» A race car game takes 6 points from a player each
time the player hits a cone. What integer represents
the change in total points if the player hits 10 cones?

The value of x is 63

To determine the value of the variable, we have that;

From the information given, we have that;

x and x - 36 are complementary angles

Now, equate the angles to 90 degrees, we have;

x + x - 36= 90

collect the like terms, we get;

2x = 90 + 36

add the terms

2x =1 26

Divide by the coefficient

x = 63

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Complete question:

The angles X,(x-36)  are complementary. What is the value of x

we have the function

using a graphing tool

see the attached figure

the graph is option C

The function is increasing on the interval

(-4, +∞)

The function is decreasing on the interval

(--∞, -4)

Intervals on which the function is constant

there are no intervals on which the function is constant

If D be a region bounded by a simple closed path C in the xy-plane, then the centroid of the quarter circle is  (4a/3π , 4a/3π)   .

In the question ,

it is given that D is the region bounded by a simple closed path C in the xy-plane .

the radius of the circle is = "a" ,

let the equation of the circle be x² + y² = a² ,

So , the area of the quarter circle is (A)  = (1/4)*πa²

The coordinate of the centroid x will be :

x = \(\frac{1}{2A} \int\limits x^{2} dy\)

x = \(\frac{1}{2(\frac{\pi a^{2} }{4})} \int\limits^a_0 {a^{2} -y^{2} } \, dy\)

Simplifying further ,

we get ,

x = 2/πa² [{a²(a) - a³/3} - 0 ]

x = 2/πa² [a³ - a³/3 ]

x = 4a/3π

The coordinate of the centroid y will be :

y = \(\frac{1}{2A} \int\limits y^{2} dx\)

y = \(\frac{1}{2(\frac{\pi a^{2} }{4})} \int\limits^a_0 {a^{2} -x^{2} } \, dx\)

Simplifying further ,

we get ,

y = 2/πa² [{a²(a) - a³/3} - 0 ]

y = 2/πa² [a³ - a³/3 ]

y = 4a/3π

Therefore , the coordinates of the centroid is (4a/3π , 4a/3π) .

The given question is incomplete , the complete question is

Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid x, y of D are x = \(\frac{1}{2A} \int\limits x^{2} dy\)  ,  y = \(\frac{1}{2A} \int\limits y^{2} dx\) ?  

Find the centroid of a quarter-circular region of radius a.

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HELLO

I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE

HERE YA GO <3

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Answer:

heyy i did this problem a while ago and got kinda stuck on it

The final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

What is the interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.

We have,

F and H are sets of real numbers defined as follows.

F = { v l v < 4}

H = { v l v ≥ 7}

F is the set of all real numbers that are less than or equal to 4.  H is the set of real numbers greater than 7.

F U H is the union (or combination) of the two sets, so it is the set of all real numbers that are less than equal to 3 or greater than 6:

F ∩ H is the set of real numbers that are in both sets; but since F is less than or equal to 4 and H is greater than 7, there are no numbers that are in both sets.  Hence the answer is the empty set, Ø:

F ∩ H = Ø

F ∩ H = [7, 4]

F ∪ H = [-∞, ∞]

Hence, the final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

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By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

The corrective action that offices that consistently charged excessive fees would be subject to by JTFH is a. The office will immediately be terminated from the Program.

JTH Financial, LLC (JTHF)  is a company that was formed in 2010 in Virginia and their goal and mode of operation is to help customers with tax settlement products that can help them get the best amount to pay for taxes.

JTH Financial, LLC has affiliate offices that engage in tax preparation for clients around the United States but they monitor these offices to ensure that their tax preparation fee averages is not excessive. If an office consistently has excessive fees charged to its customers, then JTH Financial terminates them from the program to protect its customers.

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Answer: 140

Step-by-step explanation:

Answer:

7/75

Explantion:

To get the answer as a fraction you must first have a common denominator

so . .

105 is a common denominator

So . .

Multiply 5/7 by 15

Multiply 1/15 7

This comes out as

Divide = 7/75

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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The question is incomplete. Below you will get the missing part of the question.

Find whether the given statement is true or false ?

True. Circle properties can be used to prove that various shapes are polygons.

With a centre of the circles, sides of an angle with vertex outside the circle, and arcs inside the circle, various shapes can be polygon.

So, from this description, we can say that, circle properties can be used to prove that various shapes are polygons.

Hence, the given statement is true.

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Answer:

d. 35

Step-by-step explanation:

y = 35x + 40

The slope is 35 as 'm' is the slope of the equation

LMK IF IT WAS RIGHT!!

Answer:

D (35)

Step-by-step explanation:

Answer:

Answer is {C}

Step-by-step explanation:

Answer:- 1) there are three terms

2) 3,4,1

\((\stackrel{a}{-3\sqrt{3}}~~,~~\stackrel{b}{-9}) \\\\[-0.35em] ~\dotfill\\\\ r=\sqrt{a^2 + b^2}\implies r=\sqrt{(-3\sqrt{3})^2 + (-9)^2}\implies r=\sqrt{108}\implies r=6\sqrt{3} \\\\[-0.35em] ~\dotfill\)

\(\theta =\tan^{-1}\left( \cfrac{b}{a} \right)\implies \theta = \tan^{-1}\left( \cfrac{-9}{-3\sqrt{3}} \right) \\\\\\ \theta = \tan^{-1}(\sqrt{3})\implies \theta = \begin{cases} \frac{\pi }{3}\\[1em] \frac{4\pi }{3} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill~\left( 6\sqrt{3}~~,~~\frac{\pi }{3} \right)\hspace{5em}\left( 6\sqrt{3}~~,~~\frac{4\pi }{3} \right)~\hfill~\)

a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Answer:

Step-by-step explanation:

43min=3miles

93min=3*93=279/43

austin will walk 6.488miles for 93 minutes

Answer:

7m - 6n

Step-by-step explanation:

Simplify the equation by combining like terms

5m + 2m = 7m

-n - 5n = -6n

5m - n - 5n + 2m = 7m - 6n

Answer:

lol the answer is the second one

Claire's time in fractions taken to mow all the lawns last week was 14/27  hour longer than this week.

