A random sample of 50 students from a high school with 900 students is surveyed. Each student is asked what science class he or she is taking and all students at the school take science. The table shows the responses.

Answer:

144 i think

Step-by-step explanation:

triangular prism calculator

Answer:

9a²-12ab³+4b⁶

Step-by-step explanation:

use FOIL to solve

f-first

o-outer

i-inner

l-last

Answer: 4b^6 - 12ab^3 + 9a^2

yw

Answer:

Step-by-step explanation:

You can find the cube root of 2 and multiply it by the 6th root of 5.

cube root(2) = 2^(1/3) = 1.2599

6th root of (5) = 0.7418

Product = 1.2599 * 0.7418 = .9346

You need a key that will do fractional powers. Look around on your calculator for ^ that key y^x  or x^y.

Using one of those keys, you would put in 2 ^ 0.33333333 =

If your calculator does not have this key (I recommend you buy one that does. They are less than 10 dollars), then you can use the calculator on windows.

Answer:

10

Step-by-step explanation:

Since it's a right angle, it's already 90 degrees. So, you add 48 + 32 which gives you 80. 80 minus 90 equals 10.

48 + 32 = 80

90 - 80 = 10

Answer:

j = $1.05

Step-by-step explanation:

($12.48 - $1.98) / 10 = j

(Total cost - popcorn cost) / number of juice boxes = cost of one juice box

Answer:

10j+1.98=12.48

j= 1.05

Step-by-step explanation:

Answer:

$17.65

Step-by-step explanation:

hope this helped!!

Answer:

The least possible height of the flagpole is 227.33 inches and the greatest possible height is 248 inches

Step-by-step explanation:

Given

See attachment for the system

Required

Determine the least and greatest heights of the flagpole

From the question, we have:

[tex]AB = 7\ to\ 7\frac{1}{2} ft[/tex]

[tex]BE =62in[/tex]

[tex]BC = 20\ to\ 21ft[/tex]

Convert AB and BC to feet (multiply by 12)

[tex]AB = 84in\ to\ 90in[/tex]

[tex]BC = 240in\ to\ 252in[/tex]

The height of the flagpole is represented as: CD

To calculate CD, we make use of the following equivalent ratios:

[tex]CD : AC = BE : AB[/tex]

Express as fraction

[tex]\frac{CD }{ AC } = \frac{BE }{ AB}[/tex]

Make CD the subject

[tex]CD = \frac{BE }{ AB} * AC[/tex]

From the attachment:

[tex]AC = AB + BC[/tex]

Where:

[tex]AB = 84in\ to\ 90in[/tex]

[tex]BC = 240in\ to\ 252in[/tex]

The possible values of AC are:

[tex]AC = 84 + 240 =324in[/tex]

[tex]AC = 84 + 252 =336in[/tex]

[tex]BC = 90 + 240 = 330in[/tex]

[tex]AC = 90 + 252 =342in[/tex]

So:

[tex]CD = \frac{BE }{ AB} * AC[/tex]

[tex]BE =62in[/tex]

When AC = 324 ; AB = 84

[tex]CD = \frac{62}{84} * 324[/tex]

[tex]CD = \frac{62* 324}{84}[/tex]

[tex]CD = \frac{20088}{84}[/tex]

[tex]CD = 239.14in[/tex]

When AC = 336 ; AB = 84

[tex]CD = \frac{62}{84} * 336[/tex]

[tex]CD = \frac{62* 336}{84}[/tex]

[tex]CD = \frac{20832}{84}[/tex]

[tex]CD = 248in[/tex]

When AC = 330 ; AB = 90

[tex]CD = \frac{62}{90} * 330[/tex]

[tex]CD = \frac{62 * 330}{90}[/tex]

[tex]CD = \frac{20460}{90}[/tex]

[tex]CD = 227.33in[/tex]

When AC = 342 ; AB = 90

[tex]CD = \frac{62}{90} * 342[/tex]

[tex]CD = \frac{62* 342}{90}[/tex]

[tex]CD = \frac{21204}{90}[/tex]

[tex]CD = 235.6in[/tex]

So, we have:

[tex]CD = 239.14in[/tex]

[tex]CD = 248in[/tex]

[tex]CD = 227.33in[/tex]

[tex]CD = 235.6in[/tex]

The least possible height of the flagpole is 227.33 inches and the greatest possible height is 248 inches

The given range of the length of the shadow and distance of the student

from the tree of between 7 and [tex]7\frac{1}{2}[/tex] feet and 21 and 22 feet gives;

The greatest possible height of the flagpole in feet ≈ 21.8 feet

The least possible height of the flagpole in feet = 19.3 feet

Height of the student = 62 inches = [tex]5\frac{1}{6}[/tex] feet

Distance of the flagpole to the student = 21 to 22 feet = 252 to 264 inches

Length of the student's shadow = Between 7 and [tex]\mathbf{7\frac{1}{2}}[/tex] feet = Between 84 and 90 inches

Required:

The least and greatest height of the flagpole.

