Find the area of the composite figure below. Use 3.14159 for pi if you are finding area of a circle.
2 ft
2 ft
2 ft
2 ft

Answer:

Step-by-step explanation:

3(x + 4) - 5 = 2x + 4

solve for x

x = -3

Answer:

100 percent

Step-by-step explanation:

if x of y is y....

x is always 100!

The given problem is to minimize the function C = 2.0 + 4y subject to the constraints: 2a = 6, 2x + g = 22, y < 0, and y > 0 using the method of corners.

To solve this problem, we first need to identify the corners or vertices of the feasible region defined by the constraints. From the given constraints, we have:

2a = 6, which implies a = 3.

2x + g = 22, which implies g = 22 - 2x.

Since y < 0 and y > 0 are contradictory constraints, there is no feasible region that satisfies both conditions simultaneously. Hence, there is no feasible solution to the problem.

Therefore, the problem does not have a minimum value for the function C under the given constraints.

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Answer:

108

Step-by-step explanation:

i think that's the answer not sure

Answer:

the answer is 80

Step-by-step explanation:

QR=ST: 7x+3=5x+25

2x=22

x=11

7(11)+3=80      5(11)+25=80

The probability that the difference between the sample means will be within 0.05 units of the difference between the population means μ₁ − μ₂ is required.

a) The difference between the sample means, X - Y, is approximately normally distributed with mean μ₁ − μ₂ and variance (σ₁²/n₁) + (σ₂²/n₂), where σ₁² and σ₂² are the variances of populations A and B, respectively. In this case, σ₁² = 0.01 and σ₂² = 0.02. The probability can be found by calculating the area under the normal distribution curve between -0.05 and 0.05. Using the known parameters and the z-score formula, the probability can be determined.

b) If n₁ = n₂ = n, the variance of the difference between the sample means is (σ₁²/n) + (σ₂²/n) = (0.01/n) + (0.02/n). We want this variance to be within 0.04 units with a probability of 0.9. By setting up the appropriate equation and solving for n, we can find the required sample size that satisfies this condition.

The calculations involve applying the properties of the normal distribution and solving equations to find the desired probabilities and sample sizes.

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Based on the APR given, the amount that he'll pay for the month will be $426.95.

Since the APR is given as 15%, the monthly interest rate will be:

= 15%/12 = 0.0125

The amount spent is $316, the amount each month will be:

= $316 × 0.0125

= $3.95

Since Marcus has credit card he owed $423 at the beginning, the amount he'll pay for the month will be:

= $423 + $3.95

= $426.95

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1600 + 30m is the expression indicates the amount of water, in gallons, in the swimming pool after m minutes.

An expression is combination of variables, numbers and operators.

Given that there are already 1,600 gallons of water in a swimming pool.

water is filling the pool at a rate of 30 gallons per minute,

We need to find the expression indicates the amount of water, in gallons, in the swimming pool after m minutes

Let m = number of minutes

The expression will be:

1600 + (30 × m)

1600 + 30m

Hence, 1600 + 30m is the expression indicates the amount of water, in gallons, in the swimming pool after m minutes.

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The sencond one is D.

The first one is probable A hope i'm right on this on.

Answer:

2/3

Step-by-step explanation:

3 times 2/3 will equal 2 (A - B)

4.5 times 2/3 will equal 3 (B - C)

6 times 2/3 will equal 2 (C - D)

to find the fraction just divide any of the numbers on the dialated figure (right side) by it's parallel side

a) S₁ = -(5^n - 1)

b) There is no solution.

a) To find S₁, the sum of the first n terms of the geometric sequence, we can use the formula:

S₁ = a(1 - r^n) / (1 - r)

where a is the first term and r is the common ratio.

Given that the first term a is 5 and the common ratio r is 5, we can substitute these values into the formula:

S₁ = 5(1 - 5^n) / (1 - 5)

Simplifying:

S₁ = 5(1 - 5^n) / (-4)

= -(5^n - 1)

b) To find the smallest value of n for which S₁ > 14648435, we can set up the inequality:

-(5^n - 1) > 14648435

Multiplying both sides by -1 and flipping the inequality sign:

5^n - 1 < -14648435

Adding 1 to both sides:

5^n < -14648434

Taking the logarithm (base 5) of both sides:

n < log₅(-14648434)

Note: The logarithm of a negative number is not defined in the real number system, so there is no solution to this inequality. Therefore, there is no positive integer value of n for which S₁ > 14648435.

a) S₁ = -(5^n - 1)

b) There is no solution.

