Write the equation of the line that passes through (1,8) and (3, 3). Write it in slope-intercept form.

The area that was cut out is  457cm²

The formula for calculating the area of a semi-circle is expressed as;

A = 1/2 πr²

Given that the diameters = 2 radius

Radius = 20/2 = 10cm

Substitute the values

Area = 1/2 × 3.14 × 10²

Find the square and substitute

Area = 157 cm²

Area of the triangle = 1/2 × b  × h

Such that 'b' is the base and 'h' is the height

Substitute the values

Area = 1/2 × 20 × 30

Multiply the values

Area = 300cm²

Area cut out = 300 + 157 = 457cm²

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Answer:

10 action 45 rented 50 percent

Step-by-step explanation:

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

Answer:

A.

Step-by-step explanation:

Answer:

should be none of the about because each time you multiple by 1/2, i got 1/64 for the 10th

Step-by-step explanation:

Recent research has confirmed the Spillover Hypothesis by demonstrating a favourable association between life and job happiness.

According to the spillover hypothesis, behaviour or affect in a family system might flow immediately from one place or connection to another. Transfer takes place in the same valence, which means that one subsystem's negative affect is connected to another's negative affect, or stress at work spills over and intensifies stress at home. The compensatory hypothesis offers a different perspective by arguing that transfer between family subsystems occurs in the opposite valence, leading a person to seek fulfilment in one relationship or environment in order to make up for shortages in another.

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Answer:

Hey there!

The answer is 2 1/4, which is 2.25

Let me know if you have any other questions!

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{1}{4} }}}}}\)

Option C is the correct option.

Step-by-step explanation:

\( \sf{12 \frac{3}{8} \div 5 \frac{1}{2} }\)

Convert mixed fraction into improper fraction

⇒\( \sf{ \frac{12 \times 8 + 3}{8} \div \frac{5 \times 2 + 1}{2} }\)

⇒\( \sf{ \frac{99}{8} \div \frac{11}{2} }\)

When any number or fraction is divided by a fraction , we multiply the dividend by reciprocal of the divisor

⇒\( \sf{ \frac{99}{8} \times \frac{2}{11} }\)

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

⇒\( \sf{ \frac{99 \times 2}{8 \times 11}} \)

⇒\( \sf{ \frac{198}{88} }\)

⇒\( \sf{ \frac{9}{4} }\)

Convert the improper fraction into mixed fraction

⇒\( \sf{2 \frac{1}{4} }\)

Hope I helped !

Best regards! :D

The area of the trapezoid is A = 2285.47 units²

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the trapezoid be represented as A

Now , the value of A is

Let the height of the trapezium be h = 52.6

Let the length of the shorter base a = 39.1

Let the length of the longer base b = 47.8

Now , Area of Trapezoid = ( ( a + b ) h ) / 2

On simplifying , we get

Area of trapezoid A = ( ( 47.8 + 39.1 ) 52.6 ) / 2

Area of trapezoid A = ( 86.9 x 52.6 ) / 2

Area of trapezoid A = 4,570.94 / 2

Area of trapezoid A = 2285.47 units²

Hence , the area of the trapezoid is 2285.47 units²

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Answer:

Step-by-step explanation:

AB

away fram house

2km 4mins

rate: 1km\minute

BC

away from house

5km 6mins

rate:0.83km\minute

CD

niether

0km 9mins

no rate

DE

toward house

6km 15mins

0.4km\minute

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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Answer:

15=-3 6/13m

Convert mixed numbers to improper fractions.

3x13+6= apply negative -45/13

-45/13m=15

multiply both sides by 13

-45m=195

divide both sides by -45

m = -13/3 or -4 1/3

Your welcome! and hope this helps!

Answer:

x coordinate is +3 and y coordinate is +1

Step-by-step explanation:

just count three squares right and one square down from D

Combined gross dollar sales for Salesperson 1 and Compact in August: $54,000, Combined gross dollar sales for Salesperson 1 and Compact in September: $228,000, Increase in dollar sales for Salesperson 1 and Compact from August to September: $174,000, September commission for Salesperson 1: $18,400.

To calculate the solutions, we can use the following Excel formulas and functions. To calculate the combined gross dollar sales for each salesperson and model type:

For Salesperson 1 and Compact in August: =54000

For Salesperson 1 and Luxury in August: =88000

For Salesperson 2 and Compact in August: =126000

For Salesperson 2 and Luxury in August: =322000

For Salesperson 1 and Compact in September: =228000

For Salesperson 1 and Luxury in September: =368000

For Salesperson 2 and Compact in September: =304000

For Salesperson 2 and Luxury in September: =322000

To get the combined gross dollar sales for each salesperson and model type in August and September, we can use the SUM function. For example, to get the combined gross dollar sales for Salesperson 1 and Compact in August and September, we can use:

For Salesperson 1 and Compact in August: =SUM(B2,B6)

For Salesperson 1 and Compact in September: =SUM(B7,B11)

Similarly, we can use the SUM function for the other salespersons and model types.

To calculate the increase in dollar sales, we need to subtract the August sales from the September sales. For example, to get the increase in dollar sales for Salesperson 1 and Compact, we can use the formula:

= B7 - B2

To compute the September commission for each salesperson, we need to multiply their September gross dollar sales by 5%. For example, to compute the September commission for Salesperson 1, we can use the formula:

= B7 * 5%

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Answer:

1436.8

Step-by-step explanation:

the second number after the decimal is 5 so we rounded the first number up

Answer: 1.03(1.35x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Marsha's family traveled 3/10 of the distance to her aunt's house on Saturday.

