Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.

A figure can be broken into a triangle and rectangle. The rectangle has a base of 200 millimeters and height of 50 millimeters. The triangle has a base of 50 millimeters and height of 100 millimeters.

What will be the area of the front face of his model?
2,500 square millimeters
10,000 square millimeters
12,500 square millimeters
15,000 square millimeters

The domain of a function is the set of all inputs for which the function remains valid. Since the graph shows the number of coffee stores after 1992. The domain will only makes sense for positive numbers, since a negative year doesn't make any sense. Therefore, the domain is:

Answer:

Step-by-step explanation:

the amount gave on his first birthday=$1

therefore,

1,1*2,1*2*2,1*2*2*2,1*2*2*2*2,1*2*2*2*2*2,1*2*2*2*2*2*2,1*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2*2

therefore ,1,2,4,8,16,32,64,128,256

therefore money given at the age of 9 is $256

Answer:

905.45

Step-by-step explanation:

el treinta y cinco por ciento 35% de 2587 es: 905.45

Answer:

The cyclist can travel 0.9 miles in 2 minutes.

Step-by-step explanation:

1 hour = 60 minutes

Set up a conversion equation:

27 mi/1 hr × 1hr/60 mins

It is easier to see when writing it on paper, but the fractions are set up in a way to cancel the units out until the only units left are miles and minutes

After multiplying the numerators together and then multiplying the denominators together, you should reach the answer:

27 mi/60 mins

The cyclist can travel 27 miles in 60 minutes, but how many miles can he travel in 2 minutes?

Set up an equation:

Variable x = number of miles

27 mi/60 mins = x/2 mins

Cross multiply

27 × 2 = 60 × x

54 = 60x

Divide both sides by 60

0.9 = x

Answer:

(-5,2)

Step-by-step explanation:

The rate of sales tax on the product is 7.25%(percentage)

What is percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. Percentage refers to one in a hundred. The % sign is used to denote it.

The cost of a washer is $2100. The sales tax is $152.25.

We have given,

The purchase price is the cost of the washer = $2100.

The sales tax = $152.25

Tax rate is \(\frac{sales tax}{purchase}\)

= \(\frac{152.25}{2,100}\)

=0.0725

In percentage 7.25%

Hence the sales rate is 7.25%.

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Answer: d

Step-by-step explanation:

Answer:

\(\Huge \boxed{-50}\)

Step-by-step explanation:

25 is subtracted from -25.

\(\Rightarrow -25-25 \\ \\ \\ \Rightarrow -50\)

The value is -50.

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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Answer:

D

Step-by-step explanation:

x coordinate:

8 - -4 = 12

12 / 2 = 6

-4 + 6 = 2

y coordinate:

10 - -8 = 18

18 / 2 = 9

-8 + 9 = 1

(2, 1)

The relationship between the number of students memberships, x, and the number of adult memberships is 25x + 40y = 12,250.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

At Al’s Club, The monthly membership fee for a student is $25 and the monthly membership fee for an adult is $40.

Let the number of student memberships be x and the number of adult memberships be y

From the data given in the question:

The total fee = 25x + 40y

Total fee = 12,250

25x + 40y = 12,250

Thus, the relationship between the number of students memberships, x, and the number of adult memberships is 25x + 40y = 12,250.

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Answer:

so you are starting at -3 then going to 5 it 8 is the length of the line 8 is the answer

Step-by-step explanation:

-2 -1 0 1 2 3 4 5

Answer:

Step-by-step explanation:

for 5 feet is $60

2 feet is $150.

sorry if this doesn't help!

The number of tree shades and evergreens will be 42 and 36, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

An engineer purchased 78 trees at an all-out cost of $4050. The overhanging trees cost $45 each and the evergreens cost $60 each.

Let 'x' be the number of tree shades and 'y' be the number of evergreens. Then the equations are given as,

x + y = 78                               ...1

45x + 60y = 4050                ...2

From equations 1 and 2, then we have

45(78 - y) + 60y = 4050

15y = 540

y = 36

Then the number of tree shades will be given as,

x + 36 = 78

x = 78 - 36

x = 42

The number of tree shades and evergreens will be 42 and 36, respectively.

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Sample evidence can support a null hypothesis, but it cannot prove it to be true.To test this hypothesis, researchers collect and analyze a sample of data.

Sample evidence can provide support for a null hypothesis, but it cannot prove it to be true. In statistical hypothesis testing, the null hypothesis assumes that there is no significant relationship or difference between variables. To test this hypothesis, researchers collect and analyze a sample of data.

If the sample evidence does not provide strong enough support to reject the null hypothesis, it means that the data does not provide enough evidence to conclude that there is a significant relationship or difference. However, this does not prove that the null hypothesis is true, as there is always a possibility of Type II error (false negative).

For example, let's say we want to test if a new drug is effective in reducing pain. The null hypothesis would be that the drug has no effect. After conducting a study and analyzing the sample data, if we fail to reject the null hypothesis, it means we don't have enough evidence to conclude that the drug is effective. However, it doesn't prove that the drug is truly ineffective.In summary, sample evidence can support a null hypothesis, but it cannot prove it to be true.

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To calculate the marginal cost, find the change in total cost when one additional unit is produced.

