35,423 ÷ 15 with a remainder

Answer:

89010

Step-by-step explanation:

1978 times 45 will equal 89010 its very simple step wise.

Answer:

89010

Step-by-step explanation:

Answer: x=8

Step-by-step explanation:

Divide 2 on both sides to make it equal to x. So 16/2 equals 8. x=8

Answer:

\(\frac{2x}{2}=\frac{16}{2} \\x=8\)

Step-by-step explanation:

x = 8 is the final answer. If any questions please put them in the comments. If not have a great day!

Answer:

x = 2

z = 85°

Step-by-step explanation:

95° + z = 180°

z = 180 - 95

z = 85°

z + (11x + 73) = 180°

85 + (11x + 73) = 180°

11x + 85 + 73 = 180°

11x + 158 = 180°

11x = 180 - 158

11x = 22

x = 22/11

x = 2

Answer:

thats bustin bustin

Step-by-step explanation:

Answer:

x = 28

y = 23

Step-by-step explanation:

3y + 5y-4 = 180*

8y = 184

y = 23

*This equation can be written because the same-side interior angle to the (5y-4) angle equals '3y' due to being vertical angles

3y = 2x + 13  (This equation is justified because angles are 'corresponding')

3(23) = 2x + 13

69 = 2x + 13

56 = 2x

x = 28

The value of W that will render the equivalent future worth in year 8 equal to $−500 at an interest rate of 10% per year is $-65.22.

Given information

The interest rate per year = 10%

Given future worth in year 8 = -$500

Formula to calculate the equivalent future worth (EFW)

EFW = PW(1+i)^n - AW(P/F,i%,n)

Where PW = present worth

AW = annual worth

i% = interest rate

n = number of years

Using the formula of equivalent future worth

EFW = PW(1+i)^n - AW(P/F,i%,n)...(1)

As the future worth is negative, we will consider the cash flow diagram as the cash flow received.

Therefore, the future worth at year 8 = -$500 will be considered as the present worth at year 8.

Present worth = $-500

Using the formula of present worth

PW = AW(P/A,i%,n)

We can find out the value of AW.

AW = PW/(P/A,i%,n)...(2)

AW = -500/(P/A,10%,8)

AW = -$65.22

Using equation (1)EFW = PW(1+i)^n - AW(P/F,i%,n)

EFW = 0 - [-65.22 (F/P, 10%, 8) - 0 (P/F, 10%, 8)]

EFW = 740.83

Therefore, the value of W that will render the equivalent future worth in year 8 equal to $−500 at an interest rate of 10% per year is $-65.22.

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After rounding to three decimal places, the margin of error for a 99% confidence interval for the population mean is 1.373 dollars.

To find the margin of error for a 99% confidence interval for the population mean, we'll follow these steps:

1. Find the critical value (z-score) for a 99% confidence interval. You can use a z-table or an online calculator. For a 99% confidence interval, the critical value is approximately 2.576.

2. Find the standard deviation of the sample. The problem states that the population standard deviation is 2.5 dollars.

3. Calculate the standard error by dividing the standard deviation by the square root of the sample size:
Standard Error = (Standard Deviation) / sqrt(Sample Size)
Standard Error = \(2.5 / \sqrt{22}\)
Standard Error ≈ 0.533

4. Multiply the critical value by the standard error to find the margin of error:
Margin of Error = Critical Value * Standard Error
Margin of Error = 2.576 * 0.533
Margin of Error ≈ 1.373

After rounding to three decimal places, the margin of error for a 99% confidence interval for the population mean is 1.373 dollars.

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Rounding to three decimal places, the margin of error is 1.911 dollars.

The margin of error for a 99% confidence interval for the population mean can be calculated using the following formula:

\(Margin of error = z\times (sigma / sqrt(n))\)

where:

z = the critical value of the standard normal distribution for a 99% confidence level, which is 2.576

sigma = the population standard deviation, which is 2.5 dollars

n = the sample size, which is 22

sqrt = the square root function

Plugging in the values, we get:

\(Margin of error = 2.576 \times (2.5 / \sqrt(22)) = 1.911\)

99% confident that the true population mean of adult entrance fees to amusement parks in the United States is within 1.911 dollars of the sample mean of 61 dollars.

