i need help with number 70

I Need Help With Number 70

Answers

Answer 1

The volume of the rectangular prism is of 28.6875 mm³.

What is the volume of a rectangular prism?


The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

For this problem, the dimensions are:

2(1/8)mm = 2 + 1/8 = 2.125 mm.6(3/4)mm = 6 + 3/4 = 6.75 mm.2 mm.

Hence the volume is:

V = 2.125 x 6.75 x 2 = 28.6875 mm³.

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Related Questions

Solve the system of equations.
y = 2x+ 3
y=x^2+3x+3

Answers

Answer:

(0,3)

(-1,1)

Step-by-step explanation:

Hello!

Since both equations are equal to y, we can set the right-hand side of the equations equal to each other.

[tex]y = 2x + 3\\y = x^2 + 3x + 3[/tex][tex]y = y[/tex][tex]2x + 3 = x^2 + 3x + 3[/tex]

Solve for x[tex]2x + 3 = x^2 + 3x + 3[/tex][tex]0 = x^2 + x[/tex][tex]0 = x(x + 1)[/tex][tex]x = 0, x =-1[/tex]

X can either be 0 or -1. Remember, a solution to a system is not complete without a y-value. Plug in 0 and -1 for x in the first equation, and find the corresponding y-values.

[tex]y = 2(0) + 3\\y = 3[/tex]

And

[tex]y = 2(-1) + 3\\y = -2 + 3\\y = 1[/tex]

So the solutions to the system are (0,3) and (-1,1)

Need help ASAP
I will mark Brainleist

Need help part A, B and C

Roller Coaster Crew
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.

Part A
The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.
1. Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.

2. Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)

3. Create a graph of the polynomial function you selected from Question 2.

Part B
The second part of the new coaster is a parabola.

4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.

5. Create a graph of the polynomial function you created in Question 4.

Part C
6. Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.

Answers

Answer:

Part A

1. A third degree polynomial has exactly three zeros. This is because its highest power (or degree) is 3. Ray would only be correct in saying that a polynomial can have 4 zeros if it is a 4th degree polynomial. Since in this case, a 4rd degree polynomial is being discussed, Kelsey is correct.

2. Function chosen: g(x) = (x + 2)(x - 1)(x - 2)

End behaviour: x —> ∞, g(x) —> ∞

                         x —> - ∞, g(x) —> -∞

Zeros/x intercepts of the function: -2, 1, 2

y intercept: g(x) = (x + 2)(x - 1)(x - 2)

                   g(x) = (0 + 2)(0 - 1)(0 - 2)

                   g(x) = (2)(-1)(-2)

                   g(x) = 4

3. See Graph 1

Part B

4. f(x) = (x + 5)(x + 3)

Direction: opens upward

Zeros/x intercepts: -5, -3

y intercept: 15

5. See graph 2

Part C

You can draw the roller coaster yourself using the graphs below

> Function g can be thought of as a translated (shifted) version of Y f(x) = x².​

Answers

Using translation concepts, function g(x) is given as follows:

g(x) = x² - 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:

g(x) = x² - 3.

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what percentage was the price of the shirt reduced

Answers

6%, 15-9 is 6, use the difference

jerome wants to bake two batches of muffins. He can bake two batches of chocolate chip (C), two batches pumpkin, or one batch of each.

Answers

The situation presented can be represented using the following letters CC, CP, PC, and PP.

How many combinations are possible in this situation?

The possible combinations are:

Two batches of chocolate chip or CC.Two batches of pumpkin or PP.One batch of chocolate chip and another of pumpkin of CP.One batch of pumpkin and another of chocolate chip or PC.

Based on this, the option that represents the situation is:

CC, CP, PC, and PP.

Note: This question is incomplete; here is the missing section:

What is the sample space of the event described above?

Answer choices:

a. CC, CP, PC, PP

b. CC, PP

c. CC, CP, PC

d. C, P

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You deposit $400 each month into an account earning 8% interest compounded monthly. Round to the nearest cent as needed. a) How much will you have in the account in 35 years? $ b) How much total money will you put into the account? $ c) How much total interest will you earn? $

Answers

If I deposit $400 each month into an account earning 8% interest compounded monthly, I will have $6,517 in my account in 35 years. The total money that I will put into the account is $168,000. I will earn a total compound interest of $6,117.

