Can someone help me please

The estimated answer of 40 is close to Keira's answer of 38.6. This suggests that her answer is reasonable.

One way Keira can check if her answer is reasonable is to use estimation.

She can round the numbers in the original division problem to the nearest multiples of 10, which makes the calculation easier, and check if the estimated answer is close to her actual answer. That is:

123.52 is approximately 120, and 3.2 is approximately 3. So the division problem becomes:

120 / 3 = 40

This estimated answer of 40 is close to Keira's answer of 38.6, which suggests that her answer is reasonable.

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Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160

To find the length of a rectangle with given coordinates, you need to use the distance formula. The distance formula is a mathematical formula that is used to find the distance between two points in a plane.

The distance formula is given by -

d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points, and d is the distance between the points.

To find the length of a rectangle, you will need to use the distance formula to find the distance between two points that are on opposite sides of the rectangle. For example, you can use the distance formula to find the length of the rectangle by finding the distance between the points \((x_1, y_1)\)and \((x_2, y_2)\), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of two points on opposite sides of the rectangle.

For example, consider a rectangle with the following coordinates:

(1, 1); (1, 5); (5, 5); and (5, 1)

To find the length of this rectangle, you can use the distance formula to find the distance between the points (1, 1) and (1, 5). The distance formula is:

d =\(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

= \(\sqrt{(1 - 1)^2 + (5 - 1)^2}\)

=\(\sqrt{0 + 16}\)

= \(\sqrt{16}\)

= 4

Therefore, the length of the rectangle is 4 units.

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The equivalent expression for the derivative of f(g(x)) with respect to x is (f'(g(x))) (g'(x)), according to the chain rule.

Given that g(x) = 2ln(x+1) and f(x) is a differentiable function, we want to find the derivative of f(g(x)) with respect to x. We can use the chain rule to determine an equivalent expression for this derivative.

According to the chain rule, if we have a composite function y = f(g(x)), then the derivative of y with respect to x is given by the product of the derivative of f with respect to its argument multiplied by the derivative of g with respect to x.

In this case, g(x) is the inner function and f(u) is the outer function. Applying the chain rule, we have:

d/dx [f(g(x))] = f'(g(x))  g'(x)

Here, f'(u) represents the derivative of f with respect to its argument, and g'(x) represents the derivative of g with respect to x.

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a) The statement "If f′(x) = g′(x) for all x, then f(0) = g(0)" is false. It is not necessary for the functions f and g to have the same value at 0. A counter-example is when f(x) = x + 1 and g(x) = x. In this case, f′(x) = g′(x) = 1, but f(0) ≠ g(0). Hence, the given statement is false.

b) The statement "If f′(x) > sin(x) + 2 for all x ∈ R, then there is no solution to the equation ef(x) = 1" is also false. The inequality f′(x) > sin(x) + 2 tells us that the slope of f is greater than sin(x) + 2 for all x in the real line. This implies that f(x) is strictly increasing. As f(x) is strictly increasing, it is one-to-one and therefore has an inverse. The equation ef(x) = 1 has a solution if and only if f(x) = 0, and this equation has a solution if and only if x = f⁻¹(0). So, it is enough to show that f(x) = 0 has no solution. If it had a solution, then f(x) = 0 would have a solution for some x in R. However, since f(x) is strictly increasing, it is never equal to 0, so it has no solution. Hence, the given statement is false.

c) The statement "If f is strictly increasing and g is strictly decreasing, then both fog and gof are strictly decreasing" is also false. Let's consider the composition functions fog and gof. Since f is strictly increasing, we have f(x₁) < f(x₂) whenever x₁ < x₂. Similarly, since g is strictly decreasing, we have g(y₁) > g(y₂) whenever y₁ < y₂.

Now let h = fog. We want to show that h is strictly decreasing. To do this, let y₁ < y₂ and consider h(y₁) - h(y₂) = f(g(y₁)) - f(g(y₂)). Since f is strictly increasing and g is strictly decreasing, we have g(y₁) > g(y₂), so f(g(y₁)) < f(g(y₂)), and hence h(y₁) < h(y₂). Therefore, h is strictly decreasing.

On the other hand, let k = gof. We want to show that k is strictly decreasing. To do this, let x₁ < x₂ and consider k(x₁) - k(x₂) = g(f(x₁)) - g(f(x₂)). Since f is strictly increasing and g is strictly decreasing, we have f(x₁) < f(x₂), so g(f(x₁)) > g(f(x₂)), and hence k(x₁) > k(x₂). Therefore, k is strictly increasing.

Hence, the given statement is false.

Thus, the true statements among the given options are:

a) If f′(x) = g′(x) for all x, then f(0) = g(0) is false.

b) If f′(x) > sin(x) + 2 for all x ∈ R, then there is no solution to the equation ef(x) = 1 is false.

c) If f is strictly increasing and g is strictly decreasing, then both fog and gof are strictly decreasing is false.