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Answer: 50 1/4

Step-by-step explanation:

Answer:

5,234

Step-by-step explanation:

Answer:

The balance when the account went into overdraft was -38.02

Explanation:

Let x be the balance when the account went into overdraftTo get back to a positive balance he deposited money at a steady rate of $20.06 per week. Amount deposited per week = $20.06Amount deposited 8 weeks = Now amount in account after 8 weeks =x+160.48We are given that After 8 weeks, he had $122.46 in the account.So,x+160.48=122.46x=122.46-160.48x=-38.02

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

the closest measurement to the volume of the prism in cubic inches is

J. \(12 inches^3.\)

What is volume?

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Many forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry. We will discover how to find the volume for each of these shapes.

from the question:

We must multiply the rectangular prism's length, width, and height to determine its volume. We can observe from the photograph that the rectangle's dimensions are roughly 5.5 inches long and 4 inches wide. Hence, the rectangular prism's volume is:

Volume = Length x Width x Height

= 5.5 inches x 4 inches x 218 inches

= 4 x 5.5 x 218 \(inches^3\)

= 4 x 1199 \(inches^3\)

= 4796\(inches^3\)

4796 cubic inches is the result when we round this response to the nearest whole number. J. 12 inches3 is the measurement that most closely approximates the prism's volume in cubic inches.

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Answer:

$154

Step-by-step explanation:

Hope this helps :)

The gardener used 40.5 gallons of gasoline in his lawn mowers in the one month.

Let's say the amount of gasoline used in the lawn mowers is x gallons.

Then, the rest of the gasoline (61.5 - x) would have been used for other purposes.

Since the total amount of gasoline used is 61.5 gallons, we can set up an equation:

x + (61.5 - x) = 61.5

Simplifying this equation, we get:

x + 61.5 - x = 61.5

Combining like terms, we get:

61.5 = 61.5

This equation is true, so we know that our assumption that x is the amount of gasoline used in the lawn mowers is correct.

Therefore, the gardener used x = 40.5 gallons of gasoline in his lawn mowers in the one month.

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Answer:

0.8= 2.1448=2.1379

Step-by-step explanation:

Answer:

0.8/2.1448/2.1379

Step-by-step explanation:

I got right(Plato/Edmentum

Answer:

130

Step-by-step explanation:

325 ÷ 2.5

= 130

325 divided by 2.5 is equal to 130

To divide 325 by 2.5, we can simplify the calculation by multiplying both the dividend and the divisor by 10 to eliminate the decimal point.

Thus, 325 divided by 2.5 is equivalent to (325 * 10) divided by (2.5 * 10), which becomes 3250 divided by 25.

Dividing 3250 by 25 gives us the quotient of 130.

Therefore, 325 divided by 2.5 is equal to 130. By multiplying both the dividend and divisor by 10, we effectively remove the decimal point and simplify the division process.

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a) the series converges when |x| < 1, the interval of convergence is (-1, 1) in interval notation.
b) the series converges for all x, the interval of convergence is (-∞, ∞) in interval notation.

c) both the Ratio Test and the Root Test yield the same result for the radius of convergence, but the Root Test is simpler to use

What does convergence mean?

The ability to go closer to a limit as a function's argument changes or grows or as the number of terms in the series does is a property (exhibited by some infinite series and functions).

(a) Using the Ratio Test:

We have the series\(∑(k=0)^{\infty} x^k / (4k(k+7)).\)

Let's apply the Ratio Test:

\(lim(k - > \infty) |(x^{(k+1)} / (4(k+1)((k+1)+7))) / (x^k / (4k(k+7)))|\)

Simplifying the expression, we get:

\(lim(k - > \infty) |x^{(k+1)} / (4(k+1)(k+8))| * |4k(k+7) / x^k|\)

The absolute values and constants cancel out, resulting in:

\(lim(k- > \infty) |x / ((k+1)(k+8))|\)

As k approaches infinity, both (k+1) and (k+8) approach infinity, and the expression becomes:

\(lim(k - > \infty) |x / (k^2 + 9k + 8)|\)

To find the limit, we can focus on the highest power term in the denominator, which is k². Dividing both the numerator and denominator by k², we get:

lim(k→∞) |x / (1 + 9/k + 8/k²)|

As k approaches infinity, the terms 9/k and 8/k² both approach zero, and the expression becomes:

lim(k→∞) |x / 1| = |x|

For the series to converge, |x| must be less than 1. Therefore, the radius of convergence, R, is 1.