Calculating the Sum of Money in 35 years

Given information is as follows,

Principal, P = $400

Rate = 8%

Time, T = 35 years

n = 12 (Compounded monthly)

The amount for compound interest is given as,

A = [tex]P\frac{(1+\frac{R}{n} )^{nT} -1}{R/n}[/tex]

A = [tex]400\frac{(1+\frac{0.08}{12} )^{12.35} -1}{0.08/12}[/tex]

A = 6,517.02

A = $6,517 (to the nearest cents)

Calculating the Amount Put in Account

Since, $400 is deposited every month for 35 years,

Amount Put in 35 years for this compound interest =$400 × 12 × 35

= $168,000

Calculating the Compound Interest

A = P + CI

Thus, the compound interest is given by,

CI = A - P

CI = 6517 - 400

CI = $6,117

I will earn a total interest of $6,117

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George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
A. What is the area of the pool cover?
B. What is the length of the rope?

Answers

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

How to get the area of the cover?

Remember that the area of a circle of radius R is given by the formula:

[tex]A = pi*R^2[/tex]

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

[tex]A = 3.14*(11ft)^2 = 379.94 ft^2[/tex]

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

[tex]C = 2*pi*R[/tex]

Then the length of the rope will be:

[tex]C = 2*3.14*11ft = 68.2ft[/tex]

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The earth travels around the sun at about 1,110 miles per minute.

About how many miles does the earth travel around the sun per second?

Drag and drop the answer into the box.

The earth travels around the sun about ___ Response area miles per second.

Answers

Answer:

18.5 miles

Step-by-step explanation:

the Sun at an average speed of 67,000 mph, or 18.5 miles a second.

You make a scale drawing of a tree using the scale 5 inches. = 27 feet. If the tree is 67.5 feet tall, how tall is the scale drawing?

Answers

Answer:

12.5 inches

Step-by-step explanation:

We use proportion to calculate the scale drawing

27 feet = 5 inches, so

67.5 feet = more inches (we know that it would be bigger than 5 inches)

We then put the bigger number on top and crossmultiply by saying:

67.5 over 27 × 5

Your answer should come out as 12.5 inches.

HELP ME WOTH THIS QUESTIONNN!!

Answers

Answer:

C

Step-by-step explanation:

For lines l and m and the transversal line that creates angles 6 and 18, angles 6 and 18 are corresponding angles of lines l and m. If they are congruent, lines l and m are parallel.

Answer: Choice C

If f (7) = 22, then
f(f-1(22)) = [?]

Answers

Answer: 22

Step-by-step explanation:

[tex]f(f^{-1}(x))=f^{-1}(f(x))=x[/tex]

Someone please help I’m lost

Answers

It’s because it’s intersecting so WXY and ZYX are congruent

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

There is one angle and an adjacent side of the triangle given equal to corresponding angle and side of the other triangle and if we observe the figure we can see that there's also a adjacent side XY common in both the Triangles.

Hence, the two triangles are congruent by SAS congruency criteria.

[tex] \qquad \large \sf {Conclusion} : [/tex]

SAS criteria

Two angles in a triangle have measures of 42 and 82. (Degrees)

What is the measure of the third angle?

Answers

Answer:

angles of the triangle are equal 180

so 42+82=124

180-124=56

so the answer is 56

Step-by-step explanation:

NO LINKS!! Please help me with this problem​

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The given vertex and Focus are of a vertical parabola having an opening downward as the focus is in downward direction as the vertex.

Focus of the parabola can be written as :

[tex]\qquad \sf  \dashrightarrow \: (h ,k+ a )[/tex]

where, h and k are coordinates of vertex

so,

k + a = -2

-1 + a = -2

a = -1

So, the equation of parabola can be written as :

[tex]\qquad \sf  \dashrightarrow \: (x - h) {}^{2} = 4a(y - k)[/tex]

plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: (x - 1) {}^{2} = 4(- 1)(y + 1) {}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \: (x - 1) {}^{2} = - 4(y + 1)[/tex]

Answer:

[tex](x-1)^2=-4(y+1)[/tex]

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

[tex](x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0[/tex]

Vertex = (h, k)Focus = (h, k+p)Directrix: y = (k-p)Axis of symmetry: h = kIf p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

Given:

vertex = (1, -1)focus = (1, -2)

Comparing with the formulas:

⇒ h = 1

⇒ k = -1

⇒ k + p = -2  ⇒ -1 + p = -2  ⇒ p = -1

Substituting the values into the formula:

[tex]\implies (x-1)^2=4(-1)(y-(-1))[/tex]

[tex]\implies (x-1)^2=-4(y+1)[/tex]

If you invested $4,500 for 8 months at an interest rate of 2.75%, how much interest would you earn?