Solution;

By using similar triangles formed by the student and the flagpole, we

have;

[tex]\dfrac{Height \ of \ the \ student}{Length\ of \ the \ student's \ shadow} = \mathbf{\dfrac{Height \ of \ the \ flagpole}{Length\ of \ the \ flagpole's \ shadow}}[/tex]

Which gives;

[tex]\dfrac{62}{84 \ or \ 90} =\mathbf{ \dfrac{h}{252+(84 \ or \ 90) \ or \ 264 + (84 \ or \ 90)}}[/tex]

Based on the method of cross multiplication, h will be the greatest

possible value, when we have, the largest possible value for the

denominator on the right hand side and the least possible value for the

denominator on the left hand side of the equation, and vice versa.

Which gives;

[tex]\dfrac{62}{90} = \mathbf{\dfrac{h_{min}}{252 + 84}}[/tex]

[tex]h_{min} \ in \ feet = \mathbf{\dfrac{\dfrac{62}{90} \times (252 + 84)}{12}} \approx 19.3[/tex]

The least possible height of the flagpole in feet, [tex]h_{min}[/tex] ≈ 19.3 feet

Similarly. we have;

[tex]\dfrac{62}{84} = \mathbf{\dfrac{h_{max}}{264 + 90}}[/tex]

Which gives;

[tex]h_{max} = \dfrac{62}{84} \times (264 + 90) \approx 261.3[/tex]

[tex]h_{max} \ in \ feet \approx \dfrac{261.3}{12} \approx\mathbf{ 21.8}[/tex]

The greatest possible height of the flagpole in feet, [tex]h_{max}[/tex] ≈ 21.8 feet

Learn more about the characteristics of similar triangles here:

https://brainly.com/question/10703692

Answer:

[tex]g = 15 - \frac{1}{30}m[/tex]

Step-by-step explanation:

Given

[tex]Initial = 15[/tex]

[tex]mpg = 30[/tex] --- miles per gallon

Required

Determine an equation for this trip

First we have to get the number of gallons per mile from [tex]mpg = 30[/tex]

[tex]\frac{miles}{gallon}=30[/tex]

Inverse the equation

[tex]\frac{gallon}{miles}=\frac{1}{30}[/tex]

This represents the rate in gallons/mile

So, the equation is:

[tex]g= Initial - Rate * m[/tex]

[tex]g= 15 - \frac{1}{30} * m[/tex]

[tex]g= 15 - \frac{1}{30}m[/tex]

Answer:

yes i believe it is correct

Step-by-step explanation:

Answer: v=Lwh (volume = length x width x height)

Step-by-step explanation: it would be the first answer, to find volume, it’s finding the amount of space in a 3D object, kind of like area, but multiply the height to the area (bxh)

Answer:

784

Step-by-step explanation:

you take the 49 and times is by 16

there are 4 sides

Answer:

Step-by-step explanation:

Required equation:

Correct choice is C

Answer:

$10

Step-by-step explanation:

1000 divided by 100 = 10

so $10  is the answer

then 100 tickets = $1000

PLEASE MARK BRAINLIEST AND GIVE 5 STARS.

yes u can get help what is it?

Answer:

Yeah i can  help you ,but the picture u have uploaded is blank.

pls upload again.

Step-by-step explanation:

Pls mark BRAINLIEST

Answer:I got the answer correct because i have to take the test

Step-by-step explanation:

The relation between the area and the circumference is given by:

"The area is 1/2 times the radius times the circumference".

We know that for a circle of radius R we have:

If you take the quotient between the area and the circumference, you get:

A/P = (pi*R^2)/(2*pi*R) = R/2

So the area is R/2 times the circumference, or, using the terms given in the list:

"This means that the area is 1/2 times the radius times the circumference"

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

Answer:

A and d is the correct answer

Step-by-step explanation:

A and d is matter fact correct answer

Answer:

speed of bus = 33 mi/hr

speed of motorcycle = 31 mi/hr

Step-by-step explanation:

Let the speed of the motorcycle be x mi/h.

