Subtract 8x + 2 from 4x – 6

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

Answer:

\(\frac{1}{35\\\\}\)

Step-by-step explanation:

\(\frac{1}{5\\}\) ÷ 7 =

\(\frac{1}{5\\}\) * \(\frac{1}{7}\) =

\(\frac{1}{35}\)

1/5 divided by 7 in its simplest form is 1/35 .

Given,

1/5 divide by 7.

Let the number be x .

Mathematically,

x = 1/5 ÷ 7

x = 1/35

Hence 1/5 ÷ 7 is 1/35 .

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Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

It is not possible to determine the validity of the survey based solely on the information provided, and we cannot conclude whether the survey is valid or invalid.

A survey is a method of collecting information or data from a group of people or a population. The purpose of a survey is to gather information about people's opinions, attitudes, preferences, behaviors, or demographic characteristics.

The statement "valid because an equal number of adults supporting both teams were surveyed" is not sufficient to ensure the validity of the survey.

Therefore, it is not possible to determine the validity of the survey based solely on the information provided, and we cannot conclude whether the survey is valid or invalid.

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Answer:

A. invalid because of biased sampling

Step-by-step explanation:

Answer: Break the numbers you're multiplying into parts.

Step-by-step explanation:

What I find helps is splitting up the numbers and later adding them back together. An example of this is:

29×14

First I'd do 29×10, and get 290

Then 20×4, followed by 9×4, resulting in 80 and 36 respectively

Finally, 290+80+36= 406

I find the simplest numbers in the problem (2,5,10,20, etc.) and multiply from there. This may not be the best trick, but this is what I find helps. I hope this may help you too, and I wish you the best of luck.

If we divide the LCM of 78 and 156 by their HCF then we will get 2.

Given two numbers being 78 and 156.

We are required to divide the LCM of 78 and 156 by the HCF of 78 and 156.

We have to first find the LCM and HCF of 78 and 156.

LCM is basically the lowest common multiple. It is basically the lowest number that can be divided by both the numbers.

HCF is the highest common factor. It is basically the highest number which can divide both the numbers.

78=2*3*13*1

156=2*2*3*13*1

LCM=2*3*2*13

LCM=156

HCF=2*13*3

HCF=78

LCM/HCF=156/78

=2

Hence if we divide the LCM of 78 and 156 by their HCF then we will get 2.

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Answer:

The equation of the line in point-slope form is \(y - 1 = m(x + 1)\)

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

\(y - y_0 = m(x - x_0)\)

In which the point is given by \((x_0,y_0)\) and m is the slope.

The slope of the line below is 3.

This means that \(m = 3\)

(-1,1)

This means that \(x_0 = -1, y_0 = 1\).

Equation of the line:

\(y - y_0 = m(x - x_0)\)

\(y - 1 = m(x - (-1))\)

\(y - 1 = m(x + 1)\)

The equation of the line in point-slope form is \(y - 1 = m(x + 1)\)

Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

Answer:

total cost = sell price + (sell price * 0.07)

Answer:

China

Step-by-step explanation:

China is still by far the biggest exporter of seafood, followed by Norway (see Figure 1). Both countries have added more than USD 2bn to their seafood exports in the last five years (2012 to 2017).

Answer:

china!

Step-by-step explanation:

Answer:

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

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

Step-by-step explanation:

Answer:13

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perpendicular bisector of any chord is a diameter and therefore passes through the center of the given circle.

The triangle OMA is thus rectangle.

The locus of M is the circle of diameter OA  with center (1,0) and radius 1.

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Answer:

\(1<x<3\)

Step-by-step explanation:

Let simplify each of these inequalities individually and then look at where they intersect afterwards

\(x+1<4\\\\x<3\)

And

\(x-8>-7\\\\x>1\)

This means that for these two inequalities to intersect, x must be greater than 1, but less than 3.

This can be represented by the following inequality \(1<x<3\)

-5/2

Step-by-step explanation:

Changed 3 3/4 to an improper fraction. which then becomes 15/4.

Using keep change flip, we change the equation to -2/3 x 15/4

multiply across and get -30/12 simplify to -5/2.

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

x=17

Step-by-step explanation:

See attached.

