Factorize completely the expression (m+n)(2x-y)-x(m+n)

The coordinates of point E are (7.5, 25.5). The midpoint formula is used to find the coordinates of the midpoint of a line segment. In this case, we find the average of the x-coordinates and the average of the y-coordinates of points F and G.

The coordinates of point E can be found by using the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates.

In this case, the coordinates of point F are (11, 24) and the coordinates of point G are (4, 27). To find the coordinates of point E, we need to find the midpoint of the line segment FG. The x-coordinate of the midpoint can be found by taking the average of the x-coordinates of F and G:
(x1 + x2) / 2 = (11 + 4) / 2 = 7.5

The y-coordinate of the midpoint can be found by taking the average of the y-coordinates of F and G:
(y1 + y2) / 2 = (24 + 27) / 2 = 25.5. Therefore, the coordinates of point E are (7.5, 25.5).

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Answer:

See below

Step-by-step explanation:

At 160 miles, Maya will have less gas by what looks like a gallon (hard to tell becuase the picture is blurry)

At 200 miles they have the same amount of gas, Maya still has less gas remaining

Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

Equations are mathematical statements with the equals (=) sign on each side and two algebraic expressions in the center.

Coefficients, variables, operators, constants, terms, and the equal to sign are just a few of the components that make up an equation. The "=" symbol and terms on both sides are always needed when writing an equation.

calculation

Let s = brittany 's age now

Let t = steve's age now

s = 3t

s + 9 = 2 (t+9)

s + 9 = 2t + 27

s = 2t + 27 - 9

s = 2t + 18

Substitute 3t for s and find t

3t = 2t + 18

3t - 2t = 18

t = 18 yrs is steve's age

then

s = 3(18)

s = 54 yrs is brittany's age

Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

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Answer:

1.176471

Step-by-step explanation:

that is in its simplest form!

Answer:

1 3/17

Step-by-step explanation:

the fraction would be 20 / 17

if you simplify it then it would be 1 3/17

Answer:

Equations: 40-7=33 and 33÷11=3

Step-by-step explanation:

40-7=33

Since there are 3 sides,(q) then you do 33 divided by 3=11.

Equations: 40-7=33

And

33÷11=3

Answer: a) b - 3

              b) 4b - 3

Step-by-step explanation:

b) b + 2b + b - 3

= 4b -3

Answer:

a)  b - 3

b)  4b - 3

Step-by-step explanation:

Mandy scores b points in a basketball game:

Jay scores 3 points less than Mandy:

Kareem scores 2 times as many points as Mandy:

Therefore, the number of points Jay scores in terms of b is b - 3.

To find the total number of points the three players score in terms of b, sum the three expressions:

⇒ b + (b - 3) + 2b

⇒ b + b - 3 + 2b

⇒ 2b - 3 + 2b

⇒ 4b - 3

Therefore the total number of points the three players score in terms of b is 4b - 3.

To change the period of oscillation from 1.5 s to 2.0 s, you need to add 0.753 kg of mass to the initial 0.5-kg mass. Any physical body's fundamental characteristic is mass. Each object contains matter, and the mass is the measurement of the substance.

To find out how much mass must be added to the 0.5-kg mass suspended from a spring to change the period from 1.5 s to 2.0 s, follow these steps:

1. Write down the formula for the period of oscillation of a mass-spring system, which is given by \(T = 2\pi \sqrt(m/k)\) , where T is the period, m is the mass, and k is the spring constant.

2. Determine the initial period (T1) and mass (m1): T1 = 1.5 s and m1 = 0.5 kg.

3. Calculate the spring constant using the initial period and mass. Rearrange the formula to solve for k:

\(k = m1/[T1/(2\pi )]^2.\)

Plug in the values:

\(k = 0.5 kg / [1.5 s / (2\pi )]^2 \approx 1.178 kg/s^{2}\)

4. Determine the desired period (T2): T2 = 2.0 s.

5. Calculate the new mass (m2) required for the desired period using the formula: \(m2 = k \times [T2 / (2\pi )]^2.\)

Plug in the values: \(m2 = 1.178 kg/s^{2}  \times [2.0 s / (2\pi )]^2 \approx 1.253 kg.\)

6. Find the additional mass needed: \(\Delta m = m2 - m1 = 1.253 kg - 0.5 kg = 0.753 kg.\)

So, to change the period of oscillation from 1.5 s to 2.0 s, you need to add 0.753 kg of mass to the initial 0.5-kg mass.

