Find the volume of a right rectangular prism that has a base area of 82 square inches and a height of 6. 5 inches

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

From the question;

1) The net force is 10 N

2) The direction  is to the left

3) The acceleration is  0.5\(m/s^2\)

The acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass, according to Newton's second law of motion.

The Net force = \(F_{2} - F_{1}\)

= 30 N - 20 N

= 10 N

The acceleration is obtained from;

F = ma

F = 10 N

m = 20 Kg

a = F/m

a = 10 N/20 Kg

a = 0.5\(m/s^2\)

The acceleration of the object is 0.5\(m/s^2\).

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In the table that shows the length, in inches, of fish in a pond, there are no outlier.

we know, a value that differs significantly from the other values in a dataset is an outlier in mathematics. Measurement errors, data entry errors, or extreme results that are actually outliers from the majority of the data can all lead to outliers.

Here according to question,

A box-and-whisker plot, which depicts the distribution of a dataset by presenting the minimum, first quartile, median, third quartile, and maximum values, is one method for identifying outliers.

Thus, there are no outlier.

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The total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d. To calculate the total amount to be paid, we need to consider the compounded interest on the borrowed amount.

The nominal interest rate of 12% compounded quarterly means that interest is added to the principal four times a year. Using the formula for compound interest, we can calculate the future value of the loan. The formula is given as:

Future Value = Principal * (1 + (Nominal Interest Rate / Number of Compounding Periods))^Number of Compounding Periods * Number of Years

In this case, the principal is $7,500, the nominal interest rate is 12% (or 0.12), the number of compounding periods per year is 4 (quarterly), and the number of years is 10.

Plugging in these values into the formula, we get:

Future Value = $7,500 * (1 + (0.12 / 4))^(4 * 10) = $24,465

Therefore, the total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d.

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Answer:

4 miles

Step-by-step explanation:

Given that:

Charges for the first \(\frac{1}2\) mile = $3.50

Tip given to driver = $4

Charges for additional 0.1 mile = $0.50

Total money available = $25

To find:

Total number of miles that a person can ride?

Solution:

Let us have a look at the money left after charges for the first \(\frac{1}{2}\) mile and tip.

\(\Rightarrow \$3.50 + \$4 = \$7.50\)

Money left = $25 - $7.50 = $17.50

$0.50 is required for the distance = 0.1 mile

$1 is required for the distance = 0.2 miles

$17.50 is required for the distance = 0.2 \(\times\) $17.50 = 3.5 miles

Total distance traveled = First half mile + Distance traveled with the amount of money remaining as calculated above. = 0.5 + 3.5 = 4 miles

Answer:

7 : 8

Step-by-step explanation:

70 : 80 divided by 2 =

35 : 40 divided by 5 =

7 : 8

OR

70 : 80 divided by 10 =

7 : 8

\(

70:80 \\ = 78\)

Answer:

k = 5

Step-by-step explanation:

substitute the values of x into 3x + k and equate with the corresponding value, that is

x = 1

3(1) + k = 8

3 + k = 8 ( subtract 3 from both sides )

k = 5

x = 3

3(3) + k = 14

9 + k = 14 ( subtract 9 from both sides )

k = 5

x = 5

3(5) + k = 20

15 + k = 20 ( subtract 15 from both sides )

k = 5

the value of k is therefore 5

-Recall that the statement:

The quotient of a and b,

in algebraic notation is:

-Therefore, the expression:

as a statement is:

The quotient of x+3 and x²-4.

Answer: Option A.

Answer:

11 25/64

Step-by-step explanation:

you do 2 1/4 times itself 3 times.

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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Answer:

Step-by-step explanation:

Take any two pairs of coordinates to find the slope.

The forumla for slope is (y2-y1)/(x2-x1)

Wil will choose the points (2,10) and (4,20)

Therefore:

m = (20-10)/(4-2)

m = 5

Step-by-step explanation:

Length of the rectangle = 6.5 m

Width of the rectangule = 7.3 m

First case,

Area of the rectangle

= length × width

= 6.5 m × 7.3 m

= 47.45 sq.m (Ans)(i)

Second case,

Perimeter of the rectangle

= 2(length + width)

= 2(6.5 + 7.3)m

= 2 × 13.8 m

= 27.6 m (Ans)(ii)

The image of the line v = 4u under G is given by the equation y = 2.5u + 120 in slope-intercept form.

To obtain the image of the line v = 4u under the map G(u, v) = (2u + 0.5u + 120), we need to substitute the expression for v in terms of u into the equation of G.

We have; v = 4u, we substitute this into G(u, v):

G(u, 4u) = (2u + 0.5u + 120)

Now, simplify the expression:

G(u, 4u) = (2.5u + 120)

The resulting expression is (2.5u + 120) for the image of the line v = 4u under G.

To express this in slope-intercept form (y = mx + b), we can rewrite it as:

y = 2.5u + 120

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Answer:

i don't knoe if we can do it without the graph

Answer:

$150

Step-by-step explanation:

Answer:

$150

Step-by-step explanation:

Percent Proportions Formula = a/b = n/100

45/b = 30/100

Then do cross multiplication

4500/30

which would equal $150.

Answer:

Step-by-step explanation:

V = 1/3 pi r^2 h

r = d/2

r = 6/2 = 3

h = 4.5

V = 1/3 *3.14 * 3^2 * 4.5

V = 1/3 * 3.14 * 9 * 4.5

V = 1/3 * 127.17

V = 42.39

Answer:

y-5=2/3(x+9)

Step-by-step explanation:

your welcome

Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.

An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.

Now,

Hence, Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.

