which of the following best describes a parabola.

Answer:

your answer will be H 44°

Step-by-step explanation:

ΔWVX

∠WVX=68°

∠WVX=∠WXV(two sides are equal)

now in ΔVWX-

sum of angles=360

60+60+VWX=180

∠VWX=180-136

=44°

hope it helps

have a great day!!

In kite the angle ∠VWX is 44 degrees.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles

ΔWVX

∠WVX=68°

∠WVX=∠WXV(two sides are equal)

now in ΔVWX

sum of angles=360

68+68+∠VWX=180

136+∠VWX=180

∠VWX=180-136

=44°

Hence, in kite the angle ∠VWX is 44 degrees.

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Answer:

Game =$6 and ride=$9, to solve is 3x+4y=54

x+y=15

Step-by-step explanation:

;)

Answer:

FH is the smallest angle since it is lesser than all the other ones.

The quotient of the expression as given in the task content is; 27/40.

It follows from the task content that the quotient of the expression which is given in the task content is to be determined.

Since the given expression is; (3/8) ÷ (5/9).

Hence, it follows from division of fractions that the expression can be rewritten as;

(3/8) × (9/5)

= 27/40.

Ultimately, the quotient of the expression is; 27/40.

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Alewuya invested $10,500 at 4% interest and $4,500 (15000 - 10500) at 15% interest.

Let's assume Alewuya invested an amount of x dollars at 4% interest and (15000 - x) dollars at 15% interest.

The interest earned from the first account (4% interest) is given by:

Interest_1 = x * 0.04

The interest earned from the second account (15% interest) is given by:

Interest_2 = (15000 - x) * 0.15

According to the given information, the total interest earned after one year is $1,095. Therefore, we can set up the equation:

Interest_1 + Interest_2 = 1095

Substituting the expressions for Interest_1 and Interest_2, we have:

x * 0.04 + (15000 - x) * 0.15 = 1095

Now, let's solve this equation to find the value of x:

0.04x + 0.15(15000 - x) = 1095

0.04x + 2250 - 0.15x = 1095

-0.11x + 2250 = 1095

-0.11x = 1095 - 2250

-0.11x = -1155

x = -1155 / -0.11

x = 10500

Therefore, Alewuya invested $10,500 at 4% interest and $4,500 (15000 - 10500) at 15% interest.

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The radius of gyration for the first region is 3, and the moment of inertia for the second region is 0.

To find the radius of gyration and the moment of inertia for the given regions.
First, let's find the radius of gyration of a plate covering the region bounded by x = 3, x = 6, y = 0, and y = 3 with respect to the y-axis.

So, the radius of gyration for the first region is 3, and the moment of inertia for the second region is 0.

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Answer:

AB = 8

AD = 10

<A = 118

<D = 62

Step-by-step explanation:

1. AB

Because opposite sides in a parallelogram are equal, DC = AB = 8.

2. AD

Because opposite sides in a parallelogram are equal, BC = AD = 10.

3. <A

Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118

4. <D

Opposite angles are equal in a parallelogram, so B = D = 62

Answer:

AB = 8

AD = 10

m∠A = 28°

m∠D = 62°

Step-by-step explanation:

A few facts to remember about a parallelogram.

1.  Opposites sides are congruent

2.  Opposites angles are congruent

3.  Consecutive angles are complementary

So, AB = 8,  AD = 10,  m∠A = 90 - 62 = 28°, m∠D = 62°

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

A polynomial is a mathematical equation that only uses addition, subtraction, multiplication, and non-negative integer exponents and is made up of variables and coefficients. To put it another way, a polynomial is an algebraic expression made up of terms that are sums, products, and/or products of variables and coefficients. The leading coefficient is the coefficient of the term with the highest degree, while the degree of a polynomial is the maximum power of the variable in the expression.

given

(a) We need to determine Q(10), Q'(10), and Q" in order to determine the second degree Taylor polynomial for Q(t) with a center at t=10 (10).

As we are aware, Q(10) = 200. (given in the problem statement).

We must take the derivative of Q(t) with respect to t in order to determine Q'(10):

Q'(t) = -5t + 250

Q'(10) = -5(10) + 250 = 200

We must take the derivative of Q'(t) with respect to t in order to determine Q"(10):

Q''(t) = -5

Q''(10) = -5

The second degree Taylor polynomial can now be calculated using the following formula: P2(t) = Q(10) + Q'(10)(t-10) + (1/2)Q"(10)(t-10)2.

With the numbers we discovered, we can calculate P2(t) as 200 + 200(t-10) + (1/2)(-5)(t-10)2.

\(P2(t) = 200 + 200(t-10) - (5/2)(t-10)^2\)

(b) We must assess the second degree Taylor polynomial at t=12 in order to determine how much oil is in the lake at that time.

