Write an equation of the line passing through point p(3 8) that is parallel to the line y=1/5(x+4).

SOLUTION

The formula for length of arc is given as

For the length of arc FEG

Therefore the length of arc FEG is

Calculate the value

Therefore, the length of arc FEG is 28.47 yards

Answer:

your answer is 4.

Step-by-step explanation:

the cubic root of 64 is 4. pls mark brainliest if u can

(L+2) (W+2) this should be right based on the question

The new area of flowerbed will be (L+2) (W+2)

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

length = L

Width = W

Now,  increasing the length and width each by 2 ft.

new length = L+2

new width = W+2

Hence, the new area of the flowerbed is  (L+2) (W+2).

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Answer:

224 m^2

Step-by-step explanation:

The dimensions of the four walls are:

6x8, 8x8, 6x8, 8x8

The area of all of these walls is 2(6x8 + 8x8) = 224 m^2

Answer:

yes, school is hard

thanks for points

have a good day ....❤

Answer:

wow

Step-by-step explanation:

What is the percent​ increase from $200 to $280?

There was 40% increase from $200 to $280

What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

There was 65% increase with the baggage fee.

#1

Rate of increase (Percent increase)

\(\\ \tt\hookrightarrow \dfrac{80}{200}\times 100\)

\(\\ \tt\hookrightarrow 40\%\)

#2

Percent increase:-

\(\\ \tt\hookrightarrow \dfrac{130}{200}(100)\)

\(\\ \tt\hookrightarrow 65\%\)

The value 111.958 represents the y-intercept of the equation f(x) = 9.607x + 111.958.

In the context of the scenario, the y-intercept is the value of the dependent variable (number of fish deaths per year) when the independent variable (pollution index of the lake, represented by x) is equal to zero.

Interpreting the y-intercept (111.958) in this scenario, it means that when the pollution index of the lake is at zero (indicating no pollution), the model predicts that there would still be 111.958 fish deaths per year.

In practical terms, this suggests that there might be other factors contributing to the fish deaths apart from pollution. It could be natural causes, fishing activities, or other environmental factors not accounted for in the model.

It is important to note that the y-intercept provides the initial value or baseline when the independent variable has no effect, but it may not reflect the complete relationship between the variables. The slope of the equation (9.607) indicates the rate of change in fish deaths for each unit increase in the pollution index.

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The calculation that estimates the primary macronutrient the body uses for energy at any given point in time is the Catabolic quotient.

The Catabolic quotient is used to show the amount of macronutrients that are being catabolized to produce energy at any given time.

This allows us to know how much macronutrients the body needs depending on the activities that a person is engaged in at the time. This is important for nutritional requirements as a result.

Options for this question are:

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Answer:

5

Step-by-step explanation:

Maximum: the value of y where the height of the function is greater than (or equal to) the height anywhere else in that interval.

From inspection of the graph, the maximum is 5

This is a graph of \(f(x)=2\sin(x)+3\)

Range: \(1\leq f(x)\leq 5\)

Answer:

maximum: 5, minimum: 1

Explanation:

check out the image for better visualisation:

Answer:

3% = 0.03

Commision = 3% x $4950.00

                  = 0.03 x 4950.00

                  = $148.50

Answer:

$148.50

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

hope this helps <33

Step-by-step explanation:

2(2n^2+n=6)

Answer:

17/190

Step-by-step explanation:

Its correct

Answer:

D

Step-by-step explanation:

1 x 17 = 17

10 x 18=180

so it's 17/180

Answer:

1/2, 3/8, 1/8

Step-by-step explanation:

the radio of giving blue marbles is 4/8=1/2

the radio of giving green marbles is 3/8

the radio of giving red marbles is 1/8

Answer:

the probability of you getting a B marble is 1/2 for a R marble its 1/8 and for a G marble its 3/8.

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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Answer:

Your answer in Decimal form is 46.5.

Step-by-step explanation:

My screenshot below shows you.

Answer:

2 × 54,000 ÷ (1+2)

£36,000

Step-by-step explanation:

Total cost of the business = £54,000

wages : other costs = 2 : 1

Total ratio = 2 + 1 = 3

How much do I spend on wages every year?

Amount spent on wages yearly = ratio of wages / total ratio × Total cost of the business

= 2 × 54,000 ÷ (1+2)

= 2/3 × £54,000

= £108,000/3

= £36,000

Amount spent on wages yearly = £36,000

Line p must be drawn so that it can lie in the same plane as line 1

Line p must be drawn in a way that allows it to lie in the same plane as line l.

In geometry, a plane extends in two dimensions indefinitely. There is no width. In coordinate geometry, a plane can be seen as an example. The positions of points in a plane are determined by their coordinates.

A plane is a flat, two-dimensional surface in mathematics that extends indefinitely. A plane is a two-dimensional analog that can incorporate three dimensions of space, a line, and a point.

Given two planes A and B,

and line l is in plane A,

to draw a line parallel to l,

"Two lines in the same plane, which are equally spaced apart and never cross" are parallel lines.

In order for a new line, p, to lie in the same plane as line l, it must be drawn parallel to line l.

Plane A contains line l.

Thus, plane A is where the line p must be drawn.

Hence option C is correct.

