The volume of a pool should be measured using which of the following units?
cubic yards
cubic feet
square feet
gallons

Answer:

$2005296.14

Step-by-step explanation:

(3250)(1+.055)^120=2005296.1362 rounded to the nearest penny =$2005296.14

Step-by-step explanation:

Correct, the dilation is an enlargement .

the base '4'  becomes  '6'     a factor of 1.5       ( because 1.5 * 4 = 6)

a) The sample in this scenario is 60 families from each school in the district.

b) The population is the total number of families in the school district.

The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.

The sample of families surveyed = 60 families from each school in the district

The population = the number of families in the school district

The percentage of families surveyed who need bus transportation = 65%

The percentage of families surveyed who would walk to school = 15%

The percentage of families surveyed who would use own transportation = 18%

The percentage of non-respondents = 2%

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Answer:

An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5

Step-by-step explanation:

Start at 0 and move 3 units to the left since it is negative

Move 1.5 units to the left since we are subtracting

We end up at - 4.5

Answer:

An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5

Step-by-step explanation:

-3 is also 0-3

arrow goes from 0 to -3 backwards.

arrow goes from -3 to -4.5 because -3-1.5=-4.5

Answer:

99.5

Step-by-step explanation:

Radius = Diameter/2

199/9

=99.5metres

Answer:

the class has 12 girls and 16 boys what is the ratio of the total students to boys in simplest form

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

Answer:

Step-by-step explanation:

f(x) = x²

f(4) = 4² = 16

f(1) = 1² = 1

f(-3) = -3² = 9

f(t) = t²

Always wise to us the ^ symbol to represent powers to avoid confusion

4^2 = 4² = 16

-3^2 = 9

t^2

if you are on a PC, the square symbol (²) can be typed by holding down the "alt" key while pressing and releasing "2","5","3" on the keypad, then release "alt". Unfortunately this does not work if you only have the row of numbers on the keyBoard to work with.

The partial product method involves multiplying each digit of one number in turn with each digit of another where each digit keeps its place. (So ​​the 2 in 23 would actually be 20.) For example, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).

Answer:

X    |   y

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

-2   |   3

-1   |   0

0   |  -3

1   |  -6

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

The correct answer is (b) 7.

Degrees of freedom (df) refers to the number of independent pieces of information available to estimate a statistic. In the context of hypothesis testing, degrees of freedom are used to determine the appropriate distribution to use for calculating the test statistic and the critical values.

In a t-test, the degrees of freedom are typically calculated as n-1, where n is the sample size. The degrees of freedom associated with a test depends on the specific design of the study and the type of analysis being performed.

The appropriate test to use in this situation is a paired t-test. Since there are 8 leaves, there are 8 pairs of observations, so the degrees of freedom for the t-test is n-1 = 8-1 = 7.

Therefore, the correct answer is (b) 7.

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The point is (1, 3) means that the cost of parking for 1 hour is $3

From the question, we have the following parameters that can be used in our computation:

Relation = Amount of time a car is parked in hours vs the total cost of parking in dollars

This means that

The total cost of parking in dollars is a function of the amount of time a car is parked in hours

Given that

The number of cups is a function of the height of the stack

We have

Rate = $3 per hour

Maximum = $12

So, we have

f(x) = 3x {0 <= x <= 4}

See attachment for the graph

f(x) = 3x

Let x  = 1

So, we have

f(1) = 3 * 1

This gives

f(1) = 3

This means that the point is (1, 3) and it means that the cost of parking for 1 hour is $3

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Answer:

the answer is c

Step-by-step explanation:

Answer:its c i believe

Step-by-step explanation:

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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Using the least common factor, it is found that she will do all the three activities again on the same day again in 48 days.

To find how many days it takes so that she will do all the three activities again on the same days, we have to find the least common factor of 4, 6 and 16.

It is done factoring them using prime factors, then:

4 - 6 - 16|2

2 - 3 - 8|2

1 - 3 - 4|2

1 - 3 - 2|2

1 - 3 - 1|3

1 - 1 - 1

Hence:

lcm(4,6,8) = 2x2x2x2x3 = 48

She will do all the three activities again on the same day again in 48 days.

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Answer:

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

Step-by-step explanation:

Start with the equation of the given line: y = 4x + 7.

Determine the slope of the given line, which is 4.

Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.

Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).

Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.

Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.

Simplify further: y = (-1/4)x + 5/2.

The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.

Answer:

y = 2x

Step-by-step explanation:

the answer is rise over run, the rise is 4 the run is 2 4/2 is 2. Slope is 2. Y intercept is zero. y = 2x

Answer:

Measure of angle 2 = 82°

Step-by-step explanation:

m∠1 = (10 x + 8)°

m∠3 = (12 x - 10)°

2 lines are said to intersect to form 4 angles. And the labelling of the angles was done starting from top left, clockwise: the angles are 1, 2, 3, 4.

Find attached the diagram obtained from the given information.

Vertical angles are angles opposite each other when two lines intersect. As such, they are equal to each other.

