Find the area and circumference of the circle. Use 3.14 for A.
4.5 in.
Area______
Circumference____

With the given budget, you can buy 12 movie tickets and 3 restaurant gift cards.

As the person in charge of buying prizes for the game night, your goal is to purchase at least 12 prizes while spending less than $150.

Movie tickets cost $8.50 each, and restaurant gift cards cost $15 each.

To determine how many of each prize you can buy, let's start by considering the cost of movie tickets.

If you buy 12 movie tickets at $8.50 each, the total cost would be 12 * $8.50 = $102.

Next, let's see how many restaurant gift cards you can buy.

Subtracting the cost of the movie tickets from the total budget of $150 gives us $150 - $102 = $48 remaining.

Since each gift card costs $15, you can buy $48 / $15 = 3 gift cards.

Now, let's summarize what you can buy with the given budget.

You can purchase 12 movie tickets at a cost of $102 and 3 restaurant gift cards at a cost of $45.

In total, this would be $102 + $45 = $147.

To double-check, we can verify that the total cost of the prizes is less than $150, which it is.

So, with the given budget, you can buy 12 movie tickets and 3 restaurant gift cards.

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The number of squares will be 25 squares

From the question, the size of the squares should not be a problem hence it is not mentioned.

Continue doing this for 5 times  so that there will be 5 rows with 5 squares on each row

In this case, the number of squares will be 5+5+5+5+5= 25 squares

In conclusion, there will be 25 squares.

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The correct answer is option  A: The random variable is discrete. A decibel is a unit of measure used to quantify the loudness or intensity of sound.

From 0 dB (the quietest level of sound) to 140 dB (the loudest level of sound), it is measured on a logarithmic scale (the highest level of sound).

The decibel level of a siren is normally between 110 and 120 dB, which is regarded to be within or close to the threshold of human hearing.

The decibel level of a siren is measured on a logarithmic scale, making it a discrete variable. This indicates that it is measured in whole numbers rather than fractions of a decibel.

For instance, a siren's decibel level can be 110 dB, 111 dB, 112 dB, etc., but it cannot be 110.5 dB or 111.5 dB. Therefore, the decibel level of a siren is a discrete variable.

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The spreadsheet formulas for the indicated cells are:

The value in C9 can be found by the formula =sum(C:C8) because the values from C2 to C8 were added up.

The formula in D3 converts the value in C3 to percentages. D7 does that for C7.

E4 takes the sum of the number of rooms from C2 to C4 while F5 takes the sum of D2 to D5.

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Answer:

61 miles

does this help??

Step-by-step explanation:

Answer:

standard form

Step-by-step explanation:

Answer:

C is your y intercept 3.99b is your slope

Step-by-step explanation:

Answer:

If 58% of the people surveyed said YES to a YES or NO question, the number of people who said YES is

58/100 * 6700 = 3886.

The number of people who said NO is

6700 - 3886 = 2814.

Answer:

the remainder for both expressions is zero

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0 is 10ths 5 is 100ths

Answer:

hope it helps

Step-by-step explanation:

2x+y=10

x-2y=12

2x+y=10

2x-4y=24

y=-14/5

2x=10+14/5

2x=64/5

x=32/5

Answer:

ok

Step-by-step explanation:

d. -5  .............................................................

The required solution for the given expression is -5.

Given that, using the fraction bars and the rules of dividing signed numbers to divide. Negative StartFraction 15 over 5 EndFraction divided by three-fifths.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
According to the question

= -15/5÷3/5
= -15 / 5 × 5 / 3
= -15 / 3
= -5

Thus, the required solution for the given expression is -5.

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Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Answer: 0.18 (18 cents) per ounce

Step-by-step explanation:

2.88/16 = 0.18

The simplified expression of the given expression F = AB’C + AC’D + AC’D’ + AB is F = AB’C + AC’D + AB’CD + AB’C’D + AB’C’D’.

To simplify the given expression F = AB’C + AC’D + AC’D’ + AB, we can apply Boolean algebra simplification theorems.

1.

Distributive Law (A(B + C) = AB + AC):

Apply the distributive law to the first term:

F = AB’C + AC’D + AC’D’ + AB

= AB’C + AB + AC’D + AC’D’

2.

Complement Law (A + A’ = 1):

Identify terms where a variable and its complement appear:

F = AB’C + AB + AC’D + AC’D’

= AB’C + AB + AC’D + AC’D’ + AB’CD + AB’C’D + AB’C’D’

(Added extra terms by multiplying by 1)

3.

Absorption Law (A + AB = A):

Combine terms where one term is a subset of another term:

F = AB’C + AB + AC’D + AC’D’ + AB’CD + AB’C’D + AB’C’D’

= AB’C + AC’D + AB’CD + AB’C’D + AB’C’D’

(Removed redundant terms AB and AC’D’)

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The median of this set is:

9

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is, because income distribution can be very skewed. The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result.

HAVE A NICE DAY!

Answer:

Step-by-step explanation:

Remark

You always have to put the data in order to answer a question like this one.

6 7 7 8 10 14 15

The median is the middle number. In this case it is 8. There are 3 numbers below 8 and 3 numbers above 8, so 8 is the median.