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Answer:

Your answer is

tangent ratio of B is 3/2

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

Step-by-step explanation:

3/ root13 will go correct

The median from vertex \($a$\) is perpendicular to the median from vertex $b$. the lengths of sides \($ac$\) and \($bc$\) are 6 and 7, respectively then, \(AB^2 = \frac{85}{4}$\).

Let \($M$\) be the midpoint of side \($AC$\), and \($N$\) be the midpoint of side \($BC$\). Since the median from vertex \($A$\) is perpendicular to the median from vertex \($B$\), we have \($AM \perp BN$\).

Let \(AB = x$. Since $M\) is the midpoint of \($AC$\), we have \($CM = \frac{AC}{2} = 3$\).

Similarly, \($BN = \frac{BC}{2} = \frac{7}{2} = 3.5$\). Now we can use the Pythagorean

theorem in triangle \($ABN$\) to find \($AB$\).

Using the Pythagorean theorem, we have:

\($AB^2 = AN^2 + BN^2$\)

Substituting the known values, we get:

\($AB^2 = \left(\frac{AC}{2}\right)^2 + \left(\frac{BC}{2}\right)^2$\)

\($AB^2 = 3^2 + \left(\frac{7}{2}\right)^2$\)

\($AB^2 = 9 + \frac{49}{4}$\)

\($AB^2 = \frac{36 + 49}{4}$\)

\($AB^2 = \frac{85}{4}$\)

Therefore, \(AB^2 = \frac{85}{4}$.\)

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Answer:

(x+2)(x-2) = 0

Step-by-step explanation:

Answer:

I'll try to give u an example the best way possible

Step-by-step explanation:

1) we are going to solve this division problem (84/7).

2) Divide 8 by 7 to get 1. Place this on top of the 8 and the division sign.

3) Multiply 1 and 7 to get 7. Place this under the 8.

4) Subtract 7 from 8 to get 1.

5) Carry down the 4.

6) Divide 14 by 7 to get 2. Place this on top of the 4 and the division sign.

7) Multiply 2 by 7 to get 14.

8) Subtract 14 from 14 to get 0.

The answer is 12!

The distance between the tips of the minute and hour hands of a large clock is changing at a rate of approximately 0.0084 feet per minute at 6:20 pm.

To find the rate at which the distance between the tips of the two hands is changing, we can use the concept of related rates. Let's consider the minute hand and the hour hand as they move on the clock face.

At 6:20 pm, the minute hand is pointing at the 4 on the clock, and the hour hand is pointing between the 6 and 7 on the clock. We can calculate the angle between the two hands by taking the difference in their positions. The minute hand has moved 20 minutes past the 6, which corresponds to 1/3 of the clock's circumference, or 2π/3 radians. The hour hand has moved 1/3 of the way between the 6 and 7, which corresponds to 1/12 of the clock's circumference, or π/6 radians.

The distance between the tips of the hands can be found using the law of cosines. Considering the minute hand as the side a (length 1 foot), the hour hand as the side b (length 1/2 feet), and the angle between them as θ (π/6 - 2π/3), we can use the formula: c^2 = a^2 + b^2 - 2ab*cos(θ).

By substituting the given values, we have c^2 = (1)^2 + (1/2)^2 - 2(1)(1/2)*cos(π/6 - 2π/3).

Simplifying, c^2 = 5/4 - √3/2.

Differentiating both sides with respect to time, we have 2c(dc/dt) = 0 - (-√3/2)(dθ/dt).

Since the minute hand moves at a constant rate of 2π radians per hour, dθ/dt = 2π/60 = π/30 radians per minute.

Substituting the values, we get 2c(dc/dt) = (√3/2)(π/30).

Simplifying, dc/dt = (√3/4π) feet per minute.

Therefore, at 6:20 pm, the distance between the tips of the minute and hour hands is changing at a rate of approximately 0.0084 feet per minute.

