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As x approaches infinity,

The function with the lowest output is graph A

The function with the greatest output is graph B

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Explanation:

As the graphs head to the right, they go up forever. However, the growth rate (how fast they go upward) varies. The red straight line (line A) goes up the slowest. The growth rate is the same throughout the entire function. The rate is the slope of the line. In contrast, the purple curve B goes up the fastest as it has the steepest increase among the four graphs. The graph steadily gets steeper as you move to the right.

The exponential graph will grow the fastest compared to a linear one or parabolic one. Graphs B and C are exponential, where graph B has a steeper curve compared to graph C.

Answer: The function with the lowest output values as x approaches infinity is Graph A.

The function with the greatest output values as x approaches infinity is Graph B.

Step-by-step explanation: I can’t give you a step-by-step explanation, but this is right!

Step-by-step explanation:

v= 4/3πr³

4/3×314/100×8×8×8

•

= 2,143.573

Answer:

  -0.0062 and 27.5

Step-by-step explanation:

You can write the equation of the line using the 2-point form:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

The given values of the variables are ...

  (h, T) = (10000, -34.5) and (15000, -65.5)

Putting these into the formula, we have ...

  T = (-65.5 -(-34.5))/(15000 -10000)(h -10000) +(-34.5)

  T = -31/5000(h -10000) -34.5

  T = -0.0062h +62 -34.5

  T = -0.0062h +27.5

The appropriate choice is ...

  -0.0062 and 27.5

Answer:

[tex]\frac{\sqrt{3} }{4} a^2[/tex]

Step-by-step explanation:

To find the area of an equilateral triangle, we can apply a formula.

[tex]A=\frac{\sqrt{3} }{4} s^2[/tex]

[tex]A= area\\s=side \: length[/tex]

The side length is given a.

Plug a in the formula as the side length.

[tex]A=\frac{\sqrt{3} }{4} a^2[/tex]

Answer:

3 square root over 4 a square

Step-by-step explanation:

Answer:

10,000 panels

Step-by-step explanation:

A TV panel is being produced by two factory plants

Plant A produced 5000 fewer panels than plant B

Let a represent the number of panels produced by plant A and b represent the number of panels produced by plant B

a= b-5000............equation 1

5% of the panels from plant A were defective

= 5/100

= 0.05

2% of the panels from plant B were defective

= 2/100

= 0.02

The total defective panels of both plants is 450

0.05a + 0.02b= 450..............equation 2

Substitute b-5000 for a in equation 2

0.05(b-5000) + 0.02b= 450

0.05b - 250 + 0.02b= 450

Collect the like terms

0.05b+0.02b= 450+250

0.07b= 700

Divide both side by the coefficient of b which is 0.07

0.07 b/0.07= 700/0.07

b= 10,000

Hence plant B produced 10,000 panels

Answer:

The total surface area of cone is 70π cm² or 219.9 cm².

Step-by-step explanation:

Given that the formula of total surface area of cone is T.S.A = πr² + πrl where r represents radius and l is slant height. So you have to substitute the values :

[tex]t.s.a = \pi {r}^{2} + \pi{r}l[/tex]

[tex]let \: r = 5 \: , \: l = 9[/tex]

[tex]t.s.a = \pi {(5)}^{2} + \pi(5)(9)[/tex]

[tex]t.s.a = 25\pi + 45\pi[/tex]

[tex]t.s. a = 70\pi \: or \: 219.9 \: [/tex]

Answer:

V=11*7*9=693

Step-by-step explanation:

V=Bh ( B is the base area ( base*height) , and h is the height of the prism)

find B=base*h

B=11*7=77 in²

V=B*h=77*9=693 in³

The volume of the triangular prism is 174.25 in³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the triangular base has a base of 11 inches and height of 7 inches.

The formula for finding the volume of a triangular prism is V = (base area x height) / 2.

In this case, the base area of the triangle can be calculated using the formula A = (1/2)bh, where b is the base length and h is the height.

