use the vertical line test to determine whether the graph is the graph of a function

The speed that marina can run from the given parameters is; 4 miles per hour

Let x be Marina's speed running.

Marina's speed biking is x + 9.

Thus, the time she spent is calculated as;

19.5/(x + 9) = 6/x

Cross Multiply to get;

19.5x = 6(x + 9)

19.5x = 6x + 54

Solving this gives;

x ≈ 4 mph

Thus, Marina can run at a speed of 4 miles per hour.

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4 miles per hour:A

Step-by-step explanation:

on edge

Answer:

- attached graph

- Horizontal Asymptote: y = 5

- twon whole number points are (4,4) and (5,1)

Step-by-step explanation:

- Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote

y = -4^(x-4) + 5

  = -4^(4-4) + 5

  = -4^(0) + 5

  = -1 + 5

  = 4

y = -4^(x-4) + 5

  = -4^(5-4) + 5

  = -4^(1) + 5

  = -4 + 5

  = 1

the answer is 153.86 ft squared

= the formula for the area of a circle is A=πr2

= area = pi x radius squared

= the radius is 7 feet, square that to get 49

= multiply 49 by pi to get the area: 153.86 square feet

153.86 ft squared

Answer:

153.86 ft squared

Step-by-step explanation:

As per given question we have provided that :

We need to find :

Here's the required formula :

[tex]{\dashrightarrow\sf{A = \pi {r}^{2}}}[/tex]

Substituting all the given values in the formula to find the area of circular pool :

[tex]{\dashrightarrow{\sf{Area = \pi {r}^{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{Area = 3.14{(7)}^{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{Area = 3.14{(7 \times 7)}}}}[/tex]

[tex]{\dashrightarrow{\sf{Area = 3.14{(49)}}}}[/tex]

[tex]{\dashrightarrow{\sf{Area = 3.14 \times 49}}}[/tex]

[tex]{\dashrightarrow{\sf{Area = 153.86}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Area = 153.86 \: {ft}^{2}}}}}}[/tex]

Hence, the area of circular pool is 153.86 ft².

[tex]\rule{300}{1.5}[/tex]

Answer: Scalene means "a triangle that has three unequal sides"

therefore it is D

The Dimensions of box be:

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.

a)Each side of the future box is

L = 5-2x ,D = 13-2x

and let the height of box is   x

Then,  volume of the box as function of x is:

V(x)= (5-2x)*(13-2x)*x

V(x)= (65-10x-26x +4[tex]x^{2}[/tex])*x

V(x)= 65x-36[tex]x^{2}[/tex]+4[tex]x^{3}[/tex]

Differentiate the above equation, we get

V'(x)= 65-72x+12[tex]x^{2}[/tex]

If V'(x) = 0, then

65-72x+12[tex]x^{2}[/tex]=0

[tex]x_{1,2} = (-b\pm \sqrt{ b^{2} - 4*a*c} ] /2a[/tex]

[tex]x_1[/tex]=4.89297

[tex]x_2[/tex]=1.10703

We will take x= 1.10703

Then the sides of the box are:

L = 5-2(1.10703) = 2.21406 ft

D = 13 - 2*x = 13 - 2x(1.10703)= 10.78594 ft

H = x = 1.10703 ft

Now, volume is    

V = 2.21406*10.78594*1.10703 = 24.4366 ft³

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Answer:

9 square millimeters

Applying the tangent theorem, the length of PX in the circle is: B. 13 cm.

The tangent theorem states that a right angle is formed at the point where the tangent meets with the radius of a circle on the circle's circumference.

Based on the tangent theorem, triangle PYX is a right triangle. Use Pythagorean theorem to find PX.

PX = √(12² + 5²)

PX = 13 cm.

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Answer:

24416.64

Step-by-step explanation:

4/3 x 3.14 x 18³=

3.14 x 5832=18312.48

4/3 x 18312.48= 24416.64 cubic centimeters

Answer:

1471.15

A = πrl+πr²

l = [tex]\sqrt{r^2+h^2}[/tex]

A = [tex]\pi r(r+\sqrt{h^2+r^2} ) = \pi * 13 * (13 + \sqrt{19^2+13^2} )[/tex]  ≈ 1471.15

Answer:

The Correct answer is D. 312 Cubic inches.

Hope this helps you!!

Please Mark me Brainleast!!

