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In APQR, PR is extended through point R to point S,
m_QRS = (4x – 15)°, m_RPQ = (x + 1), and
mZPQR = (x - 2)°. Find mZRPQ.

The Volume of the given figure is 264 cubic units

What is Volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently mathematically quantified using SI-derived units or different imperial or US customary units. The concept of length is linked to the definition of volume.

Solution:

Volume of Cuboid = Length * Breadth * Height

Volume of Cuboid 1 = 8*5*5 = 200 cubic units

Volume of Cuboid 2 = 8*8*1 = 64 cubic units

Total Volume = 200 + 64 = 264 cubic units

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The powers is 5 - 1/2³.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number has been multiplied by itself is referred to as an exponent.

Given:

(5 - [tex]2^{-3}[/tex])

As, we know that

[tex]a^{-m[/tex] = 1/ [tex]a^m[/tex]

Then, (5 - [tex]2^{-3}[/tex])

= 5 - 1/2³

= 5-1/8

= 40-1/8

= 39/8

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The Translation of attached question is

Make the following powers

Set

that

x acres.

wood to

then

2x

are

used

to grow

and 6x acres. are

used

to grow barley.

and

16x

acres

Ore

used

to

grow

where.

§ set up

riddles

according

to quation

x +

2x

+6

x

+ 16x

=

270

{total oven is

270

acres?

252

=270

x = 10.8

solve

equersion

for 23

So

10.8

acnes

are

used

to

grow

pumpkins.

Your deposit must be returned by the landlord within 30 days, less any sum subtracted for damages.

To maximize their earnings, landlords set the rent on rental properties at market rates. Should they... Your reported income plays a big part in how much rent you will have to pay.

3% of the existing rent or the local Consumer Price Index (CPI), whichever is higher, is the maximum increase in rent that the landlord is permitted to make once every 12 months. The requirements of California Tenant Protection Act (AB1482) are expressly applicable to rent hikes.

A renter may be evicted even without a lease. Considering that there isn't a lease or rental agreement, a landlord or property management is free to evict a renter for any reason. The sole need under law would be that the renter being evicted receive a formal notice before being removed.

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Answer:

You had it right, now all you have to do it add 18 and 30 and 4 and 3 and you should get your answer, than you take the answer and write 48r+7w=55rw

Step-by-step explanation:

I added 18, 30, 4, and 3. I got 48 for the 18 and 30 and 7 for the 4 and 3

1. The statement is false, as the differential equation is of the second order but it is nonlinear.

2. The statement is false, as the differential equation is linear.

3. The third statement is correct, as the differential equation is of the fourth order and nonlinear.

Regarding to linearity, the differential equations are classified as follows:

Regarding the order, it is given by the order of the highest derivative in the differential equation.

For question 1, the differential equation y''y + (y')² = sin(x) is in fact of the second order, as the highest derivative is y'' (second derivative), but it is nonlinear, due to the multiplication of y by y''.

Hence the differential equation for question 2 is linear, as the multipliers to the derivatives are of x and -1, neither of which contains the variable y.

For question 3, we have that:

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Answer:

250 / 50 = 5

300 / 50 = 6

Step-by-step explanation:

The greatest common factor of 250 and 300 is 50

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number.

Given here: The numbers as 250 and 350

Steps to find GCF

Find the prime factorization of 250

250 = 2 × 5 × 5 × 5

Find the prime factorization of 300

300 = 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers

Hence, GCF = 2 × 5 × 5  GCF = 50

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Answer:

(y2-y1)/(x2/x1)

Step-by-step explanation:

Well uh I hope you get it

The slope the lines in the given functions are -1/3, 7, 0.4 and -3

The is the ratio of the rise to run of the graph or the ratio of change in y- coordinate to the change in the x-coordinate.

The formula of slope is given as;

m = y₂ - y₁ / x₂ - x₁

1)

The points are

Applying the formula of slope of a line

m = -6 - (-5) / 6 - 3)

m = -6 + 5 / 3

m = -1/3

slope is - 1/3

2) The equation 7x + 2 is a linear equation which is modeled as y = mx + c

where m is the slope and c is the y - intercept

The slope of the linear equation y = 7x + 2 is 7

slope is 7

5) Using the formula of slope of a line

m = y₂ - y₁ / x₂ - x₁

m = 5.5 - 3.5 / 9.5 - 4.5

m = 0.4

Slope is 0.4

6) The linear function y = -3x - 4

Comparing the function with y = mx + c

The slope is -3

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Answer:

2

Step-by-step explanation:

To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse of a number a/b is b/a.

