You have a wire that is 74 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum

Answer:

The slope is 0.

Step-by-step explanation:

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

y2 is -3, y1 is -3.

x2 is 1 and x1 is -9.

m= -3 -(-3)/ 1- (-9)

m= 0/10

m=0

The slope of the line that passes through the points (-9, -3) and (1, -3) is 0 because the y-coordinates of both points are the same and this results in a 'change in y' of 0.

In mathematics, the slope of a line passing through two given points can be calculated by the formula: (y2 - y1) / (x2 - x1). Where y2 and y1 represent the y-coordinates of the two points and x2 and x1 represent the x-coordinates of the two points. However, in this particular case, we see that the y-coordinates of both points (-9, -3) and (1, -3) are the same as -3.

This means our 'change in y', or (y2 - y1), is equal to zero (-3 - -3 = 0). Any fraction with 0 as the numerator (0 divided by any number) is itself equal to 0. Therefore, the slope of the line that passes through the points (-9, -3) and (1, -3) is 0.

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Answer: he should deposit $5000

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

I = $160

R = 1.6%

T = 2 years

Therefore,

160 = (P × 1.6 × 2)/100

160 = 0.032P

P = 160/0.032

P = $5000

Answer:

1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+24+13=2x−16

x+ 1 2 + 1 3 =2x+ −1 6

(x)+( 1 2 + 1 3 )=2x+ −1 6 (Combine Like Terms)

x+ 5 6 =2x+ −1 6

x+ 5 6 =2x+ −1 6

Step 2: Subtract 2x from both sides.

x+ 5 6 −2x=2x+ −1 6 −2x

−x+ 5 6 = −1 6

Step 3: Subtract 5/6 from both sides.

−x+ 5 6 − 5 6 = −1 6 − 5 6

−x=−1

Step 4: Divide both sides by -1.

−x −1 = −1 −1

x=1

Answer:

The answer to your question is x = 1

Step-by-step explanation:

Data

Equation                                        x + 2/4 + 1/3 = 2x - 1/6

-Subtract 2x in both sides           x + 2/4 + 1/3 -2x = 2x - 2x -1/6

-Simplify                                        - x + 2/4 + 1/3 = -1/6

-Subtract 2/4 and 1/3 in both sides -x + 2/4 - 2/4 + 1/3 - 1/3 = -1/6 - 2/4 - 1/3

-Simplify                                         -x = -1/6 - 2/4 - 1/3

                                                      -x = (-2 - 6 - 4)/12

                                                     -x = -12/12

                                                     -x = -1

-Result                                           x = 1

To find measure of angle BAC in a right triangle, we can use the trigonometric functions cos⁻¹(6.9/12), sin⁻¹(6.9/12), and tan⁻¹(6.9/9.8), corresponding to the sides AC and CB with respect to the hypotenuse AB.

To find the measure of angle BAC in triangle ABC where angle ACB is a right angle, we can use the trigonometric ratios involving the sides of the triangle. Given that AB is the hypotenuse, CB is the adjacent side to angle BAC, and AC is the opposite side to angle BAC, we can use the following expressions:

Using any of these trigonometric functions, we can calculate the measure of angle BAC by inputting the ratios into a calculator that has the capability to compute the inverse trigonometric functions.

Answer:

252/6=42

Step-by-step explanation:

BRAINLIEST PLZ

Answer:

The length of the wall that the plaques will cover is 42 feet long.

Step-by-step explanation:

Wall is rectangular in shape

So Area = length × width

252 = 6 × length

length = 252/6

length = 42

Answer:124

Step-by-step explanation:

12400/100=124

To stock 12,400 books with each bookshelf holding 100 books, 124 bookshelves are required.

To determine how many bookshelves are needed for 12,400 books, where each shelf holds 100 books, we perform a simple division:

Number of bookshelves = Total number of books ÷ Books per bookshelf

Number of bookshelves = 12,400 books ÷ 100 books per shelf

Number of bookshelves = 124 shelves

Therefore, 124 bookshelves are needed to stock 12,400 books.