In this case, b = 11 inches and h = 7 inches, so the base area is A = (1/2)(11)(7) = 38.5 inches squared.

Now that we have the base area, we can calculate the volume of the triangular prism: V = (38.5 inches² x 9 inches) / 2 = 174.25 in³.

Therefore, the volume of the triangular prism is 174.25 in³.

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Answer:

33m 40cm.

Step-by-step explanation:

One side of the shed measures 8 meters and 35 centimetres, which is 800 + 35 = 835 centimetres.

Since the shed is a square, all side lengths are 835 centimetres long. So, the perimeter is 835 * 4 = 3,340 centimetres. That means that the perimeter is 33 meters and 40 centimetres.

Hope this helps!

Answer:

B. Multiply both sides of the top equation by 3

Step-by-step explanation:

Given:

4x+2y = 4

12x+y = 22

For the equations to have equal x-coefficients, you'll multiply both sides of (1) by 3

4x+2y = 4 (1)

12x+y = 22 (2)

B. Multiply both sides of the top equation by 3

3(4x+2y=4)

We have,

12x+6y=12 (3)

12x+y=22 (2)

Subtract (2) from (3)

5y=12-22

5y=-10

y= -10/5

y=-2

Substitute y=-2 into (1)

4x+2y = 4

4x+2(-2)=4

4x-4=4

4x=4+4

4x=8

x=8/4

x=2

Therefore, y= -2 and x=2

Answer:

its B

Step-by-step explanation:

A pex:)

Answer:

x=1.75

Step-by-step explanation:

3*2-4x+1=0 subtract 1 from both sides

3*2-4x=-1 multiply 3 and 2

6-4x=-1 Subtract 6 from both sides

-4x=-7 divide both sides by -4

x=1.75

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Answer:

2 28ounce cans and 4 15ounce cans

Step-by-step explanation:

28+28=56 and 15+15+15+15=60

56+60=116

Answer:

your answer is the second option

Step-by-step explanation:

Answer:

Hey there!

We must use what we are given, so even though it looks like there might be four isosceles triangles, we are only given CA=CE, so that only allows us to conclude mathematically that there is only 1 isosceles triangle.

Hope this helps :)

Answer:

Step-by-step explanation:

6s³ + 9s + 10 + 3s³ + 4s - 10

Collect like terms

6s³ + 3s³ + 9s + 4s + 10 - 10

Since, two opposites add up to zero, remove them from the expression

6s³ + 3s³ + 9s + 4s

add the like terms

9s³ + 13s

hope this helps..

best regards!!

Answer:

9s^3+13s

Step-by-step explanation:

Add each term:

9s^3+13s

I hope this helps...

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Step-by-step explanation:

this is substitution method

Answer:

2x + y = 21

+

x - y = 6

_________

3x = 27

x = 27 ÷ 3

x= 9

x - y = 6

9 - y = 6

9 - 6 = y

3 = y

Therefore, x= 9 and y = 3

Answer:

Step-by-step explanation:

Total cookies = 12

Ate = 3 cookies

Now,

Percentage of the cookies that James are:

[tex] \frac{3}{12} \times 100 \: percent[/tex]

Calculate:

[tex] = 25 \: percent[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

answer is 25

Step-by-step explanation:

The answer is- D. 324 pi units squared

The volume of the cone is 324π cubic units, option C is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cone whose height is 12 units, radius is 9 units

Volume = πr²h/3

Now let us plug in values of r and h which are radius and height respectively

Volume of cone = π × 9² ×12 /3

= π × 81×4

=324π cubic units

Hence, the volume of the cone is 324π cubic units, option C is correct.

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Explanation:

This is a visual example of the pythagorean theorem. We add the areas of the two squares to get

13+29.25 = 42.25

Then we apply the square root to this to get the value of x, which is the hypotenuse of the right triangle

x = sqrt(42.25) = 6.5

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Side note: if you're curious about finding the other lengths of the triangle, apply the square root to those areas. The blue area 29.25 will lead to a side length of approximately sqrt(29.25) = 5.4083269; the red square will follow the same idea.