Now, we are told that the bus averages 2 mi/hr faster than the motorcycle. Thus, speed of bus = (x + 2) mi/hr

Formula for time is; t = distance/speed

Since distance covered by bus is 165 miles, then t_bus = 165/(x + 2)

Since distance covered by motorcycle is 155 miles, then t_motorcycle = 155/x

We are told that the bus and the motorcycle used the same time to cover their respective distances. Thus;. t_bus = t_motorcycle

Thus;

165/(x + 2) = 155/x

Cross multiply to get;

165x = 155(x + 2)

165x = 155x + 310

165x - 155x = 310

10x = 310

x = 310/10

x = 31 mi/hr

Then speed of bus = 31 + 2 = 33 mi/hr

Answer:

Step-by-step explanation:

Length of the cuboid = ((2x + 5) cm

Width of the cuboid = (3 - x) cm

Height of the cuboid = (2x + 5) cm

Since, volume of the cuboid = Length × Width × Height

                                               = (2x + 5)(3 - x)(x + 1)

                                               = [2x(3 - x) + 5(3 - x)](x + 1)

                                               = (6x - 2x² + 15 - 5x)(x + 1)

                                               = (-2x² + x + 15)(x + 1)

                                               = x(-2x² + x + 15) + 1(-2x² + x + 15)

                                               = -2x³ + x² + 15x - 2x² + x + 15

                                               = -2x³ - x² + 16x + 15

                                               ≈ 15 + 16x - x² - 2x³

Answer:

What is your question?

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Please rate my answer and say thanks!

Answer:

16,920,000 people speak Spanish at home in the United States, which represents 6.48% of the country's population.

Step-by-step explanation:

Given that approximately 261,000,000 people live in the United States, and of these people 37,600,000 speak a language other than English at home, of which over 45 percent speak Spanish, to determine the number of people who speak Spanish in the United States, the following calculation has to be done:

37,600,000 x 0.45 = X

16,920,000 = X

261,000,000 = 100

16,920,000 = X

16,920,000 x 100 / 261,000,000 = X

6.48 = X

Thus, some 16,920,000 people speak Spanish at home in the United States, which represents 6.48% of the country's population.

Add the ratios together:

5 + 2 + 1 = 8

Divide the length of NQ by that:

24/8 = 3

Multiply the ratio of NO by that/l

The ratio of NO is 5, 5 x 3 = 15

NO = 15

Answer:

57.5 students

Step-by-step explanation:

Given that

The 30% students would be arrived by private car

So 15% would be travelled by taxi

And, the remaining i.e. 55% would be walk to school

Since the population of the school is 230

So by car, the students would be

= 230 × 0.30

= 69

By walk, the students would be

= 230 × 0.55  

= 126.50

Now the more students would be

= 126.50 - 69

= 57.5 students

Answer:

Exact Form:

2√3/3

Decimal Form:

1.15470053

Step-by-step explanation:

Multiply

2√3

and

√3√3.2√3√

3

√

3

Raise

√

3

to the power of

1

.

2

√

3

√

3

1

√

3

Raise

√

3

to the power of

1

.

2

√

3

√

3

1

√

3

1

Use the power rule

a

m

a

n

=

a

m

+

n

to combine exponents.

2

√

3

√

3

1

+

1

Add

1

and

1

.

2

√

3

√

3

2

Rewrite

√

3

2

as

3

.

Tap for fewer steps...

Rewrite

√

3

as

3

1

2

.

2

√

3

(

3

1

2

)

2

Apply the power rule and multiply exponents,

(

a

m

)

n

=

a

m

n

.

2

√

3

3

1

2

⋅

2

Combine

1

2

and

2

.

2

√

3

3

2

2

Cancel the common factor of

2

.

Cancel the common factor.

2

√

3

3

2

2

Divide

1

by

1

.

2

√

3

3

1

Evaluate the exponent.

2

√

3

3

Answer:

The answer would be

Sin 60°=x/14

X=7v3

Answer:

$36

Step-by-step explanation:

60% of 90 is 54

With $54 off, you'd only pay $36

Answer:

good luck, i hope this helps :)