Given the figure below find the values of x and z

Answer:

103 pledges

Step-by-step explanation:

The equation we have here is;

C = 8n + 25

Now we need to find n given that c is $850

simply substitute for the value of c in the question

850 = 8n + 25

850-25 = 8n

825 = 8n

n = 825/8

n = 103.125

But since a pledge cannot be fractional, we can say that n = 103

The solution of the expressions are;

1. 61u - y + y² + 27

2. - z - 92

3. 86b² + 2bv + 67v - vz + 38

4. 32ax + 73x² - 83 + 94a²cv

5. 92z² + v² + vz + 1

What is an expression?

Mathematical expression is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expressions are;

1. 61u + 1 - 1 - 1 - y + ay³/ay + 28

2. - 91z - z - 43 + 91z - 1 + 1 + 1 -50

3. bv + bv + 1 + 63 - 26 + 86b² + 67v - vz

4. 576acvx/18cv + 73x * x - 83 - a (-94c) av

5. 92z² + 1 + v - 1 + vz + 2v³/2v + 1

Now, Solve the expressions as;

1. 61u + 1 - 1 - 1 - y + ay³/ay + 28

⇒ 61u + 1 - 1 - 1 - y + ay³/ay + 28

⇒ 61u - 1 - y + y² + 28

⇒ 61u - y + y² + 27

2. - 91z - z - 43 + 91z - 1 + 1 + 1 -50

⇒ - 91z - z - 43 + 91z - 1 + 1 + 1 -50

⇒ - z - 43 - 49

⇒ - z - 92

3. bv + bv + 1 + 63 - 26 + 86b² + 67v - vz

⇒ bv + bv + 1 + 63 - 26 + 86b² + 67v - vz

⇒ 2bv + 38 + 86b² + 67v - vz

⇒ 86b² + 2bv + 67v - vz + 38

4. 576acvx/18cv + 73x * x - 83 - a (-94c) av

⇒ 576acvx/18cv + 73x * x - 83 - a (-94c) av

⇒ 32ax + 73x² - 83 + 94a²cv

5. 92z² + 1 + v - 1 + vz + 2v³/2v + 1

⇒ 92z² + 1 + v - 1 + vz + 2v³/2v + 1

⇒ 92z² + v + vz + v² + 1

⇒ 92z² + v² + vz + 1

So, The solution of the expressions are;

1. 61u - y + y² + 27

2. - z - 92

3. 86b² + 2bv + 67v - vz + 38

4. 32ax + 73x² - 83 + 94a²cv

5. 92z² + v² + vz + 1

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A. FALSE

B. TRUE

(a) If f is continuous at a point x, then it is differentiable at x: False.

Explanation: A function can be continuous at a point, but it need not be differentiable at that point.

This is possible because continuity requires a function to approach the same value from both sides of the point of interest, whereas differentiability requires a function to have a well-defined tangent at that point.

(b) If f is differentiable at a point x, then it is continuous at x: True.

Explanation: A function that is differentiable at a point x must also be continuous at that point. This is because if the function has a derivative at x, the limit of the difference quotient must exist, which requires that the function be continuous at that point.

As a result, the differentiability of a function at a point is a more stringent criterion than its continuity at that point.

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C(x) = 3.50x + 70 is the linear cost function for Joanne's T-shirt manufacture.

To break even, Joanne needs to create and sell 20 T-shirts.

For a $800 profit, Joanne has to print and sell 240 T-shirts.

a. Let C(x) be the cost function for producing x T-shirts. Since Joanne's marginal cost is $3.50 per T-shirt, her total cost for producing x T-shirts can be expressed as:

C(x) = 3.50x + FC

where FC is the fixed cost of production. We can solve for FC using the information that her total cost to produce 80 T-shirts is $370:

C(80) = 3.50(80) + FC = $370

Simplifying, we get:

FC = $70

Therefore, the linear cost function for Joanne's T-shirt production is:

