Which of the following systems of linear inequalities is represented by the
solution graphed below?
O A. y>2 and ys x
O B. y22 and rex
O C. x> 2 and y2 x
O D. x22 and y > x

Answer:

[tex] {75ft}^{2} [/tex]

Step-by-step explanation:

[tex]a = \pi{r}^{2} = 3 {r}^{2} \\ a =3 ({ \frac{10}{2} })^{2} = 3 \times {5}^{2} \\ a = 3 \times 25 = 75[/tex]

To start solving this exercise, we obtain as data:

To find the area of the circle. We apply the following formula: A =π r², where

We substitute our data in the formula and solve:

Substituting values into the equation:

Taking the square root:

Multiplying

Therefore, the area of the circle is 300 ft².

r = 3 + 3cos(θ) polar equation would best match the desired audible range of the microphone.

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Answer:

D

Step-by-step explanation:

Answer:

C. (32/4)*2

Step-by-step explanation:

C is the correct answer because when we divide 4/2 it equals 2.

Hope this helps!

Answer:

D

Step-by-step explanation:

Given expression:

[tex] \dfrac{32}{4} \times \dfrac{4}{2} \times 2 [/tex]

Evaluation of the given expression:

[tex] = 8 \times 2 \times 2 [/tex]

[tex] = 32 [/tex]

A.     [tex] \dfrac{32}{\frac{16}{4}} = \dfrac{32}{4} = 8 [/tex]

B.     [tex] 8 \times \dfrac{4}{2} = 8 \times 2 = 16 [/tex]

C.     [tex] \dfrac{32}{4} \times 2 = 8 \times 2 = 16 [/tex]

D.     [tex]8 \times \dfrac{4}{2} \times 2 = 8 \times 2 \times 2 = 32[/tex]

Only expression D evaluates to the same value as the given expression.

Answer: D

The graph depicts that at the end of the snowstorm, there was 5 inches of snow left. See the attached graph.

It is not be noted that the total amount of hours which the snow fell is:

2 + 9 = 11 hours.

Although the graph depicts a peak of 14 hours, recall that there were three hours when the snow didn't fall.

While the maximum depth of the snow was 11 inches.

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The value of y from the given expression is 5

Given:

BD = 16

BC = 2y - 2

CD = y + 3

Since AC is a perpendicular bisector of BD:

BC  =  CD

2y - 2 = y + 3

2y - y = 3 + 2

y  =  5

Hence, the value of y from the given expression is 5

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The value of n in 1/5n+3/5n=7/9 is 35/36

The equation is given as:

1/5n+3/5n=7/9

Multiply through by 5

n + 3n = 35/9

Evaluate the sum

4n = 35/9

Divide both sides by 4

n = 35/36

Hence, the value of n in 1/5n+3/5n=7/9 is 35/36

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a. The mean, median and mode for this plot are 70.8, 70 and 60 respectively.

b. Mean best represents the data for this plot.

c. When there are outliers, the mean might be a deceptive center tendency measure.

Mean, Median, and Mode

Mean = Sum of prices / Total number of sunglasses

Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25

Mean = 70.8

Median is equal to (n/2 + 1) when n is an odd number.

Here, the number of sunglasses is represented by n.

⇒ (25/2 + 1)th term is the median

Median = 13th term

Median = 70

Mode is the most frequent data from the plot.

⇒ Mode = 70

Mean Being the Best Central Measure

The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.

Misleading Measure

When there are outliers, the data mean is significantly impacted. As a result, it may be inaccurate when examining the data's average price.

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Answer:

( 9, -12 )

Step-by-step explanation:

Mario's Math Tutoring

you have the midpoint

2, -5

use the midpoint formula

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

to get the endpoint

x :

(-5+x2)/2 = 2

(-5+x2) = 4

-5+x2 = 4

x2 = 9

y:

(2+y2)/2 = -5

(2+y2) = -10

2+y2 = -10

y2 = -12

Thank you Mario!

The values of b and c are -4 and 4 respectively

The function is given as:

f(x) = x^2 + bx + c

Differentiate f(x)

f'(x) = 2x + b

Set to 0

2x + b = 0

Solve for b

b = -2x

The minimum is (2, 0).

So, we have:

b = -2 * 2

b = -4

Substitute b = -4 in f(x) = x^2 + bx + c

f(x) = x^2 - 4x + c

Substitute (2, 0)

0 = (2)^2 - 4(2) + c

This gives

0 = 4 - 8 + c

Evaluate

c = 4

Hence, the values of b and c are -4 and 4 respectively

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Answer:

3

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (1 - 7)/(3 - 5)

slope = -6/(-2)

slope = 3

Parallel lines have equal slopes.