Answer:

The volume of the cylinder is 62.8 cubic units.

Step-by-step explanation:

The volume of a cylinder is given by the following formula:

volume = (base area)*h

base area = pi*r²

volume = pi*r²*h

In order to solve this problem we need to apply the data given to the formula above as shown below:

volume = 3.14*(2)²*5 = 3.14*4*5

volume = 62.8 cubic units

The volume of the cylinder is 62.8 cubic units.

Answer:

The correct answer is option (b) 62.8 cubic units

Step-by-step explanation:

Solution

Recall that,

A right cylinder has a radius of = 2 units

Height of  = 5 units

Now,

We define the volume of a cylinder, which is represented below.

Recall that,

A right cylinder has a radius of = 2 units

Height of  = 5 units

Now,

We define the volume of a cylinder, which is represented below.

Volume of the cylinder is defined as  = base * height

The base=Pi*radius*radius,  or π* r

Where,

The base=3.1416*2*2,

The height=5

Thus,

The Volume=3.1416*2*2*5

Volume =62.8 cubic units.

Therefore the volume of the cylinder is 62.8 cubic units.of the cylinder is = base * height

The base=Pi*radius*radius,  or π* r

Where,

The base=3.1416*2*2 ,

The  height=5

Thus,

The Volume=3.1416*2*2*5

Volume =62.8 cubic units.

Therefore the volume of the cylinder is 62.8 cubic units.

Answer:

75 square units

Step-by-step explanation:

The area of the trapezoid is 75 sq.units.

A quadrilateral is a polygon with four sides.

It is of various types,

Trapezoid, which have one pair of parallel sides,

Parallelogram, it has two pairs of parallel sides,

Rhombus, it has all sides equal,

Rectangle, opposite sides are parallel and equal, and,

Square, all sides are equal and opposite sides are parallel, and all angles have measure of 90 degree.

The quadrilateral ABCD with lengths of three of its sides is 16, 6, and 14.

The height of the quadrilateral is 5.

The area of the quadrilateral has been asked to determine using the formula,

A = (1/2) h ( b1 + b2)

The parallel sides are 14 and 16, so b1 = 14 and b2 = 16, h = 5

The area is determined using the formula

A = (1/2) * 5 * ( 14+16)

A =  (1/2) * 5 * ( 30 )

A = 75 sq.units

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Answer:

y = a(x - h)^2 + k (please give branliest)

Step-by-step explanation:

(h,k) are coordinates of a point on the parabola

this is derived by ax^2 + bx + c

The formula to find the vertex of a parabola is x = -b/(2a) and y = f(x). The vertex of a parabola is represented by the coordinates (x, y).

The formula to find the vertex of a parabola is x = -b/(2a) and y = f(x). In the equation of a parabola y = ax² + bx + c, the vertex can be found by substituting the x-coordinate from the formula into the equation to get the y-coordinate. So, the vertex of a parabola is represented by the coordinates (x, y).

The initial amount of slushy in the cup is 600 mm.

A linear equation has the following form:

y = mx + b

where y and x are variables, m represents the rate of change, and b represents the initial value of y.

Let y be the amount of slushy remaining in the cup (in milliliters) and x the time (in seconds).

The y intercept on the graph is 600.

As a result, the initial amount of slushy in the cup is 600 mm.

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The following question may be like this:

Sean drank a slushy as fast as he could.

The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed. How much slushy was initially in the cup? ​

Answer:

One-half (3) (12) (one-third)

Step-by-step explanation:

Area of a triangle bus expressed as shown.