Let a/b and r/b are two fractions then a/b> r/b, if their respective denominator are in same relation i.e. a>r or a/b<  r/b if a<r  

Or a/b= r/b if a=b

Given Claire mowed 7 lawns last week. and She mowed each lawn in 7/27 hours

The total time taken by Claire to move the lawns last week  = 7* 7/27 =49/27 hours

She got a new lawn mower and this week it took her 5/27 to move each lawn

Therefore, The total time taken by Claire to move the lawns this week  = 7* 5/27 =35/27 hours

So, 49/27 > 35/27 as 49 >35

Then, The extra time taken by Claire to mow all the lawns last week than this week = 49/27- 35/27 =(49-35)/ 27 = 14/27 hours

Therefore, Claire's time to mow all the lawns last week was 14/27  hour longer than this week​

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Answer:

110º

Step-by-step explanation:

Because the angle starts at 10º, and ends at 120º, so if we moved the angle down to start at 0º we would have to subtract 10º, so we must subtract 10º from 120º. You end up with 110º.

Hope this helps! Have a great day!

Answer:

120(2x² + 3x - 2) or 240x² + 360x - 240

Perimeter = 64x + 28

x = 3

Length = 60ft

Width = 50ft

Step-by-step explanation:

Area = (12x + 24)(20x - 10)

= 12(x + 2).10(2x - 1)

= 120(2x² + 3x - 2)

= 240x² + 360x - 240

Perimeter = 2(12x + 24) + 2(20x - 10)

= 24x + 48 + 40x - 20

= 64x + 28

64x + 28 = 220

64x = 192

x = 3

Length = 12(3) + 24

= 36 + 24

= 60

Width = 20(3) - 10

= 60 - 10

= 50

Answer:

Step-by-step explanation:

The area of the building is given by the formula ...

  A = LW

  A = (12x +24)(20x -10) . . . . . substitute given length and width

__

The perimeter is twice the sum of length and width:

  P = 2(L +W)

  P = 2((12x +24) +(20x -10)) = 2(32x +14)

  P = 64x +28

__

If the perimeter is 220 feet, we can use that fact to find the value of x.

  220 = 64x +28

  192 = 64x . . . . . . . subtract 28

  3 = x . . . . . . . . . . . divide by 64

Then the dimensions of the building are ...

  length = 12x +24 = 12(3) +24 = 60 . . . feet

  width = 20x -10 = 20(3) -10 = 50 . . . feet

The length and width of the building are 60 feet and 50 feet, respectively.

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

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Answer:

The expression that can be used to approximate the expression "logax" for all positive numbers a, b, and x, where a=1 and b=1 is:

log1x = 0

The value of x for the given right triangle is 65 cm.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  In this triangle from the trigonometric ratios or the Pythagoras Theorem (\(hypotenuse^2=(side_1)^2 + (side_2)^2\)), it is possible finding angles or sides. It is important to know that the hypothenuse is the greatest side of a right triangle.

In the question, the variable x is the hypotenuse and  60 is one of the legs of the right triangle. It is necessary to calculate the other leg. For this, you should apply the Pythagoras Theorem for the triangle whose legs are:    15 cm and 20 cm.

Thus,

h²=15²+20²

h²=225+400

h²=625

h=\(\sqrt{625}\)

h=25 cm

Now, you can find x.

x²=60²+25²

x²=3600+625

x²=4225

x=\(\sqrt{4225}\)

x=65 cm

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The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends. So correct option is C.

Measuring tides involves observing and recording changes in the water level of oceans, seas, and other bodies of water over time. Tides are caused by the gravitational pull of the moon and sun on the Earth's water, which results in a rhythmic rise and fall of water levels.

Tide measurements are important for a variety of reasons, including understanding ocean circulation, predicting flooding and storm surges, and planning shipping routes. Tidal data is also used in climate research, as changes in sea level can indicate long-term climate trends.

The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends.

The measurement is done because the land surfaces are dynamic with some locations rising or sinking relative to sea level changes are different across world coasts.

Therefore, the Option C is correct.

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The complete question is:

As per the probability concept, the expected utility of going to the beach compared with the expected utility of playing video games is three times greater.

The term probability is defined as how likely something is to happen

Here we have given that Marcus has only two options for his vacation day: go to the beach or spend the day playing video games.

Here we need to find how much greater is the expected utility of going to the beach compared with the expected utility of playing video games.

While we looking into the given question we know that he'd much rather go to the beach but there's a chance it rains.

We also know that as long as it doesn't rain, the value of going to the beach for him is three times higher than the value of playing video games. So, going to the beach if it rains is ok, but it's only half as valuable as playing video games.

Therefore, based on these condition option (a) is correct.

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