Please help for 50 points

Answer:

I am not sure about this one but I think x = 13.89

Step-by-step explanation:

Have a nice day!

The maximum angle of the incline for the car to be at rest using only friction is 38.7° if, for the car on the incline, the coefficient of static friction is 0.8 and the coefficient of kinetic friction is 0.6.

If the car is at rest on the incline, the force of gravity acting on the car down the incline is balanced by the force of static friction acting up the incline. The maximum angle \($\theta$\) of the incline is the angle at which the force of static friction is at its maximum, which is given by the product of the coefficient of static friction and the normal force.

Let's assume that the mass of the car is m and the incline makes an angle of \($\theta$\) with the horizontal. Then, the force of gravity acting on the car down the incline is given by \($mg\sin(\theta)$\), where g is the acceleration due to gravity. The normal force acting on the car perpendicular to the incline is given by \($mg\cos(\theta)$\).

For the car to be at rest on the incline, the force of static friction acting up the incline must be equal in magnitude to the force of gravity down the incline. Therefore, we have:

\($$\mu_s mg\cos(\theta) = mg\sin(\theta)$$\)

here \($\mu_s$\) is the coefficient of static friction. Simplifying this equation,

we get:

\($$\tan(\theta) \leq \mu_s$$\)

Therefore, the maximum angle \($\theta$\) of the incline is:

\($$\theta \leq \tan^{-1}(\mu_s)$$\)

Substituting the value of \($\mu_s = 0.8$\), we get:

\($$\theta \leq \tan^{-1}(0.8) \approx 38.7^{\circ}$$\)

Therefore, the maximum angle of the incline for the car to be at rest using only friction is approximately 38.7°.

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Answer:

true yes

Step-by-step explanation:

Answer:

D, 18.

Step-by-step explanation:

1. We need to separate any value from x, so we must remove (-2/3) from the left side of the equation and place it on the right by dividing by (-2/3).

-2/3(x) = -12

2. We recognize that the negatives cancel each other out, so it cannot be A or B. Also, remember that dividing by a fraction or decimal will always increase the value of your answer. Therefore, the answer must be 18.

x = -12 times -3/2

x = 36/2

x = 18

The linear equation that shows the relationship between y and x is y = x - 5

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

The slope intercept form of an equation is:

y = mx + b

where m is the rate of change and b is the y intercept.

From the values given, using (1, -4) and (2, -3):

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-(-4)=\frac{-3-(-4)}{2-1} (x-1)\\\\y=x - 1-4\\\\y=x-5\)

The linear equation is y = x - 5

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\(\pi \times d\)

22/7×21.6

=67.88

=70

Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

The treatment sum of squares measures the variability of the sample treatment means around the overall mean.

A mean can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

This ultimately implies that, a mean score is an average score and it can be calculated by dividing the total number of scores obtained by total number of samples in a data set (population).

In ANOVA, the following sum of squares can be used to measure the variation about the mean:

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\(\text {Hey! To solve this problem you must...}\)

\(\text {Simplify the Equation:}\)

\(\text {Multiply (x+8) by 2.}\)

\(\text {x becomes 2x. 8 becomes 16}\)

\(2x+16>x+14 \text { will be your answer once you simplify it.}\)

\(\text {The Next Step is to Subtract x:}\)

\(\text {Q: Why Subtract x instead of adding x?}\)

\(\text {A: We need x to cancel out. So x-x will cancel out each other.}\)

\(\text {Note: In equations like these x-x is another way of saying 1-1.}\)

\(2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}\)

\(\text {The Final Step is to Subtract 16.}\)

\(\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}\) \(\text {That's what we are working towards.}\)

\(x+16-16>14-16\\x>-2 \text { would be your final answer.}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Hey there!

\(2(x+8)>18+x-4\)

In our first step, we will need to simplify the inequality.

\(2x+16>x+14\)

Now we have to subtract x from both sides of the inequality.

\(2x+16-x>x+14-x=x+16>14\\x+16>14\)

In our last step, we will need to subtract 16 from both sides of the inequality.

\(x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}\)

Hope this helps!

\(\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}\)

Answer:

y=10

x=10

Step-by-step explanation:

THis is isosceles triangle

180-90-45=45

used pyagorous therum thingy

10over2= square root of 200

so c2=asquare X b squared in this case x=y

so 200/2 = 100

x=100square

y=100 square

simplify = 10

Answer:

The exact form would be 2/25but in decimal form it is 0.08

Step-by-step explanation:

Note that the Absolute Values of the above numbers will be:

5,4,3,2,1,0,1,2,3,4,5. Since positive values cannot be represented on the Negative spectrum of the Coordinate system, we are left with 0,1,2,3,4,5 which means is represented by 0 ≤ x ≤ 5. See the attached Number Line.

A number line is a graphical representation of numbers on a line, where each point corresponds to a unique real number. It is important for understanding numerical concepts and operations visually.

