When a cylinder is intersected by a plane parallel to the bases, what is the resulting cross-section?.

Step-by-step explanation:

point c

..................

1.Ans:
Actual formula or equation = 300x +12200 (note: Assume "x" as years)
Highland new population = 300 x (number of years) +12200
example: it's been 2 years
300 x 2 + 12200 = 12800 is the new population

2. Ans:
Actual formula or equation= 21000 - 250x
Lowville new population= 21000 - 250 x (number of years)
example: it's been 4 years
21000 - 250 x 4 = 20000 is the new population

3. Ans: Population is equal after

12200 + 300x = 21000 - 250x

300x + 250x = 21000 - 12200 (note: put number with x on same side)

x = 8800/550

x = 16 years

4. Ans: $50 + ($30 x w) is the equation for Emma's Bank account balance
Let W be number of weeks

5. Ans: $70 + ($25 x w) is the equation for James's Bank account balance

6. Ans: W represents number of weeks
since $50 and $70 is start up money for Emma and James it is there until closing the account.

7. Ans: I do not understand this question im sorry

8. Ans: It will take Emma 9 weeks to save up enough money to buy a bicycles
$50 +($30 x 9) = $320

9.Ans: It will take James 10 weeks to save up enough money to buy a bicycles
$70 +($25x10) = #320

10.Ans: Assuming they have to escape now and not wait 9 or 10 weeks like i said in previous answer then they need to flee on foot.

11. Ans: In 5th week Emma's is left with 0 money and in 7th week James is left with 0 money

12. Ans: They should go to highland if they want to minimize their risk of getting caught.

Answer: 27

Step-by-step explanation:

\(Mean=\frac{16 + 25 + 23 + 12 + 17 + x}{6}=20 \\16 + 25 + 23 + 12 + 17 + x=20(6)\\93+x=120\\x=120-93=27\)

Answer:

27 years old

Step-by-step explanation:

There are originally 5 people in the room.

Their ages are: 16, 25, 23, 12, 17

The sum of their ages is: 93

One person enters the room. That person's age is unknown, so we call it x.

The sum of the ages of the 6 people is:

x + 93

There are 6 people in the room now, so the mean age is (total age divided by number of people):

(x + 93)/6

We are told the mean age is 20.

(x + 93)/6 = 20

x + 93 = 120

x = 27

Answer: 27 years old

Answer:

are you lonly

Step-by-step explanation:

Answer:

vvv ahah hopefully it helps

Step-by-step explanation:

11.  pi is irrational number since you can't write it down as a non-infinite decimal

12. .5 is rational since its a terminating decimal

13. .3 repeating is rational b/c it's represented as a ratio of two integers

The elimination method is a technique used to solve a system of linear equations by eliminating one variable at a time.

If the coefficients of the variables are already the same, no multiplication is necessary and you can simply add or subtract the equations to eliminate the variable.

y = 9x - 23

y = x + 1

9x - y = 23

x - y = -1

8x = 24

x = 3

3 - y = -1

y = 4

x + y = 3

x - y = 7

2x = 10

x = 5

5 + y = 3

y = 3 - 5

y = -2

7x - 4y = -11

7x - 10y = 25

6y = -36

y = -6

7x - 4(-6) = -11

7x = -11 + 24

x = 13/7

4x - 2y= - 30 ---- x1

-x - 2y = 5 ----- x4

4x - 2y = -30

-4x - 8y = 20

-10y = -10

y = 1

4x - 2(1) = -30

x = -7

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Answer:51 degrees

Step-by-step explanation:

At noon the temperature is 75 degrees

the temperature drops 3 degrees every half hour.

First solve for time elapsed between noon and 4, which is 4 hours.

Next, we can change our rate to be in terms of full hours instead of half hours using the fact that 1 hr = 2 half hours, so the temperature drops 6 degrees every hour.

Four hours have elapsed so multiply 6*4 = 24 degrees and then subtract it from the starting 75

75 - 24 = 51.

