You talk to a friend who lives in a different state.She tells you that today is it 12 degrees below zero where she lives.You tell her it is 54 degrees where you live.What is the difference in temperatures?

Answer:

Width is 41 inches

Step-by-step explanation:

Subtract 12 since there are two sides with lengths of 6, then divide that by to get the width of one of the sides

Answer:

communtative

explanation:

You can multiple in any order and it does not change the solution.

Answer: A rectangle is a 4-sided polygon where all four of its angles are right angles. Normally, the longer side is called the length and the shorter side is called the width. If all the sides are of equal length then it will be called a square. Area of rectangle = length × width.

Exlpination: A polygon is a closed figure with three or more straight sides. For example, a triangle is a polygon with three sides, a rectangle is a polygon with four sides, and a pentagon is a polygon with five sides.

Answer:

its a rectangle yea have a nice time

If Evie takes out a loan of 600 and this debt increases by 24% every year then  Evie will owe about £3,275.1

After 1 year, Evie's debt will increase by 24%, which means she will owe:

600 + 0.24(600) = 744

After 2 years, her debt will increase by another 24%, making it:

744 + 0.24(744) = 922.56

We can see that after each year, her debt will increase by 24% of the previous year's balance.

Therefore, after 12 years, her debt will be:

600(1 + 0.24)¹² = 600(5.4585)

= 3275.10

Hence, Evie will owe about £3,275.10

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Answer:

B.False

Step-by-step explanation:

Because it built different

X=4,Y=7

Step-by-step explanation:

By using the statements AE = EB, ∠CAB = ∠CBA, and mCB = mCAB, we can prove that triangle ABC is isosceles. The following statements can be used to prove that triangle ABC is isosceles:

AE = EB

∠CAB = ∠CBA

mCB = mCAB

To prove that AE = EB, we can use the fact that an altitude of a triangle bisects the base. This means that AD divides BC into two segments of equal length, BD and CD. Since AE and EB are the projections of AD onto AB and AC respectively, they must also be equal in length.

To prove that ∠CAB = ∠CBA, we can use the fact that the angles opposite equal sides of a triangle are equal. Since AE = EB, we know that ∆AED and ∆CEB are congruent by SSS. This means that ∠AED = ∠CEB, and since ∠AED + ∠CEB = ∠CAB + ∠CBA, we have ∠CAB = ∠CBA.

To prove that mCB = mCAB, we can use the fact that the base angles of an isosceles triangle are equal. Since ∠CAB = ∠CBA, we know that ∆ABC is isosceles, and therefore mCB = mCAB.

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To calculate the intrinsic value of Z Corp. stock, we can use the Gordon Growth Model.

Which assumes that the stock's value is the sum of its future dividends discounted at the required rate of return. The formula for the intrinsic value is as follows:

Intrinsic Value = Dividend / (Required Rate of Return - Expected Growth Rate). Using the given information, we can calculate the intrinsic value of Z Corp. stock. The most recent dividend paid was $3.00, and the expected constant growth rate is 8%. The required rate of return is given as 12%. Plugging these values into the formula, we get: Intrinsic Value = $3.00 / (0.12 - 0.08) = $3.00 / 0.04 = $75.00

Therefore, the intrinsic value of Z Corp. stock is $75.00. This means that, according to the Gordon Growth Model, the stock is undervalued at its current price of $45. Investors may consider purchasing the stock at this price since it offers a potential upside in terms of future dividend payments and capital appreciation. However, it is important to note that this valuation is based on certain assumptions, and investors should conduct further analysis and consider other factors before making investment decisions.

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- Span{v1, v2, v3, 0} is equal to the span of {v1, v2, v3}.
- Span{v1, v1-v2, v3} is equal to the span of {v1, v2, v3}.
- Span{v1, v2} is NOT equal to the span of {v1, v2, v3}.

Let's analyze each of the sets of vectors to determine if they are equal to the span of {v1, v2, v3}:
1. Span{v1, v2, v3, 0}:
This set is equal to the span of {v1, v2, v3} because adding the zero vector (0) does not affect the linear independence or the span of the other vectors.

A span is the set of all possible linear combinations of the vectors, and since the zero vector does not change the linear combinations, the span remains the same.
2. Span{v1, v1-v2, v3}:
This set is also equal to the span of {v1, v2, v3}.

The reason is that the vector (v1-v2) can be written as a linear combination of v1 and v2: (v1-v2) = 1*v1 + (-1)*v2.

Since all vectors in this set can be expressed as linear combinations of {v1, v2, v3}, the span remains the same.
3. Span{v1, v2}:
This set is NOT equal to the span of {v1, v2, v3} because it is missing the vector v3.

Since v1, v2, and v3 are linearly independent, removing one of them (v3 in this case) means that the set cannot span the same space as {v1, v2, v3}.