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After evaluating the value to -2 • -4/3 is 8/3.

To evaluate the expression -2 • -4/3, we need to apply the rules of multiplication and division for negative numbers and fractions.

First, let's consider the multiplication of -2 and -4.

When multiplying two negative numbers, the result is positive.

So, -2 • -4 = 8.

Now, we have 8 divided by 3.

To divide a number by a fraction, we multiply by its reciprocal.

Therefore, we have 8 • 1/(4/3).

To find the reciprocal of 4/3, we flip the fraction, resulting in 3/4.

Now we can rewrite the expression as 8 • 3/4.

Multiplying 8 by 3 gives us 24, and dividing by 4 yields 6.

Therefore, the expression -2 • -4/3 simplifies to 6.

Among the given answer choices, none of them matches the result of 6. Thus, the correct answer is not provided in the options given.

It's essential to double-check the available answer choices and ensure that none of them is a correct match for the evaluated expression.

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Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

Answer:

10.8

Step-by-step explanation:

AB can be calculated using the formula \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

The coordinates of A are when x = -2, y = -2

At B, x = 8, y = -6

Let,

\( A(-2, -2) = (x_1, y_1) \)

\( B(8, -6) = (x_2, y_2) \)

Plug the values into the formula.

\( AB = \sqrt{(8 - (-2))^2 + (-6 -(-2))^2} \)

\( AB = \sqrt{(8 + 2)^2 + (-6 + 2)^2} \)

\( AB = \sqrt{(10)^2 + (-4)^2} \)

\( AB = \sqrt{100 + 16} \)

\( AB = \sqrt{116} = 10.8 \) nearest tenth

Answer:

352

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

The number is 1

Step-by-step explanation:

Let the number be x
Subtract 8 from x ==>   x - 8

Multiply by -3 ==>         -3(x - 8) = -3(x) -3(-8) = -3x - 24

This equals 21

So
-3x + 24 = 21

Subtract 24 from both sides:
-3x + 24 - 24 = 21 - 24

==> -3x + 0 = - 3

-3x = -3

Divide by -3

==> -3x/-3 = -3/-3

x = 1

Check

1 - 8 = -7

-3(1-8) = -3 x -7 = 21

Answer:

-8x^2 - 10x + 7

Step-by-step explanation:

2x^2 - 10x^2 = -8x^2

-5x - 5x = -10x

3 - (- 4) = 7

-8x^2 - 10x + 7

Hope this helps!

The total number of miles Mel drives the buses in one year is 11,622.

Solution:-

= 39 x 298 = 11,622

The distance can also be calculated in miles if you know the speed and time it will take to travel a certain distance. Just multiply the speed by the time. If the car is going 64 mph and he drives for 2 hours, he has traveled 130 miles. A conventional car can drive him 200,000 miles. Some well-maintained vehicles have over 300,000 total miles.

Currently, the average age of a US car is about 12 years. Choosing a well-made make and model can extend the life of your vehicle. A used car with a low annual average can be considered to have good mileage. Simply divide the mileage by the age of the car to get an annual average.

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Answer:

13$

Step-by-step explanation:

Dan purchased a set of knitting needles for $11 and 6 identical packs of yarn. The total cost was $89.

How muc\(rweds\)h did each pack of yarn cost?

The total cost of each pack of yarn is $13.

The total cost of an item is the sum of the cost of all items that are purchased. Total cost for more items can be found by multiplying the number of items and the cost of the individual item.

For the given situation,

There are two items purchased knitting needles and packs of yarn.

Cost of knitting needle = $11

Number of packs of yarn purchased = 6

Total cost = $89

Let the cost of yarn be x.

The cost of the yarn can be find by using the equation,

Total cost = Cost of knitting needle + (number of yarn purchased × x)

⇒ \(89=11+6x\)

⇒ \(6x=78\)

⇒ \(x=13\)

Hence we can conclude that the cost of each pack of yarn is $13.

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Answer: 19, 180, 181

Step-by-step explanation:

a^2 + b^2 = c^2

19^2 = 361

180^2 = 32,400

32,400 + 361 = 32,761

Square root of 32,761 = 181

Answer:

19,180,181

Step-by-step explanation:

I'm not rlly sure how to explain but I hope this helps though..!