Find the percent of change. Round to the nearest tenth, if necessary.

During the winter, the grill was marked at $85. In June, the price was changed to $110.50.

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The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Answer:

24

Step-by-step explanation:

6 sides on die

2 sides on each coin

6 x 2 x 2 = 24

Answer:

∠ SOU = 138°

Step-by-step explanation:

the opposite angles of a tangent kite are supplementary, sum to 180° , so

∠ SOU + ∠ STU = 180° , that is

∠ SOU + 42° = 180° ( subtract 42° from both sides )

∠ SOU = 138°

The area of the diamond shape figure ABCD is approximately 331.95 square units.

How to find area?

To find the area of the diamond shape figure ABCD, we need to first find the length of the diagonals. Since we know that the opposite sides of a diamond shape are equal and parallel, we can divide the shape into two congruent triangles ABD and BCD.

Let's use the Pythagorean theorem to find the length of the diagonal AC, which is also the hypotenuse of the right-angled triangle ACD:

AC² = AD² + CD²

CD is half the length of BC, which is 12, so CD = 6. Substituting the values, we get:

AC² = 25² + 6²

AC²= 625 + 36

AC²= 661

AC = √661 ≈ 25.74

Similarly, we can find the length of the diagonal BD, which is also the hypotenuse of the right-angled triangle ABD:

BD²= AD² + AB²

AB is half the length of BC, which is 12, so AB = 6. Substituting the values, we get:

BD²= 25²+ 6²

BD² = 625 + 36

BD²= 661

BD = √661 ≈ 25.74

Now that we know the lengths of both diagonals, we can use the formula for the area of a diamond shape:

Area = (AC × BD) / 2

Substituting the values, we get:

Area = (25.74 × 25.74) / 2

Area ≈ 331.95

Therefore, the area of the diamond shape figure ABCD is approximately 331.95 square units.

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The reflection of the point P(4, -1) over the x-axis is Rx-axis(P) = (4, 1).

To find the reflection of the point P(4, -1) over the x-axis, we need to change the sign of the y-coordinate while keeping the x-coordinate the same.

The reflection of a point over the x-axis will have the same x-coordinate but the y-coordinate will be the opposite sign.

Given the point P(4, -1), the reflection over the x-axis, Rx-axis(P), can be found as follows:

Rx-axis(P) = (4, -(-1))

Simplifying the expression:

Rx-axis(P) = (4, 1)

We must modify the sign of the y-coordinate while maintaining the x-coordinate in order to determine the reflection of the point P(4, -1) across the x-axis.

The x-coordinate of a point reflected across the x-axis will remain the same, but the sign of the y-coordinate will change.

The reflection across the x-axis, Rx-axis(P), for the position P(4, -1), may be obtained as follows:

Rx-axis(P) = (four, minus one).

Condensing the phrase:

(P) = (4, 1) Rx-axis

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Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

Answer:

median

Step-by-step explanation:

the median is literally the middle number--half the numbers are higher, half the numbers are lower.

The conclusion which we get after analyzing the data given is that there aren't outliers in the displayed data set.

We will calculate the interquartile range and us the rule 1.5 .

The formula to calculate  interquartile range is to subtract the value of first quartile by the value of second quartile.

IQR = Q3 - Q1

Therefore, interquartile range becomes,

IQR = 17 - 13

IQR = 4

Now , we will apply rule 1.5 and for that we will multiply 4 by 1.5 first

4 * 1.5 = 6

and then,

17 + 6 = 23

on applying the rue we will get ,

13 - 6 = 7 .

This value means that there is no outlier in the displayed data set.

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Answer:

The answer is $0.65, or 65 cents.

Answer:

$.65

Step-by-step explanation:

so 65 cents

Answer:

0.00110192837

Step-by-step explanation:

Answer:

y =  -6x + -1

Step-by-step explanation:

the equation of a line in slope-intercept form is y= mx + b

m =slope b = y intercept

here m = -6

⇒ y= 6x + b ← is the partial equation

to find b substitute (-1,1)  into the partial equation

y =  -6x + -1

Answer:

b

Step-by-step explanation:

b

Answer:

-8/3 = d OR -2 2/3

Step-by-step explanation:

9d-4d-2d+8=-3d               Well first combine all like terms

3d+8=-3d                Now isolate the variable by subtracting 4d from both sides

3d(-3d) + 8= -3d (-3d)

8= -3d                             Divide both sides by -3

-8/3 = d OR -2 2/3

The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.

Given:

the 3 angle bisectors of a triangle intersect.

when three angle bisector of a triangle intersect then that point of concurrency is called incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Incenter formula:

= (ax1+bx2+x3 / a+b+c  , ay1+by2+y3 / a+b+c).

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Answer:

22

Step-by-step explanation:

Basically X-14-8   so  8+14=X  X=22

a. No, the selection of the adults is not a binomial experiment.

