Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?

Answers

Answer 1

The distance between points C and D is given as follows:

5 units.

How to calculate the distance between two points?

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

[tex]D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}[/tex]

D = 5 units.

More can be learned about the distance between two points at https://brainly.com/question/7243416

#SPJ1


Related Questions

The accompanying figure shows the velocity v= ds/dt=​f(t) (m/sec) of a body moving along a coordinate line.
a. When does the body reverse​ direction?
b. When is it moving at a constant​ speed?
c. Graph the​ body's speed for 0≤t≤10.
d. Graph the​ acceleration, where defined.

Answers

The values on the graph of the velocity of the body, indicates that we get;

a. t = 2 seconds and t = 7 seconds

b. 3 ≤ t ≤ 6

c. Please find attached the speed of the body in the interval 0 ≤ t ≤ 10 created with MS Excel

b. Please find attached the acceleration of the body in the interval 0 ≤ t ≤ 10

What is velocity?

Velocity is the rate of change of the position of an object with respect to a specified reference frame and time.

The figure is a velocity time graph, and the velocity of an object is the rate of change of the displacement with time, such that when graph is above the horizontal axis, the velocity is positive, and when the velocity is below the horizontal axis, the velocity is negative, therefore, we get;

a. When the velocity of the changes sign, the direction of the body reverses. The points at which the velocity changes sign, which are the x-intercepts are at t = 2, and t = 7

b. The speed is constant when the velocity remains the same, which are locations on the graph, where the graph is an horizontal line. Therefore, the interval at which the body is moving at a constant velocity is; 3 ≤ t ≤≤6

c. The speed of a body is its absolute velocity, which can be found from the graph by taking the absolute value of the velocity at each point on the graph as follows;

The points on the resulting graph will therefore be; (0, 0), (1, 4), (3, 4), (6, 4), (8, 4) and (10, 0).

Please find attached the speed of the body in the interval 0 ≤ t ≤ 10

d. The acceleration is the rate of change of the velocity of the body with time. The acceleration of the body which has a velocity graph consisting of straight lines is a piecewise constant graph, such that we get;

From t = 0 to t = 1, a = (4 - 0)/(1 - 0) = 4

From t = 1 to t = 3, a = (4 - (-4))/(1 - 3) = -4

From t = 3 to t = 6 , a = (-4 - (-4))/(6 - 3) = 0
From t = 6 to t = 8, a = (4 - (-4))/(8 - 6) = 4

From t = 6 to t = 10, a = (0 - 4)/(10 - 8) = -2

Please find attached the graph of the acceleration of the body, created with MS Excel

Learn more on velocity here: https://brainly.com/question/30046122

#SPJ1

Which list includes three processes that are represented in the rock cycle
diagram and lists them in the correct order, starting with x ?

A. Reaction with chemically active fluids, melting, uplift
B. Melting, uplift, reaction with chemically active fluids
OC. Uplift, melting, reaction with chemically active fluids
D. Uplift, reaction with chemically active fluids, melting

Answers

In the rock cycle diagram, these three processes occur in a specific order as D. Uplift, reaction with chemically active fluids, melting

Uplift: Uplift refers to the movement of rocks from deep within the Earth's crust towards the surface. This can occur due to tectonic forces, such as plate collisions or volcanic activity. Uplift exposes rocks to the Earth's surface, where they can undergo further processes.

Reaction with chemically active fluids: Once rocks are uplifted and exposed to the surface, they come into contact with chemically active fluids, such as water or magma. These fluids can infiltrate the rocks, leading to chemical reactions and alteration of their composition. This process is commonly observed in hydrothermal systems or areas of volcanic activity.

Melting: The last step in the sequence is melting. When rocks are subjected to intense heat and pressure, either due to tectonic forces or proximity to a magma source, they can undergo partial or complete melting. This molten rock, called magma, can then solidify and form igneous rocks through processes like cooling and crystallization.

Option D correctly represents the order of these processes in the rock cycle diagram. It starts with uplift, followed by the reaction with chemically active fluids, and concludes with melting. Understanding the sequence of these processes is crucial for comprehending the dynamic nature of Earth's geology and the continuous transformation of rocks throughout geological time. Therefore, Option D is correct.

