7 Chris needs to cut a roll of twine into 16 equal lengths for a
project. If the roll of twine measures 900 inches, how long
will each length of twine measure?

Answer:

Step-by-step explanation:

103,776 ways

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Answer:

$2,611.9.

Step-by-step explanation:

To find the operating cost for the lowest 2% of the airplanes, we need to find the corresponding z-score from the standard normal distribution using a z-table.

Using the formula:

z = (x - μ) / σ

where x is the cost we are interested in, μ is the mean cost, and σ is the standard deviation.

For the lowest 2% of airplanes, the z-score can be found by looking up the area to the left of z in the z-table. This area is 0.02.

Looking up 0.02 in the z-table gives a z-score of approximately -2.05.

So we have:

-2.05 = (x - 3403) / 398

Solving for x, we get:

x = -2.05 * 398 + 3403 = $2,611.9

Therefore, the operating cost for the lowest 2% of the airplanes is approximately $2,611.9.

9514 1404 393

Answer:

  28°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we have ...

  (4x) +(x +18) +112 = 180

  5x = 50 . . . . . . . subtract 130

  x = 10

Then the two acute angles are ...

  (4x)° = (4·10)° = 40°

  (x+18)° = (10+18)° = 28°

The measure of the smallest angle is 28°.

Answer:

16

Step-by-step explanation:

The number after 15 s 16.

Answer:

102

Step-by-step explanation

39'+39'=78'

180-78=102

A rational equation is defined as the quotient of two polynomials, with the denominator not being zero. It is a type of algebraic expression that involves variables and rational functions with rational exponents.

The error in the given rational equation is that it's not allowed to cancel out the x-2 and X+2 terms, as they are in the denominators. It is because of the fact that it may make the denominator zero, which would result in undefined expressions. Therefore, we need to find the least common multiple (LCM) of the denominators and then convert the equation into equivalent forms with the same denominator.B):

Correction of the error1-2/x-2 = x+1/X+2Given rational equation can be re-written as:((1 - 2)/(x - 2)) = ((x + 1)/(X + 2))The LCM of x - 2 and X + 2 is (x - 2) (X + 2).Multiplying the numerator and denominator of the left side by (X + 2) and the numerator and denominator of the right side by (x - 2) we get,(1 - 2)(X + 2) = (x + 1) (x - 2)Now simplify the equation:2X - 3x = -3The given rational equation becomes 2X - 3x = -3 after correction.Note: You should always double-check if the obtained solution satisfies the initial equation.

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Step-by-step explanation:

up/down shifts are easy. they just indicate a constant change to the calculated y-values (result values) of f(x).

a shift up is therefore just adding a constant to f(x).

a shift down is just subtracting a constant from f(x).

in our case that would be f(x) + 3 = x³ + 3.

left/right shifts are more difficult to understand.

a shift to the left means that the same y-/result values happen as for f(x) also for g(x), just a bit "earlier" (to the left) on the x-axis.

a shift to the right means via the same principle the y-values for f(x) happen unchanged but "later" (to the right on the x-axis) for g(x).

so, 5 units to the left means that g(x) has the same y-value as f(x+5). f(x+5) happens 5 units earlier (at x).

and so, the full g(x) is

g(x) = f(x+5) + 3 = (x+5)³ + 3 =

= (x² + 10x + 25)(x + 5) + 3 =

= x³ + 5x² + 10x² + 50x + 25x + 125 + 3 =

= x³ + 15x² + 75x + 128

Answer:

150

Step-by-step explanation:

30+60n=30+120=150

Answer:

A. 85

Step-by-step explanation:

They are congruent angles, or the same.

Therefore, the answer is 85

Answer:

if your trying to find the area of 10ft and 2 1/2 all you gotta do is turn the 2 1/2 in a decimal and multiply it by 10 which is 25

Step-by-step explanation:

Answer:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

(x+13)²+(y-9)²=36you can write this equation too

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

(x-1)²+(y+1)²=121

you can write this equation too

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

3.

centre (h,k)=(3,1)

radius (r)=4units.

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-3)²+(y-1)²=4²

(x-3)²+(y-1)²=16 is a required equation.

4.

centre(h,k)=(4,-2)

radius (r)=3

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-4)²+(y+2)²=3²

(x-4)²+(y+2)²=9

you can write this equation too

Answer:

Whatever he just answered

Step-by-step explanation:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

(x+13)²+(y-9)²=36you can write this equation too

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

(x-1)²+(y+1)²=121

you can write this equation too

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

3.

centre (h,k)=(3,1)

radius (r)=4units.

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-3)²+(y-1)²=4²

(x-3)²+(y-1)²=16 is a required equation.

4.

centre(h,k)=(4,-2)

radius (r)=3

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-4)²+(y+2)²=3²

(x-4)²+(y+2)²=9

you can write this equation too

Answer:

sin A = \(\frac{15}{17}\)

cos A = \(\frac{8}{17}\)

tan A = \(1\frac{7}{8}\)

Step-by-step explanation:

sine = \(\frac{ooposite}{hypothenuse}\)

sine A = \(\frac{15}{17}\)

cosine = \(\frac{adjacent}{hypothenuse}\)

cos A = \(\frac{8}{17}\)

tan = \(\frac{opposite}{adjacent}\)

tan A = \(\frac{15}{8} = 1\frac{7}{8}\)

Answer:

The total cost of the game is $23.60

The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.

One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.

In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.

Therefore, the required answer is the number of people attending.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

3.96% I think

Sounds like sloths are living the life lol

Step-by-step explanation:

a. residual is much larger than the rest of the residual values.

In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.

Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.

