Find the value of
(-3)
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The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south.

In this question we suppose that each boat travels at constant velocity. In this case and dimensionally speaking, the speed ([tex]v[/tex]), in miles per hour, is equal to the traveled distance ([tex]s[/tex]), in miles, divided by time ([tex]t[/tex]), in hours. Then, this problem can be represented by the following expression:

[tex]\frac{200}{x-1} = \frac{160}{x}[/tex]   (1)

Now we clear [tex]x[/tex] within (1):

[tex]200\cdot x = 160\cdot (x-1)[/tex]

[tex]x = 4[/tex]

The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south. [tex]\blacksquare[/tex]

The statement is incomplete and poorly formatted. The complete statement is shown below:

Two boats leave a dock at the same time, but they are traveling in opposite directions at same speed. The longest time either boat is capable of traveling without stopping is 6 hours. Boat F travels 200 miles north in [tex]x-1[/tex] hours, and Boat G travels 160 miles south in [tex]x[/tex] hours. How much time does each boat travel?

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Answer:

g(x) = (x - 1)^2 + 2.

Step-by-step explanation:

1 unit to the right x---> (x - 1)

2 units up ------  f(x) moves up --->  + 2

answer is (x - 1)^2 + 2

Answer:

624.396

Step-by-step explanation:

I did the math myself XD

Answer:

20 designs

Step-by-step explanation:

Some websites have limited data and bytes to hold, so she might have to have one theme, 5 fonts, and 2 background colors to look nice. 1 × 5 × 2 = 10. Add all the other background colors and fonts and themes and divide them by 10.

Therefore, she can create about 20 designs

Answer:

Step-by-step explanation:

[tex]f(x) = 2^{x}[/tex]

translate 3 units up will change the y coordinate so will add 3 to y or f(x)

[tex]f(x) = 2^{x} +3[/tex]

translate 4 units to the left will change the x coordinates so will add 4 to the x to move towards left

[tex]f(x) = 2^{x+4} +3[/tex]

Answer:

[tex]x = -9[/tex]

Step-by-step explanation:

Given equation:

[tex]25^{2x+3} = 125^{2x+8}[/tex]

Convert 25 and 125 to base 5:

[tex]\implies (5^2)^{2x+3} = (5^3)^{2x+8}[/tex]

Apply exponent rule  [tex](a^b)^c=a^{bc}[/tex]

[tex]\implies 5^{2(2x+3)} = 5^{3(2x+8)}[/tex]

If [tex]a^{f(x)}=a^{g(x)}[/tex] then [tex]f(x)=g(x)[/tex]:

[tex]\implies 2(2x+3) = 3(2x+8)[/tex]

Expand:

[tex]\implies 4x+6 = 6x+24[/tex]

Subtract 6x from both sides:

[tex]\implies -2x+6 = 24[/tex]

Subtract 6 from both sides:

[tex]\implies -2x=18[/tex]

Divide both sides by -2:

[tex]\implies x=-9[/tex]

Let's solve up

[tex]\\ \rm\rightarrowtail 25^{2x+3}=125^{2x+8}[/tex]

[tex]\\ \rm\rightarrowtail 5^{2(2x+3)}=5^{3(2x+8)}[/tex]

[tex]\\ \rm\rightarrowtail 5^{4x+6}=5^{6x+24}[/tex]

[tex]\\ \rm\rightarrowtail 4x+6=6x+24[/tex]

[tex]\\ \rm\rightarrowtail -18=2x[/tex]

[tex]\\ \rm\rightarrowtail x=-9[/tex]

Answer:

5(t+6). I think this may helps you

The total length of the trip is approximately 700 miles as per the concept of percentage.

To find the total length of the trip, we need to determine the distance covered before Ella fell asleep and then calculate the whole trip's length.

Let's denote the total length of the trip as "T" miles.

Ella slept through the last 14% of the trip, so she was awake for the first 100% - 14% = 86% of the trip.

The distance covered before Ella fell asleep is 86% of the total trip's length:

86% of T = 0.86T

We know that Ella fell asleep after they had traveled 602 miles, so we can set up the following equation:

0.86T = 602

To find the total length of the trip, we solve for T:

T = 602 / 0.86

T ≈ 700

The total length of the trip is approximately 700 miles. Ella's family traveled this distance, and Ella fell asleep after they had traveled 602 miles, which is 86% of the total trip's length.

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Scientific notation is the way through which a very small or a very large number can be written in shorthand. The quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

We know we need to divide 2.5×10⁻³ by 7.1×10⁷. Therefore, if we divide the two numbers the solution will be,

[tex]\dfrac{2.5 \times 10^{-3}}{7.1 \times 10^7}\\\\ = \dfrac{2.5}{7.1} \times 10^{-3-7}\\\\= 0.35211 \times 10^{-10}\\\\= 3.5211 \times 10^{-11}[/tex]

Hence, the quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

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Answer:

A. The E indicates that the solution is given in scientific notation.

B. The coefficient is 3.5211.

D. The solution can be written in scientific notation as 3.5211 × 10^-10

Step-by-step explanation:

Edge 2023

Answer:

15/56

Step-by-step explanation:

multiply the top fractions by making the equation the following

3x5

-------

8x7

_________________________

3x5 =15

8x7= 56

hope this helps :)

The solution to the product of fractions is 13/56

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

3/8 * 5/7

Evaluate the product of 3 and 5

So, we have

3/8 * 5/7 = 13/8 * 1/7

Evaluate the product of 8 and 7

So, we have

3/8 * 5/7 = 13/56

Hence, the solution is 13/56

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Answer:

B. $34,086

Step-by-step explanation:

did the math

The total amount of annual take-home pay of Cynthia is $34,086.25

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Cynthia earns $41,875 annually.