To find the interval of convergence, we consider the values of x for which the series converges.

Since the series converges when |x| < 1, the interval of convergence is (-1, 1) in interval notation.

(b) Using the Root Test:

We have the series ∑(k=0)^(∞) x^k / (4k(k+7)).

Let's apply the Root Test:

lim(k→∞) (|x^k / (4k(k+7))|)^(1/k)

Simplifying the expression, we get:

lim(k→∞) (|x / (4k(k+7))|)^(1/k) * |x / (4k(k+7))|^(1/k)

The limit of (1/k) as k approaches infinity is 0, so the expression becomes:

lim(k→∞) (|x / (4k(k+7))|)^(0) * |x / (4k(k+7))|

Simplifying further:

lim(k→∞) |x / (4k(k+7))|

As k approaches infinity, the denominator becomes large, and the expression approaches zero. Thus, the limit is:

lim(k→∞) |x / (4k(k+7))| = 0

For the series to converge, the limit must be less than 1. However, the limit is always 0, which is less than 1 for all values of x. Therefore, according to the Root Test, the radius of convergence, R, is infinite (∞).

Since the series converges for all x, the interval of convergence is (-∞, ∞) in interval notation.

(c) In this case, both the Ratio Test and the Root Test yield the same result for the radius of convergence, but the Root Test is simpler to use.

The Root Test only involves taking the limit of the absolute value of the terms raised to the power of 1/k, whereas the Ratio Test requires taking the ratio of consecutive terms and evaluating a limit involving

hence, a) the series converges when |x| < 1, the interval of convergence is (-1, 1) in interval notation.
b) the series converges for all x, the interval of convergence is (-∞, ∞) in interval notation.

c) both the Ratio Test and the Root Test yield the same result for the radius of convergence, but the Root Test is simpler to use

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Answer:

y = -28

Step-by-step explanation:

y=-4x

Let x=7

y = -4*7

y = -28

Answer:

D) 2.1

Step-by-step explanation:

HOPE IT HELPS YOU

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

Answer: 2.1 I think please don’t be mad if I’m wrong

Step-by-step explanation:

The we need to find a function f(x) that satisfies the above conditions and whose integral is easy to evaluate.

The answer is (B) diverges.

The answer is (A) converges.

Let's use the integral test to determine the convergence of the following series:

Find the integrand and integrate it.

The integral test states that if f(x) is a positive, continuous, and decreasing function on [1, infinity) such that the series ∑n=1 to infinity of f(n) converges, then the series ∑n=1 to infinity of a(n) also converges, where a(n) = f(n) for all n.

Integrating f(x) from c-1 to infinity, we get:

Integrating f(x) from 1 to infinity, we get:

Compare the sum to the integral.

Since f(x) is positive and decreasing, we can use the integral test to compare the series to the integral.

If the integral converges, then the series converges as well.

If the integral diverges, then the series diverges as well.

The integral ln(11) - ln(c+9) diverges as c approaches infinity, so the series diverges as well.

Since f(x) is positive and decreasing, we can use the integral test to compare the series to the integral.

If the integral converges, then the series converges as well.

If the integral diverges, then the series diverges as well.

The integral ln(10) - ln(1+1/10) converges.

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Answer: \(y \leq -\frac{x}{2}-\frac{7}{2}\)

Step-by-step explanation:

\(-x-2y \geq 7\\\\x+2y \leq -7\\\\2y \leq -x-7\\\\y \leq -\frac{x}{2}-\frac{7}{2}\)

Answer:

Step-by-step explanation:

a) 729 = 3 * 3 * 3 * 3 * 3 * 3

\(\sqrt[3]{729}=\sqrt[3]{3*3*3*3*3*3}=3*3 = 9\)

b) 5832 = 2 * 2 * 2 * 3*3* 3 * 3 * 3 * 3

\(\sqrt[3]{5832}=\sqrt[3]{2*2*2* 3*3*3 *3*3*3}=2*3*3 = 18\)

\(j) 0.064= \dfrac{64}{1000}=\dfrac{2*2*2*2*2*2}{2*2*2*5*5*5}\\\\\\\sqrt[3]{0.064}=\sqrt[3]{\dfrac{2*2*2* 2*2*2}{2*2*2 *5*5*5}}= \dfrac{2*2}{2*5}=\dfrac{4}{10}=0.4\)

\(n) \sqrt[3]{\dfrac{512}{3375}}=\sqrt[3]{\dfrac{2*2*2*2*2*2*2*2*2}{5*5*5*3*3*3}}=\dfrac{2*2*2}{5*3}=\dfrac{8}{15}\)

The speed of red light in a diamond, denoted as vred, is approximately equal to the speed of light in a vacuum, c, which is 2.998 × 10^8 m/s, rounded to four significant figures.