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Answer:

birr 40,000

Step-by-step explanation:

Given that :

Shares owns by a man in a business =  \($\frac{3}{4}$\)

Fraction of the shares sold by the man = \($\frac{1}{3}$\)

Amount for which the shares were sold = 10,000 birr

Let the value of the business of the ma be = x

Therefore, according to the question,

\($\frac{1}{3} \text{ of } \left(\frac{3}{4}x\right) = 10000$\)

\($\Rightarrow \frac{1}{4}x = 10000$\)

\($\Rightarrow x = 4\times10000$\)

       = 40,000

Therefore, the value of the share is birr 40,000

Answer:

31

Step-by-step explanation:

Answer:

Store B and Its $1.20 cheaper if you buys five packs of strawberries from store B

The correct interpretation of the confidence interval is: “We are 95% confident that the population mean number of hours adults spend on formal exercise each week lies between 0.45 and 7.94.”


Option (a) is the correct interpretation because a confidence interval provides a range of values within which the true population mean is likely to fall. In this case, based on the researcher’s sample and statistical analysis, there is a 95% confidence that the true population mean number of hours adults spend on formal exercise per week is between 0.45 and 7.94 hours.

This interpretation takes into account the uncertainty inherent in statistical estimation and provides a range rather than a specific value. The other options either refer to the sample mean or imply probabilities, which are not accurate interpretations of a confidence interval.

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The requried equivalent fraction is 7/4. Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

here,
7/6 divided by 2/3
= 7/6 ÷ 2/3
= 7/6 × 3/2
= 7/4

Thus, the requried equivalent fraction is 7/4. Option B is correct.

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Answer:

a) 49

b) 100 (I'm assuming that the 2 was supposed to be a square)

Step-by-step explanation:

Substitute the value in for x (the value being 7):

7² = 49

(7 + 3)² = (10)² = 100

Answer:

\(y= 2x-1\) (3rd option)

Step-by-step explanation:

Long and tedious way: it goes through the points (1;1) and (-1;-3). it's a system of equation in m and q. It works, it tells us nothing about what the two things are.

More interesting: the slope of a line measures how much y varies when x varies by 1 unit. It's easy to spot that for an increase of 1 anywhere in the graph - but we're going to pick a convenient spot, ie from 0 to 1 - we have an increase in y from -1 to 1: 2 units. Our slope is then 2. The intercept tells us where the line crosses the y axis, ie at -1. We can then build our equation: \(y= (slope)x + (intercept)\\y= 2x + (-1) = 2x-1\)

Possible causal reasons for the correlation between time spent playing video games and aggression are:

1. Video games cause aggression: This suggests that playing violent video games leads to aggressive behavior. To study this causal hypothesis, one possible approach would be to randomly assign participants to play either a violent or non-violent video game for a certain amount of time and then measure their level of aggression using a standardized aggression scale. This could be repeated with different samples to increase the reliability of the results.

2. Aggressive individuals seek out violent video games: This suggests that individuals who are already predisposed to aggression are more likely to choose to play violent video games. To test this hypothesis, researchers could administer an aggression scale to participants before asking them to report how often they play video games, and what types of games they prefer. The correlation between aggression scores and the amount of time spent playing violent video games would then be calculated.

3. A third variable is responsible for the relationship: This suggests that there is a third variable that causes both increased video game play and aggression. For example, this third variable could be stress levels, which may increase the likelihood of both playing video games and displaying aggressive behavior. To study this hypothesis, researchers could measure stress levels in participants and then ask them to report how often they play video games and their level of aggression. The correlation between stress levels and both video game play and aggression could then be calculated.

