Solve the system of equations using Cramer's Rule if it is applicable. 2x - y = 5 7x + 3y = 37

Answer:

D. 483.84 ft^2.

Step-by-step explanation:

we have 2 triangles and 7 rectangles, 5 of which are 8.4*8.4 squares.

Area = 2 * 1/2 * 4 * 8.4 + 2*5.8*8.4 + 5 * 8.4^2

= 33.6 + 97.44 + 352.8

= 483.84 ft^2.

The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).

In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.

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Answer:

Step-by-step explanation:

the journey will last

100 miles/25 mph=4 hours

Lorry travels 100 miles at a speed of 25 mph for 4 hours.

Average speed is calculated by dividing the entire distance that something has traveled by the overall amount of your time it took it to travel that distance. Speed is how briskly something goes at a specific moment. Average speed measures the typical rate of speed over the extent of a visit.

We know that speed=distance/time

We have been provided that speed=25 miles per hour and distance is 100 miles. so so as to calculate the time we've got to merely put the values of speed and distance within the formula:

Time=distance/speed

=100/25

=4

Hence lorry will take 4 hours to hide 100 miles at a speed of 25 miles per hour.

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Answer:

Roy is 6 years old and Aaron is 1 year old.

Step-by-step explanation:

A is Aaron's age,

R is roy's age,

A = R - 5

R + 4 = 2(A+4)

We can distribute first,

R + 4 = 2A + 8

Subtract 4 from each side,

R = 2A + 4

Since A = R - 5, you can substitute in R - 5 for A in the equation,

R = 2(R-5) + 4

Distribute,

R = 2R - 10 + 4

Since - 10 + 4 = -6, we can do this,

R = 2R - 6

Subtract R from both sides,

0 = R - 6

Add 6 to both sides and you have part of your answer;

R = 6

Since A = R - 5,

A = 6 - 5

A = 1, so Aaron's age is 1.

Answer:

6

Step-by-step explanation:

9 x 2/3

9/1   x 2/3 =   18 / 3  = 6

Answer:

$32.61

Step-by-step explanation:

First, we multiply the amount he earns per hour by the amount of hours he worked. $11.52 * 37 = $426.24. Then, we figure out what 7.65% of $426.24 is, which we can do by multiplying 426.24 by 0.0765. This gives us $32.60736, but since there is no form of US money that is worth less than 1 cent, we round to the nearest cent and get $32.61.

Hope this helps!

It would take 11 months of membership for the total money paid to each club to be the same.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent the number of months subscribed. Hence,

For Roman's gym:

Total payment = 25x + 49.99

For Athens Fitness:

Total payment = 18x + 126.99

For both clubs to have the same payment:

25x + 49.99 = 18x + 126.99

7x = 77

x = 11

It would take 11 months of membership for the total money paid to each club to be the same.

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Answer:

140.4

Step-by-step explanation:

Answer:

$141.01 and if it is the nearest whole number it would be $141

Step-by-step explanation:

first you have to do 94 divided by 6. you do this to see how much 1 meal cost.

then you get: 15.67

now you take 15.67x3=47.01

cuz we need 3 more meals. we know this cuz we have 6 and want 9 so 6-9 is 3.

now we take 47.01+94=141.01

we just need to add 3 to the 6 we have to make 9 meals.

so your answer would be $141.01

plz give brainliest!

Answer:

-16 and -45

Step-by-step explanation:

-16 - (-45)

= -16 + 45

= 29.

Answer:

166,649.

Step-by-step explanation:

49

∑ (2n + 1)^2 =    4∑n^2 + 4∑n + 49

0

=  (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49

=  2/3 * 49* 50 *99 + 2*49*50 + 49

= 161700 + 4900 + 49

= 166649

The value of the baseball card after 10 years will be approximately 67.13 if it increases in value at a rate of 3% per year.

Let the value of the baseball card in 2020 be V.

If the card increases in value at a rate of 3% per year, then the value of the card after n years will be given by the formula:

                   V = 50(1 + 0.03)n

To find the value of the card after 10 years, we substitute n = 10 into the formula and evaluate:

                   V = 50(1 + 0.03)10V

                      ≈ 67.13

This represents a gain of 17.13 over the original purchase price of 5.

Thus, the value of the baseball card after 10 years will be approximately 67.13 if it increases in value at a rate of 3% per year.

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The amount of time that passes between iterations of the same behavior can vary depending on the specific behavior and the individual or situation involved. However, there is no specific time frame that can be universally applied to all behaviors.

When examining the frequency of a behavior, it is important to consider factors such as the complexity of the behavior, the availability of resources, and the motivation or reinforcement associated with the behavior. Additionally, individual differences and external influences can also affect the time between iterations of a behavior.

To determine the time between iterations, one can observe and record the occurrences of the behavior over a specific period. By analyzing the data collected, patterns can emerge, providing insights into the timing and frequency of the behavior.

In conclusion, the time between iterations of the same behavior is not fixed and can vary depending on various factors. Observing and recording the behavior over a period of time can help determine the frequency and time frame of the behavior.