Considering our diagram

m∠1 = m∠3

m∠2 = m∠4

Sum of all four angles firmed = 360° (sum of angles at a point)

m∠1 +m∠2 + m∠3 + m∠4 = 360°

m∠1 = m∠3

(10 x + 8)°= (12 x - 10)°

10x-12x = -10-8

-2x = -18

x= 9°

Also m∠2 = m∠4, let each equal to y

(10 x + 8)°+ y + (12 x - 10)° + y = 360

10x + 12x - 10 +8 +2y = 360

Insert value of x

22(9) -2 + 2y = 360

2y = 360-196

2y = 164

y = 82°

m∠2 = m∠4 = y = 82°

Measure of angle 2 = 82°

Answer:

2 = 82°

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

Loan amount (P): $75,500

Annual Percentage Rate (APR): 7.9%

Loan term (n): 72 months

Monthly interest rate = APR / 12 = 7.9% / 12 = 0.0079

M = P * (r * (1+r)^n) / ((1+r)^n - 1)

M = 75500 * (0.0079 * (1+0.0079)^72) / ((1+0.0079)^72 - 1)

$1,217.17

Answer:

The mean is  \(\= x  = 79.7 \)

The standard deviation  \(\sigma =7.81\)

Step-by-step explanation:

From the question we are told that

  The data given is  

Temperature                Lower Limit           Upper Limit               Days

50-59                               50                             59                          2

60-69                                 60                            69                        313

70-79                                  70                           79                          1419

80-89                                   80                          89                         1503

90-99                                   90                          99                          319

100-109                                100                         109                         9        

Generally the average of each limit is evaluated as

Temperature    Lower Limit   Upper Limit         Average\((x_i)\)                    Days\((f_i)\)

50-59                 50                   59              ( 50 + 59 )/2 =54.5                 2

60-69                 60                   69              (60+69)/2 = 64.5                    313

70-79                 70                    79               (70+79)/2 =74.5                    1419

80-89                 80                   89                (80+89)/2 =84.5                  1503

90-99                 90                   99                 (90+99)/2 = 94.5                319

100-109             100                  109                 (100+109)/2 = 104.5            9  

Generally the mean is  evaluated as

     \(\mu  =  \frac{\sum x_i f_i}{\sum f_i}\)

=>  \(\mu  =  \frac{ (54.5 * 2) + (64.5 * 313) +\cdots +(104.5 *  9)}{2 + 313 +\cdots + 9}\)

=> \(\= x  = 79.7 \)

Generally the standard deviation  is  evaluated as

    \(\sigma = \sqrt{ \frac{\sum[ f_i * ( x_i^2 - \= x^2)] }{\sum f_i}}\)

=>   \(\sigma =\sqrt{ \frac{[2 * [(54.5)^2) - 79.7^2 ]]+[313 *[ (64.5)^2)-79.7^2] +\cdots +[9 *[ (104.5)^2)- 79.7^2]  }{2 + 313 +\cdots + 9}}\)

=>  \(\sigma =7.81\)

The mean and Standard deviation for the given data would be as follows:

μ \(= 79.7\)

б \(= 7.81\)

Given that,

Temperature       Lower Limit           Upper Limit             Days(\(f_{i}\))

50-59                       50                           59                          2

60-69                       60                           69                         313

70-79                         70                           79                          1419

80-89                        80                          89                          1503

90-99                        90                          99                           319

100-109                    100                         109                            9  

Average(\(x_{i}\))    

\(( 50 + 59 )/2 =54.5\)

\((60+69)/2 = 64.5\)

\((70+79)/2 =74.5\)

\((80+89)/2 =84.5\)

\((90+99)/2 = 94.5\)

\((100+109)/2 = 104.5\)

As we know,

Mean (μ) \(=\) ∑\((x_{i} f_{i}) /\)∑\(f_{i}\)

\(= [(54.5\) × \(2) + (64.5\) ×\(313)+....(104.5\)× \(9)]\)\(/(2 + 313 + 1419 + ....9)\)

∵ μ \(= 79.7\)

As we know,

Standard Deviation:-

\(\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{f_{i} }}}\)

by putting the values, we get

∵ б \(= 7.81\)

Thus, μ \(= 79.7\) and б \(= 7.81\) are the correct answers.

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Answer:

\(44 + 104 + (18 + 7x) = 180 \\ 7x = 180 - 44 - 104 - 18 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2\)

THE REASON IS THE SUM OF ANGLES OF A TRIANGLE IS 180°

HOPE THIS HELPS!

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Step-by-step

The wheelchair access ramp must be 216.09 inches long.

To find the length of the wheelchair access ramp, we can use trigonometry.

The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).

Let's denote the length of the ramp as "x".

The height of the ramp is given as 18 inches.

Using the tangent function:

tan(angle of elevation) = height/length of the ramp

tan(4.8 degrees) = 18/x

To solve for x, we can rearrange the equation:

x = 18 / tan(4.8 degrees)

Using a calculator to evaluate the tangent of 4.8 degrees:

x = 18 / 0.08331

x= 216.09

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C)

We were given that the line of best fit is:

The equation of a straight line is given by the expression:

When we compare the equation of the line of best fit with the equation of a straight line, we have:

The slope being -0.0001 implies that as the years go by, the winning time keeps reducing at an average rate of 0.0001 seconds per year

D)

Based on the line of best fit, the value of ''r'' (regression coefficient) is close to zero.

A regression coefficient close to zero indicates a weak or no association between the variables

E)

Assuming we choose a value of interest for the years, we have:

Predicting using the line of best fit;

in the year 2010, the winning time was 5:34:05 seconds

in the year 2005, the winning time was 5:35:14 seconds