please help!! performance task: vector operations

Draw u - v + w.

Range of the function is the set {-6.5, -5, -2}.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Domain of the function is the input values of the function and Range of the function is the output values.

Given function is,

F(x) = 3/4 x - 5

Domain of the function is -2, 0 and 4.

F(-2) = (3/4 × -2) - 5 = -13/2 = -6.5

F(0) = (3/4 × 0) - 5 = 0 - 5 = -5

F(4) = (3/4 × 4) - 5 = 3 - 5 = -2

Range = {-6.5, -5, -2}

Hence the required range of the given function is {-6.5, -5, -2}.

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In metric system length measured by using kilometres, milimter and miles etc. Thus, the conversion of 2.25 inches to mili meters is equals to the 57.15 mm.

Inches (also called in. ) is a unit of measurement used in US customer measurement systems. It is also part of the imperial measurement system. A millimeter (abbreviation mm) is a unit of measurement in the metric system. Like the inch, it is used to measure the length of an object, especially small ones. "Millimetre" is the US spelling, while in the UK it is spelled "millimetre". To convert from one measurement unit to another, multiply by the conversion factor. Formula to convert inches to millimeters, [X] mm = 25.4 × [Y] in ---(1)

We need to convert 2.25 inches to millimeters. So using the formula, millimeter = 25.4 × 2.25 inches

= 57.15

Hence, required value is 57.15 mm.

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Answer:

x = -2 | y = -6
x = 1 | y = 6
x = 2 | y = 10

Step-by-step explanation:

Answer:

1000 millions are in a billion

Step-by-step explanation:

1 million can be written as 1000000 (6 zeros)

1 billion can be written as 1000000000 (9 zeros)

the difference in the zeros is three and 1000 has three zeros so we can say,

1000000 x 1000 = 1000000000

their zeros are basically added together.

Rounding up to the nearest whole number, the quarterback throws 3 passes in the fourth quarter to complete all of them.

Let's first find out how many passes the quarterback completed in the first three quarters:

18 passes completed out of 33 attempts in the first three quarters

= 18/33 = 0.545 (rounded to three decimal places)

We can then find the total number of passes attempted in the first three quarters by using the fact that the completion rate is the number of completions divided by the number of attempts:

0.545 = 18/x, where x is the total number of attempts in the first three quarters

Solving for x, we get:

x = 18/0.545 = 33

So the quarterback attempted 33 passes in the first three quarters.

Next, we can find the total number of passes attempted in the game by using the completion rate for the entire game:

0.625 = (18 + passes completed in the fourth quarter) / (33 + passes attempted in the fourth quarter)

Multiplying both sides by the denominator:

0.625 × (33 + passes attempted in the fourth quarter) = 18 + passes completed in the fourth quarter

20.625 + 0.625 × passes attempted in the fourth quarter = 18 + passes completed in the fourth quarter

Subtracting 18 and 0.625 × passes attempted in the fourth quarter from both sides, we get:

2.625 = passes completed in the fourth quarter - 0.625 × passes attempted in the fourth quarter

Adding 0.625 × passes attempted in the fourth quarter to both sides, we get:

passes completed in the fourth quarter = 2.625 + 0.625 × passes attempted in the fourth quarter

We don't know the exact number of passes attempted in the fourth quarter, but we can see that for every 1 pass attempted, the quarterback completes 0.625 - 0.545 = 0.08 more passes than in the first three quarters. So to complete all of his passes in the fourth quarter, he needs to attempt:

0.08 × x = 0.08 × 33 = 2.64

Question - A quarterback completes 18 of 33 passes during first three quarters of a football game. He completes every pass in the fourth quarter and 62.5% of his passes for the entire game. How many passes does the quarterback throw in fourth quarter?

