HELP FAST PLEASE Solve for the measure of angle A 41 29

The equivalent expressions of the expression  (3/4)x-1 are (3x/4) - 1, 3x/4 - 4/4 and 0.75x - 1

The given expression is (3/4)x-1

Three divided by four times of x minus one

We have to find three equivalent expressions of given expression

Equivalent expressions are expressions that work the same even though they look different.

(3x/4) - 1

3x/4 - 4/4

and 0.75x - 1 are equivalent expressions

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Answer:

Step-by-step explanation:

17

The volume of the composite solid, rounded to the nearest hundredth, is: 213.33 cubic centimeters.

The solid given is composed of two square pyramids. Therefore, to find the volume of the composite solid, apply the formula below:

Volume of composite solid = 2(1/3 * length * width * height)

Given the following dimensions:

Length = 8 cm

Width = 8 cm

Height = 5 cm

Plug in the values:

Volume of composite solid = 2(1/3 * 8 * 8 * 5)

≈ 213.33 cubic centimeters (to the nearest hundredth).

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The box that replaces the question mark is Box D.

Option D is the correct answer.

We have,

In a figure pattern, the concept used involves identifying and recognizing the underlying rules or principles that govern the sequence of figures.

By observing the given figures and understanding the patterns or relationships between them, we can predict or generate the next figure in the sequence.

From the pattern,

We see that,

The figure is rotating clockwise.

Now,

The box that replaces the question mark would be:

Box D

Thus,

The box that replaces the question mark would be Box D

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Step-by-step explanation:

3^2x = 11

we take the logarithm (to the base of 3) of both sides.

log3(3^2x) = log3(11)

2x = log3(11) = log(11)/log(3)

x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =

= 1.091329169... ≈ 1.09

Answer:

3^2x = 11

we take the logarithm (to the base of 3) of both sides.

log3(3^2x) = log3(11)

2x = log3(11) = log(11)/log(3)

x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =

= 1.091329169... ≈ 1.09

Step-by-step explanation:

Casey will earn $595.42 more interest with annual compound interest compared to annual simple interest over 10 years.

Simple interest is paid just on the initial amount deposited or borrowed and is computed as a percentage of the principal amount. In other words, interest earned or charged is calculated purely on the principal amount, without taking into consideration interest from prior periods. On the other hand, compound interest adds the principal amount to the interest earned or charged in prior periods to determine the interest earned or charged in the current period. In comparison to simple interest, compound interest results in higher overall interest payments or earnings since the interest generated or charged climbs exponentially over time. Compound interest is more prevalent and beneficial for long-term investments in general.

The compound interest is given as:

[tex]A = P(1 + r/n)^{(nt)}[/tex]

Substituting the values of P = 500, n = 1, r = 0.06 and t = 10 we have:

[tex]A = P(1 + r/n)^{(nt)} = 500 * (1 + 0.06/1)^{(1*10)} = $895.42[/tex]

Now, simple interest is given as:

SI = Prt = 500 * 0.06 * 10 = $300

Now, the difference is:

895.42 - 300 = $595.42

Hence, Casey will earn $595.42 more interest with annual compound interest compared to annual simple interest over 10 years.

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Answer: 5 mm 6 mm

Step-by-step explanation:

The area of a triangle ABC is 496.25 square feet. Therefore, option B is the correct answer.

Given that, in the triangle ABC, m∠B = 83°, a = 25 feet, and c = 40 feet.

The area of a triangle can be expressed using the lengths of two sides and the sine of the included angle. Area of a triangle = ½ ab sin C.

Here, area of a triangle = 1/2 ×25×40 sin83°

= 25×20×0.9925

= 496.25 square feet

Therefore, option B is the correct answer.

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1) 9 × 1 × 4

2) 1 × 4 × 0 = 1 × 4 × 0

3) 8 + 9 = 3 + 11

4) 8 + 7 + 2 = 20 ÷ 2 + 7

Answer:

[tex]\bold{f(x) = 375(2.5)^{-x}+ 33}[/tex]

Step-by-step explanation:

An exponential function of form f(x) = ba^(-x) + c has a horizontal asymptote of y = c as x approaches infinity, and a y-intercept of (0, b + c). We can use the given information to set up a system of equations and solve for the unknowns.

The horizontal asymptote is given as y = 33, so we have:

c = 33

The y-intercept is given as (0, 408), so we have:

b + c = 408

Substituting c = 33, we get:

b + 33 = 408

b = 375

So the function we're looking for is of the form:

[tex]\bold{f(x) = 375a^{-x}+ 33}[/tex]

To find a, we use the fact that the function passes through P(2, 93):

93 = 375a^(-2) + 33

60 = 375a^(-2)

a^2 = 375/60

a^2 = 6.25

a = [tex]\sqrt{6.25 } =2.5[/tex]

Therefore, the exponential function that satisfies the given conditions is:

[tex]\bold{f(x) = 375(2.5)^{-x}+ 33}[/tex]

The probability of winning the Exacta bet if you pick the horses at random is given by P ( A ) = 0.26 %

Given data ,

The Kentucky Derby had 20 horses running in the race in 2016. The number of ways to pick the first horse is 20, as any of the 20 horses could finish in the first spot. Once the first horse is picked, there are 19 remaining horses that could finish in the second spot.