Answer:

5 1/12 hours

Step-by-step explanation:

You need a common denominator and that would be 12

1 [tex]\frac{9}{12}[/tex]       ([tex]\frac{3}{4}[/tex] x [tex]\frac{3}{3}[/tex]) another name for [tex]\frac{3}{3}[/tex] is 1.  You are making an equivalent fraction

2 [tex]\frac{6}{12}[/tex]      ([tex]\frac{1}{2}[/tex] x [tex]\frac{6}{6}[/tex])

[tex]\frac{10}{12}[/tex]          ([tex]\frac{5}{6}[/tex] x [tex]\frac{2}{2}[/tex])

1 [tex]\frac{9}{12}[/tex] + 2 [tex]\frac{6}{12}[/tex] + [tex]\frac{10}{12}[/tex] = 3 [tex]\frac{25}{12}[/tex]

I can break [tex]\frac{25}{12}[/tex] into [tex]\frac{12}{12}[/tex] + [tex]\frac{12}{12}[/tex] + [tex]\frac{1}{12}[/tex]  Another name for [tex]\frac{12}{12}[/tex] is 1

3 + 1 + 1 + [tex]\frac{1}{12}[/tex]

5 [tex]\frac{1}{12}[/tex]

The required number of small prism that would be fill in the large prism is given as 6

As mentioned in the question, a large rectangular prism is 12 inches long, 9 inches wide, and 6 inches tall. A small rectangular prism is also 12 inches long, but it's only 3 inches wide and 3 inches tall.

Here,
The volume of the large prism = 12 × 9 × 6
                                              = 648 inches cube
The volume of the small prism = 12 × 3 × 3
                                              = 108 inches cube,

The ratio of the volume of the large prism to a small prism will give the number of small prisms needed to fill the large prism. So,
n = 648 / 108  = 6 / 1

Thus, the required number of small prism that would be filled in the large prism is given as 6.

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Well, the diameter and circumference scale perfectly. Therefore, the ratio will remain the same regardless of how big or tiny the circle is. For all circles, circumference is equal to x diameter. There are no exceptions because this is the definition of.

Give an example of diameter.

If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to a circle's diameter, which is a line segment that extends from one end of the circle to the other end while passing through the center.

What is a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

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The equation that has the same solution as − 16 ⁢p + 37 = 49 − 21 ⁢p is (3/2)p - 5 + (9/4)p = 7 - (5/4)p thus option (C) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

As per the given equation,

− 16 ⁢p + 37 = 49 − 21 ⁢p

-16p + 21p = 49 - 37

5p = 12

p = 12/5 = 2.4

In the equation,(3/2)p - 5 + (9/4)p = 7 - (5/4)p

(3/2)p + (9/4)p + (5/4)p = 7 + 5

5p = 12

p = 2.4

Hence "The equation (3/2)p - 5 + (9/4)p = 7 - (5/4)p has the same solution as  − 16 ⁢p + 37 = 49 − 21 ⁢p ".

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The quantity of bowls of soup are left in the pot aftee serving her family is 16 cups

Convert quarts to cups:

Total quantity of soup served = Number of people in Kimberly's family × Volume of bowl

= 4 × 2

= 8 cups

Quantity of bowls of soup are left in the pot = Quantity of chicken noodle soup made - Total quantity of soup served

= 24 cups - 8 cups

= 16 cups

In conclusion, 16 cups of soup are left in the pot after serving.

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Answer:

First of all u need to find the rectangle area then subtract the area of three triangles.

step1 : 3×4=12

step2: 1×4/2 + 2×3/2 + 3×1/2 = 6.5

Answer = 12 - 6.5 = 5.5

Answer:

21

Step-by-step explanation:

y=6 and x=9.

5y – x

= 5(6) – 9

= 30 – 9

= 21

i hope this helped

Answer:

23/16?