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Answer:

The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.

option c is correct

Answer:

The transformation of stretching the function vertically by a factor of 4 means that every y-value of f(x) is multiplied by 4, so the new function is:g(x) = 4sin(x)The transformation of shifting the function downward by 3 units means that the entire graph is shifted downward by 3 units, so we subtract 3 from the y-value of g(x), giving:g(x) = 4sin(x) - 3Therefore, the equation of the new function g(x) is g(x) = 4sin(x) - 3

Step-by-step explanation: hope this helps0^0

The Coordinates after dilation of 1.5 about the origin is

F'(1.5, -1.5)

G'(0, 3)

H'(1.5, 3)

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.

Given:

We have the Coordinates F(1, -1), G(0, 2), H(1, 2).

As, the Dilation Rule for point (x, y) about origin with scale factor h

h(x, y)------>(hx, hy)

Applying the Dilation Rule we get

F(1, -1)-----> 1.5 F'(1, -1)-----> F'(1.5, -1.5)

G(0, 2)-----> 1.5 G'(0, 2)-----> G'(0, 3)

H(1, 2) -----> 1.5 H'(1, 2)-----> H'(1.5, 3)

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Answer:

C) b x 1

Step-by-step explanation:

For example, if b was 2 then 2 x 1 would be 2 so it would be the biggest value out of all the options.

For D, if b was 6 then b x 1/2 would be 3 so it would be at a low value. Therefore C is the correct answer.

Answer:

(e) It means that your grade is 2 standard deviations above the mean for this exam.

Step-by-step explanation:

Z-score describes the number of standard deviations away from the mean. In this case, a z-score of +2.0 would be 2 standard deviations above the mean.

Answer:

If r = 2 units and h = 13 units, what is the surface area of the cylinder shown above?

Step-by-step explanation:

You're welcome.

Answer: 9

Step-by-step explanation:

First plug in 3 for x.

Then you get 3^2

Now you solve and you get 9. Its the same as saying 3 * 3 = 9.

Answer:

Step-by-step explanation:

4(x + 4) + 2x = 52

4x + 16 + 2x = 52

6x = 52 - 16

6x = 36

x = 36 : 6

x = 6

Answer:

[tex] \sf \: x = 6[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 4(x + 4) + 2x = 52

Then the value of x will be,

→ 4(x + 4) + 2x = 52

→ 4x + 16 + 2x = 52

→ 6x + 16 = 52

→ 6x = 52 - 16

→ 6x = 36

→ x = 36 ÷ 6

→ [ x = 6 ]

Hence, the value of x is 6.

The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.

What is algebraic equation?

If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.

We are given an expression as

3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100

On multiplying, we get

= (3 × 100) + (5 × 10) + (8 × 1)

= 358

Hence, the digits missing from the equation are 100, 10 and 1 respectively.

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We need to add approximately 14.86 mL of water to 14 mL of 14% alcohol solution to reduce the concentration to 7%.

First, let's figure out how much alcohol is in the first 14 mL of the 14% alcohol solution.

Alcohol is equal to 0.14 x 14 (14%) times 14%, or 1.96 mL.

We need to add water so that the amount of alcohol stays the same while the overall volume grows in order to lower the concentration to 7%.

Assume that x mL of water needs to be added.

The volume of the solution will be (14 + x) mL with the addition of x mL of water, while the amount of alcohol will remain at 1.96 mL.

The equation for the ultimate concentration can be written as follows:

1.96 mL / (14 + x) mL = 0.07

When we find x and simplify, we get:

x = (1.96 mL / 0.07) - 14 mL

x ≈ 14.86mL

In order to lower the concentration to 7%, we must therefore add around 14.86 mL of water to 14 mL of 14% alcohol solution.

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The sale price of the shoes is $45.

Your friend bought a new pair of shoes that had a regular price of $75. The regular price is the original or full price of the item before any discounts or promotions are applied.

Your friend said that he got a 40% discount on the shoes. A discount is a reduction in price from the regular price, often as a promotion or incentive to encourage customers to purchase the item. In this case, the discount is 40% of the regular price.

