10. In the diagram shown,

• STUV is a square,

• Q and P are the midpoints of ST and UV,

• PR = QR, and

• VQ is parallel to PR.

What is the ratio of the shaded area to the unshaded area?

Answer:

5.25 inches after 5 wks

7 inches after 12 wks

Step-by-step explanation:

after 5 weeks:  y = .25(5) + 4 which is 5.25 inches

after 12 weeks:  y = .25(12) + 4 which is 7 inches

The truth value of the given proposition is "false".

The truth value of the given proposition can be evaluated using the following steps:

Convert the binary representation of the numbers to decimal:

0 = 0

~1 = -1 (invert the bits of 1 to get -2 in two's complement representation and add 1)

10 = 2

Apply the comparison operator "=" between the left and right sides of the equation:

(0 = -1) = 2

Evaluate the left side of the equation, which is false, because 0 is not equal to -1.

Evaluate the right side of the equation, which is true, because 2 is a nonzero value.

Apply the comparison operator "=" between the results of step 3 and step 4, which yields:

false = true

Therefore, the truth value of the given proposition is "false".

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The missing value in the arithmetic sequence is 11.

What is Arithmetic Sequence?

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

To find the missing value in the arithmetic sequence, we need to first determine the common difference between consecutive terms.

To do this, we can subtract any two consecutive terms, such as the second and first terms:

3.8 - 2 = 1.8

This tells us that the common difference is 1.8.

Now, we can use this common difference to find the missing value, which is the sixth term in the sequence. We can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1)d

where a_n is the nth term, a_1 is the first term, n is the position of the term we want to find, and d is the common difference.

Using this formula with a_1 = 2, d = 1.8, and n = 6, we get:

a_6 = 2 + (6 - 1)1.8

a_6 = 2 + 5(1.8)

a_6 = 2 + 9

a_6 = 11

Therefore, the missing value in the arithmetic sequence is 11.

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Answer:

true

Step-by-step explanation:

Answer:

c=20

Step-by-step explanation:

The car is worth approximately $14,488.57 after six years of depreciation at a rate of 7.5% per year, given that it was bought for 25,300.

To find the value of the car after six years of depreciation at a rate of 7.5% per year, we can use the formula:

Value after t years = Initial value x \(e^(-rt)\)

where r is the annual depreciation rate as a decimal (in this case, 0.075), t is the number of years of depreciation (in this case, 6), and e is the mathematical constant approximately equal to 2.71828.

Substituting the values given in the problem, we get:

Value after 6 years = 25,300 x \(e^(-0.075 x 6)\)

Simplifying the expression inside the exponential, we get:

Value after 6 years = 25,300 x \(e^(-0.45)\)

Using a calculator to evaluate \(e^(-0.45)\), we get:

Value after 6 years = 14,488.57 (rounded to the nearest cent)

Therefore, after six years at 7.5% annual depreciation, the automobile is now valued roughly 14,488.57.

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Answer:

Symmetry is correspondence of the form and arrangement of elements or parts on opposite sides of a dividing line. imagine that this ractangle is a piece of paper, you need to fold it two times, different ways. in this case when you fold it over the horizontal colored line all colored parts will match, same case when you fold it vertically.

Answer:

1. x= -2  2. x= -5  3. x= -11/10

Step-by-step explanation:

1. 5x-3x -4+4=3x-3x+8+4   2x/2=-4/2  x=-2

2. -4x+7x +7-7=-7x+7x-8-7  3x/3=-15/3  x=-5

3. 6x+4x+7-7=-4x+4x-4-7   10x/10=-11/10   x=-11/10

Answer:

\(Ratio = 7:6\)

Step-by-step explanation:

Given

Initially

\(Joe = 12oz\) -- coffee

\(JoAnn = 12oz\) -- coffee

Joe drank 2oz coffee; So, we have:

\(Joe = 12oz - 2oz\)

\(Joe = 10oz\) --- coffee

Joe added 2oz cream; So, we have:

\(Joe = 10oz\) --- coffee     \(Joe = 2oz\) --- cream

JoAnn added 2oz cream and stirred. So, we have:

\(Joe = 12oz\) --- coffee     \(JoAnn = 2oz\) --- cream

\(Total = 14oz\)

JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:

\(JoAnn = \frac{Cream}{Total}\)

\(JoAnn = \frac{2}{14}\)

\(JoAnn = \frac{1}{7}\)

Amount of cream left is:

\(Amount = [1- \frac{1}{7}] *2\)

Take LCM

\(Amount = [\frac{7-1}{7}] * 2oz\)

\(Amount = \frac{6}{7} * 2oz\)

\(Amount = \frac{12}{7}oz\)

So, we have:

\(Joe = 2oz\) --- cream

\(JoAnn = \frac{12}{7}\) cream

The ratio is:

\(Ratio = 2:\frac{12}{7}\)

Multiply by 7

\(Ratio = 14:12\)

Divide by 2

\(Ratio = 7:6\)

Answer:

first solve for x

8x=20

x=2.5

5x=17

x=3.4

then your equations

Madison: y=2.5x

Lucas: y=3.4x

then your ordered pairs

Madison: (4,10)

Lucas:(3,10.2)

then your slope

Madison-2.5

Lucas-3.4

I hope this is good enough:

The total area of the back and side walls that should be painted is 57 square meters.

