The volume, of a rectangular solid with length L, width W, and height H is given by the formula V = LWH.
Use this formula to write a polynomial in standard form that models, or represents, the volume of the open box.
The volume of the open box is ____

Answer:

Step-by-step explanation:

It is a vertical parabola. The equation of a vertical parabola can be written in the form y = a(x-h)² + k, where a>0 and (h,k) is the vertex.

You can eliminate G and I because the leading coefficient is negative.

The graph isn't marked with units, but both F and H say that the vertex is at (0,-2), so you know that each square on the graph is one unit.

Now look for another clue.

The x-intercepts are at (-1,0) and (1,0). Plug one of the points into F and H.

F: 0 = 2·1² - 2

H: 0 ≠ 1² - 2

So, F represents the graph.

Answer:

Dilation transformation

Step-by-step explanation:

Dilation transformation maps the large triangle onto the small triangle.

Answer:

A. 72

Step-by-step explanation:

If she is making 12 cobblers and needs 6 peaches per one.

She needs 72 (6 times 12= 72) or ( 6c = 72)

Answer:

A

Step-by-step explanation:

All you do in this one is multiply 6 by c, which is 12 in this case.

6c = ?       c = 12      6*12 = 72

The answer is 72 peaches. A.

Answer:

4 more strips

Step-by-step explanation:

Given that:

Length per strip = 1/6

Fraction of paper left = 2/3

Number of strips that can be cut from the Fraction left ;

Fraction left ÷ length per strip

2/3 ÷ 1/6

2/3 * 6/ 1

(2 * 6) / (3 * 1)

12 / 3

= 4

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10      and   q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then   p = 12 / 30  = 0,4         q =  1 - 0,4    q  =  0,6

And  p*n  =  0,4 * 30  = 12            12 > 10

And  q*n  = 0,6 * 30   = 18            18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.

No, the sample size is not less than 10% of the population size,

Given:

The total number of council member are 200.

The randomly selected members are 30 .

Calculate the ratio of randomly selected members and total number of council member.

[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]

Thus, No, the sample size is not less than 10% of the population size.

Learn more about z-interval here:

https://brainly.com/question/7204089

12³...........is correct one.....☑️✔️☑️

Answer:

I'm learning this too the answer is 12x+10y10

slope-intercept form: y = mx + b

we know what format we need to change the equation to.

subtract 12x to each side to get 10y alone.

12x - 12x + 10y = 100 - 12x

10y = -12x + 100

divide 10 to both sides to get y alone.

10/10y = -12/10x + 100/10

y = -6/5x + 10

y = -6/5x + 10 is your answer. i hope this helpes! let me know if i got something wrong that i need to fix.

Answer:

The unit rate of change is of [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given a set of points (x,y).

To find the unit rate of change, we take two points, and divide the change in y by the change in x.

Points (4,9) and (8,12)

Change in y: 12 - 9 = 3

Change in x: 8 - 4 = 4

Unit rate of change: [tex]\frac{3}{4}[/tex]

Answer:

Step-by-step explanation:

How do you know if side lengths form a Pythagorean triple?

Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.

Answer:

numbers thank you whole numbers

Step-by-step explanation:

Answer:

do the a dozen for $13.50

Step-by-step explanation:

It will help save money

Answer:

The dozen for $13.50 is a way better deal

Answer:

False

Step-by-step explanation:

A right triangle has all side lengths the same

Answer: give me brainliest now

Step-by-step explanation:

Answer:

1 + y + ( - 5 ) =  y - 4         eso es mi respuesta

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if their is no explaining the best choice would be yes

Answer:

no

Step-by-step explanation:

trust me not fair

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

Answer:

Step-by-step explanation:

I think the answer is none of the above

Answer:

a) k = 8

b) p = 12

Step-by-step explanation:

Step(i):-

Given that p varies inversely as Q

                           p∝ Q

                           p = k Q

Given that p = 4 and Q = 0.5

                        4 = k (0.5)

                       k = [tex]\frac{4}{0.5} = 8[/tex]

Step(ii):-

 Given that Q = 1.5

                  p = k Q

                 p = 8 (1.5)

                p = 12

Answer:

A. Giannas fish tank replaced the most water per hour.

C. Christies fish tank replaced the least water per hour.

Step-by-step explanation:

Let define the replacement rate ([tex]r[/tex]), measured in gallons per hour, by the ratio of capacity ([tex]c[/tex]), measured in gallons, to replacing time ([tex]t[/tex]), measured in hours. That is:

[tex]r = \frac{c}{t}[/tex] (1)

The co-worker with the highest rate replaces the most water in a hour. Let see the rate of each co-worker:

Maggie ([tex]c = \frac{1}{2}\,gal[/tex], [tex]t = \frac{2}{3}\,h[/tex])

[tex]r = \frac{\frac{1}{2}\,gal }{\frac{2}{3}\,h }[/tex]

[tex]r = \frac{3}{4}\,\frac{gal}{h}[/tex]

[tex]r = 0.75\,\frac{gal}{h}[/tex]

Christine ([tex]c = \frac{3}{4}\,gal[/tex], [tex]t = \frac{6}{5}\,h[/tex])

[tex]r = \frac{\frac{3}{4}\,gal }{\frac{6}{5}\,h }[/tex]

[tex]r = \frac{15}{24}\,\frac{gal}{h}[/tex]

[tex]r = \frac{5}{8}\,\frac{gal}{h}[/tex]

[tex]r = 0.625\,\frac{gal}{h}[/tex]

Gianna ([tex]c = \frac{2}{3}\,gal[/tex], [tex]t = \frac{4}{5}\,h[/tex])

[tex]r = \frac{\frac{2}{3}\,gal }{\frac{4}{5}\,h }[/tex]

[tex]r = \frac{10}{12}\,\frac{gal}{h}[/tex]

[tex]r = \frac{5}{6}\,\frac{gal}{h}[/tex]

[tex]r = 0.833\,\frac{gal}{h}[/tex]

From these informations, we conclude that Gianna's fish tank replaced the most water per hour and Christine replaced the least water per hour. All three fish tanks replace less than one gallon of water per hour. Therefore, correct answers are A and C.

Answer:

-24

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-2 y

Step-by-step explanation:

Answer:

true    

To calculate surface area, we add the areas of all the faces of the three-dimensional figure.                                

Answer:

37.5 is the answer

Step-by-step explanation:

all you do is just multiply the 2 numbers

Explanation: m is the slope and b is the y intercept.

Answer: Therefore, for the equation y = x+5 the slope is 1, and the y intercept is 5.

Answer:

b. 4 (7 + 6)

Step-by-step explanation:

Finding the GCF between 28 and 24:

We keep dividing while both numbers can be divided by the same factor. So

28 - 24|2

14 - 12|2

7 - 6

There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.

Simplifying in function of the GCF:

Now, we put 4 in evidence, and divide the rest of the expression by 4. So

[tex]28 + 24 = 4(\frac{28}{4} + \frac{24}{4}) = 4(7 + 6)[/tex]

The answer is given by option b.

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=4−(x+1)2 becomes x=4−(y+1)2.

Now, solve the equation x=4−(y+1)2 for y.

y=[tex]\sqrt{4-x}[/tex] - 1

ANSWER

y=[tex]\sqrt{4-x} -1[/tex]

Answer:30% prefer ice cream

Step-by-step explanation:

250-175=75

75/250 x 100(make it percent)

30%

Answer:

he has 11 4/25 pages left