1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ludmilkaskok [199]
1 year ago
8

Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of

the cutout squares used to make it. This is the graph Noah gets if he allows x to take on any value between -1 and 5.The volume of the box when x = 1 is______________.

Mathematics
1 answer:
11111nata11111 [884]1 year ago
7 0

SOLUTION

Given the question on the question tab;

From\text{ the graph; we will trace from x=1 upward to meet the curve, then trace to the y-axis.}

The trace on the graph is given below;

The\text{ value of y when x=1 is 15.}

Final answer:

The volume of the box when x=1 is 15 cubic inches.

You might be interested in
If the volume of a sphere is 36 cubic units, what is the radius? 3 units 4√3 units 9 units
nikdorinn [45]

Answer:

radius = 2.05 units

Step-by-step explanation:

The volume of a sphere is given by the formula: V=\frac{4}{3} \pi r^3. In this formula:

  • V = volume of the sphere
  • r = radius of the sphere

Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.

Substitute 36 for V into the formula and solve for r.

36=\frac{4}{3} \pi r^3

Divide both sides by \frac{4}{3}. To do this, multiply 36 by the reciprocal of \frac{4}{3}.

  • 36\times \frac{3}{4}
  • 36\times \frac{3}{4} =\frac{108}{4} \rightarrow 27

Simplify and rewrite the equation.

27=\pi r^3

Now divide both sides of the equation by pi (\pi).

  • 27\div\pi=8.59436692696

Rewrite the equation.

8.59436692696=r^3

To isolate and solve for r, cube root both sides of the equation.

  • r=\sqrt[3]{8.59436692696}
  • r=2.04835218977

The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:

  • whole number: 2 units
  • tenth: 2.0 units
  • hundredth: 2.05 units
  • thousandth: 2.048 units

I'll just give the answer rounded to the nearest hundredth as that seems the most popular.

8 0
3 years ago
Read 2 more answers
Can the values be added or subtracted? If one value needs to be converted to another, describe the conversion.
vaieri [72.5K]
Okie, the terms are similar in that they both have inches, but they are in different forms. The first has inches to the 2nd power. This is a unit for area. The second has the units of inches to the 3rd power. This is a unit of volume. To convert from area to volume, you would need a conversion but it usually would be from a problem with certain values. Ex. Think of a cube, the 2 sides multiplied would be area and third multiplied in would be volume. If you are adding an area to a volume, you would need to know of which since you cannot change volume magically to area or area magically to volume if you do not know the details of the problem. The answer is A; I hope this helps :-)
8 0
3 years ago
Helpppp plssss!! Show your work!!<br><br>Thanks
Eduardwww [97]

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

\heartsuit\;\;Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}

Given Points are (-3 , 5) and (6 , -1)

here x₁ = -3 and x₂ = 6 and y₁ = 5 and y₂ = -1

\heartsuit\;\;Slope(m) = \frac{5 + 1}{-3 - 6} = \frac{6}{-9} = \frac{-2}{3}

Option D is the Answer

4 0
3 years ago
PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food
Reil [10]

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

3 0
3 years ago
Value of this problem?
Rudik [331]
\frac{4^3\times4^{-1}\times5^{-2}}{4^4\times5^{-3}\times5^0}=\frac{4^{3-1}\times5^{-2}}{4^4\times5^{-3+0}}\\=\frac{4^{2}\times5^{-2}}{4^4\times5^{-3}}=4^{2-4}\times5^{-2-(-3)}\\=4^{-2}\times5^{1}=\frac{5}{4^2}\\=\frac{5}{16}
5 0
3 years ago
Other questions:
  • Plz plz plz help due in tommorw!!!!$
    9·1 answer
  • Which of these two fractions are equivalent to 1/4:
    12·2 answers
  • What’s the solution to 3(8x + 3) - 263= -6x + 7
    6·2 answers
  • What is true about the given function?
    7·1 answer
  • Pls help its for my exam
    5·1 answer
  • Explain what a rational exponent such as 5/2 means. Use this explanation to evaluate 9^5/2
    9·1 answer
  • Your uncle is 2 years older than 3 times your age. You are 12 years old. How old is your uncle?
    9·2 answers
  • What does • in math mean?
    15·2 answers
  • Can you please help?????
    14·2 answers
  • HELP ME WHATS THE VALUE OF X?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!