Know more about Earth's crust here:

https://brainly.com/question/1155484

#SPJ8

* Consider following set of characters a language which uses the Prefix set: {a ei} Small set: { b c d } Large set: { B C D} Punctuation set: { x y } This language must follow the following rules: 1. Each series must contain one and only one prefix character 2. A series must start with a prefix character 3. A series must end with a punctuation character 4. A series can have up to but no more than 5 characters, including prefix and punctuation characters. Does the following series follow all the rules of the language defined above?
The answer is axBx
Yes or No​

Answers

Yes, The series "axBx" satisfies all the rules of the language defined above

Let's analyze each rule:

1. Each series must contain one and only one prefix character:

The series "axBx" contains one prefix character, 'a'. It meets this rule by having exactly one prefix character.

2. A series must start with a prefix character:

The series "axBx" starts with the prefix character 'a'. It satisfies this rule by starting with the required prefix character.

3. A series must end with a punctuation character:

The series "axBx" ends with the punctuation character 'x'. It follows this rule by ending with the required punctuation character.

4. A series can have up to but no more than 5 characters, including prefix and punctuation characters:

The series "axBx" has a total of 5 characters, which includes the prefix character 'a', the letters 'x' and 'B', and the punctuation character 'x'. It adheres to this rule by having the maximum allowed number of characters in the series.

Therefore, the series "axBx" satisfies all the rules of the language defined above. It contains one prefix character, starts with a prefix character, ends with a punctuation character, and has the maximum allowed number of characters.

for more such question on series visit

https://brainly.com/question/30087275

#SPJ8

Find the exact value of sin

Answers

Answer:

the exact value of a sin is god

Drag each tile to the correct box. Not all tiles will be used. What is the correct sequence of steps needed to copy angle ABC onto ray DE to create angle FDE ?

Answers

To copy angle ABC onto ray DE to create angle FDE, the correct sequence of steps are:

1.Step 1: Draw ray DE.

2. Step 2: Place the compass at point D and set the width to any convenient width.

3. Step 3: Without changing the width, draw an arc that cuts both rays DE and DC. Label the intersection point F.4. Step 4: Place the compass at point B and set the width to the same amount.

5. Step 5: Without changing the width, draw an arc that intersects with ray BC.

6. Step 6: Without changing the width, draw an arc that intersects with the previously drawn arc at point G.

7. Step 7: Draw a line from point D to point G.

8. Step 8: Draw a line from point F to point E.
9. Step 9: The created angle FDE is the copy of angle ABC.

Thus, the correct sequence of steps needed to copy angle ABC onto ray DE to create angle FDE are:

Draw ray DE, place the compass at point D and set the width to any convenient width, without changing the width, draw an arc that cuts both rays DE and DC, label the intersection point F, place the compass at point B and set the width to the same amount, without changing the width, draw an arc that intersects with ray BC, without changing the width, draw an arc that intersects with the previously drawn arc at point G, draw a line from point D to point G, draw a line from point F to point E, the created angle FDE is the copy of angle ABC.

for more such questions on  sequence

https://brainly.com/question/30762797

#SPJ8

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
x + 1 minus StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction
x + 1 + StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction
x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction
x + 1 + StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction

Answers

The height is  (x + 1) /x⁴ + 4x³ + 3x² + 8. Option D

How to determine the value

From the information given, we have that the formula for calculating the volume of a rectangular prism is expressed as;

Volume = area × height

Then, we have that;

Area = x³ + 3x² + 8

Volume = x⁴ + 4x³ + 3x² + 8x + 4

Now, substitute the values, we get;

x⁴ + 4x³ + 3x² + 8x + 4 =  x³ + 3x² + 8 × height

Divide both sides by the coefficient of the height, we have;

Height =  x⁴ + 4x³ + 3x² + 8x + 4 /x³ + 3x² + 8

Factor the expression;

Height = (x + 1) /x⁴ + 4x³ + 3x² + 8

Learn more about volume at: https://brainly.com/question/11562149

#SPJ1

A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 joules of energy. Set up a calculation to find the number of meters the car travels with this amount of energy.

