She is serving hot coffee and cold coffee in two rectangular-shaped tanks, each with dimensions width 8.75 inches, length 8.75 inches, height 23 inches.
The hot coffee has a density of 5.8 oz/in3 and the cold coffee has a density of 3.5 oz/ in3

(A) What is the volume of the coffee in each tank?
Show all math work needed to complete this problem.

(B) What is the mass of the coffee in each the tank?
Show all math work needed to complete this problem.

(C) How many tanks can be placed on a table which can support a maximum weight of 800 lb?
Explain why or why not.
Show all math work needed to complete this problem.

Answer:

......

Step-by-step explanation:

[tex] 5x = 95[/tex]

[tex] \displaystyle{ \frac{5x}{5} = \frac{95}{5} }[/tex]

[tex]x = 19[/tex]

Answer:

19

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Divide 95 by 5

[tex]\frac{95}{5} = 19[/tex]

Now we know that x is 19, solve the whole problem optionally.

[tex]5 * 19 = 95[/tex]

__________________________________________________________

Answer:

Step-by-step explanation:

1) [tex]\overline{AC}[/tex] bisects [tex]\overline{BD}[/tex] and [tex]\overline{BC} \parallel \overline{AD}[/tex] (given)

2) [tex]\overline{AE} \cong \overline{EC}[/tex] (a bisector splits a segment into two congruent parts)

3) [tex]\angle BCE \cong \angle EAD[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

4) [tex]\angle CBE \cong \angle EDA[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

5) [tex]\triangle BEC \cong \triangle DEA[/tex] (AAS)

Answer:

Domain: All real numbers

Range: y≤5

Step-by-step explanation:

Domain: All real numbers (it can be all x values)

Range: y≤5  (the y values can be 5 or less.)

[tex]-2x+5y +3=0~~~~~~.....(i)\\\\x-4y -12=0~~~~~~,,,,(ii)\\\\\\~~~~~~~~\dfrac{x}{5(-12)-3(-4)} = \dfrac{y}{3\cdot 1 -(-2)(-12)}=\dfrac{1}{(-2)(-4)-5\cdot 1} \\\\\\\implies \dfrac{x}{-60+12}= \dfrac{y}{3-24} = \dfrac1{8-5}\\\\\\\implies -\dfrac{x}{48}=-\dfrac y{21} = \dfrac 1{3}\\\\\\\implies x = -\dfrac{48}{3},~~~ y = -\dfrac{21}{3}\\\\\\\implies x = -16, ~~~~ y = -7[/tex]

Answer:

Around 31.4

Step-by-step explanation:

The circumference formula of a circle is C=2[tex]\pi[/tex]r. Plug the radius in which is 5. 5 times 2 is 10. 10 times pi would be around 31.4

Answer:

0.101

Step-by-step explanation:

[tex]speed = \frac{distance}{time} [/tex]

We have speed, and we have distance. So let's rearrange to get time:

[tex]time = \frac{distance}{speed} [/tex]

Let's plug in our numbers (make sure to times distance by 1000 to convert to metres):

[tex]time = \frac{30425000}{3.0 \times {10}^{8} } [/tex]

Which leaves us with:

[tex]time = \frac{1217}{2 ^ {5} \cdot 3 \cdot 5 ^ {3}} \approx 0.101416667[/tex]

Answer:

(6, 5)

Step-by-step explanation:

Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 6, and where y is the y-axis value, in this case 5.

Answer:

the answer would be (6,5)

[tex]~~~~~2^{x+1} = 3^x\\\\\implies \ln \left(2^{x+1}\right) = \ln\left(3^x \right)\\\\\\\implies (x+1) \ln 2 = x \ln 3\\\\\\\implies \dfrac{x+1}x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies 1+ \dfrac 1x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies \dfrac 1x = \dfrac{\ln 3 }{ \ln 2}-1\\\\\\\implies \dfrac 1x = \dfrac{ \ln 3 - \ln 2}{\ln 2}\\\\\\\implies x = \dfrac{\ln 2}{\ln 3 - \ln 2}\\\\\\\implies x \approx 1.7095\\\\\\[/tex]

Applying the property of exponents, the simplest radical form of [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex] is: [tex]\sqrt{x}[/tex].

The property of exponents that can be used to solve this problem are:

[tex]a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}[/tex]

Given the expression, [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex], applying the property of exponents, we would simplify the expression as shown below:

[tex]\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }[/tex]

Reduce the fraction

[tex]= x^{\frac{1}{2} }\\\\ = \sqrt{x}[/tex]

Therefore, [tex]\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}[/tex]

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The maximum amount of profit the company can make is 9274

Differentiation is the rate of change of one quantity with respect to the other.