Answers

Given the money invested and the interest rate, the value of the interest earned after 8 months is $82.50.

What is the value of the Interest?

From the equation of simple interest; I = PRT

Given that;

Principal P = $4,500Interest rate R = 2.75% = 2.75/100 = 0.0275Time T = 8 months = 8/12 yearsInterest I = ?

I = PRT

I = $4,500 × 0.0275 × 8/12

I = $82.50

Given the money invested and the interest rate, the value of the interest earned after 8 months is $82.50.

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Numbers from 1 to 50 Find the probability of choosing
numbers with 4 in tens places.

Answers

Answer: 1/5

Step-by-step explanation:


There are 10 numbers, out of 50, which have a 4 in their tens place: 40, 41, 42, 43, 44, 45, 46, 47, 48, and 49.

Therefore our desired probability is 10/50 or 1/5.

At the movie theater child admission is $5.20 and adult admission is $9.90.. On Friday 163 tickets were sold for a total sales of $1303.50. How many adult tickets were sold that day?

Answers

The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of children and y represent the number of adult, hence:

5.2x + 9.9y = 1303.5     (1)

Also:

x + y = 163    (2)

From both equations:

x = 66, y = 97

The number of tickets sold on Friday were 66 children tickets and 97 adult tickets.

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Solve for m. 3/4m>−12 m>−16 m<−16 m>−9 m<−9

Answers

Answer: m > -16

Step-by-step explanation:

[tex]\frac{3}{4}m > -12\\\\m > -\frac{4}{3}(12)=-16[/tex]

PLEASE HELP PLEASE I DONT KNOW THIS QUESTION AND IVE BEEN STUCK ON THIS FOR A DAY​

Answers

A is -5 and B is 1 so yeah

Answer:

A = -5

B = 1

Step-by-step explanation:

Hello!

You simply plug in the given x-value into the equation to find the missing y-value.

Solve for A

Plug in -1 for x into y = 2x - 3.

y = 2x - 3y = 2(-1) - 3y = -2 - 3y = -5

Solve for B

Plug in 2 for x into y = 2x - 3.

y = 2x - 3y = 2(2) - 3y = 4 - 3y = 1

Complete the following table given this information: (Do not round intermediate calculations.) Cost of machine $ 94,000 Residual value $ 4,000 Useful life 5 years Estimated units machine will produce 100,000 Actual production: Year 1 60,000
Year 2 15,000 Use MACRS table.
Straight line method?
Units of production?
Declining balance?
MACRS (5-year class)

Answers

The completion of the following table under different depreciation methods is as follows:

Depreciation Expense:

Method                           Year 1                     Year 2

Straight line                   $18,000                 $18,000

Units of production      $54,000                 $13,500

Declining balance        $37,600                $22,560

MACRS (5-year class)   $18,800                $30,080

Data and Calculations:

Cost of machine = $94,000

Residual value = $4,000

Depreciable value = $90,000 ($94,000 - $4,000)

Estimated useful life = 5 years

Depreciation expense:

Straight-line method = $18,000 ($90,000/5)

Estimated units of produciton = 100,000

Unit depreciation rate = $0.90

Actual production   Depreciation

Year 1 = 60,000      $54,000 ($0.90 x 60,000)

Year 2 = 15,000      $13,500 ($0.90 x 15,000)

Declining Balance:

Year 1 = $37,600 ($94,000 x 40%)

Year 2 = $22,560 ($94,000 - $37,600) x 40%

MACRS:

Year 1 = $18,800 ($94,000 x 20%)

Year 2 = $30,080 ($94,000 x 32%)

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Given: f(x) = x - 7 and h(x) = 2x + 3

Write the rule for f(h(x)).


f(h(x)) = 2x - 7

f(h(x)) = 2x - 4

f(h(x)) = 3x - 4

f(h(x)) = 3x - 7

Answers

Answer:

