The graph that has a slope of negative three halves and a y-intercept of 2 is the graph of a line passing through the points (0,2) and (3,0).
What is the slope?
One of the most important things to understand about lines is the definition of slope. The slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate the slope by dividing the change in the y-value between two points over the change in the x-value.
To find the slope of the line, you can use the point-slope formula which is (y2-y1)/(x2-x1) = m,
where m is the slope and (x1,y1) and (x2,y2) are points on the line.
So using the given points in the question, we get (0-2)/(3-0) = -2/3 = -0.66 = -3/2.
And the y-intercept is the point where the line crosses the y-axis, which is 2 in this case.
Hence, the graph that has a slope of negative three halves and a y-intercept of 2 is the graph of a line passing through the points (0,2) and (3,0).
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3. Ramon gives his friend his address: 1834 Norman Heights Hillbrow Johannesburg 3.1 What floor does Ramon live on? 3.2 What is Ramon's flat number?
The floor that Ramon lives on, given the address that Ramon gave his friend in Johannesburg, is Floor 18.
Ramon's Flat number, given the address, is Flat 34.
How to write a flat address in South Africa ?In South Africa, there is a way to write the floor that a person stays on and the flat number, in the address that they give to you. The format is such that the first two numbers would represent the floor number. This means that an address of 0208 would means that the floor number is the 2nd floor.
The second two numbers would then be the flat number of the person which means that an address of 0208 would have a flat number of 08.
Ramon's address of 1834 Norman Heights Hillbrow Johannesburg would then be Floor 18 and Flat 34.
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I WILL MARK BRAINLIEST RIGHT NOW HELPP
Answer:
Third choice on the screenshot:
Yes, because the determinant of the coefficient matrix is 8
Step-by-step explanation:
If the determinant of a coefficient matrix is zero, then the linear system of equations it represents has no solution.
Here the coefficient matrix is
[tex]\begin{pmatrix}2&4\\ \:-1&2\end{pmatrix}[/tex]
The determinant of a matrix
[tex]\begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}[/tex]
is [tex]\:ad-bc[/tex]
So
[tex]\det \begin{pmatrix}2&4\\ -1&2\end{pmatrix} = 2\cdot \:2-4\left(-1\right) = 8[/tex]
Since it is non-zero, the system of equations will have a unique solution
1.) How are the tangents of complementary angles related?
2.) How are the sine and cosine of complementary angles related?
3.) How are the two non-right angles in a right triangle related?
a.)They are equal.
b.)They are complementary.
c.)They are reciprocals.
(All these three questions have the same three answer choices.)
The relationship between the trigonometric ratios of the non-right angles in a triangle and the measures of the angles are;
1.) c.) They are reciprocals
2.) a.) They are equal
3. b.) They are complementary
What are non-right angles in a right triangle?The non-right angles in a right triangle are he two acute angles in the right triangle.
1) Complementary angles are angles that have a sum of 90°
Let A and B be two complementary angles, we get;
m∠A + m∠B = 90°
Let a and b represent the lengths of the opposite sides to the complementary angles ∠A and ∠B
Let side a represent the side opposite to the angle ∠A and let side b represent the side opposite to the angle ∠B, we get
tan(A) = a/b tan B = b/a
Therefore, tan(B) is the reciprocal of tan(A)
The correct option is c,) They are reciprocals
2) Let r represent the length of the hypotenuse of the right triangle, we get;
sin(A) = a/r
cos(A) = b/r
sin(B) = b/r
cos(B) = a/r
The values, sin(A) = cos(B), and sin(B) = cos(A), therefore;
The sine and cosine of complementary angles are equal, therefore, option a is correct3) The sum of angles in the right triangle is 180°, therefore;
m∠A + m∠B + 90° = 180°
m∠A + m∠B = 180° - 90° = 90°
m∠A + m∠B = 90°
The sum of the two non-right angles in a triangle is 90°, therefore, the two non-right angles re complementary.
The correct option is therefore; b.) They are complementary
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help with this please
Answer:
B
Step-by-step explanation:
The numbers are the same so they would be on the same place on the number line.
Answer:
If A = B, where on the number line will A appear?
The correct answer is B. In exactly the same location as B.
This is because when we say A = B, it means that A and B have the same value, meaning they are located in the same place on a number line.
For what length of time did Kathy and Brian drive?
A) Kathy drove 3 hours and Brian drove 9 hours
B) Kathy drove 4 hours and Brian drove 8 hours
C) Kathy drove 6 hours and Brian drove 6 hours
D) Kathy drove 8 hours and Brian drove 4 hours
3) None of the above
Answer:
None of the above
Step-by-step explanation:
Beacuse,
3*65 +9*55 = 690miles
4*65 + 8*55 = 700 miles
6*65 + 6*55 = 720 miles
8*65 + 4*55 = 740 miles
The total length is 750miles which is not suitable in this above four answers
There is 25 pounds of dog food in a bag. There are approximately 2.2 kilograms in 1 pound. PLEASE HELP ME !! THANK YOU SMM!!
