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
maks197457 [2]
2 years ago
11

The height of a right square pyramid is multiplied by 10, but the area of the base is unchanged. By what factor is the volume of

the pyramid multiplied?
a 10⁰
b 10¹
c 10²
d 10³​
Mathematics
1 answer:
pshichka [43]2 years ago
5 0

Answer:

  b 10¹

Step-by-step explanation:

Consider the volume formula:

  V = 1/3Bh . . . . B is the base area and h is the height

Replacing h by 10h gives ...

  V' = 1/3B(10h) = 10(1/3Bh) = 10V

The volume is multiplied by 10 = 10¹.

You might be interested in
Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now
lakkis [162]

Answer:

19. 11

21. 119

Step-by-step explanation:

19.

(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =

= (-5)² - [4(-6 + 4)² + 3] + 5

= (-5)² - [4(-2)² + 3] + 5

= (-5)² - [4(4) + 3] + 5

= (-5)² - [16 + 3] + 5

= 25 - 19 + 5

= 6 + 5

= 11

21.

5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 14] - 3² · (-2)

= 5 - 8[2 - 14] - 3² · (-2)

= 5 - 8[-12] - 3² · (-2)

= 5 - (-96) - 9 · (-2)

= 5 + 96 + 18

= 101 + 18

= 119

3 0
3 years ago
Which of the following properly describe "slope"? Select all that apply
son4ous [18]
Boxes 1 and 4 apply :)
8 0
3 years ago
To change knots per hour, use the expression 1.15k, where k is the speed in in knots per hour. A plane is flying at 300 knots pe
Free_Kalibri [48]
1.15(300).
Substitute k for 300, since the plane is flying 300 knots per hour, and k=knots per hour.

1.15(300)=345 miles per hour
After multiplying, 300 by 1.15, you get 345 miles per hour. This is the speed of the plane from Knots to MPH (Miles Per Hour).
8 0
3 years ago
Read 2 more answers
Evaluate when x = -3 and y= -1:<br><br><br> x-xy=
LenKa [72]
-3-(-3)(-1)= 0, so 0 is the solution
5 0
3 years ago
Read 2 more answers
A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters
natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that p = 0.7

20 eligible voters were randomly selected from the population of all eligible voters.

This means that n = 20

What is the probability that fewer than 11 of them will vote?

This is:

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308

P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120

P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039

P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010

P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002

P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0
3 years ago
Other questions:
  • Someone help please ?
    14·1 answer
  • 1 2/7 minus what equals 6/7
    9·1 answer
  • Insert the parenthesis to make the equality right:<br><br> 30-49/42/6*8=184
    14·1 answer
  • If f(x) = x + 7 and g(x) = 1/x -13, what is the domain of (f O g)(x)
    15·2 answers
  • geo drinks 36 ounces of water per day. he reads that he should drink 64 ounces of water per day. if he starts drinking 64 ounces
    7·1 answer
  • 6=m/8 what does m equal
    7·2 answers
  • .
    5·2 answers
  • There is a $3 shipping fee for every $50 purchased from a catalog. What would be the shipping cost for an $800 order?
    10·1 answer
  • The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3
    12·1 answer
  • What is <br> -1.5+(4.2)=-1.5+?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!