Worth 25 points! Pls show work on both questions inside of the picture.

The dilations relation is C'D = (3/4)CD.

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

Its also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.

Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).

Given;

First, we want to dilate point C using D as the center of dilation with a scale factor = 3/4.

This only means that we will have the new point C', such that:

C'D = (3/4)*CD

Where CD is the distance between points C and D

Therefore, the dilation will be C'D = (3/4)*CD.

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Answer:

She earned $9.50 an hour

Step-by-step explanation:

Answer:

she earned $9.50

Step-by-step explanation:

76.00 ÷ 8 = $9.50

The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89

Total receipt= $17.92

4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts

Cost of chocolate chips = $2.59

Cost of 4 bags of chocolate chips = 4($2.59)

= $10.36

Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips

= $17.92 - $10.36

= $7.56

Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4

= $7.56 / 4

= $1.89

Therefore, each bag of walnut cost $1.89

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Answer: Step 1: Divide 17.92 by 4

              Step 2: Subtract 2.59 from 4.48

Step-by-step explanation:

The expression can be used to show how much Jim spend on lunch each day is y = 7

Amount Jim uses to purchase school lunch = $7.00

Amount with Jim = y

If Jim has the same amount of money and spends the amount he has on school lunch each day;

y = 7

Therefore, Jim spent a total of $7 each day on lunch.

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The amount of radioactive kind of nitrogen will be left after 30 minutes

is 240 grams.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A radioactive kind of nitrogen has an initial mass of 1930 grams and it has a half-life of 10 minutes.

Therefore, The amount of radioactive kind of nitrogen that will be there after 30 minutes is,

= 1920/2³.    (As 30 = 10×3)

= 1920/8.

= 240 grams.

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The correct illustration of plotting the points is attached in the image.

few of the points are (2, - 1), (3, 1), (4, 3), and (5, 5).

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the given information first, we plot a point (1, - 3) on the x-y coordinate.

Plotting more points by moving up 2 and right 1 would be, (x + 1, y + 2).

So, Some of such points are,

(2, - 1), (3, 1), (4, 3), and (5, 5).

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A. The area under the curve of the probability density function must sum to 1.

Probability density functions of continuous random variables are used to represent the probability of a given outcome within a specific range. The area under the curve of the probability density function is equal to the probability of the outcome occurring. As the area represents the probability of any outcome occurring, the sum of the area under the curve must always equal 1. Therefore, it is always true that the area under the curve of the probability density function must sum to 1.

The complete question is :

Which of the following is always true for all probability density functions of continuous random variables?

A. The area under the curve of the probability density function must sum to 1.

B. The probability density function must be symmetric.

C. The probability density function must be positive.

D. The probability density function must be decreasing.

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Answer:

I believe this is a zero polynomial since it has only one number

Answer:

3x is a monomial

Step-by-step explanation:

Monomial (One term) – 3x

Binomial (Two Term) – 7a-5

Trinomial (Three Term) – x^2-x-2

Answer:

AA

Step-by-step explanation:

cus it can't be the other cus there is no side

Answer:

Step-by-step explanation:

Answer: 39.805

Step-by-step explanation: 39.81 - 39.8 = 0.01

0.01 x 0.5 = 0.005

39.8 + 0.005 = 39.805

Answer:

No, the rectangles are not proportional.

Step-by-step explanation:

I say this because the area of the first one is 10ft x 12ft = 120 ft

But, the answer to the second rectangle is 9ft x 8ft = 72ft

Proportional means corresponding in size

So, the rectangles above are not proportional.

Hope this helps!

The total number of plants is given as follows:

168 plants.

The total number of plants is obtained applying the proportions in the context of this problem.

The variable that represents the total number of plants is given as follows:

n.

The fraction of the number of plants that needed water is given as follows:

3/8.

The fraction 3/8 of n is equivalent to an amount of 63, hence the total amount of plants is obtained as follows:

3n/8 = 63

3n = 63 x 8

n = 21 x 8(simplifying by 3).

n = 168 plants.

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The correct statement predicting the closest product is : 20

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here : Two mixed fractions as 5⁵/₂₉ and 3¹²/₁₃

But 5⁵/₂₉=150/29 and 3¹²/₁₃=51/13

Thus the product of the two mixed fractions are as follows

150/29×51/13 =20.292

Clearly the most reasonable product is 20

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The required solution of the given graph is given as,
(a) Domain = [-2, 2]
(b) Range = [0, 2]
(C) Function, yes given graph is of absolute function.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
From the graph, Function is defined for x = -2 to x = 2
So the domain of the function is given as [-2, 2].

For the respective domain, the range of the function is given as[0, 2].

Also, yes the relation shown in the graph is a function,
F(x) = -|x| + 2

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Answer:

Step-by-step explanation:

r:4/3 cm/s or 1.33 cm/s

An inequality that can be used to determine p, the number of people who can go to the amusement park, is,

28.75p + 17.25 ≤ 345.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A group of friends wants to go to the amusement park.

They have no more than $345 to spend on parking and admission.

Parking is $17.25, and tickets cost $28.75 per person, including tax.

An inequality that can be used to determine p, the number of people who can go to the amusement park, is,

28.75p + 17.25 ≤ 345.

Therefore, an inequality is 28.75p + 17.25 ≤ 345.

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The given system of simultaneous equations has no solutions.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given is the system of simultaneous equations as -

y = 3x + 9

6x − 2y = 6

Refer to the graph of the equations attached. The value of {x} and {y} for which both the equations are true is given by the point of intersection of both lines. Since both lines are parallel, there is no point of intersection and hence no solution.

Therefore, the given system of simultaneous equations has no solutions.

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The value of n from the given equation is 30.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 57,491 = 1,885n

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, n=57,491/1885

n=30.5

Therefore, the value of n is 30.5.

