WILL MARK BRAINLIEST IF CORRECT

Answer:

8 inches

Step-by-step explanation:

Answer:

36.75

Step-by-step explanation:

First is turn the percent into a decimal which would be 0.35.

Then multiply 0.35 with 105

Finally this would equal to 36.75

Note: Hope I got it right, if I didn't I am very sorry this is all I can really do. If I did get it wrong please comment and I'll try again.

The simplified expression of the expression given as (62)4 is 248

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

(62)4

Remove the bracket and rewrite the expression as a product expression

So, we have the following representation

(62)4 = 62 * 4

Evaluate the products

This gives

(62)4 = 248

The above expression cannot be further simplified

Hence, the solution is 248

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Step-by-step explanation:

For the 1st question, the answer is the 4th option.

For the 2nd question, the answer is 13 hours per gallon.

For the 3rd question,the answer is the 1st option.

For the 4th question, the answer is the 1st option.

For the 5th question, the answer is the 5th option.

Answer:

2

Step-by-step explanation:

3x^2

The coefficient is 3

The variable is x

The exponent is 2

A function is called bijective if it is one-to-one and onto.

To check one to one, let x1 = x2 , where x1, x2 belongs to R.

so, we can say that:

and

Given the condition that x1 and x2 are not equal to 2. So, the above equation implies that

So, it is a one-to-one function.

For onto function, let y= (3x + 4) / (x-2). Now, interchange x and y, and solve the equation fo y:

Here, the domain of the inverse of the function is R - {3}. But the function is R - {2} => R. So, it is not onto.

thus, the given function is not a bijection.

Answer:

(- \(\frac{8}{5}\), \(\frac{46}{5}\) )

Step-by-step explanation:

Given the2 equations

6 - 2x = y → (1)

14 + 3x = y → (2)

Substitute y = 14 + 3x into (1)

6 - 2x = 14 + 3x ( subtract 3x from both sides )

6 - 5x = 14 ( subtract 6 from both sides )

- 5x = 8 ( divide both sides by - 5 )

x = - \(\frac{8}{5}\)

Substitute x = - \(\frac{8}{5}\) into either of the 2 equations for the corresponding value of y

Substituting into (1)

y = 6 - 2(- \(\frac{8}{5}\) ) = \(\frac{30}{5}\) + \(\frac{16}{5}\) = \(\frac{46}{5}\)

solution is ( - \(\frac{8}{5}\), \(\frac{46}{5}\) )

The idea about space travel is supported: A. By explaining the risks to human space travelers.

The author of "Humans Should Stay Home and Let Robots Take to the Stars" supports the idea that space travel is more suited to robots by explaining the risks to human space travelers.

By highlighting the dangers and challenges faced by humans in space, the author makes the case that robots are better equipped to handle the harsh conditions and unknown environments of outer space , ensuring safety and success in exploration missions.

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you should invest approximately $500,000 today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years.

To determine how much you should invest today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years, we can use the formula for simple interest:

A = P(1 + rt)

Where A is the future value, P is the principal (the amount you should invest today), r is the interest rate, and t is the time in years.

We can rearrange the formula to solve for P:

P = A / (1 + rt)

Plugging in the values, we have:

P = 1,175,000 / (1 + 0.09 * 15)

P = 1,175,000 / (1 + 1.35)

P = 1,175,000 / 2.35

P ≈ $500,000

Therefore, you should invest approximately $500,000 today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years.

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Step-by-step explanation:

the slope of f(x) = 1

for every increase of x by 1 also y increases by 1.

the slow of g(x) = -2

for every increase of x by one y decreases by 2.

so, we see, as

g(x) = k × f(x)

k = g(x) / f(x) = slope g / slope f = -2/1 = -2

why ? because both functions are linear functions (lines).

they look like

y = ax + b

with a being the slope of the line.

so, when multiplied by k, this is kax + kb, and we see k as factor already in the slope of the line itself.

Answer: its 12 and 8 10 12 14 16 either of those

Step-by-step explanation:

Therefore, the ratio of girls to boys in the auditorium is 8:11.