The absolute value of a number is the distance of the number from zero, regardless of its sign. It is represented as a positive number and is important for understanding the magnitude of a quantity or a distance between two points on a number line.

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Answer:

B) 9

Step-by-step explanation:

rise over run and simplify

To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

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The correct statements are: f may be surjective and f cannot be injective.

1. f may be surjective:

A function is surjective (or onto) if every element in B has a corresponding element in A. It is possible for f to be surjective if multiple elements in A map to the same element in B.

2. f cannot be injective:

A function is injective (or one-to-one) if every element in A maps to a unique element in B. Since |A| > |B|, there must be at least one element in B that has more than one corresponding element in A, so f cannot be injective.

3. f may be injective:

This option is incorrect, as I explained in the previous point.

4. f cannot be surjective:

This option is incorrect, as f may be surjective, as I explained in the first point.

5. f must be surjective:

This option is incorrect, as it depends on how the elements in A map to those in B. It is possible but not guaranteed.

6. f may be injective:

This option is incorrect, as I explained in the second point.

So, the correct statements are: f may be surjective and f cannot be injective.

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Answer:

The equation of the line that passes through the points (1,6) and (3,2) is y = -2x + 8.

Step-by-step explanation:

To find the equation of the line, we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

(x1, y1) = (1,6) and we can find the slope of the line using the following formula:

m = (y2 - y1) / (x2 - x1)

(x2, y2) = (3,2).

m = (2 - 6) / (3 - 1) = -4 / 2 = -2

point-slope form of the equation of a line to get:

y - 6 = -2(x - 1)

y = -2x + 8

This is the equation of the line that passes through the points (1,6) and (3,2).

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Answer:

81:324

Step-by-step explanation:

3+12=15

405 div 15 =27

3 times 27 = 81

12 times 27 = 324

81:324

Answer:

C. \(6+z=44\Rightarrow z=38\ \text{inches}\)

Step-by-step explanation:

The plant has initial length of \(6\ \text{inches}\)

Let the height it grew after the \(6\ \text{inches}\)  be \(z\)

So total height it grows would be \(6+z\)

The total height of the plant is \(44\ \text{inches}\)

So we get

\(6+z=44\\\Rightarrow z=44-6\\\Rightarrow z=38\ \text{inches}\)

The equation that models the situation is

\(6+z=44\Rightarrow z=38\ \text{inches}\)

Answer: 15

Step-by-step explanation:

answer:

18.75

step-by-step explanation:

5+15+15+15+20+20+30+30

=150

150/8

=18.75

the mean tells us that the length of these commercials have quite a large difference

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

-7x-1

Step-by-step explanation:

6-(9x+7)+2x

-(9x+7): -9x-7

= 6-9x-7+2x

6-9x-7+2x=-7x-1

-7x-1

Answer:

-7x - 1

Step-by-step explanation:

Well to start off we have to multiply because of the - symbol at the start of the parenthesis.

So - * 9x is -9x and - * 7 is -7 so our equation looks like this now \(6-9x-7+2x=\).

Now we have to combine like terms so 6 + -7 is -1 and -9x + 2x is -7x.

So now our equation looks like this \(-7x-1=\).

So that is simplifued all the way.

Step-by-step explanation:

24×-1=

-24ans

and that's the answer

Given:

The equation is

\(3x+4y=24\)

To find:

The x- and y-intercepts of the given equation.

Solution:

We have,

\(3x+4y=24\)

Putting x=0, we get

\(3(0)+4y=24\)

\(0+4y=24\)

\(y=\dfrac{24}{4}\)

\(y=6\)

Therefore, the y-intercept of the given equation is 6.

Putting y=0, we get

\(3x+4(0)=24\)

\(3x+0=24\)

\(x=\dfrac{24}{3}\)

\(x=8\)

Therefore, the x-intercept of the given equation is 8.

The x-intercepts are x = -5/3 and x = 5/3.

The y-intercept is (0, 25).

Solve x+9x^2 + 26x+24 < 0:

To solve this inequality, we can first simplify the expression:

9x^2 + 27x + 24 < 0

Now, we can factorize the quadratic expression:

(3x + 4)(3x + 6) < 0

Next, we determine the critical points by setting each factor to zero:

3x + 4 = 0 --> x = -4/3

3x + 6 = 0 --> x = -2

We now create a sign chart and test the intervals:

scss

Copy code

         -∞      -4/3       -2       +∞

(3x + 4)  -       0         +        +

(3x + 6)  -       -         +        +

From the sign chart, we can see that the inequality (3x + 4)(3x + 6) < 0 holds true when -4/3 < x < -2.

Therefore, the solution to the inequality x+9x^2 + 26x+24 < 0 is:

-4/3 < x < -2.