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"Your question is incomplete, probably the complete question/missing part is:"

Solve to find the value of n

57,491 = 1,885n

Answer:

  (a)  three angles: 62°, 34°, and 84°

Step-by-step explanation:

You want to know which specification can result in an infinite number of triangles.

If only the angles are specified, the sides can have an infinite number of (related) lengths.

  three angles: 62°, 34°, and 84° will create an infinite number of triangles

Assuming the side lengths can form a triangle, they will specify exactly one triangle.

Lengths 3 cm, 5 cm, and 10 cm cannot form a triangle.

When two sides are specified along with the angle between them, exactly one triangle can be formed.

The amount (present value) that Speedy Movers borrowed for a debt that accumulated to $52,467.60 in four years was $43,604.16.

The present value is the amount that Speedy Movers borrowed four years ago at 4.68% interest compounded semi-annually to accumulate to a future value of $52,467.60.

The present value is determined using discounting while the future value is computed by compounding.

We can determine both the present value and the future value using an online finance calculator.

N (# of periods) = 8 semiannual periods (4 years x 2)

I/Y (Interest per year) = 4.68%

PMT (Periodic Payment) = $0

FV (Future Value) = $52467.60

Results:

Present Value (PV) = $43,604.16

Total Interest = $8,863.44

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Answer:

$120

Step-by-step explanation:

Buying price

$80×6= $480

Selling price

$25×4×6= $600

Profit

$600-$480=$120

The profit on six dozen calculators is $120.

To calculate the profit on six dozen calculators, we need to find the cost of purchasing six dozen calculators and the revenue from selling six dozen calculators.

Since each dozen costs $80, the cost of purchasing six dozen calculators is:
$80 x 6 = $480

Since three calculators are sold for $25, the revenue from selling six dozen calculators is:
$25 x (6 x 12/3) = $25 x 24 = $600

The profit is the revenue minus the cost:
$600 - $480 = $120

The profit on six dozen calculators is $120.

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The total area from given figure is 53.13 square units.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

From the graph, we can see three shapes rectangle with length= 6 units and width= 5 units, triangle with height = 6 units and base = 3 units and semicircle with diameter = 6 units

Here, area of a rectangle is Length×Width

= 6×5

= 30 square units

Area of a triangle = 1/2 ×Base×Height

= 1/2 ×3×6

= 9 square units

Area of a semicircle = πr²/2

= 3.14×3²/2

= 3.14×4.5

= 14.13 square units

Total area = 30+9+14.13

= 53.13 square units

Therefore, the total area from given figure is 53.13 square units.

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Angle BAC is equal to 72 degrees, which is calculated by subtracting 2 times the angle of intersection between lines p and q (34 degrees) from 180 degrees.

Given that two lines p and q intersect at X at an angle of 34 degrees

Let A be a point inside the 34 degree angle formed by p and q

Then, let B be the reflection of A through line p, and let C be the reflection of A through line q

To find angle BAC,

we must first understand that a reflection of a point across a line results in an angle equal in measure to its original angle, but on opposite sides of the line of reflection.

In this case, because A is inside the 34 degree angle formed by lines p and q,

angle AXB must be equal to 34 degrees

angle AXC must also be equal to 34 degrees

Therefore, angle BAC must be equal to 180 degrees minus 2 times 34 degrees, or 72 degrees.

In conclusion, the angle BAC is equal to 72 degrees.

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Answer:

-4+4i and -4-4i

Step-by-step explanation:

To start off, we can distribute the x into the x+8 to get x^2 + 8x = -20. From here we can create a polynomial by moving the -20 to the other side by adding 20 to both sides to get x^2 + 8x +20 =0. From here we can check if there is any real solutions by finding the discriminant (the sqrt part of the quadratic formula) so 8^2-4(1)(20). 16-80. Because this gets us a negative number in an actual square root, there answers we would get would be imaginary.

However to solve what the roots are, we would plug the entire equation into the quadratic equation. Getting -8+- sqrt(-64)/2 which simplified is -4+-4i. Therefore our two answers are -4+4i and -4-4i

According to the table, the information does indeed justify using a normal model to approximation population characteristics.

The answer to the query is:

The following numbers are one standard deviation away:

= 0.33 + 0.36

= 0.69

According to the empirical rule, this value is:

= 0.68

As a result, and in accordance with the empirical rule, the quantities were always 0.95 with two standard deviations. Consequently, the data's empirical rule was followed.

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The correct question is-

The mean and standard deviation of the sample data collected on continuous variable x are −0.25 and 0.03, respectively. The following table shows the relative frequencies of the data in the given intervals.

Based on the table, do the data support the use of a normal model to approximate population characteristics?

The perimeter of the figure on the right is 40.26 yrd.  .

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter refers to the total outside length of an object.

here, we have,

from the given figure we get,

the radius of the circle = 6 yrd.

then, the perimeter = 2*pi* 6

                                = 37.68 yrd.

now, the figure is 3/4 th of the circle,

so, perimeter = 37.68 * 3/4 + 12

                      = 40.26 yrd.

Hence, The perimeter of the figure on the right is 40.26 yrd.  .

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The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).

The domain of a function is the input value for which the function exists while the range is the output value for which the function exists.

here, we have,

For the graph, the domain lie across the x-axis. The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).

Note that point where the circles are shaded shows a closed interval

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The slope of the linear relationship is -4/6

The general formula for the equation of a line is expressed as;

y = mx + c

Given that the parameters are;

The formula for determining the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

From the diagram shown, we have to substitute the values into the formula, we get;

Slope, m = -6 - (-2)/11 - 5

Expand the bracket

Slope,m  = -6 + 2/6

Subtract the values

Slope, m = -4/6

Hence, the value is -4/6

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