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Answer: 3

Step-by-step explanation:

Answer:

30 feet

Step-by-step explanation:

110-100=10 yards=30 feet

Step-by-step explanation:

30 feet 100-100=10 ×3 =30

The linear function represented by the table is:

y = 8x + 6

A general linear function can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

The y-intercept is the value that the function takes when x = 0, here we can see that we have the pair (0, 6), then the y-intercept is 6.

y = a*x + 6

Now we want to find the value of a. Using any other of the pairs in the table (like (3, 30) for example)

We can replace the points in the equation and then solve it for a.

Using the second point (1, 14) we will get:

14 = a*1 + 6

Now we can solve that for a.

14 = a + 6

14 - 6 = a

8 = a

The linear function is:

y = 8x + 6

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An equation that is parallel to the line 32x-y=15 is y = 32x - 47.

y' = 4x³

m = slope of tangent line =slope of the given line = 32

y' = 32 at the tangent point

4x³ = 32

x = 2

y = 2⁴+ 1 = 17

The tangent point is (2,17)

Tangent line:

y = 32x + b

17 = 32(2) + b

b = -47

y = 32x - 47

The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.

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Answer:

the corect answer for this question is

(4,3-)

Answer:

A

Step-by-step explanation:

the line going horizontal(left to right), is the y line

the line going vertically (up and down), is the x line

now that we know where the x and the y lines are at, now we apply it to the format, (x,y)

where the y and x line meet is the origin (0,0), going left or down make the number a negative. up and right make the number positive  

Using the circumference formula, the radius of the smaller windmill is obtained as Option D: 60 feet.

What is circumference?

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

For the larger windmill, the circumference is C = 660 feet.

Solving for the radius -

C = 2πr

660 = 2πr

r = 660/(2π)

r ≈ 105.1 feet

Also, the diameter is given as 210 feet.

So, the radius will be - diameter / 2.

This gives the radius value as -

Radius = 210/5

Radius = 105 feet

For the smaller windmill, the circumference is C = 376 feet.

Solving for the radius using the same formula -

C = 2πr

376 = 2πr

r = 376/(2π)

r ≈ 59.8 feet

Therefore, the radius of the smaller windmill is approximately 59.8 feet, or 60 feet.

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The coordinates of point D 0.25 x-axis for the points A(2, 6), B(0, 0), C(-5, 8), and D(-2, 10) are (-2, -2.5) when point D is reflected across the x-axis. This is obtained by negating the y-coordinate of point D and keeping the x-coordinate the same.

To find the coordinates of point D 0.25 x-axis, we need to reflect point D across the x-axis. This will result in the y-coordinate of point D being negated while the x-coordinate remains the same.

The coordinates of point D are (-2, 10), so when we reflect it across the x-axis, we get the new coordinates:

D 0.25 x-axis = (-2, -10/4) = (-2, -2.5)

Therefore, the coordinates of point D0.25∘rx-axis for the given points A, B, C, and D are (-2, -2.5).

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Hope this helped! Good luck

Answer:

(a) x = 10

(b) y = 4

Step-by-step explanation:

For a line of the form y = mx + b, the slope is m, b is the y-intercept

A parallel line will have the same slope and a different y intercept

A perpendicular line has a slope = -1/m

But x = -4 is a line parallel to the y axis intercepting the x-axis at -4. So slope = ∞

Therefore here are equations for a parallel line and a perpendicular line

A parallel line will have the form x = k where k is a constant(positive or negative). So x = 10 is a line parallel to x = -4

A perpendicular line will be of the form y = 4 or y = -10 or whatever, i.e. without the x component. Such a line will be parallel to the x-axis so both lines are perpendicular

Regarding your questions

y = 4x + 3 has a slope of 4 and a y intersect of 3 so it will be a sloping line
x = 4 will be parallel, not perpendicular to x = -4

I have provided a graph which makes this explanation clearer. The dotted line is x = 4 and you can see it is parallel to x = -4

Model is same shape as original with scale factor 2:9.

Ratio of

a. Surface area of model and original is 4:81.

b. Height of model and original is 2:9.

c. Volume of model and original is 8:243.

As given,

Scale factor (a: b)=2:9

Ratio of model and original for

a. Surface area =a²: b²

                         =4:81

b. Height=a :b

              =2:9

c. Volume=a³ :b³

                =8:243

Therefore, model is same shape as original with scale factor 2:9.

Ratio of model and original for

a. Surface area is 4:81.

b. Height  is 2:9.

c. Volume is 8:243.

The complete question is :

A designer builds a model of a canoe. the finished model is exactly the same shape as the original, but smaller. the scale factor is 2:9.

(a) find the ratio of the surface area of the model to the surface area of the original. (b) find the ratio of the height of the model to the height of the original. (c) find the ratio of the volume of the model to the volume of the original.

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(a) The regular price of the shirt = $48

(b) Jimmy bought the shirt for 75% of the regular price.

As Jimmy bought the shirt for $36, which is 3/4 of the regular price, we can use algebra to determine the regular price of the shirt.

Let x be the regular price of the shirt. Then, we can set up the equation which is:

(3/4)x = 36

x = 36/0.75

x = $48.

Therefore, the regular price of the shirt was $48.

To get percentage of the regular price that Jimmy bought the shirt for, we can use:

= Discounted price/Regular price x 100%

= (36/48) x 100

= 75%.

Full question "Jimmy bought that shirt $36 this was 3/4 of the regular price".

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Answer:

7*3=21

8-5=3

21+3-24

Step-by-step explanation:

Answer:

\(\sqrt{5}\)

Step-by-step explanation:

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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