Answer:

Step-by-step explanation:

area of a square=a²

A=29.25

a=side=√29.25 first square

second square =a=√13

find x(c)

right triangle: a²+b²=c²

(√29.25 )²+(√13)²=c²

29.25+13=c²

c=√(29.25+13)=6.5 unit

Answer:

The new points after dilation are

(3/2, -3) and (9/2,-3)

Step-by-step explanation:

Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.

What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.

Let’s call the positions on the line segment A and B.

Thus we have;

A = (1,-2) and B = (3,-2)

So by dilation, we multiply each of the specific data points by the scale factor and so we have;

A’ = (3/2, -3) and B’= (9/2,-3)

Answer:

  105.07°

Step-by-step explanation:

The angle of v1 is ...

  arctan(5/2) ≈ 68.199°

The angle of v2 is ...

  arctan(-3/4) ≈ -38.870°

The angle difference between the two vectors is ...

  68.199° -(-38.870°) = 105.07°

Answer:

The answer is option B

Step-by-step explanation:

Area of a triangle is

[tex] \frac{1}{2} \times b \times h[/tex]

Where b is the base

h is the height

The base of the triangle is 5 times the height is written as

b = 5h

Area of the triangle is 1440cm²

[tex]1440 = \frac{1}{2} \times 5h \times h[/tex]

[tex]1440 = \frac{1}{2} 5 {h}^{2} [/tex]

[tex]2880 = 5 {h}^{2} [/tex]

Divide both sides by 5

[tex] {h}^{2} = 576[/tex]

Find the square root of both sides

[tex]h = \sqrt{576} [/tex]

Hope this helps you

Answer:

45.29 miles per hour

Step-by-step explanation:

Speed is the distance over time.  To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.

Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)

Avg. Speed = 45.29 miles per hour

Hence the average rate of speed for the trip was 45.29 miles per hour.

Cheers.

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Edit:  Thanks to Chegsnut36 for calculation correction

Answer:

≅45.29

Step-by-step explanation:

Hey there!

To find the average rate speed we need to add all the same number.

188 + 197 = 385

4 + 4.5 = 8.5

Now to find the average rate we do,

385 ÷ 8.5 ≅ 45.29

Hope this helps :)

Answer: (–9, 9)

Step-by-step explanation:

if the original point (x,y) gets dilated by a scale factor 'k' with a center of dilation at the origin, then

The coordinates of the image point are (kx, ky).

Given: The coordinates of  line segment A B are A(-6,8) and B(-3,3).

then , the coordinates of B after dilation by scale factor of 3 with a center of dilation at the origin,

[tex](-3,3)\to(3(-3),3(3))\\\\\Rightarrow\ (-3,3)\to(-9,9)[/tex]

Hence, the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin = (–9, 9).

Answer:option A.

Step-by-step explanation: because the point B is dialated and that’s where you will find you answer and edge cumulitive exam 2020.

Answer:

<BAC ≅ BCA by rule Base angle theorem

Step-by-step explanation:

What we know:

BAC = DAC

BC = BA

ΔBCA is an isosceles so ∠BCA  =  ∠DCA and ∠BAC

and we found that out by base angle theorem since

Base angle Theorem  = Two base angles of a icosceles triangle are equal.

And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD

The proof that BC ∥ AD from the given statements is that;

BC ∥ AD because of the definition of alternate angles

We are given;

AB = BC  

 AC is ∠ bisector of ∠BAD

Since AC is the angle bisector of ∠BAD, it means that;

∠BAC  = ∠DAC (definition of a bisected angle)

Now, since AB = BC, it means that ΔBCA is an isosceles triangle.

Thus; ∠BCA = ∠BAC  (base angle theorem)

Now, since ∠BCA = ∠BAC, and ∠BAC  = ∠DAC, we can say that;

∠BCA = ∠DAC

This means  ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.

Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.

