Find two numbers whose sum is 15; twice the first number decreased by the second number gives 6.
Please and thank you.​

Answer:

  1/3

Step-by-step explanation:

When the equation of a line is in standard form:

  ax +by = c

We can find its slope by solving for y:

  by = -ax +c

  y = -a/bx +c/b

The slope is the coefficient of x. The slope is -a/b.

__

A perpendicular line has a slope that is the negative reciprocal of this:

  slope of perpendicular line = -1/(-a/b) = b/a

In the given equation, a=3, b=1, so the slope of the perpendicular line is ...

  b/a = 1/3

28000 is the answer.

you count two numbers from front and approximate

The formula for `g(x)` if `g(x)` is the graph of `f(x)` shifted up `6` units is `g(x) = x² + 6`.

Given a function  `f(x) = x²`. We are to find the formula for `g(x)` if `g(x)` is a graph of `f(x)` shifted up `6` units.

Write the answer in the main part and explanation .When `g(x)` is a graph of `f(x)` shifted up `6` units, the vertex `(h,k)` of `g(x)` is given by `(h,k+6)`. The vertex form of a quadratic function is given as: `f(x) = a(x - h)² + k` where `a` is the stretch factor.

The value of `a` is `1` in this case since there is no horizontal stretch. The vertex of `f(x)` is `(0,0)`.Thus, the vertex form of `g(x)` becomes: `g(x) = a(x - 0)² + (0 + 6)`.

Simplifying gives us `g(x) = x² + 6`.Therefore, the formula for `g(x)` is

`g(x) = x² + 6`.

Conclusion: The formula for `g(x)` if `g(x)` is the graph of `f(x)` shifted up `6` units is `g(x) = x² + 6`.

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Answer:

It's (C) But if you do it like this you get 13/6

Step-by-step explanation:

The simplified solution of trigonometric equation 1 cos(2x) = cos²(x) - (x-2) is sin²(x) - x - 1 = 0.

To solve the equation 1 cos(2x) = cos²(x) - (x-2), we can follow these steps:

Step 1: Simplify the equation:

1 cos(2x) = cos²(x) - (x-2)

Use the identity cos²(x) = 1 - sin²(x) to rewrite the equation:

1 cos(2x) = 1 - sin²(x) - (x-2)

Step 2: Simplify further:

Since cos(2x) = 1 - 2sin²(x), we can substitute this expression into the equation:

1 - 2sin²(x) = 1 - sin²(x) - (x-2)

Step 3: Expand and rearrange terms:

Distribute the negative sign:

1 - 2sin²(x) = 1 - sin²(x) - x + 2

Combine like terms:

-2sin²(x) + sin²(x) + x = 2 - 1

Simplify:

-sin²(x) + x = 1

Step 4: Move all terms to one side:

Rearrange the equation:

sin²(x) - x - 1 = 0

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Answer: 13.B

  14.B

15.C

16.A

17.D

18.A

Step-by-step explanation:

when you flatten a spherical meatball into a hamburger, you increase its surface area while keeping the volume constant.

A sphere is a three-dimensional shape that has a curved surface. When you flatten a spherical meatball into a hamburger, you are essentially reshaping it into a flat, disk-like form. By doing so, you increase the area that is in contact with the cooking surface, such as a pan or grill. This larger surface area allows for more even cooking and browning.

However, the total amount of meat remains the same when you flatten the meatball. The volume of an object refers to the amount of space it occupies, and since the meatball is being flattened without adding or removing any meat, the volume remains constant. In other words, the flattened hamburger will have a larger surface area but the same amount of meat as the original spherical meatball.

So, when you flatten a spherical meatball into a hamburger, you increase its surface area while keeping the volume constant.

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When you flatten a spherical meatball into a hamburger, you decrease its volume and increase its surface area.

When a spherical meatball is flattened into a hamburger, its shape changes from a sphere to a flat disk. This transformation affects both the volume and surface area of the meatball.

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere. The surface area of a sphere is given by the formula A = 4πr^2.

On the other hand, the volume of a disk (or a circle) is given by the formula V = πr^2, where r is the radius of the disk. The surface area of a disk is given by the formula A = 2πr.

