The table shows the relationship between the average number of hours students studied for a mathematics test and their
average grade.
Hours
Studied
Average
Grade
0
62
1
78
2
85
5
74
Which type of function is most likely to model these data?
A
linear function with positive rate of change
O
B
linear function with negative rate of change.
non-linear function that decreases then increases
D
non-linear function that increases then decreases

Answer:

The answers is 5x + 13

It Equal to 5x + 13

Answer:

the answer is 58 dear because there he couldn't figure out what he meant

Answer:

Step-by-step explanation:

The x and y points are multiplied by 1.5

See the graph

Notice that if you start with (4,6) and dilate by a scale of 1.5 then the final point is (6,9)

The slope of these two points (if they were on a line should be 1.5

x2 = 6

x1 = 4

y2 = 9

y1 = 6

m = (9 - 6)/(6 - 4)

m = 3 / 2

m = 1.5 which is what it should be.

The x-coordinate of every point of the figure is multiplied by 1.5.

The scale factor is 1.5, and the center of dilation is the origin (0, 0).

When the figure is dilated by a scale factor of 1.5 with the origin as the center, it means that each point's x-coordinate and y-coordinate are separately multiplied by 1.5.

The y-coordinate of every point of the figure is multiplied by 1.5 is not correct the reason is that in this specific dilation scenario, only the x-coordinate is multiplied by 1.5, while the y-coordinate remains the same. The origin as the center of dilation means that the points move away from or towards the origin, maintaining the same vertical distance.

Therefore, the correct description is "The x-coordinate of every point of the figure is multiplied by 1.5."

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Answer:

153.94

Step-by-step explanation:

Answer:

It want touch/Connect Either way the closest it can get was 99

8, 15, 22, 29, 36, 43, 50, 57, 64, 71, 78, 85, 92, 99.

Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.

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Answer:

SOMEONE ANSWER THIS PLSSSSSSSSS :D

Step-by-step explanation:

Answer:

104

This is because angle at the center is twice the angle at the circumference

Step-by-step explanation:

104 is the size of obtuse angle DOF because the angle at the center is twice the angle at the circumference.

An obtuse angle is any angle greater than 90 °: Straight angle is a measurement angle equal to 180 °: Zero angles is a measurement angle equal to 0 °: Complementary angle is the angle at which the sum of the measurements is 90 °: Complementary angles are the following angles: The total dimensions are 180 °.

Now we know that angles below 180 degrees and above 90 degrees are obtuse. Examples of bluntness include 110 °, 135 °, 150 °, 179 °, 91 °. Therefore, all angles in the range of 90 ° to 180 ° are obtuse.

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Answer:

28

Step-by-step explanation:

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

s^2 = 34^2+16^2-2(34)(16)\cos 56

s

2

=34

2

+16

2

−2(34)(16)cos56

Plug in values.

s^2 = 1156+256-2(34)(16)(0.559193)

s

2

=1156+256−2(34)(16)(0.559193)

Square and find cosine.

s^2 = 1156+256-608.40188

s

2

=1156+256−608.40188

Multiply.

s^2 = 803.59812

s

2

=803.59812

Add.

s=\sqrt{803.59812} \approx28.348 \approx28

s=

803.59812

​

≈28.348≈28

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

The vertex is -5/2 and -9/2

Step-by-step explanation:

I looked it up on math

way

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.

The general form of a parabola is written in the form ax²+bx+c, which is a quadratic equation. While the vertex form of the parabola is written as y=a(x-h)² + k.

Given that the equation of the parabola is y = 2x² + 10x + 8. Now if we compare the general equation of the parabola with ax²+bx+c, the value of a, b, and c will be 2, 10, and 8, respectively.

Further, the vertex of the parabola can be written as,

h =−b/2a

h = -10 / 2(2)

h = -10/4

h = -2.5

k = -(b² - 4ac) / 4a

k = -[10² - 4(2)(8)] / 4(2)

k = (100 - 64) / 8

k = -36/8

k = -4.5

Hence, the vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).

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Answer: 19 + 11x - 7 - 2x + 13

Step-by-step explanation:

19 + 11x - 7 - 2x + 13

Bring like terms together

11x - 2x + 19 - 7 + 13

9x + 12 + 13

9x + 25

Answer:

Very simple 6th graders

Step-by-step explanation:

7 X 5 = 35 DIVIDE3D BY 2 = 17.5 THAT IS THE TRIANGLE BUT I CAN NOT SEE THE OTHER.

but i will still help

the number on the top needs to be multiplyed by the number on the side and then add it to the 17.5 and that is your answer

Answer:

32 dollars is the cost of the total game

Step-by-step explanation:

24 divided by 3 is 8

8 times 4 is 32

Answer:

V=37.68

Step-by-step explanation:

The formula for the volume of a cone is V=1/3πr^2h.  First, plug the values in to the varibles to get V=1/3π3^2(4), since 3 is the radius and 4 is the height.  Now simplify the equation.  