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Answer:

50

Step-by-step explanation:

The value of P(A|B) = 0.50 which is correct option(B)

What is independent events?

Independent events is defined as an event that is not affected by other events.

A and B are independent events.

P(A) = 0.50

P(B) = 0.20

P(A|B) = P(A∩B)/P(B)

P(A|B) = P(A).P(B)/P(B)

P(A|B) = P(A)

Substitute the value of P(A) = 0.50,

P(A|B) = 0.50

Hence, the value of P(A|B) = 0.50

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Answer:

The angle created between the ladder and tree is [tex]15.5^{0}[/tex].

Step-by-step explanation:

The required sketch is shown in the attachment to this answer.

Applying the appropriate trigonometric function to the question, we have;

Tan θ = [tex]\frac{Opposite side}{Adjacent side}[/tex]

         = [tex]\frac{5}{18}[/tex]

         = 0.2777777777

⇒ θ = [tex]Tan^{-1}[/tex] 0.2777777777

      = 15.5241

      = [tex]15.5^{0}[/tex]

Therefore, the angle created between the ladder and tree is [tex]15.5^{0}[/tex].

Answer:

Part 2:

The shape of a banana cut in 45° angle is that of a curve that is closed with the appearance of a flattened circle or an oval similar to an ellipse therefore having two focal points

The drawing of the angle cross section of a cylinder representing the banana is attached

Part 3:

When the banana is cut in half, perpendicular to the base of the banana, the shape formed is circular withe the center of the banana being about the same location as the center of the circle

The drawing of the perpendicular cross section of a cylinder representing the banana is

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

When looking at the graph look at the y axis and look to see where the line passes through

Answer:

-4 is the y intercept.

Step-by-step explanation:

Brainliest? Have a great day!

Answer:

The perimeter of the figure is: 8x + 34.

Step-by-step explanation:

The perimeter of a shape is the sum of the length of all its sides. In this case there is one side missing, we need to find its length. To do that we will have to use Pythagora's theorem, because we will create a right triangle as shown in the attached picture. Where a, b and c are the sides of the right triangle. We can determine the lengths of a and c. If we pay close attention to the figure we will realize that a is:

[tex]a = 2x + 5 - 2x = 5[/tex]

While c is:

[tex]c = 2(x + 7) - (x + 5) - (x - 3)\\c = 2x + 14 -x - 5 -x + 3\\c = 2x - 2x + 12\\c = 12[/tex]

We can now apply Pythagora's theorem:

[tex]b^2 = a^2 + c^2\\b^2 = 5^2 + 12^2\\b^2 = 25 + 144\\b = 13[/tex]

With this we can sum all the sides and calculate the perimeter of the shape.

[tex]2x + 5 + x - 3 + 2x + x + 5 + 13 + 2(x + 7)\\2x + x + 2x + x + 2x + 5 - 3 + 5 + 13 + 14\\8x + 34[/tex]

Answer:

Her annual salary is approximately $41,667

Step-by-step explanation:

Hello,

This question deals with percentage of a number and it's very easy :)

First of all, get the data and understand what's required of us.

Pam spends $7500 yearly on expenses

But this amount represents 18% of her annual income.

Let her annual income be represented by x

18% = 7500 / x

18÷100 = 7500÷x

cross multiply and solve for x

18 × x = 7500 × 100

18x = 750,000

divide both sides by 18

18x / 18 = 750,000 / 18

x = $41,666.67

x = $41,667

Her annual salary is approximately $41,667

Answer:

Time taken (t) = 2.67 s (Approx)

Step-by-step explanation:

Find:

Time taken (t)

Given:

Initial velocity (u) = 0 m/s

Acceleration due to gravity(a) = -9.8 m/s²

Distance (d) = -35 m

Computation:

Using 2nd equation of motion,

d = ut + (1/2)at²

-35 = (0)t + (1/2)(-9.8)t²

-35 = -4.9 (t²)

t² = 7.1428

t = 2.6726

Time taken (t) = 2.67 s (Approx)