A cube has side length x.
another side is doubled. The volume
One side of the cube is increased by 4 inches, and
of the new rectangular prism is 450 cubic inches. The equation 2x3 + 8x2 450
can be used to find x. What was the
side length of the original cube? Use a graphing calculator and a system of equations to find the answer.
• 4 inches
• 5 inches
• 9 inches
• 10 inches

Answers

Answer 1

Step-by-step explanation:

The length of the original cube is 5 inches.


Related Questions

You have $45 to spend on notebooks and each one costs $5.
Write an inequality for the possible number of notebooks you
could buy, then find out the maximum number of notebooks
you could buy.
notebooks

Answers

Answer:

9notebooks

Step-by-step explanation:

5×y≤45( where y is number of notebooks)

$5=1notebook

$45=$45/$5x1

=9

therefore, you'll be able to buy nine notebooks with$45

Answer:

$5n = $45

n = 9

Step-by-step explanation:

Let n represent the amount of notebooks

$5n = $45

Divide each side by 5

$5n/5 = $45/5

n = 9

so the maximum number of notebooks you can buy is 9

The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 9 vans and 14 buses with 710 students. High School B rented and filled 13 vans and 5 buses with 371 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Answers

Answer:

Buses - 43 people

Vans - 12 people

how do I find angle 1?

Answers

Answer:

60º

Step-by-step explanation:

The two triangles on the left are equilateral as the sides are all conguent.

The angles of an equilateral triangle are all 60º

Therefor the two angles to the left of angle 1 are both 60º for a combined value of 120º

Angle 1 must be 180 - 120 = 60º

To find angle 1, you have to add all adjacent angles, which equal 180°

PYTHAGORAS
work out the side of b.
give your answers to one decimal place

Answers

Answer:

12 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 12 cm

c = 17 cm

Step 2: Solve for b

Substitute in variables [Pythagorean Theorem]:                                            12² + b² = 17²Evaluate exponents:                                                                                         144 + b² = 289[Subtraction Property of Equality] Subtract 144 on both sides:                     b² = 145[Equality Property] Square root both sides:                                                      b = √145[√Radical] Evaluate:                                                                                         b = 12.0416Round:                                                                                                               b ≈ 12.0

The missing number in the sequence 2, 5, 10, ?, 26, 37 is .........?​

Answers

Answer:

17.

Step-by-step explanation:

The differences form an arithmetic sequence 3, 5, 7, 9,,11.

The missing number  is 10 + 7 = 17.

This is a quadratic sequence.

The nth term = n^2 + 1.

Thus the 4th term = 4^2 + 1 = 17.

which figure shows the radius of circle O?

Answers

Answer:

D

Step-by-step explanation:

The radius of a circle refers to a segment connecting the center of the circle to the circumference of the circle. This can be seen in selection D), as a segment connects the center of the circle (O) to the circumference or outer edge of the circle.

A random sample of 50 male employees is taken at the end of a year and the mean
number of hours of absenteeism for the years is found to be 63 hours. A similar sample of
50 female employees has mean of 66 hours. Could these samples be drawn from a
population with the same mean and standard deviation 10 hours?​

Answers

Answer:

Yes the samples can be drawn from a population with the same mean and standard deviation 10 hours

Step-by-step explanation:

We are given;

Sample mean for male employees; x1¯ = 63

Sample mean for female employees; x2¯ = 66

Sample size = 50

Standard deviation; σ = 10

First,let's define the hypotheses of the question;

Null hypothesis; H0: μ1 = μ2

Alternative hypothesis; Ha: μ1 ≠ μ2

Now, let's find the test statistic from the formula;

z = (x1¯ - x2¯)/(σ√(2/n))

Thus;

z = (63 - 66)/(10√(2/50))

z = -3/2 = - 1.5

Now, we are not given the significance value but usually when it is not given, we can adopt α = 0.05.

