Answer:15n + 3 = 153
Step-by-step explanation:
15n + 3 = 153
product of 15 and a number n is 15n, and 3 more gets the plus 3, and it said all of this is 153
n=10 also as subtract 3 both sides then get 15n=150 get n by itself by dividing both sides by 15 and get n=10
What is a common denominator of 1 2 / 3 and 3 / 4? Please answer.
Answer:
The answer is that 1 2/3 and 3/4 common denominate is /12
Step-by-step explanation:
3 x 4 equals 12 then multiply 2 by 4 and 3 by 3 then it’s 1 8/12 and 9/12
Plot the points (-7,5),(-4,-6),(-1,4),(-7,3) in the Cartesian plane. Is the following relation a function? Why?
The graph of the points can be seen at the end, and the relation is not a function.
How to graph the points on a coordinate axis?
The coordinate axis has two axis with numbers labeled. For any point (x, y), you need to find the value x on the horizontal axis and the value y on the vertical axis.
Then the graph of the points (-7,5), (-4,-6), (-1,4), (-7,3) will be like the one at the end of the answer.
Now, is this a function?
Not, it is not, because we can see that the input -7 is being mapped into two different outputs, and a relation is a function only if each input is mapped into a single output.
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help please!!!!!!!!!!
Answer:
5x(8-1)=(5x10)-(5x4)
Consider the given statement. Some shoes on display are new. For each statement below, determine whether it is a negation of the given statement. Yes No
Some shoes on display are not new.
None of the shoes on display are new.
Every shoe on display is new.
Not every shoe on display is new.
Answer:
Step-by-step explanation:
1. YES
2. NO
3.NO
4. YES
1. This is because only some shoes are new not all of them.\
2. There are some new shoes so it is wrong.
3. Not all of them are new
4. Not every shoe is new because there are some old shoes.
A 10-ft pendulum swings through an angle of 40°6'. What is the length of the arc that the tip of the pendulum travels? Round
intermediate calculations to 3 decimal places. Round your final answer to the nearest hundredth of a foot.
The length of the arc that the tip of the pendulum travels is approximately 7 feet.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
We can use the formula for the length of an arc of a circle to find the length of the arc that the tip of the pendulum travels:
Arc length = (angle/360) x 2πr
where: angle = the central angle (in degrees or radians) that the arc subtends and r = the radius of the circle
First, we need to convert the angle from degrees and minutes to decimal degrees.
There are 60 minutes in a degree, so:
40°6' = 40 + 6/60 = 40.1 degrees
Now we can plug in the values:
Arc length = (40.1/360) x 2π(10 feet)
Arc length = 6.99 feet
Hence, the length of the arc that the tip of the pendulum travels is approximately 7 feet.
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PLEASE HELP; BEEN STUCK ON THIS PROBLEM FOR A WHILE:
Answer:
been a while, so I'd check w someone else too, but hope this helps
Step-by-step explanation:
Parallelogram ABCD is a rhombus. Side BC = 5cm and segment AO = 3.8cm
What is the measure of angle d₁°?
What is the tangent ratio of angle c₂?
Answer:
Let's call angle d₁ "θ". To find θ, we can use the Pythagorean theorem. The segment AO is the hypotenuse of a right triangle with sides BC/2 and AC/2 (since the rhombus is a parallelogram, opposite sides are equal).
AC/2 = (BC/2) / tan(θ)
So:
tan(θ) = AC/2 / (BC/2)
Plugging in the values we have:
tan(θ) = 3.8 / (5/2) = 3.8 / 2.5 = 1.52
Therefore,
θ = tan^(-1)(1.52) = 55.23°
The tangent ratio of angle c₂ is simply the tangent of the angle:
tan(c₂) = tan(90° - θ) = tan(90° - 55.23°) = tan(34.77°) = 1.52
So the tangent ratio of angle c₂ is 1.52.
