I need help with a alexs math problem

9514 1404 393

Answer:

  B. infinite set of points on the line

Step-by-step explanation:

The lines are identical, so the set of points they have in common is an ...

  infinite set of points on the line

The required estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
To estimate the reduced Total Wages for the next two weeks combined, we can use the following formula:

Reduced Total Wages = Current Total Wages x (1 - Wage Reduction Percentage)

Reduced Total Wages = C × (1 - 0.025) × 2

Simplifying this expression, we get:

Reduced Total Wages = C × 0.975 × 2

Reduced Total Wages = 1.95C

Therefore, the estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.

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Answer:

OK so he gets 3000 a year

so 3000t is what we need. thats 3000 times the number of years.

His starting salary is 41250, so we would add that on.  

K = 3000t + 41250.

Step-by-step explanation:

Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

We need to compare their volumes.

We can use the formula:

Density = mass / volume

To solve for volume, we rearrange the formula:

Volume = mass / density

For nickel:

Volume = 130g / 8.90 g/cm³ = 14.61 cm³

For magnesium:

Volume = 60g / 1.78 g/cm³ = 33.71 cm³

Therefore, Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

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Answer:

The worker needs 3.74L of ingredient B

Step-by-step explanation:

Given

\(A:B = 1.3L:2.7L\)

Required

Determine the B equivalent of (1.3L + 0.5L) of A

\(A:B = 1.3L:2.7L\)

Convert to Fraction

\(\frac{A}{B} = \frac{1.3L}{2.7L}\)

\(\frac{A}{B} = \frac{1.3}{2.7}\) ----(1)

For the new mix of A

\(New\ A = 1.3L + 0.5L\)

\(New\ A = 1.8L\)

New A requires New B:

So:

We have:

\(New\ A: New\ B\)

Convert this to fraction;

\(Ratio = \frac{New\ A}{New\ B}\)

Substitut2 1.8L for New A

\(Ratio = \frac{1.8L}{New\ B}\) --- (2)

Equate (1) and (2)

\(\frac{1.8L}{New\ B} = \frac{1.3}{2.7}\)

Cross Multiply:

\(New\ B * 1.3 = 1.8L * 2.7\)

Divide through by 1.3

\(New\ B = \frac{1.8L * 2.7}{1.3}\)

\(New\ B = \frac{4.86L}{1.3}\)

\(New\ B = 3.74\ L\) (Approximated)

Hence;

The worker needs 3.74L of ingredient B

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

i not understand this question plase ask full question

Answer:

Step-by-step explanation:

a, e, f

The expression for the identity is given as;

cos(∠ABC-60°) = 3/10 - 2/5√3

Option D

From the information given, we have that the expression is given as;

cos(∠ABC-60°)

This is simplified as;

cos (B - 60)

Now, let us expand the bracket, we get;

(1/2)cos(B) + (sqrt(3)/2)sin(B).

We have that the identities are expressed as;

cos B = 3/5

sin B = 4/5

Substitute the values, we get;

cos(∠ABC-60°) = 1/2 × 3/5 - √3/2 × 4/5

divide the values, we have;

cos(∠ABC-60°) = 3/10 - 2/5√3

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9514 1404 393

Answer:

  x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}

Step-by-step explanation:

Using the trig identity ...

  cos(2x) = 1 -2sin²(x)

we can rewrite the equation as ...

  (1 -2sin²(3x)) -5sin(3x) +2 = 0

  2sin²(3x) +5sin(3x) -3 = 0 . . . . . standard form

  (sin(3x) +3)(2sin(3x) -1) = 0 . . . . factored form

There are no real values of x that will make the first factor zero. The second factor is zero when ...

  sin(3x) = 1/2

  3x = arcsin(1/2) +2nπ   or   (2n+1)π -arcsin(1/2)

  x = 1/3(π/6 +2nπ)   or   1/3((2n +1)π -π/6)

  x = (12n+1)π/18  or  (12n+5)π/18

  x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}

Answer:

Step-by-step explanation:

It looks like every time the coefficient increases by 3 while the exponent increases by 1.

\(\\45\\\sum 3(n+1)x^{n}\\n = 0\)

Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0

The exponent is simply n, because at the start is it zero \(x^0=1\), then 1, then 2, so on.

The upper limit is 45 because 45 - 0 = 45 terms

Answer:

hope it helps u

hope this is what u want

9514 1404 393

Answer:

  x = 9 or 25

Step-by-step explanation:

Taking antilogs and solving the quadratic, you have ...