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Based on the cost to reserve a party, and the cost per person, the table that represents the possibilities of the total cost of the party is the third table.

The total cost when a single person comes for the party:

= Cost of reserving party + Cost per person

= 100 + 10

= $110

When 5 people come:

= 100 + (5 x 10)

= $150

When 9 people come:

= 100 + (9 x 10)

= $190

The table that shows this is table 3.

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The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process

The t-value will be equal to 1.39 for the given statistics.

To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.

The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:

H0: µ ≤ 5.5

The alternative hypothesis is that the mean processing time is greater than 5.5 hours:

Ha: µ > 5.5

We will use a significance level of 0.05.

The formula for the t-test statistic is:

t = (X - µ) / (s / √n)

Where:

X = sample mean

µ = hypothesized population mean

s = sample standard deviation

n = sample size

Substituting the given values, we get:

t = (6 - 5.5) / (2 / √21) = 1.386

The degree of freedom for the t-test is n-1 = 20.

Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.

Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.

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Step-by-step explanation:

add 36 to both sides to cancell out -36

-36+36=0

8+36=44

x<44

so all values for x are less than 44

Hope that helps :)

Please give brainliest

The simplest radical form of the expression (8x^4y^5)^(2/3) is 4∛(x^8y^10).

To find the simplest radical form of the expression (8x^4y^5)^(2/3), we can simplify the exponent and rewrite the expression using the properties of exponents.

First, let's simplify the exponent 2/3. Since the exponent is in fractional form, we can interpret it as a cube root.

∛((8x^4y^5)^2)

Next, we apply the exponent to each term within the parentheses:

∛(8^2 * (x^4)^2 * (y^5)^2)

Simplifying further:

∛(64x^8y^10)

The cube root of 64 is 4:

4∛(x^8y^10)

Therefore, the simplest radical form of the expression (8x^4y^5)^(2/3) is 4∛(x^8y^10).

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Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2. H0 (null hypothesis) is accepted.

we can infer that -

95 % CI for mean  9.1744 to 10.8256

Since p >0.05 accept null hypothesis.

standard deviation sigma not known.  df = 24

H0:  x bar = 9.5

Ha: x bar not equals 9.5

t-statistic  1.250

P = 0.2234

We fail to reject null hypothesis

There is no statistical evidence at 5% level to fail to reject H0

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The length of LN in the triangle below is (LN)²=33²-11². It is obtained by applying the pythogorous theorem in the triangle MLN. Option A is correct,

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometric function.

According to Pythagoras, the sum of the squares of two sides equals the square of the longest side.

In triangle MLN applies the pythogorous theorem;

\(\rm h^2=p^2+b^2 \\\\ MN^2=ML^2+LN^2 \\\\ 33^2=11^2+LN^2 \\\\ LN^2=33^2-11^2\)

Hence option A is correct.

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Answer:

\(4 \frac{23}{40}\; \rm miles\)

Step-by-step explanation:

To find how many more miles Ada lives from her grandmother's house than her aunt's house, we need to subtract the distance to her aunt's house from the distance to her grandmother's house.

Ada lives 17 3/8 miles from her grandmother's house.

Ada lives 12 4/5 miles from her aunt's house.

Convert both mixed numbers into improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(17 \frac{3}{8}=\dfrac{17 \cdot 8+3}{8}=\dfrac{139}{8}\)

\(12 \frac{4}{5}=\dfrac{12 \cdot 5+4}{5}=\dfrac{64}{5}\)

As both improper fractions have a different denominator, we need to change both fractions into equivalent fractions with the same denominator. To do this, find the least common multiple (LCM) of the denominators, 8 and 5.

