Factor 6a² - 12a - 5a + 10 by grouping.
O (6a - 5)(a + 2)
(6a - 5)(a - 2)
(6a + 5)(a + 2)
-
O (6a + 5)(a − 2)

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer:

Slope is 0

Step-by-step explanation:

Y=8

Hhfgjvhbfhv

Answer:111

Step-by-step explanation:

1111

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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9514 1404 393

Answer:

  (d)  −1.5(w−5)

Step-by-step explanation:

The signs of the two terms are different. That will still be true of the factored form. If you factor out a minus sign, then the constant in parentheses becomes negative.

  -1.5w +7.5 = -1.5(w -5)

Answer:

Step-by-step explanation:

\( - 1.5w + 7.5 \\ - 1.5(w - 5) \\ \)

Answer:

Step-by-step explanation:

Question 1.

\(12x-4 > 5x+10\)

Move all terms containing \(x\) to the left side of the inequality.

Subtract \(5x\) from both sides of the inequality.

\(12x-4-5x > 10\)

Subtract \(5x\) from \(12x\).

\(7x-4 > 10\)

Move all terms not containing \(x\) to the right side of the inequality.

Add 4 to both sides of the inequality.

\(7x > 14\)

Divide each term in \(7x > 14\) by 7 and simplify.

The answer can be written as \(x > 2\) or (2,∞)

Question 2.

\((-4x+1)+6\geq8x +72\)

\(-4x+1+6\geq8x +72\)

Move all terms containing \(x\) to the left side of the inequality.

Subtract \(8x\) from both sides of the inequality.

\(-12x+7\geq 72\)

Move all terms not containing \(x\) to the right side of the inequality.

Subtract 7 from both sides of the inequality.

\(-12x\geq 65\)

Divide each term in \(-12x\geq 65\) by − 12 .

When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

\(\frac{-12x}{-12} \leq \frac{65}{-12}\)

The answer can be written as \(x\leq- \frac{65}{12}\)  or (−∞,−\(\frac{65}{12}\)]

Answer:

Top left is A

Top right is B

Bottom left is D

Bottom right is A

Step-by-step explanation:

if a triangle has three degrees that measure 80, 80 and 20 what type of triangle is it equilateral, scalene, isosceles​

Its an isosceles triangle, because has two equal sides and two equal interior angles

Answer:

\(= 17 \frac{5}{6}\)

Step-by-step explanation:

\(23\frac{1}{2} + (-5\frac{2}{3})\\ \\ 23\frac{1}{2} = 23 + \frac{1}{2} = \frac{46}{2}+\frac{1}{2} = \frac{46+1}{2} = \frac{47}{2} = \frac{141}{6} \\ \\ 5\frac{2}{3} = 5 + \frac{2}{3} = \frac{15}{3} + \frac{2}{3} = \frac{15+2}{3} = \frac{17}{3} = \frac{34}{6}\)

Then:

\(23\frac{1}{2} + (-5\frac{2}{3}) = \frac{141}{6}+(-\frac{34}{6})\\ \\ = \frac{141}{6} - \frac{34}{6} = \frac{141.34}{6}\\ \\ = \frac{107}{6}\)

\(= \frac{102}{6} + \frac{5}{6} = 17 + \frac{5}{6}\\ \\ = 17 \frac{5}{6}\)

The null and alternative hypotheses can be stated as follows:

c. H0: µ = 12, Ha: µ ≠ 12

The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.

The rejection region for α = 0.01 can be specified as:

c. |t| > 2.68

This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.

To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.

The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.

Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.

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Is true.

wksnsksndksndks

Answer:

y = 0.125x² - 0.5x + 3.5

Hope that this helps!

Answer:

y = 0.125x² - 0.5x + 3.5

Step-by-step explanation:

I dont know if its correct hope it helped

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

Answer:

Dakota has 94 books, while Darius has 144.

