which of the following inequalities matches the graph (1 point)
A. 2x+y=7

B. 21-y>

C. 2x-ya-7

D.The correct inequality is not listed

a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

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Answer:

the exponent is 6............

Answer:

ummmm..... let's see..

Step-by-step explanation:

using "Almighty formula"

{Y = –x +/– √b^2 – 4ac / 2a}

so we name all the values behind the coefficients which are; –1^2, 8 and 11

so let's assign a,b,c to these values:

a =–1, b =8, c = 11

all you just do now is to add these values to the formula

you should be having Y =1 +/– √8^2 – 4×–1×11

———————————

2×–1

Y =1 +108

———— or Y = 1–108

–2 –––––

–2

now add and divide to get Y.

(your answer will be two)

Answer:

1. (7, 0)

2. (11, 3)

4. (−1, −6)

These are correct

Answer:

8

I hope this helps!

Answer:

The number 8.

Step-by-step explanation:

The digit in the tenths place is 8. The tenth place is the first digit on the right side of a decimal point. 0.831

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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Answer:

(4,8)

Step-by-step explanation:

The solution is where the two lines intersect.

The graphs intersect at x=4 and y = 8

(4,8)

Answer:    B: (4,8)

Step-by-step explanation:

y = 3x +2           you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.

y = -6x + 32

you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1

Answer:

B. 2w^2 + 2w + 36

Step-by-step explanation:

The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.

Applying this logic to this problem, the equation would be as follows:

\(w^{2} + 13 + w^{2} + 13 + w+5+w+5\)

Then, we simplify. The like terms go together, and you have your solution.

\(2w^{2} + 2w+36\)

Answer:

half of 8 is 4

so 4 is your radius

4^4 = 16

16 x 3.14 = 50.24 in2 is your area.

Answer:

285

Step-by-step explanation:

B+A=360, B=360-75=285

An angle whose measure is greater than 180° but less than 360° is termed a reflex angle.

\(\large{\textrm{{{\color{navy}{∠A \: + \: ∠B \: = \: 360°}}}}}\)

\( \bf \large \longrightarrow \: \:75 \degree \: + \: ∠ B \: = \: 360°\)

\( \bf \large \longrightarrow \: \: \angle B \: = \: 360° \: - \: 75 \degree\)

\( \bf \large \longrightarrow \: \: \angle B \: = \:285 \degree\)

Answer:

The answer for radius is 13cm

Step-by-step explanation:

Area of semi circle=1/2pir²

308=1/2×22/7×r²

308=22r²/14

22r²=4312

divide both sides by 22

22r²/22=4312/22

r²=196

take the square root of both sides

√r²=√196

r=14cm

The shortest lifespan will last less than 2.5 years.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

First, we must utilize the conventional normal table to determine the value for z if 10% of the region (probability) to its left will be present. We can observe that about z = -1.282.

Now, we have to find the value of x, that corresponds to the value of z.

Since,

(x - μ) / σ = z

(x - 3.1) / 0.5 = -1.282

                 x = 2.459

Hence, the shortest lifespan will last less than 2.5 years.

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Answer:

$900

Step-by-step explanation:

f= farm charge

c= cost per child

t= total cost

f+30c=t

300+30(20)=t

300+600=t

900=t

Answer:

23

Step-by-step explanation:

AB and BC are tangent to circle P, which means that both lines are congruent. Set AB and CB equal to each other:
2x-7=5x-52
3x=45
x=15
Plug 15 into AB:
2(15)-7 = 23
Length of AB is 23.

Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

The ratio would be 65:1 since they mow 65 lawns in 1 hour. I hope this helps! :)

Answer:

No solution.

Step-by-step explanation:

y + 3x - 4y = 0 + 0.75x

- 3y + 3x = 0 + 0.75x

- 3y + 3x - 0.75x = 0 + 0.75x - 0.75x

- 3y + 2.25x = 0

Answer:

1024

Step-by-step explanation:

4x4= 16

8x8= 64

sqrt4 x sqrt8

The square root of 4 is 2.

The square root of 8 is 2.83.

2x2.83=5.66

hope it helps!

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.

Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.

Substituting the vertex coordinates, we get:

f(h) = a(h-h)^2 + k

f(h) = k

Substituting the coordinates of the other point, we get:

f(x1) = a(x1-h)^2 + k

Now, we have two equations:

k = a(0)^2 + k

y1 = a(x1-h)^2 + k

From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.

From the second equation, we can solve for a:

y1 - k = a(x1-h)^2

a = (y1 - k) / (x1-h)^2

Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:

f(x) = a(x-h)^2 + k

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Applying the inscribed angle theorem, the measure of angle A in the given circle where X is the center is: C. 95°.

The inscribed angle theorem states that if there is a circle and a chord within that circle, any angle formed by connecting the endpoints of the chord to any point on the circle's circumference will be half the measure of the arc intercepted by that angle.

Therefore, we have:

m<A = 1/2(m(DC) + m(BC))

Substitute:

m<A = 1/2(112 + (180 - 2(51)))

m<A = 1/2(190)

m<A = 95°

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Answer:260

Step-by-step explanation:

Answer:

$260

Step-by-step explanation:

$164 + $95 = $259

When rounding of to the nearest 10 your last number must be over 5 and here we have 9 so the final answer will be $260

Expected Value (EV) is the expected outcome of a random variable in a particular trial.

The expected value of going for 1 or 2 when a football team scores a touchdown to pull within 8 points is as follows:

Going for 1: The expected value of going for 1 is calculated by using the probabilities of scoring 1 or 0 and multiplying it by the number of points earned for each outcome.

Let's assume that the probability of scoring 1 is p and the probability of scoring 0 is 1-p.

Therefore, the expected value of going for 1 can be calculated as follows:EV of going for 1 = p × 1 + (1-p) × 0 = p

The probability of making a 1-point conversion is around 94 percent, while the probability of failing is around 6 percent, or 0.06.

Hence, the expected value of going for 1 is: EV of going for 1 = 0.94 x 1 + 0.06 x 0 = 0.94 or 0.94.

Going for 2: Let's assume that the probability of scoring 2 is p and the probability of scoring 0 is 1-p.

Therefore, the expected value of going for 2 can be calculated as follows:EV of going for 2 = p × 2 + (1-p) × 0 = 2p

The probability of converting a 2-point conversion is around 47%, or 0.47, while the probability of failing is around 53%, or 0.53.

Therefore, the expected value of going for 2 is: EV of going for 2 = 0.47 x 2 + 0.53 x 0 = 0.94 or 0.94.

Given the answers to the previous two questions, if the trailing team scores a touchdown to pull within 8 points, they should go for 2 points. The expected value of going for 2 is 0.94, which is greater than the expected value of going for 1, which is 0.94.

Therefore, going for 2 points gives the team the highest expected value of points.

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The function rule for a quadrilateral that is rotated 180 degrees, translated four units to the left, and then reflected across the y axis is (x, y) ⇒ (x + 4, -y)

Transformation is the movement of a plane figure from one point to another. Transformation may also be an increase / decrease in the size of the figure. Examples of transformation are reflection, rotation, translation and dilation.

Dilation is the increase or decrease in size of a figure by a scale factor.

The function rule for a quadrilateral that is rotated 180 degrees, translated four units to the left, and then reflected across the y axis is (x, y) ⇒ (x + 4, -y)

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