Question 4 options:

A prism with a base area of 6 ft² and a height of 7 ft is dilated by a factor of 3/2.


The volume of the dilated prism is ___ cubic ft

Answer:

Systems with infinitely many solutions are equations that are the same (on top of one another)

Ex:

4x=4 and 2x=2

4x=0, 5x=0

Kevin earning at least $504 implies that he wants to earn $504 or more

The inequality representing the scenario is [tex]12x + 14y \ge 504[/tex]

The given parameters are:

Earnings = At least $504

Food delivering = $12 per hour

Retail = $14 per hour

Represent the number of hours delivering food with x, and the retail work with y.

So, the earning is:

Earning = 12x + 14y

The earning is at least $504.

So, we have:

[tex]12x + 14y \ge 504[/tex]

See attachment for the graph of the inequality

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Step-by-step explanation:

AC = AC by reflexive

∆ABC = ∆CDA by SSS

Angle CAD = angle ACB by CPCTC

Since alt interior angles are congruent, BC //AD

Repeat the same process to show AB//CD

The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles.

The real distance is the producto of the scale factor and the in-scale distance. According to the figure, the scale factor is 50 miles per centimeters and the in-scale distance is approximately 1.25 centimeters. Then, the real distance between Kalamazoo and Ann Arbor is:

[tex]d \approx \left(50\,\frac{mi}{cm} \right)\cdot (1.25\,cm)[/tex]

[tex]d \approx 62.5\,mi[/tex]

The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles. [tex]\blacksquare[/tex]

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Answer:

243

Step-by-step explanation:

(3^5 – 3^4) (3^3 + 3^2)

= (243 – 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,

5832 is divisible by 24

The required number line that shows all of the possible

temperatures is option A.

From the given question, we have that water freezes when its temperature is no more than 32 °F

The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;

t ≤ 32.

We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible

temperatures is option A.

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Answer:

(1.75)(1.75)

Step-by-step explanation:

[tex](1.75)^{2} =(1.75)(1.75)[/tex]

Hope this helps

Answer:

26

Step-by-step explanation:

SORRY IF IM WRONG

      First, we can see that this is a reduction because ΔXYZ is larger than its dilation, ΔX'Y'Z'.

But by how much? We can compare two sides such as XY and X'Y' to see.

      -> I am going to compare sides XY and X'Y' because they are fully vertical lines that we can count without needing to use a distance formula.

             -> XY is 8 units long

             -> X'Y' is 4 units long

      -> 8 / 4 is a scale factor of 2

This is a reduction with a scale factor of 2.

Refractive index is the ratio of sin(i) to sin (r). Medium 2 is sodium chloride with a refractive index of 1.54.

A material's refractive index (sometimes called refraction index or index of refraction) is a dimensionless quantity that specifies how quickly light passes through it.

As we know that the Refractive index is the ratio of sin(i) to sin (r), and it can be represented as,

[tex]\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}[/tex]

where

i is the incident angle and

r is the refraction angle.

Now, the refractive index can be written as for the given medium can be written as,

[tex]\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}\\\\[/tex]

[tex]\rm Refractive\ Index = \dfrac{Sin(79.5)}{Sin(39.6)}=1.542[/tex]

Now, if we take the ratio of the refractive index of the two mediums, then

[tex]\rm 1.542 = \dfrac{n}{1.0003}\\\\n = 1.542 \times 1.0003\\\\n= 1.5425\ \approx 1.54[/tex]

Hence, Medium 2 is sodium chloride with a refractive index of 1.54.

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Answer:

What is medium 1?

air

What is medium 2?

lucite

Step-by-step explanation:

The probability that you land exactly one shot in each of the three rings is 0.122

The probability of hitting each section will be the quotient between the area of the section and the total area of the target.

The area of the target is:

A = 3.14*(12 in)^2 = 452.16 in^2

The area for the smallest circle is:

A₁ = 3.14*(4 in)^2 = 50.24 in^2

So the probability of hitting the smallest circle is:

p₁ = A₁/A = (50.24/452.16) = 0.11

For the first ring, the area is:

A₂ = 3.14*(8in)^2 -  50.24 in^2 = 150.72 in^2

So the probability of hitting this ring is:

p₂  = (150.72)/(452.16) = 0.33

The probability of hitting the final ring is 1 minus the probabilities of hitting the two other regions, so we have:

p₃ = 1 - 0.11 - 0.33 = 0.56

The joint probability of hitting one arrow in each region, is given by the product between the individual probabilities for each region times the permutations (the permutations for 3 arrows are 3! = 3*2*1  = 6)

So the probability is:

P = 0.11*0.33*0.56*6 = 0.122

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Answer:

35.975 lakhs simple interest earned

Answer:

That’s her nephew!

