A rectangular garden has a length that is 3 feet longer than its width. Let represent the width of the garden, in feet. The entire garden is surrounded by a 2-foot wide cement walkway. What does the algebraic expression ( w + 4) (w + 7) represent in this context?

HIghschool Alegbra 1

The equation of the line is y = -2.5x - 1

The table represents the given parameter

On the table, we have the following points

Point, (x, y) = (0, -1) and (2, -6)

So, we start by calculating the slope of the line using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where x and y are defined above

So, we have

Slope = (-6 + 1)/(2 - 0)

Evaluate

Slope = -2.5

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

Slope, m = -2.5

(x₁, y₁) = (0, -1)

So, we have

y = -2.5(x + 0) - 1

Open the brackets and evaluate

y = -2.5x - 1

Hence, the line has an equation of y = -2.5x - 1

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Answer:

w = 27

Step-by-step explanation:

Solve for w: -6 = -2/9w

-6 = -2/9w

divide both sides by -2/9:

-6/(-2/9) = -2/9w/(-2/9)

27 = w

12. A = [tex]3x^3-21x[/tex]

A = lw

A = 3x * (-7x * x^2)

(distribute the 3x

A = -21x * x^3

A = [tex]3x^3-21x[/tex]

13. A = [tex]4x^3 -4x[/tex]

A = lw

A = 4x * (x^2 * -7x + 6)

(distribute the 4x)

A = 4x^3 * -28x +24x

A = [tex]4x^3 -4x[/tex]

Answer:

1/2

Explanation:

If you take a sample of 1 drawn from the 8, you will have 8 possible options and 4 of them didn't contain defects. So, the probability can be calculated as:

Therefore, the answer is 1/2

The probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

Given a shipment of 8 computers contain 4 with defects.

That means 8 -4 = 4 computers have no defect.

To find the probability;

we have 8 possible computers and 4 computers have no defect.

The probability;

= 4 /8

= 1/2

= 0.5

Therefore, the probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

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Answer:

x = 4

Step-by-step explanation:

a line with an undefined slope is a vertical line parallel to the y- axis, with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (4, 6 ) with x- coordinate 4 , then

x = 4 ← equation of line

May's total profit given the revenue, fixed cost and variable cost is $250.

Profit is when the difference between revenue and total cost is positive. A loss is earned when the difference between revenue and total cost is negative.

Total cost is the sum of fixed cost and variable cost. Fixed cost is the cost that remains constant regardless of the level of output. Variable cost changes based on the level of output.

Total cost = variable cost + fixed cost

$9,000 + $300 = $9,300

Profit = revenue - total cost

$9,950 - $9,300 = $250

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The appropriate measures of central location for interval data are Mode, median, and average

The measure of a data set's most valuable position is its core location. Basically, they are mean, median, and mode.

Mean: The mean is the data set's average value. It is the total number of data divided by the sum of the data set.

The data point in the middle of the data collection is known as the median.

It can be obtained by halving the data set, which will show where the median is located.

Simply put, mode refers to the data that occurs most frequently.

Each of these provides positional information on the data, as can be seen from the definition.

The one value that other values in the data center around is given by the mean.

Therefore, the correct options are Mode, median, and average

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Answer:

they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B

4x ^ 2

2

- 6 it is not known because it is poorly written.

Step-by-step explanation:

Which of the following is NOT an expression?

A   3x + 1  (expression)

B  4x^2 2- 6 (unknow)

C) 5b (expeession)

D) 6y + 1z = 7x - 3w    (Equation)

Answer:

All of the above

Explanation:

All the given options make use of credit scores and/or credit reports to decide whether a person can buy a service and/or to decide what price he or she will pay. landlords may use credit scores to decide if they will require a security deposit and, if so, how much it should be. Also, other service providers like Mortgage lender, Cell phone company and Credit card issuer makes use of credit scores and/or credit reports in making certain decisions.

The scientist was 83.5 feet below sea level while studying ocean life.

Given that:-

Distance the scientist ascended after studying the ocean life = 61.9 feet

Distance below sea level the scientist is after ascending = 21.6 feet

We have to find the distance by which the scientist was below sea level while studying the ocean life.

We know that,

Distance by which the scientist was below sea level while studying the ocean life = Distance the scientist ascended after studying the ocean life + Distance below sea level the scientist is after ascending

Hence, we can write,

Distance by which the scientist was below sea level while studying the ocean life = 61.9 + 21.6 = 83.5 feet.

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There are 24000 spectators left the contest discontented.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Only 20 percent of the spectators left the contest discontented.