The LCM of 8 and 5 is 40. Therefore, convert the fractions into their equivalent fractions (with 40 as their denominator) by multiplying the numerator and denominator by the same number:

\(\dfrac{139}{8}=\dfrac{139 \cdot 5}{8 \cdot 5}=\dfrac{695}{40}\)

\(\dfrac{64}{5}=\dfrac{64 \cdot 8}{5 \cdot 8}=\dfrac{512}{40}\)

Now the fractions have the same denominator, we can carry out the subtraction by simply subtracting the numerators:

\(\dfrac{695}{40}-\dfrac{512}{40}=\dfrac{695-512}{40}=\dfrac{183}{40}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(183 \div 40=4\;\rm remainder \;23\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(4 \frac{23}{40}\)

Therefore, Ada lives 4 23/40 miles more from her grandmother's house than her aunt's house.

Answer:

B IS THE ANWSER

Step-by-step explanation:

.

Answer:

B or D

Step-by-step explanation:

The value of x in the given diagram is 6 (option d).

There are two right triangles in the given image. <PR'Q' and <PQR are right triangles. A right triangle is a triangle that has an angle that measures 90 degrees.

The principle of similar triangles would be used to solve for the required values.

x/9 = 10 / 15

In order to determine the value of x, cross multiply:

15x = 9 x 10

15x = 90

Divide both sides of the equation by 15

x  = 90 / 15

x = 6

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Answer:

i actuaaly dont know im sorry

Answer:

29/150

Step-by-step explanation:

Probability is the number of times a certain value is obtained out of the total number of attempts.

If Carol got 6 29 times out of 150, then the probability of getting a 6 = 29/150.

This can be written as a percent or decimal too = 0.193 = 19.3%

Hope this helps.

Good Luck

Answer:

T(s)'s domain is A

Hope This Helps!!!

Answer:

d

Step-by-step explanation:

the shirts are only 10 dollars so that means that the domain is all negative numbers that are either equal to or less than 10, not the multiples.

1) 13:3

2) Same

3) 49:12

4) 95:14

5) 82:13

6) 7:8

7) 9:2

8) 29:5

9) Same

10) 10:13

Your basically dividing them by each other on a calculator

E.g. 90 ÷117 = 10/13

(10:13)

Or

20:30

20÷30=2/3

(2:3)

So, you could find the HCF of both numbers.

( highest factor of 20 & 30 is 10)

Hope this helps!

The function written in the rational form is, C. F(x) = (x - 5)/3x

Rational numbers are subsets of real numbers which can be written in the form of p/q, where q ≠ 0. As at q = 0 it is undefined.

Similarly, A rational expression is also written in the form of p/q, where p and q are algebraic expressions and q ≠ 0.

From the given options, F(x) is written in the form p/q,

Where, p = x - 5 and q = 3x.

Therefore, The rational function is, F(x) = (x - 5)/3x, where x ≠ 0.

As at x = 0 the function is undefined.

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The required dimensions of a rectangular rancher with perimeter for fencing, 3000 feet are equal the 500 feet and 375 feet at maximum area of 3,75,000 ft².

We have a rancher which to construct adjacent, equally sized rectangular pens with the fencing of 3000 feet. Suppose that the rancher need to be fenced in the way shown in the attached figure. Then, the perimeter is 4x + 3y = 3000

=> x \( =\frac{3000 - 3y}{4} \).

The area of rectangle is represented by A=L × W --(1) , where L and W are dimensions of rectangles. The total area will be A = 2× x × y --(2)

=> A = 2× (\(\frac{3000 - 3y}{4}\))× y

= ( \( 1500 - \frac{3y}{2} \))y

= \( 1500y - \frac{3y²}{2} \)

Now, differentiate above area function, with respect to y, and equate to 0, for determining the critical points on the graph, \(\frac{dA}{dy} \) = A'(y) =\( 1500 - \frac{6y}{2} \) = 0

=> y = \(\frac{1500}{3} = 500 \)

Also, x \( =\frac{3000 - 3× 500}{4} \).

\( =\frac{1500}{4} = 375 \).

Maximum area = 375 × 500 × 2 = 375000 ft². Hence, the dimensions that will give the maximum area are 500 feet and 375 feet.

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Complete question : attached figure complete the question.