Answer:

Option (3). x < 3

Step-by-step explanation:

Given function is a logarithmic function,

\(y=\text{ln}[\frac{(-x+3)}{2}]\)

We know that logarithm is defined for all positive real numbers except zero.

\(\frac{(-x+3)}{2}>0\)

(-x + 3) > 0

-x > -3

x < 3

That means the given logarithmic function is defined for all real values lees than 3.

And the domain of the function will be x < 3

Option (3) will be the answer.

Answer:

x < 3        Option C on E2020.

Step-by-step explanation:

Answer:

e: 0.25n=24

s: n=96

Step-by-step explanation:

Answer:

Answer:

e: 0.25n=24

s: n=96

Answer:

Step-by-step explanation:

The domain of this relation (not a function) is x = -5.  The relation is not defined for any other x value.

Answer:

B) {-5}

Step-by-step explanation:

The graph of the line is x=-5 where the domain is {-5} and the range is (-∞,+∞) making B the correct choice

Answer:

2,620.

Step-by-step explanation:

thats the answer. have a nice day!

The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})

List five vectors in Span {v_1, v_2}?

1) V1+v2={8,2,-7 }+{-6,4,0 }

={2,6,-7}

2) 2v1+v2={16,4,-14}+{-6,4,0}

={10,8,-14}

3)2v1+2v2={16,4,-14}+{-12,8,0}

={4,12,-14}

4)V1-v2={8,2,-7}-{-6,4,0}

={14,-2,-7}

5)2v1-v2={16,4,-14}-{-6,4,0}

={22,0,-14}

All of these vectors are contained within the span.

{v1,v2}={av1+bv2:ab∈r}

A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about   Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram       has      20     pens       and       7       pencils,

Rohan    has      15     pens       and       5       pencils,

Yash       has      12     pens       and       3       pencils

Now, this could be arranged in tabular form as follows,
⎢20  7⎢
⎢15   5⎢                            
⎢12   3⎢        

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Answer:

I think possible equations could be

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The speed of the particle is 8 m/s, the force of resistance is \(0.3(8)^2\), or 19.2 N.

A particle of mass 1.2 kg is moving with a speed of 8 m/s in a straight line on a horizontal table. A resistance force is applied to the particle in the direction of the motion. The magnitude of the force is proportional to the square of the speed, such that \(F=0.3v^2\)

The force of resistance is an opposing force that acts to reduce the speed of the particle. As the particle moves faster, the resistance force increases. The force is proportional to the square of the speed, meaning that if the speed doubles, the force is multiplied by four. The force is also in the same direction as the motion, meaning that it will reduce the speed of the particle.

The equation for the force of resistance is \(F=0.3v^2\), where v is the speed of the particle. Therefore, if the speed of the particle is 8 m/s, the force of resistance is \(0.3(8)^2,\) or 19.2 N. This means that the force of resistance acting on the particle is 19.2 N.

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Answer:

Yes

Step-by-step explanation:

Given that:

128 ounces of food is provided for the dogs to feed for 7 days :

Dogs :

Buster consumes 20.5 ounces in 2 days

Roxy consumes 22.5 in 3 days

Buster's consumption per day = 20.5 / 2 = 10.25 ounces

Roxy's consumption per day = 22.5 / 3 = 7.5 ounces

Total daily consumption :

(10.25 + 7.5) ounces = 17.75 ounces

Total consumption for 7 days :

17.75 ounces * 7 = 124.25 ounces

Hence, the 128 ounces of food provided will be enough

To find the market price at which expenditure is greatest, we need to take the derivative of the expenditure equation with respect to p, set it equal to zero, and solve for p. So the value of P is $16.67
E = px = 10,000 - 200p², where p is the market price per unit.

