simplify: (4 - 5) - (13 - 18 + 2)
(a)-1
(b)-2
(c)1
(d)2

Is true.

wksnsksndksndks

The equation of SQ is y = (-1/2)x + 2.

Given the coordinates of point P and point R as (-8,6) and (8,-2) respectively. Now, we need to find the equation of SQ.

Let's use the slope-intercept form of the equation of a line which is y = mx + b where m is the slope and b is the y-intercept.

Firstly, we need to find the slope of the line passing through the points P and R.

 Slope of a line through two given points (x1,y1) and (x2,y2) is given by,m = (y2 - y1) / (x2 - x1).

Hence, Slope of line PR = mPR= (-2 - 6) / (8 - (-8))= (-8) / 16= -1/2. As the line SQ is parallel to the line PR, the slope of the line SQ will be the same as the slope of line PR. The slope of line SQ = mSQ= mPR= -1/2.

Now, we need to find the equation of line SQ which passes through the point (0,2) and has slope -1/2.

Hence, using the slope-intercept form of the equation of a line, we get the equation of SQ as follows: y = mx + b 2 = (-1/2)(0) + b 2 = b.

Therefore, the equation of line SQ is y = (-1/2)x + 2, where x and y are the coordinates of the points on the line.

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Answer:

Step-by-step explanation:

First of all, write the similarity statement for the triangles.

  ΔCDE ~ ΔCBA

Identify the line segments in each triangle that you know. Preferably, choose ones that correspond.

  CE = 27, DE = the length we want to find . . . . known segments in ΔCDE

  CA = (18+27) = 45 . . . . . corresponds to CE

  BA = 28 . . . . . . . . . . . . . corresponds to DE

__

The ratios of corresponding line segments are equal:

  DE/CE = BA/CA . . . . this is the proportion you want to set up*

  DE/27 = 28/45

Multiply by the denominator of DE/27 to eliminate that:

  DE = 27(28/45)

  DE = 16.8

_____

* I usually choose to put the unknown variable in the numerator of a proportion, so that solving it only involves multiplication by the denominator. If you put the variable in the denominator, the solution takes an extra step.

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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Estimate by rounding the fractions:

15/16 is 1/16 short of being 1, so round 15/16 to 1

7/8 is 1/8 short of being 1 so round 7/8 to 1

7/16 is 1/16 short of being 1/2, so round 7/16 to 1/2

Now add the three: 1 + 1 + 1/2 = 2 and 1/2

Estimating the 3 lengths would be 2 and 1/2 miles.

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

The number 4.4 is between \(4 \frac{1}{3}$\) and \(4 \frac{3}{5}$\) on the number line, so the answer is (D) 4.4.

To solve this problem, we need to convert the mixed numbers 4 1/3 and 4 3/5 to improper fractions and then find a number between them on the number line.

\(4 \frac{1}{3}$\) can be written as \(\frac{13}{3}$\) and \(4 \frac{3}{5}$\) can be written as \(\frac{23}{5}$\).

To find a number between \(\frac{13}{3}$\) and \(\frac{23}{5}$\), we need to find a common denominator. The least common multiple of 3 and 5 is 15, so we can rewrite the fractions with a denominator of 15:

\($\frac{13}{3} = \frac{65}{15}$\)

and

\($\frac{23}{5} = \frac{69}{15}$\)

Now we can see that the number \(\frac{67}{15}$\) is between \(\frac{65}{15}$\) and \(\frac{69}{15}$\), and we can convert it back to a mixed number:

\($\frac{67}{15} = 4 \frac{7}{15}$\)

Therefore, the number 4.4 is between \(4 \frac{1}{3}$\) and \(4 \frac{3}{5}$\) on the number line, so the answer is (D) 4.4.

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Answer:

15

Step-by-step explanation:

8x-3+4x+3=180

12x=180

x=180/12

x=15

Step-by-step explanation:

The Straight angle is an angle equal to 180 degrees.

So (8x - 3) + (4x + 3) = 180

8x - 3 + 4x + 3 = 180

12x = 180

x = 15

please give me a brainliest answer

Answer:

it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.