Answer: 3

Answer:

it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.

Answer:

Step-by-step explanation:

      the answer is on the graph

Answer:

3x +8 = -5x

3x + 5x = -8

8x = -8x

x = -8 /8

x = -1

Hope it helps...

Please contact me for further explanation....

Answer:

13 in

Step-by-step explanation:

let w be width then length is w + 6

the area (A) of a rectangle is calculated as

A = length × width , then

A = w(w + 6) = 91 , that is

w² + 6w = 91 ( subtract 91 from both sides )

w² + 6w - 91 = 0 ← in standard quadratic form

(w + 13)(w - 7) = 0 ← in factored form

equate each factor to zero and solve for w

w + 13 = 0 ⇒ w = - 13

w - 7 = 0 ⇒ w = 7

however, w > 0 then w = 7

and length = w + 6 = 7 + 6 = 13 in

The seventh term of the sequence is 364.5

From the question, we are to determine the seventh term of the sequence

Using the formula,

[tex]a_{n} = ar^{n-1}[/tex]

Where [tex]a_{n}[/tex] is the nth term

a is the first term

and r is the common ratio

From the given information,

a = 1/2

r = 3

Thus,

[tex]a_{7} = (\frac{1}{2}) 3^{7-1}[/tex]

[tex]a_{7} = (\frac{1}{2}) 3^{6}[/tex]

[tex]a_{7} = \frac{1}{2} \times 729[/tex]

[tex]a_{7} = 364\frac{1}{2} \ OR \ 364.5[/tex]

Hence, the seventh term of the sequence is 364.5

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Answer:

The area of the square is 121mm

Step-by-step explanation:

To solve this we need two basic formulas:

P = 4s

A = [tex]s^{2}[/tex]

P = perimeter

s = the length of the side

Since the shape is a square all the sides are the same length. To get the value of 's' we need to isolate:

P = 4s

44 = 4s

44 / 4 = 4s / 4

11 = s

Now plug in the answer for 's' to get the area:

A = [tex]s^{2}[/tex]

A = [tex]11^{2}[/tex]

A = 121

Hope this helps.

he has 231 pennies..............

Answer:

(D) 30

Step-by-step explanation:

number of green marbles = x

number of red marbles = 5

total number of marbles = x + 5

p(red) = (number of red marbles)/(total number of marbles)

p(red) = 5/(x + 5)

p(red) = 1/7

5/(x + 5) = 1/7

(x + 5) × 1 = 5 × 7

x + 5 = 35

x = 30

Answer: (D) 30

Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.

Reason Behind a Biased Estimator

The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a  biased estimator.

Brief Description of Sample Mean Absolute Deviation

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.

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The volume of the pyramid is 13 units³.

A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.

Volume of a pyramid = 1/3 x prism

1/3 x 39 = 13

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Answer:

y-intercept = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

the coefficient is the slope  (slope = -2/9x)

the constant is the y-intercept   (y-intercept=1/3)

this is true for all functions like this

Answer:

The y-intercept is

c) 1/3

Step-by-step explanation:

Answer:

last answer:

h(x) = 1/4 x

Step-by-step explanation:

First, change f(x) to y.

f(x) = 4x

y = 4x

Then switch the x and y.

y = 4x

x = 4y

Last, solve for y.

x = 4y

x/4 = 4y/4

x/4 = y

y = x/4

This is the same as:

y = 1/4 x

h(x) = 1/4 x

The best explanation for the formula is: A. The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

The area of a sector of a circle equals measure of the central angle subtended by the sector over the angle measure of a full circle multiplied by the area of the circle.

A full circle has an angle measure of 360 degrees.

The area of a circle = pi(r²).

Therefore, the formula for the shaded sector of a circle would be represented by the formula: ∅/360 × πr².

Here, we have:

Central angle (∅) = measure of angle ZYX

Measure of full circle = 360 degrees

Area of a circle = πr². (area formula for the circle that contains the sector)

Therefore, the statement that best explains the formula, (m∠ZYX)/360 × πr², used for finding the shaded sector in the circle is: A. The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

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Answer:

its the first answer "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."

Step-by-step explanation: i got it right because im smort

Answer:

=========================

The law of sines is:

Find the value of ∠C using the angle sum theorem:

Find side a:

Note, the sides of a triangle are marked as:

Use two pairs with one unknown:

Substitute values and solve for a:

Find side b, similar to finding side a:

Answer:

a = 16.5 cm (nearest tenth)

b = 23.8 cm (nearest tenth)

Step-by-step explanation:

Definition

A, B and C are the angles and a, b and c are the sides opposite the angles.