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\(\implies {\blue {\boxed {\boxed {\purple {\sf {(2).\: \: \frac{ - 27}{3}\:and\: (5).\: - 9 }}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( \frac{27}{ - 3} \)

2. \( \: \frac{ - 27}{3} \) ✔

5. \( - 9\) ✔

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Mystique35♨}}}}}∘\)

Answer:

x=9

y=15

Step-by-step explanation:

Its a parallel gram, so the sides would be the same as the parallel side,

Answer:

\(\huge\boxed{\sf x = 9,y = 15}\)

Step-by-step explanation:

In a ║gm, Opposite sides are parallel and equal.

Hence,

x = 9

y = 15

\(\rule[225]{225}{2}\)

Hope this helped!

The equation that can be used to find the speed of the current, c, in miles per hour is 3(15 - c) = 2(15 + c). The boat's speed when going upstream can be given by⇒ the speed in calm water - the speed of the current. Similarly, the boat's speed when going downstream can be given by⇒ the speed in calm water + the speed of the current.

To explain this equation:
- The boat's speed in calm water is given as 15 mph.
- When traveling upstream (against the current), the boat takes 3 hours to travel a certain distance.
- When traveling downstream (with the current), the boat takes 2 hours to travel the same distance.
- The speed of the current affects the boat's overall speed, so we need to find the value of c.

Distance traveled by the boat upstream = speed x time = (15-c) x 3

Distance traveled by the boat downstream = speed x time = (15+c) x 2

We know that both the distances are same.
So ⇒ 3(15 - c) = 2(15 + c)

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The scale factor of dilation, which represents the ratio of corresponding lengths in the dilated figure, can be determined by comparing the corresponding side lengths of L'M'N' and LMNP. By dividing the length of any side of L'M'N' by the corresponding side length of LMNP, the scale factor can be obtained.

To find the scale factor of dilation, we compare the corresponding side lengths of L'M'N' and LMNP. Let's denote the length of LM as 'a', the length of MN as 'b', and the length of NP as 'c'. Similarly, we denote the length of L'M' as 'k * a', the length of M'N' as 'k * b', and the length of N'P' as 'k * c', where 'k' represents the scale factor.

To determine the scale factor, we can choose any side length and divide the length of the corresponding side of L'M'N' by the length of the corresponding side of LMNP. For example, if we divide the length of L'M' by the length of LM, we get (k * a) / a, which simplifies to 'k'. Therefore, the scale factor of dilation is 'k'.

In summary, the scale factor of dilation, which represents the ratio of corresponding side lengths in the dilated figure, can be found by comparing the lengths of L'M'N' and LMNP. By dividing the length of any side of L'M'N' by the corresponding side length of LMNP, we obtain the scale factor 'k'. This factor determines how much the original figure has been enlarged or reduced in the dilation process.

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Answer:

i think it's about 20.4% per year

Answer:

do u need help?

Greek mathematicians, who were first influenced by the Egyptians, would go on to produce innovations like Pythagoras' theory of right-angled triangles and, by concentrating on the abstract, bring accuracy and clarity to venerable mathematical conundrums.

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Answer:

No solution

Step-by-step explanation:

One solution is when two lines intercept

Infinite solutions is when two lines are on top of each other

No solution is when two lines are parallel

Total number of cases possible when 3 Dice roll= 6^3=216

Now we have to find the number of cases when values shown on two of the dice sum to the value shown on the remaining, probability is 0.28

Now we need to count the instances where the values on two dice add up to the value on the other die, which is one. If a die shows 6, the remaining two dice must either show (5,1) or (4,2), or (3,3)

Total number of scenarios that could occur in this situation: 3!+3!+3!/2!=15

2. If a die shows 5, the other two dice must either display (4,1) or (3,2)

The total cases that could occur in this scenario are 3!+3! =12.

3. If a die shows 4, the other two dice must either display (3,1) or (2,2)

Total number of scenarios that could occur in this situation: 3!+3!/2!=9

4. If a die shows 3, the other two dice must also show 3. (2,1)

The total number of cases possible in this scenario= is 3!/2! =3

Total cases possible= 15+12+9+6+3=45

Probability= 45/216=5/24= 0.208

probability is 0.208

correct option is (D).

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The question was incomplete. Check below the complete question.

Three fair six-sided dice are rolled. What is the probability that the values shown on two of the dice sum to the value shown on the remaining die?

(A) 1/6

(B) 13/72

(C) 7/36

(D) 5/24

(E) 2/9

Answer:

a) 251.33 cm

b) 40 times

Step-by-step explanation:

C = d x r

a) C = 80 cm x 3.14 = 251.33 cm

b) 100 m = 10,000 cm

10,000cm/251.33cm = 40 times

Answer(s):

\(\displaystyle y = 3cos\:(2\pi{x} - \frac{\pi}{2}) + 3 \\ y = -3sin\:(2\pi{x} \pm \pi) + 3 \\ y = 3sin\:2\pi{x} + 3\)

Step-by-step explanation:

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 3\)

OR

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 3\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 3cos\:2\pi{x} + 3,\) in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted \(\displaystyle \frac{1}{4}\:unit\)to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD \(\displaystyle \frac{1}{4}\:unit,\)which means the C-term will be positive, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{\frac{1}{4}} = \frac{\frac{\pi}{2}}{2\pi}.\)So, the cosine graph of the sine graph, accourding to the horisontal shift, is \(\displaystyle y = 3cos\:(2\pi{x} - \frac{\pi}{2}) + 3.\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits \(\displaystyle [-\frac{1}{4}, 0],\)from there to \(\displaystyle [\frac{3}{4}, 0],\)they are obviously \(\displaystyle 1\:unit\)apart, telling you that the period of the graph is \(\displaystyle 1.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 3,\)in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

64

Step-by-step explanation:

Dababy approved.