Which statement is true?
A. There is approximately 55 kilograms of dog food in the bag, because 1/2.2 = 55/22.
B. There is approximately 11.36 kilograms of dog food in the bag, because 1/2.2 = 25/11.36
C. There is approximately 55 kilograms of dog food in the bag, because 1/2.2 = 25/11.36
D. There is approximately 11.36 kilograms of dog food in the bag, because 1/2.2 = 11.36/25
Answer:
C
Step-by-step explanation:
kilograms x pounds of dog food = ?
2.2 x 25 = 55
process of elimination;;;
A- correct answer, wrong setup
B- wrong answer, correct setup
C- correct answer, correct setup. makes the most sense
D- wrong answer, wrong setup
Solve 3^x − 2 = 3^7. Group of answer choices 2 5 7 9
Answer: [tex]x=9[/tex]
Step-by-step explanation:
[tex]3^{x-2}=3^7\\\\x-2=7\\\\x=9[/tex]
Select all correct ways of factoring -5x - 15.
Selections:
-5(x+3)
5(x+3)
5(-x-3)
-5(x-3)
5(x-3)
ANSWER AND I'LL GIVE BRAINLIEST!!
Correct answers:
1. -5(х+3)
1. -5(х+3)2. 5(-х-3)
Answer:
option 4th is answer ...............
-5x-15 =-5(x-3)
3. What is the value of y when line m is parallel to line n? (1 point)
C D
070
0110
O 140
0150
A
E
30°
110
F
B
m
✦n
4
150°
The correct answer is 150°
Solve the system by substitution.
y= −6x −2x−y= 16
Using substitution method to solve the system of linear equations, the value of x and y are 4 and -24 respectively.
What is system of linear equationA system of linear equations is a set of two or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system simultaneously. Linear equations are equations that can be written in the form of ax + by = c, where a, b, c, x and y are constants.
In this problem, the equations are
y = -6x ...eq(i)-2x - y = 16 ...eq(ii)Using substitution method;
Put the value y in eq(i) into eq(ii)
-2x - (-6x) = 16
-2x + 6x = 16
4x = 16
x = 4
Put x = 4 into equ(i)
y = -6(4)
y = -24
The value of x and y are 4 and -24
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A trampoline park charges $5.50 per hour for kids and a flat $3 admission for parents. Mrs. Bernard would like to take her son and spend no more than $20 at the trampoline park. How many hours will her son be able to jump?
A. 5.50x + 3 > 20
B. 3x + 5.50 < 20
C. 3x + 5.50 ≤ 20
D. 5.50x + 3 ≤ 20
Answer:
Step-by-step explanation:
It has to be option D by looking at the question.
It says, that it is $5.50 per hour for kids.
If x is the hours, then total cost spent just for the kid will be $5.50x
It also says there is a flat $3 admission. So just add that to the equation.
$5.50x + 3 ≤ 20.
20 ( given)
Thanks
Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand.
y = 9x
How much money does Luke save after buying 5 boxes? (Hint: Find the cost of 5 boxes for the original box of cereal and for the new box. Find the difference in cost)
Luke save $10 after buying 5 boxes.
What is a function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Here, we have
Given: Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size.
The function of the first cereal is
y = 11x
Now, another cereal that Luke decides to buy is $9 per box, which is expressed
y = 9x
Now, the difference between the costs is $2, because 11-9=2.
So, the original brand costs $2 more than the super-saving brand.
Now, if Luke buys 5 cereal boxes per month, the cost in each case would be
y = 11(5) = 55
y = 9(5) = 45
Luke is saving per month 55 - 45 = $10
Hence, Luke save $10 after buying 5 boxes.
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Suppose a parabola has an axis of symmetry at x = -4, a maximum height of 3 and also passes through the point (–3, 0). Write the equation of the parabola in vertex form.
The vertex form of the equation of the parabola is the quadratic equation y - 3 = - 3 · (x + 4)².
How to derive the vertex form of the equation of the parabola
Parabolae are represented by quadratic equations, there are two forms for such equations: (i) standard form, (ii) vertex form. The vertex form of the equation of the parabola is shown below (please notice that parabola is parallel to y-axis when axis of symmetry is a vertical line):
y - k = C · (x - h)²
Where:
(h, k) - Coordinates of the vertex.C - Vertex constant.If we know that h = - 4, k = 3 and (x, y) = (- 3, 0), then the equation of the parabola in vertex form is:
C = (y - k) / (x - h)²
C = (0 - 3) / [(- 3) + 4]²
C = - 3 / 1²
C = - 3
The equation of the parabola in vertex form is the quadratic equation y - 3 = - 3 · (x + 4)².