It is the ratio of the change in one quantity, usually the dependent quantity to the change in another related quantity, usually the independent quantity.

Analysis:

y= -6x^2 + 600x - 5726

differentiating the equation,

dy/dx = -12x + 600

for maximum selling price, dy/dx = 0

-12x + 600 = 0

12x = 600

x = 50

The maximum selling price is 50, so substituting x to find y

y = -6(50)(50) + 600(50) - 5726 = 9274

In conclusion, the maximum amount of profit the company can make is 9274.

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Answer:

Step-by-step explanation:

Remark

These two angles are related by the supplement of corresponding angles. So they add to 180.

Equation

<1 + <2 = 180

2x + 4 + 8x - 14 = 180

Givens

<1 = 2x + 4

<2 = 8x - 14

Solution

<1 + <2 = 180                Substitute the givens into this equation

2x + 4 + 8x - 14 = 180  Combine like terms

2x + 8x + 4 - 14 = 180  

10x - 10 = 180               Add 10 to both sides

10x-10+10 = 180+10     Combine

10x = 190                      Divide by 10

10x/10 = 190/10

x = 19

Answer: x = 19

Answer:

Im pretty sure its 144 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

103.8 seconds

68.11024 inches

A function assigns the values. The translation of the function f(x) when it is moved 2 units up is (5ˣ+2).

A function assigns the value of each element of one set to the other specific element of another set.

Given the function, f(x)=5ˣ. Now, if the function is needed to be translated by 2 units, then +2 is needed to be added to the overall value of f(x). Therefore, the function will become,

f(x) = 5ˣ

f(x) = 5ˣ + 2

Hence, the translation of the function f(x) when it is moved 2 units up is (5ˣ+2).

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solve the equation:-

[tex] - 7n + m[/tex]

[tex] m = - 1.2 \\ n = - 4.8[/tex]

Putting the value:-

[tex] - 7( - 4.8) + ( - 1.2) \\ - 33.6 - 1.2 \\ - 34.8[/tex]

Answer:

Your number written in expanded form is:

0.8

+ 0.01

+ 0.007

Answer:

0.8

+ 0.01

+ 0.007

Step-by-step explanation:

I think

Answer:

45%

Step-by-step explanation:

216/480

216 ÷ 480

= 0.45

0.45 × 100

= 45%

The number of zeros of the given Polynomial which are α, β and γ are; A:3

We are given the Polynomial;

x³ - 8x² + 4x - 4 = 0

From online polynomial root calculator, to roots of the Polynomial are;

7.54, 0.23, 0.23.

α = 7.54

β = 0.23

γ = 0.23

Thus, we see that there are three roots of the Polynomial. although the latter 2 are imaginary roots.

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A) the angles

Similar triangles are triangles that have the same shape but different sizes.

Angles

Since similar triangles have the same shape, all of the angles must be congruent. If any of the angles are different sizes, then the shape of the entire triangle would change.

Sides

The sides of a similar triangle are not necessarily congruent. However, because all of the angles are congruent, the sides are proportionate. This means that if you are given the sides and angles of one triangle, you can find the sides and angles of any similar triangle.

It depends on the size of the portion and you divide that size by 3 and the result comes out

There is no association in scatter plot of the annual tuition and parent rating of the 12 private schools

We can see that the points on the scatter plot are scattered, and they do not follow a specific pattern.

This means that there is no association in scatter plot

A point that would affect the appropriateness is a point that is relatively far from other data points i.e. an outlier

An example of this point is the point between x = 8000 and 10000 and y = 0 and 10

This school would have a high rating and a medium or not so high cost

From the scatter plot, an example of a school that has this feature have a tuition close to $6000 and rating close to 90

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Answer:

Your answer is B

y < x

y ≥ -x

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

Answer:

B is correct because I too took the test.

6.14 Checkpoint: Systems of Linear Inequalities

Step-by-step explanation:

You're welcome.

The factorization of the given expression, 3x² - 10x + 8, is expressed completely as: (x - 2)(3x - 4).

Given the expression, 3x² - 10x + 8, to factorize, follow the steps below:

Find two factors that will give you -10 when you add them and also give you 24 when you multiply them. Let's use -6 and -4.

3x² - 6x - 4x + 8

(3x² - 6x) - (4x + 8)

3x(x - 2) - 4(x - 2)

(x - 2)(3x - 4)

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Answer:

2 and 3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

callie and her 4 friends so you have to include callie which makes 5 people. 20/5 is 4 :)

Answer:

5 Each

Step-by-step explanation

There are 4 girls and they want to share so break the 20 in 5 4 times then u get 20 bck