Ranger simplified this expression.

3(2.7x + 5) – 2(4x – 1.6)

What was Ranger’s simplified expression?

Answer:

\(\pi\) or 3.1

Step-by-step explanation:

The total area of the circle is \(3^2\pi\). The central angle of the shaded region is 40 degrees so we have to multiply \(3^2\pi\) by \(\frac{40}{360}\) or \(\frac{1}{9}\). 3 squared is 9 so 9\(\pi\) times \(\frac{1}{9}\) is just equal to \(\pi\). \(\pi\)=3.14159265... rounded to the nearest tenth is 3.1

Answer:

61/90

Step-by-step explanation:

Recall the half-angle identity for cosine:

cos²(x) = 1/2 (1 + cos(2x))

Then we can rewrite the integrand as

cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))

So we have

\(\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx\)

Next, recall the cosine product identity,

cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))

so that the integral is equivalent to

\(\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx\)

\(\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx\)

Computing the rest is trivial:

\(\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}\)

Answer:

This inequality is true when x<8

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

learn more about domain of a function: https://brainly.com/question/1369616

#SPJ9

Answer:

To determine the velocity of the roller coaster as it moves down, we use the kinematic equation which is expressed as 2gy = vf^2 - v0^2 where g is the gravitational acceleration, y is the elevation of the roller coaster, vf and vo are the final and initial velocity. We calculate as follows:

2gy = vf^2 - v0^2

Since it starts at rest, v0 is zero.

2gy = vf^2

vf = √2gy

vf = √2(9.8)(101)

vf = 44.5 m/s ----> option B

Step-by-step explanation:

Answer:

positive 9 hope this helped and a brainliest would be appreciated

Step-by-step explanation:

Answer:

y=1.7x-1.2

Step-by-step explanation:

-10x-17y=14

Subtract 10x to both sides

-17y=-10x+14

Divide by -17 on both sides

y=1.7x-1.2

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(area = DC \times EG\)

\(area = 27 \times 16\)

\(area = 432\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

76.97 cm!!

Step-by-step explanation:

The equation for this would be V=π(d/2)^2h.  So, V= π (pi) (3.5/2)^2 8, so just solve that and you get the answer above!!

Neither of the triangles are similar to the one given.

Two triangles are said to be similar if, they have congruent corresponding angles and sides are in equal ratios.

Given are three triangles, we need to find which of them are similar to the given one,

According to the definition of the similar triangles,

1) 10 / 5.5 = 10 / 5.5 ≠ 4 / 2

So, they are similar triangles.

2) 30 / 10 = 30 / 10 ≠ 14 / 4

Hence, Neither of the triangles are similar to the one given.

Learn more about similar triangles, click;

https://brainly.com/question/14926756

#SPJ7

Answer:

Step-by-step explanation:

a PERSON SHOULD SPEND AT LEAST 35 DOLLARS A WEEK ON COFFEE

Answer:

\( \\ from \: triangle \: applying \: pyth \\ \sqrt{ {3}^{2} + {3}^{2} } = 3 \sqrt{2} \\ from \: rectangle \:applying \: pyth \\ {x}^{2} = {7}^{2} - 3 \sqrt{2} \: units\)

Jannelle could go 4,720 miles hope this helps

Answer:

I dopnt know

Step-by-step explanation:

Im asking the same question lol

Answer:

(3d+1)-(d-4)=Profit

Step-by-step explanation:

So what you do here is you take the price you sold the table for, and subtract it from the price you bought it for.

This will end up giving you this equation:

3d+1-d+4=Profit

2d+5=Profit

Answer:

-76, -12, |-29|, 34, 54

Step-by-step explanation:

I hope this helps you out...

Answer:

-76, -12, 29, 34, 54

Step-by-step explanation:

Since the 29 is in absolute value bars it turns positive.  

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

Answer:

0.24

Step-by-step explanation:

Then the probability of a draw = 1- (p

Pr(Alan) = the probability of Alan winning = 0.31,

Pr(Alice) = the probability Alice will win = 0.45.

We are required to give probability of a draw.

= 1-(pr(alan) + pr(alice)

= 1-0.45+0.31

= 1 - 0.76

= 0.24

We have 24% probability of having a draw.

Answer:4

Step-by-step explanation:

but they said it was a different day and they didn’t need to be in a position lol I just got the message and they sent it

Answer:

4 bottles

Step-by-step

3 is 1/3 of 9 and 12/3 is 4 bottles

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

For more such question Algebraic  expression visit:

https://brainly.com/question/2164351

#SPJ8

Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

The solution is x > 3. The values of x are greater than 3.

It is a mathematical symbol that represent the non-equal comparison between different terms as well as other mathematical expressions. Inequality is various types such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤.

Given, 0.3 (x -4) > -0.3

at first, we will remove the parenthesis and multiply by the given factor

0.3 × x - 0.3× 4 > -0.3

0.3x - 1.2 > - 0.3

now we add 1.2 to both side in order to isolate the variable terms

0.3x - 1.2+1.2 > - 0.3 + 1.2

0.3x > 0.9

in the next both side is divided by 0.3

0.3x/ 0.3 > 0.9/ 0.3

x > 3

the above is the result

To know more about inequality visit

https://brainly.com/question/28823603

#SPJ1

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

Read more about box plot at

https://brainly.com/question/3473797

#SPJ1

Answer:

5x-4y=4 there hope this helps had the same problem

Answer: Choice D

y = (3/5)x + 2

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

Explanation:

Find the slope

m = (y2-x1)/(x2-x1)

m = (5-(-1))/(5-(-5))

m = (5+1)/(5+5)

m = 6/10

m = 3/5

Now use point slope form and solve for y

y - y1 = m(x - x1)

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

y + 1 = (3/5)(x + 5)

y + 1 = (3/5)x + (3/5)*5

y+1 = (3/5)x + 3

y = (3/5)x + 3 - 1

y = (3/5)x + 2

Answer:

6 3/5 would become 33/5

Step-by-step explanation:

2 + 4 = 6

2/5 + 1/5 = 3/5

6 * 5 = 30

30 + 3 = 33

33/5

Answer:

D.

Step-by-step explanation:

D is the best answer since you didn't provide a B. It's the one that makes the most sense.

Answer: I'm pretty sure it's C

Step-by-step explanation:

Most interest income is taxable as ordinary income on your federal tax return

Answer: D

Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.

So 150x(the number of tractors) + 1000(his pay each month)

Answer:

22 in.

Step-by-step explanation:

IN MY BRAIN

Answer:

.112 m by .157m OR 4.43 by 6.20 in

Step-by-step explanation:

The scale is 1:40, meaning that if the house plan shows 1 of something, the real life version is 40 times larger. Given this information:

4.5 m by 6.3 m is the ACTUAL SIZE.

Given this, we need to divide by 40 to get the room PLAN.

0.1125 by 0.1575 meters, OR 4.42913386 by 6.2007874 inches.

Simplifed,

.112 m by .157m OR 4.43 by 6.20 in

:)