From inspection of the triangle:

Interior angles of a triangle sum to 180°:

⇒ A + B + C = 180°

⇒ 42° + 75° + C = 180°

⇒ C = 180° -  117°

⇒ C = 63°

To find the missing side lengths a and b, use the Sine Rule:

[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Substitute the given values into the Sine Rule formula:

[tex]\implies \sf \dfrac{a}{\sin 42^{\circ}}=\dfrac{b}{\sin 75^{\circ}}=\dfrac{22}{\sin 63^{\circ}}[/tex]

Finding side a:

[tex]\implies \sf \dfrac{a}{\sin 42^{\circ}}=\dfrac{22}{\sin 63^{\circ}}[/tex]

[tex]\implies \sf a=\dfrac{22\sin 42^{\circ}}{\sin 63^{\circ}}[/tex]

[tex]\implies \sf a=16.52162239...[/tex]

Therefore, side a is 16.5 cm (nearest tenth).

Finding side b:

[tex]\implies \sf \dfrac{b}{\sin 75^{\circ}}=\dfrac{22}{\sin 63^{\circ}}[/tex]

[tex]\implies \sf b=\dfrac{22\sin 75^{\circ}}{\sin 63^{\circ}}[/tex]

[tex]\implies \sf b=23.84984577...[/tex]

Therefore, side b is 23.8 cm (nearest tenth).

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Answer:

8(5) + 8(2)

Step-by-step explanation:

8 (5 + 2) is 8 (7) or 56

If I distribute the 8 through the problem, I will get the same answer

8(5) + 8(2)

40 + 16

56

The approximate area of circle A is π · 8² = 64π ≈ 201.062 square inches.

The approximate area of circle B is π · 4² = 16π ≈ 50.265 square inches.

The approximate area of shaded region 1 is 24² - 64π ≈ 374.938 square inches.

The approximate area of shaded region 2 is 64π - 16π = 48π ≈ 150.796 square inches.

In this situation we have a square whose side length is known and two circles whose radii have to be estimated. By direct inspection we find that the diameter of circle A is two thirds of the length of the square side (l), in inches and the diameter of circle B is the half of the diameter of the former. Now we proceed to find the key dimensions of the figure:

Circle A

Diameter: 16 inches

Radius: 8 inches

Circle B

Diameter: 8 inches

Radius: 4 inches

The approximate area of circle A is π · 8² = 64π ≈ 201.062 square inches.

The approximate area of circle B is π · 4² = 16π ≈ 50.265 square inches.

The approximate area of shaded region 1 is 24² - 64π ≈ 374.938 square inches.

The approximate area of shaded region 2 is 64π - 16π = 48π ≈ 150.796 square inches.

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The vertex of the transformed parabola with the equation [tex]y=a(x-h)^2+k[/tex] is (h, k).

The transformation rules are:

Translation: (x, y) → (x + a, y) or (x, y) → (x - a, y) (Horizontal shift)

Translation: (x, y) → (x , y + b) or (x, y) → (x , y - b) (Vertical shift)

It is given that, the transformed parabola is [tex]y=a(x-h)^2+k[/tex]

This parabola has vertex at (h, k).

Since this equation is obtained by shifting h units horizontally and k units vertically.

So, the original vertex is at (h - h, k - k) = (0, 0)

Thus, the equation of the actual parabola is [tex]y=ax^2[/tex]

Therefore, the given transformed equation of parabola has vertex (h, k).

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Answer:

B] (h,k)
The next answer is Vertex (-5, -4)

☆
EDGE2022; Good luck :3!!!!

Answer:

PRQ = 65 degrees

Step-by-step explanation:

Angles SPR and QPR and angles TQP and RQP form linear pairs, so they are supplementary (angle measures add up to 180 degrees).

SPR + QPR = 180

135 + QPR = 180

QPR = 45

TQP + RQP = 180

110 + RQP = 180

RQP = 70

Since interior angles of a triangle add up to 180 ...

QPR + RQP + PRQ = 180

45 + 70 + PRQ = 180

PRQ = 65

The probability of choosing. a green pen is 0.25

Probability is the likelihood or chance that an  event will occur. Mathematically;

Probability = Expected/Total outcome

If a bag has 3 blue pens, 6 red pens, and 3 green pens, then;

Total pen = 3+6+3

Total pen = 12

If a green pen is chosen, then

Pr(choosing a green pen) = 3/12

Pr(choosing a green pen) = 0.25

Hence the probability of choosing. a green pen is 0.25

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