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Answer: 193473

Step-by-step explanation:

999 x 777 = 776223 sheets used

Balance not used are

969696 - 776223 = 193473

Answer:

1

Step-by-step explanation:

(10^{8})^{2}=10^{16}

10^{16}×10^{0}=1

Answer:

Answer choice B

Step-by-step explanation: 10^8)(10^0)=100000000

100000000=10^10

Try Math papa next time and round on math-way

Answer:

The value of the expression when i is 1 is equals to 5.

Step-by-step explanation:

We are given the following expression:

\(2 + 3^{i}\)

Evaluate the expression when i is 1.

We replace i by 1. When we elevate a number to the 1, the result is the number we elevate. So

\(2 + 3^{i} = 2 + 3^{1} = 2 + 3 = 5\)

The value of the expression when i is 1 is equals to 5.

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

The total calories present in a cocktail made of 4 fluid ounces of margarita mix and 6 fluid ounces of light beer is approximately 193 calories. The number of calories in a cocktail made of 4 fluid ounces of margarita mix and 6 fluid ounces of light beer can be calculated as follows:

Margarita mix:4 fluid ounces of margarita mix contains 100 calories.1 fluid ounce of margarita mix contains 25 calories.6 fluid ounces of margarita mix contain 6 x 25 = <<6*25=150>>150 calories. Light beer:6 fluid ounces of light beer contain approximately 43 calories. Total: Therefore, the total calories present in a cocktail made of 4 fluid ounces of margarita mix and 6 fluid ounces of light beer is approximately 150 + 43 = <<150+43=193>>193 calories.

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The matrix transformation

rotates the plane counter-clockwise about the origin through 45°: True.
This matrix is an example of a rotation matrix which rotates a given vector in the plane by an angle of 45° counter-clockwise about the origin. The matrix is calculated using the formula:

Where θ is the angle of rotation. Therefore, this matrix transformation rotates the plane counter-clockwise through 45° about the origin.

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Answer:  \(\frac{4}{3\sqrt{5}}\)

Step-by-step explanation:

From SOH CAH TOA, the cosine of an angle is the ratio between the side adjacent to the angle and the hypotenuse, the side opposing the right angle.

So in this case, cos T is adj/hyp or \(\frac{4}{\sqrt{75}}\) but we know that 75 = 5 × 5 × 3, so \(\sqrt{75} = 5\sqrt{3}\) and  \(\frac{4}{\sqrt{75}}\) can be simplified down to  \(\frac{4}{3\sqrt{5}}\)

it is not possible to find a unique vector x in R² whose image under the linear transformation T is the given vector b in R³

A linear transformation T: R² → R³ is defined by T(x) = Ax, where A is a matrix that performs the transformation, x is a vector in R², and T(x) is the resulting vector in R³. In this problem, you are asked to find a vector x in R² whose image under the transformation T is a given vector b in R³.
Since the linear transformation T maps from R² to R³, the matrix A must have a size of 3x2, meaning it has 3 rows and 2 columns. Therefore, when multiplying A with the vector x (size 2x1), the resulting vector T(x) will have a size of 3x1, which is a vector in R³.
Given that T(x) = b, to find the vector x in R², you would typically need to solve the equation Ax = b. However, in this case, it is impossible to find a unique solution for x because the transformation T maps from a 2-dimensional space (R²) to a 3-dimensional space (R³). There will be an infinite number of solutions, or no solutions at all, as there isn't a unique way to determine a vector in R² that maps to a specific vector in R³ using this transformation.

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The correlation coefficient indicates the strength of the relationship

between the variables.

Question 15;

Question 2:

Question 17:

Question 18:

Question 19:

Reasons:

Question 15

Plotting the given values of temperature, x and number of birds seen y on

MS Excel gives the equation of best fit for the data as follows;

From the dialogue box that displays on the right select;

The equation of best fit is; y = 0.83·X + 2.63

Question 2:

The square of the correlation coefficient, R² = 0.9744

Which gives, R = √(0.9744) ≈ 0.9871

The high positive value of the correlation coefficient indicates that there is a correlation between the temperature and the number of bird seen.

Question 17:

When the temperature is 19 degrees, we have;

The number of birds seen, y = 0.83 × 19 + 2.63 = 18.4

When the temperature is 19 °C, the number of birds seen are 18 birds.

Blank # 1: 18 birds

Blank # 2: Interpolate

Question 18:

When only 6 birds are seen, we have;

6 = 0.83·X + 2.63

\(X = \dfrac{6 - 2.63}{0.83} \approx 4.06\)

When the number of birds seen is 6 birds, the temperature will be

approximately 4°C.

Blank # 1: 4°C

Blank # 2: Extrapolation; The values given and found are outside the given

range of values.

Question 19:

When the temperature is 30°C, we have;

y = 0.83 × 30 + 2.63 ≈ 27.53

The number of birds seen when the temperature is 30°C are 27 birds.

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Answer: D) 32

the second answer is C) 2

Step-by-step explanation: 4+2.4 = 6.4 * 12= 76.8/2.4=32

6-4= 2 * 3= 6/3=2

Answer:

Step-by-step explanation:

To answer these question we have to substitute the values we are given into the question!

1) \(\frac{12(x+y)}{y}\)

We are told that x is 4 and y is 2.4, this makes our question\(\frac{12(4+2.4)}{2.4}\)

Now we can solve it!

The answer is 32!

2) \(\frac{3(a-4)}{b}\)

We are told that a is 6 and b is 3, this make our question \(\frac{3(6-4)}{3}\)

Now can solve it!

Hope this helps, have a lovely day! :)