The ratio of girls to boys in the auditorium can be calculated by dividing the number of girls by the number of boys. In this case, there are 16 girls and 22 boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 16 / 22

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.

Ratio of girls to boys = 8 / 11

This means that for every 8 girls, there are 11 boys in the auditorium

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Answer:

A, exponential growth.

Answer: A

Step-by-step explanation:

Exponential growth is when the graph slowly rises to the top. This graph is also slowly rising to the top, from -3 to up to the number 9. Therefore, your answer to the question is exponential growth.

Answer:

(1) x=BC (2) h=A+-πr^2 (3) ef+-ab (4) x=y+-3 (5) x=C+-B

                           2πr              d                                 A

Step-by-step explanation:

See above

A poster is being designed that is to contain 2 150. In of printed material with margins of 2 inches at the top and bottom and 3 inches at each side. the dimensions that will minimize the amount of paper used is that should be 12 inches wide by 6 inches tall.

The margins are 2 inches at the top and bottom and 3 inches at each side. The margins are then added to the two 150s, making a total width of 12 inches and a total height of 6 inches. This is the minimum amount of paper that can be used for the poster.   In order to minimize the amount of paper used, it is important to consider the size of the margins.

The margins should be kept as small as possible in order to maximize the amount of space available for the printed material. Generally speaking, a margin of 1 inch is sufficient for most printed materials. If a larger margin is necessary, then the overall dimensions of the poster should be adjusted accordingly.

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Answer:

9(4a minus 3) is equivalent to 36a minus 27.

Answer: A. 7

Step-by-step explanation:

3y-2=19

3y-2+2=19+2 (add 2 to both sides)

3y=21

3y/3=21/3 (divide by 3 on each side)

y=7

In the trigonometric function, f(x) = 7cos[2π(x + 9)/7] + 1, the direction and how many units is is shifted vertically is 1 unit up

A trigonometric function is an equation containing a trigonometric ratio

Given the trigonometric function f(x) = 7cos[2π(x + 9)/7] + 1, we want to compare it with the trigonometric equation f(x) = acos[2π(x + c)/b] + d, to find the vertical shift of the graph. We proceed as follows

Since we know that the general equation of a trigonometric function is  f(x) = acos[2π(x + c)/b] + d where

Comaring both equations, we have that

So, we see that since d = + 1, we see that the function f(x) = 7cos[2π(x + 9)/7] + 1 is shifted vertically upwards by 1 unit.

So, the direction and how many units is is shifted vertically is 1 unit up

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The height of the flagpole when marci who is 5 feet tall is standing in lines of sight to the top and bottom of the pole is 20 feet.

To estimate the height of the flagpole, we can use trigonometry.

Let's call the height of the flagpole "h" and the distance from Marci to the base of the pole "d".

We can set up a right triangle with the flagpole as the hypotenuse, Marci's height as one leg, and the distance from Marci to the base of the pole as the other leg.

Using the tangent function, we can say:

tan(θ) = perpendicular/base

In this case, the opposite is Marci's height (5 feet) and the adjacent is the distance from Marci to the base of the pole (d).

We don't know the angle yet, but we can use the fact that the angle formed by Marci's lines of sight to the top and bottom of the pole is the same as the angle formed by the top of the pole, Marci's eye, and the base of the pole (since these are alternate interior angles).

Let's call this angle "x".
So, we have:
tan(x) = 5/d
To find the height of the pole, we need to use another trig function. Since we know the adjacent and the hypotenuse, we can use the cosine function:
cos(x) = base/hypotenuse

In this case, the adjacent is still d and the hypotenuse is h + 5 (since Marci's height is included in the overall height of the flagpole).

So we have:

cos(x) = d/(h + 5)

We can rearrange this equation to solve for h:

h = (d/cos(x)) - 5

Now we just need to find the value of x.