If the Canadian government levies an income tax of 18.6% on Cynthia’s tax bracket.

It can be calculated as

41,875 × 18.6%

41,875 × 18.6/100 = 7,788.75

The annual take-home pay

41,875 - 7,788.75 = $34,086.25

Thus, The total amount of annual take-home pay is $34,086.25.

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The value of variable t =8.34.

We have  solve the equation  [tex]\frac{t}{3} = 2.78[/tex]

A statement that the values of two mathematical expressions are equal.

We will use the steps below to solve this equation

First, multiply by 3 on both-side of the equation.

[tex]\frac{t}{3} \times 3= 2.78 \times 3[/tex]

[tex]t=8.34[/tex]

[tex]t = 8.34[/tex]

We can further substitute 8.34 for t to check the correctness of the solution that is,

[tex]\frac{8.34}{3}= 2.78[/tex]

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Answer: 107 meters

Step-by-step explanation:

There are 2 ways to solve this:

1. The formula for arc length is: arc length = angle (in radians) * radius.

Thus, convert 123 degrees to radians by multiplying it by (pi/180), and then multiply this number by 50 (half of the diameter is the radius) in order to get 107.

2. Find the circumference of the track using C = pi*diameter and get 314.16. Then, set up a proportion: 314.16 meters / 360 degrees = x meters / 123 degrees and solve to get 107 :)

perimeter = turn of the figure

P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36

the triangle has 2 équal sides => isosceles

and 1 angle is 60° so the triangle is equilateral

Answer:

I need to know the dimensions to solve

Step-by-step explanation:

60° + 80° + y = 180° ( being straight angle )

140° + y = 180°

y = 180° - 140°

y = 40°

Broker q’s commission with a charge of $32.50 will be $11.50 less than broker p’s commission of 4.4%

A bond is a fixed-income instrument that represents a loan made by an investor to a borrower.

Par value of bond = $1,000

Commission on this by broker p= 4.4% = 1000*(4.4)/100= $44

So, the total price spent to purchase this bond = $1044

Par value of bond = $1,000

Commission on this by broker q= $32.50

So, the total price spent to purchase this bond =1000+32.50 = $1032.50

Difference between both deals = 1044-1032.50 = $11.50

Therefore, broker q’s commission will be $11.50 less than broker p’s.

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Answer:

C. Broker Q's commission will be $13.56 less the Broker P's.

Step-by-step explanation:

I just took the test and got it right.

check the answer in the solution part.

[tex]Solution:\ f(x)=-6x-3.\ when\ x=0.\ f(x)=-3[/tex]

                 [tex]h(x)=2\ cos(x+\pi)-1\ when\ x=0.h(x)=-3\\ So\ we\ can\ know\ \left|-3\right|=\left|-3\right|\ so\\ the\ two\ functions\ has\ the\ same\\ y-intercepts.[/tex]

I hope this helps you

:)

Answer:

1 = 123 degrees

Step-by-step explanation:

A Triangle = 180 degrees

A flat line = 180 degrees

To solve this, we need to figure out the triangle first :)

60 + 63 + t = 180

123 + t = 180

180 - 123 = 57

Now that we know the triangle, we can figure out x :)

180 - 57 = 123

1 = 123

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

Monday he is left with 20,

Tuesday he will start with 20 and end with 10

Wednesday he will start with 10 and end with 5

Thursday he will Start with 5 and end with 2.5

Friday Start with 2.5

which is >3

Answer:

D) Friday

Hope it helps...

Answer:  = 2(7 + 3) ^2= 2 * 10^2= 200

Answer:Its A, Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.

Step-by-step explanation:Did the K12 quiz

we can always get the common ratio of a geometric sequence by simply dividing the current term by the previous term, in this case for the sake of simplicity let's divide 2/3 by 2, so  

[tex]\cfrac{2}{3}\div 2\implies \cfrac{2}{3}\div \cfrac{2}{1}\implies \cfrac{2}{3}\cdot \cfrac{1}{2}\implies \cfrac{1}{3}\impliedby \textit{common ratio}[/tex]

so the sequence more or less looks like   [tex]2~~,~~\cfrac{2}{3}~~,~~\cfrac{2}{9}~~,~~\cfrac{2}{81}~~,~~\cfrac{2}{243}[/tex]

so we'd want the sum of the first 5 terms

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio} \end{cases} \\\\\\ S_5=2\left( \cfrac{1~~ - ~~(\frac{1}{3})^5}{1~~ - ~~\frac{1}{3}} \right)\implies S_5=2\left( \cfrac{~~\frac{242}{243}~~}{\frac{2}{3}} \right)\implies S_5=\cfrac{242}{81}\implies S_5=2\frac{80}{81}[/tex]

Answer add all the numbers  both sides then you put them in a caculator and what you do is put all the numbers you have in the question in the caculator and yur done

Step-by-step explanation:

Check the picture below.

Make sure your calculator is in Degree mode.

[tex]\mathsf\blue{♧ANSWER♧}[/tex]

Area = length × width

[tex] \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}[/tex]

[tex] \mathsf \blue{10.125 \: square \: units}[/tex]

Answer:

Step-by-step explanation:

Answer:

1. 200

2. 50

Step-by-step explanation:

1. you put 10 over 5 as a proportion with x over 100 on the other side

2. you put 5 over 10 as a proportion with x over 100 on the other side

This isn't my work, though it's the answer to your question.

Answer:

The weight of an object when the mass is 10 kg will be 30 N.

Step-by-step explanation:
8/10 = 24/x

Cross multiply

8x = 24 × 10

8x = 240

x = 240/8

x = 30

Answer:

I’m just answering for him to get brainliest :)

Step-by-step explanation: