Find output, y when the input, x, is -3 Y=

Answer:

Step-by-step explanation:

The three consecutive integers are 111 113 and 115

The magnitude and direction of PQ will be,\(\rm \sqrt{45}\) toward the positive x axis.

A vector is a quantity with magnitude, and direction that follows the law of vector addition.

The distance formula can be given as:

\(\rm d=\sqrt{(4-(-2))^2+(-2-(-3)^2} \\\\\ d = \sqrt{36+ 9} \\\\ d=\sqrt{45}\)

Hence,the magnitude and direction of PQ will be,\(\rm \sqrt{45}\) toward the positive x axis.

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Let's denote the amount of the metal containing 20% nickel that needs to be combined as 'x' pounds.

The amount of nickel in the metal containing 20% nickel is 20% of 'x', which can be expressed as 0.2x pounds.

The amount of nickel in the metal containing 80% nickel is 80% of 6 pounds, which can be expressed as 0.8 * 6 = 4.8 pounds.

To form an alloy containing 60% nickel, the total amount of nickel in the alloy should be the sum of the nickel amounts in each metal. Therefore, we can set up the equation:

0.2x + 4.8 = 0.6(x + 6)

Simplifying and solving for 'x':

0.2x + 4.8 = 0.6x + 3.6

0.2x - 0.6x = 3.6 - 4.8

-0.4x = -1.2

x = -1.2 / -0.4

x = 3

Therefore, 3 pounds of the metal containing 20% nickel must be combined with 6 pounds of the metal containing 80% nickel to form an alloy containing 60% nickel.

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The equation y = 3/4x describes the relationship

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

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The total distance the ball travels from the baseball player´s bat to the bird is 32.9 ft

From the question, we have the following parameters that can be used in our computation:

The figure

Start by calculating the distance (d1) from the baseball player to the ground using the following Pythagoras theorem

d1 = √(8² + 15²)

d1 = 17

Next, we calculate the distance from the ground to the bird using

d2 = 10/cos(51)

d2 = 15.9

Add these distances

d = 17 + 15.9

d = 32.9

Hence, the distance is 32.9 ft

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Answer:

x^2 -4x -21

Step-by-step explanation:

Here, we want to write a quadratic polynomial

We have the sum as -4

Let us have x as the variable

so the sum of the variables is -4x

while the product is -21 x^2

Two factors of 21 that can work here is -7x and 3x

So we have

x^2 - 7x + 3x -21

= x^2 -4x -21

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

12 + 6 + 2

20

\(\frac{6}{20}= \frac{6/2}{20/2}=\frac{3}{10}\)

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

The graph shows the relationship between the number of students who attend a homecoming dance and the amount of money raised. The graph is a straight line with a slope of $10, passing through the point (0, $80) and another point on the line. The fixed cost for decorations is $80, which is a constant cost that does not depend on the number of students attending the dance. For each additional student that attends the dance, the amount of money raised will increase by $10.

Answer:

y = 10x - 80

Therefore your answer is B, hope this helps! :)

the television station can show 10 45-second commercials per hour.

To convert hours into minutes, you simply multiply the number of hours by 60, since there are 60 minutes in an hour.

So, if you want to convert 3 hours into minutes, you would do:

3 hours x 60 minutes/hour = 180 minutes

Therefore, 3 hours is equivalent to 180 minutes.

There are 60 minutes in an hour, and 7 1/2 minutes is equal to 7.5 minutes.

So, the television station shows commercials for 7.5 minutes per hour.

We can convert 45 seconds to minutes by dividing it by 60:

45 seconds ÷ 60 = 0.75 minutes

To find out how many 45-second commercials the television station can show per hour, we can divide the total number of minutes of commercials by the length of each commercial:

7.5 minutes ÷ 0.75 minutes/commercial = 10 commercials

Therefore, the television station can show 10 45-second commercials per hour.

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Answer:

A) y=x+4 b) $12

Step-by-step explanation:

As shown on the graph,

A) select two typical coordinates

{Two points define a straight line}

(12,6) (16,20)

the slope = 20/16-16/12= 4/4=1

y=x+4

b) when x=8

y=8+4=12

Answer:

BC = 7

Step-by-step explanation:

AB + BC = AC

39 + BC = 46

       BC = 46 - 39

       BC = 7

Answer:

They would be 11 feet apart.

Step-by-step explanation:

Given equation:

14-3

= 11

They would be 11 feet apart.

Answer:

A triangle with angles:

"45°, 45°, 90°"

Is a triangle rectangle, with two catheti of equal length.

Now, there is a lot of problems that you can solve with this:

"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"

Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)

And because the catheti are equal, then the angles are 45°, 45° and 90°.

Answer:

353340 + x + 33

Step-by-step explanation:

real life sum situation

Answer:

C

=

(

a

,

b

)

the center coordinates of circle

a

=

2

 ,

b

=

−

1

  ,

r

=

8

Step-by-step explanation:

Answer:

2

Explanation:

In short terms, there are two numbers that are reciprocals of themselves, 1 and -1.  According to euler's identity, e^(-i*2*pi) is a reciprocal of itself, but I believe that is beyond the scope of this question.

