g(r) = -1 - 77
g(6)=

Answer: −k+88

Step-by-step explanation: -k-(-88)​                                                                         −k+88

The answer is 49 :))

The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.

When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.

After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.

When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.

To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.

Therefore, the probability that both DVDs will be Harry Potter films is 1/110.

In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

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Answer:

$750

Step-by-step explanation:

so $90 is 12% of her weekly income

so you have to do

$90 / 12% = $750

so her income is $750 a week

If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.

To calculate the amount you will collect after 150 days, we need to use the formula for compound interest:

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

Where:

A = the final amount

P = the principal amount (initial investment)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = time (in years)

In this case, the principal amount is $4 million, the annual interest rate is 3.95% (or 0.0395 as a decimal), and the CD has a 150-day term.

To determine the number of compounding periods in 150 days, we need to consider the compounding frequency. CD interest is typically compounded daily. Therefore, we have:

n = 365 (number of days in a year) / 150 (number of days in the CD term) = 2.4333

Plugging the values into the formula:

A = $4,000,000 * (1 + 0.0395/2.4333)^(2.4333*150/365)

A = $4,047,439

If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.

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Answer:

-902.7

I hope this helps

9514 1404 393

Answer:

Step-by-step explanation:

When you have a wording that matches ...

  A depends on B

It means that A is the dependent variable, and B is the independent variable.

Here, the total monthly cost depends on the number of cups purchased.

That statement tells you that "total monthly cost" is the dependent variable, and "number of cups purchased" is the independent variable (x).

The first four (4) blanks you're to fill represent two different ways of saying this same thing.

__

The equation is a mathematical expression of the way the costs add up.

  total monthly cost = (program cost) + (per-cup cost) × (number of cups)

  M(x) = 15 + 2x

Then M(13) is ...

  M(13) = 15 + 2·13 = 15 +26 = 41

So the total monthly cost for the purchase of 13 cups of coffee is $41.

Answer:

A

Step-by-step explanation:

Because when the line passes through (0,8) with perpendicular to the graph of y =1/4 x =2 it equals y+1/4x+6.

The equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

A straight line is a combination of endless points joined on both sides of the point.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The slope 'm' of any straight line is given by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that:

Line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

The slope of the line p is:

m(p) = -4

The slope of the line q parallel to line p:

m(q) = -4

The equation of the line q:

y - 6 = -4[x + 3]

Line q passes through the point (-3, 6).

The equation of the line:

y = -4x - 12 + 6

y = -4x - 6

Thus, the equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

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The possible monthly high temperature is less than 25°.

It's important to note that temperature simply means the degree of hotness and the coldness that a particular medium has.

In this situation, the difference between the monthly high and low temperatures was less than 27° Fahrenheit and monthly low temperature

was -2° Fahrenheit. Therefore, the monthly high will be:

High - Low < 27

High - (-2) < 27

High + 2 < 27

High < 27 - 2

High < 25

The interpretation means that the temperature is less than 25°F.

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Answer:

$1.49 USD :)

Step-by-step explanation:

To find the first term of an arithmetic sequence, use the formula: first term = last term - (number of terms - 1) * common difference.

To find the first term of an arithmetic sequence given the number of terms, the last term, and the common difference, you can use the following formula

First term = Last term - (Number of terms - 1) * Common difference

Here's how to use this formula

Identify the number of terms, the last term, and the common difference of the arithmetic sequence.

Plug these values into the formula.

Simplify the formula using order of operations (PEMDAS) to find the first term.

For example, let's say we have an arithmetic sequence with 10 terms, a last term of 50, and a common difference of 5. Using the formula above, we get

First term = 50 - (10 - 1) * 5

First term = 50 - 9 * 5

First term = 50 - 45

First term = 5

Therefore, the first term of the arithmetic sequence is 5.

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Solution

We need to find the mean, median and mode.

Since mean > median

The graph is right-skewed.

The square root of 12654987 is approximately 3567.824.

Answer:

3557.38485 . \(\sqrt[2]{12654987}\)

Step-by-step explanation:

The number “ 12654987 “ is NOT a perfect square AT ALL

\(\sqrt[2]{12654987}\) =

3557.38485. ( very weird number to ask… )

Answer:

i'd say its a rhombus (C)

Step-by-step explanation:

i have this question on my exam on edg. and that is the answer i came up with after reviewing the image that was provided on the exam.

other people say that its a quadrillateral that is a parallelogram but i drew out the shape and the lines were intersecting. so its probably not A. :)

Jesus is King!!