To calculate the total area of the back and side walls that need to be painted, we need the dimensions of the walls. Let's assume we have the following dimensions:

Back Wall:

Height = 3 meters

Width = 5 meters

Side Wall 1:

Height = 3 meters

Length = 8 meters

Side Wall 2:

Height = 3 meters

Length = 6 meters

To calculate the area of each wall, we multiply the height by the width/length:

Area of Back Wall = Height * Width = 3 meters * 5 meters = 15 square meters

Area of Side Wall 1 = Height * Length = 3 meters * 8 meters = 24 square meters

Area of Side Wall 2 = Height * Length = 3 meters * 6 meters = 18 square meters

To calculate the total area of the back and side walls that need to be painted, we add up the individual areas:

Total Area = Area of Back Wall + Area of Side Wall 1 + Area of Side Wall 2

          = 15 square meters + 24 square meters + 18 square meters

          = 57 square meters

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The Probable question may be:

What is the total area of the back and side walls that need to be painted if the dimensions are as follows?

Back Wall:

Height = 3 meters

Width = 5 meters

Side Wall 1:

Height = 3 meters

Length = 8 meters

Side Wall 2:

Height = 3 meters

Length = 6 meters

Answer:hhhhds

Step-by-step explanation:

The total number of students at the school is 1240.

What is Ratio ?

With the dividend or number being divided as the antecedent and the divisor or number that is dividing as the consequent, a ratio compares two quantities by division.

we know that, number of boys : number of girls = 11: 9

Let's assume the number of boys = 11x

and, the number of girls = 9x

similarly, There are 124 more boys than girls

So, number of boys = 124 +  number of girls

           11x = 124 + 9x

          2x = 124

          x = 62

So, number of boys = 11 ×62 = 682

number of girls = 9 × 62 = 558

∴ Total number of students is 1240 i.e.(682+558).

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Answer:  B, C, D

Step-by-step explanation:

Are correct:

B) Diagonals are perpendicular

C) Consecutive Angles are Supplementary

D) Diagonals bisect angles

Not correct:

A) Diagnols are congruent to sides is not correct the because diagonals of a square are congruent to each other, not to the sides

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Answer:

6:7 is the answer to the question

Given:

Total number of congruent sections = 25

Orange sections = 12

Red sections = 4

Blue sections = 6

Purple sections = 3

To find:

The probability that the first spin will stop on a blue section.

Solution:

The probability that the first spin will stop on a blue section is the fraction of number of blue sections and total number of sections.

\(P=\dfrac{\text{Number of blue sections}}{\text{Total number of sections}}\)

\(P=\dfrac{6}{25}\)

\(P=0.24\)

Therefore, the required probability is 0.24.

The rate of the plane in still air (p) is 576 km/h and the rate of the wind (w) is 0 km/h. This means that the airplane's speed in still air is 576 km/h and there is no wind affecting its speed.

To find the rate of the plane in still air and the rate of the wind, we can use the concept of relative motion.

Let's denote the rate of the plane in still air as "p" (in km/h) and the rate of the wind as "w" (in km/h).

When the airplane travels against the wind, its effective speed is reduced by the speed of the wind. So the rate of the airplane against the wind can be calculated as:

Rate against the wind = p - w

Similarly, when the airplane travels with the wind, its effective speed is increased by the speed of the wind. So the rate of the airplane with the wind can be calculated as:

Rate with the wind = p + w

Given that the airplane travels 3456 kilometers against the wind in 6 hours and the same distance with the wind in the same amount of time, we can set up the following equations:

3456 = (p - w) * 6   (equation 1)

3456 = (p + w) * 6   (equation 2)

We have a system of two equations with two unknowns (p and w). We can solve this system of equations to find the values of p and w.

