A football team scored 16 points, which was 12 fewer points than their opponents scored. How many points, y, did their opponents score? *
1 point
y = 24
y = 28
y = 4
y = 18
NEED HELP!!! 10 PIONTS

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.

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

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

Answer: Choice C

\((x,y) \to (x-8,y-4)\)

===================================================

Explanation:

The first translation \((x,y) \to (x-9,y-2)\) has x become x-9. This means we shift 9 units to the left.

The second translation \((x,y) \to (x+1,y-2)\) tells us to shift 1 unit to the right when going from x to x+1.

Combining the "9 units to the left" and "1 unit to the right" will produce an overall shift of "8 units to the left". It might help to draw out a number line to see this.

After combining those two translations, we'll have \(x \to x-8\) which means we'll end up with \((x,y) \to (x-8,y-4)\). The first two translations shift the point down 2 units at a time, so overall we shift down 4 units.

The point of intersection of the system of equations is (3, 4) and this is plotted in the graph shown below.

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In conclusion, the coordinate (3, 4) is the point of intersection of the given system of equations.

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Answer:

x = 10

Step-by-step explanation:

if BC and DE are parallel then the sides of the triangle are divided proportionally, that is

\(\frac{CE}{AE}\) = \(\frac{BD}{AD}\) ( substitute values )

\(\frac{x-2}{16}\) = \(\frac{x-3}{14}\) ( cross- multiply )

16(x - 3) = 14(x - 2) ← distribute parenthesis

16x - 48 = 14x - 28 ( subtract 14x from both sides )

2x - 48 = - 28 ( add 48 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

then for BC and DE to be parallel, x has the value x = 10

Note that; i = √-1

Divide using the rule

10/2i = -5i

Best of Luck!

Answer:

B

Step-by-step explanation:

this should be right

Answer:

\(y=\frac{4}{3}x + 4\)

Step-by-step explanation:

I used the slope formula and slope-intercept form  y  =  m x  +  b  to find the equation.

Hope this helps:)

Answer:

how many people are there, does it say?

Step-by-step explanation:

Answer: 78 ounces of dough

Step-by-step explanation:

You bought 78 ounces of dough and 52 ounces of sauce

Answer:

B and D

Step-by-step explanation:

A: 3x-27

B: 9x-27

C: 9x-21

D: 9x-27

E: 9x-3x

Answer:

Step-by-step explanation:

We know that the terms of the expression are divisible by 9. Let's factor them.

Now, let's verify all the options.

After reviewing all options, we can conclude that Option B and D are correct.

The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

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the largest length of the squares will be 120m.

The largest possible length will be equal to the greatest common factor between the dimensions of the rectangular plot, so we need to find the GCF between 600 and 720.

If we decompose both numbers, we get:

600 = 2*2*2*3*5*5

720 = 2*2*2*2*3*3*5

Then the greatest common factor is: (2*2*2*3*5) = 120

So the largest length of the squares will be 120m.

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Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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Answer:

R = 21

Step-by-step explanation:

525 ÷ 28 = 18 R 21

28 × 18 = 504

525 - 504 = 21

Therefore, the remainder is 21.

Hope this helps! :)

The remainder of 525 divided by 28 is 21

First step

Division

525 ÷ 28

= 18

Second step multiply 28 by 18

28 × 18

= 504

Now let determine remainder of 525 divided by 28

Remainder=525 - 504

Remainder= 21

Inconclusion remainder of 525 divided by 28 is 21

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Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

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The lateral surface area of the square pyramid is  176 in².

The first thing we need to do is find the slant height of the pyramid, which is the height of each of the triangular faces. We can use the Pythagorean theorem to do this:

slant height² = height² + (1/2base)²

slant height² = 7² + (1/28)²

slant height² = 49 + 16

slant height² = 65

slant height = √(65)

Now that we have the slant height, we can find the lateral surface area by multiplying the perimeter of the base by half the slant height. The perimeter of the base is simply 4 times the length of one of the sides, which is 8 inches.

lateral surface area = (perimeter of base * slant height) / 2

lateral surface area = (4 * 8 * √(65)) / 2 lateral surface area = 16 * √(65)

To simplify the radical, we can factor out any perfect squares that are factors of 65:

lateral surface area = 16 * √(65)

lateral surface area = 16 * √(513)

lateral surface area = 16 * √(5) * √(13)

lateral surface area = 16 * √(5) * √(43.25)

lateral surface area = 16 * √(5) * (2 * √(3.25))

lateral surface area = 64 * √(5) = 176.42 square inches.

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The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

lol the answer is the second one

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Answer:

5 1/3

Step-by-step explanation:

3 + 2 = 5

2 + 3 = 5

5 5/15

5 1/3 simplified

Answer:

5 5/15

Step-by-step explanation:

2/15 + 3/15 = 5/15 which is less than one whole. Then 3 + 2 = 5. 5 + 5/15 = 5 5/15

Alan's method is correct coz to find we add all the given value and divide by the numbers present

There are two solutions for the equation |1/2x + 1| = 5: x = 8 and x = -12.

To determine the number of solutions for the equation |1/2x + 1| = 5, we need to consider the possible cases based on the absolute value expression.

Case 1: 1/2x + 1 = 5

In this case, we isolate the absolute value expression by subtracting 1 from both sides:

1/2x = 4

To solve for x, we multiply both sides by 2:

x = 8

This is one solution.

Case 2: 1/2x + 1 = -5

In this case, we isolate the absolute value expression by subtracting 1 from both sides:

1/2x = -6

To solve for x, we multiply both sides by 2:

x = -12

This is another solution.

Therefore, we have found two solutions for the equation |1/2x + 1| = 5: x = 8 and x = -12.

It's important to note that the absolute value function |1/2x + 1| can be equal to 5 for both positive and negative values of x, resulting in two solutions.

The absolute value function yields the positive magnitude of the expression inside the absolute value bars, so we consider both positive and negative solutions.  

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1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Kevin's kick can be considered the best among the four.

To determine the most impressive kick, we can compare the distances and heights achieved by each player.

Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.

Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.

Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.

Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.

Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.

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Answer:

Step-by-step explanation:

6

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

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Answer:

Step-by-step explanation:

use the law of sine

sin 60°  = sin 45°      

 10               x

cross multiply:

x (sin 60) = 10 (sin 45)

x =  5 √2

     √3/2

answer:

x = 10 √6

       3

     or

x = 8.165

Answer:

D

Step-by-step explanation:

Which is I and II only

degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.