Now, we need to find the maximum of E(p). To do this, we can differentiate E(p) with respect to p and set the result equal to zero:
dE(p)/dp = 10,000 - 400p.
dE/dp = x - 400p
Setting dE/dp equal to zero:
x - 400p = 0
x = 400p
Substituting the demand equation for x:
10,000 - 200p = 400p
Solving for p:
600p = 10,000
p = $16.67
Therefore, the market price at which expenditure is greatest is $16.67.
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The absolute extrema of the function for interval are: (a) minimum(2, -4) and maximum (-1, 1), (b) minimum (DNE) and  maximum (5, 5), (c) minimum (2, -4) and maximum DNE. (d) minimum (2, -4) and maximum DNE.

(a) To find the absolute extrema of the function f(x) = x^2 - 4x on the interval [-1, 4], first find the critical points by taking the derivative and setting it to zero:

f'(x) = 2x - 4
2x - 4 = 0
x = 2

Now, evaluate the function at the critical point and the endpoints of the interval:

f(-1) = 1
f(2) = -4
f(4) = 0

The minimum value occurs at x = 2 with y = -4, and the maximum value occurs at x = -1 with y = 1. Therefore, the minimum is (2, -4) and the maximum is (-1, 1).

(b) For the interval (2, 5), the only critical point within the interval is x = 2, but it's not included in the interval. Therefore, the minimum does not exist (DNE). The maximum occurs at x = 5 with y = 5, so the maximum is (5, 5).

(c) On the interval (0, 4), the critical point x = 2 is within the interval. Evaluate the function at the critical point and the endpoints:

f(0) = 0
f(2) = -4
f(4) = 0

The minimum value occurs at x = 2 with y = -4, but there is no maximum value. So, the minimum is (2, -4) and the maximum is DNE.

(d) For the interval [2, 6), the critical point x = 2 is included in the interval. Evaluate the function at the critical point and the endpoints:

f(2) = -4
f(6) = 20

The minimum value occurs at x = 2 with y = -4, and there is no maximum value. Therefore, the minimum is (2, -4) and the maximum is DNE.

Note: The question is incomplete. The complete question probably is: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = x^2 - 4x (a) (-1,4) (b) (2, 5) (c) (0, 4) (d) (2, 6).

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Answer:

Your equation in standard form would be:

3x - y = 3

Answer:

y = x - 1

Step-by-step explanation:

Sorry! I just realized this is the wrong form and I can't figure out how to delete my answer.

Answer:

b=1

Step-by-step explanation:

1) Distribute

6+7b-7=5+b

2) Combine like ter,s

7b-1=5+b

3) Isolate variable

6b=6

4) Solve

b=1

Answer:

b = 1

Step-by-step explanation:

6 + 7b - 7 = 5 + b

7b - b = 5 - 6 + 7

6b = 6

b = 1

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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Answer:

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Explicación paso a paso:

Para que una relacion sea proporcional

a:b = c:d

en otra forma

a/b = c/d

______________________________________________

Proporción para el primer tipo de tejido

costo de tela/ área de tela = 31.25/5 = 6.25

Ratio para otro tipo de tejido

costo de tela/ área de tela = 71.50/11 = 6.5

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Step-by-step explanation:

the correct answer is a. likely to be due to true differences between the groups.

If we say we have statistically significant results, it means that the results are likely to be due to true differences between the groups. Statistical significance is a term used in hypothesis testing to determine if the observed differences between groups are likely to be real and not due to chance.

When conducting a statistical analysis, researchers compare the data from different groups or samples to see if there is a significant difference between them. This involves calculating a p-value, which represents the probability of obtaining the observed results if there were no true differences between the groups.

If the p-value is less than a predetermined threshold, typically 0.05, then the results are considered statistically significant. This means that the likelihood of obtaining the observed results by chance alone is very low, and it is more likely that the differences between the groups are due to a real effect.

For example, let's say we conduct a study to compare the effectiveness of two different treatments for a medical condition. If we find that the p-value is less than 0.05, we can conclude that there is a statistically significant difference between the treatments, and the observed improvement in one group is likely to be due to the treatment itself rather than random chance.

