I need help with this ​

The volume of the composite figure is

The volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes

The simple shapes used here include

Volume of rectangle = length x width x depth

= 30 * 9 * 7

= 1890 cubic yd

Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth

= 1/2 (30 + 19) x 10 x 9

= 2205 cubic  yd

Total volume

= 1890 cubic yd + 2205 cubic yd

=  4095 cubic yd

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Answer:

The answer is x= 9 over 7 or 9/7 :)!

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

d+22=60

d=60-22

d=38

Answer: 38

Step-by-step explanation:

60 - 22 = 38

I hope this helps! Can i plz have brainliest? :)

Option 1's airfare will set you back $2600.

The act of simplifying something such that it is simpler to carry out or understand, or the thing that is the product of this simplifying process: The group offers suggestions for streamlining business processes. This grossly oversimplifies what actually transpired. See.

We have been given that

For option 1

Airfare = $x

Hotel = $600

For option 2

Airfare = $0.75x

Hotel = $800

Only 10 family members can attend if they choose Option 1.

10x + $600 .........eq 1.

12 family members can attend the reunion if they choose Option 2.

12(0.75)x + $800

9x + $800 ........eq 2.

By using Eq (1) and Eq (2)

10x + $600 = 9x + $800

10x - 9x = $800 - $600

x = $200

Put the value of x in the eq (1)

Then we get 10x + $600

= 10 x 200 + $600

= 2000 + $600

=  $2600

Hence ,  the cost of airfare for Option 1 is  $2600.

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Answer:

here!!! I hope this helps you all :))

The quotient of the divided numbers is:

220

What are whole numbers?

Whole numbers is a set of numbers which consists of positive integers and zero. Fractions are not represented as whole numbers.

For ex: [0,1,2,3,4,5,6,7,8,9....] is a set of numbers without any negative number and fraction.

Given:

Divide 814 ÷ 3.7

Hence, we need to multiply a number to 3.7 in order to make it a whole number.

Step 1:

So multiply and divide by number 10

814 × 10 ÷3.7 × 10 = 37

Now we got the number 37 and 814 becomes 8140

Step 2:

We divide both the changed numbers:

8140 ÷ 37

Hence we get the quotient as 220

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Answer:

Step-by-step explanation:

mean tide is (17.2 + 4.6)/ 2 = 10.9 ft

Amplitude of tide is (17.2 - 4.6)/ 2 = 6.3 ft

The full tide cycle is 2(5.8) = 11.6 hrs

As we are not told the tide condition at 12:00 noon,

I will ASSUME that the tide is high and use the cosine function

D = 10.9 + 6.3cos(2π(t/11.6)) ft

where t is in hours after noon high tide.

make sure your calculator is set to radians.

If you want to use degrees, the equation becomes

D = 10.9 + 6.3cos(360(t/11.6)) ft

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

sec θ = -4 / 3

cot θ > 0

Step 02:

sec θ = 1 / cos θ

-4/3 = 1 / cos θ

cot θ = 1 / tan θ > 0

Step-by-step explanation:

Total insects = 270

Days = 7

If 80 insects to 700 insects

Days = 700 ÷ 80 = 8.75

It will take 8.75 days

Answer:

83, 97, 111 i think that is what you are asking

Answer:

83, 97,111

Step-by-step explanation:

Based on the data provided in the table, an inverse relationship exists between variables x and y. (Option A)

An inverse relationship refers to a relationship between two variables that changes in opposite directions. In other words, an increase in one variable results in a decrease in the other variable and vice versa. An inverse relationship is represented in the form of y = k/x, where x and y are two variables and k is the constant value. Based on the data provided in the table, as the value of x increases, the value of y decreases by a constant value. Hence, the relationship that exists between variable x and y is inverse.

Note: The question is incomplete as it is missing options which are A) inverse B) direct C) independent d) there is no relationship between variable x and y.

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Answer:

34107cm

Step-by-step explanation:

Answer:

6  2/3 inches

Step-by-step explanation:

2 inches / 6 feet   * 20 feet = 6 2/3 inches

well, what's 40% of 20?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies 8\)

Answer: w(10) = -12

Step-by-step explanation:

w(n) = -n - 2; Find w(10)

w(10) = -(10) - 2

w(10) = -10 - 2

w(10) = -12

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Answer:

C. <F

Step-by-step explanation:

The angle that sees the largest side length has the largest measurement.