He could also be the father.

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

[tex]m \angle \: 1 = m \angle \: 4 \: \: \: (1) \\ (vertical \: angles) \\ \\ m \angle \: 7 = m \angle \: 6 \: \: \: (2) \\ (vertical \: angles) \\ \\ m \angle \: 4 + m \angle \: 6 = 180 \degree \: \: \: (3) \\ (Interior\:angles \: on \: same \: side \: of \: transversal) \\ \\ from \: equations \: (1),\: (2) \: and \: (3) \\ \\ \red { \boxed{ \bold{m \angle \: 1 + m \angle \: 7 = 180 \degree}}} \\ \\ thus \: proved[/tex]

Answer: 9

Step-by-step explanation:

Answer:

137

Step-by-step explanation:

because we know that angle z shares a line or is supplementary to the angle with 43 degrees, and a straight line is always 180 degrees, so to find the other angle, you would take 180-43=137.

Answer:

137

Step-by-step explanation:

we know that angle z shares a line with the angle with 43 degrees, and a straight line is always 180 degrees, to find the other angle, you take 180-43=137.

Work Shown:

y = expression for the missing side

perimeter = 9x - 1

side1+side2+side3 = perimeter

(2x+4) + (x-2) + (y) = 9x - 1

3x+2 +y = 9x-1

y = 9x-1-3x-2

y = 6x - 3

The equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4

An indirect variation is also known as the inverse variation

If the variable y is indirectly proportional to x , this is expressed as:

y = k/x

where

k is the variation constant

If the variation constant is -4, then;

y = -4/x

Hence the equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4

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4

Step-by-step explanation:

4 because it sounds close to me

The Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A supervisor finds the mean number of miles that the employees in a department live from work.

μ = 29 and σ = 3.6

Z-37

Then we have

[tex]\rm Z - 37 = \dfrac{37-29}{3.6}\\\\Z -37 = 2.22[/tex]

Then Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

More about the normal distribution link is given below.

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Answer:

ITS C

Step-by-step explanation:

Answer:

you are crazy

Step-by-step explanation:

that is a whole assignment

Answer:

[tex]\sqrt{145}[/tex]

Step-by-step explanation:

The distance formula states that the distance between two points [tex](a,b)[/tex] and [tex](c,d)[/tex] is [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex].

The two points we have are [tex](4,6)[/tex] and [tex](-4,-3)[/tex]. Plugging these numbers into the distance formula, we have

[tex]\sqrt{(4-(-4))^2+(6-(-3))^2[/tex].

Simplifying with order of operations, first using the distributive property, gives

[tex]\sqrt{(4+4)^2+(6+3)^2[/tex].

Squaring and adding gives

[tex]\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},[/tex]

which is the answer in simplest form. This also rounds to about 12.04.

Answer:

sorry there's no explanation IN this question

Answer:

Inconclusive.

Step-by-step explanation:

This equation is not understandable due to the lack of clarity, thank you.

Answer:

Less than 5

Step-by-step explanation:

The eason behind the answer being less than 5 is because if you multiply something by a fraction that is less than a whole number, then you will get less than the original number you multiplied the fraction with.

Hope this helps :)

Answer:

You mixed 364.8 grams of 12% solution with 115.2 grams of 6% solution

Step-by-step explanation:

x = 12% grams  

480 -x = 6% grams

.08 ( x)     +    .06 ( 480-x)  =  .0752 (480)

.012x         +   30 - .06x   = 37.6

x = 364.8  gm    of 12%       115.2 gm of 6%

PLEASE MARK BRAINLIEST!!!

HAVE A GREAT DAY!

Answer:

Step-by-step explanation:

One

√15 / ∛15 = 15^(1/2 - 1/3) = 15^(1/6)

When you divide numbers that are the same base but different powers, the following rule applies

base^(numerator power - denominator power)

Two

15^(1/2 + 1/4)

15^(3/4)

When you multiply 2 numbers with the same base and different powers you raise the base by the sum of the powers.

Answer:

3 2/3

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

1 2/ 3 = 5/3

Last, multiply

5/3 × 1 1 /5

11/3

or

3 2/3

Hope this helps!

mark brainliest if possible!

Answer:

3

Step-by-step explanation:

[tex]\cfrac{1}{4}\cdot 12\implies \cfrac{1\cdot 12}{4}\implies \cfrac{12}{4}\implies \cfrac{4+4+4}{4}\implies \cfrac{4}{4}+\cfrac{4}{4}+\cfrac{4}{4}\implies 1+1+1\implies 3[/tex]