In summary, when we say we have statistically significant results, it means that the observed differences between groups are likely to be due to true differences rather than chance. This provides evidence for the presence of a real effect or relationship between the variables being studied.

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To multiply a polynomial by a monomial, you must first identify the terms in the polynomial, as well as the factors in the monomial. Once you have identified the components, use the distributive property to multiply each term of the polynomial by the monomial. Then, combine like terms and simplify the resulting polynomial.

For example:

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The length of AB which is a diameter of the circle is equal 52 m using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

The hypotenuse of the right triangle ADC is a radius and twice the length of the radius is that of the diameter so;

radius = √(10² + 24²)

radius = √(100 + 576)

radius = √676

radius = 26

diameter AB = 2 × 26 = 52m

Therefore, the length of AB which is a diameter of the circle is equal 52 m using the Pythagoras rule.

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The solutions to the equation -x² + 2x = 0 are x = -1 and x = 2, which are the x-intercepts of the graph y = -x² + x + 2

To solve -x² + 2x = 0 using the graph y = -x² + x + 2, we need to first find the x-intercepts. These are the points where the graph intersects the x-axis, which are the solutions to the equation -x² + x + 2 = 0.

We can see from the graph that the vertex of the parabola is at (0.5, 2.25). Since the coefficient of x² is negative, the parabola opens downwards. This means that it intersects the x-axis twice, once on either side of the vertex.

To find the x-intercepts, we can draw a horizontal line at y = 0, which represents the x-axis. This line intersects the parabola at two points: (-1, 0) and (2, 0). These are the solutions to the equation -x² + 2x = 0.

We can also verify our answer by drawing the line y = 2x and seeing where it intersects the parabola. This line passes through the vertex and intersects the parabola at (-1, 3) and (2, 4). These points are symmetrical to the x-axis and have the same y-value, which confirms that they are the x-intercepts.
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The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

C) $2.15

Step-by-step explanation:

                           $10.00

                        -  $_7.85

                           $ 2.15    

Answer:

  91/4 simplified = 22 3/4

work:

subtract find answer then simplify :)

Hope this helps

Answer:

Step-by-step explanation:

Unfortunately, I cannot answer this question without additional information about the distances traveled and the time taken by Reiko to travel from point A to point B and back to point A.

The speed at which Reiko traveled is calculated as distance divided by time. Therefore, we need to know both the distance and time for each leg of the journey to determine the speed.

Without this information, it is not possible to determine whether Reiko traveled from A to B at a speed greater than 40 miles per hour.

The sample of size 36 provides the strongest evidence to reject H0 in favor of Ha

B) = 27, S = 4.

An testing whether the population mean (μ) is less than 30 based on a sample of size 36. The test statistic commonly used in this scenario is the t-statistic which follows a t-distribution.

The formula for the t-statistic is

t = (X - μ) / (S / √(n))

where:

X is the sample mean

μ is the hypothesized population mean under H0

S is the sample standard deviation

n is the sample size

A smaller t-statistic value indicates stronger evidence against H0 and in favor of Ha.

calculate the t-statistic for each sample result

A) X= 28, S = 6, n = 36

t = (28 - 30) / (6 / √(36)) = -2 / (6/6) = -2

B) X= 27, S = 4, n = 36

t = (27 - 30) / (4 / √(36)) = -3 / (4/6) = -4.5

C) X = 32, S = 2, n = 36

t = (32 - 30) / (2 / √(36)) = 2 / (2/6) = 6

D) X = 26, S = 9, n = 36

t = (26 - 30) / (9 / √(36)) = -4 / (9/6) = -8/3 ≈ -2.67

Comparing the t-statistics,  that option B) with t = -4.5 gives the strongest evidence against H0. A more negative t-value indicates a larger deviation from the hypothesized mean of 30, which supports the alternative hypothesis that the true mean is less than 30.

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