1. Tyra bought a lolli-pop with a diameter of 2 inches. What is the circumference of the lolli-pop to the nearest tenth of an inch? A. 3.9 inches B. 15.7 inches C. 6.3 inches D. 7.9 inches

Answer:

The probability that between 6 to 10 pairs of New Balance shoes will be sold next week is \(\frac{3}{25}\) .

Step-by-step explanation:

We are given the following data that show the number of pairs of men's New Balance sneakers that were sold over the last 25 weeks at a discount shoe store below;

1, 4, 6, 6, 8,  8, 9, 11, 11, 11 , 12, 12, 14, 14, 14,  15, 17, 17, 17, 19,  19, 20, 21, 24, 24.

Now, preparing the relative frequency distribution for this data;

  No. of pairs of men's               Frequency (f)           Relative frequency

New Balance sneakers (X)

                 1                                          1                                   1

                4                                          1                                   2

                6                                          2                                  4

                8                                          2                                  6

                9                                          1                                   7

                11                                          3                                 10

                12                                         2                                 12

                14                                         3                                 15

                15                                         1                                  16

                17                                         3                                  19

                19                                         2                                 21

               20                                        1                                  22

                21                                         1                                  23

                24                                        2                                 25

              Total                                   25        

Here the frequency of 2 against 6 represents that 6 is occurring 2 times in our given data.

Now, the probability that between 6 to 10 pairs of New Balance shoes will be sold next week is given by = P(6 < X < 10)

     P(6 < X < 10) = P(X < 10) - P(X \(\leq\) 6)

                          = \(\frac{7}{25} - \frac{4}{25}\) = \(\frac{3}{25}\) .

When CG = 3 in., CH = 2 in. and GE = 5 in. the information made available in the question is not enough to solve for DH

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Examining the figure, shows that lines GH and DE should be parallel to create similar triangles

For similar triangles the sides are proportional and this can be used to solve for DH using the equation below'

CG / CE = CH / CD

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The complete question is attached

Answer:

B. (f - g)(x) = -3x² - x - 4

Step-by-step explanation:

→Set it up like so:

(-4x² - 6x - 1) - (-x² - 5x + 3)

→Distribute the -1 to (-x² - 5x + 3):

-4x² - 6x - 1 + x² + 5x - 3

→Add like terms (-4x² and x², -6x and 5x, -1 and -3):

-3x² - x - 4

Answer:

IJ units

Step-by-step explanation:

What else is there..?

By estimating the angle with quadrants it is within ± 10° it is about 150°.

We have I, II, III, IV quadrants.

In quadrant I the referece angle Ф is Ф.

In quadrant II the referece angle Ф is (π - Ф).

In quadrant III the referece angle Ф is (π + Ф).

In quadrant IV the referece angle Ф is (2π - Ф).

We know each quadrant is of 90°.

By observing the given angle it is in the second quadrant so must be n between 90° and 180°.

Now, half of 90° is 45°.

Therefore, (90 + 45)°.

= 135° which is in between 90° and 180°.

Again observing the angle it is closer to 180° than 90° so we estimate the angle to be about 150°.

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When the domain is substituted, the Range of the function will be

7 ≤ y < ∞

The range of a function is the the spread of minimum value of the function to maximum value. We can find the range by substituting different domains into the function.

Given a function  f(x) = |x| + 7

This |x| show that it is a modulus. That is, the domain will always be positive numerals.

The minimum domain = 0, so the minimum f(x) = 0 + 7 = 7

The maximum domain = ∞, so the maximum f(x) = ∞ + 7 = ∞

y = f(x)

Therefore, the range of of the function f(x) = |x| + 7 will be 7 ≤ y < ∞

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Answer:

BC = 21 cm

Step-by-step explanation:

In similar triangles the corresponding sides are in same proportion.

Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.

      \(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)

     \(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)

9514 1404 393

Answer:

  a. h < 79; w < 295

  b. (h, w) = (60, 280)

  c. yes

Step-by-step explanation:

We can define h and w to represent the height in inches and the weight in pounds. Then the inequalities representing the given restrictions are ...

  h < 79 . . . . . . . . height is less than 6'7"

  w < 295 . . . . . . weight is less than 295 pounds

The graph is attached. The solution space is the area where the solutions to the inequalities overlap.