Answer:

Variables

Step-by-step explanation:

A variable is a quantity that can be changed and is not fixed. Variables are essential as they form a major algebra component. We usually use “x” and “y” to express an unknown integer.

Answer:

54

Step-by-step explanation:

Given f(x) = 6(1 - x), what is the value of f(-8)?

F(-8)=6(1--8)        -- plug -8 into f(x) and x spots.

F(-)8=6(9)      ---then solve

F(-8)=54     --- so the function to f(-8) is 54

Answer: Its y-intercept is obtained when the x coordinate is 0, so that the function crosses the y-axis. Therefore, it means that x=0 . Note that the y value that corresponds to this intercept is y=f(0) y = f ( 0 ) . Thus, an ordered pair that represents the y-intercept is (0,f(0)) ( 0 , f ( 0 ) )

Step-by-step explanation:

Answer:

0.07

Step-by-step explanation:its becuase 7% outta 100% =0.07. so  I=Prt

We have to solve for r

r=r/100

7%/100

0.07 per year

Hope this helps mark as brainliest plz

Answer:

0.07

Step-by-step explanation:

give brainlest pls

Answer:

for the firsts ones :

1. 12 x 2 x 5

2. 4 x 11 x 2,25

3. 6.5 x 22.6 x 10

Step-by-step explanation:

The percentage of the population in developed countries who are 65 or older in 2050 will depend on a variety of factors, including changes in birth rates, migration patterns, and improvements in healthcare that could affect life expectancy.

However, according to the United Nations, the proportion of people aged 65 or over in developed countries is projected to increase from 22% in 2020 to 28% in 2050. This represents a significant increase, indicating that aging populations will be a major demographic trend in the coming decades. Some developed countries, such as Japan and Italy, are expected to have even higher proportions of elderly citizens, with estimates of over 35% by 2050.

This demographic shift will have important implications for public policy, including healthcare systems, social security, and labor markets.

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Answer:

35 and 20

Step-by-step explanation:

→ For the 1st question utilise the fact angles in triangle add to 180

2x + 2x + 40 = 180

→ Simplify

4x = 140

→ Find x

x = 35

→ For second question all sides are the same ⇔ angles are the same

3x + 3x + 3x = 180

→ Solve

x = 20

The ages of people who own their homes are normally distributed with a mean of 42 and a standard deviation of 3.2. To find the age at which 75% of the home owners are older than this age, we can use the standard normal distribution table to find the z-score, which is approximately 0.674. The correct option is 44.2, as 75% of the home owners are older than 44.2.

Suppose ages of people who own their homes are normally distributed with a mean of 42 years and a standard deviation of 3.2 years. We need to find the age at which 75% of the home owners are older than this age.How to find the age?We can use the standard normal distribution table. The standard normal distribution is a normal distribution with a mean of 0 and standard deviation of 1. Using this table, we can find the z-score which corresponds to the area to the left of a particular value.Suppose z is the z-score such that the area to the left of z is 0.75. This means that 75% of the distribution is to the left of z. We can use this z-score to find the age at which 75% of the home owners are older than this age.What is the formula for z-score?The formula for finding the z-score for a value x in a normal distribution with mean μ and standard deviation σ is as follows

\(:$$z=\frac{x-\mu}{\sigma}$$\)

We can rearrange this formula to find the value of x. Here's how:$$x=\sigma z + \mu$$

Now, let's find the z-score which corresponds to the area to the left of 0.75. Using a standard normal distribution table

we can find that this z-score is approximately 0.674.Using the above formula, we can find the age x at which 75% of the home owners are older than this age. We know that μ = 42 and σ = 3.2. Therefore, we have:$$x = 3.2 \times 0.674 + 42 = 44.16$$

Therefore, approximately 75% of the home owners are older than 44.16. So, the correct option is 44.2.Approximately 75% of the home owners are older than 44.2.

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Answer:

Step-by-step explanation:

He made a mistake in step one turning the 7 into a -7

\(x^{2}\) - 3x + 7 = 0

Solving:

\(1x^{2}\) - 3x + 7 = 0  ← If the term doesn't have a coefficient, it is considered that the coefficient is 1.