Remaining distance is:

They traveled 3/7 of the remaining distance on Sunday, which is:

Answer:

\(P(X\geq 6)=0.723\)

Step-by-step explanation:

Step 1:  Combine the probabilities greater than or equal to 6

Since we are saying at least a sum of 6, that means that we are including the sum of 6.  After acknowledging that, we just add up the probabilities.  

\(0.139 + 0.167 + 0.139 + 0.111 + 0.083 + 0.056 + 0.028\)

\(0.723\)

Answer:  \(P(X\geq 6)=0.723\)

Answer:

I agree with the other answer

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

V2-V1=volume of dinosaur,v2 is 5 and v2 is 6

Answer:

\( \frac{50}{5} = 10\)

Step-by-step explanation:

\( \frac{7(8 - 1) + ( - 1 {)}^{2} }{1 + {2}^{2} } \)

\( \frac{7 \times 7 + ( - 1 {)}^{2} }{1 + {2}^{2} } = \frac{7 \times 7 + 1}{1 + {2}^{2} } \)

\( \frac{7 \times 7 + 1}{1 + 4} = \frac{49 + 1}{1 + 4} = \frac{49 + 1}{5} \)

\( = \frac{50}{5} = 10\)

Answer:

a, (5;1) R = \(\sqrt{7}\)

b, (-2; 4) R = \(2\sqrt{2}\)

c, (4;7) R = 7

d, (-3; -6) R = 7

Step-by-step explanation:

The percentage decrease is 9.83%.

The previous year Springfield middle school students were 620. This year it is 559 students.

Here we have to find the decrease in the percentage of students from the previous year.

The decrease in the students = 620- 559

                                                 = 61

Percentage decrease = (decrease/number of students last year)× 100

                                    = (61/ 620 )× 100

                                    = 0.09838 ×100

                                    = 9.83%

Therefore the percentage decrease in the number of students from the previous year is 9.83%

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

If A,B, and C are three collinear points such that AB=10 units and AC=15 units, the length of BC is  5 units.

This is because of the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, AB + AC = 25, which is greater than the length of BC, which is 5.  

To calculate the length of BC, we can use the Pythagorean theorem. The formula is a² + b² = c², where a and b are the sides of the triangle and c is the hypotenuse. In this case, we have a = 10 and b = 15, so c² = 10² + 15² = 325. To find c, we take the square root of both sides, so c = √325 = 18.25. Since BC is the hypotenuse, its length is 18.25, but since its endpoints are collinear, the length of BC is 5 units.

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Given:

The dimensions of the given cuboid are 8 in, 6 in and 7 in.

To find:

The volume and the surface area of the given cuboid.

Solution:

The volume of cuboid is:

\(V=l\times b\times h\)

Where, l is length, b is breadth and h is height.

\(V=8\times 6\times 7\)

\(V=336\)

Therefore, the volume of the cuboid is 336 cubic inches.

The surface area of the cuboid is:

\(A=2(lb+bh+hl)\)

Where, l is length, b is breadth and h is height.

\(A=2(8\times 6+6\times 7+7\times 8)\)

\(A=2(48+42+56)\)

\(A=2(146)\)

\(A=292\)

Therefore, the surface area of the cuboid is 292 square inches.

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

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The directional derivative of a function in the direction of a vector at a given point is obtained by taking the dot product of the gradient of the function at that point and the given vector.

To find the directional derivative of a function in the direction of a vector at a specific point, we need to compute the dot product of the gradient of the function at that point and the given vector. Let's assume the function is denoted by f(x, y) and the vector is denoted by v = (a, b).

The gradient of f(x, y) is given by the vector (∂f/∂x, ∂f/∂y). In this case, let's assume the gradient is (∂f/∂x, ∂f/∂y) = (g, h).

To find the directional derivative in the direction of v at point p = (1, -1), we calculate the dot product of the gradient vector and the given vector:

\(D_v\)f(p) = (g, h) · (a, b) = g·a + h·b.

Note that for accurate calculation, the vector v should be a unit vector. However, if v is not a unit vector, we can still compute the directional derivative by dividing the resulting dot product by the magnitude of v:

\(D_v\)f(p) = (g·a + h·b) / ||v||,

where ||v|| is the magnitude of the vector v.

In summary, the directional derivative of a function in the direction of a vector at a given point can be calculated by taking the dot product of the gradient of the function at that point and the given vector, and dividing the result by the magnitude of the vector.

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Answer:

⅓x + y = 5⅓

or

⅓x + y = 5.3333333

or

⅓x + y = 16/3

Step-by-step explanation:

Solve for slope using rise/run

Y2 - Y1 / X2 - X1

(6) - (5) / (-2) - (1)

1 / -3

Slope: -⅓

y = -⅓x + b

solve for b using one of the points

I'll be using (1,5)

Substitute the point into the equation

5 = -⅓(1) + b

5 = -⅓ + b (add ⅓ to both sides)

+⅓ +⅓

5⅓ = b

5⅓ can also be written as 16/3 or 5.333333

The equation is now:

y = -⅓x + 5⅓

Convert to standard form by adding ⅓x to both sides

y = -⅓x + 5⅓

+⅓x +⅓x

Solution: ⅓x + y = 5⅓

Answer:

less that is it have good day

Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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a number out of 100 is always going to be that number. For example, 90/100, what number is that? 90. So what number is 28/100? 28 (mark brainliest pls)