Drag each tile to the correct location. The tiles can be used more than once.

Js141756

Answers

Answer: the car travels 2,870 meters with 52,700 joules of energy.

Step-by-step explanation:

The given car uses 756 joules of energy every second. So, it would use x amount of energy to travel for t seconds. We know that the car uses 52,700 joules of energy. Let's find the time first.T = E ÷ P = 52,700 ÷ 756 = 70 seconds.

Now, we can calculate the distance covered by the car with this amount of energy.

Distance = Speed × Time = 41 m/s × 70 s = 2,870 meters.

Therefore, the car travels 2,870 meters with 52,700 joules of energy.

There are five boys to every seven girls in an introductory geology course. If there are 408
students enrolled in the course, how many are boys?

Answers

Answer:

170 boys

Step-by-step explanation:

If there are five boys to every seven girls, then one group will have a total of 12 students.

Since there are 408 total students enrolled, then there would be 408/12 = 34 groups.

Therefore, there are 5*34 = 170 boys

Suppose that half of the population of a town consumeKsh of rice. One hundred investigatoKsh are appointed to find out it's truth. Each investigator interviewed 10 individuals. How many investigatoKsh do you expect to report three or less of the people interviewed consumeKsh of rice?

Answers

The expected number of investigators who will report that 3, 4, or 5 people are consumers of rice is 57 investigators.

How to find the investigators ?

The binomial distribution B(n, p) describes the behavior of a count X of successes in n independent trials, each with its own boolean-valued outcome: success (with probability p) or failure (with probability q = 1-p).

We want to find the probability that an investigator reports 3, 4, or 5 people are consumers of rice. The probability P(X=k) for a binomial distribution is given by the formula:

P(X=k) = C(n, k) * p^k * q^(n-k)

So we want to find P(X=3) + P(X=4) + P(X=5) :

P(X=3) = C(10, 3) * (0.5)^3 * (0.5)^(10-3)

= 0.117

P(X=4) = C(10, 4) * (0.5)^4 * (0.5)^(10-4)

= 0.205

P(X=5) = C(10, 5) * (0.5)^5 * (0.5)^(10-5)

= 0.246

The expected number of investigators who will report three or less of the people interviewed consumed is :

= P(X=3) + P(X=4) + P(X=5)

= 0.117 + 0.205 + 0.246

= 0.568

Find out more on expected number at https://brainly.com/question/25992005

#SPJ1

Full question is:

Suppose that half the population of a town are consumers of rice. Each of 100 investigators interviews 10 individualas to see wheather they are consumers of rice. How many investigators do you expert to report that three or more but less than six people are consumers of rice?

dont know what it means

Answers

The statements that are correct about the function that have been shown are;A, B, C, F

What is exponential function?

A mathematical function called an exponential function has the independent variable in the exponent. Its general form is:

f(x) = a^x

where "x" is the variable and "a" is the base, a positive constant. The exponential function's appearance and behavior depend on the base "a".

The function grows exponentially when the base "a" is greater than 1. The function expands quickly as "x" grows in value. As "x" rises, the growth rate becomes steeper.

Learn more about exponential function:https://brainly.com/question/29287497

#SPJ1

Suppose two green crayons, one blue crayon, and one red crayon are in a box. Two crayons are randomly selected
one at a time without replacement. Let X be the number of red (R") crayons selected.
a.) Which of the following represents the sample space for this scenario?
GG, GB, GR, BG, BB, BR, RG, RB, RR
GG, GB, GR, BG, BR, RG, RB
GB, GR, BG, BR, RG, RB
GBR, GRB, RGB, RBG, BGR, BRG
b.) Construct a probability distribution for X. (round to three decimal places)
X
0
1
2
P(X)

Answers

a.) The sample space for this scenario would be: Option A.

GG, GB, GR, BG, BB, BR, RG, RB, RR

b The probability distribution for X is:

X | 0 | 1 | 2 |

P(X) | 1/3 | 2/3 | 0 |

How to explain the information

GG: There are no red crayons selected. X = 0.

