8x+2y/z, where x=1/2, y = 4, and z = 2
I need this quick please! 40 points!

The distance traveled during the time interval 0 ≤ t ≤ 10  is 500 m.

To find the distance traveled by a particle with a given acceleration function and initial velocity, we need to first find the velocity function and then integrate it to get the position function.

The velocity function, v(t), is obtained by integrating the acceleration function:

where C is the constant of integration. To determine the value of C, we use the initial velocity, v(0) = 5:

Solving for C, we find that C = 5. Therefore, the velocity function is:

Next, we integrate the velocity function to find the position function, x(t):

where D is another constant of integration. To determine the value of D, we need an initial position, x(0). If the initial position is not given, we assume that x(0) = 0:

Solving for D, we find that D = 0. Therefore, the position function is:

Finally, to find the distance traveled during the time interval 0 ≤ t ≤ 10, we evaluate the position function at t = 10 and subtract the position at t = 0:

So, the distance traveled during the time interval 0 ≤ t ≤ 10 is 500 m.

Therefore, the distance traveled during the time interval is 500 m.

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Answer:

4x=4

Step-by-step explanation:

Answer:

the answer is (B) 10.

Step-by-step explanation:

To find the maximum possible number of spools that can be taken from the box without having at least 2 spools of each color, we need to find the maximum number of spools that can be taken without taking 2 spools of any one color.

The worst-case scenario is if we take all but one spool of one color, leaving only one spool of that color in the box. Then we can take all the spools of the other two colors, and one more spool of the first color, without having at least 2 spools of any one color.

So the maximum possible number of spools that can be taken is:

4 (red) + 5 (white) + 1 (green) = 10

Therefore, the answer is (B) 10.

Answer: 80

Step-by-step explanation:

Answer: The correct answer is 80

Step-by-step explanation:

in parentheses 3x4 = 12 - 4 = 8

6 + 4 = 10

10 x 8 = 80

SOLUTION

Using the properties of similarity of two triangles

For triangle BCA, let B be the given angle, the opposite is |AC|, Hypotenues is |AB| and Adjacent is |BC|

For triangle BCD, B is the given angle, The opposite is |CD|=h, the hypotenuse is |CB| and Adjacent is |BD|

Comparing the ratios of the side, we have

Answer:

Step-by-step explanation:

you can think of it backwards,

-50 = 3x - 8y

x = 6y

X x 3 = 3x

6y x 3 = 18y

3x = 18y

18y - 8y = -50

10y = -50

y = -5

6 x -5 = -30

x = -30

Answer:

It would be 28.5. First, you would find the area of the smaller triangle by using the formula a=.5bh (area=.5xbasexheight) and then when you get that, you should get 6. Then, you do the same for the larger triangle and you should get 22.5. Then, 22.5 + 6 = 28.5, giving you that answer.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

91

Step-by-step explanation: 7*13 = 91

91/7 = 13

Answer:

x = 71

Step-by-step explanation:

Given the triangle in red, we can find the unknown angle since the sum of the angles of a triangle are 180.  Call the unknown angle GHI

B+ D+ GHI = 180

31+ 40 + GHI = 180

71 + GHI = 180

GHI = 180 -71

GHI = 109

We know that GHI + x = 180 since it forms a straight line

GHI + x =180

109 + x = 180

x = 180-109

x = 71

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

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Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

-11

Step-by-step explanation:

Notice how

\(f(x)=x^{2} +8x+1\)

So when we have

\(f(-6)=(-6)^{2} +8(-6)+1= 36-48+1=-11\)

The answer is:

f(-6) = -11

Step-by-step explanation:

Plug in -6 for x:

\(\sf{f(x)=x^2+8x+1}\)

\(\sf{f(-6)=(-6)^2+8(-6)+1}\)

Simplify this:

\(\sf{f(-6)=36-48+1}\)

\(\sf{f(-6)=-12+1}\)

\(\sf{f(-6)=-11}\)

The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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Answer:

A- Mother Nature

Step-by-step explanation:

Mother Nature= $.40 per pound

That is better than all others

Answer:

x=14

y=10

AD=19

CD=19

Step-by-step explanation:

x:

5x-6=64

   +6   +6

5x=70

x=14

y:

3y-11=y+9

   +11    +11

3y=y+20

-y   -y

2y=20

y=10

AD:

3y-11

3(10)-11

30-11

19

CD:

y+9

(10)+9

19

Given:

x+2y = 8

x=2, y=0

Substitute x=2 then find value of x as,

2+2y=8

2y=6

y=3

(x,y) = (0,3)

Now, substitute y=0 then find value of y as,

x+2(0)=8

x=8

(x,y) = (8,0)

It is given that P = x+3y

(x,y) = (0,3) then P= 0+3x3

P=9

The maximum valu P=9 and vertiex (0,3)

(x,y) = (8,0) then P=8+0= 8

The mininmum val

Answer:

the answer is a

Answer:

1/360

Step-by-step explanation:

a full turn is 360 degrees, so 1 degree is 1/360

Answer:

In this context, unique means existence of only one value for that element and no more than one value

Step-by-step explanation:

Answer:

Vertical angles are angles opposite of each other. hope it helps

Answer:

8.0 × 10^-3 ÷ 4.0 × 10^4

= 2.0 × 10^-3-4

= 2.0 × 10^-7

or 0.0000002

Answer:

57905.8

Step-by-step explanation:

Plug in:

V = 4/3 * 24³π

= 4/3 * 13824π

= 18432π

= 57905.83579cm³

Rounded to nearest tenth:

57905.8

Answer: 18,432

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

Answer:

I would say No

Step-by-step explanation:

For a sample to be valid it needs to be random, and when doing every 40th student then its not random anymore, also when your doing every 40th student, to even have enough date their would have to be about 500 kids therefore it's not valid I feel.

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

On solving the provided question, we can say that coordinates are (-2,2) and (0,-2), inequality equation will be => y\(\leq\) -2x + 2

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

as here,

coordinates are (-2,2) and (0,-2)

inequality equation will be

y\(\leq\) -2x + 2

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Answer:

- 72 - 48i

Step-by-step explanation:

note that i² = - 1

(6i)(- 2i)(- 6 - 4i)

= - 12i²(- 6 - 4i)

= - 12(- 1)(- 6 - 4i)

= 12(- 6 - 4i) ← distribute parenthesis by 12

= - 72 - 48i