Please help . I’ll mark you as brainliest if correct!

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Answer:

\(R' = (-1,-0.5)\)

Step-by-step explanation:

See attachment for complete question.

From the attachment:

\(P = (-3,-3)\)

\(R = (1,2)\)

Dilation:

\(D_{(0.5,P)}\)

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

\(R = (1-(-3),2-(-3))\)

\(R = (1+3,2+3)\)

\(R = (4,5)\)

Next, apply dilation factor 0.5

\(R' = R * 0.5\)

\(R' = (4,5) * 0.5\)

\(R' = (4* 0.5,5* 0.5)\)

\(R' = (2,2.5)\)

Lastly, measure R' from the origin by adding the coordinates of P to R'

\(R' = (2+(-3),2.5+(-3))\)

\(R' = (2-3,2.5-3)\)

\(R' = (-1,-0.5)\)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

The coordinate of the R' after the dilation is (-1,-0.5)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

Given information-

The points of PQRS are Q(-3,2), R(1,2), P(-3,-3), S(1,-3).

The given points are dilated. This dilation can be measured by subtracting the point P from each point . Thus the point of Q is,

\(Q'=Q-P\\Q'=(-3-(-3), 2-(-3))\\Q'=(0,5)\)

Similarly,

\(R'=R-P= (1-(-3),2-(-3))=(4,5)\\P'=P-P=(-3-(-3), 3-(-3)=(0,0)\\S'=S-P=(1-(-3),-3-(-3))=(4,0)\\\)

As the dilation factor is 0.5. Thus, the point of Q is,

\(Q"=(0.5)\times(0,5)=(0,2.5)\)

Similarly,

\(R"=(0.5)\times(4,5)=(2,2.5)\\P"=(0.5)\times(0,0)=(0,0)\\S"=(0.5)\times(4,0)=(2,0)\\\)

Add the points P back, to the above coordinate plane to get the dilation point. Thus the point of Q is,

\(Q'''=(0,+(-3), 2.5+(-3))\\Q'''=(-3,-0.5)\)

Similarly,

\(R'''=(2+(-3),2.5+(-3))=(-1,-0.5)\\P'''=(0+(-3),0+(-3))=(-3,-3)\\S'''=(2+(-3),0+(-3))=(-1,-3)\\\)

Thus the coordinate of the R' after the dilation is (-1,-0.5)

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Answer:

1:7

Step-by-step explanation:

There was originally 28 students. Since 4 of them are gone. There are 24 students.
the ratio of students to markers is now:

24:168

Now you have to simplify it by finding the lowest common denominator:

24 and 168 both share 1 so:

24/24 = 1, 168/24 = 7

1:7

Therefore, for every student on that day, there is 7 markers

7 markers per student

The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

From the question, we have the following parameters that can be used in our computation:

\(\sqrt[4]{a}^3\)

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)

Apply the exponent rule of indices

\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)

Apply the power rule of indices

\(\sqrt[4]{a}^3 = a^\frac34\)

Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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The polynomial function with zeroes 0, 1 , 7 is given by x³ - 4x² + 3x.

What is a polynomial function ?

A polynomial function is a type of expression that can includes constants, coefficients, variables of various intensities, and positive exponents.

It is given that the zeroes of polynomial function are x = 0, x = 1, and x = 7.

If you have a function y = f(x) that doesn't have a zero for any of the above values of x then we need to multiply f(x) by :

i.e.,

For x = 1 , we need to multiply f(x) by (x - 1) :

f(1) (x-1)

= f(1) × 0

= 0

Similarly , for x = 3 , we need to multiply f(x) by (x - 3) also :

f(3) (x-1) (x-3)

=f(3) × 2 × 0

= 0

Similarly , for x = 7 , we need to multiply f(x) by (x - 7) also :

f(3) (x-1) (x-3) (x-7)

=f(3) × 6 × 4 × 0

= 0

So , for all values of x we have a function with zero.

The resulted polynomial function will be :

f(x) = x (x-1) (x-7)

or

f(x) = x³ - 4x² + 3x

Therefore , the polynomial function with zeroes 0, 1 , 7 is given by x³ - 4x² + 3x.

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Answer:

= 26

Step-by-step explanation:

... 3 × 2 + 4 × 5 ...

6 + 20

26

Answer:

D

Step-by-step explanation:

11 1/4 divided by 3= 3.75 (3 3/4)

Answer:

d) \(3\frac{3}{4}\) pounds

Step-by-step explanation:

Hi there!

What we know:

- Sarah has \(11 \frac{1}{4}\) pounds of dog food

- Sarah is dividing this into 3 containers

1) Convert \(11 \frac{1}{4}\) into an improper fraction

\(11 \frac{1}{4}\)

Multiply the whole number by the denominator

11 × 4 = 44

Add 44 to the numerator

44 + 1 = 45

\(\frac{45}{4}\)

2) Divide \(\frac{45}{4}\) by 3

\(\frac{45}{4} / 3\)

Dividing by a number is the same as multiplying its reciprocal

\(= \frac{45}{4} *\frac{1}{3}\)

Multiply the numerators and the denominators

\(45*1 = 45\\4*3 = 12\)

\(= \frac{45}{12}\)

3) Convert \(\frac{45}{12}\) into a mixed number fraction

\(\frac{45}{12}\) ⇒ \(3\frac{3}{4}\)

Therefore, there will be \(3\frac{3}{4}\) pounds of food in each container.