If 6000 spectators left the contest contented, then the contest  left discontented are;

The spectators left the contest contented = 6000

20/ 100 x D = 6000

D = 6000 x 100/20

D = 30000

Now the contest  left discontented are;

80 percent = 80/100 x 30000

= 24000

Hence, 24000 spectators left the contest discontented.

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The dimensions given are as follows;

Base a = 36

Base b = 30

Height = 20

The area is derived as follows;

The area therefore is 660 square inches

The statement as number expression is given by the total number of points are 55.

What is Mathematical expression?

An expression is a finite combination of symbol and numbers depending on the context

We are given that A person has lost a card game and he is counting the points left in his hand.

His cards were five fours and five sevens

And we have to write this statement as number expression

Now there are five fours that is [tex]5*4=20 points[/tex]

And five sevens that is [tex]5*7=35 points[/tex]

Hence the total number of points are 20+35=55 points.

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The function that is represented on the graph is (a) y = x^2 + 4, x < 2 and y = x + 4, x ≥ 2

The graph represents the given parameter

From the graph, we have the following function types

Using the options as a guide, we have the equations to be

Next, we calculate the domain

The quadratic function stops at x = 2 with an open circle

So, the domain is x < 2

The linear function starts at x = 2 with a closed circle

So, the domain is x ≥ 2

Hence, the graphed function is (a)

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Answer:

tbh times them all by 15 and u should get the answers

Answer: [tex]50^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle FDE=25^{\circ}+25^{\circ}=50^{\circ}[/tex]

The inequality would be 15 ≤ t ≤ 19 showing the range of possible minutes it will take for the taxi to get to Claire's house.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The time could vary by as much as 4 minutes.

Let t be the range of possible minutes

The taxi service says it will take 15 minutes to get to her house based on normal traffic routines.

So the inequality as 15 ≤ t

The time could vary by as much as 4 minutes.

So the inequality as 15 ≤ t ≤ 15 + 4

⇒  15 ≤ t ≤ 19

Therefore, the inequality would be 15 ≤ t ≤ 19 showing the range of possible minutes.

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Women are paid approximately 80 percent of what men are paid.

Multiple studies have been carried out to discuss the income inequality prevailing in United States. Pay inequity has been found as a corollary of the income inequality.

The women and men has different pay levels for the same work at certain work places. Income inequality is considered as an injustice and to put forward this issue may organizations are trying.

Hence according to multiple studies, including those by the American association of university women and the pew research center, on average, women are paid approximately 80 percent of what men are paid.

We can see the appreciable difference in the pay levels of women and men prevailing.

As a result several laws has been passed recently to have a solution for this injustice.

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Same age

See explanation below

Let the age of Jasmine = y

Multiplying Jasmine age by 3 and adding 6:

= (y × 3) + 6

= 3y + 6

Multiplyng the sum by 2:

2 × the sum = 2 × (3y + 6)

= 6y + 12

Let James age = z

Multiplying the age by 2 and adding 4:

James age × 2 = z × 2 = 2z

adding 4 = 2z + 4

Multiplying the sum y 3:

3 × the sum = 3 × (2z + 4)

= 6z + 12

Now since they are twins, they ae most likely same age

This means:

6y + 12 = 6z + 12

subtracting 12 from both sides:

6y = 6z

dividing both sides by 6:

y = z

Hence, Jasmine age is the same as James age

B) The expression for Jasmine = 2(3y + 6) = 6y + 12

The expression for James = 3(2z + 4) = 6z + 12

let the twin's age = 2, 3, 4, 5

when twin's age = 2

6y + 12 = 6(2) + 12 = 12 + 12 = 24

6z + 12 = 6(2) + 12 = 12 + 12 = 24

when twin's age = 3

6y + 12 = 6(3) + 12 = 18 + 12 = 30

6z + 12 = 6(3) + 12 = 18 + 12 = 30

when twin's age = 4

6y + 12 = 6(4) + 12 = 24 + 12 = 36

6z + 12 = 6(4) + 12 = 24 + 12 = 36

when twin's age = 5

6y + 12 = 6(5) + 12 = 30 + 12 = 42

6z + 12 = 6(5) + 12 = 30 + 12 = 42

Plotting the table:

Answer:

y = -4

Explanation:

Given the equation:

Thus, the number is -4.

Answer:

C- below the mean by a distance equal to 2 standard deviations

Step-by-step explanation:

The probability that the pilot weighs between 140 and 190 pounds is 0.6262.

When provided,

µ = 158

σ = 27.2

We must determine P(140 x 190).

P(140< x < 190) = P(x< 190) - P(x<140)

Locate P(x 190).