Thus, from online p-value from z-score calculator using; z = -1.5; α = 0.05; two tailed test; we have;

p-value = 0.13364

The p-value is greater than the significance value and thus we will fial to reject the null hypothesis and conclude that these samples can be drawn from a population with the same mean and standard deviation

Lydiagrace33

Image attached
A) 1 point Write an inequality for this graph . Use the shift key and the key or key to type the < or > symbol . *

B) Water boils when the temperature is at least 212 degrees F. Which inequality shows this situation ?

C) When the temperature drops below 50 degrees F , crickets usually stop chirping . Which inequality shows this situation ?

D) Explain the difference between the meaning of a closed
circle and an open circle on a graph of an inequality .

Answers

x is greater than -1.5
D
A
a closed circle shows that the variable can be equal to the number it is on, and an open circle shows that it cannot
Hope this helps!

Daryl invested $2,200 for 3 years. He received interest of $264. What was the interest rate?

Answers

Answer:

4%

Step-by-step explanation:

264 interest/3 years=88 interest/year

principal x interest rate =interest/year

2200 x interest rate =88

interest rate =88/2200

interest rate =.04 or 4%

The two sets of lines are parallel. If the measure of angle A is 110°, what is the measure of angle B?

Answers

Answer:

Sum of 2 interior angles =180

1 angle+70=180

Another angle=110

Step-by-step explanation:

how many kilometers are there in 9000000cm​

Answers

Answer:

90 kilometers

Step-by-step explanation:

https://www.bing.com/search?q=kilometers+are+there+in+9000000cm

A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a year’s time?

Give your answer as a whole number.
ONLY ANSWER IF YOU KNOW THE ANSWER

Answers

Answer:

87 gallons

Step-by-step explanation:

5 gallons: 3 weeks = x gallons: 52 weeks

5/3 = x/52

3x = 260

x= 86.6, about 87 gallons

HELP!! I don’t know part c or d and I need to know if part a and b are correct thanksss

Answers

Answer:

d=67257

c=93

Step-by-step explanation:

PLS HELP LAST THING I NEED FOR MATH THIS SCHOOL YEAR

ANSWER WITH STEP BY STEP SOLOUTION/PROCESS = BRAINLIEST ANSWER AND 5* VOTE

TROLLS = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED

PART 2, PART 1 ALREADY POSTED CHECK PROFILE​

Answers

Answer:

B = 25 because 180-25-130 = 25 and all angles within triangle add to 180 degrees

a = 6  because the triangle is isosceles and we can see symmetry and draw this to prove on two opposite lines, therefore we can now find height easier.

c = 10. 876  because 130/2 = 65 degree and with new central height we can find Right Angle and using 6 x sin (65) = 5. 438 then we multiply by 2 to find c  

Then all you have to do is re-write and round to the nearest 10th and check the units and write degree sign where required.

Step-by-step explanation:

PLEASE HELP ASAP Determine the period.

Answers

That’s easy_________

A man at ground level measures the angle of elevation to the top of the building to
be 87°. If at this point, he is 20 meters away from the building, what is the height of
the building?​

Answers

Answer:

The bulding is 381,623 meters high.

Step-by-step explanation:

To dertermine the height of the bulding I would use tanα = rectangulair side / closest rectangulair side.

19,08 = the height/ 20m.

<=> 19,08.20m= the height = 381,623 m

A scientist is conducting an experiment on two types of bacteria to determine which type will grow faster in a pool. After collecting data for two weeks, she finds that she can model the growth rates as follows:

Bacteria 1: y = 4x

Bacteria 2: y = 4x2

In these models, y represents the number of bacteria colonies and x represents the number of hours.
Based on these models, which type of bacteria is growing faster?

Answers

Answer:

bacteria 1

Step-by-step explanation:

i got it right

Can someone please answer this please

Answers

Answer: I don't know but i have the formula.

Step by Step: [tex]A=\frac{1}{2}b h[/tex]

Answer this question to receive 10 points​

Answers

Answer:

153.86.

Step-by-step explanation:

Use the formula pi times radius squared.