  \(\dfrac{(x+15)^2}{x}=2^6\\\\x^2 +30x +225 = 64x\qquad\text{multiply by x}\\\\x^2 -34x +225 = 0\qquad\text{subtract $64x$}\\\\(x -25)(x -9)=0\qquad\text{factor}\\\\\boxed{x=25\quad\text{or}\quad x=9} \qquad\text{values that make the factors 0}\)

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

x=-5 ___________________

The question is an illustration of linear equation, and the solution to the linear equation is x = -5

The equation is given as:

\(\frac 23x - \frac 12 = \frac 13 + \frac 56x\)

Multiply through by 6

4x - 3 = 2 + 5x

Collect like terms

4x - 5x = 2 + 3

Evaluate the like terms

-x = 5

Divide both sides by -1

x = -5

Hence, the solution to the linear equation is x = -5

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A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459    , 24.8293 ) .

What is population mean?

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

Data: 18

for given data

\($$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$\)

as population variance is unknown so we used sample variance

\($$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$\)

Now

\(\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$\)

hence 95 % of population mean is

As n=101 which is large so critical value is 1.98397

\($$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$\)

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Answer:

3.5?

Step-by-step explanation:

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.

We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,

Average rate = (1750 - 0) / (600 - 100)

Average rate = 1750 / 500

Average rate = 3.5

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

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The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

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Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160

Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

Answer:

-90=\(x\)(\(x\)-18)

-90=\(x^{2}\)-18\(x\)

\(0=x^{2}-18x+90\)

\(x=9+3i or 9-3i\)

Step-by-step explanation:

you need to use quadratic formula and you will find square root a negative ( -9 ), which is an imaginary no.

square root (-9) = 3i

The correct answer is Mr. Jackson drove 480 miles in July.

Let's break down the information given step by step to determine the number of miles Mr. Jackson drove in July:

Mr. Jackson drove 40 miles in June.

In August, he drove 6 times as many miles as he did in June. Therefore, the distance he drove in August is 6 times 40, which equals 240 miles.

In July, he drove 2 times as many miles as he did in August. Therefore, the distance he drove in July is 2 times 240, which equals 480 miles.

Therefore, Mr. Jackson drove 480 miles in July.

Mr. Jackson drove 40 miles in June.

In August, he drove 6 times as many miles as he did in June. This means the distance he drove in August is 6 * 40 = 240 miles.

In July, he drove 2 times as many miles as he did in August. Since he drove 240 miles in August, the distance he drove in July is 2 * 240 = 480 miles.

So, Mr. Jackson drove 480 miles in July.

To summarize:

June: 40 miles

August: 240 miles

July: 480 miles

Therefore, based on the given information, Mr. Jackson drove a total of 480 miles in July.

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Answer: $3004166.02

Step-by-step explanation: Alrighty then so first we need a formula to solve which is A=Pe^rt which is the compounded continously formula you can find online or a textbook. The formula you should use a calculator to solve is $1,000,000e^0.055(20)= $3,004,166.024

It's not clear whether you're talking about the bounded region to the left or right of the y-axis, but due to symmetry it doesn't really matter.

The two curves y = 8 and y = 8x ² intersect for

8 = 8x ²   →   x ² = 1   →   x = -1, x = 1

but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.

Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or

π (64 - 64x ⁴) ∆x

Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,

∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹

… = π (64 - 64/5)

… = 256π/5

The two curves y = 8 and y = 8x ² intersect for

8 = 8x ²   →   x ² = 1   →   x = -1, x = 1

but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.

Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or

π (64 - 64x ⁴) ∆x

Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,

∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹

… = π (64 - 64/5)

… = 256π/5

THANKS

Solving equations with algebra tiles or balance scales is difficult due to its limitation which is explained below.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Because of their 2-d existence, algebra tiles can only model graduate degrees or reduced polynomials. Their physical nature furthermore restricts the number of different factors that can appear in the algebraic expressions they model, as well as the complexity of their understanding of contradiction and subtraction.

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The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

-127

Step-by-step explanation:

u(x)=2x-2

w(x)= -2x^2+1

w(u(5))=?

---------

u(5)= 2*5-2= 8

W(8)= - 2*64+1= -127

Answer:

that was the wrong answer this site sucks

Answer:

18:54 of student to classroom at both school to be the same