A binomial experiment is a statistical experiment that has a fixed number of trials and two possible outcomes, often referred to as a "success" and a "failure". In this case, the sample of adults surveyed is not a fixed number of trials, and there is no set number of successes or failures.

Rather, the survey is attempting to measure the percentage of adults who save nothing for retirement. Therefore, the selection of the adults is not a binomial experiment.

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Answer:

1/125

Step-by-step explanation:

=1/5*5*5

=1/5^3

=1/125

Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:

5^-3 = 1/(5^3)

Answer:

8π units²

Step-by-step explanation:

center=((-1+3)/2,(-2+2)/2)=(1,0)

\(radius~r=\sqrt{(3-1)^2+(2-0)^2} =\sqrt{4+4} =\sqrt{8} \\area~of~circle=\pi r^2=\pi \times (\sqrt{8} )^2=8\pi ~square~units.\)

The information is not enough  because there can be different number-patterns or rules that start with those initial terms. We need to use the pattern rule and the initial terms of each sequence to correctly predict the next few terms of each sequence.(The sequences are given below)

Therefore, we need to look at more terms or patterns to establish a rule.

Observing the given sequences, we can see that sequence A adds 3 to the previous term to make the next term. Similarly, sequence C uses the rule that each term is 3 more than the square of the position of the term. However, sequence B does not follow a simple pattern, since each term in sequence B is double the previous term. Therefore, we need to use the initial terms and the pattern rule to predict future terms of the sequences.

In summary, having more terms and looking for a pattern is essential in predicting the trends in a sequence.

The next three terms of sequence A are 19, 22, and 25.

The next three terms of sequence B are 160, 320, and 640.

The next three terms of sequence C are 37, 50, and 65.

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Answer:

2955

Step-by-step explanation:

The ratio of yes votes to no votes is 3:2.

The total ratio is:

3 + 2 = 5

Let the total number of votes be x.

The number of yes votes was 1773. This means that:

3/5 * x = 1773

3x = 1773 * 5

x = (1773 * 5) / 3

x = 2955 votes.

There were 2955 votes in total.

Answer:

Step-by-step explanation:

a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50

Anything raised to 0 is 1  {Eg: 15⁰ = 1 ,(-k)⁰ = 1}

b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61

c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴

In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ

d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵

In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ

e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵

Answer:

11

Step-by-step explanation:

Answer:

See answer is Explanation

Step-by-step explanation:

4 divided by 25 is 0.16

6 divided by 25 is 0.24

6 x 4 = 24

4 x 25 = 100

6 x 25 = 150

Answer:

A,B

Step-by-step explanation:

4(2x+y)

4•2x + 4•y

8x+4y

2(4x+2y)

2•4x + 2•2y

8x+4y

The equation of the line that is perpendicular to line y = 7x/4+7 is y = -4x/7+12/7 and the equation of the line that is parallel to this line is y = 7x/4+11.

According to the question,

We have the following information:

y = 7x/4+7

Now, the slope of this line is 7/4 which will be the slope of the parallel line and the slope of the perpendicular line will be -4/7 (-1/m).

Points through line is passing = (-4,4)

x' = -4 and y' = 4

Now, we know that following formula is used to find the equation of the line:

(y-y') = m(x-x')

Perpendicular line:

y-4 = -4/7(x+4)

y-4 = -4x/7-16/7

y = -4x/7-16/7+4

y = -4x/7+12/7

Parallel line:

y-4 = 7/4(x+4)

y-4 = 7x/4+7

y = 7x/4+7+4

y = 7x/4+11

Hence, the equation of the line that is perpendicular to line y = 7x/4+7 is y = -4x/7+12/7 and the equation of the line that is parallel to this line is y = 7x/4+11.

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Answer:

[See Below]

Step-by-step explanation:

______________________________________

✦ Dependent Variable:

✦ Independent Variable:

______________________________________

A) The \(y\) depends on the \(x\).

______________________________________

B) Temperature is dependent on Time of day.

______________________________________

C) I have included a graph.

______________________________________

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

1/ \(x^{-8}\)

Step-by-step explanation:

when there is two powers the correct method to solve is to multiply them so

4 * -2 = -8

Answer:

y = 9

Step-by-step explanation:

The line "y = 9" is parallel to the x-axis and passes through (0,9).

Answer:

i think its c

Step-by-step explanation:

Hope this helps!!

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

It is called a "variable" or sometimes an "unknown"

A variable is an abstract storage location paired with an associated symbolic name, which contains some known or unknown quantity of information referred to as a value; or in simpler terms, a variable is a named container for a particular set of bits or type of data.

here, we have,

The letter "x" is often used in algebra to mean a value that is not yet known.

It is called a "variable" or sometimes an "unknown".

In x + 2 = 7, x is a variable, but we can work out its value if we try!

A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Hence, x is called a "variable" or sometimes an "unknown".

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