Because of the Triangle Proportionality Theorem,

24: (2x-4)+6

20: 2x-4

Cross multiply these two ratios

48x-96 = 40x-80+120

Isolate variable: 8x = 96-80+120

Solve: 8x = 136

x=17

Answer:

0.007 pounds a day

Step-by-step explanation:

if he loses 18.5 pounds in 4 weeks then each week has 7 days so you divide 18.5 by 7 four times. HOPE THIS HELPS :)

Answer:

110/250

Step-by-step explanation:

If the fraction goal is 250 then put the 250 as the denomanator and the 110 as the top common denomanator.

Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44.

To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

In the diagram given, we can find the total amount of funds to be raised and the amount of fund which is raised currently.

Total amount to be raised = $250,000

Amount already raised = $110,000

Percentage of funds raised = (110,000/250,000) × 100 = 44 %

Fraction of funds raised = (110,000/250,000) = (11/25)

Fraction of funds raised in decimal form = 0.44

Hence, Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44

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(The question is incomplete, the complete question is given below.)

Answer:13%

Step-by-step explanation:

Lets call the Teacher Mrs.Lukens and we put the number into a calculator and subtract 35-13% you have it but as it was a guess you will never know.

Answer:

x=6.93

Step-by-step explanation:

use the Pythagorean theorem

8^2=(0.5 x 8)^2+x^2

64=16+x^2

x^2=48

x=6.93

Answer:x= Square root 48

Step-by-step explanation:

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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A minimum population size of approximately 7373 to achieve a 99% confidence interval with a margin of error of 3 and a known standard deviation of 100.

To calculate the minimum population size required to achieve a 99% confidence interval with a margin of error of 3 and a known standard deviation of 100, we can use the following formula:

n = [(z-value × SD) / ME]²

Where:

n = the minimum sample size required

z-value = the critical value for the desired confidence level (99% in this case)

SD = the known standard deviation (100 in this case)

ME = the desired margin of error (3 in this case)

First, we need to determine the z-value for a 99% confidence level. Using a standard normal distribution table, we find that the z-value for a 99% confidence level is approximately 2.576.

Substituting the values into the formula, we get:

n = [(2.576 × 100) / 3]²

Simplifying this expression, we get:

n = 7373.08

Therefore, we would need a minimum population size of approximately 7373.

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We have that the people in the poll liked to ski or snowboard or both mathematically given as

Where

Generally the equation for the people who like both   is mathematically given as

n(AUB)=n(A)+n(B)- n(AnB)

Therefore

n(AUB)=130+171- 102

n(AUB)=99

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Answer:

a four-sided plane rectilinear figure with opposite sides parallel.

Step-by-step explanation:

Answer:

Parallelograms are a type of quadrilateral, which is a polygon with four sides. A parallelogram is a specific type of quadrilateral that has two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length.

In addition to having parallel sides, parallelograms also have some other notable properties:

Opposite angles are congruent: The opposite angles of a parallelogram are equal in measure. This means that if you label the angles A, B, C, and D, then angle A is congruent to angle C, and angle B is congruent to angle D.

Step-by-step explanation:

The total number of transistors in the Titan is equal to 5.950 × 10²¹ transistors.

A supercomputer simply refers to one of the most powerful computers that is designed and developed for handling, evaluating, and solving very complicated problems, calculations, or tasks, better than ordinary desktop or laptop computers.

In order to determine the total number of transistors in the Titan, we would multiply the number of transistors in its central processing unit (CPU) by the number of transistor in its graphics processing unit (GPU) as follows:

Total number of transistors = 4.485 × 10¹⁰ × 1.3268 × 10¹¹

Total number of transistors = (4.485 × 1.3268) × (10¹⁰ × 10¹¹)

Total number of transistors = 5.950 × (10⁽¹⁰ ⁺ ¹¹⁾)

Total number of transistors = 5.950 × 10²¹ transistors.

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Complete Question:

Supercomputers have been developed that are much larger and can perform many more calculations than ordinary desktop or laptop computers. One such supercomputer, the Titan, has 4.485 × 10¹⁰. transistors in its central processing unit (CPU) and another 1.3268 × 10¹¹. transistor in its graphics processing unit (GPU). Find the total number of transistors in the Titan. Show your working and give your answers in standard form.

Answer:

Step-by-step explanation:

answer is A