GB, BG, RG: Only one red crayon is selected. X = 1.

GR, RB: One red crayon and one non-red crayon are selected. X = 1.

BB: There are no red crayons selected. X = 0.

BR, RB: One red crayon and one non-red crayon are selected. X = 1.

RR: Two red crayons are selected. X = 2.

The probability distribution for X would be as follows:

X = 0: P(X = 0) = 2/6 = 1/3

X = 1: P(X = 1) = 4/6 = 2/3

X = 2: P(X = 2) = 0/6 = 0

Learn more about sample space on

https://brainly.com/question/10558496

#SPJ1

The library has 2,790 fiction books and 210 non-fiction books. What percentage of the books at the library are fiction books?

Answers

The percentage of the books at the library are fiction books is 93%.

What is percentage of the books at the library are fiction books?

The percentage of the books at the library are fiction books is calculated as follows;

Total number of books = 2,790 (fiction) + 210 (non-fiction) = 3,000

Percentage of fiction books = (number of fiction books) / (total number of books) x 100%

Percentage of fiction books  =  (2,790 / 3,000) x 100

Percentage of fiction books = (0.93)  x 100

Percentage of fiction books  = 93%

Thus, the percentage of the books at the library are fiction books is determined by applying percentage formula.

Learn more about percentage here: https://brainly.com/question/24304697

#SPJ1

In the space provided below, state whether or not the condition is deducible (valid). If it is not,
comment on the error in the reasoning.

a) If a student has room 303 as his or her homeroom, the student is a freshman. Joe is a student of the
school and has room 303 as his homeroom. Therefore, Joe is a freshman.


b) If the three angles of a triangle are acute, then the triangle is acute. In triangle ABC, angles A and B
are acute. Therefore, triangle ABC is acute.


c) All school buses stop at railroad crossings. A vehicle stopped at the Santa Fe railroad crossing.
Therefore, that vehicle is a school bus.


d) All cloudy days are depressing. Therefore, since I was depressed on Thursday, Thursday was cloudy.

Answers

a) The condition is deducible (valid). Joe having room 303 as his homeroom confirms he is a freshman.

b) The condition is deducible (valid). If angles A and B in triangle ABC are acute, then triangle ABC is acute.

c) The condition is not deducible (invalid). A vehicle stopped at a railroad crossing does not necessarily mean it is a school bus.

d) The condition is not deducible (invalid). Being depressed on Thursday does not imply that Thursday was cloudy.

a) The condition is valid. The reasoning is correct because it follows a valid logical form of "If A, then B." In this case, if a student has room 303 as their homeroom (A), then the student is a freshman (B). Joe is a student with room 303 as his homeroom, so it can be deduced that Joe is a freshman.

b) The condition is valid. The reasoning is correct because it follows a valid logical form of "If A, then B." In this case, if the three angles of a triangle are acute (A), then the triangle is acute (B). Given that angles A and B of triangle ABC are acute, it can be deduced that triangle ABC is acute.

c) The condition is not valid. The error in reasoning is called "affirming the consequent." While it is true that all school buses stop at railroad crossings, it does not necessarily mean that any vehicle stopped at the Santa Fe railroad crossing is a school bus. There could be other vehicles, such as cars or trucks, stopped at the crossing for various reasons.

d) The condition is not valid. The error in reasoning is similar to affirming the consequent. Just because all cloudy days are depressing does not mean that all instances of being depressed imply a cloudy day. There could be various reasons for feeling depressed on Thursday, unrelated to the weather conditions.

for such more question on triangle

https://brainly.com/question/2217700

#SPJ8

similarity in right triangles

Answers

Answer:

Step-by-step explanation:

Are the two lines parallel, perpendicular or neither? Y + 1= -5x y= 1/5 x -2

Answers

The two lines are neither parallel nor perpendicular.

To determine whether two lines are parallel, perpendicular, or neither, we need to compare their slopes. Let's examine the given lines and analyze their slopes:

Line 1: y + 1 = -5x

We can rewrite Line 1 in slope-intercept form (y = mx + b) by isolating y:

y = -5x - 1

From this equation, we can identify that the slope of Line 1 is -5.