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

Carpeted Un-Carpeted
15.9 8.1 15 7.2 10.4 6.1
11.2 16 11.2 6.8 11.3 6.8
8.6 10 12.1 6.3

Requried:
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Answers

Answer:

The null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:

H[tex]_{0}[/tex]:  μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].

H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

Step-by-step explanation:

In the question, the given assertion is that carpeted rooms have more bacteria than uncarpeted rooms, i.e. μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

The assertion made in the question can either be the null hypothesis (H[tex]_{0}[/tex]) or the alternate hypothesis (H[tex]_{1}[/tex]). An equality must be present in the null hypothesis. The alternative hypothesis expresses the exact opposite of the null hypothesis if the claim is the null hypothesis.

Therefore, the null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:

H[tex]_{0}[/tex]:  μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].

H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=3). write your answer as a fraction.

Answers

Given:

The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed.

To find:

The probability [tex]P(T=3)[/tex].

Solution:

In the given table T represents the number of tails.

From the given table it is clear that the value of probability is [tex]\dfrac{1}{8}[/tex] and [tex]T=3[/tex]. So,

[tex]P(T=3)=\dfrac{1}{8}[/tex]

Therefore, the probability [tex]P(T=3)[/tex] is equal to [tex]\dfrac{1}{8}[/tex].

HELPP PLSS ILL MARK BRIANLIEST

Answers

Answer:

128cm

Step-by-step explanation:

Your Welcome :)

A cosmetics salesman earns a basic wage of $2000 per month plus 10% commission on all sales he makes. Calculate his total wage for the month when he sold $89,000 worth of cosmetics.

Answers

bsbdhhdjdjdhdjjrjdhdndhnrjf

please help me look at the photo!

Answers

First of all multiply both sides by the power of 3 to cancel out the cube roots.

So you will be left out with:

X+4 > -x

Now simplify:

4 > -x-x

4> -2x

4/-2 > -2x/-2

-2 > x

Final answer:

It’s C , x < -2

Good luck and best of wishes!!

Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5

Answers

Answer:

(2,1)

Step-by-step explanation:

-3x + 7 = -2x + 5

x = 2

y = -6 + 7

y = 1

Answer:

(2,1)

Step-by-step explanation:

Remark

One thing you need to remind yourself of: The y value in both equations must be the same.

That means that the two right hand values are

-3x + 7 = - 2x + 5         Subtract 5 from both sides.

      -5              -5

-3x + 2 = - 2x               Add 3x to both sides

+3x          +3x

       2 = x

Now use one of the equations to solve for y

y = -2x + 5

y = -2(2) + 5

y = - 4 + 5

y = 1

We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.

A corollary needs which of the following geometric terms to be proven true?

A. Theorem
B. Identity
C. Common notion
D. Inverse

Answers

Answer:

B. Identity

Step-by-step explanation:

There are 9 students in a class: 7 boys and 2 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?

Answers

Answer: 9/7

Step-by-step explanation:

Two expressions of the equation

Answers

Step-by-step explanation:

let the expression of the equation be :

x+y=0

x²+y²= 5

hope it is helpful to you

The cost of making 6 chairs is $410. The cost of making 22 chairs is $570.
What is the cost per chair?
What is the fixed cost (or startup cost) that you need to spend before making the first chair?
Write a linear equation that tells you the total cost, C. of making x chairs.
CE
What is the total cost of making 17 chairs? $
If your total cost is $820, how many chairs did you make?

Answers

Answer:

if it cost 410 dollars to make 6 chairs we can divide 410 by 6 which is 68.3333333333 or 68 1/3

now for the other set of chairs we can divide 570 by 22 which is

25.9090909091 or 25.9

and for the rest it doesn't make any sense to me sorry

Hi pls helppppppppppp

Answers

Answer:

it could only accomplish it's goal on Friday

Step-by-step explanation:

all you had to do was multiply 8 with the number of people and 2 with the number of tickets on each day and add them together to see if it was more than 1650. it was only more on Friday

Did her answer help?^^^???
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