Which expression is equivalent to (m−2n−3)−3? m6n9 m−6n−9 m−5n−6 1 over the quantity m raised to the fifth power times n raised to the sixth power end quantity

Answer:

x = - 5 , x = \(\frac{2}{3}\)

Step-by-step explanation:

the values of x that make f(x) zero are the zeros

to find the zeros let f(x) = 0 , that is

3x² + 13x - 10 = 0

consider the factors of the product of  the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

the factors are + 15 and - 2

use these factors to split the x- term

3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )

3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term

(x + 5)(3x - 2) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \(\frac{2}{3}\)

7889 grams of jam

Step-by-step explanation:

In 5544 grams of jam, 1757 grams of sugar ==> 31.69%

let x be the grams of jam

2500 grams of sugar ==> 31.69%

x grams of jam ==> 100%

\(x \times 31.69\% = 2500 \\ x = 2500 \div 31.69\% \\ x = 7888.92 \: grams \\ x = 7889 \: grams \: (nearest \: whole \: number)\)

The measure of the supplement of angle GEF is calculated as: 140 degrees.

The supplement of an angle is the angle that, when added to the original angle, forms a straight line or 180 degrees. In other words, the supplement of an angle is the angle that completes the original angle to make it a straight angle.

For example, if the original angle is 30 degrees, then the supplement of that angle is 150 degrees, because 30 + 150 = 180. Similarly, if the original angle is 75 degrees, then the supplement of that angle is 105 degrees, because 75 + 105 = 180.

Given that the measure of angle GEF is 40°, to find the measure of the supplement of angle GEF, subtract 40 from 180.

Therefore:

The measure of the supplement of angle GEF = 180 - 40

= 140 degrees.

Learn more about supplement of an angle on:

https://brainly.com/question/12919120

#SPJ1

Answer:

1.325 x 10 -2

Step-by-step explanation:

That is the answer and I know 100% that it is correct

A student with a GPA of 2.57 is estimated to have worked approximately 15 hours each week.

To estimate the number of hours worked each week for a student with a GPA of 2.57, we can substitute the GPA value into the equation G = -0.0007h^2 + 0.011h + 3.01, where G represents the GPA and h represents the number of hours worked.

By substituting G = 2.57 into the equation, we get:

2.57 = -0.0007h^2 + 0.011h + 3.01

To find the approximate number of hours worked, we can solve this quadratic equation. However, since we are asked to round the answer to the nearest whole number, we can use estimation techniques or software to find the value.

Using estimation or a quadratic solver, we find that the approximate number of hours worked each week for a student with a GPA of 2.57 is around 15 hours. Please note that this is an estimate based on the given equation and the specific GPA value. The actual number of hours worked may vary depending on various factors and individual circumstances.

Learn more about quadratic equation here:

brainly.com/question/30098550

#SPJ11

Answer:$171.29

Step-by-step explanation:

if the tip amount is around $28.55 and your putting 20% it would $171.29 but it would determine how many people they are.

#1

\(\\ \rm\Rrightarrow Mean=\dfrac{10+7.5+7.5+9+12+8}{6}=\dfrac{54}{6}=9\)

#2

\(\\ \rm\Rrightarrow Mean=\dfrac{12+12+11.5+11.5+12.5+13}{6}=72.5/6\approx 12\)

The decision-maker is willing to pay a risk premium of $250 to eliminate the risk of lottery p', and a risk premium of $500 to eliminate the risk of lottery p?. Therefore, the decision-maker prefers lottery p?.

The decision-maker's utility function suggests that they have a logarithmic utility index, v(r) = In(2). To calculate the risk premia, we compare the expected utilities of the lotteries. For lottery p', the expected utility is E[v(p')] = (1/2) * v(-1000) + (1/2) * v(0) = (1/2) * In(2) + (1/2) * In(2) = In(2). For lottery p?, the expected utility is E[v(p?)] = v(-500) = In(2). Since both lotteries have the same expected utility, the decision-maker is indifferent between them in terms of expected utility.

However, the decision-maker is risk-averse, which means they prefer to eliminate risk when possible. To eliminate the risk of lottery p', the decision-maker is willing to pay a risk premium of $250 (which is half the difference between the potential losses of $1000 and $0). On the other hand, to eliminate the risk of lottery p?, the decision-maker is willing to pay a risk premium of $500 (the full potential loss amount).

Therefore, the decision-maker prefers lottery p? as they are willing to pay a higher risk premium to eliminate its risk.

