What are the two words that allow you to check your division problem backward?

Answer:

2143

Step-by-step explanation:

2 × 4^5 + 10 (5 × 2) -10 ÷ 2

= 2 × 4^5 + 10 × 10 (-10) ÷ 2

= 2 × 4^5 + 10 × 10 - 10 ÷ 2

= 2 × 4^5 + 10 × 10 - 5

= 2048 + 100 - 5

= 2148 - 5

= 2143

Answer:

Your answer is 2143

Step-by-step explanation:

2 × 4^5 + 10 × 10 - 10 ÷ 2

*How i got the -5 is becuase 10/2 = 5

= 2 × 4^5 + 10 × 10 - 5

* How i go the 100 is becuase 10 *10 = 100

2048 + 100 - 5

How i go 2148 is becuase 2048+100 = 2148

2148 - 5

Answer = 2143

Answer: 15.99

Step-by-step explanation:

16 - 0.01 = 15.99

Another way to think about this is, if you add 0.01 to 15.99, youd get back to 16

Answer:

18 /25 mi^2

Step-by-step explanation:

To find the area take the length times the width

A = lw

A = 9/10* 4/5

A = 36/50

Simplifying

A = 18/25

Following a reflection along the x-axis, polygon ABCD is translated 4 units to the left.

The coordinates of Point A in the polygon ABCD are (1, -5).

Adding ABCD to the polygon,

Reflect the polygon ABCD across the x-axis in accordance with the rule.

A(x, y) → A'(x, -y) (x, -y) (x, -y)

According to this rule, A's coordinates are,

A(1, -5) → A'(1, 5) (1, 5) (1, 5)

ABCD is shifted 4 units further to the left.

These guidelines will apply to the translation:

A"(x - 4, y) = A'(x, y) (x - 4, y)

A'(1, 5) → A"(1 - 4, 5) (1 - 4, 5) (1 - 4, 5)

→ A"(-3, 5) (-3, 5) (-3, 5)

As a result, Polygon ABCD will eventually overlap Polygon A'B'C'D' through a series of transformations.

The polygon ABCD is translated 4 units to the left after being reflected across the x-axis.

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Answer:

thursday

Step-by-step explanation:

so the complete 100% accurate answer would be 0, youd have to pick the closest to that which is -2.

Answer:

The answer is Thursday -2.

Step-by-step explanation:

on edge

The average rate of change, in simplest form, is 4

What is the average rate of change?

It quantifies how much the function changed per unit on average over that time interval. The slope of the straight line connecting the interval's endpoints on the function's graph is used to calculate it.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

\(m= \frac{dy}{dx} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Using the coordinate points from the table (3, 8) and (4, 12)

Substitute the coordinate into the expression:

\(m= \frac{12-8}{4-3}\)

m = 4

Hence the average rate of change, in simplest form is 4.

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The derivative of the given expression using the chain rule is -e^(-t/τ) cos(ωt)/τ.

To find the derivative of the given expression using the chain rule, we need to apply the chain rule formula, which states that if y = f(u) and u = g(x), then:

dy/dx = dy/du * du/dx

In this case, we have:

y = e^(-t/τ) * sin(ωt)

u = -t/τ

f(u) = e^u

g(x) = -t/τ

Using the chain rule formula, we can find:

dy/dx = dy/du * du/dx

dy/du = d/dx(e^u) = e^u * du/dx

du/dx = -1/τ

Substituting these values, we get:

dy/dx = e^(-t/τ) * cos(ωt) * (-1/τ)

dy/dx = -e^(-t/τ) * cos(ωt)/τ

Therefore, the value obtained is -e^(-t/τ) * cos(ωt)/τ.

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There were total 276 guests in the wedding that Joy organised.

Given,

fraction of the guest that chose beef = 1/3

fraction of the guest that chose chicken = 5/12

fraction of the guest that chose vegetarian = 1  - 1/3 - 5/12 = 1/4

we are asked to find the total number of guests in the wedding:

guests that chose vegetarian = 1/4

guests that chose vegetarian = 69

1/4 of the guest = 69

4/4 of the guest = 69 x 4 = 276

Hence there are total 276 guests in the wedding.