Variable Fixed Total Average Variable Average Total Marginal Cost

Cost Cost Cost

0 $30 $30 - - -

2 $30 $34 $17 $17 $4

5 $30 $47 $9.4 $9.4 $13

6 $30 $56 $9.3 $9.3 $9

8 $30 $78 $9.75 $9.75 $22

10 $30 $100 $10 $10 $22

12 $30 $132 $11 $11 $32

Note: To calculate the average variable cost, divide the total variable cost by the quantity produced. To calculate the average total cost, add the total variable cost and the total fixed cost and divide by the quantity produced. To calculate the marginal cost, find the change in total cost when one additional unit is produced.

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Answer:

The coordinates of the  point T' are T'(2,2).

Step-by-step explanation:

Sorry I dont have a explanation

The formula for multiplying two vectors is: (a b) x (a - b) = (a x a)b - (a x b)b = ab² - a²b.

In this case, (a b) x (a - b) = 3i - 7j - 2k x 3i + 7j + 2k = 9i² - 49j² - 4k².

The formula for the cross product of two vectors is (a b) × (a − b) = (a × a) − (a × b) − (b × a) + (b × b). Since the cross product of a vector with itself is zero, this simplifies to (a b) × (a − b) = − (a × b) − (b × a).

Now, we can substitute the given value of a×b into this formula:

(a b) × (a − b) = − (3i − 7j − 2k) − (3i − 7j − 2k)

Simplifying this further gives:

(a b) × (a − b) = −6i + 14j + 4k

Therefore, the cross product of (a b) and (a − b) is −6i + 14j + 4k.

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Answer:C

Step-by-step explanation:

The 95% confidence interval for the mean gas mileage of a 2012 Prius by all drivers who participate on fueleconomy.gov would depend on the sample size and the sample mean and standard deviation of the gas mileage data.

To calculate a 95% confidence interval for the mean gas mileage of a 2012 Prius by all drivers who participate on fueleconomy.gov, we would need to gather a sample of gas mileage data from the website. We would then calculate the sample mean and standard deviation of the gas mileage.
Assuming the sample follows a normal distribution and we have a sample size of at least 30, we can use the t-distribution to calculate the confidence interval. With a 95% confidence level and n degrees of freedom (n-1 = sample size - 1), we can look up the t-value using a t-distribution table or calculator.
Once we have the t-value, we can plug it into the following formula to calculate the confidence interval:
Confidence interval = sample mean ± (t-value * standard error)
The standard error is calculated by dividing the sample standard deviation by the square root of the sample size.

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Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

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Concept

Use slope and a point form to find the equation of the line.

Method

Given data

slope = -1/2

Given point = (2,-2)

Next, write the equation of a slope-point form to find the equation of a line.

Next, label the given data

m = -1/2

x1 = 2 and y1 = -2

Substituting m, x1 and y1 into the equation we get

Cross multiply

Final answer

Answer:

wheres the picture??

Step-by-step explanation:

Answer:

x^2-2x-8

Step-by-step explanation:

-4, 2

(x-4)(x+2) solve that, and it equals to that equation.

(A) The value of sin(φ)  and cos(φ)  when φ ≈ 0 are φ and 1 respectively

(B) By substituting the approximations for sin and cos, the approximate solution is φ + 3b = 0

(C) By solving for φ, the value of φ = -3b

(A) To estimate the values of sin(φ) and cos(φ) when φ ≈ 0 using derivatives and the linear approximation, we can use the first-order Taylor series expansion of sine and cosine functions.

The linear approximation of a function f(x) near a point x = a is given by:

f(x) = f(a) + f'(a)(x - a)

Let's apply this approximation to the sine and cosine functions when φ ≈ 0:

For sine:

sin(φ) ≈ sin(0) + cos(0)(φ - 0)

        ≈ 0 + 1(φ - 0)

        ≈ φ

For cosine:

cos(φ) ≈ cos(0) - sin(0)(φ - 0)

        ≈ 1 - 0(φ - 0)

        ≈ 1

Therefore, when φ ≈ 0, sin(φ) ≈ φ and cos(φ) ≈ 1.

(B) Now, let's approximate the given equation by substituting the approximations for sin(φ) and cos(φ).

Original equation: sin(φ) + b(1 + cos²(φ) + cos(φ)) = 0

Substituting the approximations:

φ + b(1 + 1² + 1) = 0

φ + 3b = 0

(C) To solve for φ approximately, we can rearrange the equation:

φ = -3b

Therefore, the approximate solution for φ is φ ≈ -3b.

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The amount of vanilla extract that will be needed to be able to make 2 dozen cookies is 2 teaspoons of vanilla extract

The recipe given will be able to yield 1 . 5 dozen of Oatmeal Raisin Cookies  which means that the 1 . 5 teaspoons of vanilla extract will be needed for 1. 5 dozens of Oatmeal Raisin Cookies.

If you are to make 2 dozen cookies therefore, it means that the recipe would require a higher amount of vanilla extract which can be found by the formula:

= ( Dozen cookies needed x teaspoons in  1 .5 dozen ) / 1 . 5 dozen

= ( 2 x 1 . 5 ) / 1 . 5

= 2 teaspoons of vanilla extract

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Answer:

(2x−3z)(3y−1)

Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)

(2x−3z)(3y−1)