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ANYONE GOOD AT MATH PLEASE HELP!!!!!
Answer:
Step-by-step explanation:
set up the composite function and simplify: first one is -3, second is -2
I NEED HELP ASAP I only got 20 minutes to answer this question
If Bob has 2 apples and Jake takes 2 from Bob how many apples does Jake have?
Answer:
Step-by-step explanation:
jake has 2 apples
if bob gotta two apples and Jake took it away then how many apples does bob have
Step-by-step explanation:
Find the value of the pronumerals in each pair of similar triangles.
So on solving the provided question we can say that here in both triangles are similar, y = 10; x = 12
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here in both triangles are similar,
y = 10
x = 12
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Look at the picture
the photo is not loading ok this is your photo open this and see now that address now because you are so
The amount of light reflected up through the top of a
diamond (brilliancy) can be maximized using the ratio between the width of the
diamond and the depth of the diamond. A gemologist has a diamond with a width of
80 millimeters. If x represents the depth of the diamond, then 80/x
represents the
brilliancy ratio y. Describe the reasonable domain and range values. Graph the function.
The domain and range are (0 , ∞) and (0 , ∞).
What is domain ?
The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The set of all initial elements in ordered pairs constitutes the domain (x-coordinates). The set of all second items in ordered pairs is the range (y-coordinates).
Given
y = 80 / x
As per the graph the domain and range are
domain : (0 , ∞)
{depth of the diamond > 0 }
range : (0 , ∞)
{ratio > 0}
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can anyone explain how to solve this?
Answer:
E
Step-by-step explanation:
Let x be the initial value
after 1 year value = 1.1 x
after 2 yrs v = 1.1 * 1.1 x
after 3 yrs v = 1.1 * 1.1 * 1.1 x
after 4 yrs v = 1.1 * 1.1 * 1.1 * 1.1 x
or simply : value = ( 1.1)^n x where n = number of years
for n= 4 years value = (1.1)^4 x = 1.4641 x
this represents a .4641 increase or 46.41 % increase Answer E
(30 POINTS) A newly hired lawyer receives a $15,000 signing bonus from a law firm and invests the money in a savings account at 4.75% interest. After 42 months, the lawyer checks the account balance.
Part A: Calculate the interest earned, to the nearest dollar, if the interest is compounded quarterly. Show all work. (2 points)
Part B: Calculate the interest earned, to the nearest dollar, if the interest is compounded continuously. Show all work. (2 points)
Part C: Using the values from Part A and Part B, compare the interest earned for each account by finding the difference in the amount of interest earned. (1 point)
Which is equal to sin31°?
Answer: 0.515
Step-by-step explanation:
Since our angle is between 0 and 90 degrees, it is located in Quadrant I
In the first quadrant, the values for sin, cos and tan are positive.
Since 31° is less than 90, we can express this in terms of a cofunction
sin(θ) = cos(90 - θ)
sin(31) = cos(90 - 31)
sin(31) = cos(59)
hope this helps!
The value of sin 31° is 0.51504.
Sin 31 degrees is the value of the sine trigonometric function for an angle equal to 31 degrees.
The sin of 31 degrees is 0.51504, but the sin of 31 degrees can also be expressed in radians. To obtain 31 degrees in radian multiply 31° by π/ 180° = 31/180π. Sin 31degrees = sin (31/180 ×π)
The results of sin31° are rounded to five decimal places.
The following are identities of sine 31° :
sin31°
= cos (90°-31°) = cos 59°
= sin (180°-31°) = sin 149°
-sin31°
= cos (90°+31°) = cos 121°
= sin (180°+31°) = sin 211°
Therefore, The value of sin 31° is 0.51504.
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Chau used 6 rolls of blue fabric to make costumes for the annual school play. He used the total length of 14.4yd of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Answer: Each roll of fabric had 86.4 inches of fabric.
Step-by-step explanation:
Each roll of fabric used in the annual school play had a length of 14.4yd / 6 rolls = 2.4 yards of fabric.
1 yard = 36 inches
so, 2.4 yards = 2.4 x 36 inches = 86.4 inches
Each roll of fabric had 86.4 inches of fabric.
Explanation: The problem states that Chau used 6 rolls of blue fabric, and the total length of fabric used was 14.4 yards. Dividing the total length of fabric by the number of rolls gives the length of each roll, which is 2.4 yards or 86.4 inches.
How many festivals were there?