Line 2: y = (1/5)x - 2

Line 2 is already in slope-intercept form, and we can observe that the slope of Line 2 is 1/5.

Compare the slopes: The slopes of Line 1 and Line 2 are -5 and 1/5, respectively. Since the slopes are not equal (they are not the same value), the lines are not parallel.

Determine perpendicularity: To determine if the lines are perpendicular, we need to check if the product of their slopes is -1. Multiplying the slopes of Line 1 and Line 2, we have:

(-5) * (1/5) = -1

Since the product is -1, the lines would be perpendicular. However, in this case, the product of the slopes is -1/5, not -1. Therefore, the lines are not perpendicular either.

Hence, the two lines given by the equations y + 1 = -5x and y = (1/5)x - 2 are neither parallel nor perpendicular.

For more such questions on lines, click on:

https://brainly.com/question/26961508

#SPJ8

-2d=8.6 solve the equation

Answers

Answer:

d = -4.3

Step-by-step explanation:

-2d = 8.6

d is being multiplied by -2. You want d alone, so divide both sides of the equation by -2.

-2d/-2 = 8.6/-2

d = -4.3

d= -4.3


Step by step:

2d/2 = -8.6/2

d= -8.6/2

So the answer is d= -4.3

Water usage varies greatly in different countries, from as little as 20 liters a day

Answers

Answer: 287.1 billion liters

Step-by-step explanation:

Water usage per person: 30 liters/day

World population: 9.57 * 10^9

Total water needed = Water usage per person * World population

Total water needed = 30 liters/day * 9.57 * 10^9

To simplify the calculation, we can express 9.57 * 10^9 in scientific notation:

Total water needed ≈ 30 liters/day * 9.57 * 10^9

To multiply the two values, we multiply the numbers and add the exponents:

Total water needed ≈ (30 * 9.57) * 10^(0 + 9)

Total water needed ≈ 287.1 * 10^9

Now, we can convert the result back to standard notation:

Total water needed ≈ 287,100,000,000 liters

Therefore, if every person in the world used 30 liters of water a day, the total amount of water needed for one day would be approximately 287.1 billion liters.

287.1 billion because that’s what it is when I calculated

The inside of the bronchioles are covered in ______ and ______ that trap and remove dust and other foreign particles. a fibers and tendons b cilia and mucus c hair and cartilage d sacs and cells

Answers

The inside of the bronchioles are covered in cilia and mucus that trap and remove dust and other foreign particles. The Option B.

What covers the inside of the bronchioles?

The bronchioles which are small air passages in the lungs are lined with specialized structures called cilia and produce mucus. The cilia are tiny hair-like structures that constantly beat in coordinated motions, creating a wave-like movement.

The mucus which i a sticky substance is produced by goblet cells and acts as a protective layer. Together, the cilia and mucus form a defense mechanism that helps trap and remove dust, pollen, bacteria and other foreign particles that enter the airways during breathing.

Read more about bronchioles

brainly.com/question/27513208

#SPJ1

A man receives 6% commission on all sales excluding the first R10 000. If he made R70 000 in sales, how much commission would he get?

Answers

The man would receive a commission of R3,600 on sales totaling R70,000, with a 6% commission rate excluding the first R10,000.

How to Calculate the Commission Received?

To calculate the commission, we first need to determine the sales amount on which the commission applies.

In this case, the first R10,000 is excluded from the commission calculation.

Therefore, the commission would be calculated on the remaining amount of R70,000 - R10,000 = R60,000.

To find the commission, we multiply the sales amount by the commission rate of 6%:

Commission = R60,000 * 6% = R3,600.

Therefore, the man would receive R3,600 in commission.

Learn more about commission on:

https://brainly.com/question/26283663

#SPJ1

what is the solution for the following equation 5x+7x=60

Answers

The solution for the following equation 5x+7x=60 is x=30.

How can the equation be solved?

