The graphs of three functions are shown below. Which statements accurately compare the different functions? Check all that apply. The quadratic and absolute value functions share a y-intercept. The square root and quadratic function share an x-intercept. The absolute value and square root functions share the same domain. The square root function does not have a y-intercept. The square root function has a minimum domain value, while the other two functions have a minimum range value.

The original sample box had a volume of 343 cubic cm, which is half the volume of the new sample box.

Since the height of the new sample box is twice as long as the original box, its height will be 2×7=14 cm.

The length and width remain the same at 7 cm.

The volume of the new sample box is given by the formula:

V = lwh

Substituting the values, we get:

V = (7)(7)(14) = 686 cubic cm

Therefore, the volume of the new sample box is 686 cubic cm.

Comparing the volumes of the two boxes, we see that the new sample box has a larger volume than the original sample box.

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Step-by-step explanation:

how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .

Answer:

Floor 48

Right and left rectangles 80

Two triangles 24

48+80+24 =152

Answer:

its the symmetric property!

Step-by-step explanation:

i got it wrong, and i know for a fact that this correct! <3

Answer:

symmetric property

Step-by-step explanation:

4x4=16

x=4

Answer:

5x+34=8x-14(exterior angle are equal)

34+14=8x-5x

48/3=x

x=16

Answer:

b

Step-by-step explanation:

Answer:1,2,3,4,5,6,7,8,9,10

i guess that means i won??

Step-by-step explanation:

Answer:

x = -15

Step-by-step explanation:

In fractional equations we cross multiply the expressions:

In cross multiplying the denominator of the first fraction is multiplied with the numerator of the second fraction and vice versa:

-2x = 30 divide both sides by -2

x = -15

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

c is the answer why cause I did it

(a) The diver hit the water after 2.5 seconds

(b) The diver hit the water with a velocity of 80 ft/s

Since the cliff diver plunges from a height of 100 ft above the water surface and the distance the diver falls in seconds is given by the function d(t) = 16t². We can say d(t) = 100ft. So we have:

d(t) = 16t² = 100

t² = 100/16

t² = √(100/16)

t = 10/4

t = 2.5 seconds

The derivative of the distance will give us the velocity. That is:

v(t) = d'(t) = 32t

Substitute t =2.5  into v(t):

v(2.5) = 32(2.5)

v(2.5) = 80 ft/s

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The function is an exponential growth function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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A geometric series is one in which there is a constant between two successive numbers in the series.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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42 = 7*6

so,

7:9 = 7*6 : 9*6 = 42:54

Answer:

The sampling error =  0.06

Step-by-step explanation:

From the given information:

Let represent \(\beta\) to  be the population proportion = 0.4

The sample proportion be P = 0.46   &

The sample size be n = 100

The population standard duration can be expressed by the relation:

Population standard duration \(\sigma = \sqrt{\dfrac{\beta(1- \beta)}{n}}\)

\(\sigma = \sqrt{\dfrac{0.4(1-0.4)}{100}}\)

\(\sigma = \sqrt{\dfrac{0.4(0.6)}{100}}\)

\(\sigma = 0.049\)

The sample proportion = 0.46

Then the sampling error  = P - \(\beta\)

The sampling error  = 0.46 - 0.4

The sampling error =  0.06

Answer:

⅛

Step-by-step explanation:

let x represent students who are both honor students and athletes

60+80+40-x=160

180-x=160

x=189-160=20

The probability=20/160=⅛

Answer:

The correct answer is 1/3

Step-by-step explanation:

Answer:

44 represents months

x*y

$77

x

x*y

Answer:

About 11 Weeks

Step-by-step explanation:

I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.

The domain of the function obtained from the graph of the function indicates that the correct option is the second option

{x | x ≤ 0}

The domain of a function is the set of the possible x-values of the function.

The graph of the function indicates that the as the x-value approaches x = 0, the function approaches ∞

Similarly, as the x-value of the function approaches -∞, the function approaches f(x) = 0, therefore;

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Answer:

23.2wx - 13.2w

Step-by-step explanation:

4w (5.8x - 3.3) =

4w * 5.8x - 4w * 3.3 = distribute 4w to 5.8x and 3.3

4 * 5.8 *w * x - 4w * 3.3 =

23.2 * w * x - 13.2w  ==> simplify

23.2wx - 13.2w

Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of

(40 mi/h) (3 h) = 120 mi

Take the 3 hour mark to be the origin, so that the first car's position after t hours is

120 mi + (40 mi/h) t

while the second car's position is

(55 mi/h) t

The second car catches up to the first when their positions are equal:

120 mi + (40 mi/h) t = (55 mi/h) t

120 mi = (15 mi/h) t

t = (120 mi) / (15 mi/h)

t = 8 h

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer: $15,000

Step-by-step explanation:

Given the following :

Percentage earned as commission = 20% of profit.

What is Graydon’s gross pay for the month.

Sales for the month = $350,000

Profit on sales for the month = $75,000

Graydon’s earning is 20% of the profit made :

Hence, Graydon's gross pay for the month :

20% of $75,000

= 0.2 × $75,000

= $15,000

Graydon’s gross pay for the month is $15,000

Answer:

37  r10                  

explanation                                              

   0 3 7

2 3   L 8 6 1

 − 0    

   8 6  

 − 6 9  

   1 7 1

 − 1 6 1

     1 0

The perimeter of triangle ABC = 60 + 20√3  cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

In triangle ADB,

sin (30°) = AD/AB

1/2 = ( 10 √3 ) /AB

AB  = 20√3

In triangle ABC,

cos (30°) = AB/BC

√3 /2 =  20√3 / BC

BC = 40

tan (30°) = AC/AB

1/√3 =  AC/ 20√3

AC = 20

Perimeter of triangle ABC =  AB +BC  + AC

                                           = 20√3  +  40  + 20

                                           = 60 + 20√3

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Answer:

We will fail to reject the null hypothesis and conclude that there is sufficient evidence not to support the researchers claim.

Step-by-step explanation:

We are given;

Population proportion; p = 68% = 0.68

Sample proportion; p^ = 93/144 = 0.6548

n = 144

The hypotheses are:

Null hypothesis;H0: p = 0.68

Alternative hypothesis;Ha: p ≠ 0.68

np = 144 × 0.6548 > 5 and nq = n(1 - p) = 144(1 - 0.68) > 5.

Since np and nq are more than 5, we can use the z-test .

z-formula in this case is;

z = (p^ - p)/√(p(1 - p))

Plugging in the relevant values, we have;

z = (0.6548 - 0.68)/√(0.68(1 - 0.6548))

z = -0.0252/0.4845

z = -0.052

From the z-table attached, we have a p-value of approximately 0.4801

P-value is higher than the significance level of 0.01.

Thus,we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the researchers claim.

x = 3

\(3^{3} =\) 3 x 3 x 3 = 27

9x = 9 x 3 = 27

Answer:

vertex point is (4,-6)

and it opens upwards as the coefficient of x is positive.

I assume B is the correct answer, good luck!