We know that the tangent of x is 5/d, so we can use the inverse tangent function (tan^-1) to find x:

x = tan^-1(5/d)

Plugging this into the equation for h, we get:

h = (d/cos(tan^-1(5/d))) - 5

We can simplify this a bit by using the identity:

cos(tan^-1(x)) = 1/√(1 + x^2)

So we have:

h = (d * √(1 + (5/d)²)) - 5

Now we just need to plug in the values given in the problem. Let's say that Marci stands 20 feet away from the base of the pole. Then we have:

h = (20 * √(1 + (5/20)²)) - 5

h = 19 feet (rounded to the nearest foot)

So the answer is (b) 20 feet.

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The graph is given below.

The area of the square TUVW is 9 square units.

We have,

The square TUVW with vertices

T = (-2, -4)
U = (-5, -4)

V = (-5, -1)

W = (-2, -1)

Now,

To find the area of the square TUVW, we need to find the length of its sides first.

Using the distance formula, we can find the length of TU:

TU = √((Ux - Tx)² + (Uy - Ty)²)

= √((-5 - (-2))² + (-4 - (-4))²)

= √(9)

= 3

Since TUVW is a square, all of its sides have the same length,

So UV = VW = WT = 3 as well.

The area of the square is the length of one side squared.

Area = side²

= 3²

= 9

Therefore,

The area of the square TUVW is 9 square units.

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When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Answer:

Interest rate = 1.363% (Approx.)

Step-by-step explanation:

Given:

Amount invested P = $220,000

Amount after 10 year = $250,000

Number of year = 10 year

Find:

Interest rate

Computation:

A = P + I

Amount of interest = $250,000 - $220,000

⇒ Amount of interest = $30,000

Amount of interest = PRT

⇒ 30,000 = (220,000)(R)(10)

⇒ 30,000 = (2,200,000)(R)

⇒ R = 0.013636

Interest rate = 1.363% (Approx.)

Step-by-step explanation:

To find the probability that a randomly selected American over the age of 18 drinks coffee in the morning or has cereal for breakfast, we can use the formula:

P(C or B) = P(C) + P(B) - P(C and B)

where:

P(C) = the probability of drinking coffee in the morning

P(B) = the probability of having cereal for breakfast

P(C and B) = the probability of doing both

From the problem, we know that:

P(C) = 0.65

P(B) = 0.25

P(C and B) = 0.10

Plugging these values into the formula, we get:

P(C or B) = 0.65 + 0.25 - 0.10

P(C or B) = 0.80

Therefore, the probability that a randomly selected American over the age of 18 drinks coffee in the morning or has cereal for breakfast is 0.80, or 80%.

Answer:

c

Step-by-step explanation:

Answer:

b+2.673

Step-by-step explanation:

substitute the value of the variable into the equation and simpilfy

Answer:

8.807

Step-by-step explanation:

1. 6.134 + (5.68 - 3.007)

   6.134 + 2.673

   = 8.807 or \((\frac{8807}{1000}, 8\frac{807}{1000} )\)

Answer:

Poorly formated. Please fix the question so it is more understandable!

The correct answer is (b) The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM.

What is a temperature simple definition?

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The complete question is-

The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this information at certain times during a given day. The following temperatures were recorded on a January day in New York City.Time of Day10 AM12 Noon2 PM4 PM6 PM8 PM10 PMTemperature (F)30353636343028Over which period(s) of time is the average rate of change zero? What, if anything, can you conclude about the actual temperature fluctuation within this period?a.The average rate of change of temperature is 0 from 2 PM to 4 PM; Nothing can be concluded about the actual temperature fluctuation.b.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.c.The average rate of change of temperature is 0 from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.d.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; The conclusion that can be drawn is that the temperature will not change for that time period.

Answer:

Los números son:

43 y 165

Step-by-step explanation:

Planteamiento:

a + b = 208

a - b = 122

Desarrollo:

de la segunda ecuación del planteamiento:

a = 122 + b

sustituyendo este último valor en la primer ecuación del planteamiento:

(122+b) + b = 208

2b = 208 - 122

2b = 86

b = 86/2

b = 43

a = 122 + b

a = 122 + 43

a = 165

Comprobación:

165 + 43 = 208

165 - 43 = 122