V=1/3π3^2(4)

V=1/3π9(4)

V=1/3π36

Multiply 36 by pi, which the equation wants you to use as 3.14.  

V=1/3(113.04)

Now simplify to get V=37.68.

I hope this helps!  Have a great day/night!  

Answer:

The last three answers.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2x+4)° + 42° = 180°

x = 67°

Answer:

360%

if not u question isnt correct

hope this might help you

Answer: Multiply the base by the height

for example A=B x H

Step-by-step explanation:

Answer:

Supplementary

Step-by-step explanation:

These angles are on the same line, they add up to 180

litros de agua porque nolose pero quiero los pùntos

Answer:

Step-by-step explanation:

Alright so the step that comes first is adding two to both sides.

Let me show you,

Step 1

-b-2<8  Add 2 to both sides

-b<10

Then you divide the sides by -1

-b<10

b>-10

Answer:

write 2 mixed whats

Step-by-step explanation:

Answer:

8x-17+63+3x+2=180(sum of triangle )

Step-by-step explanation:

11x-48=180

11x=180+48

11x=228

X=228÷11

X=20.72

Answer:

x=12

Step-by-step explanation:

The angles of a triangle add up to 180

63+8x-17+3x+2=180

46+2+8x+3x=180

48+11x=180

11x=132

x=12

Answer: 75 dollars

Step-by-step explanation:

220 times 2.5 is 550 which means you make 550 dollars. However, it cost 4575 dollars to make the candy bars because 220 times 1.25 is 275 and 275+200 is 475. You have to subtract 475 from 550 to get your answer which is 75 dollars.

Answer:

$75

Step-by-step explanation:

multiply total bars by cost 275+ 200=475

multiply total bars by sale price =550

Answer:

37.5

Step-by-step explanation:

The line which marks the height 25\sqrt325  

3

​  

25, square root of, 3, end square root of the large triangle is vertical, and the base of the triangle is horizontal, so their intersection is a right angle. The angles in the large triangle add up to \piπpi, so the remaining angle is:

\qquad \begin{aligned} \pi - \dfrac\pi2 - \dfrac\pi6 =& \dfrac\pi3 \end{aligned}  

π−  

2

π

​  

−  

6

π

​  

=

​  

3

π

​  

​  

The original triangle L U R is shown, but now the length of segment U D is shown to be '25 times the square root of 3', and angle U L R is shown to have a measure of ' pi divided by 3' radians.

The original triangle L U R is shown, but now the length of segment U D is shown to be '25 times the square root of 3', and angle U L R is shown to have a measure of ' pi divided by 3' radians.

Hint #2

Looking at the left triangle ULDULDU, L, D, the hypotenuse length LULUL, U is:

\qquad \begin{aligned} \dfrac{25\sqrt3}{\sin\!\left({\Large\frac\pi3}\right)} \end{aligned}  

sin(  

3

π

​  

)

25  

3

​  

​  

​  

Looking at the big triangle LURLURL, U, R, we see that the base length LRLRL, R is:

\qquad \begin{aligned} &\left(LU\right)\dfrac{1}{\sin\!\left({\Large\frac\pi6}\right)} \\ \\ =&\left(\dfrac{25\sqrt3}{\sin\!\left({\Large\frac\pi3}\right)}\right)\dfrac{1}{\sin\!\left({\Large\frac\pi6}\right)} \\ \\ =&\left(\dfrac{25\sqrt3}{ \quad\large\frac{\sqrt{3}}{2}\quad }\right)\dfrac{1}{ \quad\large\frac{1}{2}\quad } \\ \\ =&\left(\dfrac{25}{ \quad\large\frac{1}{2}\quad }\right)\dfrac{1}{ \quad\large\frac{1}{2}\quad } \\ \\ =&100 \\ \end{aligned}  

=

=

=

=

​  

(LU)  

sin(  

6

π

​  

)

1

​  

⎝

⎜

⎛

​  

sin(  

3

π

​  

)

25  

3

​  

​  

⎠

⎟

⎞

​  

sin(  

6

π

​  

)

1

​  

⎝

⎜

⎛

​  

2

3

​  

​  

25  

3

​  

​  

⎠

⎟

⎞

​  

2

1

​  

1

​  

(  

2

1

​  

25

​  

)  

2

1

​  

1

​  

100

​  

Hint #3

The large triangle has uniform thickness, so the inner triangle's sides are parallel to the outer triangle's sides. Therefore, the inner triangle's angles are congruent to the outer triangle's angles. The two triangles are similar.