Determine the end behavior, x-/y-intercepts, and sketch the graph of f(x) = x - 9x^2 + 15x + 25:

End Behavior:

As x approaches negative infinity, the leading term -9x^2 dominates, and the function approaches negative infinity. As x approaches positive infinity, the leading term -9x^2 still dominates, and the function also approaches negative infinity.

x-intercepts:

To find the x-intercepts, we set f(x) = 0 and solve for x:

x - 9x^2 + 15x + 25 = 0

Combine like terms:

-9x^2 + 16x + 25 = 0

This quadratic equation can be factored as:

-(3x - 5)(3x + 5) = 0

Setting each factor to zero:

3x - 5 = 0 --> x = 5/3

3x + 5 = 0 --> x = -5/3

Therefore, the x-intercepts are x = -5/3 and x = 5/3.

y-intercept:

To find the y-intercept, we set x = 0 in the equation:

f(0) = 0 - 9(0)^2 + 15(0) + 25 = 25

Therefore, the y-intercept is (0, 25).

Sketching the graph:

Using the information gathered, we can sketch the graph of f(x). It is a downward-opening parabola that intersects the x-axis at x = -5/3 and x = 5/3, and the y-axis at y = 25. The end behavior shows that the graph approaches negative infinity as x approaches negative and positive infinity.

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Answer:

If 1 m/s is 1 meter per second, then it would take 5 seconds.

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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The rate of change of an object's velocity with respect to time is defined as acceleration. The speed of a after it has moved 2m starting from rest is 1.98 m/s².

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.

We can see that the acceleration of 3kg mass is double that of the 8kg mass. Therefore, Writing the force conservation equations altogether,

(T - 3g)/3 = 2(8g - 2T)/8

T= 3.6*g

Now, the Acceleration of 8kg mass can be written as

a = (8g - 2T)/8

  = 0.8g/8

  =0.1g

Therefore, acceleration of mass 3kg = 2×a = 0.2g

Further, as per the law of motion we can write,

v² - u² = 2as

Substituting the values, u =0; a=0.1g; s=2m; we will get,

v=1.98m/s

Hence, the speed of a after it has moved 2m starting from rest is 1.98 m/s².

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The value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is: t = −|t1| + 0.005 = −0.245 (approx)

Let’s consider the value of t such that the area to the left of −|t|−|t| plus the area to the right of |t||t| equals 0.01. Now, we know that the area under the standard normal distribution curve between z = 0 and any positive value of z is 0.5. Also, the total area under the standard normal distribution curve is 1.Using this information, we can calculate the value of t such that the area to the left of −|t| is equal to the area to the right of |t|. Let’s call this value of t as t1.So, we have:

Area to the left of −|t1| = 0.5 (since |t1| is positive)
Area to the right of |t1| = 0.5 (since |t1| is positive)

Therefore, the total area between −|t1| and |t1| is 1. We need to find the value of t such that the total area between −|t| and |t| is 0.01. This means that the total area to the left of −|t| is 0.005 and the total area to the right of |t| is also 0.005.

Now, we can calculate the value of t as follows:

Area to the left of −|t1| = 0.5
Area to the left of −|t| = 0.005

Therefore, the area between −|t1| and −|t| is:

Area between −|t1| and −|t| = 0.5 − 0.005 = 0.495

Similarly, the area between |t1| and |t| is:

Area between |t1| and |t| = 1 − 0.495 − 0.005 = 0.5

Area to the right of |t1| = 0.5
Area to the right of |t| = 0.005

Therefore, the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is the value of t1 plus the value of t:

−|t1| + |t| = 0.005
2|t1| = 0.5
|t1| = 0.25

Therefore, the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is:
t = −|t1| + 0.005 = −0.245 (approx)

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Answer:

x=4+ 2root14/4

by using quadratic formula

The runner's average speed was approximately 0.0024 km/h slower than the required speed to win the gold medal.

Let's denote the runner's average speed as v (in km/h). The time taken to complete the marathon can be calculated using the formula: time = distance / speed. In this case, the distance is 42 km, and the time taken is 0.1 hours less than the original time.

Using this information, we can set up the following equation:

42 / v = (42 / (v + 1)) - 0.1

To solve this equation, we can start by simplifying the right side:

42 / v = (42 - 0.1(v + 1)) / (v + 1)

Next, we can cross-multiply to eliminate the fractions:

42(v + 1) = 42 - 0.1(v + 1)

Expand the equation:

42v + 42 = 42 - 0.1v - 0.1

Combine like terms:

42v + 42 = 42 - 0.1v - 0.1

Combine like terms again:

42v + 42 = 42 - 0.1v - 0.1

Now, let's isolate the variable v by moving all the v terms to one side:

42v + 0.1v = 42 - 42 - 0.1

Simplify the equation:

42.1v = -0.1

Divide both sides by 42.1:

v = -0.1 / 42.1

v ≈ -0.0024

Since average speed cannot be negative, we disregard the negative solution.

Therefore, the runner's average speed was approximately 0.0024 km/h slower than the required speed to win the gold medal.

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