Z = (x - µ)/σ

Z = (190 - 158)/27.2

Z = 1.176471

P(Z<1.176471) = P(x<190) = 0.880297

[This probability can be determined using a z-table, Excel, Ti-83/84 calculator, software, etc. Z-table is less accurate than other methods in terms of value.]

Find P(x>140) now.

Z = (x - µ)/σ

Z = (140 - 158)/27.2

Z = -0.66176

P(Z<-0.66176) = P(x<140 ) = 0.254061

P(140< x < 190) = P(x< 190) - P(x<140)

P(140< x < 190) = 0.880297 - 0.254061

P(140< x < 190) = 0.626236

The necessary probability is 0.6262.

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Answer:

Step-by-step explanation:

0.626 is the probability that the pilot weighs between 140 and 190 pounds.

Mean (µ ) = 158

S.D(σ ) = 27.2

P(140 x 190)=?

P(140< x < 190) = P(x< 190) - P(x<140)

Find  P(x 190).

Probability determined using Z-table.

Z = (x - µ)/σ

  = (190 - 158)/27.2=1.176471

P(Z<1.176471) = P(x<190) = 0.88

Find P(x>140)

Z = (140 - 158)/27.2= -0.66176

P(Z<-0.66176) = P(x<140 ) = 0.254

P(140< x < 190) = 0.88 - 0.254

                          = 0.626

Therefore probability is 0.626.

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Answer:

350m

Step-by-step explanation:

Vi = 15 m/s

A = 4 m/s^2

delta t = 10s

delta x = ?

delta x = (Vi)(delta t) + 1/2(A)(delta t)^2

delta x = (15m/s)(10s) + 1/2(4m/s^2)(10s)^2

delta x = 350 m

The rate which the investment is compounded annually is 1.7%

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

The formula to calculate compound interest is given as

[tex]A = p(1 + \frac{r}{n})^n^t[/tex]

substituting the values into the equation and solve for rate at which the investment is compounded

[tex]A = p(1 + \frac{r}{n})^n^t\\6669 = 6130(1+ \frac{r}{1})^1^*^5\\ r = 1.7[/tex]

The rate of the investment is 1.7%

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1. The total number of cases of cancer x that could be prevented if each one of the exposures were eliminated is 900.

2. The suggestion to the public health agencies if they requested the one exposure that would have a greater impact on reducing the prevalence of cancer x if eliminated is smoking.

The prevalence rate refers to the proportion of the population who have a particular disease or attribute or can be exposed to risks at a specified time or over a specified period.

The assumed population size in Epiland  = 1,000

Prevalence of smoking in Epiland = 60%

The number of Epiland smokers = 600 persons (1,000 x 60%)

Percentage of people drinking water with a high concentration of heavy metals = 30%

The number of people drinking the water = 300 (1,000 x 30%)

The total number of people exposed to cancer x = 900 (600 + 300).

Thus, 90% of the population in Epiland is exposed to cancer x based on the prevalence rate of smoking and the high concentration of heavy metals in their drinking water.

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Answer:

A=16, the formula to find the area of a kite is A=pq/2

Step-by-step explanation:

A=pq/2 = 4×8/2=16

Y'=33.67+0.54*X' .

For married couples in their early 20s, the regression equation and the prediction of a husband's height. In statistics, a regression equation is used to determine whether or not there is a link between two sets of data.

In statistics, a regression equation is used to determine whether or not there is a link between two sets of data. For instance, you might discover that a child grows roughly 3 inches a year if you measure their height each year. A regression equation can be used to model the three-inch growth tendency.

Detailed explanation:

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The person that has the higher average speed is Teresa.

The average speed is the total distance travelled by the object in a particular time interval.

Average speed measures the average rate of speed over the extent of a trip.

Therefore,

average speed = distance / time

Hence, Karl drove 40 miles in 50 minutes.

Therefore,

average speed of Karl = 40 / 50

average speed of Karl = 4 / 5 miles per minute

Teresa drove 35 miles in 42 minutes.

Therefore,

average speed of Teresa = 35 / 42

average speed of Teresa  = 5 / 6 miles per minutes

Therefore, Teresa had the higher average speed.

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Triangle xyz, z=61 degree, its nearest length If leg an is the missing side and xz=17.3 cm and xy=15.2 cm,

then change the equation to its original form when an is on one side and calculate the square root: a = √(c² - b²)

Leg b is undetermined if. For a missing hypotenuse c, the formula is b = (c2 - a2). c = √(a² + b²)

How do you calculate a triangle's third side?

Different Methods to Determine a Triangle's Third Side?

Use the Pythagorean Theorem while forming a right triangle. Use the isosceles triangle area formula to determine the area of a triangle. Use the law of cosines or the law of sines if you are familiar with some of the angles and other side lengths.

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