C(x) = 3.50x + 70

b. To break even, Joanne's total revenue from selling x T-shirts must equal her total cost of producing them. Her revenue from selling x T-shirts can be expressed as:

R(x) = 7x

Setting R(x) equal to C(x), we get:

7x = 3.50x + 70

Simplifying and solving for x, we get:

x = 20

Therefore, Joanne must produce and sell 20 T-shirts to break even.

c. To make a profit of $800, Joanne's total revenue from selling x T-shirts must exceed her total cost of producing them by $800. This can be expressed as:

7x - (3.50x + 70) = $800

Simplifying and solving for x, we get:

x = 240

Therefore, Joanne must produce and sell 240 T-shirts to make a profit of $800.

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Answer: Choice D)  1 - sec^2(a) = tan^2(a) is not an identity.

================================================

Explanation:

a) is the pythagorean trig identity assuming you meant to write sin^2(a)+cos^2(a) = 1

b) is a rewritten version of tan = sin/cos. You multiply both sides by cos(a).

c) is an identity that you can find through dividing everything in equation (a) by sin^2. I'm assuming you meant to put exponent symbols before each "2".

d) is not an identity. I recommend looking at a table or graph that compares the two sides as separate functions. You should see they are not the same. The actual identity should be sec^2(a) - 1 = tan^2(a). You divide both sides of equation (a) by cos^2 and do a bit of algebra to get it into this form.

Answer:

9\(\sqrt{2}\)

Step-by-step explanation:

9^2 = 81

81 + 81 = 162 = 9\(\sqrt{2}\)

Answer:

Part A

The Quadratic Function to model the total number of bricks the stack is f(x) = x²

Part B

The number of bricks we will have for 50 rows is 2500 bricks

Step-by-step explanation:

Part A

Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c

We have;

When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0

∴ c = 0

When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1

∴ a + b = 1...(1)

When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2  = 4

∴ 4·a + 2·b = 4...(2)

Multiply equation (1) by 2, and subtract it from equation (2) gives;

4·a + 2·b - 2×(a + b) = 4 - 2 × 1

2·a = 2

a = 1

From equation (1), we have;

b = 1 - a = 1 - 1 = 0

b = 0

∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²

Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²

Part B

If there are 50 rows in the stack, then we have, x = 50

Therefore;

f(50) = 50² = 2500

The number of bricks we will have for 50 rows is f(50) = 2500 bricks

(just found it on brainly)

Answer: about 14 days or 2 weeks

Step-by-step explanation:

A principal amount of P 200,000 was deposited for a period of 4 years and 6 months, and it earned an interest of P 85,649.25. To find the rate of interest compounded monthly, we can use the formula for compound interest and solve for the interest rate.

The formula for compound interest is given by A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we are given the principal amount P as P 200,000, the final amount A as P 285,649.25 (P 200,000 + P 85,649.25), the time t as 4 years and 6 months (or 4.5 years), and we need to find the interest rate r compounded monthly (n = 12).

Using the given values in the compound interest formula and solving for r, we can find the rate of interest. By rearranging the formula and substituting the known values, we can isolate the interest rate r and calculate its value.

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The distances between potholes along the highway have an exponential distribution with parameter λ = 0.02368 / m.a)   value of the median distance is 29.3 km.

Probability that the distance is at most 100 m is given by P(X ≤ 100) = F(100) = 1 - e^(-λx)  = 1 - e^(-0.02368 x 100)  = 1 - e^(-2.368)  = 0.8865Probability that the distance is at most 200 m is given by P(X ≤ 200) = F(200) = 1 - e^(-λx)  = 1 - e^(-0.02368 x 200)  = 1 - e^(-4.736)  = 0.9801

Probability that the distance is between 100 and 200 m is given by P(100 < X < 200) = F(200) - F(100)  = (1 - e^(-0.02368 x 200)) - (1 - e^(-0.02368 x 100))  = e^(-2.368) - e^(-1.184)  = 0.0936b) Mean distance (μ) = 1/λ = 1/0.02368  = 42.226 km Standard deviation (σ) = 1/λ = 1/0.02368  = 42.226 kmP(X > μ + σ) = P(X - μ > σ) = P((X - μ)/σ > 1)

We know that (X - μ)/σ has a standard normal distribution with mean 0 and standard deviation 1.