A statement that affirms the equivalence of two expressions joined by the equals symbol "=" is known as an equation. For illustration, 2x - 5 = 13.  The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given that 5x+7x=60

2x =60

x=60/2

=30

Learn more about equation at;

https://brainly.com/question/2972832

#SPJ1

Consider the system of equations (see attached)

Answers

The given system of equations is represented as: 2x - 3y + z = 0-2x - y + 4z = 7x + 2y - 5z = -5

The solution of the given system of equations is x = 2, y = -1, z = 3, which can be verified by substituting these values of x, y and z in each equation of the given system of equations, respectively.

The given system of equations is a consistent system of equations, which means it has a unique solution.

The unique solution is found by solving the equations simultaneously using different methods such as substitution method, elimination method or matrix method.

for such more questions on equations

https://brainly.com/question/17145398

#SPJ8

Please answer this question

Answers

Step-by-step explanation:

arithmetic sequence :

a1 = 7

d = 3

an = an-1 + d = a1 + (n-1)×d

the formula for the sum of an arithmetic sequence is

n/2 × (2×a1 + (n-1)×d)

40 is a12 (n = 12), as 40-7 = 33, 33/3 = 11, 11 plus 1 from a1 is 12.

we have the sum of 12 terms.

12/2 × (2×7 + 11×3) = 6 × (14 + 33) = 6×47 = 282

so, we have :

the sum = 282

A = 12

B = 7 + (n-1)×3 = 7 + 3n - 3 = 4 + 3n

Pls help with my homework I’m giving 20 points for it so pls

Answers

Answer:

-3 and 4

Step-by-step explanation:

if y=0 then just look in the x axis

find the exact values of the following 3^-2 4^-3

Answers

The exact values of 3^-2 and 4^-3 are 1/9 and 1/64, respectively.

To find the exact values of 3^-2 and 4^-3, we must first understand the concept of exponents. Exponents are a shorthand way of representing repeated multiplication of the same number.

For example, 2^3 means 2 multiplied by itself three times: 2 × 2 × 2 = 8. Similarly, 3^4 means 3 multiplied by itself four times: 3 × 3 × 3 × 3 = 81.

3^-2 can be written as 1/3^2. Using the concept of exponents, 3^2 means 3 multiplied by itself two times: 3 × 3 = 9. Therefore, 3^-2 can be rewritten as 1/9.

4^-3 can be written as 1/4^3. Using the concept of exponents, 4^3 means 4 multiplied by itself three times: 4 × 4 × 4 = 64. Therefore, 4^-3 can be rewritten as 1/64.

For more such questions on exact values

https://brainly.com/question/32783510

#SPJ8

Identify the type of function repreaented by f(x)=3•4

Answers

Answer: 12 | Constant Function

Step-by-step explanation:

The function always produces the value 3 * 4, which is 12, regardless of the input x. Thus the answer is 12 and is a constant function.

The inequality 5m − 7 > 16 holds true for all numbers
than
in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Answers

The inequality 5m - 7 > 16 holds true for the values m = 6, 7, 8, 9, and 10, in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

To determine the values for which the inequality 5m - 7 > 16 holds true, we can solve it algebraically and then check if each value in the given set satisfies the inequality.

Let's solve the inequality:

5m - 7 > 16

Adding 7 to both sides, we have:

5m > 23

Dividing both sides by 5, we get:

m > 23/5

Now we need to check if each number in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} satisfies the inequality m > 23/5.

For m = 1:

1 is not greater than 23/5, so the inequality does not hold true.

For m = 2:

2 is not greater than 23/5, so the inequality does not hold true.

For m = 3:

3 is not greater than 23/5, so the inequality does not hold true.

For m = 4:

4 is not greater than 23/5, so the inequality does not hold true.

For m = 5:

5 is not greater than 23/5,  so the inequality does not hold true.

For m = 6:

6 is greater than 23/5, so the inequality holds true.