Step-by-step explanation:

Given that Darius and Dakota are roommates, and together they have 238 books, if Darius has 50 more books than Dakota, to determine how many books does Dakota have the following calculation must be performed:

Dakota = X

Darius = X + 50

X + X + 50 = 238

2X + 50 = 238

2X = 238 - 50

X = 188/2

X = 94

Therefore, Dakota has 94 books, while Darius has 144.

Answer:1/9 gotchu fam

Step-by-step explanation:

Answer:

C. 3,632 boxes

Step-by-step explanation:

To solve this, we multiply 4/13 by 11,804 which gives 47,216/13, then when divided gives us 3,632.

Here's link to the answer:

tinyurl.com/wpazsebu

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

Let x be the width of the  rectangular family portrait  , then its length will be 2x-15.

I hope this is helpful!

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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Answer:

36 green marbles

Step-by-step explanation:

If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:

Green marbles = 60% x 60 marbles

To simplify this calculation, we can convert 60% to a decimal by dividing by 100:

Green marbles = 0.60 x 60 marbles

Green marbles = 36 marbles

Therefore, Rudy received 36 green marbles.

Answer: 36

Step-by-step explanation:

60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36

Answer:

\(236.715\:\mathrm{ft^2}\)

Step-by-step explanation:

The area of the figure consists of a rectangle and two half-circles.

Area of rectangle: \(15\cdot 4=60\)

Area of two half-circles: \(2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764\)

Thus, the total area of the figure is

\(60+ 176.714586764\approx \boxed{236.715}\)

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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Answer: 9/1

Step-by-step explanation: Apologies for the mistake. Let's calculate the probability again.

To find the probability of rolling a sum of 9 on two number cubes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

For a sum of 9, the following combinations are favorable:

(3, 6), (4, 5), (5, 4), (6, 3)

So, there are 4 favorable outcomes.

The total number of possible outcomes is still 6 × 6 = 36.

The probability of rolling a sum of 9 is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 36

Simplifying the fraction, we get:

Probability = 1 / 9

Therefore, the probability of rolling a sum of 9 is 1/9, not 11/18 as previously stated.

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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\(7.24 * 10^4 - 7.21 * 10^3\) in scientific notation is \(6.519 * 10^4\).

What is scientific notation?

Scientific notation is a way of expressing a number as a number between 1 and to multiplied by a power of 10.

To subtract these two numbers, we need to make sure they have the same exponent. We can do this by rewriting \(7.21 * 10^3\) as \(0.721 * 10^4\) (since \(7.21 * 10^3 = 0.721 * 10^4\)).

Now we can perform the subtraction:

\(7.24 * 10^4 - 0.721 * 10^4 = 6.519 * 10^4\)

Therefore, \(7.24 * 10^4 - 7.21 * 10^3\) in scientific notation is \(6.519 * 10^4\).

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Answer:

Co-interior angles adds to 180

54+75=129

180-129=51

? Is 51 degrees

Hope this helps!

Answer:

51

Step-by-step explanation:

/_xwv =54

/_vxw = 75

if xwv = 54 then xyv = 54

and if vxw= 75 then xvy = 75

so vxy = 180-(75+54)

= 51

The data set of daily maximum temperature over 12 days for a city or zip code shows that the distribution is slightly skewed to the right with a mean of 8.6 degrees Fahrenheit, a median of 8.8 degrees Fahrenheit, a variance of 7.5 and a standard deviation of 2.75 degrees Fahrenheit.

The data set given is a sample of daily maximum temperatures over 12 days. The temperatures given in the data set are in degrees Fahrenheit. The descriptive statistics for this data set include the mean, median, variance, and standard deviation. The mean temperature is 8.6 degrees Fahrenheit, the median temperature is 8.8 degrees Fahrenheit, the variance is 7.5 and the standard deviation is 2.75 degrees Fahrenheit.

The mean and median are close to each other, which indicates that the distribution is roughly symmetric. The variance and standard deviation also suggest that the temperature fluctuates significantly. Overall, the data suggest that the daily maximum temperature in the given city or zip code is relatively moderate, but it may vary greatly from day to day.

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