if it is snowing in Eugene, then it is snowing in oregon.write the converse of the conditional.

The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

Answer:

less!

Step-by-step explanation:

billy = 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 = 295

maria = 10, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25 = 360

soooooo that in mind! maria earned more than billy!

The volume of the rectangular prism is: 567 cubic inches

The volume of the triangular prism is: 183.6 cubic yards

The volume of the rectangular prism is:

Volume = length x width x height

Volume = 9 in x 7 in x 9 in

Volume = 567 cubic inches

It should be noted that to find the volume of a triangular prism, you need to multiply the area of the base by the height of the prism. In this case, the triangular prism has a base that is a triangle with dimensions of 9 yards by 3.4 yards, and a height of 12 yards. So the volume of the triangular prism is:

Volume = (base area) x height

Volume = (1/2 x base x height) x height

Volume = (1/2 x 9 yd x 3.4 yd) x 12 yd

Volume = 183.6 cubic yards

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The original price of the play station is $620.

Given that, the cost of the play station=$558 and discount=10%.

We need to find the original price of the play station.

The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for.

Let the original price be x.

Now, x-10% of x=558

⇒x-0.1x=558

⇒0.9x=558

⇒x=$620

Therefore, the original price of the play station is $620.

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Answer: 17/24

Step-by-step explanation:

let x be the fertilizer used in the flower bed

to find how much he has left

1 3/8 - x = 2/3

the fraction 1 3/8 we can write as 11/8

11/8 - x = 2/3

11/8 -2/3= x

we need the common denominator between 8 and 3, which is 24

33/24-16/24=17/24

Answer:

This is a ssa situation, no triangle is possible.

Step-by-step explanation:

"SSA" means "Side, Side, Angle".

In an SSA triangle, we are given two sides and an angle that is not the angle between the given sides.

In triangle ABC:

Given:

The angle that is between the sides a and b is angle C.

Therefore, as angle A is not the angle between the given sides, ΔABC is an SSA triangle.

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:

\(\implies \sf \dfrac{\sin 44^{\circ}}{12.6}=\dfrac{\sin B}{19}\)

\(\implies \sf \sin B=\dfrac{19\sin 44^{\circ}}{12.6}\)

\(\implies \sf \sin B=1.0475007...\)

As -1 ≤ sin B ≤ 1, there is no solution for angle B.

Therefore, although this is an SSA situation, no triangle is possible.

Answer:

  (b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

The correct simplification is ...

  \(x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}\)

Both variables should have positive exponents in the denominator.

Answer:

y=3x2-24x+58

Step-by-step explanation:

just took the quiz

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Answer:11

Step-by-step explanation:

The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

To make 100 ml of 25% saline solution, Riley will need 50 ml = 12% saline mixture and 50 ml= 38% saline mixture.

Given,

We have 12% and 38% of saline mixtures.

We need to find the amount in ml from each saline mixture which would give us 100 ml of 25%.

What are the methods to solve a system of linear equations?

There are a number of methods but the most and easiest used method is the substitution method and the elimination method.

We can make two linear equations from the given statements.

Let x = amount from 12% saline mixture and y = amount from 38% saline mixture.

Now we need to make 100 ml of 25% saline.

so,

x + y = 100.

So we have two equations.

x + y = 100..............(1)

12% of x + 38% of y = 100 x 25%

0.12x + 0.38 = 25 ...............(2)

Using the substitution method we have,

x = 100 - y

Putting x = 100 - y in {2}

0.12 ( 100 - y ) + 0.38y

= 2512 - 0.12y + 0.38y

= 250.38y - 0.12y

= 25 - 120.26y = 13y

= 13 / 0.26y = 50.

Putting y = 50 in (1)

x + y = 100x

100 -50x = 50.

So Riley will need 50 ml = 12% saline mixture and 50ml = 38% saline mixture to make 100 ml of 25% saline solution.

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Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The number of students who scored within 2 standard deviations of the mean is 380.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The number of students who scored within 2  standard deviations of the mean is approximately

By the Empirical Rule, 95% of the students scored within 2 standard deviations of the mean

Out of 400

0.95*400 = 380

The number of students who scored within 2 standard deviations of the mean is 380.

Answer: 380

Step-by-step explanation: 95% of 400 is 380

9514 1404 393

Answer:

  x = 25

Step-by-step explanation:

The parallel lines divide the triangle sides proportionally.

  x/40 = 15/24

  x = 40(15/24) . . . . multiply by 40

  x = 25

The measurement of KL is given as follows:

KL = 5.86.

Similar triangles are triangles that share these two features listed as follows:

Considering the similar triangles in this problem, the proportional relationship for the side lengths is given as follows:

8.7/KL = 7.8/LJ = 12.18/8.2

Hence the length KL is obtained as follows:

8.7/KL = 12.18/8.2

12.18KL = 8.2 x 8.7

KL = 8.2 x 8.7/12.18

KL = 5.86.

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Step-by-step explanation:

n(AUB)=n(A)+n(B)-n(AnB)

hope it helps

Answer:

21

Step-by-step explanation:

The area of the shaded region as represented in the task content is; 81 in².

It follows from the task content that the area of the shaded region is the difference of the area of the trapezoid and the area of the rectangle.

On this note; we have that;

Area of shaded region = ( (a + b)h / 2 ) - bh

Area = ( (8 + 16)•8/2 ) - (5×3)

Area = 96 - 15

Area = 81 in².

Ultimately, the area of the shaded region is; 81 in².

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Answer:

68.27%

Step-by-step explanation:

By the Empirical Rule, as 65% and 75% are both one standard deviation apart from the mean of 70%, then this represents 68.27% of the data.

Answer:

Between 50 and 60

Step-by-step explanation:

4,346/82 is 53 which is between 50 and 60.

Hope this helps!

Answer:

Since,

The line segment will be parallel to X-axis when plotted in graph.

So,

It's slope will be 0.

Answer:

Step-by-step explanation:

A' (- 3 + 4, 4 + 2) = (1, 6)

B' (- 1 + 4, 2 + 2) = (3, 4)

C' (- 5 + 4, 0 + 2) = (-1, 2)

Answer:

\(f = \frac{1}{\frac{1}{u}+\frac{1}{v} }\)

Step-by-step explanation:

\(1/u=1/f-1/v\\\frac{1}{f} = \frac{1}{v} +\frac{1}{u} \\Divide- both- sides- by; 1\\\frac{1}{f} \div \frac{1}{1} = (\frac{1}{v} + \frac{1}{u}) \div \frac{1}{1}\\\\f = \frac{1}{\frac{1}{u}+ \frac{1}{v} }\)

Answer:

f = uv/(v+u)

Step-by-step explanation:

1/u = 1/f - 1/v

1/u + 1/v = 1/f

(v+u) ÷ uv = 1 ÷ f

multiply both sides by uvf

f(v+u) = uv

f = uv / (v+u)

Answer:

its c

Step-by-step explanation: A 2-column table with 7 rows. Column 1 is labeled x with entries 0.5, 1, 1.5, 1.5, 2, 2.25, 2.75. Column 2 is labeled y with entries 41, 35, 37, 36, 35, 30, 31.

The data set in the table forms a cluster and does not include outliers.

Which point, if added to the table, would be an outlier?

✔ (2.75, 41 )

Answer:

C. The data contains a group of closely occurring points

Step-by-step explanation:

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