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Probability that exactly 20 will be in the interval 0.5 to 0.75 Is about 7.8%

To find the probability that exactly 20 random numbers will be in the interval 0.5 to 0.75, we need to use the binomial distribution formula. Let p be the probability of a number falling in the interval (0.5 to 0.75), which is 0.25. Let n be the total number of random numbers generated, which is 100.

We want exactly 20 of these numbers to fall within the interval (0.5 to 0.75). Therefore, using the binomial distribution formula, we get: P(X = 20) = (100 choose 20) * (0.25)^20 * (0.75)^80

Using a binomial calculator, we find that P(X = 20) is approximately 0.078, or 7.8%. This means that if we generate 100 random numbers over the interval 0 to 1 many times, we can expect to see exactly 20 of them fall within the interval (0.5 to 0.75) about 7.8% of the time.

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Answer:

\( \huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}\)

Step-by-step explanation:

\(\\ \sf\longmapsto \ell=\dfrac{\Theta}{180}\pi r\)

\(\\ \sf\longmapsto \ell=\dfrac{60}{180}\times 3.14(10)\)

\(\\ \sf\longmapsto \ell=\dfrac{1}{3}(31.4)\)

\(\\ \sf\longmapsto \ell=10.4m\)

Given that the plane flies at 100 mph for the first and last half-hour of a numbers , and it flies at 150 mph the rest of the time. We need to find the distance of the plane from Erewhon after 4 hours of flying.The total flight duration = 4 hoursThe distance of the plane from Erewhon = ?.

First, we will find the distance traveled by the plane in the first half-hour:Distance covered in the first half hour = Speed × Time= 100 × 0.5= 50 milesSimilarly, the distance traveled by the plane in the last half-hour = 50 milesThe distance left to cover after the first and last half-hour = Total Distance - Distance covered in the first and last half-hour= 900 - 50 - 50= 800 milesTime taken to cover this distance = 4 - 0.5 - 0.5 = 3 hoursNow, we will calculate the distance covered during these 3 hours:

Distance covered = Speed × Time= 150 × 3= 450 miles Therefore, the total distance covered during the journey = 50 + 450 + 50 = 550 miles.Distance of the plane from Erewhon = Total distance - Distance covered= 900 - 550= 350 milesTherefore, the distance of the plane from Erewhon after 4 hours of flying is 350 miles.

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Answer:

5.01

Step-by-step explanation:

rude..

3.006:60*100 =

(3.006*100):60 =

300.6:60 = 5.01

Now we have: 3.006 is what percent of 60 = 5.01

Question: 3.006 is what percent of 60?

Percentage solution with steps:

Step 1: We make the assumption that 60 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=60.

Step 4: In the same vein, x%=3.006.

Step 5: This gives us a pair of simple equations:

100%=60(1).

x%=3.006(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\(\frac{100\%}{x\%}=\frac{60}{3.006}\)

Step 7: Taking the inverse (or reciprocal) of both sides yields

\(\frac{x\%}{100\%}=\frac{3.006}{60}\)

> x=5.01%

Therefore, 3.006 is 5.01% of 60.

Answer:

Step-by-step explanation:

he ate 21 egg sandwiches

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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The best first step in calculating an inferential statistic for the given scenario would be to calculate the mean for older siblings.

To compare the motivation to succeed between older and younger siblings, the first step is to compute descriptive statistics for each group separately. In this case, we are interested in determining if older siblings have greater motivation.

Calculating the mean for older siblings will provide an initial understanding of the central tendency of their motivation scores. By taking the average of their responses on the 1-7 scale, we can obtain a measure of their typical motivation level.

Further statistical analysis, such as hypothesis testing or calculating effect sizes, can be performed using the mean values of both older and younger siblings. However, the initial step is to calculate the mean for older siblings to establish a baseline understanding of their motivation level.

In the given scenario, the best first step in calculating an inferential statistic is to calculate the mean for older siblings. This provides a starting point to compare their motivation to succeed with that of their younger siblings.

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complete question- When should you calculate and use a "weighted average" for pooled variance in an inferential t-test? When sample sizes are equal. When sample sizes are unequal: When data is invalid. When data is unreliable: Question 17 1 pts A researcher wants to know if older siblings have greater motivation to succeed than their younger siblings. The researcher asks a group of 50 sibling pairs how motivated they are to succeed on a scale of 1-7. As discussed in lecture, what would be the best first step in calculating an inferential statistic? Calculate the standard deviation for older siblings. Calculate the mean for younger siblings. Calculate the mean for older siblings. Subtract the motivation of younger sibling from the other (older sibling).

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

0 = (x - 3)(2x + 1)(x - 1)

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

Answer:

2n² + n

Step-by-step explanation:

Given sequence:

3, 10, 21, 36, ...

Work out the first differences between terms:

\(3 \underset{+7}{\longrightarrow} 10 \underset{+11}{\longrightarrow} 21 \underset{+15}{\longrightarrow} 36\)

As the first differences are not the same, work out the second differences.

\(7 \underset{+4}{\longrightarrow} 11 \underset{+4}{\longrightarrow} 15\)

As the second differences are the same, the sequence is quadratic and will contain an n² term.

The coefficient of n² is always half of the second difference. Therefore, as the second difference is 4, the coefficient of n² is 2.

To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare with the given sequence:

\(\begin{array}{|l|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4 \\\cline{1-5} 2n^2 & 2 & 8 & 18 & 32\\\cline{1-5} \sf Operation & +1 & +2& +3& +4\\\cline{1-5} \sf Sequence & 3 & 10 & 21 & 36\\\cline{1-5}\end{array}\)

Therefore, we need to add n to 2n² to match the sequence.

Therefore, the nth term of this sequence is 2n² + n.

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7.5-3.25=4.25 tons.

The truck weights 4.25 tons.

Check with other answers, although I'm pretty sure its correct.

Heart if helpful :D