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Answer:

x = 4

Step-by-step explanation:

5 multiplied by x and 5 multiplied by -3

5x - 15 = 11 -3(x - 2)

-3 multiplied by x and -3 multiplied by -2

5x - 15 = 11 - 3x + 6

Add 15 to both sides

5x = 26 - 3x + 6

Add 3x to both sides

8x = 26 + 6

Add 26 + 6

8x = 32

Divide 32 by 8

x = 4

The axis of symmetry of a parabola with vertex (5, -10) is x = 5, which is a vertical line passing through the vertex.

The axis of symmetry of a parabola is a vertical line that passes through its vertex and divides the parabola into two mirror-image halves. In this case, the vertex of the parabola is given as (5, -10), which means the vertex lies on a horizontal line passing through the axis of symmetry.

The equation of the axis of symmetry can be written as x = h, where (h, k) is the vertex of the parabola.

As from the given points h corresponds to value '5'. Therefore, the axis of symmetry for this parabola is x = 5, which is a vertical line passing through the point (5, -10).

To visualize this, you can imagine folding the parabola along its axis of symmetry. The left and right halves of the parabola will overlap perfectly, creating a symmetrical shape.

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Answer:

9

Step-by-step explanation:

Mathematically, OPPOSITES are the same distance away from zero, but on opposite sides of zero on the number line. Use the drawing tools to plot a point at the opposite of each colored point. The absolute value of 0 is 0. Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.

Answer:

B) (2,0) and (0,-4)

Step-by-step explanation:

The answer to the system of equations is where the two intersect on the graph, in this case on the points (2,0) and (0,-4)

Answer:

Step-by-step explanation:

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

x= 40° y= 66° z=106° ....

The value of angles are x = 40° , y = 66°, z = 106°

Since there are two parallel lines and two intersecting lines forming a triangle we will use the properties of lines and triangles to find out the value of x,y,z. First of all y = 66° because of the vertical angle theorem, which means that adjacent angles formed by the intersection of two lines are supplementary or equal to 180° degrees. The third angle of the triangle formed is 74°. Using the sum of all angles of the triangle is equal to 180° we can find the third angle of triangle x which is equal to 40°. Now z can be found using the property sum of two opposite interior angles which will come out to be 106°. Hence by this, we can find all the angles.

I hope this answer helps.

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'As extreme as (or more extreme than)' means considering sample outcomes that are as different from the null hypothesis as, or even more different than, the observed sample. It measures the likelihood of obtaining a sample statistic that deviates significantly from what would be expected under the null hypothesis.

It is important that the null hypothesis be true because the p-value quantifies the probability of observing a sample statistic as extreme as, or more extreme than, the observed sample, assuming the null hypothesis is true. It helps determine the strength of evidence against the null hypothesis.

When they say 'as extreme as (or more extreme than),' they mean considering sample outcomes that are as different from the null hypothesis as, or even more different than, the observed sample.

Essentially, they are referring to the magnitude or direction of the observed sample statistic relative to what is expected under the null hypothesis. The p-value calculates the proportion of such extreme or more extreme samples.

It is important for the null hypothesis to be true because the p-value assesses the probability of observing a sample statistic as extreme as, or more extreme than, the observed sample, assuming the null hypothesis is true.

The null hypothesis represents the notion of no effect or no difference between groups, and by assuming it to be true, we can evaluate the likelihood of obtaining the observed sample data by chance alone. If the null hypothesis is false, the p-value may not accurately reflect the underlying reality.

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Answer:

180°

Step-by-step explanation:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.

Answer:

Amount Blaine save = $250

Step-by-step explanation:

Total take home pay = $2,500

Original budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $235

Cellphone + Internet = $250

Gym membership = $180

Total = $2,500

New budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $200

Cellphone + Internet = $175

Gym membership = $40

Total = $2,250

How much will these choices save him each month?

Amount Blaine save = Total take home - new budget

= $2,500 - $2,250

= $250

Amount Blaine save = $250

The formula states that the nth-degree Taylor polynomial for a function f(x) about x = a is given by Pn(x) = f(a) + f'(a)(x - a) + (1/2!)f''(a)(x - a)^2 + (1/3!)f'''(a)(x - a)^3 + ... + (1/n!)f^n(a)(x - a)^n.

In this case, we want to find the Taylor polynomial of order 4 for f(2) about 7/3. To do this, we need to evaluate f(2), f'(2), f''(2), f'''(2), and f''''(2) at x = 7/3, and substitute these values into the formula. The resulting polynomial will approximate the function f(x) = cos(2x) near x = 7/3 up to the fourth-degree term.(b) To generalize the above, let's find the Taylor polynomial of order 2n for f(2) about x = #/3.