To calculate the sale price of the shoes, we need to subtract the discount amount from the regular price. The discount amount is 40% of $75, which is:

Discount amount = 40% x $75

Discount amount = $30

Now, we can find the sale price by subtracting the discount amount from the regular price:

Sale price = Regular price - Discount amount

Sale price = $75 - $30

Sale price = $45

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Answer: Percent of the jerseys that did not sell is 27% (approx).

Step-by-step explanation: No. of jerseys sold = 225

No. of jerseys not sold =165

Thus, the percentage of jerseys sold = 165/225 *100 = 73.33333%

percentage of jerseys not sold = 100-73.33 = 26.67% =27%

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Answer:

Addition:

7+8=15

8+7=15
Subtration:

15-8=7

15-7=8

Step-by-step explanation:

You just have to include all numbers and make an equation that involves all three digits

The completed square form of the given equation is:

(x + 4)^2 + (y - 3)^2 = 40.

First to complete the square for the given equation:

x^2 + y^2 + 8x - 6y - 15 = 0

We need to group the x and y terms together and add and subtract some constants to make them into perfect squares.

x^2 + 8x + y^2 - 6y = 15

We can add and subtract constants inside the left side of the equation to make it into perfect squares, as follows:

x^2 + 8x + 16 + y^2 - 6y + 9 = 15 + 16 + 9

Now we can rewrite the left side of the equation as a sum of perfect squares:

(x + 4)^2 + (y - 3)^2 = 40

Therefore, the completed square form of the given equation is:

(x + 4)^2 + (y - 3)^2 = 40.

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Answer: there are 8 outcomes

Step-by-step explanation:

1: red wallpaper and purple carpet

2: blue wallpaper and purple carpet

3: yellow wallpaper and purple carpet

4: green wallpaper and purple carpet

5: red wallpaper and yellow carpet

6: blue wallpaper and yellow carpet

7: yellow wallpaper and yellow carpet

8: green wallpaper and yellow carpet

Answer:

ouygghjkjhhhggfdddthjj

40 pounds (lb) is equivalent to 18.14 kilograms (kg). To convert pounds to kilograms, you need to use the conversion factor of 0.45359237 kg per pound.

This means that you can multiply the number of pounds by this conversion factor to get the equivalent weight in kilograms.

The conversion from pounds to kilograms is important when it comes to international trade and travel, where weight measurements are typically done in the metric system. Knowing how to convert between different units of measurement is also useful in scientific and engineering fields, where calculations may require using units from different systems.

It's important to note that weight and mass are not the same thing. Weight is a measure of the force exerted on an object by gravity, while mass is a measure of the amount of matter in an object. The conversion from pounds to kilograms assumes that the force of gravity is constant, but this may not always be the case in different parts of the world.

In summary, 40 pounds is equal to 18.14 kilograms, and knowing how to convert between different units of measurement is an important skill in various fields of study and in everyday life.

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The value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

What does the coordinate geometry distance formula mean?

In coordinate geometry, the distance formula is used to compute the distance between two specified points.

The distance formula is D=

It is used to determine the distance between two locations (x1,y1)(x1,y1)) and (x2,y2)(x2,y2).

Given: Points P and Q are separated by 17 units. The coordinates of point P are (5, 5) and point Q are (-3,y).

Using the distance formula,

PQ = [tex]\sqrt{(x2-x1)^{2} +(y2 - y1)^{2} }[/tex]

17²  = 64 - y² +25 +10y

289-64-25 = - y² + 10y

y² + 10y - 200 = 0

On solving the quadratic equation we get,

y = -20, 10

Therefore, the value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

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The value of pp when qq equals 2 is: 294

If pp is inversely proportional to the square of qq, it means that pp*qq²=k, where k is the constant of proportionality.