P2(12) = 210 gallons because P2(12) = 200 + 200(12-10) - (5/2)(12-10)2. (rounded to the nearest gallon)

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

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Answer:

B: 0.50x + 3 = 4.50

Step-by-step explanation:

James needed an additional 3 scoops so the x would have to be on $0.50. the $3 is what the cone cost so it has to be with the scoop price. $4.50 is the total price of the ice cream so that would be on the other side of the equal sign, resulting in 0.50x + 3 = 4.50

The shape is an irregular pentagon

\(\huge\fcolorbox{blue}{red}{Answer}\)

════════════════════

\(\frac{ x }{ 3 } +6-2x=-6\)

\(x+18-6x=-18 \)

\(-5x+18=-18 \)

\(-5x=-18-18 \)

\(-5x=-36 \)

\(x=\frac{-36}{-5} \)

\(x=\frac{36}{5} \)

\(= 7 \frac{1}{5}\)

\(= 7.2\)

So the answer is \(x = 7.2\) or \(= 7.2\)

══════════════════════

Step-by-step explanation:

#Carry on learning

The number of basket Kathy will make out of 60 tries is 23 basket.

She keeps track of the number of basket she makes while practicing her free throw shots.  

She makes 7 baskets out of 18 tries.

This is when quantities have the same ratios. Therefore,

18 tries = 7 baskets

60 tries = ?

cross multiply

number of basket = 60 × 7 / 18

number of basket = 420 / 18

number of basket = 23.3333333333

number of basket = 23 basket.

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The link is in-secure....

Answer:163 bpm

Step-by-step explanation:

The running heart rate of a girl as per linear equation will be 178.7 bpm.

Linear equation is an equation where the highest power of a variable is 1.

As per given data,

The average walking heart rate of eight girls is = (66 + 72 + 74 + 78 + 80 + 84 + 86 + 88)/ 8 = 78.5 bpm.

The average running heart rate of eight girls is = (128 + 136 + 134 + 138 + 142 + 144 + 14 8 + 152)/8 = 1122/8 = 140.25 bpm.

Therefore, for walking heart rate of x, the running heart rate will be (140.25/78.5)x = 1.787x.

Hence, the linear equation between walking heart rate and running heart rate is y = 1.787x.

Now, for walking heart rate of 100 bpm of a girl, the running heart rate will be = 1.787 × 100 bpm = 1787.7 bpm.

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The measure of the arc CE would be -

m. arc{CE} = 141°

A circle is a locus of a point which is constant from a given point.

Given is that the center of the circle is A.

We can write the measure of arc CE as -

m. arc{CE} = m. arc{CD} + m. arc{DE}

m. arc{CE} = 90 + 51

m. arc{CE} = 141°

Therefore, the measure of the arc CE would be -

m. arc{CE} = 141°

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The price of each plastic bead is $0.75 and the price of each metal bead is $1.25.

Let's assume the price of a plastic bead is 'p' dollars and the price of a metal bead is 'm' dollars.

We can create a system of equations based on the given information:

Equation 1: 7p + 5m = 7.25 (from the first bracelet)

Equation 2: 9p + 3m = 6.75 (from the second bracelet)

To solve this system of equations using elimination, we'll multiply Equation 1 by 3 and Equation 2 by 5 to make the coefficients of 'm' the same:

Multiplying Equation 1 by 3:

21p + 15m = 21.75

Multiplying Equation 2 by 5:

45p + 15m = 33.75

Now, subtract Equation 1 from Equation 2:

(45p + 15m) - (21p + 15m) = 33.75 - 21.75

Simplifying, we get:

24p = 12

Divide both sides by 24:

p = 0.5

Now, substitute the value of 'p' back into Equation 1 to find the value of 'm':

7(0.5) + 5m = 7.25

3.5 + 5m = 7.25

5m = 7.25 - 3.5

5m = 3.75

Divide both sides by 5:

m = 0.75

Therefore, the price of each plastic bead is $0.75 and the price of each metal bead is $1.25.

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Answer:

the mode is found by how much of the same number there is making the mode 1

the average is found by adding up all of it and dividing it by how many there is making it 4.2 if you need to round it, tha anwser is 4

Answer:

d)14

Step-by-step explanation:

use Pythagoras

a² = b² ,+ c²

50² = 48² + c²

2500 - 2304 = c²

196 = c²

√196 = c

c=14

We have to find at what speed will the car get the maximum mileage.

This can be done calculating the first derivative for m(x) in respect to x:

Now we equal it to 0 and solve for x:

As x = 45 is within the valid interval (between 20 and 70), we know it is a valid solution.

The maximum mileage happens at 45 miles per hour.

We can now calculate this gas mileage as m(45):

The maximum mileage is 32 miles per gallon.

We can see it in a graph as:

Answer: the maximum mileage happens at a speed of 45 miles per hour, and the maximum mileage is 32 miles per gallon.

Answer:

18°

Step-by-step explanation:

First, we find the angle of the large piece of paper that is 1/4 of a circle.