First, let's simplify the equations:

6p - 6w = 3456   (equation 1)

6p + 6w = 3456   (equation 2)

Now, we can add the two equations together to eliminate the variable w:

12p = 6912

Dividing both sides of the equation by 12:

p = 576

Now, we can substitute the value of p back into one of the original equations to find the value of w. Let's use equation 1:

6(576) - 6w = 3456

3456 - 6w = 3456

-6w = 0

w = 0

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Answer: 4 men to build it in 7.5 hrs

Step-by-step explanation:

The inverse Laplace transform of G(s) is \(g(t) = 10e^{-t} - 10e^{-3t}\).

To find the inverse Laplace transform of the given function G(s), we can use partial fraction decomposition and known Laplace transforms. The partial fraction decomposition of G(s) is:

\(G(s) = 10s^2e^{-s} / (s+1)(s+3)\)

To perform the partial fraction decomposition, let's write G(s) in the following form:

G(s) = A/(s+1) + B/(s+3)

To find the values of A and B, we need to find a common denominator for the two fractions on the right-hand side:

\(10s^2e^{-s} = A(s+3) + B(s+1)\)

Expanding the right-hand side:

\(10s^2e^{-s} = As + 3A + Bs + B\)

Now, equating the coefficients of \(s^2\), s, and the constant term:

Coefficient of \(s^2\):

10 = A

Coefficient of s:

0 = A + B

Constant term:

0 = 3A + B

From the first equation, A = 10. Substituting this value in the second and third equations:

0 = 10 + B

0 = 3(10) + B

From the second equation, B = -10. Substituting B = -10 into the third equation:

0 = 3(10) - 10

0 = 30 - 10

0 = 20

Now that we have the values of A and B, we can rewrite G(s) as:

G(s) = 10/(s+1) - 10/(s+3)

To find the inverse Laplace transform of G(s), we can use the known Laplace transform pairs. The inverse Laplace transform of 10/(s+1) is 10e^(-t), and the inverse Laplace transform of \(-10/(s+3) is -10e^{-3t}\). Therefore, the inverse Laplace transform of G(s) is:

\(g(t) = 10e^{-t} - 10e^{-3t}\)

So, the inverse Laplace transform of G(s) is \(g(t) = 10e^{-t} - 10e^{-3t}\).

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Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Answer:

D

Step-by-step explanation:

Also hello Harrypotter fan!!!

Answer: between 17 and 18

Step-by-step explanation:

Fun fact , we have a pfp from the same scene:D

Answer:

B 2

Step-by-step explanation:

Because the leading term makes the difference on whether a parabola opens upward or downward.

If the leading coefficient of the leading term (which is 2) is negative it opens downward. If it is positive like it is in the equation then it opens upward.

Hope that helps :)

The two numbers that multiply to 48 and add to -7 are:

(-7 + √(143)i) / 2 and -7 - ((-7 + √(143)i) / 2)

OR

(-7 - √(143)i) / 2 and -7 - ((-7 - √(143)i) / 2)

From the question, we are to determine the numbers that multiply to 48 and add up to -7

Let the numbers be x and y.

Then,

We can write that

xy = 48

x + y = -7

From the second equation, we can write that

x = -7 - y

Substitute the into the first equation

xy = 48

(-7 -y)y = 48

-7y - y² = 48

This can be re-written as

y² + 7y + 48 = 0

Solving the equations using the quadratic formula

y = (-b ± √(b² - 4ac)) / 2a

a = 1, b = 7, and c = 48

Substitute into the formula

y = (-7 ± √(7² - 4(1)(48))) / 2(1)

Simplifying inside the square root:

y = (-7 ± √(49 - 192)) / 2(1)

y = (-7 ± √(-143)) / 2

y = (-7 ± √(143)i) / 2

Hence,

y = (-7 + √(143)i) / 2

OR

y = (-7 - √(143)i) / 2

Substitute the values of y into x = -7 - y

x = -7 - ((-7 + √(143)i) / 2)

and

x = -7 - ((-7 - √(143)i) / 2)

Hence,

The two numbers are:

(-7 + √(143)i) / 2 and -7 - ((-7 + √(143)i) / 2)

OR

(-7 - √(143)i) / 2 and -7 - ((-7 - √(143)i) / 2)

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Step-by-step explanation:

The answer is A

Bcz In a race runs faster whoever does it in less time

The correct answer is option O: 5 V.

To determine the average voltage (Vavg) given a peak-to-peak voltage (Vpp) of 10 V, we need to consider the relationship between Vavg and Vpp in an alternating current (AC) waveform.

The average voltage of an AC waveform is related to its peak-to-peak voltage by the formula: Vavg = 0.5 * Vpp.

Applying this formula to the given Vpp of 10 V, we can calculate the Vavg as follows: Vavg = 0.5 * 10 V = 5 V.

The average voltage is equal to half of the peak-to-peak voltage, resulting in an average voltage of 5 V for a Vpp of 10 V.

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