For m = 7, 8, 9, and 10:

All these values are also greater than 23/5, so the inequality holds true for them as well.visit

For more such question on inequality visit:

https://brainly.com/question/30238989

#SPJ8

PLEASE HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

P(A) =  0.5

P(B) = 0.33

P(A ∩ B) = 0

P( A ∪ B) = 0.83

Step-by-step explanation:

Tot = 6 + 18 + 12 = 36

P(A) = 18/36 = 0.5

P(B) = 12/36 = 0.33

P(A ∩ B) = 0

P( A ∪ B) = P(A) + P(B) - P(A and B)

= 0.5 + 0.33 - 0

= 0.83

15. Jonas played 9 holes of golf
and received the following
scores. Positive scores indi-
cate that Jonas was above
par. Negative scores indicate
that he was below par. Find
Jonas's total after 9 holes. Is
his score above or below par?
+2, +1,-1, 0, 0, -1, +3,
+4, -1

Answers

Answer:

Step-by-step explanation:

To find Jonas's total score after 9 holes of golf, we add up all the individual scores:

+2 + 1 - 1 + 0 + 0 - 1 + 3 + 4 - 1 = 7

Jonas's total score after 9 holes is 7.

Since the total score is positive (above zero), Jonas's score is above par.

Select the correct answer from each drop-down menu.
An axiom in Euclidean geometry states that in space, there are at least
Reset
points that do
Next

Answers

The axiom in Euclidean geometry states that in space, there are at least four points that do not lie in the same plane.

Why important to have at least four non-coplanar points?

Having at least four points that do not lie in the same plane is important in concept of Euclidean geometry because it allows for the construction of a three-dimensional coordinate system.

These non-coplanar points together with the three coordinate axes, form a basis for describing and analyzing spatial relationships and measurements. With a three-dimensional coordinate system, geometric figures and their properties are represented and enables the development of various mathematical principles and theorems in three-dimensional space.

Read more about Euclidean geometry

brainly.com/question/2251564

#SPJ1

How much interest is earned on an investment of $12,585 at 3.5% interest over 5 years if the interest is compounded MONTHLY?

Answers

Answer:

$2,403.02

Step-by-step explanation:

To calculate the amount of interest earned on an investment of $12,585 at 3.5% interest over 5 years if the interest is compounded monthly, we can use the compound interest formula:

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ I=P\left(1+\frac{r}{n}\right)^{nt}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ interest earned. \\ \phantom{ww}$\bullet$ $P =$ principal amount. \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form). \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year. \\ \phantom{ww}$\bullet$ $t =$ time (in years). \\ \end{minipage}}[/tex]

Given values:

P = $12,585r = 3.5% = 0.035n = 12 (compounded monthly)t = 5 years

Substitute the values into the formula and solve for I:

[tex]I=12585\left(1+\dfrac{0.035}{12}\right)^{12 \cdot 5}-12585[/tex]

[tex]I=12585\left(1.00291666...\right)^{60}-12585[/tex]

[tex]I=12585(1.19094282...)-12585[/tex]

[tex]I=14988.015...-12585[/tex]

[tex]I=2403.01550...[/tex]

[tex]I=\$2403.02[/tex]

Therefore, the interest earned on an investment of $12,585 at 3.5% interest over 5 years if the interest is compounded monthly is $2,403.02 (to the nearest cent).