Learn more about Decision Making

brainly.com/question/28900762

#SPJ11

Based on the price that Robin bought the watch and the price he sells it, his percentage loss is 30%.

This can be found by the formula:

= (Selling price - Purchase price) / Purchase price x 100%

Solving gives:

= (56 - 80) / 80 x 100%

= 24 / 80 x 100%

= 30%

In conclusion, Robin suffered a 30% loss.

Find out more on percentage loss at https://brainly.com/question/22882138.

#SPJ2

The area of the surface is  5/3 \(\sqrt{14}\)\(\pi\)

Consider that the part of the plane x+2y +3z=1 that lies inside the cylinder \(x^{2}\) + \(y^{2}\) =5

The surface area of an equation z= g(x,y) is given by the following formula:

\(\int\limits^d_d \sqrt {\alpha z/\alpha x]^{2} . [\alpha z/\alpha y]^{2} +1da\)

where the D is the domain of integration.

Since the plane lies inside the cylinder\(x^{2}\) + \(y^{2}\) = 5, we have the domain of

D= ( (r,0) |0 \(\leq\)r \(\leq\)\(\sqrt{5}\),0\(\leq\)θ\(\leq\)2\(\pi\))

The partial derivatives of z = 1/3 ( 1 - x - 2y) are

\(\alpha z/ \alpha x\) = 1/3, \(\alpha z / \alpha y\) = - 2/3

\(\int\limits^d_d \sqrt {[-1/3]^{2} . [-2/3]^{2} +1da\)

= \(\int\limits^d_d \sqrt{14} / 9 da\)

= \(\sqrt{14}/3 \int\limits^0_ {2^{\pi }\) \(\int\limits^\sqrt{5\)r dr dθ

Evaluating the integral we have

\(\sqrt{14}/3 \int\limits^0_ {2^{\pi }\)\(\int\limits^\sqrt{5\)rdrdθ = \(\sqrt{14} /3\) 2 \(\pi\) [ 5/2]

                           = 5/3 \(\sqrt{14}\)\(\pi\)

To learn more about the area of surface

https://brainly.com/question/2835293

#SPJ4

The value of f(x) are: f(x) = 2f(k) - 1, f(x) = f(k) + f(k + 1) - 1

To find the definition of f(x) for k, we need to substitute the given conditions into the equation and simplify.

For x = 2k - 1, where k is an integer, we have:

f(x) = 2f(0.5x + 0.5) - 1

Substituting x = 2k - 1:

f(2k - 1) = 2f(0.5(2k - 1) + 0.5) - 1

f(2k - 1) = 2f(k) - 1

For x = 2k, where k is an integer, we have:

f(x) = f(0.5x) + f(0.5x + 1) - 1

Substituting x = 2k:

f(2k) = f(0.5(2k)) + f(0.5(2k) + 1) - 1

f(2k) = f(k) + f(k + 1) - 1

Therefore, the definition of f(x) for k is:

For odd values of x: f(x) = 2f(k) - 1

For even values of x: f(x) = f(k) + f(k + 1) - 1

Learn more about specific values of function

brainly.com/question/29115251

#SPJ11

Answer:

x > 3

Step-by-step explanation:

A) The formula for inverse relationship M in terms of g is:

M = 375/g^3

B) By using the above formula, we will see that g = 15 when M = 1/9

An inversely proportional relation between y and x is written as:

y = k/x

Where k is the constant of proportionality.

We know that M is inversely proportional to g^3, then:

M = k/g^3

We also know that M = 24 when g = 2.5, then:

24 = k/(2.5)^3

24*(2.5)^3 = k = 375

Then the formula is:

M = 375/g^3

b) When M = 1/9 we have:

1/9 = 375/g^3

g^3 = 9*375

g = ∛(9*375) = 15

So when M = 1/9, the value of g is 15.

Learn more about inverse proportional relations:

https://brainly.com/question/1266676

#SPJ1

Answer:

Your friend made 35 bird houses.

Step-by-step explanation:

If the ratio from your houses to your friends houses is 4:5, that means that for every 9 houses built, your friend did 5. So, every 18 houses built, your friend did 10. For every 27, your friend did 15, and for 36, your friend did 20, and for every 45, your friend did 25, and for every 54, your friend did 30, and for every 63, your friend did 35.

Answer:

Answer:

I think the answers would be 12 and 9.

sorry if it's wrong...