__

A 5 ft person weighing 280 pounds would meet the given restrictions.

  (h, w) = (60, 280) . . . . is a possible solution

__

  (50, 180) is a solution. The height of 50 inches is less than 79 inches, and the weight of 180 pounds is less than 295 pounds. (A person with these measurements would be quite obese.)

_____

Additional comments

As a practical matter, healthy 18-year-olds will generally have a height greater than 59 inches and a weight greater than 95 pounds. Less than 3% of the population will be shorter or lighter than that.

"Good physical condition" may require a body mass index within a certain range. This will put additional (rather narrow) limits on height and weight. We have only shown inequalities and a graph for the specific conditions listed in the problem statement.

Answer:

73 hot dogs

58 hamburgers

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Answer:

A or Negative one-fourth x = 1

(-1/4x=1)

Step-by-step explanation:

I just took the test

Answer:

a

Step-by-step explanation:

Answer:

32/9 or 3.55555555556

hope this answer helps you!

Answer:

\(\frac{b}{9}\) An algebraic expression is just an equation without an answer

Answer:

he item should be put in the oven at 12:25 (in 24-hour format) to be ready for lunch at 13:00.

Step-by-step explanation:

To calculate what time the item should be put in the oven, you need to work backwards from the desired serving time of 13:00 and subtract the cooking time of 35 minutes. Here's how you can do it:

Convert the serving time to 24-hour format: 13:00 is the same as 1:00 PM in 12-hour format. In 24-hour format, it is 13:00.

Subtract the cooking time: Subtract 35 minutes from the serving time of 13:00 to get the time when the item should be put in the oven.

13:00 - 00:35 = 12:25

So, the item should be put in the oven at 12:25 (in 24-hour format) to be ready for lunch at 13:00.

The equation of a line that passes through the given point (4, 3) and is perpendicular to y = 2x + 2 is given by: y = -x/2 + 5.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

y = mx + c ≡  y = 2x + 2

m₂ = 2

For perpendicularity, we have:

m₁ × m₂ = -1

m₁ × 2 = -1

m₁ = -1/2.

Next, we would use the point-slope form to write the equation of this line at point (4, 3):

y - y₁ = m(x - x₁)

y - 3 = -1/2(x - 4)

y - 3 = -x/2 + 2

y = -x/2 + 2 + 3

y = -x/2 + 5.

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Complete Question:

Write an equation for a line perpendicular to y = 2x + 2 and passing through the point (4, 3).

Answer: (a)

Step-by-step explanation:

Given

The pattern is 2, 4, 16, 256...

From the pattern, we can see that the next term is square of the previous i.e.

\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)

So, for the \(n^{th}\) term, the function is \(f(n)\)

For the next term, it is \(f(n+1)\)

So,

\(\Rightarrow f(n+1)=[f(n)]^2\)

9514 1404 393

Answer:

Step-by-step explanation:

Let L represent the length of the rectangle. Then the width is W=5+3L, and the perimeter is ...

  P = 2(L+W)

  240 = 2(L +(5 +3L))

  120 = 5 +4L

  115 = 4L

  115/4 = L = 28.75 . . . . cm

  W = 5+3L = 5 +3(28.75) = 91.25 . . . . cm

The length and width of the rectangle are 28.75 cm and 91.25 cm.

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Step-by-step explanation:

Given

\(slope(m) = 5\)

y-intercept (c) = 12

Now the equation of the line is

y = mx + c

y = 5x + 12

Hope it will help :)❤

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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I am pretty sure the answer is b. emplyee 2# but im not 100% sure since your graph is really weird and hard to uunderstand

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Answer:

5-4=12x+x

1=13x

1/13=×

well, first off let's get the difference from 66 million to 8000, 66,000,000 - 8000 = 65992000.

Now, if we take the latter number to be the 100%, say if 8000 is 100%, how much is 65992000 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 8000&100\\ 65992000&x \end{array}\implies \cfrac{8000}{65992000}=\cfrac{100}{x}\implies \cfrac{1}{8249}=\cfrac{100}{x} \implies x = 824900\)

or namely 65992000 is 824,900% of 8000.

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Answer:

I think 10 is the answer it's not sure.