Answer:

The Correct answer is D. 312 Cubic inches.

Hope this helps you!!

Please Mark me Brainleast!!

Answer:

The numbers less than 50 (A) = 4

Total numbers (S) = 14

Probability students below 50 = 4÷14

Step-by-step explanation:

That is the correct answer of it.

Answer:

It's A :)

Step-by-step explanation:

30/2 is 15

15 is a whole number so it applies to everything except for irrational numbers

Hope this helps :)

Answer:

D. Distance

Step-by-step explanation:

Distance is measured to determine the winner of the shot-put competition

- AKIA

By using trigonometric relations, we will see that the distance to the fire is .173.21 ft

Here we can compare this with a right triangle. We know that one angle on the right triangle is 30°, and the adjacent cathetus to that triangle is 150ft.

Now, we want to find the hypotenuse of said triangle, which is the distance to the fire.

So we can use the trigonometric relation:

cos(a) = (adjacent cathetus)/(hypotenuse).

Replacing what we know, we get:

cos(30°) = 150ft/hypotenuse

hypotenuse = 150ft/cos(30°) = 173.21 ft

So the distance to the fire is 173.21 ft

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Answer:

Kukulcan

Step-by-step explanation:

it should be the letter c. Or kukulcan. This is because, Ferdinand Magellan is not a god of the Mayans and thats the same for b and c.

See the link in comments (or if it gets deleted, look up "partial derangement"). The number of ways in which exactly [tex]k[/tex] items from a pool of [tex]n[/tex] items can be rearranged such that only these [tex]k[/tex] items are in their original positions is

[tex]R(n,k) = \dbinom nk \, !(n-k)[/tex]

where [tex]!(n-k)[/tex] is the so-called sub-factorial that satisfies the relation

[tex]!n = \left\lfloor \dfrac{n!+1}e \right\rfloor[/tex]

and [tex]\lfloor x \rfloor[/tex] denotes the floor or greatest integer function of [tex]x[/tex], i.e. the greatest integer smaller than or equal to [tex]x[/tex].

There are 25! ways of handing back exams with no extra constraint.

There are [tex]R(25,23)[/tex] ways of handing back 23 exams to their original owners and 2 exams otherwise, and

[tex]R(25,23) = \dbinom{25}{23} \, !(25-23) = 300\left\lfloor\dfrac{2!+1}e\right\rfloor = 300[/tex]

Then the probability of returning 23 exams correctly and 2 exams swapped is

[tex]\dfrac{300}{25!} \approx \boxed{5.17\times10^{-22}}[/tex]

We will see that there are 50,000 different possible codes that start with an even number.

We know that the code has 5 digits, each one with 10 possible options (except the first one, when we only can use even digits, so there we have 5 options).

And the numbers can be repeated any number of times through the code, then the total number of different codes that can be made is equal to the product between the numbers of options for each of the digits, we will have:

[tex]C = 5*10*10*10*10 = 50,000[/tex]

So there are 50,000 different codes.

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Answer:

50,000 codes

Step-by-step explanation:

took the test

Answer:

y = 3x

Step-by-step explanation:

The general form of an equation :

Given :

Multiply each side with 3 :

Answer:

Shade in 5 parts of the 10 strip.

Step-by-step explanation:

I didn't get an image but what I think the problem looks like is this, 10 empty strips, but just fill in 5, then it looks like the second image.

Answer:

y > -2x + 2

Step-by-step explanation:

The dashed line tells us the answer doesNOT have the "or=to" under the inequality symbol. Then the y-intercept is positive 2. So it must be

y > -2x + 2

see image

Look at the y-intercept and think of up/down instead of left/right on the shading and then you can see whether its < or >

1 to 4

4 / 4 = 1

16 / 4 = 4

Answer:

12

Step-by-step explanation:

if x = 3

and y = 4

3 + 4 + 5 = 12

what grade is this

Answer:

100% increase

Step-by-step explanation:

0.1 to 0.2

0.1 = 100% (original number)

0.2 - 0.1 = 0.1

0.1 = 100%

Step-by-step explanation:

f(x) = x² + 2 XER ... Range of f(x) = (2, ∞)

x² ≥ 0

x²+2 ≥ 2

Answer:

5/13

Step-by-step explanation:

There are 20 girls, and 32+20 = 52 learners.

Ratio give us 20/52

After simplifying: 5/13