if it takes you one hour and thirty minutes to drive 87 miles, find your average speed

Answer:

It is just because f(9x-4) is a subtraction so it goes to the right.

Then the f(x+3) is addition so it goes to left.

Step-by-step explanation:

It is like the opposite of their signs the adding is left, and the subtraction is right.

Answer:

f(x) * g(x) =(7x-9)(2x+1)

=14x^2+7x-18x-9

=14x^2-11x-9

Answer:

71/100

Step-by-step explanation:

:)

Answer:71/100

Step-by-step explanation:

0.71/1=(0.71×100)/1×100=71/100

Can't reduce it any futher

Answer:

g(2) = 14

Step-by-step explanation:

g(x)=x^2+5x

Find the value of the function

Let x=2

g(2) = 2^2 +5(2)

      = 4 + 10

       = 14

The the type ii error is D: "There is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is 10 gallons."

Type II error occurs when the null hypothesis is not rejected even though it is false. In this case, the null hypothesis is that the capacity of Anna's car gas tank is 10 gallons, and the alternative hypothesis is that it is not 10 gallons. The correct answer indicates that there is insufficient evidence to reject the null hypothesis, which means that Anna believes the capacity of her car's gas tank is not 10 gallons, but in reality, it is 10 gallons. Therefore, the correct answer is option D.

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Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

f ( -4) = 5( 2 -3×4) = 5(2-12) = 5× (-10) = -50

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

Answer: 44 inches

Step-by-step explanation:

You didn't write your question well but I'm guessing that you want to.find the circumference of a circle.

The circumference of a circle = 2πr

= 2 × 22/7 × 7.

= 2 × 22

= 44inches

The circumference is 44 inches

Answer:

44

Step-by-step explanation:

Answer:

Question 4x-8/2=10       Answer X=7

Step-by-step explanation:

          \(\frac{2\left(4x-8\right)}{2}=10\cdot \:2\)

        4x-8=20

        4x-8+8=20+8

        4x=28

          \(\frac{4x}{4}=\frac{28}{4}\)

                       X= 7                                

Hope this helps

Pls mark brainliest

The probability that the plant died because the neighbor forgot to water it is (1 - q) x (1 - %).

Let p = the probability that the plant will die without water, q = the probability that the plant will die with water, and r = the probability that the neighbor will remember to water the plant.

The probability that the plant died because the neighbor forgot to water it is equal to the probability that the plant would have survived had the neighbor remembered to water it, multiplied by the probability that the neighbor did not remember to water it.

P(plant died due to neighbor not watering) = P(plant survived with neighbor watering) x P(neighbor not remembering)

= (1 - q) x (1 - r)

= (1 - q) x (1 - % certain the neighbor will remember)

= (1 - q) x (1 - % certain)

= (1 - q) x (1 - %)

Therefore, the probability that the plant died because the neighbor forgot to water it is (1 - q) x (1 - %).

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Answer: true

Step-by-step explanation:

The good Samaritan law allows you to help people and not be liable for trying to do so.

In the First quadrants and the third quadrants have the same sign of the x-coordinates and the y-coordinates which is I (+; +), III (−; −).

According to the statement

we have to find that the in In which quadrants do the x-coordinates and the y-coordinates have the same sign.

For this purpose, firstly we know that the

Quadrants are The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. These are often numbered from 1st to 4th and denoted by Roman numerals.

And according to the Cartesian system, we know that the

First quadrants have a sign :

I (+; +),

And second quadrants have a sign:

II (−; +),

And third quadrants have a sign:

III (−; −),

and Fourth quadrants have a sign:

IV (+; −).

So, In the First quadrants and the third quadrants have the same sign of the x-coordinates and the y-coordinates which is I (+; +), III (−; −).

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Answer:

protractor

Step-by-step explanation:

use a protractor or  an online protractor

Answer:

The sum of the length of the two legs is equal to the length of the hypotenuse.

Answer:

t =30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.

t + (2t-28) = t+32

Combine like terms

3t -28 = t+32

Subtract t from each side

3t -28-t = t+32-t

2t -28 = 32

Add 28 to each side

2t-28+28 = 32+28

2t = 60

Divide by 2

2t/2 = 60/2

t =30

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Exterior Angle of a triangle is equal to the sum of two opposite interior angles of the same triangle, so

value of t = 30°

Answer:

False 15 times 7= 105

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Area covered with grass seed = 10.4\(m^{2}\).

What is trapezoid geometry?

A quadrilateral with one set of parallel opposite sides is referred to as a trapezoid. It can have congruent sides (isosceles) and right angles (a right trapezoid), but neither is necessary.

Area of the trapezoid ={ (a+b)/2} +h

where a and b is base and h is height of the trapezoid geometry.

In the question,

a=6m , b=7m and h=4m.

According to the formula { (a+b)/2} +h.

Area covered with grass seed = {(6+7)/2} + 4

                                                    = 10.4\(m^{2}\).

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Answer:

26

Step-by-step explanation:

GOT IT RIGHT`

Answer:

Emily have 33 cookies.