Area of a triangle = 1/2bh

B is the base

H is the height

Given base = 12 1/3xm

Height =3cm

Area =>1/2 (3) 12(1/3)

Area = One-half (3) (12) (one-third)

Answer:

One-half (12 and one-third) (3) option D/ the last one

Step-by-step explanation:

I took it and got it right on e2020

10^3 x 10^9 = 10^12

Step-by-step explanation:

Given that,

10^3 x 10^9

The bases of the 2 terms are same (10) and the power of the terms are 3 and 9

As the base of the 2 terms are same and the bases are in multiplication form we can add up the powers.

So,

10^3 x 10^9 = 10^(3+9)

= 10^12

Answer:

you have to put the pie chart to get an answer

Step-by-step explanation:

Answer:

209

Step-by-step explanation:

837-628

Answer:

Step-by-step explanation:

BACD

Final answer:

The numbers from least to greatest are 2.62 (262%), 2.6 (2 3/5), and 26.2.

Explanation:

To arrange the numbers 26.2, 262%, and 2 3/5 from least to greatest in all decimal or percent forms, we need to convert them into the same form.

First, we know that 262% as a decimal is 2.62. The mixed number 2 3/5 can be converted to a decimal by dividing the numerator by the denominator and adding it to the whole number, resulting in 2 + 0.6 = 2.6.

Now we have the numbers in decimal form: 26.2, 2.62, and 2.6.

To order them from least to greatest:

When converting back to percent form, remember to multiply by 100. Thus, 2.62 is already given as 262%, and 2.6 becomes 260%.

Answer:

Step-by-step explanation:

Probability is basically the chance of something happening.

For example:

If you flip a coin there is a 1/2 chance to get heads and a 1/2 chance to get tails. If you were asked to find the probability of getting 3 tails in a row, you would multiply the fraction 1/2 3 times. Thus giving you 1/8.

Final answer:

Probability is the chance of an event occurring, calculated by dividing the number of ways an event can occur by the total number of possible outcomes. Karl Pearson's coin toss experiment demonstrates the law of large numbers, where the outcome over many trials approaches theoretical probability. To solve probability problems, understanding the question and systematically applying probability rules is essential.

Explanation:

Probability is a concept in mathematics that measures the likelihood of an event happening. It is calculated by dividing the number of ways an event can occur by the total number of possible outcomes. For example, when flipping a coin, there are two possible outcomes: heads or tails. Since these outcomes are equally likely, the probability of getting heads is 1 divided by 2, or 50%. This is known as theoretical probability.

Karl Pearson's experiment, where he flipped a coin 24,000 times, illustrates the law of large numbers, showing that the more times a random event is repeated, the closer the experimental results will come to the expected theoretical probability. In Pearson's case, he got heads 12,012 times, which is very close to the expected 50%, demonstrating that the probability predicts the outcome over a large number of trials, even though individual results may vary.

The relative frequency of an event is calculated by dividing the number of times the event occurs by the total number of trials. The example of Pearson's coin toss shows that the relative frequency (.5005) closely aligns with the theoretical probability (.5) when a large number of trials are conducted.

Systematic approaches to solving probability problems often involve reading the problem carefully, understanding the terminology, and using a clear process to calculate the probability. This could include determining the sample space, identifying the desired event, and calculating conditional probabilities if necessary.

To carry out probability calculations, it is essential to be able to express both the certainty and the variability of outcomes. In the case of rolling a die, while we may not predict with certainty which number will appear on any single roll, over a large number of rolls, the probability of rolling any given number, such as a three, is 1/6.

Answer:

2 hours

Step-by-step explanation:

According to the information provided you can say that for company A, the total cost is equal to 90 for the number of hours plus the 50 fee. For company B, the total cost is equal to 70 for the number of hours plus 90.

90x+50= 70x+90

x= number of rental hours

Then, you have solve for x:

90x-70x=90-50

20x=40

x=40/20

x= 2

The cost for both companies is the same for 2 rental hours.

Answer:

h = 2 hrs

Step-by-step explanation:

Mr Clark needed to rent a moving Van.