Answer:

x+5

Step-by-step explanation:

I thought what 2 numbers if multiplied made 15

also 2x+3 already has a 3

so I'm guessing 3 and 5

then I put them next to each other

(2x+3) ( +5)

I put a x in the second parenthesis as a guess because the area had a 2x^2 in it . that could only happen with 2x * x

so (2x+3) (x+5)

Answer:

C

Step-by-step explanation:

The values are not vectors so ST/SR should be 3

Answer:

all real numbers

Step-by-step explanation:

-(2x + 4) + x = 3x − 4x − 4

Distribute the negative sign on the left side. It is the same as having a -1 to the left of the parentheses.

-1(2x + 4) + x = 3x − 4x − 4

-2x - 4 + x = 3x - 4x - 4

Combine like terms on the left side. Combine like terms on the right side.

-x - 4 = -x - 4

Add 4 to both sides.

-x = -x

Add x to both sides.

0 = 0

You end up with a true equation. Therefore, there is an infinite number of solutions. Every real number is a solution.

Answer: all real numbers

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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Answer:

The answer is B, or [0,oo)

Step-by-step explanation:

Answer:

3=-2x-14+5x+12-8x

3+14-12=-2x+5x-8x

5=-5x

x=(-1)

Answer:

In the audience, there are 90 adults and 54 children

Step-by-step explanation:

If we have 5 adults for every 3 children, we would continue this pattern by saying we have 10 adults for every 6 children, 15 adults for every 9 children, and so on.

We can express this situation into an equation by saying 5x + 3x = 144

8x = 144

x = 18

So now we know there are 5(18) = 90 adults for every 3(18) = 54 children

In the audience, there are 90 adults and 54 children

Answer:

In the audience, there are 90 adults and 54 children

Step-by-step explanation:

I hope this helps ♡

The statement that must be true is: "The center of the data is between 4 and 5 grams."

Based on the given information, the statement that must be true is: "The center of the data is between 4 and 5 grams."

Since the number of crystals is not given for each mass category, the number of crystals cannot be used to determine the true statement. However, the given data points can be analyzed as thus:

0-1 2-3 4-5 6-7 8-9

From this, it is observe that the range of the data is from 0-9 grams, and the center of the data is between the 4-5 gram category. This means that the mean of the data is likely to be closer to 4.5 grams. The statement about the mean being 4.5 grams is plausible based on the given information.

The given data does not indicate whether the largest crystal has a mass of 9 grams or if the data is skewed right, so we cannot conclude that these statements are true based on the given information.

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Answer:

8

Step-by-step explanation:

Use the distributive property to get 6x+120=168. then minus 120 from 168 and get 48 then divide by 6 and get 8

Answer:

\( \huge{ \bold{ \boxed{ \tt{x = 8}}}}\)

Step-by-step explanation:

\( \text{6(x + 20) = 168}\)

\( \text{Step \: 1 : \: Distribute \: 6 \: through \: the \: parentheses}\)

\( \text{⇢ \: 6x + 120 = 168 }\)

\( \text{Step \: 2 : \: Move \: 120 \: to \: right \: hand \: side \: and \: change \: its \: sign.}\)

\( \text{⇢ \: 6x = 168 - 120}\)

\( \text{Step \: 3 : \: Subtract \: 120 \: from \: 168}\)

\( \text{⇢ \: 6x = 48}\)

\( \text{Step \: 4 : \: Divide \: both \: sides \: by \: 6}\)

\( \text{ \: ⇢ \: 6x \: / \: 6 \: = \: 48 \: / \: 6}\)

⇢ \(\boxed{ \text{ x = 8}}\)

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

The  equation she will use to determine how much money she'll have after 2 years is: A = 49,000*(1+0.153/12)^(2*12).

After 2 years she'll have $70,960.36.

The formula for compound interest is: A = P * (1 + r/n)^(n*t).  In the formula, we convert the annual interest rate to a monthly rate by dividing it by 12 (the number of months in a year), and we multiply the number of years by 12 to get the number of months.

Using this formula, we can calculate how much money Lara will have after 2 years:

A = 49000 * (1 + 0.153/12)^(12*2)

A = $70,960.36

Therefore, Lara will have $70,960.36 after 2 years of compounding her investment monthly at 15.3%.

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Answer:

H maybe or F

Step-by-step explanation:

The Time taken by Jacob to run the dash race is (80 - t) seconds

We are told that;

Total distance for the dash race = 500 yards

Time taken by Jacob to run the dash race = 80 seconds

Now, we are told that Juan ran the same dash race but used t less seconds than Jacob. Thus;

Time taken by Jacob to run the dash race = (80 - t) seconds

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Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi r^3}{3}\)

Applying implicit differentiation, the rate of change is of:

\(\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}\)

In this problem, we have that \(\frac{dr}{dt} = 0.5, r = 17\), thus:

\(\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84\)

The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

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