a trucker is driving on the highway traveling 65 miles per hour write an equation that shows the relationship between the number of hours of highway travel x and the number of miles traveled 7 answer quickly for 20 points!!

Answer:

24 divided by 6= 4

Step-by-step explanation:

U

Answer:

running

Step-by-step explanation:

Answer:270

Step-by-step explanation:3/5 * 450  reduce the lowest term 3 * 90  calculate first two terms : 270

Answer:

\(y = -x - 3\)

Step-by-step explanation:

We are trying to get the equation \(3x + 3y = -9\) into the form \(y = mx+b\), aka slope-intercept form.

To do this we are trying to isolate y.

\(3x + 3y = -9\)

Subtract 3x from both sides:

\(3y = -9 - 3x\)

Rearrange the terms:

\(3y = -3x - 9\)

Divide both sides by 3:

\(y = -x - 3\)

Hope this helped!

The arrangements of the digits is an illustration of factorials

The digits of 7,444,000 can be arranged in 140 ways

The number is given as: 7,444,000

From the given number, we have the following parameters:

Total (n) = 7

n(4) = 3

n(0) = 3

So, the number (N) of arrangement is:

\(N = \frac{n!}{n(4)! * n(0)!}\)

Substitute known values

\(N = \frac{7!}{3! * 3!}\)

Evaluate the factorials

\(N = \frac{5040}{6 * 6}\)

Evaluate the quotient

\(N = 140\)

Hence, the digits of 7,444,000 can be arranged in 140 ways

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Answer:

60

Step-by-step explanation:

2y-5+85=180

(the angle between any two points in one line equals 180 degrees)

y=50

3x+55+95=180

x=10

x+y=60

Answer:

60

Step-by-step explanation:

\(3x + 55 = 85 \: (angles \: in \: linear \: pair) \\ \\ \implies \: 3x = 85 - 55 \\ \\ \implies \: 3x = 30\\ \\ \implies \: x = \frac{30}{3} \\ \\ \implies \: x = 10 \\ \\ \\ 2y - 5 = 95 \: (angles \: in \: linear \: pair) \\ \\ \implies \: 2y = 95 + 5\\ \\ \implies \: 2y = 100\\ \\ \implies \: y = \frac{100}{2} \\ \\ \implies \: y = 50 \\ \\ \\ x + y = 10 + 50 \\ \\ \huge \red{ \implies \: x + y = 60 }\)

the given function is

f(x) = -7x + 3

g(x) = x^2 + 4

(f•g)(x) = f(g(x))

put x = g(x) in the f(x) equation

fog(x) = -7(x^2 + 4 ) + 3

fog(x) = -7x^2 - 28 + 3

put x = 2

fog(2) = -7x2^2 - 25

fog(2) = -28 - 25

fog(2) = -53

thus the answer is option A

Answer: 76kg

Step-by-step explanation:

If the mass of sugar in one jar is 19kg, then the mass of 4 such jars of sugar can be found by multiplying the mass of one jar by 4:

Therefore, the total mass of 4 jars of sugar is 76kg.

__________________________________________________________

The mass of sugar is 19 kg. What is the total mass of 4 such jar of a sugar?

The total mass of four jars of sugar is 76 kg.

The total mass of four jars of sugar can be found by multiplying the mass of one jar by 4:

\(\large\rm{Total\: mass = 19\: kg \times 4 = \boxed{\rm{\:76\: kg\:}}}\)

\(\therefore\) The total mass of four jars of sugar is 76 kg.

- Mass is a measure of the amount of matter an object contains. It is a fundamental property of an object and is typically measured in units such as kilograms or grams. Mass is different from weight, which is the force of gravity acting on an object's mass. Mass is an intrinsic property of an object and remains constant regardless of its location, while weight can vary depending on the gravitational field it is in. Essentially, mass determines an object's resistance to acceleration or change in motion.

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Answer:

5/10 (0.5)

Turn the numbers into decimals.

1/5 = 0.20

3/10 = 0.30

Since all these numbers are in a fact family, add them.

0.20 + 0.30 = 0.5

You can make it into fraction form if you want.

0.5 = 5/10.

The answer is 5/10 or 0.5.

Hope this helps!

Answer:

50/100

Step-by-step explanation:

5/10 is equal to 50/100

Answer:

x=5/4

Step-by-step explanation:

Isolate x!

4x=5

x=5/4

Answer:

x = 5/4

Step-by-step explanation:

4x-5 = 0

Add 5 to each side

4x-5+5 = 0+5

4x = 5

Divide each side by 4

4x/4 = 5/4

x = 5/4

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

H²=B²+P²

20²=15²+18²

400=225+64

400≠289

No, it will not be able to make a right triangle.

Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.

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The complete question is given below:

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.

1. Will he be able to make a right triangle out of his fence? Why or why not?

Given this pair of equivalent ratios:

It is important to remember that equivalent ratios represent the same value, but they have different forms.

Equivalent ratios can be obtained by multiplying both parts of a ratio by a common number.

In this case, you can identify that:

Therefore, both parts of the original ratio can be multiplied by 5,000 in order to get the other ratio.