According to the principles of optics and the refractive index of a material, the speed of light in a medium is generally lower than its speed in a vacuum. The refractive index of a diamond is approximately 2.42.

To calculate the speed of red light in a diamond, we can use the formula vred = c / n, where c represents the speed of light in a vacuum and n represents the refractive index of the diamond.

Substituting the given values, we have vred = (2.998 × 10^8 m/s) / 2.42. Evaluating this expression yields a result of approximately 1.239 × 10^8 m/s.

Rounding this value to four significant figures, we obtain the speed of red light in a diamond, vred, as approximately 1.239 × 10^8 m/s.

Therefore, the speed of red light in a diamond, rounded to four significant figures, is approximately 1.239 × 10^8 m/s, which is slightly lower than the speed of light in a vacuum, c.

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Answer:

3/4x+3-2x= −5 /4 x+3

Step-by-step explanation:

yw <3 IMAO

The probability of the product of the given expressions is in the form of x² - (by)² is equal to 1/6.

As given in the question,

Given four expressions are:

( x + y ) , ( x + 5y ) , ( x - y ) and ( 5x - y )

Product of any two expression to have two degree expressions :

( x + y )( x + 5y ) = x² + 6xy + 5y²

( x + y )( x - y ) = x ² - y²

( x + y )( 5x - y ) = 5x² + 4xy -y²

( x + 5y )( x - y ) = x² + 4xy -5y²

( x + 5y )( 5x - y ) = 5x² + 24xy -5y²

(x - y) ( 5x - y) = 5x² - 6xy + y²

Total number of possible outcome of the product with degree 2 = 6

Favourable outcomes in the form of x² - ( by )² is x² - y² = x² -(1y)²

Here b = 1 is an integer.

Number of favourable outcomes = 1

Required probability = 1/6

Therefore, the probability of the product in the form of x² - ( by )² is equal to 1/6.

The complete question is:

If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product will be of the form of x2 – (by)2, where b is an integer?

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Answer:

The height of the flagpole is approximately 5.774 meters.

Step-by-step explanation:

Let's call the height of the flagpole h. We can use trigonometry to set up the following equation:

tan(30°) = h/10

Simplifying this equation, we get:

h = 10 tan(30°)

Using a calculator, we find that tan(30°) ≈ 0.5774, so:

h ≈ 5.774 meters

Therefore, the height of the flagpole is approximately 5.774 meters.

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The values of x in the interval [0, 2π] that satisfy the equation 8sin(2x) = 4 are π/12 and 5π/12.

To find the values of x that satisfy the equation 8sin(2x) = 4 in the interval [0, 2π], we can solve for x by isolating sin(2x) first and then finding the corresponding angles.

Let's solve the equation step by step:

8sin(2x) = 4

Divide both sides of the equation by 8:

sin(2x) = 4/8

sin(2x) = 1/2

To find the values of x, we need to determine the angles whose sine is 1/2. These angles occur in the first and second quadrants.

In the first quadrant, the reference angle whose sine is 1/2 is π/6.

In the second quadrant, the reference angle whose sine is 1/2 is also π/6.

However, since we're dealing with 2x, we need to consider the corresponding angles for π/6 in each quadrant.

In the first quadrant, the corresponding angle is π/6.

In the second quadrant, the corresponding angle is π - π/6 = 5π/6.

Now, let's find the values of x in the interval [0, 2π] that satisfy the equation:

For the first quadrant:

2x = π/6

x = π/12

For the second quadrant:

2x = 5π/6

x = 5π/12

Therefore, the values of x in the interval [0, 2π] that satisfy the equation 8sin(2x) = 4 are π/12 and 5π/12.

So, the comma-separated list of values is π/12, 5π/12.

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Answer:

300

Step-by-step explanation:

hope this helps