\(1x^{2}\) + (-3x) + 7 = 0 ← Identify the coefficients a, b, and c of the quadratic equation.

a = 1, b = -3, c = 7

x = - (-3) ±√\((-3)^{2}\) - 4 x 1 x 7

                 2 x 1

x = 3 ± √\((3)^{2}\) - 4 x 7

                2

x = 3 ± √9 - 4 x 7

                2

x = 3 ±√9 - 28

             2

x = 3 ± √-19

         2

The square root of a negative number does not exist in the set of real numbers.  

x = ∉ R

Answer:

(a)

\(8x + 2y = 58\)

\(4x + 5y = 49\)

(b)

Bag of popcorn = $6

Candy = $5

Step-by-step explanation:

Given

\(candy = y\)

\(popcorn = x\)

Jackson: x = 8; y= 2; Total = 58

Cooper: x = 4; y= 5; Total = 49

Solving (a): System of equation

For Jackson:

\(8x + 2y = 58\)

This is done by multiplying each variable by the quantity.

Same will be applied to Cooper's purchase:

Cooper:

\(4x + 5y = 49\)

Solving (b): Price of 1 bag of popcorn and 1 candy

This implies that we solve for x and y

\(8x + 2y = 58\) ----- (1)

\(4x + 5y = 49\) -------- (2)

Multiply the second equation by 2

\(2(4x + 5y = 49)\)

\(8x + 10y = 98\) -------- (3)

Subtract the (1) from (3)

\(8x - 8x + 10y - 2y = 98 - 58\)

\(10y - 2y = 98 - 58\)

\(8y = 40\)

Solve for y

\(y = 40/8\)

\(y = 5\)

Substitute 5 for y in (1)

\(8x + 2y = 58\)

\(8x + 2 * 5 = 58\)

\(8x + 10 = 58\)

\(8x = 58 - 10\)

\(8x = 48\)

Solve for x

\(x = 48/8\)

\(x = 6\)

This implies:

Bag of popcorn = $6

Candy = $5

Answer:

1. AC is perpendicular to BD

1. Given

2. ACB is a right angle

2. Definition of perpendicular lines

3. Triangle ACB is a right triangle

3. Definition of right triangles

4. Angles 1 and 3 are complementary

4. Interior angles of a triangle add up to 180 degrees (Triangle Interior Angle Sum Theorem), and m<ACB = 90 degrees (definition of right angles), so m<1 + m<3 = 90 degrees (subtraction property of equality). By the definition of complementary angles, angles 1 and 3 are complementary.

To find the expression for dy/dt from the equation y = 4e^(2t) + 32t^2 + 1, we need to differentiate the equation with respect to t.

The derivative of e^(2t) with respect to t is 2e^(2t) (using the chain rule).

The derivative of 32t^2 with respect to t is 64t (using the power rule).

The derivative of 1 with respect to t is 0 (a constant term has a derivative of zero).

Taking the derivatives of each term, we have:

dy/dt = 4(2e^(2t)) + 64t + 0

Simplifying, we get:

dy/dt = 8e^(2t) + 64t

Therefore, the expression for dy/dt is 8e^(2t) + 64t.

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The answer is 0.7.

Given,

On the off chance that the odds he will get a hit is 0.3

p = 0.3,

the odds he won't are 0.7

i.e.,

q = 1 - 0.3

=0.7

What is probability ?

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Answer:

\(\frac{15}{20} x-2=\frac{8}{20}\)

Step-by-step explanation:

\(\frac{3}{4} x-2=\frac{2}{5}\)

3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that

\(\frac{3}{4} =\frac{15}{20}\)

\(\frac{2}{5} =\frac{8}{20}\)

\(\frac{15}{20} x-2=\frac{8}{20}\)

You can then multiply both sides by twenty to solve this equation.

Hope this helps.

15x = 48

Step-by-step explanation:

\(\begin{aligned}\rm\frac{3}{4}x-2&=\rm \frac{2}{5}\to(multiplied~by~20)\\\rm(20)\frac{3}{4}x-(20)2&=(20)\frac{2}{5}\\\rm 15x-40&=8\\\rm 15x&=8+40\\\rm 15x&=48\end{aligned}\)

Answer:

t = -3

Step-by-step explanation:

The value that represents the variable x in the trapezoid is 108 degrees

From the question, the trapezoid represents the given parameter

We can see that the trapezoid is an isosceles triangle

This means that the angle x and y are congruent

The sum of angles is a trapezoid is 360 degrees

So, we have the following summation equation

x + x + 72+ 72 = 360

Evaluate the like terms

So, we have

2x + 144= 360

This gives

2x = 216

Divide by 2

x = 108

Hence, the value of x is 108 degrees

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