Therefore, P((X - μ)/σ > 1) = P(Z > 1) = 0.1587 (from standard normal distribution table)c) Median distance (M) = ln(2)/λ  = ln(2)/0.02368  = 29.3 km Therefore,  the value of the median distance is 29.3 km.

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Answer:

$560

Step-by-step explanation:

200+30x

x being each month

A patent is a form of intellectual property that gives an individual or organization the exclusive right to manufacture, use, and/or sell an invention for a set period of time.

The length of a patent varies by country, but generally lasts for 20 years from the date the patent is filed with the government. This period can be extended in certain cases if the patent office grants a patent term extension.

The formula for calculating the length of a patent is: Length of Patent = Initial 20 Year Period + Extension. The initial 20 year period starts from the filing date of the patent application and is the same for all countries. However, the length of the extension varies depending on the country and the circumstances of the patent. For example, some countries may offer a 5-year extension, while others may offer a 10-year extension.

The length of a patent must be carefully calculated so that the patent owner can maximize the benefits of the patent. By calculating the patent length and extension, the patent owner can ensure that they are able to take advantage of their exclusive right to the invention for the maximum amount of time possible.

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Answer: the denominator is 9. Improper fraction. This is a fraction where the numerator is greater than the denominator. Mixed number.

Step-by-step explanation:

The simplified form of the given expression ( a⁴b²c³d ) / acbd is equal to (a³bc² ) .

As given in the question,

Given expression :

 ( a⁴b²c³d ) / acbd

Simplified form of the given expression using rules of power and exponents:

Since this is division of algebraic fractions, the index (power or exponent) of the like literals in the numerator and denominator are to be subtracted. Thus index of variable a reduces from 4 to 1. Similarly index of variable b reduces from 2 to 1 and that of c reduces from 3 to 2. Lastly variable d remains in the denominator as there is no corresponding factor in the numerator.

( a⁴b²c³d ) / acbd

= (a⁴⁻¹ )(b²⁻¹ )(c³⁻¹ )(d¹⁻¹)

= a³ bc²d⁰

= a³bc²

Therefore, the simplified form of the given expression ( a⁴b²c³d ) / acbd is equal to (a³bc² ) .

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Answer:

First you find the volume of the pyramid:

1. find the area of the base:

A= 15 x 5= 75

2. Multiply the Area of the rectangle by the height; h= 12 and si use the result by 3.

V= A x h /3 =. 75 x 12 = 900 /3

V= 300

3. If only 1/2 is filled, that means

V= 300/2= 150 in3 is filled and

150 in3 of marbles is needed to fill the container.

Answer: 150

Step-by-step explanation:

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Answer:

15

Step-by-step explanation:

(3/5)*25=15

The standard deviation for the data set 6, 7, 9 and 10 is 1.58 in decimal form.

Standard deviation is a statistical measure that quantifies the amount of variation or dispersion in a set of data points. In other words, it measures how spread out the data points are around the mean (average) of the data set.

To calculate the standard deviation for the given data set using the standard deviation formula in Excel, use the following steps:

1. Calculate the squared deviations of each data point from the mean.

2. Find the mean of the squared deviations.

3. Take the square root of the mean of squared deviations to get the standard deviation.

Given data set: 6, 7, 9, 10

Mean: 8

Step 1: Calculate the squared deviations from the mean:

\((6 - 8)^2\) = 4

\((7 - 8)^2\) = 1

\((9 - 8)^2\) = 1

\((10 - 8)^2\) = 4

Step 2: Find the mean of the squared deviations:

Mean of squared deviations = (4 + 1 + 1 + 4) / 4 = 2.5

Step 3: Take the square root of the mean of squared deviations to get the standard deviation:

Standard Deviation = √2.5

                                 = 1.58

So, the standard deviation for this data set is 1.58.