I hope this helps!

Step-by-step explanation:

6.

90° counterclockwise.

x and y are trading places, and the new x (the original y) flips the sign.

A (-7, 0) turns into A' (0, -7). 0 does but have a sign ...

B (-12, 5) turns into B' (-5, -12).

C (-3, 5) turns into C' (-5, -3).

remember the perpendicular slope of lines ? y/x turns into -x/y. the same principle here. just here we need to pay attention to which coordinate flips the sign - depending on the clockwise/counterclockwise direction it is either the original x or y.

7.

180° counterclockwise (for 180° the direction is irrelevant, it is a half-circle, and no matter in what directing you turn the points, they end up at the same location).

both signs are flipped. that's it. 180° is 2 rotations by 90° in the same direction.

as we can see from doing 6. two times that means x and y have switched back into their original positions, but both signs have flipped.

A (-5, -2) turns into A' (5, 2).

B (-5, 3) turns into B' (5, -3).

C (0, 7) turns into C' (0, -7).

D (0, 3) turns into D' (0, -3).

Answer:

The equation in standard form:

2x-y-10=0

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

Answer:

5 feet tall

Step-by-step explanation:

The correct statement regarding the continuity of the function is given as follows:

All three conditions for continuity are true, so f(x) is continuous.

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

\(\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)\)

For this problem, we must look at the turning point at x = 3, hence:

Hence all conditions are satisfied and the correct option is given by the fourth option.

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Answer:

21

Step-by-step explanation:

Answer:

1.67

Step-by-step explanation:

25/15 = 1.67

The mean is estimated by dividing the total of the values by the range of values.

The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

The amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.

When two variables change in tandem, the relationship is said to be direct. The variable y increases as the variable x increases. A linear relationship denoted by the equation y = kx is directly proportional.

There is a direct correlation between a circle's radius and area, meaning that when the radius is increased or decreased, the area correspondingly changes. If one variable increases while the other declines or vice versa, the relationship between the two variables is inverse.

For given question-

Jordan created the graph below to illustrate the correlation between a city's temperature and the daily sales of hot chocolate.

As we can see that - when the temperature increases the demand for the ice cream also increases which is the direct relation.

Thus, the amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.

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The diagram for the question is attached:

Step-by-step explanation:

1) (3x)^2 = (3x)*(3x)

2) (3x)^2 = 3x * 3x = 9 x^2

The length of a rectangle is 55  inches and the width of the rectangle is  17 inches

Given that The length of a rectangle is four more than triple the width.  If the perimeter is 144 inches and asked to find the dimensions of the rectangle

Length of a rectangle = 4 + triple the width

Let's assume the length of a rectangle is "l" and the width is "b"

l= 4 + 3b

perimeter of rectangle =2 ( l +b )

perimeter of rectangle = 2 ( 4 +3b +b)

perimeter of rectangle = 2 ( 4 + 4b )

Given that perimeter of rectangle = 144 inches

144 inches =  2 ( 4 + 4b )

72 inches = 4 + 4b

b= 17 inches

l= 4 + 3b

l=4+51

l=55 inches

Therefore the dimensions of rectangle are 55 inches and 17 inches

Hence,The length of a rectangle is 55  inches and the width of the rectangle is  17 inches.

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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Answer:

a= 78

Step-by-step explanation:

To solve subtract:

180-102= 78

Hope this helps!

Answer:

78 is the missing angle

Step-by-step explanation:

180 - 102 = 78

Answer:

The equation of line in point-slope form is: \(y-7 = -7(x+5)\)

Step-by-step explanation:

Given points are:

(x1,y1) = (-5,7)

(x2,y2) = (-4,0)

Point slope form of equation is given by:

\(y-y_1 = m(x-x_1)\)

Here m is the slope

The slope is calculated using the formula:

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Putting the values we get

\(m = \frac{0-7}{-4+5}\\m = \frac{-7}{1}\\m = -7\)

Putting in the equation we get

\(y-y_1 = -7(x-x_1)\)

Putting (-5,7) in the equation

\(y - 7 = -7\{x-(-5)\}\\y-7 = -7(x+5)\)

Hence,

The equation of line in point-slope form is: \(y-7 = -7(x+5)\)

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

please memorize this formula for area of sphere

A=4π r²

so d = 22, which means r=11

so A = 4* π*11² = 4*121*π =484π = 1519.76

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

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Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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Answer:

620000000

Step-by-step explanation: 6.2 10^8

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form,62*10^5 is the scientific notation of 6,200,000 kilograms

We need to express 6,200,000 kilograms using scientific notation in kilograms.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We need to express 6,200,000 kilograms into scientific notation

The format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.

Now 62*10^5 is the required scientific notation.

Therefore 62*10^5 is scientific notation of 6,200,000 kilograms.

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