A rectangular safe can hold 7,296 cubic inches. Gold bars that are 4 inches by 8 inches by 2 inches fit to completely fill
the safe. What is the maximum number of gold bars that will fit in the safe?

(A) 64
(B) 228
(C) 114
(D) 128

Answer:

B. 56°

Step-by-step explanation:

We are given that m∠R is 66° and m∠T is 122°.

We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.

Now, we can use ∠R and ∠S to find ∠Q.

66° + 58° = 124°

180° - 124° = 56°

Answer:

m∠Q is 56°.

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.

In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.

So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.

Therefore, m∠Q is 56°.

Answer:

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Step-by-step explanation: See Annex

Green Theorem establishes:

∫C ( Mdx  +  Ndy )  = ∫∫R ( δN/dx  -  δM/dy ) dA

Then

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy

Here

M = 2x  + cosy²           δM/dy  =  1

N = y + e√x                 δN/dx  =  2

δN/dx  -  δM/dy  =  2  -  1   = 1

∫∫(R) dxdy   ∫∫ dxdy

Now integration limits  ( see Annex)

dy  is from   x  = y²    then     y = √x    to  y = x²   and for dx

dx   is from 0   to  1 then

∫ dy    = y | √x   ;   x²      ∫dy    =  x² - √x

And

∫₀¹ ( x² - √x ) dx    =  x³/3  - 2/3 √x |₀¹    =   1/3 - 0

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Answer:

-9

Step-by-step explanation:

Answer:

can we go with D. 54 ?

the height and length is 9 and 6

9x6= 54

Answer:

B . 27 square units

Step-by-step explanation:

Area of triangle is 1/2 ×b×h

base is MN = 6 units

hight is 9 unis

so 1/2 ×6×9 = 3×9 =27 square Units

Answer:

Step-by-step explanation:

This is a translation of the absolute value function:

The function is:

Answer:

The Answer is your mom! :)

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

I'm pretty sure its just the same

Answer:

3:6

3x2=6

Scale factor = 2

Step-by-step explanation:

Answer:it’s C

Step-by-step explanation:

That’s the answer on edge

Answer:

3 1/2 - 1 4/6= 1 5/6

Step-by-step explanation:

Answer:

Before and after current era

Answer:

[tex]y = -\frac{21}{2}x+5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

Required

The equation in slope intercept

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

So:

[tex]m = \frac{-16 - 47}{2 - -4}[/tex]

[tex]m = \frac{-63}{6}[/tex]

Simplify

[tex]m = -\frac{21}{2}[/tex]

So, the equation is calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

This gives:

[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]

[tex]y = -\frac{21}{2}(x+4) + 47[/tex]

Open bracket

[tex]y = -\frac{21}{2}x-42 + 47[/tex]

[tex]y = -\frac{21}{2}x+5[/tex]

Answer:

5.60 inches

Step-by-step explanation:

7.63 - 2.01 = 5.62

5.62 ≈ 5.6

Tell me if there is any missing information in the question because the information for Denver seems useless and there probably something missing

Answer:

Hello Answer: V = 20

Step-by-step explanation:

Hope this helps!

9514 1404 393

Answer:

  v = 20 ft

Step-by-step explanation:

The similarity statement tells you the proportional sides:

  IH/IK = IG/IJ

  v/(10 ft) = (16 ft)/(8 ft)

  v = 10 ft × (16 ft)/(8 ft) = 10 ft × 2

  v = 20 ft

Answer:

The expression is not factorable with rational numbers.

Step-by-step explanation:

Answer:

Range=2

Step-by-step explanation:

Range=Highest number-Lowest number

          =5-3=2

Hope it Help

Mark Me Brillainest

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)

Answer:

the answer is 54.7

Step-by-step explanation:

82.6 - 27.9 = 54 7

Answer:

A

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

circumference = [tex]2\pi r[/tex]

[tex]r^{2} = 4\\\sqrt{r^{2}} =\sqrt{4} \\r = 2[/tex]

[tex]2\pi (2) = 4\pi[/tex] [tex]yd[/tex]

Answer:

x = 5, y = 5

Step-by-step explanation:

The scale changes from 8 to x+y

to find the change in scale, use the bottom values.

2 + 3 = 5 | 1 + 3 = 4

5/4 = 1.25 (the scale)

8 * 1.25 = 10

x+y = 10

There are 2 possibilities for this, but I feel like it is possibility #1

1. x = 5, y = 5

2. x = 4, y = 6

Answer:

P(T<683) = 0.1587 = 15.87% ≈ 16%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When two normal variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.

The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g.

The package consists of one candle of each type. So

[tex]\mu = 500 + 200 = 700[/tex]

[tex]\sigma = \sqrt{15^2 + 8^2} = 17[/tex]

Find the probability that the total weight is under 683g.

This is the pvalue of Z when X = 683.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{683 - 700}{17}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

So

P(T<683) = 0.1587 = 15.87% ≈ 16%.

Answer:

0.1587 Step-by-step explanation:kahn

I believe that the answer is 11/4. I hope this helps!

Answer:

The answer is B to your question

Answer:

?=24

Step-by-step explanation:

12=?

13  26

solve for ?

Answer:

2 2 + 3 − 5 4

Step-by-step explanation:

Answer:

being e tnn 6t FCC CBC ni irdghyy42s nhi it a njugkinsa high by nigh

Answer:36

Step-by-step explanation: