A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?

The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).

To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:

(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.

In this case, θ = 90 degrees, so we have:

(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)

        = (-6, -4)

Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).

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Answer:

Es una pregunta doble, calcule una y grafíquela, calcule la otra y grafíquela, ps: dame lo más inteligente.

The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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Answer:  $323.33

Step-by-step explanation:

($17,000 + $4,900 - $2,500) ÷ 60 months = $323.33 per month

    ↓                ↓              ↓

 price        finance      down payment

The required two column proof is explained below.

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

Answer:

429

Step-by-step explanation:

Answer:

Step-by-step explanation:

The objective is to  Show that if the set of images {T(v1)......T(vp)} is linearly dependent, then {v1......vp} is linearly dependent.

Given that:

\(\mathbf{[T(v_1) +T(v_2) ...T(v_p)]}\) is linearly dependent set

Thus; there exists scalars \(\mathbf{k_1 , k_2 ... k_p}\) ; ( read as "such that")  \(\mathbf{k_1 T(v_1) +k_2T(v_2) ...k_pT(v_p)=0}\)

\(\mathbf{= T(k_1 v_1 +k_2v_2 ...k_pv_p)=0}\)

T = 0                                  (for the fact that T is linear transformation)

\(\mathbf{k_1 v_1 +k_2v_2 ...k_pv_p=0}\)     (due to T is one-one)

NOTE: Not all Ki's are zero;

Thus;

\(\mathbf{[v_1,v_2 ...v_p] }\)  is linearly dependent

It negation also illustrates that :

If \(\mathbf{[v_1,v_2 ...v_p]}\) is also linearly independent then \(\mathbf{[T(v_1),T(v_2) ...T(v_p)]}\) is also linearly independent.

Answer:

2nd Number Line.

Step-by-step explanation:

-6 is going to be left of 0 on the number line.

The opposite of -6, or the absolute value of 6, is 6 (positive).

6 is going to be right of 0 on the number line.

Answer: number line number 2

Step-by-step explanation:

Answer:

4,5,6

Step-by-step explanation:

A midsegment connects two midpoints, and this triangle would be made up of all midsegments.  If we know that midsegments are half of the side length, then we can get our answer.

Answer:

7

Step-by-step explanation:

7y + 15 - 7y - 8

15 - 8

7

Answer:

7

Step-by-step explanation:

Answer: 6 5/7

Step-by-step explanation:

Step-by-step explanation:

F -2,4

E -2,-2

G 4,-4

is the answer

Answer:

f -2,4

e -2,-2

g 4,-4

Step-by-step explanation:

Using cluster estimation, the team's finishing time is 188 seconds.

We are given that the Team's average time is 47 seconds which means all players finishes in 47 seconds.

The Cluster Estimation means a method used to estimate sum & product when the numbers that we are adding or multiplying cluster near to a same number .

Here, all given time cluster near to the average time i.e., 47 seconds.

So, the team's finishing time will be:

= 47 + 47 + 47 + 47

= 4 × 47

= 188 seconds

Therefore, the team's finishing time is 188 seconds.

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The number of hours that James have to work each week will be 25 hours.

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.

In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.

The number of hours that James have to work each week will be:

= 5(38) - 3(15 - 4)

= 5(38) - 3(11)

= 5(38 - 33)

= 5 × 5

= 25 hours

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Answer:

3 weeks 5 days

Step-by-step explanation:

A week is 7 days

26/7 = 3 remainder 5

3 weeks 5 days

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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Answer:

Domain: [-8. 4]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

From the graph, we can see that our x-values span from -8 to 4. Since both are closed dot, they are inclusive in the domain:

[-8. 4] or -8 ≤ x ≤ 4

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Therefore, linear equation  Boeing 747-8 Global Aircraft will not be able to fly nonstop for 16 hours between Los Angeles and Melbourne using the information provided.

A linear regression model is one that uses the equation y=mx+b. The inclination is B, and the y-intercept is m. Even though y and y are separate parts, the preceding phrase is commonly referred to as a "mathematical equation with two variables." The only factors in bivariate linear equations are two. There are never any answers to the application areas of linear equations. Y=mx+b.

Here,

We must first establish the amount of fuel usage in order to apply a linear equation to predict how much jet fuel will be left after eighteen hours of flight.

The graph shows that the fuel is consumed at a pace of about 4,000 gallons every hour.

Using this rate, we can forecast how much fuel the aircraft will have left over after 18 hours of flight:

Gasoline left over: 63,500 - (4,000 x 18)

Gasoline left: 63,500 to 72,000

Gasoline left over: -8,500

But we are aware that the fuel that is still present cannot be bad. This indicates that the aircraft will require refuelling before finishing its 18-hour journey.

The Boeing 747-8 Global Aircraft will not be able to fly nonstop for 16 hours between Los Angeles and Melbourne using the information provided.

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Answer: Options B and D.

Step-by-step explanation:

We start with the equation:

(-2 3/7)*(-6/11)

now, you need to recall the signs relations:

(+)*(+) = +

(-)*(+) = -

(-)*(-) = +

Then our initial equation has a positive sign.

a)  (3/8)*(-6/7) here we have (+)*(-), so this is negative, this option is not correct.

b) (1 2/9)*(2 16/17) here we have (+)*(+), so this is positive, this option is correct.

c)  (-9/20)*(3 4/5) here we have (-)*(+), so this is negative, this option is not correct.

d) (-1/3)*(-2/3) here we have (-)*(-), so this is positive, then this option is correct.

Answer:

The awnser is B and D

Step-by-step explanation:

Answer:

Step-by-step explanation:

First divide 6 from the left size so it gets cancelled.

Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6

Which becomes (t + 12) = 19

Now, (t + 12) - 12 = 19

Therefore, t = 19 - 12

Answer: t = 7

(whatever you do to one side, most be done to the other side too).

To check,

6(t+12)=114

6(7+12)=114

Solve brackets first, 6(19)=114

114=114

The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

As per the given data:

To apply distributive property in  6 (t + 12) = 114

Distributive property: A (B + C) = A × B + A × C

Now for, 6 (t + 12) = 114

First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:

6 × t + 6 × 12 = 114

6t + 72 = 114

6t = 114 - 72

6t = 42

t = (42/6) = 7

Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

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Answer:

36+2.67

Step-by-step explanation:

I hope this is correct

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

Answer:

A

Step-by-step explanation:

The table shows that more Republicans and Democrats do not support the law than do support the law