Step-by-step explanation:

Given that:

Batches of cookies baked = 3

Number of cookies in each batch = 13

Total number of cookies = 3 * 13 = 39 cookies

She ate 2 cookies.

Remaining = 39 - 2 = 37 cookies

She gave 10 to her neighbor

Remaining = 37 - 10 = 27 cookies

1 batch = dozen cookies

half batch = 6 cookies

Total cookies = 27 + 6 = 33 cookies

Hence,

Emily have 33 cookies.

Tom earns $32,660.

A z-score of 0.9 means that Tom's salary is 0.9 standard deviations above the mean. The mean salary is $27,800 and the standard deviation is $5400, so Tom's salary is $27,800 + 0.9 * $5400 = $32,660.

Here is a more detailed explanation of how to calculate Tom's salary:

The mean salary is $27,800.

The standard deviation is $5400.

A z-score of 0.9 means that Tom's salary is 0.9 standard deviations above the mean.

To calculate Tom's salary, we can use the following formula:

Salary = Mean + (Z-score * Standard deviation)

Substituting the known values into the formula, we get:

Salary = $27,800 + (0.9 * $5400)

Salary = $32,660

Therefore, Tom earns $32,660.

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It will take approximately 0.815 years (or about 9.78 months) for the balance of Yin's savings account to reach $6000.

To find out how many years it will take for the balance of Yin's savings account to reach $6000, we can use the formula for simple interest:

I = P * r * t
Where:
I = interest earned
P = principal amount (initial balance)
r = interest rate (as a decimal)
t = time in years

In this case, Yin's initial balance is $3500 and the account earns 8.75% simple interest annually. We want to find out how many years it will take for the balance to reach $6000.

Let's plug in the given values into the formula:
I = ($6000 - $3500)
P = $3500
r = 8.75% = 0.0875 (as a decimal)
t = unknown (we want to find this)

($6000 - $3500) = $3500 * 0.0875 * t
$2500 = $3500 * 0.0875 * t
To find t, we can rearrange the equation:
t = $2500 / ($3500 * 0.0875)
Simplifying further:
t = 0.815 years (rounded to the nearest thousandth)

Therefore, it will take approximately 0.815 years (or about 9.78 months) for the balance of Yin's savings account to reach $6000.

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Answer:

the answer to your question is 9 miles

As no graph is shown some basic information of parabola can be helpful

And a coordinate is given check it whether it is equal to second part of options

We get

Last two are radar now

As a must be negative option D has such similarities.

Answer:

\(\sf y = -0.006x^2 + 0.35x + 6\quad and\quad y = 0.2x\)

Step-by-step explanation:

As the archer shoots the arrow up, the trajectory of the arrow can be modeled as a parabola that opens downwards.  Therefore, this is a quadratic equation with a negative leading coefficient.

From inspection of the answer options, the path of the arrow is :

\(y=-0.006x^2+0.35x+6\)

This means the options for the line equation are \(y=-x\) and \(y=0.2x\)

We are told that the point of intersection of the line and the parabola is at (46.5, 9.3).  As both the x-value and y-value are positive, the equation of the line must be \(y=0.2x\)

To confirm, substitute \(x=46.5\) into the equation:

\(\implies y=0.2(46.5)=9.3\)

Answer:

None of the answer choices show the correct answer.

The actual answer is 140 miles.

Step-by-step explanation:

Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.

60 * 2 = 120

Cooper then drove for another 30 minutes at a speed of 40 miles per hour.

30 minutes is half of and hour so we need to divide the 40 miles by 2.

40 / 2 = 20

Now we just have to add them together.

120 + 20 = 140

So the answer is 140 miles.

Hope this helps! :)

૮ ・ﻌ・ა

The true statements after the sequence of transformations are

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

AB = (2,4) and (-2,-1)

CD = (3,1) and (-1,-4)​

The transformation rule is given as

This means that

(x, y) = (x - 2, -y - 5)

So, we have

A'B' = (0,-9) and (-4,-4)

C'D' = (1,-6) and (-3,-1)​

The above means that

(b), (d), (f), (g) are false and (e) is true

When D and A are reflected, we have

D = (-1, 4) and A = (2, -4)

The above means that

(a) is false and (c) is true

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To find the median winning bid, we need to first arrange the bids in order from lowest to highest:

$2.00 $2.00 $3.00 $3.00 $3.00 $5.00 $6.00

There are seven bids in total, which means that the median is the fourth value when the bids are arranged in order. In this case, the fourth value is $3.00.

Therefore, the median winning bid is $3.00.

The equation 12x + 1 = 3(4x + 1) – 2 have infinite solutions

An equation is a mathematical statement that shows that two mathematical expressions are equal. In other terms we say that an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

To solve this problem, we can proceed to solve this equation by collecting like terms and then dividing through to know the coefficient of x.

⇒ 12x + 1 = 3(4x + 1) – 2

⇒ 12x + 1 = 12x + 3 – 2

⇒ 12x + 1 = 12x + 1

So that, The equation have infinite solutions.

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This problem have two question:

1) How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) – 2

2) Which of the following shows the graph of y = –(2)x – 1?

we are giving the answer of question no.1