Answer:
15
Step-by-step explanation:
1+3+5+4+2
$2750 is invested at an interest rate of 3.5% APR compounded quarterly. Determine the amount after 7 years. Round your answer to the nearest hundredth.
Answer:
To determine the amount of the investment after 7 years, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment (the amount after 7 years)
P = the initial principal or investment amount ($2750)
r = the annual interest rate (3.5%)
n = the number of times the interest is compounded per year (quarterly)
t = the number of years the investment is held (7)
First, we convert the annual interest rate to a decimal: 3.5% = 0.035
Then we convert the interest rate to a quarterly rate by dividing by the number of times it is compounded per year: 0.035 / 4 = 0.00875
We can now substitute these values into the formula:
A = $2750(1 + 0.00875)^(4*7)
A = $2750(1.00875)^28
A = $2750(1.3471)
A = $3710.82
So, the amount of the investment after 7 years is $3710.82, rounded to the nearest hundredth.
Which expression is equivalent to 3 square root 27c7 • 3 square root 250c2, if c≠0
Answer:3 square root 27c7 • 3 square root 250c2 can be simplified by applying the property of square roots, (√a * √b) = √(ab) .
So, 3 square root 27c7 • 3 square root 250c2 = √(27c7 * 250c2) = √(27250c7c2) = √(675c7*c2) = √(675c9) = √(675) * √(c9) = 15c3
Therefore, 3 square root 27c7 • 3 square root 250c2 = 15c3 is the equivalent expression.
Step-by-step explanation:
Examine the expanded form.
a.a.a.a.
a.a
Which is the expression in exponential form?
O 7ª
O 7a
O q7
O a +7
Answer: looks like [tex]a^{7}[/tex]
Is that one of the answer choices?
what is the gradient of a line perpendicular to a line with a gradient of ⅚
Answer:
-6/5
Step-by-step explanation:
Perpendicular definition is that two gradients multiplying each others must equal to -1. This can be written in the form of [tex]\displaystyle{m_1m_2=-1}[/tex] where m stands for gradient or slope.
First, we know that the gradient of a line is 5/6, we'd have to find another gradient that is perpendicular to each other. Hence, substitute in the equation:
[tex]\displaystyle{\dfrac{5}{6}m_2=-1}[/tex]
Solve for [tex]m_2[/tex], multiply both sides by 6 first:
[tex]\displaystyle{\dfrac{5}{6}m_2 \times 6=-1 \times 6}\\\\\displaystyle{5m_2=-6}[/tex]
Divide both sides by 5:
[tex]\displaystyle{\dfrac{5m_2}{5}=\dfrac{-6}{5}}\\\\\displaystyle{m_2=-\dfrac{6}{5}}[/tex]
Therefore, the gradient that is perpendicular to 5/6 is -6/5
The gradient of a line perpendicular to a line with a gradient of ⅚ is -5/6.
We have,
A line perpendicular to a line with a gradient of ⅚ will have a gradient that is the negative reciprocal of ⅚.
The negative reciprocal of ⅚ can be found by taking the reciprocal of ⅚ (which is 6/5) and then negating the result.
So the gradient of the perpendicular line is:
-1/(6/5) = -5/6
Therefore,
The gradient of a line perpendicular to a line with a gradient of ⅚ is -5/6.
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Plot -7/5 and it's opposite on a number line
Answer: find zero on the number line then put a dot on -7/5 (-1 2/5) then do the same on positive 7/5 (1 2/5
Step-by-step explanation:
find zero on the number line then put a dot on -7/5 (-1 2/5) then do the same on positive 7/5 (1 2/5 . I think that is correct sorry if it isnt.
Step-by-step explanation:
A 1.5 kg pendulum swings from point A of height yA = 0.04m to point B of height yB = 0.12m. The heights are relative to the lowest height. What is the change in gravitational potential energy from A to B?
Answer:
The change in gravitational potential energy from point A to point B can be calculated using the formula:
ΔU = mgh
Where:
m = mass of the pendulum = 1.5 kg
g = acceleration due to gravity = 9.8 m/s^2
h = change in height = yB - yA = 0.12 m - 0.04 m = 0.08 m
So, the change in gravitational potential energy from A to B is:
ΔU = (1.5 kg)(9.8 m/s^2)(0.08 m) = 1.176 J
So, the change in gravitational potential energy from A to B is 1.176 Joules.
what is the angle with tangent 1.125
Answer:
You can find the value of the tangent of any angle on a unit circle. Just draw a vertical line from the x-axis at either zero or pi until it intersects what is the extension of the radius through the angle. The length of that vertical line is the value of the tangent at the angle in question.
Step-by-step explanation:
In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
Helpful Tip!:)