Step-by-step explanation:

A. The table derived from the graph is:

Number of T-shirts (x): 1   2   3   4

Time in minutes (y):     5  10  15 20

B. The quantities are proportional.

If two variables of two quantities, x and y, are represented on a graph to show their relationship, they are proportional quantities if for every ratio of y to x, the value we get is the same, which means they have a constant of proportionality, k.

Using the points on the graph in the image attached below, the table can be completed as follows:

Part A:

Number of T-shirts (x): 1   2   3   4

Time in minutes (y):     5  10  15 20

Part B: Find the ratio of y to x for each of the points on the graph.

5/1 = 5

10/2 = 5

15/3 = 5

20/4 = 5

The ratio of y to x gives the constant of proportionality, k = 5, therefore, they are proportional quantities.

Learn more about proportional quantities on:

https://brainly.com/question/18170686

#SPJ1

The missing information are in the attachment below.

Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

Learn more about Revenue here:

https://brainly.com/question/25551247

#SPJ11

Answer:

To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:

z = (x - μ) / σ

Where:

x = ACT score of 31

μ = mean of ACT scores (28)

σ = standard deviation of ACT scores (2)

z = number of standard deviations away from the mean

Substituting the values, we get:

z = (31 - 28) / 2

z = 1.5

Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.

Answer:

Suppose that we have a circle of radius R.

The total perimeter of this circle will be:

P = 2*pi*R

Where pi = 3.14159...

Now, if we have a section of this circle with an angle A, the "chord" of this section will be:

C = (A/360°)*2*pi*R.

Where you can see that if A = 360° (so the section is the whole circle) the chord is equal to the perimeter.

In this particular case, the chord is equal to the radius of the circle, then we get:

C = R =  (A/360°)*2*pi*R

We need to solve this for A.

R =  (A/360°)*2*pi*R

We can divide both sides by R to get:

1 =   (A/360°)*2*pi

Now we need to isolate A.

(360°/2*pi) = A = 57.3°

This would be the angle in the minor arc.

And the angle for the mayor arc would be the difference between the angle for a whole circle (360°) and the angle of this section (57.3°)

The angle for the major arc is:

A = 360° - 57.3° = 302.7°

Here, x value of 8 would be located on the left tail of the normal distribution curve, 3.67 standard deviations below the mean (μ=22.3) and with a very low value in terms of percentile or probability (0.015%).

To indicate where the given x value of 8 would be on the curve, we need to plot it on a normal distribution curve with a mean (μ) of 22.3 and a standard deviation (σ) of 3.9.
First, we need to convert the given x value of 8 into a z-score by using the formula:  z = (x - μ) / σ
Plugging in the values, we get: z = (8 - 22.3) / 3.9 = -3.67
This means that the value of 8 is located 3.67 standard deviations below the mean.
Next, we need to find this point on the normal distribution curve. We can use a z-score table or a graphing calculator to find the corresponding area under the curve.
If we use a z-score table, we can look up the area to the left of -3.67, which is 0.00015. This means that only 0.015% of the data falls below this point.
To plot this on the curve, we can locate the mean (μ) and mark it as the center of the curve. Then, we can count 3.67 standard deviations to the left of the mean and mark this as the point where the value of 8 would be located.

Learn more about standard deviation here, https://brainly.com/question/475676

#SPJ11

P=80º

Start by doing 180-20 since N=20

M and P are congruent, so P = 160/2

P=80

Answer:

52%

Step-by-step explanation:

Since the amount of people included in the supposed survey was not included, you would have to multiply the amount of people by .52 (Example; 100×0.52=52 people)

By adding the percentages of red and blue, you get the total of both people who favor those colours. 32+20=52

The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.

A prism is a closed solid that has two parallel bases connected by a rectangle surface.

The height of a right triangular prism is 11/6 inches.

Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.

The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.

Then the surface area of the prism will be

\(\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2\)

More about the prism link is given below.

https://brainly.com/question/12649592

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

For similar question on mean length.

https://brainly.com/question/16971437  

#SPJ8

Answer:

HELLO CARA IT'S ME CONNIE, I MISS U SO MUCH!! <33

Answer:

Option C

Step-by-step explanation:

HHH → All heads

HHT → Two heads + one tail

HTH → Two heads + one tail

HTT → Two tails + one head

THH → One tail + two heads

THT → Two tails + one head

TTH → Two tails + one head

TTT → All tails

Therefore, At least two tails means → Sample space outcome with two tails Or all tails

Therefore, from the given options HTT is having two tails.

Option C is the correct option.

Answer:

27.26

Step-by-step explanation: