. Laura and Alicia both exercise 5 days a week. Laura exercises for 30 minutes each day. Alicia exercises for 45 minutes each day. How much longer does Alicia exercise than Laura each week?. Laura and Alicia both exercise 5 days a week. Laura exercises for 30 minutes each day. Alicia exercises for 45 minutes each day. How much longer does Alicia exercise than Laura each week?

For any triangle created by points u, v, and any point on the line r t other than s, it will be an isosceles triangle.

Isosceles triangle, in geometry, refers to a triangle that has at least two equal length sides. The isosceles triangle sometimes is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length. The triangle which has at least two sides of equal length includes the equilateral triangle as a special case. An isosceles triangle has two sides that are congruent to each other and the third side which is unequal to the other two sides is called the base of the isosceles triangle. The two angles opposite to the equal sides are congruent to each other. Hence, in the given situation, any triangle created by  u, v, and any point on the line r t other than s, will be an isosceles triangle as the sides UR and UV will always be equal.

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The probability that the sample mean would differ from the true mean by less than 5.4 months is approximately 1.0000 or 100%.

We are given the following information:

1. The mean life of a television set (µ) is 138 months.
2. The variance (σ²) is 324 months.
3. We have a sample of 83 televisions (n).
4. We want to find the probability that the sample mean (X) differs from the true mean by less than 5.4 months.

First, let's find the standard deviation (σ) by taking the square root of the variance:
σ = √324 = 18 months

Next, we'll find the standard error (SE) using the formula SE = σ / √n:
SE = 18 / √83 ≈ 1.974

Now, let's find the Z-score corresponding to the desired difference of 5.4 months:
Z = (5.4 - 0) / 1.974 ≈ 2.734

Using a Z-table or calculator, we find the probability corresponding to Z = 2.734 is approximately 0.9932. Since we're looking for the probability that the sample mean differs from the true mean by less than 5.4 months, we need to consider both tails of the distribution (i.e., the probability of the sample mean being 5.4 months greater or 5.4 months lesser than the true mean). So, we need to calculate the probability for -2.734 as well, which is 1 - 0.9932 = 0.0068.

Finally, we'll add the probabilities for both tails to get the answer:
P(-2.734 < Z < 2.734) = 0.9932 + 0.0068 = 1.0000

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Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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The value of x for the trapezoid quadrilateral is equal to 5.

The quadrilateral is an isosceles trapezoid, with a line parallel to both opposing lines splitting the other two unparallelly going lines into equal halves. Hence, according to normal relations, the mid length is 5x-1.

The lengths of the opposing sides are 21 and 27 respectively. As a result, we may write 2(5x - 1) = 21 + 27.

Growing further, 10x - 2 = 48

10x = 48 + 2

10x = 50

Divide all sides by ten.

x = 50/10

x = 5

As a result, the value of x is 5.

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Answer:

d all if these things are a part of self awareness

Answer:

d.  All of the above

Step-by-step explanation:

E2020

 To make the equation true, the two sides need to be equal, so a nonzero constant needs to be substituted in to equal 25. That constant is\(x = -5.\)
There are three equations for which there exist nonzero constants that can be substituted in to make them true:

The hint in the question suggests that as x approaches -5, the left side of the equation will approach zero while the right side will approach 25.

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Answer:

(x + 1)² = 4(y + 10)

Step-by-step explanation:

Equation of parabola:

(x - h)² = 4a(y - k)

with vertex(h, k) and focus (h, k + a)

vertex(h, k) = (-1, -10)

⇒h = -1 and k = -10

focus (h, k + a) = (-1, -9)

⇒ k + a = -9

⇒ -10 + a = -9

⇒ a = 10 - 9

⇒ a = 1

Equation of parabola:

(x - h)² = 4a(y - k):

(x - (-1))² = 4(1)(y - (-1))

= (x + 1)² = 4(y + 10)

Answer:

260 loaves

Step-by-step explanation:

January = 31 days

take the # of loaves / days =

8,060 / 31 = 260

so, 260 loaves

The number of loaves of bread made by the baker every day is 260.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a baker baked 8060 loaves of bread in January. If he baked the same number of loaves of bread every day.

Number = ( 8060) / 31

Number = 260

Therefore, the number of loaves of bread made by the baker every day is 260.

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Combining these, we have\($6 \times 6 = \boxed{36}$\) different arrangements of the numbers \(${}1,$ ${}2,$ ${}3,$ ${}4,$ ${}5,$ $6$\) in a row where the sum of any adjacent numbers is even.

Products intended for exporting after processing into goods or processed products are referred to as "basic products," as are goods planned for export after processing. Samples 1 - 3 Samples 2 - 3.

We may start by noting that at minimum one of the neighboring numbers must be even for the sum of both numbers to be even. This means that a even numbers (2, 4, 6) as well as the odd numbers (1, 3, 5) should be arranged in the appropriate positions.

Let's start by thinking about the even positions. The second, fourth, and sixth places are the only even positions. We can choose any variant of the 3 even numbers to occupy these spots, giving us\($3! = 6$\) ways.

Let's now think about the unusual positions. The first, third, and fifth positions are the only ones that are odd. We have an additional \($3! = 6$\)ways to fill these spots by using any combination of the 3 odd numbers.

Consider the odd locations now. The first, third, and fifth places are the three odd positions. We have an additional\($3! = 6$\)ways by using any permutation of the three odd numbers to fill these positions.

Together, this give us \($6 \times 6\) = \(\boxed{36}$\) different ways to arrange the numbers \(${}1,$ ${}2,$ ${}3,$ ${}4,$ ${}5,$ $6$\)in a row so that the sum of any two adjacent numbers is even.

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a. Using the cash basis of accounting, Al's gross income for 2021 is $479,400.

b. Using the accrual basis of accounting, Al's gross income for 2021 is $614,600.

c. Al should use the accrual basis of accounting for reporting his gross income.

a. Under the cash basis of accounting, income is recognized when it is received in cash. In this case, Al received cash of $516,600 for medical services in 2021. However, $37,200 of this amount was for services provided in 2020. Therefore, Al's gross income for 2021 using the cash basis is $516,600 - $37,200 = $479,400.

b. Under the accrual basis of accounting, income is recognized when it is earned, regardless of when the cash is received. In this case, Al earned $516,600 for medical services in 2021, including the $37,200 from 2020. Additionally, Al had accounts receivable of $88,000 at the end of 2021 for services rendered in 2021. Therefore, Al's gross income for 2021 using the accrual basis is $516,600 + $88,000 = $604,600.

c. It is advisable for Al to use the accrual basis of accounting because it provides a more accurate representation of his income by recognizing revenue when it is earned, even if the cash is received later. This method matches revenues with the expenses incurred to generate those revenues, providing a better overall financial picture. Using the accrual basis will also allow Al to track and report his accounts receivable accurately, providing a clearer understanding of his practice's financial health.

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Answer:(x + 7, y - 4).

Step-by-step explanation:

The coordinate notation for a translation of 7 units right and 4 units down is (x,y) -> (x + 7, y - 4). This transformation moves every point in the x-y plane 7 units to the right along the x-axis and 4 units down along the y-axis. So, for any point (x, y), the new point after the translation is (x + 7, y - 4).

Answer:

The solution is (2,5)

Step-by-step explanation:

The solution to the system of equations is where to the two graphs intersect

The two lines intersect at x=2 and y = 5

The solution is (2,5)

Answer:

Hey there!

The solution for a system of equations (simultaneous equations), is where the two lines intersect.

We see that the lines intersect at (2,5), making (2,5) the solution to the system of equations.

Let me know if this helps :)

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

x=21

Step-by-step explanation:

since the triangle is isosceles, the two lower angles are equal.

2(2x+3)=90

4x+6=90

4x=84

x=21

Answer:

not sure

Step-by-step explanation:

I'm not sure how to do this guys I am very sorry for the inconvenience

Step-by-step explanation:

brother or sister whoever you are, please try to post the full question.

Answer:

Step-by-step explanation:

These two equations are not equivalent. 2(x+10) can be simplified to 2x+10, which would not be equal to 6x+10. So, the answer to your question would be false.

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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A normal glycosylated hemoglobin percentage is 5.7. Test the hypothesis that for all subjects, the population value percent is 5.7. What are your hypotheses for this analysis?

Hypothesis for this analysis:Null Hypothesis: The null hypothesis for this analysis is that the population value percent of glycosylated hemoglobin is 5.7.Alternative Hypothesis:

The alternative hypothesis for this analysis is that the population value percent of glycosylated hemoglobin is not equal to 5.7. Note that since the question only asks to test whether the population value is equal to 5.7, this is a two-tailed hypothesis.

To test the hypothesis,

one could use a statistical test such as a t-test or a z-test. The appropriate test depends on the sample size and whether the population standard deviation is known.

The result of the test would allow you to either reject or fail to reject the null hypothesis.

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Answer:

It would represent 116.66666667

Step-by-step explanation:

3 inches= 50 miles

1 inch = 50/3 miles

7 inches = 50/3 × 7 miles

= 116.66666667 miles

If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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Answer: x<-16

Step-by-step explanation:

In the survey study, the explanatory variable is: number of complaints .

An explanatory variable can be described as a type of independent variable that is manipulated by the researcher which explains the or predict the differences that occurs in a response variable.

For example, number of complaints is the independent variable that the dependent variable, "accidents that occurs in an area" depends on. That is, it explains or predicts the accidents that occurs in an area.

Therefore, we can conclude that, in the survey study, the explanatory variable is: number of complaints .

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Step-by-step explanation:

If they are similar, then 10 is to 3      as  x is to 15

10/3 = x/15    multiply both sides by 15

 50 mm = x

The total distance covered by Amira at the end of her journey as calculated from the data is 9,895 km.

Distance travelled by Amira can be found as,

She travelled 5 hours at the speed of 995km/hour

Distance = speed x time

= 995 x 5

=4,975 km

She travelled  6 hours 15 minutes at the speed of 800km/hour

=800 x 6.15

=4,920 km

Total distance covered =  4,920 + 4,975 = 9,895 km

Therefore, the distance Amira traveled is 9,895 km.

Distance is defined as the difference between the staring point and the ending point of an object. It is a scalar quantity and only has magnitude and no direction.

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Answer:

b = 14

c = -2

d = 74

Step-by-step explanation:

use calculator

b = 4 - (-10)

c = 6 ÷ (-3)

d = (7×7) + (5×5)

Step-by-step explanation:

the answer is 9 i hope it helps

The value of the function when x = 2 is 9

Functions are used to represent equations and graphs

The function is given as:

f(x) = 2x^2  - 3x + 7

When x =2, we have:

f(2) = 2(2)^2  - 3(2) + 7

Evaluate the exponent

f(2) = 2(4)  - 3(2) + 7

Evaluate the product

f(2) = 8  - 6 + 7

Evaluate the expression

f(2) = 9

Hence, the value of the function when x = 2 is 9

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⇒F(-5) just simply means that in the function F in the place of x you have to plug in -5 and simplify if possible.

\(f(-5)= -(-5)^{2} +9(-5)-17\\f(-5)=-(25)-45-17\\f(-5)=-25-45-17\\f(-5)=-70-17\\f(-5)=-87\)

the answer to f(-5) is -87

GOODLUCK!!

The two factors that add up to 6 are 3 and 3. This is because 3 + 3 = 6.

However, there are no two factors that can be multiplied together to give a product of -7. This is because if we multiply two factors, the result is positive if both factors have the same sign (both positive or both negative), and negative if the factors have opposite signs. Therefore, we cannot find two factors that multiply to give -7, as there are no two factors with opposite signs whose product is 7.

In other words, if we let x and y be two factors that multiply to give -7, then either x and y are both positive or both negative. If they are both positive, then their product is positive, which is not equal to -7. If they are both negative, then their product is positive as well, which is also not equal to -7. So there are no two factors that can be multiplied together to give -7.

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Answer:

Step-by-step explanation:

Find the measure of the angle indicated in bold. 25) x+96 x+96. 90°. Same side interior 26). L'S. →X+96+X+96=180. 2x+ 192=180.

SOLUTION

This question means that if you work for 40 hours, you earn $12 for each hour you work. But if you work for more than 40 hours you earn $12 multiplied by 1.5 for the extra hours after 40 hours.

So if you work for 47 hours, you earn

For the extra 7 hours, we have

Total money earned becomes

Hence the answer is $606

Answer:

The answer is $606.