Amongst the given side lengths the one that sees <F has the longest length so the answer is C

Assume that the price of 1 kg fish is x and 1 kg of prawns is y

∵ She has 70 dollars

∵ The price of 4 kg fish and 3 kg prawns will be the total money with her

∴ 4x + 3y = 70 ====== (1)

∵ She bought 3 kg fish and 4 kg prawns

∵ She has 3.50 dollars left

→ That means the price of them = 70 - 3.50 = 66.5 dollars

∴ 3x + 4y = 66.5 ===== (2)

Now we have a system of the equations to solve it and find the value of y

Multiply the first equation by -3 and the 2nd equation by 4

∵ -3(4x) + -3(3y) = -3(70)

∴ -12x - 9y = -210 ===== (3)

∵ 4(3x) + 4(4y) = 4(66.5)

∴ 12x + 16y = 266 ===== (4)

Add equations (3) and (4)

∴ 7y = 56

Divide both sides by 7 to find y

∴ y = 8

∴ The price of 1 kg of prawn is $8

Answer:

Choice B

Step-by-step explanation:

Multiply in table B :)

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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solve for C:

Multiply both sides by 9/5:

Add 32 to both sides:

---------------------------------------------------------

for C = 30:

Answers:

a)

b)

SOLUTION

The expected value can be calculated using the formula

Probability of selecting tickets worth $2000 =

Probability of selecting tickets worth $500 and

that of $40 are

This becomes

Hence the answer is $-5.09 to the nearest cent.

Answer:

\(\huge\boxed{x=24}\)

Step-by-step explanation:

\(\dfrac{1}{4}x-2=-6+\dfrac{5}{12}x\qquad|\text{add 2 to both sides}\\\\\dfrac{1}{4}x-2+2=-6+2+\dfrac{5}{12}x\\\\\dfrac{1}{4}x=-4+\dfrac{5}{12}x\qquad|\text{subtract}\ \dfrac{5}{12}x\ \text{from both sides}\\\\\dfrac{1}{4}x-\dfrac{5}{12}x=-4+\dfrac{5}{12}x-\dfrac{5}{12}x\\\\\dfrac{1\cdot3}{4\cdot3}x-\dfrac{5}{12}x=-4\\\\\dfrac{3}{12}x-\dfrac{5}{12}x=-4\\\\\dfrac{3-5}{12}x=-4\\\\\dfrac{-2}{12}x=-4\\\\\dfrac{-2:2}{12:2}x=-4\)

\(-\dfrac{1}{6}x=-4\qquad|\text{multiply both sides by (-6)}\\\\\left(-6\!\!\!\!\diagup\right)\cdot\left(-\dfrac{1}{6\!\!\!\!\diagup}\right)x=(-4)(-6)\\\\x=24\)

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Answer:

I think the answer is $56,600

Step-by-step explanation:

I'm pretty sure you're just going to add $63,000+$8,400+$2,900+$1,1000. Then when you get a total of $75,400 and then I think you are going to subtract $15,400 from $75,400, you should get $60,000 then subtract $3,400 and you get $56,600.

Answer:

 Japanese car

Step-by-step explanation:

Given

  problem details in Attachment 1

Find

  the most economical car

Solution

The attached spreadsheet shows the costs of repairs, insurance, and gas for each of the cars, using the cost factors described in the problem statement. (Numbers are displayed rounded to dollars.)

Mileage each year is assumed to be 150,000/8 = 18,750.

The "present value" line shows the present (year 0) value of the listed costs. The present value is the sum of values divided by 1.05^(year number). It is calculated using the spreadsheet NPV function.

The green total is the sum of present values to its right and the initial cost. The end value is subtracted after it is discounted by 1.05^8.

The Japanese car has the lowest present value.

___

The third attachment is the spreadsheet in Open Office format.

Answer:

22.5 divided by 3=7.5

Step-by-step explanation: