-3 (n - 5) = 3 (1 - 3n)

Answer:

The answer is 960.

8 x 12 x 20 is 1920. 1920 divided by 2 is 960.

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

A = plane

B = whale

C = sunken ship

Step-by-step explanation:

The given vertical number line is modelling the positions of objects and animals in relation to sea level.

Sea level is the average height of the surface of the world's oceans, which we use as a reference point to measure the elevation and depth of land and water features on Earth.

From inspection of the given number line:

We have been told that a plane is flying at 8,500 feet above sea level. Therefore, as position A is the only position above sea level, A = plane.

We have been told that a sunken ship is resting at 3,000 feet below sea level, and that directly above the ship, a whale is swimming 1,960 feet below sea level. Therefore, the whale is above the ship. As position B is above position C, this means that B = whale and C = sunken ship.

Answer:

34

Step-by-step explanation:

Answer:

Step-by-step explanation:

13oz bottle of dish soap sells for 2.34

Answer: hope this helps ♡

The unit price of the 13 oz bottle is $0.18 per oz

The unit price of the 30 oz bottle is $0.53 per oz

The 13 oz bottle for $2.34 is a better deal.

Step-by-step explanation:

Unitary method: diving the number that you want to find out over the already known number. (just try to understand this lol)  :)

13 oz = $2.34

13 oz bottle is  $?  per oz

\(\frac{2.34}{13}\) = 0.18

1 oz = $0.18

(double check: 0.18×13=2.34)

30 oz = $15.90

30 oz bottle is $?  per oz

\(\frac{15.9}{30}\) = 0.53

1 oz = $0.53

(double check: 0.53×30=15.9)

The 13 oz bottle for $2.34 is a better deal.

Part A: first multiply 2 by x and -3 → combine all like terms → Add 6 on both sides → subtract 6x from both sides.

Your final answer should be -5

step by step:    4x + 2(x-3) = 4x + 2x - 11

                          4x +2x -6 = 4x + 2x - 11

                                            6x -6 = 6x - 11

                                            6x = 6x -11 +6

                                            6x = 6x -5

                                            6x-6x= -5

                                            0 = -5

Part B: Add all like terms.

Hope this helps! :)

Answer: The answer is 255 cm2

Step-by-step explanation:

So we are looking for the area of the right triangular prism. We first must start of by observing the lengths of each side. Once you have found out what is what multiply in order. First 12 x 5 = 60. Then multiply 13 x 15 which equals = 195. Finally you want to ad up the sums together to get 255 cm2.

To find more questions by me, click on my profile to view everyone I have helped. I hoped this could help you and have a fantastic day and grade : )

Answer:

3j+4

Step-by-step explanation:

yw :>

Answer:

3j + 4

Step-by-step explanation:

3(j+2)-2 Distribute 3 into (j+2)

3j+6-2

3j+4

Answer: -20,-19-,-15,0,4,16

Step-by-step explanation:

negative numbers work the opposite way as positive numbers when it comes to value for example 2 is greater then 1 but 1 is greater then -2

Answer:

198

Step-by-step explanation:

198

Answer:

They are equal.

Step-by-step explanation:

\(-\frac{7y}{2}\) = \(-\frac{7}{2} y\)

\(-\frac{7y}{2}\\\) · 2 = \(-\frac{7}{2} y\) ·2

\(-7y + 7y=-7y+7y\)

\(0=0\)

The total distances you traveled to reach your destination on each day of your three-day trip are as follows:

a) Day 1 = 40 miles

b) Day 2 = 30 miles

c) Day 3 = 11 miles.

The total distances are determined using proportions.

Proportion refers to the fractional value of the whole number or quantity.

a) Day 1:

The fractional distance traveled = ⁵/₈

The remaining distance to travel = 15 miles

15 miles = ³/₈ (1 - ⁵/₈)

Proportionately, the total distance = 40 miles (15 ÷ ³/₈)

b) Day 2:

The distance traveled = 18 miles

The remaining distance to travel = ²/₅

The distance traveled = ³/₅ (1 - ²/₅)

³/₅ = 18 miles

Proportionately, the total distance = 30 miles (18 ÷ ³/₅)

c) Day 3:

The distance traveled = ⁵/₁₁

The distance to travel = 6 miles

The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)

Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)

Learn more about proportions at https://brainly.com/question/1496357.