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Answer:

(-5,5)

Step-by-step explanation:

Answer:

The DJ can play at the dance for 6 Hours

Step-by-step explanation:

1. Add the decorations and food plus the additional fee of $12

 $175+ $125= $300

2. Subtract the budget and the total so far

 750-300= 450

3. Get the amount owed per hour to DJ and divide by the new budget

  450/75= 6

The DJ can play at the dance for 6 hours

Have a good day!

Answer:

175+125-750/75.

Step-by-step explanation:

B. The data shows a positive, linear association.

To determine the association between height and weight of the ten boys, we will first observe the data points provided. We can compare the increase or decrease in height with the corresponding increase or decrease in weight to identify a pattern.

Here's a list of height and weight pairs:
(60, 125), (63, 139), (65, 155), (61, 136), (70, 170), (55, 108), (58, 116), (61, 139), (64, 129), (57, 121)

Upon observing these pairs, we can see that as height increases, weight generally increases as well. For example, when height increases from 55 inches to 70 inches, weight increases from 108 pounds to 170 pounds. This pattern can also be seen in other data pairs.

This means that there is a direct relationship between the height and weight of the boys, where taller boys tend to weigh more, and shorter boys tend to weigh less.

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Answer:

The answer is 14. Not -14.

Step-by-step explanation:

The value of x for the given triangle will be 14.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the perimeter of the equilateral triangle shown is 67.5 inches. One side of the triangle is 1.75x - 2.

Perimeter = 3 ( 1.75x - 2 )

67.5 = 5.25x -6

x = ( 73.5 / 5.25 )

x = 14

Therefore, the value of x for the given triangle will be 14.

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40 quarters, 100 dimes total for now is 20$ and if u add 250 nickels, it will be 25$

Hope this helps!

Answer:

$11.50

Step-by-step explanation:

0.25 times 6= 1.5, plus 10= 11.50

Options (a) and (b) can be used to find the measure of angle ABC.

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

In a right triangle, the cosine of one of the acute angles is equal to the ratio of the adjacent side to the hypotenuse, and the sine of the angle is equal to the ratio of the opposite side to the hypotenuse.

Using the given information, we can use the cosine function to find the measure of angle ABC:

cos(∠ABC) = adjacent/hypotenuse = CB/BA = 6.3/9.8

Option (a) and (b) show the inverse cosine of the ratio of adjacent over hypotenuse, which is the correct expression to use to find the measure of angle ABC in degrees:

(a) \($ \cos^{-1} \frac{9.8}{6.3}\)

(b)  \($ \cos^{-1} \frac{6.3}{9.8}\)

Option (c) shows the inverse cosine of the ratio of opposite over hypotenuse, which is not relevant to finding the measure of angle ABC.

Option (d) shows the inverse sine of the ratio of the hypotenuse over the opposite side, which is also not relevant to finding the measure of angle ABC.

Therefore, options (a) and (b) can be used to find the measure of angle ABC.

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Answer:

16

Step-by-step explanation:

50-42=8

8 times 2 is 16

Answer:

16

Step-by-step explanation:

42+8=50 then you double that number and 8x2 is 16 therefore the number must be 16

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²

                      = x(x  - 3y) - 2y(x - 3y)

                      = (x - 3y)(x -2y)

x² - 4xy + 3y² = x² -xy - 3xy + 3y²

                      = x(x - y) - 3y(x - y)

                      = (x - y)(x - 3y)

x² - 3xy + 2y² = x² - xy - 2xy + 2y²

                      = x(x - y) - 2y(x - y)

                     = (x - y)(x - 2y)

Least common denominator = (x-y)(x - 2y)(x - 3y)

\(RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}\)

Pool Capacity = 540 gallons

Saturday = 180 gallons

Hose water rate = 9 gallons per minute

540 = 180+9m

Where m is the number of minutes (independent variable)

Solve for m :

540-180 = 9m

360 = 9m

360/9= m

40 =m

It will take 40 minutes.