The angle in a circle is 360°. The angle in 1/4 of a circle is:

1/4 * 360 = 90°

He cuts the paper into five equal parts from the center point of the circle. That means the angle was divided into 5 parts:

1/5 * 90 = 18°

Each part has an angle of 18°,

Answer: it's 18

Step-by-step explanation: 18 is the answer hope this helps

The marital status of each member of a randomly selected group of adults is an example of a categorical variable.

A categorical variable is a type of variable that can be divided into distinct categories or groups. In this case, the marital status of adults can be categorized into different groups such as married, single, divorced, widowed, etc. Each member in the group would fall into one of these categories based on their marital status.

Therefore, the marital status of each member of a randomly selected group of adults is an example of a categorical variable.

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3x-9x²

Factor out 3x from the expression

Answer: 3x^ x(1-3x)

To arrange the 7 men and 7 women alternately around a table, we can first place the men in a circular manner. Since there are 7 men, there will be 6! ways to arrange them (considering that rotations are identical). Next, we can place the women in the 7 available spaces between the men.

A) In how many ways can 7 men and 7 women sit around a table so that men and women alternate? Assume that all rotations of a configuration are identical and hence counted as just one.

First, we can choose the position of the men around the table in 7! ways. Then, we can place the women in the remaining positions in 7! ways as well. However, we need to account for the fact that men and women must alternate. We can do this by fixing the position of one gender (say, men) and arranging the other gender (women) in the spaces in between. We have 7 spaces in between the men, so we can arrange the women in these spaces in 7! ways. However, we must also account for the fact that we could have started with women and arranged men in the spaces in between. Therefore, the total number of ways to arrange 7 men and 7 women around a table so that men and women alternate is:

2 * 7! * 7! * 7! = 20,160,000

B) In how many ways can 8 distinguishable rooks be placed on a 8 x 8 chessboard so that none can capture any other, namely no row and no column contains more than one rook?

First, we can place the first rook in any of the 64 squares on the board. Then, we must place the second rook in a square that is not in the same row or column as the first rook. There are 14 squares in the same row or column as the first rook, so there are 50 squares remaining for the second rook to be placed in. We continue in this manner, placing each subsequent rook in a square that is not in the same row or column as any of the previously placed rooks. Therefore, the total number of ways to place 8 distinguishable rooks on an 8 x 8 chessboard so that none can capture any other is:

64 * 50 * 36 * 25 * 20 * 15 * 10 * 5 = 3,416,748,800

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One machine will be used for 30 minutes, while the other will be used for 10 minutes when you have 40 minutes to work out at the gym, and you want to use both equipment to burn a total of 300 calories.

Given that,

You have 40 minutes to work out at the gym, and you want to use both equipment to burn a total of 300 calories.

We have to find how long should you spend using each device.

We know that,

Let the number of minutes spent on one machine be x

and number of minutes spent on the other machine be y

Total time spent is 40 minutes

x+y=40   ---->equation(1)

Calories burnt in one machine 8 cal per min

Calories burnt in other machine is 6 cal per min

Total calories to be burnt is 300 calories

8x+6y=300   ----->equation(2)

Multiply 8 to equation(1) and subtract equation(2).

8(x+y=40)

8x+8y=320

8x+6y=300

-----------------

0+2y=20

y=20/2

y=10

Substitute y=10 in equation (1)

x+y=40

x+10=40

x=40-10

x=30

Therefore, One machine will be used for 30 minutes, while the other will be used for 10 minutes when you have 40 minutes to work out at the gym, and you want to use both equipment to burn a total of 300 calories.

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The probability that joe will be accepted at both universities is 0.10 or 10 %

Given that,

Joe is thinking about getting his MBA. He submitted applications to two separate colleges. For applicants with comparable qualifications, university an accepts 25% of them, while university b accepts 40% of them.

To find it ,

Probability  for applicants with similar qualifications is 25 percent for university a is P(A) is 0.25

Probability  for applicants with similar qualifications is 40 percent for university a is P(B) is 0.40

The probability that joe will be accepted at both universities is product of probabilities

P(A*B) = P(A) * P(B)

            = 0.25 * 0.40

            =  0.10

P(A*B)= 0.10 or 10%

Hence,The probability that joe will be accepted at both universities is 0.10 or 10 %

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Ans : A and F

Step-by-step explanation:

Answer:

As shown in picture:

Triangle LMN has 3 angles which are smaller than 90

=> Acute triangle (option C)

Triangle LMN has 2 sides which are equal in length (LM and LN)

=> Isosceles triangle (Option F)

Hope this helps!

:)

Answer:

Step-by-step explanation:

I think it's 21

g(10)=2(10)+1

2x10=20

20+1= 21

sorry wrong answer; I guess the right answer is -0.8

The arc length is D) 3.14 meters.

What is arc length?

In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.

It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.

The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.

                                      \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

Here the give circle Radius PR = 3m and θ=60°.

Now using arc length formula then,

=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)

=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)

=> \(A_L\) = 3.14 m.

Hence the arc length is D) 3.14 meters.

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