#SPJ1

Answer:

2682

Step-by-step explanation:

he walked 282 feet from below sea level and is now at ground level, so he increase by 282 then he continues 2400 feet, so he walked 282 in below sea level plus the 2400 feet above ground level, so 282 plus 2400 equals 2682

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Answer:

35

Step-by-step explanation:

4 x 2.5 for the triangles is 10

and half of 10 is 5  

5 + 5 = 10  

5 x 5 = 25  

25 + 10 = 35  

The answer is 35.

Answer:

A = 30cm²

Step-by-step explanation:

First, let's find the area of the triangle

Formula: 1/2 bh

The base is half of 5, which is 2.5

A = 1/2 (2.5)(4)

A = 5cm²

Next, let's find the area of the rectangle

Formula: bh

Base = 5cm

Height = 5cm

A = bh

A = (5)(5)

A = 25cm²

Now you add those two.

25 + 5 = 30cm²

A = 30cm²

Answer: Factors of 52 - 1, 2, 4, 13, 26, 52

Factors of 130 - 1, 2, 5, 10, 13, 26, 65, 130

Factors of Both - 1, 2, 13, 26

Step-by-step explanation:

I can't see the table, but hopefully the factors above will help you

Answer: 0.375

Step-by-step explanation:

We know that 3/4 of a cup of oats is equal to a full recipe and we're only making half of the full mix.

1) Convert 3/4 to a decimal in order to make the division easier

- 0.75

2) Divide 0.75 by 2

- 0.375

Hope this helps!

[7th Grader]

Answer:We know that 3/4 of a cup of oats is equal to a full recipe and we're only making half of the full mix.

1) Convert 3/4 to a decimal in order to make the division easier

- 0.75

2) Divide 0.75 by 2

- 0.375

Step-by-step explanation:

Answer:

2, 1

I hope you understand

Answer:

12.96

Step-by-step explanation:

9+1.34=10.34

1/2(3.5+1.74)=1/2(5.24)=2.62

10.34+2.62=12.96

Answer:

At least 9 times

Step-by-step explanation:

switch radius to circumference

0.9 —> 5.65487

Divide 50 by circumference

50/5.65487

Answer:

8.84193624257 times

So at least 9 times

Answer:

But what did i telly you

Step-by-step explanation:

Answer:

shade all numbers less than 6

shade all numbers to the left of 6

Step-by-step explanation:

i believe this is the answer because if you graph x<6, you can see that the shaded area is to the left of 6 (numbers less than 6).
Desmos graphing calculator helps

Answer:

3, & 6

Step-by-step explanation:

Answer:

141 in²

Obviously don't write 141 in² because they've already wrote the in² part for you

Answer:

Surface Area= 498 cm²

Step-by-step explanation:

To calculate the surface area of this composite shape, work out the area of each face and add them together (break this composite figure into two shapes)

- Calculate the areas of the different sized faces

7 x 7 = 49

12 x 7 = 84

12 x 7 = 84

- Now, multiply these areas be number of corresponding faces

49 x 2 = 98

84 x 2 = 168

84 x 2 = 168

- Add these areas together

98 + 168 + 168 = 434

Now do the same for the shape above it

2 x 2 = 4  →  4 x 2 = 8

2 x 7 = 14 → 14 x 2 = 28

7 x 2 = 14 → 14 x 2 = 28  = 64

Add the surface areas together : 434 + 64 = 498 cm²

I HOPE THIS HELPED YOU :)

Answer:

of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one

so:

a greater

b greater

c less

D greater

e equal

f less

g equal

Answers in bold:

========================================================

Explanation:

We have these three rules for scale factors

With those rules in mind, we have enlargements for these transformations.

All of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.

In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.

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

We also have these reductions

This is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.

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

And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.

The order doesn't matter for this subset, but the order will matter for the other batches of transformations.