Following the same procedure as before, we need to evaluate f(2), f'(2), f''(2), f'''(2), ..., f^(2n)(2) at x = #/3, and substitute these values into the Taylor formula. The resulting polynomial will approximate the function f(x) = cos(2x) near x = #/3 up to the (2n)-degree term. By increasing the order of the polynomial, we can achieve a more accurate approximation of the function in the vicinity of x = #/3.

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Answer:  324 squared

Step-by-step explanation:

ok so you do 3 times 3 times 4 times 3 times 3

The piecewise equation for the function shown in the diagram is \(f(x)=\left \{ {{{[\frac{9}{10}x+5.9\ \ \ -6 \leq x\leq -1 } \atop {[2\ \ \ \ \ \ \ \ \ \ \ -1 < x\leq 2}} \atop {[-\frac{5}{2}x+6\ \ \ 2 < x\leq 6 }} \right.\)

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

From the diagram using the point (-6, 0.5) and (-1, 5):

y - 0.5 = [(5 - 0.5)/(-1 - (-6))](x - (-6))

y = (9/10)x + 5.9

Also, using the point (2, 1) and (4, -4):

y - 1 = [(-4 - 1)/(4 - 2)](x - 2)

y = -(5/2)x + 6

The piecewise equation for the function shown in the diagram is \(f(x)=\left \{ {{{[\frac{9}{10}x+5.9\ \ \ -6 \leq x\leq -1 } \atop {[2\ \ \ \ \ \ \ \ \ \ \ -1 < x\leq 2}} \atop {[-\frac{5}{2}x+6\ \ \ 2 < x\leq 6 }} \right.\)

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Answer:

Set the equation up like this (6x - 21) = 45

Add 21 to each side

6x = 66

Now divide each side by 6

x = 11

Hope this helps!

The equation for the cosine function is given as;cos(x) = 3 cos(π/2 x) + 5

A cosine function is defined as follows;cos(x) = a cos(b(x - h)) + kwhere a is the amplitude, period is 2π/b, and k is the midline. The amplitude, period, and midline of a cosine function can be used to find its equation.In this case,

we have a cosine function that has a midline of y=5, an amplitude of 3 and a period of 4/π. Thus, the amplitude of the function is given as 3, the midline is given as 5, and the period is 4/π.

The amplitude is the vertical distance from the midline to the highest point on the curve and also to the lowest point on the curve. The period is the distance over which the cosine function completes one full oscillation, or cycle.

In this case, we have a period of 4/π, so we can find b by the formula b = 2π/period = 2π/(4/π) = π/2.To find the phase shift, h, we use the formula h = x₀ - (π/b), where x₀ is the x-coordinate of the maximum or minimum value of the cosine function.

Since the midline is y=5, the maximum value of the cosine function occurs when y=8 and the minimum value occurs when y=2. The maximum and minimum values occur when cos(b(x - h)) = 1 and cos(b(x - h)) = -1, respectively.

Therefore, we have;8 = 5 + 3, cos(b(x - h)) = 1when x - h = 0, so x₀ = h2 = 5 - 3, cos(b(x - h)) = -1when x - h = π/b

Thus, h = 0 for the maximum value, and h = π/2 for the minimum value. We choose the value of h that corresponds to the maximum value of the cosine function, so h = 0.

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Using the exponential distribution, it is found that there is a 0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.

The exponential probability distribution, with mean m, is described by the following equation:

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability that x is lower or equal to a is given by:

\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)

Which has the following solution:

\(P(X \leq x) = 1 - e^{-\mu x}\)

In this problem, the mean and the decay parameter are, respectively, given by:

\(m = 50, \mu = \frac{1}{50} = 0.02\).

The probability that a randomly selected part will fail in less than 20 hours is given by:

\(P(X \leq 20) = 1 - e^{-0.02 \times 20} = 0.3297\)

0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.