It has a lower dimension, and therefore, the span is different.

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Answer:

a) A region below both lines

b) A region above both lines

c) No solution

d) A region between both lines

Step-by-step explanation:

a) The lines shadings overlap below both lines

b) The lines shadings overlap above both lines

c) The lines shadings don’t overlap

d) The lines shadings overlap between both lines

Answer:

$ 4.00 ,7643579065466890555890

SOLUTION

The parent function is

Fron the image of the graph, there is a reflection along the x- axis and y-axis.

Consider the image below

Therefore, thegraph function is

The required equation for the cost of renting a moving van is

            y = $39.99 + $0.19 m

According to the question we have been given that

     Rental fee = $39.99

 Additional charge = $0.19

Let the y represent the cost of renting a moving van  

and m represent the number miles driven by the van.

The expression can be formed as

            y = (fixed charge) + m*(additional charge)

            y = $39.99 + $0.19 m

hence the required equation for the cost of renting a moving van is

            y = $39.99 + $0.19 m

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Answer:

1-0.2=0.8

0.8*3300= 2640

Original price = 3300

sale = 20% = 3300×20/100 = 660

Selling price= 3300-660= 2640 rs

the sale price of the bicycle is 2640 Rs

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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Answer:

Below

Step-by-step explanation:

Move it to the other side of the fraction ( make it an inverse to change it to a + exponent)

Examples     5^-2 =   1/ ( 5^2)

      1 / (x^-23)   = x ^23

     x^2 y^-3  = x^2 / y^3           etc

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

81.59%

Explanation:

To find the percentage, we first need to standardize $7100. To standardize, we subtract the mean and then divide by the standard deviation. So, $7100 is equivalent to:

Now, the percentage of day care costs that are more than $7100 is equivalent to the probability that z is greater than -0.9, so:

P(x > $7100) = P(z > -0.9)

Finally, we can use the standard normal distribution table to get:

P(z > -0.9) = 0.8159

So, the answer is 81.59%

If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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The 90% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases is approximately [-6.62, 22.02].

The critical value that should be used in constructing the confidence interval.

Since we are looking for a 90% confidence interval, we need to find the critical value associated with a 5% level of significance in a two-tailed test.

Using a t-distribution with (n1-1) + (n2-1) degrees of freedom and a significance level of 0.05, we find the critical value to be:

t-critical = 1.717 (using a t-distribution table or a calculator)

Step 2 of 3:

Next, we need to find the standard error of the sampling distribution to be used in constructing the confidence interval.

Since the population variances are not equal, we need to use the Welch-Satterthwaite equation to calculate the standard error:

SE = sqrt[(\(s1^2\)/n1) + (\(s2^2\)/n2)]

where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Substituting the given values, we get:

SE = sqrt[(\(19.25^2\)/17) + (\(26.25^2\)/12)]

SE ≈ 8.35

Step 3 of 3:

To construct the 90% confidence interval, we can use the formula:

(mean1 - mean2) ± t-critical * SE

where mean1 and mean2 are the sample means, and t-critical and SE are the values calculated in steps 1 and 2.

Substituting the given values, we get:

= (84.80 - 77.10) ± 1.717 x 8.35

= 7.70 ± 14.32

Therefore,

The 90% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases is (approx) [-6.62, 22.02].

We can be 90% confident that the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases falls within this interval.

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The probability of two planes having no cracks is 0.063 and The probability of no plane having critical cracks is 0.405.

(a) The probability of one plane having a critical crack is 10% or 0.10. The probability of two planes having detectable cracks is (0.21)^2 = 0.0441. The probability of two planes having no cracks is (0.69)^2 = 0.4761. So, the desired probability is 0.10 * 0.0441 * 0.4761 = 0.063.

(b) To find the probability that at least one plane has critical cracks, we can use the complementary probability approach, i.e., finding the probability that no plane has critical cracks and then subtracting it from 1. The probability of no plane having critical cracks is (0.90)^5 = 0.595. So, the desired probability is 1 - 0.595 = 0.405.

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Therefore, the probability that the rate of return is at least 10% is 0.5.

The missing part of your question is:

What is the probability that the rate of return is at least 10%?

Solution:Given,Rate of Return (percentage)

Probability9.50.39.80.210.00.110.20.110.60.3

We are to find the probability that the rate of return is at least 10%.Hence, we need to add the probabilities that the rate of return is 10% and above:

Probability (rate of return is at least 10%) = Probability

(rate of return is 10%) + Probability(rate of return is 10.2%) + Probability(rate of return is 10.6%)= 0.1 + 0.1 + 0.3= 0.5.

