solve for x using the Pythagorean Theorem.

If the ambient temperature is 0 then the damage index would be 14. Then the correct option is D.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and the damage index depends on the ambient temperature.

He develops the equation y = –23x + 14 to model the relationship.

where y be the damage index and x be the temperature.

At zero temperature, the damage index will be

y = –23 (0) + 14

y = 14

The damage index is 14.

More about the linear system link is given below.

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Answer:

12/4 is equal to 15/5

The next equality after 12/4 is 15/5.

Answer:

15

Step-by-step explanation:

12/4=3, so x/5=3.

5x3=15

Answer:

A, D and F

Step-by-step explanation:

3√6 = √3^2*6

3√6 = √54

Applicable answers

A. √54 = √27*2 = √27 * √2

D. 3√6 = √54

F. √54 = √9*6 = √9 * √6

Answer:

A.

Step-by-step explanation:

Area of triangle is the length*width/2 => 4*4/2=8

For the 2nd triangle, we can separate it into two right triangles by cutting it down the middle. We can find the width of one triangle by taking the base of the first one we worked with and divide it by 2. 4/2 is 2. Multiply this by 3 to get the area, and divide by 2 again. 2*3/2=3. 3

So our answer is 8+3+3=14.

This quadrilateral is separated into two triangles.

[tex]\sf area \ of \ triangle = \dfrac{1}{2} * base * height[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} * 4 * 4 +\dfrac{1}{2} *4 * 3[/tex]

[tex]\hookrightarrow \sf14 \ cm^2[/tex]

Answer:

1.5 pints.

Step-by-step explanation:

Solution,

Given,

1 cup = 8 oz.

2 cup = 1 pint.

So,

24 oz = 1 cup / 8 = 3 cup.

Then,

We have,

3 cup = 1 pint / 2 cups = 1.5 pints.

The probability that a city bus is ready for service when needed is 84%. The probability that a city bus is ready for service and has a working radio is 67%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent. Show your work

79.76%

Answer:

a) El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.

b) El radio del Sol es 109.245 veces mayor que el radio de la Tierra.

c) El radio del Sol es 400.711 veces mayor que el radio de la Luna.

Step-by-step explanation:

a) ¿Cuántas veces es mayor el radio de la Tierra que el de la Luna?

En esta pregunta nos piden la razón del radio medio de la Tierra al radio medio de la Luna. Las unidades están en kilómetros:

[tex]r = \frac{6.371\times 10^{3}\,km}{1.737\times 10^{3}\,km}[/tex]

[tex]r = 3.668[/tex]

El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.

b) ¿Cuántas veces es mayor el diámetro del Sol que de la Tierra?

El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón, definida en este caso como la razón del radio medio del Sol al radio medio de la Tierra. Las unidades están dadas en kilómetros:

[tex]r= \frac{6.96\times 10^{5}\,km}{6.371\times 10^{3}\,km}[/tex]

[tex]r = 109.245[/tex]

El radio del Sol es 109.245 veces mayor que el radio de la Tierra.

c) ¿Cuántas veces es mayor el diámetro del Sol que el de la Luna?

El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón. Una forma sintética de obtener la razón consiste en obtener el producto de las razones encontradas en a) y b). Es decir:

[tex]r = 3.668\times 109.245[/tex]

[tex]r = 400.711[/tex]

El radio del Sol es 400.711 veces mayor que el radio de la Luna.

Complete question :

Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 dollars, in addition to a constant fee for each vertical meter climbed. For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400 dollars. Let F(d) denote the fee of a trip F (measured in dollars) as a function of the vertical distance climbed d (measured in meters). Write the function's formula.

Answer:

F(d) = $100 + $0.1d

Step-by-step explanation:

Given the following :

Total Cost of mountain climbing :

Initial fee + constant fee per vertical meter climbed

Initial fee = $100

Total cost of climbing the Shira volcanic cone = $400

Height of Shira volcanic cone = 3000 m

The fee of a trip ; F(d) ; where d = distance

Let constant fee per vertical meter = p

F(d) = $100 + 3000 * p

$400 = $100 + 3000p

$400 - $100 = 3000p

$300 = 3000p

p = 300/3000

p = $0.10

Hence, the fee for a trip:

F(d) = $100 + $0.1d

Answer:

y=100+0.1x

Step-by-step explanation:

khan academy

Hello !

________

[tex]\sf{9d \: + \: 6e}[/tex]

________

[tex]\sf{Rewrite \: as:}[/tex]

[tex]\sf{= 3 \: ^. \: 3d \: 3 \: ^. \: 23e}[/tex]

[tex]\sf{Factor \: out \: common \: term \: 3}[/tex]

[tex]\sf{= 3(3d \: + 2e)}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Dollixna ~

Answer:

The Answer is D

Step-by-step explanation:

y-intercept is where the line on your graph crosses through the y-axis

Answer:

1.2 × 10^6 hours

Step-by-step explanation:

Given the following :

equation relating the distance traveled in miles, d, to the number of hours flying, t ;

t=1500d

How long will it take the airplane to travel 800 miles

Here, d = 800 miles

Hence,

t = 1500(800) = 1,200,000 hours

t = 1.2 × 10^6 hours

Answer:

215 in³

Step-by-step explanation:

This is just for math problems.

The 1970 Dodge Challenger could have engines ranging from 225 cubic inches to 440 cubic inches.

What is the difference in displacement between the smallest and largest engines?

Now it's a math problem.