Other Questions
fontaine and monroe are forming a partnership. fontaine invests a building that has a market value of $356,000 and a $128,000 note payable. monroe invests $103,000 in cash and equipment that has a market value of $78,000. for the partnership, the amounts recorded for total assets and for total partnership capital account are: Solve the initial value problem. \[ t^{2} y^{\prime \prime}-t y^{\prime}+2 y=0, \quad y(1)=1, y^{\prime}(1)=2 \] which of the following characteristics is true for any normal probability distribution? select one: a relatively small standard deviation means that the observations are relatively far from the mean. the mean, median, mode are not equal. the distribution is asymmetric. approximately 95.44% of the observations fall within 2.5 standard deviation of the mean. none of these statements is true. IoT security is business critical, and provides the right balance between which of the following? Please select all from the following that apply. privacy reliability security resiliance Question 14 1 pts What software library must one import to communicate with the pyboard? import pyboard import pboard O import pyb import pybd Explain the arguments for and against the theory that China hasbeen converging towards capitalism. Which transformation represents a reflection over the x-axis? (1 point) (x, y) (x, y) (x, y) (x , y) (x, y) (y, x) (x, y) (y, x) A line is defined by the equation [x,y,z]=[2,3,7]+t[3,2,5]. Write the parametric equations for the line and determine if it contains the point (10,5,22). a researcher often works many hours on service projects at the expense of her own research program. she never seeks recognition for this work. although this behavior has decreased her own research productivity, she thinks that helping others is more important than pursuing her own interests. this is an example of which ethical perspective? Simplify the rational expression and state the non permissible values. (3xy) 3 Select one: a. None of these. b. c. 3xy, x0, y*0 O d. 9xy, x0, y*0 e. 3xy, no restrictions on x or y Clear my choice 9xy, no restrictions on x or y Gaussian beam propagation. A Gaussian beam of wavelength lo= 10.6 um has widths Wi=1.699 mm and W2= 3.38 mm at two points separated by a distance d=10 cm. Determine (a) (1 point) the location of the waist from the first point. (b) (1 point) the waist radius Wo. chytrid and pseudogymnoascus are types of fungi that penetrate the cells of amphibians and bats. based on what you know about the invasion of fungi in plant cells, what fungal structure would you expect to penetrate amphibian and bat cells? College students have travel distances that are approximately normally distributed about a mean of 25 miles and a standard deviation of 10.7. A random sample of size 30 is taken and a mean is calculated. What is the probability that this mean will be between 20 miles and 30 miles As An IT Coordinator For Your District, Develop " Integrating IT In Various Mathematics, English And Science Curriculum" For The District.As an IT coordinator for your district, develop " Integrating IT in various Mathematics, English and Science curriculum" for the District. Write a full C++ program that will convert an input string from uppercase to lowercase and vice versa without changing its format. See the following example runs.Enter the input string:johnOutput string:JOHN Peakview Company reported net income of $166,000 during 2022. The company reported depreciation expense of $34,000, patent amortization of $10,400 and a $6,400 loss on the sale of equipment. Using the indirect method, how much is the company's net cash flow from operating activities? hanna, who is a 5-year-old girl, eats nothing but pasta, yogurt, and lemonade. each month her parents buy 21 pounds of pasta, 57 packages of yogurt, and 11 bottles of lemonade. hanna's parents have recorded the prices per unit of pasta, yogurt, and lemonade for the last four months, as shown in the table below. hanna's mealsmonthpasta (dollars per pound)yogurt (dollars per package)lemonade (dollars per bottle)january$1.94$0.96$1.94february1.771.062.12march2.171.061.87april1.971.161.92 instructions: round your answers to two decimal places. a. compute the total monthly cost of hanna's meals and indicate whether inflation, deflation (negative inflation), or no inflation occurred during these months. in january, the total monthly cost was $ . in february, the total monthly cost was $ and (click to select) . in march, the total monthly cost was $ and (click to select) . in april, the total monthly cost was $ and (click to select) . b. if hanna's parents want to buy the same quantity of pasta, yogurt, and lemonade, how much more money will they have to spend during the month of april compared to january? $ At a certain temperature the rate of this reaction is second order in CICHCHCl with a rate constant of 7.1 M CICH,CH,CI(g)CHCHCI (g) + HCI (g) Suppose a vessel contains CICHCHCl at a concentration of 0.240 M. Calculate how long it takes for the concentration of CICH,CH,CI to decrease to 7.0% of its initial value. You may assume no other reaction is important. Round your answer to 2 significant digits. Evaluate the given equation. Place your answer/s as fraction/s ONLY. Use the word "pi" if necessary. If radical equation, use at least 3 decimal places. 02 II cos3sin4d You own a small machine shop. You would like to save $180,000 to buy some new equipment two years from now. The plan is to set aside an equal amount of money each quarter, starting today. You can earn a 5.3% rate of return. How much does the firm have to save each quarter to achieve this goal? -L1 In the shapes in Fig. 13.39, calculateeach of the angles marked.a)Ba70C