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To find the specific position function x(t) for an object with an acceleration function a(t) = 10cos(4t) ft./sec², an initial velocity v0 = 5 ft./sec, and an initial position x0 = -6 ft

The acceleration function a(t) represents the second derivative of the position function x(t). Integrating the acceleration function once will give us the velocity function v(t), and integrating it again will yield the position function x(t).

Integrating a(t) = 10cos(4t) with respect to t gives us the velocity function:

v(t) = ∫10cos(4t) dt = (10/4)sin(4t) + C₁.

Next, we apply the initial condition v(0) = v₀ = 5 ft./sec to determine the constant C₁:

v(0) = (10/4)sin(0) + C₁ = C₁ = 5 ft./sec.

Now, we integrate v(t) = (10/4)sin(4t) + 5 with respect to t to find the position function x(t):

x(t) = ∫[(10/4)sin(4t) + 5] dt = (-5/2)cos(4t) + 5t + C₂.

Using the initial condition x(0) = x₀ = -6 ft, we can solve for the constant C₂:

x(0) = (-5/2)cos(0) + 5(0) + C₂ = C₂ = -6 ft.

Therefore, the specific position function describing the motion of the object is:

x(t) = (-5/2)cos(4t) + 5t - 6.

To find the position when t = 5, we substitute t = 5 into the position function:

x(5) = (-5/2)cos(4(5)) + 5(5) - 6 ≈ -11 ft (rounded to the nearest integer).

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We need to find the vertex of the quadratic equation -0.001x² + 8x - 7000. The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -0.001 and b = 8. Plugging in the values, we get x = -8/(2*(-0.001)) = 4000. the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases. Option (b) is the correct answer. It's worth noting that we can also verify that this is a maximum by checking the sign of the leading coefficient (-0.001) - since it is negative, the quadratic opens downwards, meaning that the vertex represents a maximum point.
The manufacturer's profit is given by the equation P(x) = -0.001x^2 + 8x - 7000. To find the value of x that maximizes the profit, we need to determine the vertex of the parabola. The x-coordinate of the vertex is found using the formula x = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively.

In this case, a = -0.001 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2 * -0.001) = 4000

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

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The lowest integer value m can take in the inequality 7m + 5 > 49 - 3m is 5.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

In other words, Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's solve the inequality for the lowest integer value of m

7m + 5 > 49 - 3m

add 3m to both sides of the inequality

7m + 5 > 49 - 3m

7m + 3m + 5 > 49 - 3m + 3m

10m + 5 > 49

subtract 5 from both sides of the inequality

10m + 5 > 49

10m + 5 - 5 > 49 - 5

10m > 44

m > 44 / 10

m > 4.4

Hence,

lowest integer = 5

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The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

The expression (1.4 × 10¹)(8 × 10⁴) in scientific notation is 1.12 × 10⁵ and for expression (1.1 × 10⁻⁵)(3 × 10²) the  scientific notation is 3.3 × 10⁻³

The given expressions are (1.4 × 10¹)(8 × 10⁴) can be calculated as:

Firstly we will multiply the decimal numbers and whole numbers

1.4 × 8

One point four times eight is equal to eleven point two

= 11.2

Now we multiply the base with ten

10¹ × 10⁴

We know that when the bases are same then the powers will be added in multiplication

= 10⁵

Combining these results, we have 11.2 × 10⁵

Therefore, the result in scientific notation is 1.12 × 10⁵

Similarly, for (1.1 × 10⁻⁵)(3 × 10²)

We will multiply the decimal numbers and whole numbers

1.1 × 3 = 3.3

Now the base with ten will be multiplied

10⁻⁵ × 10²

The bases are same the powers will be added

= 10⁻³

Combining these results, we have 3.3 × 10⁻³

Therefore, the result in scientific notation is 3.3 × 10⁻³

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The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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The area of the cross-section of the sphere with a volume of approximately 5575.3 m³ is approximately 330.29 m².

To find the area of the cross-section of a sphere, we need the radius of the sphere. However, given only the volume of the sphere (approximately 5575.3 m³), we cannot directly determine the radius.

The volume of a sphere is calculated using the formula:

V = (4/3) * π * r³,

where V is the volume and r is the radius of the sphere.

To find the radius, we can rearrange the formula:

r = ((3 * V) / (4 * π))^(1/3).

Substituting the given volume into the formula, we have:

r = ((3 * 5575.3) / (4 * π))^(1/3).

Using the value of π as approximately 3.14159, we can calculate the radius:

r ≈ ((3 * 5575.3) / (4 * 3.14159))^(1/3) ≈ 10.25 m.

Now that we have the radius (approximately 10.25 m), we can calculate the area of the cross-section of the sphere.

The formula for the area of a cross-section of a sphere is:

A = π * r².

Substituting the radius we found, we have:

A = π * (10.25)² ≈ 330.29 m².

The area of the cross-section of the sphere with a volume of approximately 5575.3 m³ is approximately 330.29 m².

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