Step-by-step explanation:
Rui is a professional deep water free diver. His altitude (in meters relative to sea level), x xx seconds after diving, is modeled by: d ( x ) = 1 2 x 2 − 10 x d(x)= 2 1 x 2 −10xd, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction, x, squared, minus, 10, x How many seconds after diving will Rui reach his lowest altitude?
Answer: look at the image for the answer and explanation
Step-by-step explanation:
Below is a square based pyramid. Calculate the length of side I
The slant height of the square base pyramid is calculated as l = 17 using the Pythagoras rule.
What is the Pythagoras ruleThe Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
we can observe the right triangle with hypotenuse l, height = 15, and base = 8 {half the pyramid base of 16}
the slant height is calculated as follows:
l² = 15² + 8²
l² = 225 + 64
l² = 289
l = √289 {take square root of both sides}
l = 17.
Therefore, the slant height of the square base pyramid is calculated as l = 17 using the Pythagoras rule.
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What are the coordinates of R′ for the dilation D(0. 5, P)(PQRS)?
Answer:
the coordinate of the R' after the dilation is (-1,-0.5)
Step-by-step explanation:
Which choices are equivalent to the expression below?
Check all that apply.
√24
A. 4.√6
B. 2 √6
C. √4.6
D. 24
E. 8.√6
F. √12
The value equivalent to the expression is (2)√6 and option B is the correct answer.
What is prime factorization?Finding the prime factors of a given number, such as a composite number, is done through the process of prime factorization. The prime numbers are the only components in these factors. A number with just the number itself and factor 1 is said to be a prime number.
the quantities that are multiplied to produce new quantities. For instance, the factors of 15 are 3 and 5, or 3 + 5 = 15.
The given expression is √24.
Find the prime factorization of 24:
2 | 24
2 | 12
2 | 6
3 | 3
| 1
Thus, √24 can be written as:
√24 = √(2)²(2)3
√24 = (2)√6
Hence, the value equivalent to the expression is (2)√6 and option B is the correct answer.
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please thank you mwaaaaaaaaaaaaa
The exact perimeter of the segment is 54.13 inches, and the exact area of the segment is 301.44 square inches.
What is perimeter and area enclosed in circle?
A circle is also defined by two properties: area and perimeter. The formulas for both the measures of the circle are given by; Area of a circle = πr². The perimeter of a circle = 2πr.
Let's call the center of the circle O and the endpoint of the arc A. Let's also call the endpoint of the chord that defines the segment B. Then we have an isosceles triangle OAB, where OA = OB = 24 inches.
1) The perimeter of the segment is equal to the length of the arc plus the length of the chord. To find the length of the arc, we can use the formula:
Arc length = (Ф / 360) * 2πr,
where Ф is the measure of the angle in degrees, r is the radius (which is 24 inches in this case), and π is pi.
In this case, the measure of the angle is 60°, so the length of the arc is:
Arc length = (60 / 360) * 2π * 24 inches
Arc length = (1/6) * 2π * 24 inches
Arc length = 4π inches
To find the length of the chord, we can use the formula:
Chord length = 2r * sin(Ф/2), where r is the radius and Ф is the measure of the angle in radians.
First, we need to convert the angle measure from degrees to radians:
60° = 60 * (π / 180) radians = π / 3 radians
Now, we can find the length of the chord:
Chord length = 2 * 24 * sin(π / 6)
Chord length = 24 * 2 * sin(π / 6)
Chord length = 24 * √3 inches
Finally, we can add the length of the arc and the chord to find the perimeter:
Perimeter = 4π + 24 * √3
Perimeter = 4π+41.57
Perimeter = 54.13 inches
2) To find the area of the segment, we can use the formula:
Area = (Ф/ 360) * πr², where Ф is the measure of the angle in degrees and r is the radius.