Company A charges

cost = 50 + 90(h)

where

h = number of hours used

Company B charges

cost = 90 + 70(h)

where

h = number of hour used

The number of rental hours when both companies cost is same is when both the cost equation is equal to each other.

Therefore,

50 + 90(h) = 90 + 70(h)

50 - 90 = 70h - 90h

-40 = -20h

divide both sides by -20

h = -40/-20

h = 2 hrs

Answer: The probability that she would choose cake is 0.33 (or 33%)

Step-by-step explanation: The number of all possible outcomes is given as follows;

4 (ice cream) + 3(cake) + 2(pie), that is 4 + 3 + 2 = 9  

This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.

However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.

Therefore the probability that she will choose a cake is give as,

P(Cake) = Number of required outcomes/Number of all possible outcomes

P(Cake) = 3/9

P(Cake) = 1/3 or 0.33

Therefore the probability that she would choose cake is 0.33 or 33%

Answer:

The correct option is;

C 90°

Step-by-step explanation:

Here we have;

Angle V = 90°

Whereby, YX and WX are tangents, and YV and WV are radii then ;

Angle Y = 90° and

Angle  W = 90°

Therefore we have sum of angles V, Y, W and X given by the following relation;

V + Y + W + X = 360° (Sum of interior angles of a polygon angle)

Therefore;

90° + 90° + 90° + X = 360°

270° + X = 360

X = 360° - 270° = 90°

Hence the correct option is X = 90°.

Answer:

Correct answer is C

Answer:

14.14 inches squared

Step-by-step explanation:

We basically just want to find the area of one slice of pizza.

We know that the whole pizza was 12 inches across, which means its diameter was 12. Radius is 1/2 of the diameter, so r = 12/2 = 6 inches.

The area of a circle (the pizza, I assume, was circular) is: [tex]A=\pi r^2[/tex], where r is the radius. Here, r = 6, so:

[tex]A=\pi r^2[/tex]

[tex]A=\pi *6^2=36\pi[/tex]

But this is the area of the entire pizza. We need to divide it by 8:

[tex]36\pi /8[/tex] ≈ 14.14 inches squared

Hope this helps!

Answer:

14.13 in²

Step-by-step explanation:

Diameter: 12 inches

Radius: 12/2 = 6 inches

Area of the entire pizza:

pi × r²

3.15 × 6²

113.04 in²

Area of each slice:

113.04/8

14.13 in²

Answer:

7/13

Step-by-step explanation:

To determine which answer choice is closest to 1/2, we can subtract 1/2 from each answer choice. The difference that is closest to zero will indicate the fraction that is closest to 1/2. Since 1/26 is closest to zero, 7/13 is closest to 1/2.

Answer:

4/2

THATS ITTT

Complete Question

Imagine a large Source [tex](S_o)[/tex] population of 500  files at a particular time we will call [tex]T_s[/tex].The files have brown ebony bodies. Suppose that 200 flies are ee, 150 flies are Ee, and 150 flies are EE. calculate the frequencies of the 3 genotypes for this population. do not leave your answers as fractions!

Answer:

The frequency of  genotype ee is  [tex]f_{ee}= 0.4[/tex]

The frequency of  genotype Ee is [tex]f_{Ee} = 0.3[/tex]

The frequency of  genotype EE is [tex]f_{EE} = 0.3[/tex]

Step-by-step explanation:

From the question we are told that

   The number of files with genotype ee is [tex]ee = 200[/tex]

    The number of files with genotype Ee is [tex]Ee = 150[/tex]

    The number of files with genotype  [tex]EE[/tex] is [tex]EE = 150[/tex]

The frequency of  genotype ee is mathematically evaluated as

      [tex]f_{ee} = \frac{200}{500}[/tex]

      [tex]f_{ee}= 0.4[/tex]

The frequency of  genotype Ee is mathematically evaluated as

      [tex]f_{Ee} = \frac{150}{500}[/tex]

      [tex]f_{Ee} = 0.3[/tex]

The frequency of  genotype EE is mathematically evaluated as

      [tex]f_{EE} = \frac{150}{500}[/tex]

      [tex]f_{EE} = 0.3[/tex]

Graph of the function h(x)= 6(4/3)ˣ will be a positive exponential.

