What are the vertices of APQR?
A. P, Q, and R.
O B. ZP, ZQ, and ZR
C. None of these
O D. PQ, QR, and PR
I need help

Answer:

Step-by-step explanation:

x≥3

x<5

x≤ 11/4

x>7

x<2

Answer:

100°

Step-by-step explanation:

The sum of all the angles of a kite is 360°.

So:

360-(124+36)

=200

∠s = 200/2

    =100°

Hope this helped lol

Answer:

add the number on the bar graph to get the answer so add all of the charts numbers together

Step-by-step explanation:

The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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The perimeter of the rectangular bedroom is 126 feet.

To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.

The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

Therefore, the perimeter of the rectangular bedroom is;

P = 32 + 31 + 32 + 31

P = 126 feet.

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The value of the rational expression when x is equal to 4 is 2. The correct answer is option C: 2.

To find the value of the rational expression (x - 12)/(x - 8) when x is equal to 4, we substitute x = 4 into the expression:

[(4) - 12]/[(4) - 8]

Simplifying the numerator and denominator:

(4 - 12)/(-4)

Further simplifying the numerator:

(-8)/(-4)

Now, we can divide -8 by -4:

(-8)/(-4) = 2

So, when x is equal to 4, the value of the rational expression is 2.

Therefore, C is the right response.

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Answer:

(7x+3) (x-1)

hope this helps!!:)

Step-by-step explanation:

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

84 candies in a 4.2 ounce bag

Step-by-step explanation:

30/1.5 = 20 candies per ounce

20(4.2) = 84 candies in a 4.2 ounce bag

Answer:

6+3x=w

Step-by-step explanation:

6 *more* more always means +

and then three *times* times always means *

so it would equal 6+3x=w

Answer:

The investment will grow to approximately 2,331.94 at the end of 5 years.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(n*t)

where:

A = the amount at the end of the investment period

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have:

P = 1,000 (initial deposit)

r = 0.12 (12% annual interest rate)

n = 4 (compounded quarterly, so 4 times per year)

t = 5 (the investment period is 5 years)

So the formula becomes:

A = 1,000(1 + 0.12/4)^(4*5) = 1,000(1.03)^20 ≈ 2,331.94

Therefore, the investment will grow to approximately 2,331.94 at the end of 5 years.

Hope this helps, I'm sorry if it doesn't. If you need more help, ask me! :]

Answer:

11 feet

hope this helps

Answer: Hope this helps!!!

Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.

Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.

Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.

Answer: 84 mph   60 mph

Step-by-step explanation:

Let her average speed to home was x mph

Hence, the average speed to her parents was (x+24) mph

Thus:

Jessie spent for the trip to her parents' house: 385/x hours

Jessie spent for the trip to home: 385/(x+24) hours

\(\displaystyle\\\frac{385}{x} +\frac{385}{x+24} =11\\\\385(x+24)+385(x)=11(x)(x+24)\\\\385x+9240+385x=11x^2+264x\\\\770x+9240=11x^2+264x\\\\770x+9240-770x=11x^2+264x-770x\\\\9240=11x^2-506x\\\\9240-9240=11x^2-506x-9240\\\\0=11x^2-506x-9240\\\\Divide\ both\ parts\ of\ the \ equation\ by\ 11:\\\\0=x^2-46x-840\)

\(\displaystyle.\\Thus,\\\\x^2-46x-840=0\\\\D=(-46)^2-4*1*(-840)\\\\D=2116+3360\\\\D=5476\\\\\sqrt{D} =\sqrt{5476} \\\\\sqrt{D}=74 \\\\x=\frac{466б74}{2*1} \\\\x=\frac{46-74}{2} \\\\=\frac{-28}{2} \\\\x=-14\notin(x > 0)\\\\x=\frac{46+74}{2}\\\\x=\frac{120}{2} \\\\x=60\ miles\ per\ hour\)

\(60+24=84\ miles\ her\ hour\)

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

Step-by-step explanation:

Measure of inner angle of the n-sided polygon is

\(\frac{180(n-2)}{n}\)

~~~~~~~~~~~~~~

m∠PQR = \(\frac{180(10-2)}{10}\) = 144°

PQ = QR ⇒ m∠QPR = m∠QRP

m∠PRQ = ( 180° - 144° ) ÷ 2 = 18 °

Answer:

∠PRQ = 18°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)

Interior angle of a regular polygon = sum of interior angles ÷ n
(where n is the number of sides)

Given:

⇒ Sum of interior angles of a polygon = (10 - 2) × 180° = 1440°

⇒ Interior angle of a regular polygon = 1440° ÷ 10 = 144°

Therefore, as PQ and QR are the sides of the polygon, ∠PQR = 144°

Sum of interior angles of a triangle = 180°

⇒ ∠PQR + ∠RPQ + ∠PRQ = 180°

⇒ 144° + ∠RPQ + ∠PRQ = 180°

⇒ ∠RPQ + ∠PRQ = 36°

As the polygon is regular, PQ = QR which means that ΔPQR is isosceles.

Therefore, ∠RPQ = ∠PRQ

⇒ ∠PRQ = 36° ÷ 2 = 18°

Answer:

700,000 + 90,000 + 8,000 + 50 + 4

The expanded form of the number 798,054 is:

798,054 = 700,000 + 90,000 + 8,000 + 50 + 4

In expanded form, a number is written as a sum of its place values.

Each digit in the number is represented according to its position or place value in the number.

Let's break down the number 798,054 into its place values:

Hundreds of thousands place: 7 (700,000)

Ten thousands place: 9 (90,000)

Thousands place: 8 (8,000)

Hundreds place: 0 (0)

Tens place: 5 (50)

Ones place: 4 (4)

Now, we can write the number in expanded form:

798,054 = 700,000 + 90,000 + 8,000 + 0 + 50 + 4

So, the expanded form of the number 798,054 is:

798,054 = 700,000 + 90,000 + 8,000 + 50 + 4

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The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer : 1/6

Explanation : If 216 is divided by 36, you will get your answer 1/6.

Answer:

Answer:

Please tell me the total of students?

Step-by-step explanation:

Answer:

70% of the people at the carnival are students.

Step-by-step explanation:

Since the total is 550:

To find the percentage, we need to divide the amount of students by the total:

385/550=0.7

Then multiply the quotient by 100 and you have the percentage!

0.7*100=70

Answer:

30

Step-by-step explanation:

21 gluten free itmes is 70 percentage of total

total is 21/0.7 = 210/7 = 30

Answer:

y = 5

Step-by-step explanation:

Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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Answer:

6×6×1-(2×2×1)=36-4=32.

Answer:

$5.86

Step-by-step explanation:

The total was $36.31

We were given the price of 1, which was $1.15

$36.31-$1.15 = $35.16 remaining

Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6

$35.16/6 = $5.86

Answer:

Height = 6 units

Step-by-step explanation:

Recall that the volume of a pyramid is defined as:

Volume = 1/3  Base x Height

Then, in our case we have:

140 = 1/3 (70) x Height

we multiply by 3 both sides to eliminate the fraction on the right:

420 = 70  Height

divide by 70 to isolate the Height completely:

420 / 70 = Height

Therefore, the height is:

Height = 6 units

The value of x=0.301 at the x the graph of the function have a horizontal tangent.

Given that,

The function is f(x)=eˣ-2x

We have to find the value of x does the graph of the function have a horizontal tangent.

Where the derivative of a function is zero, a graph's horizontal tangent line is a mathematical feature. This is so that the derivative, by definition, can provide the slope of the tangent line. The slope of horizontal lines is zero. As a result, when the derivative is zero, the tangent line is horizontal.

For horizontal tangent line,

f'(x)=0

The differentiation of the function is

eˣ-2=0

eˣ=2

Taking logarithm on both sides.

logeˣ=log2

We know that loge=1

So,

x loge=log2

x(1)=log2

x=log2

x=0.301

Therefore, the value of x=0.301 at the x the graph of the function have a horizontal tangent.

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When the measure of angle OP is 43°, the measure of angle TRI is 137°.

To find the measure of angle TRI, given that the measure of angle OP is 43°, we need to apply the properties of angles in a triangle.

In a triangle, the sum of all interior angles is always 180°. Therefore, we can use this property to find the measure of angle TRI.

Let's denote the measure of angle TRI as x.

We know that angle OP has a measure of 43°. Additionally, angle O and angle P form a straight line, which means their sum is 180°.

Therefore, we have the equation:

43° + angle O = 180°

Substituting the value of angle O, we have:

43° + angle TRI = 180°

Now, we can isolate the variable angle TRI by subtracting 43° from both sides of the equation:

angle TRI = 180° - 43°

Calculating the right side of the equation, we have:

angle TRI = 137°

Hence, the measure of angle TRI is 137°.

To summarize, when the measure of angle OP is 43°, the measure of angle TRI is 137°.

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