In this case, the measure of the angle is 60°, so the area of the segment is:
Area = (60 / 360) * π * 24² square inches
Area = (1/6) * π * 576 square inches
Area = 96π square inches
Area = 301.44 square inches
So, The exact perimeter of the segment is 54.13 inches, and the exact area of the segment is301.44 square inches.
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Which represents the solution to the inequality 5.1(3+2.2x)>-14.25-6(1.7x+4)?
X=<-2.5
x>2.5
(-2.5,~)
(-~,2.5)
Step-by-step explanation:
Hope it helps :) #CarryOnLearning
HELP PIECEWISE LINEAR RELATIONS
The required description of the given piecewise linear relations is graphed, as follows:
f(x) = 1 if [-3, -1); f(x) = 2 if [-1, 1); and f(x) = 3 if [1, 3).
What is a piecewise function?A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).
The graph of the piecewise linear relations is given in the question, as shown
f(x) = 1 if [-3, -1)
This the sub-function define between the interval [-3, -1).
f(x) = 2 if [-1, 1)
This the sub-function define between the interval [-1, 1).
f(x) = 3 if [1, 3)
This the sub-function define between the interval [1, 3).
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Unions, intersections, and complements involving 2 sets
A = {f, k, m, y}
B' = {k, x, y}
[tex]A \cup B' = \{f, ~k, ~m, ~y, ~x\}[/tex]
(every element from A and any other element that B' has that A didn't)
A' = {q, x}
B' = {k, x, y}
[tex]A \cap B' = \{x\}[/tex]
(x is the only element that both sets have)
Since Mars is smaller than Earth, a projectile near the surface of Mars accelerates downward at a rate of only 3.8 meters per second every second. Suppose that an astronaut on the surface of Mars throws a ball upward at time t=0 such that the ball reaches a maximum height of 15 meters. Let h(t) be the height of the ball in meters t seconds after being thrown. Using the method of scaling and shifting from In-Class Activity 9.A, derive a formula for h(t)
The maximum height the rock reaches 3.15 feet and the rock will be above the surface for 2.6 seconds
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
here, we have,
From the graph of the function h(t) = 1 + 4t - 1.86t²:
The maximum height the rock reaches 3.15 feet.
Time spent on air
= 2.38 - (-0)
= 2.38 seconds
The maximum height the rock reaches 3.15 feet and the rock will be above the surface for 2.6 seconds.
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what does x+y=mb mean
Answer: The equation "x + y = mb" represents a linear equation in two variables, x and y. In this equation, m is a constant and b is another constant or a known value. The equation states that the sum of x and y is equal to the product of m and b.
This equation can be used to model a variety of real-world situations where two quantities are related and their sum is equal to a constant value. For example, it could represent the amount of money saved by two people, where x and y are the savings of the two people and mb is the total amount of money saved.
To solve for x and y, we can use either substitution or elimination method, or any other method for solving systems of linear equations. The values of x and y that satisfy the equation "x + y = mb" are called the solutions of the equation.
Step-by-step explanation:
Question 2 of 25
What is the slope of the line containing (-1, 5) and (2,-4)
The slope of the line containing (-1, 5) and (2, -4) will be negative 3.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are (-1, 5) and (2, -4). Then the slope of the line is given as,
m = (5 + 4) / (- 1 - 2)
m = 9 / (-3)
m = - 3
The slope of the line containing (-1, 5) and (2, -4) will be negative 3.
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Find the distance the point P(3, 1, 7), is to the plane through the three points
Q(5, 0, 3), R(0, -1, 7), and S(7, 5, 0).
To find the distance from a point P to a plane defined by three points Q, R, and S, we can use the following formula:
distance = |(A * x + B * y + C * z + D) / √(A^2 + B^2 + C^2)|
where (A, B, C) are the coefficients of the normal vector of the plane, (x, y, z) are the coordinates of the point P, and D is the constant in the equation of the plane.
To find the coefficients of the normal vector, we can use the cross product of two vectors lying in the plane, say, QR and RS.