When the meatball is flattened, its radius decreases, resulting in a smaller volume. The volume of the flattened meatball is less than the volume of the original spherical meatball.

However, the surface area of the flattened meatball increases. The surface area of the flattened meatball is greater than the surface area of the original spherical meatball.

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If Beatriz takes a simple random sample of 350 orders from the more than 5000 total to her store and finds. The probability that more than 12 percent of the sampled orders would have been returned is 0.02.

Mean = n * p

Mean = 350 * 0.09

Mean= 31.5

Standard deviation = √ p * (1 - p)/n

Standard deviation = √ 0.09 * 0.91/350

Standard deviation = 0.01529

Using the  normal distribution table

p>0.12

P(p>0.12) =0.02

Therefore the probability that more than 12 percent of the sampled orders would have been returned is 0.02.

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Applying a subtraction operation, it is found that his new ERA was of 3.17.

ERA is a baseball concept, but understanding of baseball is not relevant to this question.

One year, a professional baseball pitcher had a 3.91 ERA. The next year, it was 0.74 points lower, hence it was given by the subtraction of 3.91 and 0.74, that is:

ERA = 3.91 - 0.74 = 3.17.

His new ERA was of 3.17.

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Answer:

\(2\frac{14}{15}\) cakes

Step-by-step explanation:

2.5 for each cake

7.3333 cups of sugar

\(\frac{2.5}{1}:\frac{7\frac{1}{3} }y}\)

2.5y = \(7\frac{1}{3}\)

2.5y ÷ 2.5 = \(7\frac{1}{3}\). ÷ 2.5

y = \(2\frac{14}{15}\)

The maximum number of 4 3/4 pound bags Jason could make is 5.

To find the maximum number of 4 3/4 pound bags Jason can make from the remaining seeds, we need to determine how many pounds of seeds are left after he used 5.25 pounds.

Jason initially bought a 30-pound bag of seeds and used 5.25 pounds. Therefore, the amount of seeds remaining is 30 - 5.25 = 24.75 pounds.

Now, we need to convert the 4 3/4 pounds into a decimal fraction. To do this, we multiply the whole number (4) by the denominator (4) and add the numerator (3). This gives us 4 * 4 + 3 = 19/4 pounds.

To find the maximum number of bags, we divide the remaining seed weight (24.75 pounds) by the weight per bag (19/4 pounds).

24.75 / (19/4) = 24.75 * (4/19) = 99/19 ≈ 5.21.

Since we can't have a fractional number of bags, we round down to the nearest whole number. Therefore, Jason can make a maximum of 5 bags of seeds, each weighing 4 3/4 pounds, with some seeds left over.

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The  is closest to the range of sales for the four-day period is $5,500 (Option A)

Taking a look at the graph we can see that in May, there were about 5,500 dollars in sales.

In June, there were 8,000 dollars in sales.

In July, there were about 2,500 dollars in sales.

In August, there were 6,000 dollars in sales.

To find the range, subtract the smallest amount from the largest amount.

$8,000 - $2,500 = $5,500

Therefore, the range is $5,500. So we are right to state that Option A is the answer.

Note that the principle of range here remains the same across board.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

A company made a bar graph showing the amount of sales for each month in thousands of dollars. Which of the following is closest to the range of sales for the four-month period?

A. $5,500

B. $3,000

C. $500

D. $2,500

See attached image.

Answer:

$1,352.5

Step-by-step explanation:

A=p(1+r/n)^nt

Where,

P=principal

r=interest rate

n=no of periods

t=time

P=$5,000

r=2%

n=4

t=12

A=5000(1+0.02/4)^4*12

=5000(1+0.005)^48

=5000(1.005)^48

=5000(1.2705)

=$6,352.5

How much more money after 12 years

=$6,352.5-$5000

=$1,352.5

Sοlving the equatiοn we get x=7

In mathematics an equatiοn is a mathematical statement which is built by twο expressiοns cοnnected by an equal ('=')sign. Fοr example, 3x – 8 = 16 is an equatiοn. Sοlving this equatiοn, we get the  x = 8.