A mathematical function with the formula f (x) = eˣ is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, which equates to about, is the exponential-function basis that is most frequently encountered.

One of the key mathematical operations is the exponential function (though it would have to admit that the linear function ranks even higher in importance). We allow the exponent to be the independent variable to create an exponential function.

The exponential function increases quickly, as shown in the graph of f above. The simplest kinds of dynamical systems have solutions in the form of exponential functions. For instance, straightforward models of bacterial development produce an exponential function.

Growth or decay can both be described by an exponential function. The function h(x)= 6(4/3)ˣ

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Answer:

40 percent off

Step-by-step explanation:

40 percent off 80.00 is 48.00

Answer:

$7,200

Step-by-step explanation:

r=p × n

where

r=revenue

p = price per item

n = number of items sold

A change in price changes quantity ( number sold)

Variable x changes with price, then

Let

p+x=a dollar price increase

p-x= a dollar price decrease

n+x= an increase in quantity sold

n-x= a decrease in quantity sold

Therefore,

A $2 dollar increase in price=p+2x

2 decrease in room quantity sold= n-2x

Substituting in the above equation

r=(p+2x)*(n-2x)

P=$60

n=180

Then

r=(60+2x)*(180-2x)

r=10,800-120x+360x-4x^2

r=-4x^2-240x+10,800

Solve the quadratic equation

The maximum value of x in the vertex = - b/2*a

Where

b=240

a=-4

Value of x=-240/2*(-4)

X=30

r=-4x^2-240x+10,800

=-4(30)^2-240(30)+10,800

=-4(900)-7200+10,800

=3,600-7200+10800

=$7,200

The rate that maximises revenue=$7,200

Answer:

The rate that maximizes revenue is $14,000

Step-by-step explanation:

First of all, you should know that the income equation is:

R = p * n

where:

On the other hand, if p + x means a price increase, while n - x means a decrease in the number of an item sold.

In this case, reference is made to rooms, where 60 + 2x is the increased price and 180-2x is the decrease in rooms for rent.

So:

R=(60+2x)*(180-2x)

Expressing this in another way, applying distributive property:

R=60*180+60*(-2)x+2x*180+2x*(-2)x

R=10,800+240x-4x² equation (A)

This is a quadratic equation that is graphically represented by a parabola. If a, the coefficient that accompanies the term x², has a positive value, the parabola will be oriented upwards. On the contrary, if a has a negative value, the parabola will be oriented downwards. In this case, the value of a is -4, with the parabola facing down. The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. In this case, since the parabola faces downward, the vertex will be its maximum value.

The value of x in the vertex is [tex]-\frac{b}{2*a}[/tex]. In this case:

Replacing:

[tex]x=-\frac{240}{2*(-4)}[/tex]

Solving:

x=40

To find the rate that maximizes income you simply replace this value in equation (A)

R=10,800+240*40-4*(40)²

R=14,000

The rate that maximizes revenue is $14,000

Answer:

1 hour 20 minutes

Step-by-step explanation:

The play started at 2:35 PM.

After the play, Jamie talked to her friend for 15 mins and then left the theater at 4:10 PM.

She started talking to her friend once the play was over, hence, to find the time she started talking, we subtract 15 mins from 4:10 PM:

  H     M

  04 : 10

-  00 : 15

  03 : 55

She started talking around 3:55 PM.

Hence, to find how long the play lasted:

   H    M

  03 : 55

- 02 : 35

  01 : 20

Hence, the play lasted for 1 hour 20 minutes.

Answer:

lol i need

Step-by-step explanation:

ez calps plue

Answer:

14/27

Step-by-step explanation:

let me know if this is right