Let's first find the vectors QR and RS:
QR = (5 - 0, 0 - (-1), 3 - 7) = (5, 1, -4)
RS = (7 - 0, 5 - (-1), 0 - 7) = (7, 6, -7)
Next, we find the cross product of QR and RS:
cross product of QR and RS = (B, C, A) = (7, -30, 15)
So, the normal vector of the plane is (15, -30, 7).
Now we substitute the values for the coefficients and the coordinates of the point P into the formula:
distance = |(15 * 3 + (-30) * 1 + 7 * 7 + D) / √(15^2 + (-30)^2 + 7^2)|
To find the value of D, we can use any of the three points on the plane and substitute their coordinates into the equation of the plane in the form Ax + By + Cz + D = 0.
Let's use the point Q:
15 * 5 + (-30) * 0 + 7 * 3 + D = 0
Expanding and solving for D, we get:
75 + 21 + D = 0
D = -96
Finally, substituting the values back into the formula for distance, we get:
distance = |(15 * 3 + (-30) * 1 + 7 * 7 + -96) / √(15^2 + (-30)^2 + 7^2)|
distance = |(-24 + -30 + 49 - 96) / √(15^2 + (-30)^2 + 7^2)|
distance = |(-101) / √(15^2 + (-30)^2 + 7^2)|
distance = |(-101) / √(15^2 + (-30)^2 + 7^2)|
distance = |(-101) / √(225 + 900 + 49)|
distance = |(-101) / √1274|
distance = |(-101) / 35.6|
distance = 2.85
So, the distance between the point P and the plane is approximately 2.85.
A function is given.
g(x) =
4
x + 5
; x = 0, x = h
(a) Determine the net change between the given values of the variable.
(b) Determine the average rate of change between the given values of the variable.
A function is given net change and the average rate of change between the given values of the variable.
A. = - [tex]\frac{4h}{7h + 49}[/tex]
B. = - [tex]\frac{4}{7h + 49}[/tex]
What exactly is a sample average rate?Examples of average rates of change include: 80 kilometres per hour is the average speed of a bus. At a pace of 100 each week, a lake's fish population grows. For every 1 volt drop in voltage, the current in an electrical circuit reduces by 0.2 amps.
According to given information:a) The net change is just the difference between g(h) and g(0). This is found below.
g(h) - g(0) = [tex]\frac{4}{h + 7}[/tex] - [tex]\frac{4}{0 + 7}[/tex]
= [tex]\frac{28 - 4h -28}{7h + 49}[/tex]
= - [tex]\frac{4h}{7h + 49}[/tex]
b) The average rate of change is the net change divided by the length of the interval. This is:
[tex]\frac{g(h) - g(0)}{h - 0}[/tex] = - [tex]\frac{{4h}/{7h + 49}}{h - 0}[/tex]
= - [tex]\frac{4}{7h + 49}[/tex]
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You randomly draw once from this deck of cards.
4 6
1 6 9 4
8
1
1
2 6 7
What is the probability of not drawing an even number? Write your
answer as a fraction.
9
5
Answer:why not
Step-by-step explanation:that sa prrety nice ask
Answer: 5/8
Step-by-step explanation:
The probability of not drawing an even number can be calculated by finding the number of odd numbers in the deck and dividing by the total number of cards. In this deck, there are 5 odd numbers: 1, 1, 1, 7, and 9. The total number of cards is 8. Therefore, the probability of not drawing an even number is 5/8. The answer is written as a fraction as 5/8.
Please help quickly!
Using the rules for matrix multiplication we will see that a₁₂ = 144
How to find the element a₁₂?That would by the second element on the first row of the product matrix.
Remember how the product works, we will get:
a₁₂ = 24*2 + 32*3
a₁₂ = 48 + 96
a₁₂ = 144
The correct option is the last one.