440 - 225 = 215

Answer: 215 in³

Answer:

7

Step-by-step explanation:

5, 5, 6, 7, 7, 7

7 appears the most

Answer:

The mode is 7

Step-by-step explanation:

Add all of these numbers and divide it by 8 to get 7

Answer:

a. [tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]

b. [tex]x(t) = 6\frac{2}{3} \cdot c \cdot t[/tex]

c. [tex]c = \dfrac{3}{8} \ g/L[/tex]

Step-by-step explanation:

a. The volume of water initially in the fish tank = 15 liters

The volume of brine added per minute = 5 liters per minute

The rate at which the mixture is drained = 5 liters per minute

The amount of salt in the fish tank after t minutes = x

Where the volume of water with x grams of salt = 15 liters

dx =  (5·c - 5·c/3)×dt = 20/3·c = [tex]6\frac{2}{3} \cdot c \cdot dt[/tex]

[tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]

b. The amount of salt, x after t minutes is given by the relation

[tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]

[tex]dx = 6\frac{2}{3} \cdot c \cdot dt[/tex]

[tex]x(t) = \int\limits \, dx = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt[/tex]

[tex]x(t) = 6\frac{2}{3} \cdot c \cdot t[/tex]

c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;

[tex]x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10[/tex]

[tex]6\frac{2}{3} \times c =\dfrac{25 \ grams }{10}[/tex]

[tex]c =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} } = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200} \ g/L = \dfrac{3}{8} \ g/L[/tex]

[tex]c = \dfrac{3}{8} \ g/L[/tex]

Answer:

it is 11 i believe if not sry delete my answer

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

you know how many marbles there are in the bag so you add the number which is 9 so this shkws it will be something out of 9 since that is the total so now there are 4 blue marbles so you will just have to 4/9 I think thats how I would go on doing it.

Answer:

D

Step-by-step explanation:

In order to figure out which of the 4 is a function, you must perform the vertical line test for each. No vertical line should intersect the graph of the relation at more than one point. D is the only one that doesnt hit two points when performing the vertical line test.

Since there are unique outputs for every point of x-axis so it represents a fucntion. Hence option D is correct.

Use the concept of fucntion is defined as:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Since we know that in a fucntion,

For each element of the domain, there is only one output.

Therefore,

For Figure A:

There are two outputs for each value of the positive x-axis.

This is not a function.

For Figure B:

There are outputs for x = 3,

Hence this is also not a fucntion.

For Figure C:

For a circle, there are always two puts,

Hence, This is also not a fucntion.
Figure D:

W can see that for each value of x-axis, there is a unique output,

Hence this is a function. So option D is correct.

To learn more about the function visit:

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#SPJ6

Step-by-step explanation:

the answer is the f^-2(x)=2x+2

over

4

Answer:

the last one

Step-by-step explanation:

do you need an explanation?

Answer:

B

Step-by-step explanation:

Since 3 symbols represent 18 books, half of the symbol is 3. 18+3=21

Answer:

Step-by-step explanation:

Vic's cookies having a ratio of flour to butter of 250/170 contains less

butter than Imani's cookies, 750/630, what Vic will think is therefore;

(A) Imani's cookies have too much butter

The quantity of flour per 170 grams of butter in Vic's cookies = 250 grams

The amount of flour Imani uses for every 630 grams of butter = 750 grams

Required:

What Vic will think about the amount of butter in Imani's cookies

Solution;

[tex]Ratio \ of \ butter \ per \ gram \ of \ flour \ in \ Vic's \ cookies = \dfrac{170 \, g}{250 \, g} = \dfrac{17}{25} = \mathbf{0.68}[/tex]

[tex]Ratio \ of \ butter \ per \ gram \ of \ flour \ in \ Imani's\ cookies = \dfrac{630\, g}{750\, g} = \dfrac{17}{25} = \mathbf{0.84}[/tex]

Imani's cookies contains more cookies than Vic's cookies, what Vic will

think of the amount of butter in Imani's cookies is therefore;

(A) Imani's cookies have too much butter

Learn more about fractions here:

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Answer:

Step-by-step explanation:

the answer is A ^^

Answer:

(x - 36) is the measure of the angle A  

Step-by-step explanation:

Answer:

20 is 12 1/2

21 is 11 1/5

Step-by-step explanation:

Answer:

The data is:

Number of nickels = 246

Number of dimes = 312

Number of quarters = 204.

Now, in your group there are N people.

Dividing the coins into N people, you find that each one received the same amount of each type of coin. Then the quotient between each number of coins and N must be a whole number.

Now, you can see that the 3 numbers are even, so we know that N must be even.

For example, if N = 2, we could divide the 3 numbers of coins and get an integer in each case, but this is worded as "You and some friends" so N must be larger than 2.

Try with the next even integer:

N = 4.

nickels: 246/4 = 61.5

61.5 is not an integer: Then N can not be 4.

The next even number is N = 6.

nickels: 246/6 = 41

dimes: 312/6 = 52

quarters: 204/6 = 34

In each case we have integers, this means that 6 divides the 3 numbers of coins, so each person can receive the same amount of coins.

The we can conclude with:

There are 6 persons in the group.

Each person gets 41 nickels, 52 dimes and 34 quarters.

Step-by-step explanation:

Take the average of the two points that are on each side of the shapes.

--> to find the circle's number, 1+0/2 = 0.5

triangle = 3+2/2 = 2.5

star = 4+3/2 = 3.5

Answer:

354

Hope this helps! Please mark Brainliest!

Answer:

the answer is 354

60% = 0.6/.6

590 x .6 = 354