Therefore, the total number of outcomes for two horses finishing in the first two spots (i.e., the Exacta bet) is 20 multiplied by 19, which is 380.

Since there is only one winning Exacta combination out of the 380 possible outcomes, the probability of winning the Exacta bet by randomly picking two horses is 1/380, which is approximately 0.0026, or 0.26%.

Hence , the probability is 0.26 %

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The probability that all men will be interview first is 0.05.

Probability helps with finding out the likelihood of the occurrence of an event and measures chance of an event happening.

Given data:

Men = 3

Women = 3

Total people:

= 3 + 3

= 6

Probabilities of men:

P(first man) = 3/6 = 1/2

P(second man) = 2/5

P(third man) = 1/4

Required probability is:

P(first 3 men) = 1/2 * 2/5 * 1/4

P(first 3 men) = 0.05

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Answer:

70%

Step-by-step explanation:

you do it

The exponential decay can be written as:

y = 550mg*(1 - 0.066)^t

A general exponential decay can be written as:

y = A*(1- r)^x

Where A is the initial amount, r is the rate of decay, and x is the variable.

Here we know that we start with a sample of 550 mg, and this sample decays at a rate of 6.6% per year.

Then the amount of sample that we have after t years is given by the exponential decay:

y = 550mg*(1 - 0.066)^t

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Note that where the above conditions are given, the probability of A ∩ B is 1/20 and the probability of the union of A  and B P( A∪B) = 2/5. See the explanation below.

We are given that A and B are events that are independent, P(A∩B), we can rightly state that:

P(A∩B ) = P(A) x P (B)

(1/5) x  (1/4)
= 1/20

For P(A∪B)
⇒ P( A ∪B) = P (A ) + P(B) - P(A ∩B)

We can substitute the probabilities to derive:

P(A∪B)  = (1/5) + (1/4) - (120)

We can write the above as:

⇒ 4/20 + 5/20 - 1/20
= 8/20

Simplifying , we get:

P(A∪B)  = 2/5

Hence it is correct to state that the P(A ∩ B) = 1/20, while P(A∪B) = 2/5.

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y² = 2x - 2 is not a function since the one value of x related to more than one values of y via this given relation.

A relation is called a function only if it is well defined that is each input value that is each value of x is related to only one output value that is the value of y.

Here given the relation is y² = 2x - 2

So, either y = + √(2x - 2) or y = - √(2x - 2)

For suppose one value of x is, x = 3.

y = + √(2*3 - 2) = + √(6 - 2) = + √4 = + 2

y = - √(2*3 - 2) = - √(6 - 2) = - √4 = - 2

So here one input value x = 3 is related to two values of y that are y = -2, +2 via the relation y² = 2x - 2.

Hence, y² = 2x - 2 is not a function.

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The two companies charge the same when the amount of sugar is 20 thirds per second and the cost when the two companies charge the same is $8,125.

What is amount?

Amount is a term used to describe the quantity or size of something. It can refer to a specific quantity of a substance, such as an amount of money or an amount of a particular material, or it can refer to a more abstract concept, such as an amount of time or effort.

To find the amount of sugar for which the two companies charge the same, we need to set the two costs equal to each other and solve for the amount of sugar.

Let x be the amount of sugar in third per second. Then, the cost C1 charged by the first company is:

C1 = 4500 + 175.25x

And the cost C2 charged by the second company is:

C2 = 3995 + 200.50x

To find the amount of sugar for which the two companies charge the same, we set C1 equal to C2:

4500 + 175.25x = 3995 + 200.50x

Solving for x, we get:

25.25x = 505

x = 20

Therefore, the two companies charge the same when the amount of sugar is 20 thirds per second.

To find the cost when the two companies charge the same, we can substitute x = 20 into either of the cost equations. Let's use C1:

C1 = 4500 + 175.25x

C1 = 4500 + 175.25(20)

C1 = 8125

Therefore, the cost when the two companies charge the same is $8,125.

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The formula for compound interest is given by:

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

Where:

A = final amount

P = principal (initial amount)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = time (in years)

Using this formula, we can calculate the final amount of the CD as follows:

A = 2250(1 + 0.03/4)^(4*2)

A = 2250(1 + 0.0075)^8

A = 2250(1.0075)^8

A = 2250(1.063853)

A = $2398.12 (rounded to the nearest cent)

Therefore, the CD will be worth approximately $2398.12 at maturity.

Answer:

(xyz + 1)

Step-by-step explanation:

We can use the identity:

[tex]a^2 - b^2 = (a + b)(a - b)[/tex]

to solve for the blank in this equation.

On the left side, we can identify a difference of two squares (a² - b²).