Step-by-step explanation:

23/16 + 1/16 = 3/2

Answer:

Your answer is 6.

Step-by-step explanation:

If this is correct can i get branilest? Hope this helps :)

Answer:

A a option is right because cause 3 is near to zero that's value one and y 3.5 x 1near equal to 3 something

Answer:

So, in the expression 7 + 6X5-2, we must first multiply 6 and 5, which gives 30. Then we must add 7 and 30, which gives 37. Finally, we must subtract 2 from 37, which gives a final score of 35.

Therefore, the expression 7 + 6X5-2 is equal to 37-2. The correct answer is D) 37-2.

C. The system has either no solution or infinitely many solutions, depending on the y-intercepts

what is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

If the slopes of both lines are same then the lines are parallel. Now, both the equations can represent same line or two different lines. If the equations represent the same line, then they are coincident and have infinite number of solutions, else if the equations represent two different lines with same slope then they are parallel and hence will never intersect, and therefore won't have any solution

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The system has either no solution or infinitely many solutions, depending on the y-intercepts

If the slopes of both lines are same then the lines are parallel. Now, both the equations can represent same line or two different lines. If the equations represent the same line, then they are coincident and have infinite number of solutions, else if the equations represent two different lines with same slope then they are parallel and hence will never intersect, and therefore won't have any solution

The z-score such that the area under standard normal curve to its left is 0.2 is found as -0.84.

A mathematical table known as the Z table, also known as the Z-score table or the standard normal table, is used to determine the likelihood that the z-score number is below, above, or in between the values just on standard normal distribution.

For the stated question,

You simply need to discover the location of 0.2 on the z-score table and then its z-score. (The area to the left of a z-score is shown in the table)

Our z-score is -(0.8 + 0.04) =  - 0.84 as a result.

Thus, the z-score such that the area under the standard normal curve to its left is 0.2 is found as -0.84.

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Answer:

t = 7/9 * 9 + 7/9 * 7 = 14 hours

Step-by-step explanation:

The correct answer is D. Analysis of variance (ANOVA). To compare the means of three samples -- perhaps three experimental treatments -- we should use ANOVA Test.

ANOVA is a statistical test that is used to compare the means of two or more samples. It can be used to determine whether there is a significant difference between the means of the samples, and to identify which samples are significantly different from one another.

A pooled variance t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are equal. This test is not suitable for comparing the means of three or more samples.

A separate variance t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are not equal. This test is also not suitable for comparing the means of three or more samples.

A z-test of difference of means is a statistical test that is used to compare the means of two independent samples. It is not suitable for comparing the means of three or more samples.

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The regression line is yˆ = 4 + 1.891x , the coefficient of determination of two variables or the fraction of the variation in y that can be explained by the variation in the values of x is 0.51..

Here the fitted regression equation of y on x is

yˆ = 4 + 1.891x ---(*)

where, x --> Independent variable

yˆ --> predicted value of the dependent variable

Now, b₁ = slope cofficient = 1.891 ~ 1.91

(estimated from least squares method)

We have given that,

Standard deviations for X = 1.34 = sₓ say

Standard deviations for Y = 3.6 = sᵧ say

we know, b₁ = r₀( sₓ/sᵧ ) where ro is corr(X,Y)

=> 1.91 = r₀ (3.6/1.34)

=> 1.91×1.34/ 3.6 = r₀

=> r₀ = 0.71944

Defining, R² = cofficient of determination of two variables = Proportion of variation in Y , explained by the variation in the value of X, through the regression model.

= (r₀)² = (0.71944)² = 0.505442

R² = 0.505442 ~ 0.51 (in two decimals)

Hence, the cofficient of determination is 0.51..

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Complete question:

Using your favorite statistics software package, you generate a scatter plot which displays a linear form. You find a regression equation and the standard deviation for both variables. The standard deviation for x is 1.34 , and the standard deviation for y is 3.6 . The regression equation is reported as y = 4 + 1.891x . What fraction of the variation in y can be explained by the variation in the values of x? (Enter your answer as a decimal between 1 and 2.)

3x^2= -12

Divide each side by factors that do NOT contain the variable

This means X = +/- 2 (with imaginary number)

On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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Answer:

Daily fee is $13.75, and the mileage charge is $0.37.