Given that pp is 24 when qq is 7, we can find the value of k:

24*7² = k

k = 1176

Now, we can use this value of k to find pp when qq is equal to 2:

pp*2² = 1176

pp*4 = 1176

pp = 1176/4

pp = 294

Therefore, when qq is equal to 2, pp is equal to 294.

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Answer:

Answer: The length of the path would be 35 yds.

Step-by-step explanation:

We can use the formula for the area of a right triangle to find the length of the other leg. Once we know the lengths of both legs, we can use the Pythagorean theorem to find the length of the hypotenuse.

Let's call the length of the shortest side (the leg) "a", and let's call the length of the other side (the other leg) "b". We know that a = 21 yd and the area of the triangle is 294 yd^2. So we can use the formula for the area of a right triangle to solve for b:

area = (1/2) * a * b

294 = (1/2) * 21 * b

b = (2 * 294) / 21

b = 28

Now we know that a = 21 yd and b = 28 yd. We can use the Pythagorean theorem to find the length of the hypotenuse (c):

c^2 = a^2 + b^2

c^2 = 21^2 + 28^2

c^2 = 441 + 784

c^2 = 1225

c = sqrt(1225)

c = 35

Therefore, the length of the path along the longest side of the playground would be 35 yds.

Answer:

35 yards.

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem. Let's call the other leg of the triangle "x" and the length of the hypotenuse (the path the council would like to add) "c". Then we have:

Area of triangle = (1/2) * base * height

294 = (1/2) * 21 * x

x = 28

Now we can use the Pythagorean theorem to find "c":

c^2 = 21^2 + 28^2

c^2 = 441 + 784

c^2 = 1225

c = sqrt(1225)

c = 35

So the length of the path the council would like to add is 35 yards.

The statement that significant figures include only the certain digits of a measurement is False

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

Statement: significant figures include only the certain digits of a measurement

The above statement is false

This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.

The addiitonal uncertain digit implies that the statement is false

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As per the total distance, the distance that Yoni drive on Wednesday is option (c) 5/24 miles.

To find out how far Yoni drove on Wednesday, we must first determine the total distance she drove over the two days.

Tuesday, Yoni drove 1/6 of a mile, which can be expressed as 6/24 of a mile. Wednesday, she drove an additional 9/24 of a mile.

This means that, in total, she drove 15/24 of a mile.

Since we already know that Yoni drove 6/24 of a mile on Tuesday, we can subtract this amount from the total distance she drove over the two days to find out how far she drove on Wednesday.

Subtracting 6/24 of a mile from 15/24 of a mile, we get 9/24 of a mile, which is the distance Yoni drove on Wednesday.

Therefore, Yoni drove 5/24 of a mile on Wednesday

Then the correct option is (c).

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Answer:

$30

Step-by-step explanation:

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

If the ratio is Jake: Kim: Lee, and the amounts are 1: 3: 6, we can use this ratio to solve for the amount of money Lee will get if Kim gets $9 more than Jake:

Well, in order to get this ratio, we need to multiply each number in the original ratio by 5.

Therefore, Kim will get $15, which is $9 more than Jake's amount, which is $5. Lee has $30.

Answer:

410 is the outlier.

What is an outlier?

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal.

In simpler words, it is the number that is significantly bigger or smaller than the rest of the numbers, and 410 is it.

Step-by-step explanation:

Hope it helps! =D

When we transform function f, the resulting transformed function may have certain features that are different from the original function.

⇒ g (x) = - f(x-3) is vertical asymptote of x=3

⇒ j (x) = f(x+3) is x-intercept of (-2,0)

⇒ h (x) = 3f(x) - 3 is domain of (0, ∞)

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given function is;

⇒ f(x) = log x

Hence, we get;

g(x) = -f(x+3)= - log(x+3)

g(x) =-f(x-3) is vertical asymptote of x = 3.

j (x) = f(x+3) = log (x+3)

Then, j(x) = f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞),{x | x>0}

h(x) = 3f(x)-3 is domain of (0, ∞)

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The complete question is shown in figure.