Given that,

3/x²= x-4/3x² +2/x²

Tο sοlve the given equation  at first we will take LCM of the denominator of RHS

⇒ \(\frac{3}{x^{2} }\)=\(\frac{x-4+6}{3x^{2} }\)

⇒\(\frac{3}{x^{2} }\) = \(\frac{x+2}{3x^{2} }\)

By crο ss multiplicatiοn we get,

  x+2= 9

Subtracting 2 frοm both sides of equation we get

  x= 9-2

 x=7

Hence sοlving the equation we get x=7

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Answer:

A shape with four sides with two being longer than the other two?

Step-by-step explanation:

Answer:

A geometric shape with two sets of paralel lines joined by 4 vertexes.

Answer:

3.1m pole has 1.65m shadow

??? building casts 44.75 m shadow

3.1 / 1.65 = x / 44.75

x = 44.75 * 3.1 / 1.65

x = 138.725 / 1.65

building height = 84.076 meters

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I think I'm not that sure

Answer:

h = 0

Step-by-step explanation:

Ok, I got you.

To begin, everyone knows that y = mx + b is the equation for any slope-intercept form problem.

y = the y - value of a point

m = the slope

x = the x - value of a point

b = the y - intercept (or where the line starts)

So, you are given the slope, and you're given the y - value. But, you don't have the x - value in the second point.

That mean's you're going to have to use the first point, because you're given both the x and y values, to find the y - intercept.

Simply, plug in the y and x values where they belong.

2 = 6 (-1) + b

(Remember the 6 is the slope)

Now, solve for b.

2 = -6 + b

8 = b

Now, you know the y - intercept.

So, you can find the value of h in the second point. Since you don't know the x - value, plug in what you do know and solve for y.

So...

8 = 6 (x) + 8

(Remember 6 is the slope and 8 is the y - intercept)

Now, solve for x.

8 = 6x + 8

0 = 6x

0 = x

The value of h is 0.

I hope this helps :)

Answer:

Yoshi applied the rules of signed numbers incorrectly

Step-by-step explanation:

When you multiply 2 negatives, you get a positive.

The names for the radius of the circle with center F are FA, FC, EF, BF, DF

The radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary.

Given that, circle with center at point F. Points A, B, C, D and E are on the circle. Line segments FA, FC, AFC, EF, BF, EFB, DF and AB are drawn.

Since, the radius is the distance from center to a point on the circumference,

Therefore, FA, FC, EF, BF, DF are showing the distance from center to a point on the circumference,

Hence, the names for the radius of the circle with center F are FA, FC, EF, BF, DF

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8x^5 y^8 z^9 ur welcome

Answer:

\(64x^6y^{12}z^{14}\)

Step-by-step explanation:

\(\left(8x^3y^6z^7\right)^2\)

\(\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n\)

\(\left(8x^3y^6z^7\right)^2=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2\)

\(=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2\)

\(8^2=64\)

\(=64\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2\)

\(=64x^6\left(y^6\right)^2\left(z^7\right)^2\)

\(=64x^6y^{12}\left(z^7\right)^2\)

\(=64x^6y^{12}z^{14}\)

~lenvy~

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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The best graphical representation to display the data on the GPA of 318 students at East River High School would be a histogram.

A histogram is a graphical representation of data that groups data into bins or intervals and displays the frequency of occurrences of data within each bin. In this case, the bins would represent GPA ranges, and the frequency would represent the number of students falling within each GPA range.

A histogram is a good choice for displaying this data because it allows the viewer to see the distribution of GPA scores across the student population. It provides a visual representation of how many students fall within certain GPA ranges and can help identify trends in the data.

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Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

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Answer:

well i think the answer is 5 I'm not sure

The probability that all four people are Democrats is 0.0079 or 0.79%.

There are a add up to 9 individuals within the bunch, so the whole number of ways to choose 4 individuals from the gather is:

${9 choose 4} = frac{9!}{4!5!} = 126$

In the event that we want to choose as it were democrats, we are able to select all 4 from the 4 democrats within the bunch, so the number of ways to do this typically :

${4 select 4} = 1$

Subsequently, the likelihood that all four individuals chosen are Democrats is:

$P(text{4 democrats}) = frac{text{number of ways to choose 4 democrats}}{text{total number of ways to choose 4 individuals}} = frac{1}{126} approx 0.0079$

So the likelihood is roughly 0.0079 or 0.79%.

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