2nd option

Step-by-step explanation:

to find f(h(x)) substitute x = h(x) into f(x) , that is

f(h(x))

= f(2x + 3)

= 2x + 3 - 7

= 2x - 4

1. Solve x² +5x+3=0
Give your solutions correct to 2 decimal places.

Answers

Answer:

Step-by-step explanation:

hello :

x² +5x+3=0

delta = b²-4ac   when :  a =1  and b=5    c=3

delta =5²-4(1)(3) =13

X1 =(-b-sqrt(delta))/2a

X2 =(-b+sqrt(delta))/2a

continu.....

the answer is int his photos

waht is the x^2 + 10 = 0

Answers

Answer:

x = ±√10i (i outside the radical), or approximately ±3.62i, or no solution depending on your class.

Step-by-step explanation:

x^2 + 10 = 0

x^2 = -10

x = ±√-10

x = ±√10i (i outside the radical), or approximately ±3.62i.

The solution is not real.

If you meant x^2 - 10 = 0 then x = ±√10 or approximately ±3.62. This solution is real.

New topic really confused

Answers

The cost given shows that the amount left is £12.

How to illustrate the information?

From the information given, it was stated that the person saved £60 and spent £42 on coat and £6 on scarf

The amount that the person has left will be:

= £60 - £42 - £6

= £12

In conclusion, the person has £12 left.

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Jenny's lunch account has $10 in it. She buys lunch three days in a row and spends $2.50, $2, and $2.75. On the fourth day, she
deposits $10 before buying lunch for $3. What is Jenny's balance after buying lunch on the fourth day?

Answers

10-(2.5+2+2.75)+10-3 = 9.75

$9.75

Given the information
, we know that for the first 3 days, she spends a total of $7.25. On the fourth day, she deposits $10 before buying lunch for $3.

This means she had $20, but spent $10.25. $20-$10.25=$9.75 is the amount she has in her account.

can anyone help me solve these questions, please

Answers

Step-by-step explanation:

8.√128/√2

ans √64

10.3√81

3√3*3*3*3(find factor)

3 √3(this is cube root therefore we kept one out of three then we kept remaining inside of root.this is surds because one factor is inside the surds if factor is not remaining inside the surds then this is not surds)

Which expression is equivalent to (z−3)4z−6 for all values of z where the expression is defined?

Answers

The equivalent of the expression [ (z−3)4z−6 ] is 4z² - 12z - 6.

What is the equivalent of the expression?

Given the expression; (z−3)4z−6

First, we apply distributive property.

(z−3)4z−6

(z−3)4z−6

z(4z) - 3(4z) - 6

We remove the parentheses

4z² - 12z - 6

Therefore, the equivalent of the expression [ (z−3)4z−6 ] is 4z² - 12z - 6.

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Which is true regarding the system of equations?

6 x + 2 y = 46. 3 x + y = 23.
The system results in a false statement.
The system results in an intersection at one point.
The system results in parallel lines.
The system results in a true statement because they are the same line.

Answers

Answer:

they are the same line

Step-by-step explanation:

if you divide the first line by 2 you'll get:

2(3x)+2y=2(23)===> 3x+y=23

3(1-5x)=2(3x+1) find the solution set

Answers

Answer:

1/21

Step-by-Step Explanation:

Let's solve your equation step-by-step.

3(1−5x)=2(3x+1)

Step 1: Simplify both sides of the equation.

3(1−5x)=2(3x+1)

(3)(1)+(3)(−5x)=(2)(3x)+(2)(1)(Distribute)

3+−15x=6x+2

−15x+3=6x+2

Step 2: Subtract 6x from both sides.

−15x+3−6x=6x+2−6x

−21x+3=2

Step 3: Subtract 3 from both sides.

−21x+3−3=2−3

−21x=−1

Step 4: Divide both sides by -21.

-21x/-21=-1/-21

x=1/21

[tex]\boldsymbol{\sf{3(1-5x)=2(3x+1)}}[/tex]

Reorder terms

[tex]\boldsymbol{\sf{3(-5x+1)=2(3x+1) }}[/tex]

Distribute

[tex]\boldsymbol{\sf{-15x+3=2(3x+1) }}[/tex][tex]\boldsymbol{\sf{-15x+3=6x+2 }}[/tex]

Subtract 3x from both sides.