Hint #4

Similar triangles have proportional lengths, so we can set up the equation:

\qquad \begin{aligned} \dfrac{h}{w} =& \dfrac{H}{W} \\ \\ \dfrac{h}{50\sqrt{3}} \approx& \dfrac{25\sqrt3}{100} \end{aligned}  

w

h

​  

=

50  

3

​  

h

​  

≈

​  

W

H

​  

100

25  

3

​  

​  

​  

Hint #5

\qquad\qquad\, \begin{aligned} \dfrac{h}{50\sqrt{3}} \approx& \dfrac{\sqrt3}{4} \\ \\ {h} \approx& \dfrac{{50\sqrt{3}}\sqrt3}{4} \\ \\ {h} \approx& \dfrac{25\cdot3}{2} \\ \\ h \approx& 37.5 \\ \\ \end{aligned}  

50  

3

​  

h

​  

≈

h≈

h≈

h≈

​  

4

3

​  

​  

4

50  

3

​  

3

​  

​  

2

25⋅3

​  

37.5

​  

Hint #6

To the nearest tenth, the height of the inner triangle is:

\qquad\qquad\, \begin{aligned} h \approx& 37.5 \end{aligned}  

h≈

​  

37.5

​  

*note: The answers 37.337.337, point, 3 and 37.437.437, point, 4 may have been obtained by other methods of solving for hhh since this is an approximation. Those answers are also accepted as correct.

Two triangles are similar if the sides of both triangles can be represented as equivalent ratios. The height of the shaded triangle is 37.5 units.

Given that:

[tex]\overline{UD} = 25\sqrt 3[/tex]

[tex]w = 50\sqrt3[/tex]

See attachment

First, we calculate side length [tex]\overline{LD}[/tex].

This calculated using tangent trigonometry ratio

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(90-\frac{\pi}{3}) = \frac{\overline{UD}}{\overline{LD}}[/tex]

[tex]\tan(90-30) = \frac{\overline{UD}}{\overline{LD}}[/tex]

[tex]\tan(60) = \frac{\overline{UD}}{\overline{LD}}[/tex]

This gives:

[tex]\tan(60^o) = \frac{25\sqrt3}{\overline{LD}}[/tex]

Make LD the subject

[tex]\overline{LD}= \frac{25\sqrt3}{\tan(60^o)}[/tex]

[tex]\overline{LD}= \frac{25\sqrt3}{\sqrt 3}[/tex]

[tex]\overline{LD}= 25[/tex]

Next, we calculate side length [tex]\overline{DR}[/tex].

This calculated using tangent trigonometry ratio

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(\frac{\pi}{6}) = \frac{\overline{UD}}{\overline{DR}}[/tex]

This gives:

[tex]\tan(30^o) = \frac{25\sqrt3}{\overline{DR}}[/tex]

Make DR the subject

[tex]\overline{DR}= \frac{25\sqrt3}{\tan(30^o)}[/tex]

[tex]\overline{DR}= \frac{25\sqrt3}{1/\sqrt 3}[/tex]

[tex]\overline{DR}= 25\sqrt3 \times \sqrt 3[/tex]

[tex]\overline{DR}= 25 \times 3[/tex]

[tex]\overline{DR}= 75[/tex]

Calculate side length [tex]\overline{LR}[/tex]

[tex]\overline{LR} = \overline{LD}+\overline{DR}[/tex]

[tex]\overline{LR} = 25+75[/tex]

[tex]\overline{LR} = 100[/tex]

Because the triangle has a uniform thickness, the small and the big triangle are similar triangles.

So, the height (h) is calculated using the following equivalent ratios

[tex]h:w =\overline{UD}:\overline{LR}[/tex]

Express as a fraction

[tex]\frac hw =\frac{\overline{UD}}{\overline{LR}}[/tex]

Make h the subject

[tex]h =\frac{\overline{UD}}{\overline{LR}} \times w[/tex]

Substitute known values

[tex]h =\frac{25\sqrt3}{100} \times 50\sqrt 3[/tex]

[tex]h =\frac{3750}{100}[/tex]

[tex]h =37.50[/tex]

Hence, the height of the shaded triangle is 37.5 units.

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