Hence, the answer is: They are equivalent ratios because they have the same value when they are simplified, and the second ratio can be obtained by multiplying both parts of the first ratio by 5,000.

Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.

Length is a measurement of distance or space from one point to another. It is typically measured in units such as meters, feet, or inches. Length is a scalar quantity, meaning it has magnitude but no direction. Length is a fundamental property of physical objects and can be used to measure the size of an object or the distance between two points.

To properly calculate the ladder length Mark needs, we must use the Pythagorean Theorem. The Theorem states that for the triangle formed by the ladder and the building, the square of the hypotenuse (the ladder length) is equal to the sum of the squares of the other two sides. Therefore, the ladder length Mark needs is equal to the square root of the sum of the squares of 5 feet and 12 feet, which is equal to the square root of 169, or 13 feet. Therefore, Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.

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If the rest of the question is " If Erica has at most $10 to spend on the cab ride, how far could she travel?" The answer fam is...... Erica can ride for 12.692 or 12.7 Miles

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Answer:

6 + x / 3 = 4

Step-by-step explanation:

sorry if this is wrong, i believe this is how it needed to be written!

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Solution

a) The parabola opens downward

b) x - intercept is: -6 , -2

y-intercept is: -3

c) Vertex is the turning point: (-4, 1)

d) The axis of symmetry is x = -4

Answer:

She has capped 4 correctly and broke 22.

Look at the paper for solution.

She needs a new job.

ANSWERS:

a. (5, 2)

b. -3 ≤ x ≤ 2    and    4 ≤ x ≤ 6

c. -5 ≤ x ≤ -3     and    6 ≤ x ≤ 7

d. 2 ≤ x ≤ 4

Maryam's total percentage score on her exam is 71%.

Percentage is the ratio of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %.

The first step is to determine the score on each paper.

Score on the first test = 65% x 120

(65 / 100) x 120  = 78

Score on the second test = 80% x 80

0.80 x 80 = 64

Total percentage score = (sum of scores / total score) x 100

Sum of scores = 64 + 78 = 142

Total score = 120 + 80 = 200

(142 / 200) x 100 = 71%

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Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer:

The population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

Step-by-step explanation:

The migration matrix is given as:

\(A= \left \begin{array}{cc} \\ C \\S \end{array} \right\left[ \begin{array}{cc} C&S\\ 0.94&0.06 \\0.02&0.98 \end{array} \right]\)

The population in the  year 2000 (initial state) is given as:

\(\left[ \begin{array}{cc} C&S\\ 500,000&700,000 \end{array} \right]\)

Therefore, the population of the city and the suburb in 2002 (two years after) is:

\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right\left[ \begin{array}{cc} 0.94&0.06 \\0.02&0.98 \end{array} \right]^2\)

\(A^{2} = \left[ \begin{array}{cc} 0.8848 & 0.1152 \\\\ 0.0384 & 0.9616 \end{array} \right]\)

Therefore:

\(S_0A^2=\left \begin{array}{cc} [500,000&700,000]\\& \end{array} \right\left \begin{array}{cc} \end{array} \right \left[ \begin{array}{cc} 0.8848 & 0.1152 \\ 0.0384 & 0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 500,000*0.8848+700,000*0.0384& 500,000*0.1152 +700,000*0.9616 \end{array} \right]\\\\=\left[ \begin{array}{cc} 469280& 730720 \end{array} \right]\)

Therefore, the population of the city in 2002 is 469,280 while the population of the suburb is 730,720.

The population of the city in 2002 is 442,080 while the population of the suburb is 674,080.

The populations are given as:

\(\mathbf{P_c = 500000}\) --- the population of the city in 2000

\(\mathbf{P_s = 700000}\) --- the population of the suburbs of the city in 2000

For the city, we have:

94% stays, while 6% moves out

For the suburbs, we have:

98% stays, while 2% moves out

Population is calculated using:

\(\mathbf{P =P_o r^t}\)

Where:

The population of the city is:

Population = Population that stays in the city in 2 years + Population that enters from the suburbs in 2 years

So, we have:

\(\mathbf{P = 500000 \times (94\%)^2 + 700000 \times (2\%)^2}\)

\(\mathbf{P = 442080}\)

The population of the suburb is:

Population = Population that stays in the suburb in 2 years + Population that enters from the city in 2 years

So, we have:

\(\mathbf{P = 700000 \times (98\%)^2+ 500000 \times (6\%)^2 }\)

\(\mathbf{P = 674080}\)

Hence, the population of the city in 2002 is 442,080 while the population of the suburb is 674,080.

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The graph of the line with slope 2/3 and passing through the point (3,-1) is given by

What is an equation of the line?

An equation of the line is a way of representing the set points which form a line in coordinates system. A basic equation of line is y=mx+c

We are given the slope of line as 2/3 and the line passes through the point (3,-1)

We substitute the values in slope intercept form we get

\(-1=\frac{2}{3}*3 +c\\c=-1-2\\c=-3\)

Substituting the value of c in the original equation we get

y=2/3x-3

Hence the plot the graph of the above equation

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