[tex]\boldsymbol{\sf{-15x+3-3=6x+2-3 }}[/tex]

Simplify

[tex]\boldsymbol{\sf{-15x=6x+1}}[/tex]

Subtract 6x from both sides.

[tex]\boldsymbol{\sf{-15x-6x=6x-1-6x }}[/tex]

Simplify

[tex]\boldsymbol{\sf{-21x=-1 }}[/tex]

Divide both sides by the same factor

[tex]\boldsymbol{\sf{\dfrac{-21x}{-21}=\dfrac{-1}{-21} }}[/tex]

Simplify

[tex]\boxed{\boldsymbol{\sf{x=\frac{1}{21} }}}[/tex]

WILL GIVE BRAINLIEST!!! If [tex]\frac{a}{b} =2[/tex] what is the value of [tex]\frac{a}{a-b}[/tex]?


Could the answer be D) or is it C)?


A) -2

B) 1

C) 2

D) It cannot be determined from the given information

Answers

Considering the given proportion, the value of [tex]\frac{a}{a - b}[/tex] is:

C) 2

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion between a and b is given by:

a/b = 2.

Then:

a = 2b.

The expression is:

[tex]\frac{a}{a - b} = \frac{2b}{2b - b} = \frac{2b}{b} = 2[/tex]

Hence option C is correct.

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write any four importance of pressure A Period 2 element has the following successive ionization energies. Identify the element...1st: 1087 kJ/mol2nd: 2353 kJ/mol3rd: 4621 kJ/mol4th: 6223 kJ/mol5th: 37832 kJ/mol6th: 47279 kJ/mol7th: 55261 kJ/mol8th: 69875 kJ/mol if (2x+3):(3x+2)=5:7,find the value of x Which of the following equals sin A?Ignore my answer. Animals get energy from the food that they eat. However, when the molecules from the food enter your cells, how do the molecules turn in to energy?Question 3 options:The glucose molecules from the food are broken down by the mitochondria in the cell to produce ATP which the cells use as energy.The ATP is broken down into glucose which the cells use for energy.Upon hitting the stomach, the food molecules are changed to energy molecules which fuel the body.The cells absorb ATP from food and use it for energy. For the given expression, use the Commutative Property of Addition to enter an equivalent expression. x + 19 = what are some products that come from plants? Samuel brought a new bile for $350. Each year the value of the bike decreases by 12%. Find the value of the bike at the end of 5 years? I ONLY HAVE A HOUR PLS HELP What mathematical advancement is credited to the Gupta Empire? A. The development of algebra B. The discovery of the circumference C. The development of a decimal system D. The understanding of the diameter -18 = 1(x 11) solve this equation Problem: A federal agency is deciding which of two waste dump projects to investigate. A top administrator estimates that the probability of federal law violations is 0.30 at the first project and 0.25 at the second project. Also, he believes the occurrences of violations in these two projects are mutually exclusive (that is, the events are disjoint).a). find the probability of federal law violations in the first project or the second project.b). given that there is not a federal law violation in the first project, find the probability that there is a federal law violation in the second project.c). In reality, the administrator confused mutually exclusive and independent, and the events are actually independent. Answer (a) and (b) with this correct information. The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. What is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car? John is measuring a piece of glass to fit in a triangular frame. he can only remember two sides of the brain, which are 6 cm and 11cm. Between what two numbers must the third side of the frame fall? Please help me with this equation below. 3x+4x+5x= need help asap URGENT!!! PLS GIVING BRAINLIEST!A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 3 pounds of chocolate chps, the total cost is $16. For 6 pounds of walnutsand 5 pounds of chocolate chips, the total cost is $34. Find the cost for each pound of walnuts and each pound of chocolate chips. What contributed to the rise of Mwenautapa? (1 point)An alliance with PortugalThe spread of ChristianityAbundant salt and copper resourcesCattle herding Type the expression that results from the following series of steps: Start with y, subtract 7, divide by 3, then add 6. If a point is equal distance from the 2 sides of an angle it is A. on the perpendicular bisector B. on the angle bisector C the vertex of the angle D on one side of the angle Jocelyn Smith has been injured by a local driver who was not paying attention to the road while he was texting on his cellphone. Jocelyn Smith decides to sue the driver. She believes that her own pain and suffering and other damages are worth more than $100,000. In which Florida court should she file her legal action against the driver?