Answer: 8

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer:

Step-by-step explanation:

Derivation of composite functions concept.

h'(x)=g'(f(x))·f'(x)=(sin(5x))'×(5x)'=cos(5x)×5=5cos(5x)

Using FOIL method for the multiplication, we have:

1: 3x (5x - 4) = 15x² - 12x

2: x²(5x² + 3y + 1) = 5x⁴ + 3x²y + x²

3: (4x + 3)(4x -5)  = 16x² - 8x - 15

4: (7x - 3)(4x - 5) = 28x² - 47x + 15

FOIL is an acronym that stands for "First, Outer, Inner, Last". It is a mnemonic device that is commonly used to remember the process of multiplying two binomials.

No. 1

3x (5x - 4) = 3x*5x + 3x*(-4)

                 = 15x² - 12x

No. 2

x²(5x² + 3y + 1) = x²*5x² + x²*3y + x²*1

                        = 5x⁴ + 3x²y + x²

No. 3

(4x + 3)(4x -5) = 4x(4x-5) + 3(4x-5)

                    = 4x*4x + 4x*(-5) + 3*4x + 3*(-5)

                    = 16x² - 20x + 12x - 15

                    = 16x² - 8x - 15

No. 4

(7x - 3)(4x - 5) = 7x(4x - 5) - 3(4x - 5)

                      = 7x*4x  + 7x*(-5) - 3*4x - 3*(-5)

                      = 28x² - 35x -12x + 15

                      = 28x² - 47x + 15

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Answer: C

Step-by-step explanation:

For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.

TOA refers to opposite over adjacent, which would be

tan x = 10/18.

Hope this helps!

The roots are (x + 1), (x - 4), (2 + 5i), and (2 - 5i).

g(x) = (x2 - 3x - 4)(x2 - 4x + 29)

Let us first consider x^2 - 3x - 4

By splitting the middle term

= x^2 + 1x - 4x - 4

= x(x + 1) - 4(x + 1)

= (x + 1)(x - 4)

Now let us consider x^2 - 4x + 29

First group the terms with variable on LHS and move the constant on the other side

x^2 - 4x = -29

Add 4 on both sides

x^2 - 4x + 4 = -29 + 4

x^2 - 4x + 4 = -25

It can be written as perfect squares

(x - 2)^2 = -25

We know that

i =√1

Take square root on both sides

x - 2 = ± 5i

x = 2 ± 5i

So we get,

x = 2 + 5i and x = 2 - 5i

g(x) = (x + 1)(x - 4)(2 + 5i)(2 - 5i)

A square root of a number is a price that, whilst extended by means of itself, offers variety. instance: four × four = 16, so a square root of 16 is four. The word that (−four) × (−four) = 16 too, so −four is likewise a square root of sixteen. The symbol is √ usually way the wonderful rectangular root. example: √36 = 6 (because 6 x 6 = 36).

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1. 4

2.2

3.0,5

IT IS SAYING TO WORK OUT WHAT THAT LINE REPRESENTS

Answer: help me pleaz

Step-by-step explanation:

Answer:

\( x=12\sqrt 2\)

x = 100

Step-by-step explanation:

\( \sin \: 45 \degree = \frac{12}{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{12}{x} \\ \\ \huge \red{ x = 12 \sqrt{2} } \\ \\ \\ \sin \: 45 \degree = \frac{x}{100 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{100 \sqrt{2} } \\ \\ x = \frac{100 \sqrt{2} }{ \sqrt{2} } \\ \\ \huge \purple{ x = 100 } \)

The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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The focal length of the lens is -15 cm. The negative sign indicates that the lens is a diverging lens.

To find the focal length of the lens, we can use the lens formula:

1/f = 1/v - 1/u

where f is the focal length of the lens, v is the image distance, and u is the object distance.

Given:

Object height (h_o) = 1.00 cm

Object distance (u) = 12 cm

Image height (h_i) = 5.00 cm

We can use the magnification formula to relate the object and image heights:

Magnification (m) = h_i / h_o

Given:

m = h_i / h_o = 5.00 cm / 1.00 cm = 5.00

Now, let's substitute the values into the lens formula:

1/f = 1/v - 1/u

Since the image is upright, the image distance (v) will be positive.

1/f = 1/v - 1/u

1/f = 1/v - 1/12

To find the value of v, we can use the magnification formula:

m = v / u

5.00 = v / 12

v = 5.00 * 12

v = 60 cm

Now, substitute the values of v and u into the lens formula:

1/f = 1/60 - 1/12

Simplifying:

1/f = (1 - 5) / 60

1/f = -4/60

1/f = -1/15

Taking the reciprocal of both sides:

f = -15 cm

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Answer:

14.5 exactly but 15 full weeks

Step-by-step explanation:

200-55=145

145/10=14.5

Round up to 15

Answer:

54$

Step-by-step explanation:

i took the test

Answer:

402 cows per farm

Step-by-step explanation:

12060/30

=402

Answer:

5.1

Step-by-step explanation:

11.5 + 5.6 + 8.8 = 29.5

31 - 29.5 = 5.1