Step-by-step explanation:

In this problem. We have a ladder that's leaning against the wall of a building. KR ladder is 13 feet long. Okay, I'm going to go ahead and label that l for ladder. You see, we form a right triangle here. I'm gonna label the horizontal acts and the vertical. Why? We are told that the bottom of the ladder is moving away from the building at a rate off 0.5 feet per second. So that's DX DT. Secret will 0.5 feet per second. What we're trying to find is how quickly the top of the ladder is moving down the wall when the base of the ladder is five feet from the wall. Okay, so the point where X is five feet, we want to know how quickly the latter is moving down the wall. So we have a Pythagorean theorem here. X squared plus y squared is equal to elsewhere. I want to go ahead and substitute in 13 for L. Because that is constant. It's not going to change so we can go ahead and put in 13. I want to take the derivative of both sides with respect to t. I'm gonna have to X dx DT plus two. Why d y d t and that's going to be equal to will. The derivative of a constant is just zero. Now I'm gonna substitute in what? We know. I have a two here. I know. Access five. I knew. Know that DX DT is 0.5. I do not know why at this point, OK, But I know I'm trying to solve for d y t t. So I'm gonna go have put that in there. So off to the side. I have to figure out what? Why is well using my migrant there? I'm here. I know access five I'm solving for why? And I know l is 13. So why squared is going to be equal to 13 squared minus five squared, which is 144. Why is equal to 12 so I can go ahead and put 12 in here going to calculate this out? This is gonna be five plus 24 d Y d t is equal to zero. 24 d Y d t is going to be equal to negative five, so it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.

The top of the ladder moving down the wall when its base is 1 feet from the wall is 6.86 ft per second.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that the base of the ladder is pulled away from the wall at a rate of 5 feet per second when its base is 1 feet from the wall. Then the time will be;

Speed = distance/time

2 = 7/t

t = 7/2 = 3.5 seconds

Using pythagorean theorem to get the length L of the wall;

L² = 25² - 7²

L = 24

The ladder will move down the length at the same time.

Rate = 24/3.5

Rate = 6.86 ft/s

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Answer:

$96

Step-by-step explanation:

488 - 200 =288( The amount three sons have to pay together)

So, each son will pay 288/3 = $96

The values in percentages will be 37.7% and the maximum will be: 45.3%

From the information, the approximately 41.5% of city residents prefer local businesses over national chains and the survey had a margin of error of ±3.8%.

Therefore, the minimum number will be:

= 41.5% - 3.8%

= 37.7%

The maximum will be:

= 41.5% + 3.8%

= 45.3%

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Answer:

177.8

Step-by-step explanation:

There are 30.48 centimeters per foot so multiply 30.48 by 5. And there is 2.54 centimeters in a inch so multiply 2.54 by 10. And then add the totals together to get 177.8

Answer:

d 20

Step-by-step explanation:

0.5*b*h i guess so good luck

Answer:

Step-by-step explanation:

1/2 times base time height equals 20

Answer:

approximately 28.26 square feet

Step-by-step explanation:

The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.

The area is:

28.27 square feet

Work/explanation:

Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).

We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.

Now, here's a diagram for you;

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)

Plug in the data:

\(\sf{A=\pi\times3^2}\)

\(\sf{A=\pi\times9}\)

\(\sf{A=28.27\:ft^2}\)

Step-by-step explanation:

3 1/2 = 3,5 kg → ? g

1 kg = 1.000 g

• Convert kg to g.

= 3,5 kg

= 3,5 × 1.000

= 3.500 grams IS THE ANSWER

9514 1404 393

Answer:

  305,645 base 10

  1124755 base 8

Step-by-step explanation:

In expanded form, the number is ...

  4×16^4 +10×16^3 +9×16^2 +14×16^1 +13

  = (((4×16 +10)×16 +9)×16 +14)×16 +13 = ((74×16 +9)×16 +14)×16 +13

  = (1193×16 +14)×16 +13 = 19102×16 +13 = 305,645 base 10

_____

If you want to convert this to base 8, that is easily done by writing the binary equivalents of the hex digits, then regrouping them by 3s.

  4A9ED₁₆ = 0100 1010 1001 1110 1101₂ = 01 001 010 100 111 101 101₂

  = 1124755₈

Answer:

30 %

______________________________________________________

Answer:

d^3-2d^2-5d+6

Step-by-step explanation:

Step 1: (d-1)(d+2)=d^2+d-2

Step 2: (d-3)(d^2+d-2) = d^3+d^2-2d-3d^2-3d+6 = d^3-2d^2-5d+6

Answer: The product of the binomials (d-1)(d+2)(d+3) is \(d^3 + 4d^2 +d - 6\).