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Answer:

$200

Step-by-step explanation:

So 1/5 of th3 money is $80 so you would multiply 80 by 5 you would get 400

then it asks what is 50% of 400 so you would divide 400 by 2 which gives you 200

200 is your answer

In conclusion: a. There is not enough evidence to suggest a significant difference between the proportions of smoking employees who quit in hospitals with the smoking ban and workplaces without the ban. b. The 99% confidence interval for the difference between the two proportions is approximately (0.022 - 0.025, 0.022 + 0.025), or (-0.003, 0.047).

To analyze the difference between the two proportions and construct the confidence interval, we can use a hypothesis test and confidence interval for the difference in proportions.

Let's define the following variables:

n₁ = number of smoking employees in hospitals with the smoking ban = 843

n₂ = number of smoking employees in workplaces without the smoking ban = 703

x₁ = number of smoking employees who quit in hospitals with the smoking ban = 56

x₂ = number of smoking employees who quit in workplaces without the smoking ban = 27

a. Hypothesis Test:

To determine if there is a significant difference between the two proportions, we can set up the following hypotheses:

Null hypothesis (H₀): p₁ = p₂ (The proportion of employees who quit smoking is the same in hospitals with the smoking ban and workplaces without the ban)

Alternative hypothesis (H₁): p₁ ≠ p₂ (The proportions of employees who quit smoking are different in the two settings)

We can use the Z-test for comparing proportions. The test statistic is calculated as:

Z = (p₁ - p₂) / sqrt(p * (1 - p) * (1/n₁ + 1/n₂))

Where p = (x₁ + x₂) / (n₁ + n₂) is the pooled sample proportion.

We will perform the hypothesis test at a 0.01 significance level (α = 0.01).

b. Confidence Interval:

To construct the confidence interval for the difference between the two proportions, we can use the following formula:

CI = (p₁ - p₂) ± Z * sqrt(p * (1 - p) * (1/n₁ + 1/n₂))

We will construct a 99% confidence interval, which corresponds to a significance level (α) of 0.01.

Now, let's perform the calculations:

a. Hypothesis Test:

First, calculate the pooled sample proportion:

p = (x₁ + x₂) / (n₁ + n₂) = (56 + 27) / (843 + 703) ≈ 0.069

Next, calculate the test statistic:

Z = (p₁ - p₂) / sqrt(p * (1 - p) * (1/n₁ + 1/n₂))

= (56/843 - 27/703) / sqrt(0.069 * (1 - 0.069) * (1/843 + 1/703))

≈ 2.232

With α = 0.01, we have a two-tailed test, so the critical Z-value is ±2.576 (from the standard normal distribution table).

Since the calculated test statistic (2.232) is less than the critical Z-value (2.576), we fail to reject the null hypothesis. There is not enough evidence to suggest a significant difference between the two proportions.

b. Confidence Interval:

Using the formula for the confidence interval:

CI = (p₁ - p₂) ± Z * sqrt(p * (1 - p) * (1/n₁ + 1/n₂))

= (56/843 - 27/703) ± 2.576 * sqrt(0.069 * (1 - 0.069) * (1/843 + 1/703))

≈ 0.022 ± 0.025

The 99% confidence interval for the difference between the two proportions is approximately 0.022 ± 0.025.

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Answer:

1. 12

2. 4:5

3. 5

4. 30

5. 42

6. 15

7. 36

8. 1120

9. 10 2/3

Step-by-step explanation:

Answer:

In photo

Step-by-step explanation:

The total area of the painting and frame is 248 inches squared.

Area is the size of a two-dimensional surface, typically defined by its length and width. It is an important concept in mathematics and is used to measure different shapes and figures. Area is also commonly used to measure the size of land, such as a city block or a region of a country. Areas can be measured in square meters, square kilometers, hectares, square feet, and many other units. Knowing the area of a shape or space can be helpful when planning a project or understanding how much space something requires.

Using the given equation, \(f(x) = x2 + 14x + 40\), we can solve for the area of the painting and frame.

\(f(x) = x2 + 14x + 40\)

\(f(x) = (x + 6)2 + 2(x + 6)(2) + 2(2)(2)\)

\(f(x) = x2 + 12x + 36 + 4x + 24 + 16\)

\(f(x) = x2 + 16x + 56\)

We are told that the longer side of the frame is 14 inches long, so x = 8.

\(f(8) = 8^2 + 16(8) + 56\)

\(f(8) = 64 + 128 + 56\)

\(f(8) = 248 \ \text{in}^2\)

Therefore, the total area of the painting and frame is 248 inches squared.

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