We can see that there is already an (a - b) term on the right, so in the blank, we just have to construct an (a + b) term:

(xyz + 1)

This satisfies the equation:

(xyz)² - 1 = (xyz + 1) · (xyz - 1)

The ratio 5 1⁄2 : 2 3⁄4 can be expressed in simplest form as 11 : 7.

Ratio is a mathematical comparison between two numbers, usually expressed as a fraction. It is used to compare quantities or measurements, and is a useful tool for understanding relationships between different values. Ratios can be used to solve problems and make decisions, as well as to measure and compare proportions in different situations.

This can be derived by multiplying the numerators and denominators of the two ratios by the same number, in this case 2. The resulting fractions are 11⁄2 and 5⁄2, which can then be simplified to 11 : 7.

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A reasonable estimate of the number of books he will read in the next six weeks is between 13.8 - 1.4 = 12.4 and 13.8 + 1.4 = 15.2 books.

Normal usually refers to the word "normal" in a normal distribution with mean μ and standard deviation σ, the z-score of a measure X is;

Z = (X - μ)/ σ

We are given that;

Books= 6.9

Number of weeks= 3

Error= + 0.7

Now,

The margin of error is the range of values that are likely to contain the true value of a measurement. In this case, the margin of error is + 0.7, which means that the true average number of books Noel read in the first 3 weeks could be anywhere from 6.9 - 0.7 = 6.2 to 6.9 + 0.7 = 7.6.

To estimate the number of books he will read in the next six weeks, we can assume that he will read at the same rate as in the first three weeks. This means that we can use a proportion to find the estimated number of books:

3/6 = (6.9 +/- 0.7)/x

where x is the estimated number of books in the next six weeks. Solving for x, we get:

x = (6.9 +/- 0.7) * (6/3) x = (6.9 +/- 0.7) * 2 x = 13.8 +/- 1.4

Therefore, by Statistics the answer will be 13.8 - 1.4 = 12.4 and 13.8 + 1.4 = 15.2 books.

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120 is the simple interest owed for the use of the money.

What does the phrase "simple interest" mean?

From the time when money was first lent until the time that it should be paid back with interest, this time frame is considered the borrowing period. The term or deadline for this is also an option. A percentage of the principle is how interest is most commonly computed.

P = $2000, r = 6%, t = 1 year

simple interest = P * r * t/100

                         = 2000 * 6 * 1/100

                        = 120

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The simple interest owed for the use of the money is $120.

Simple interest is the interest charge on a loan calculated using only the original principal amount and a fixed interest rate. It does not use compounding, which causes borrowers to pay interest on principal and interest that accumulates over numerous payment periods.

The simple interest formula is as follows:

SI = P * r * t

where I denotes simple interest, P denotes principal, r denotes interest rate (in decimal), and t denotes time period (in years).

When we substitute the provided values, we get:

SI = $2000 * 0.06 * 1

SI = $120

As a result, the simple interest for the usage of the money is $120.

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Step-by-step explanation:

a. #(x) = 0.23x^2 - 0.46x + 7.54 (numbers rounded to two decimal places)

b. To find the year at which the number of households living in poverty is at a minimum, we need to find the vertex of the quadratic function. The x-value of the vertex is given by -b/2a. Plugging in the values for a and b from the function in part (a), we get:

x = -(-0.46)/(2*0.23) = 1

So the minimum occurs in the year 1999 + 1 = 2000 (rounded to the nearest year).

c. To find the number of households living in poverty in 2000, we need to evaluate the function at x = 1 (since 2000 is 1 year after 1999). Plugging in x = 1 into the function from part (a), we get:

#(1) = 0.23(1)^2 - 0.46(1) + 7.54 = 7.40

So there were approximately 7400 households living in poverty in Asturias in 2000 (rounded to one decimal place).

Answer:

mark me brilliant

Step-by-step explanation:

The factory produces one box of potato chips every 4 minutes, which means in one minute, it produces 1/4 boxes.

So, in 20 minutes, the factory would produce:

(1/4) x 20 = 5 boxes

Therefore, the factory would make 5 boxes filled with potato chips in 20 minutes.

Answer:

Part A: Experiment: Rolling a fair six-sided die.

Part B: Sample space: {1, 2, 3, 4, 5, 6}. This sample space was determined by listing all possible outcomes of rolling a fair six-sided die.

I hope that's what you are looking for.

They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.

The correct option is D.

From the given points, we can write an exponential function in the form of f(x) = abˣ, where a and b are constants.

Using the point (-4, 9): 9 = ab⁻⁴

Using the point (0, 1): 1 = ab⁰ = a

Using the point (1, 0): 0 = ab¹

Using the point (5, -2): -2 = ab⁵

Solving these equations, we get a = 1 and b = 1/3. So, the function f(x) = 1(1/3)ˣ = (1/3)ˣ.

For function g(x), we can see that as x approaches -∞, g(x) approaches ∞ , and as x approaches ∞, g(x) approaches 0.

This is because as x gets more negative, 24 times 2⁻ˣ becomes a larger positive number, and as x gets larger, 2ˣ becomes a larger positive number causing the product to approach zero.

Therefore, the two functions have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞, making option D the correct answer.

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