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what is the mean of 79g, 88g, 116g, 109g, 93g
To find the mean (average) of a set of numbers, you add up all the numbers and then divide by the number of items in the set.
Mean = (79g + 88g + 116g + 109g + 93g) / 5
Mean = (475g) / 5
Mean = 95g
So, the mean of the set of numbers is 95g.
The value of mean of the data set is,
⇒ Mean = 97 g
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Data set is,
79g, 88g, 116g, 109g, 93g
Now, We get;
The mean of data set is,
⇒ Mean = 79g + 88g + 116g + 109g + 93g / 5
⇒ Mean = 485g / 5
⇒ Mean = 97 g
Thus, The value of mean of the data set is,
⇒ Mean = 97 g
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All numbers less than 17 and greater than or equal to -8. into SET BUILDER NOTATION!!
Answer:
The set of all numbers less than 17 and greater than or equal to -8 can be expressed in set builder notation as:
{x | -8 <= x < 17}
Step-by-step explanation:
Set builder notation is a way of expressing a set of elements in mathematical terms. The syntax of set builder notation is {x | <condition>}, where x represents an element in the set and the condition specifies the properties that the element must satisfy to be included in the set.
In this case, the set consists of all numbers less than 17 and greater than or equal to -8. The condition for the set is -8 <= x < 17, where x is a real number. This means that x must be greater than or equal to -8 and less than 17 in order to be included in the set.
Therefore, the set of all numbers less than 17 and greater than or equal to -8 can be expressed in set builder notation as:
{x | -8 <= x < 17}.
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.8° is added to the data, how does the range change?
The range decreases to 44°.
The range increases to 52°.
The range stays 46°.
The range stays 48°.
Answer: the enswer is c the range is 46
Step-by-step explanation:
Bob and Tom are graduating and are no longer going to be roommates, but they both want to keep the cat they adopted. Using the Method of Sealed Bids, Bob bids $34 and Tom bids $73 for the cat. Since Tom's bid is higher, he gets the cat. How much will he have to pay Bob in order to keep the division fair? Be sure to compute your answer to the nearest
state the next terms in the sequence of number 8, 4, 2, 1 -1/2
The next term in the sequence of number 8, 4, 2, 1, 1/2 is 1/4
How to determine the next term of the sequenceFrom the question, we have the following parameters that can be used in our computation:
The sequence of number 8, 4, 2, 1 -1/2
Express properly
The sequence of number 8, 4, 2, 1, 1/2
The above definitions imply that we simply divide the previous term by 2 to get the current term
Using the above as a guide,
Next term = (1/2)/2
Evaluate
Next term = 1/4
Hence, the next term is 1/4
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when does the circle intersect the y axis
Answer:
i thinks its A im not for sure but give some money if its wrong fam bc im nice like that
Step-by-step explanation:
Slope int form or general form PLS HELP
Answer:
y = 4x + 32
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x ← is in slope- intercept form
with slope m = 4 and y- intercept = 0
• Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
to find c substitute (- 8, 2 ) into the partial equation
2 = 4(- 8) + c = - 32 + c ( add 32 to both sides )
34 = c
y = 4x + 32 ← in slope- intercept form
The frequency diagram shows the heights of students in a class.
a) How many students were over 145 cm?
b) How many students had a height
between 125 cm and 140 cm?
c) How many students were in the class?
a.) The number of students that are over 145cm = 13
b.) The number of students with the height between 125 cm and 140 cm = 21 students.
C.) The number of students that were in class = 37
What is a frequency table?A frequency table is defined as a statistical tool that is used to organize the data given so that it makes it more meaningful and easier to understand.
To calculate the number of students that are over 145cm = 8+4+1 = 13 students.
To calculate the number of students that had a height
between 125 cm and 140 cm = 2+5+6+8 = 21 students.
To calculate the number of students that were in class= 3+2+5+6+8+8+4+1 = 37 students.
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