Step-by-step explanation:

When multiplying the binomials, you can break it down and multiply two expressions first then multiply that last expression:

(d−1)(d+2)(d+3)

first: (d−1)(d+2)

when multiplying expressions you can multiply using the 'box method' where you would draw a box and put each part of the expression on the top and the left side of the box, multiplying each on into the box and adding like terms.

You can also multiply it by first taking the expression, (d−1)(d+2) and multiplying the variable 'd' to the (d + 2) and then multiplying the '-1' to the (d+2) and then adding like terms:

(d−1)(d+2)

\(d^{2} + 2d - d - 2\)

'd' is the only like term in this expression so lets add 2d and -d together

\(d^{2} + d - 2\)

finally, we need to multiply the (d + 3) to expression, \(d^{2} + d - 2\)

We will treat this multiplying process the same as before.

\((d + 3)(d^{2} + d - 2)\)

\(d^3 + d^2 -2d + 3d^2 + 3d - 6\)

now lets add like terms

\(d^3 + 4d^2 +d - 6\)

So the product of the binomials (d-1)(d+2)(d+3) is \(d^3 + 4d^2 +d - 6\).

Answer:

8 colors

Step-by-step explanation:

There should be at least 8 different colors available for coloring the sections. The one color is used to color all the small triangles on the upper most and lower most lines, then there will be required another color so that the edges does not matches with the previous color. For the bigger hexagon shapes in the center we will require different colors for all of them because all of the hexagon shapes touches a line and an edge with each other.

Answer:

its 2 trust me

Step-by-step explanation:

its two cause if you think about it and color in the hexagons and triangles two different colors it works

Answer:

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

Pythagoras Theorem Equation

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Answer:

The number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.

It should be noted that based on the information illustrated, the marathon had 29967 men and 16,928 Women.

Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be:

29867 = 30000

16982 = 17000

Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.

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In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given to the nearest thousand.

Answer:

1. Scatter plots are used to observe relationships between variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point.

2. A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph

Step-by-step explanation:

I am leaving the last two for someone else to have a chance to answer.

I hope my answers helped.

Answer:

Person above me is 100 percent right and they explained it well.

Step-by-step explanation:

Please give them the Brainliest

Answer:

First one

Step-by-step explanation:

The number of routes that Paula can take using graph theory is; E: 4

We will observe that out of the 12 cities, 6 of them possess 3 edges going in/out of them.

The 6 cities are such that there are 2 at the top, 2 at the bottom, and 1 on each side.

In graph theory terms, we can say that they are of degree 3.

Thus, at least 1 edge connecting to each of these cities cannot therefore be used. Furthermore, the same concept applies to the start and end points, due to the fact that we don't want to return to them.

There are 6 + 2 = 8 vertices that we can tell have 1 unused edge, and then we have 17 - 13 = 4 unused edges to work with due to the fact that we have 17 edges in total, and as such must use exactly 13 of them).

Finally, we notice that at each of the 2 cities marked with an O on a path in the image attached, that there are 2 possibilities such that it's either we continue straight and cross back over that same path later, or we will make a left turn, and then turn rightward when we approach the junction again.

This gives us a total of;

2 * 2 = 4 possible different routes

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Answer:

5/6 = 30/36

2/9 = 8/36

25+8=38/36

38/36 = 1 2/36

Step-by-step explanation:

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

\(\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}\)

\(\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}\)

\(\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}\)

\(\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)\)

\(\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}\)

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

The solution for the given inequality is -10 < y ≤ -2.

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

The question gives:

17 ≤ -10y -3 ≤ 97

For solving this exercide, you should write the previous compound inequality as:

17  ≤  -10y -3     (1)

-10y -3  ≤ 97   (2)

             17  ≤ - 10y -3

            10y ≤  -3 -17

            10y ≤  -20

            y ≤  -20/10

            y ≤  -2

             -10y -3  ≤ 97

             -10y   ≤ 97 +3

             -10y   ≤ 100 *(-1)

             10y   ≥  - 100

             y   ≥  - 100/10

             y   ≥  - 10

Combining the intervals, you have -10 < y ≤ -2.

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