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Answer:

-15/16

Step-by-step explanation:

Both of the 7/16's cancel each other out.

Answer:

7/15

Step-by-step explanation:

easy as 1 2 3 na na naaaaaa he he he

a) The cost of the stereo system is $4,760.

b) The total amount of interest paid is $1,760.

To find the cost of the stereo system, we need to calculate the sum of the down payment and the total of monthly payments over 4 years. The down payment is $400, and the monthly payment is $90 for 48 months (4 years). Thus, the total cost of the stereo system is $400 + ($90 × 48) = $4,760.

To calculate the total amount of interest paid, we need to subtract the initial principal amount (down payment) from the total cost of the stereo system. The initial principal amount is $400, and the total cost is $4,760. Therefore, the total interest paid is $4,760 - $400 = $1,760.

In summary, the cost of the stereo system is $4,760, and the total amount of interest paid is $1,760.

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A p-value of 0.02 means that there is a 2% chance of observing the results (or more extreme results) under the null hypothesis, assuming that the null hypothesis is true.

The null hypothesis is a statement that there is no significant difference between groups or no significant relationship between variables.

In other words, if we conducted the same study multiple times and the null hypothesis was true in all cases, we would expect to see results as extreme as the ones we observed in 2% of those studies.

A p-value of 0.02 is considered statistically significant if the conventional significance level (also known as the alpha level) is set at 0.05 or lower.

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What does a P value of 0.02 mean?

Dividing the given equation by 25 we get:

Applying the natural logarithm to the above equation we get:

Finally, solving for x we get:

Answer: Option A.

The foci of the ellipse given by the equation 225x^2 + 144y^2 = 32400 can be found by identifying the major and minor axes of the ellipse and using the formula for the foci coordinates. The foci of the ellipse are located at (±c, 0). Therefore, the foci are approximately (±15.87, 0).

The equation of the ellipse can be rewritten in standard form:

(225x^2)/32400 + (144y^2)/32400 = 1

We can identify the major and minor axes of the ellipse by comparing the coefficients of x^2 and y^2. The square root of the denominator gives the lengths of the semi-major axis (a) and semi-minor axis (b) of the ellipse.

a = sqrt(32400/225) = 24

b = sqrt(32400/144) = 18

The foci of the ellipse can be calculated using the formula:

c = sqrt(a^2 - b^2)

c = sqrt(24^2 - 18^2)

c = sqrt(576 - 324)

c = sqrt(252)

c ≈ 15.87

The foci of the ellipse are located at (±c, 0). Therefore, the foci are approximately (±15.87, 0).

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_________________________________

Solution,

30% of 400

= 30/100*400

=120

120 yellow water bottles were in the shipment.

Hope it helps

Good luck on your assignment

__________________________________

Answer:

C

Step-by-step explanation:

This looks like a case of multiplying the number of X's by the respective number below it.

For example: the 1/2 has 3 X's, so we multiple (1/2)(3), making it (3/2) or 1.5

Next is the 1 having 2 X's, so (2)(1) is 2

Continuing that trend we get the following

1.5, 4, 2.5, and 3.

So all of our totals are 1.5, 2, 1.5, 4, 2.5, and 3.

Our last step will be adding all these answers together.

1.5 + 2 = 3.5

+ 1.5 = 6

+ 4 = 10

+ 2.5 = 12.5

and finally +3 = a grand total of 15.5 or 15 1/2

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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Answer:

0,10

9,7

10,6

3,10

7,8

1,4

10,8

0,3

0,5

7,6

Step-by-step explanation:

The domain and range of the function for this situation include:

C. Domain: 0 ≤ t ≤ 25,

Range: 0 ≤ A(t) ≤ 250, where A(t) = 250 - 10t

A domain is a collection of potential input values. All input values visible on the x-axis make up the graph's domain. The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range for a relation.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

For her birthday, Jackie's grandfather gifted her $250. Jackie pleaded with her mother to set aside money for her and limit her weekly checks to $10. The function can be used to determine how much money is left each week.

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The probability of landing on Deep Space Transmitter is 2 out of 16 spins, or 2/16, which simplifies to 1/8 or 12.5%.

Based on the data, the probability of landing on Deep Space Transmitter is 2 out of 16 spins, or 2/16, which simplifies to 1/8 or 12.5%.

Probability is a numerical value, ranging from 0 to 1, assigned in the delineation of the likelihood of an event happening.

A 0 mark portrays that an incident is inconceivable, while a 1 proposes that it will certainly arise. In order to measure probability, one must split the favored outcomes by the sum total of prospective happenings in given circumstances.

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Kimberly just got a new board game, Adventures in Space. Each player is gl

eship to start. When players land on a square with a picture of a rocket, they spin the

her and get a special part to put onto their spaceship. The spinner is divided into six

qual sections. Before the game starts, Kimberly spins the spinner 16 times to see what

gets.

Escape pod = 2 times

Asteroid shield = 1 time

Teleport pad = 3 times

Turbo boost button = 4 times

Deep space transmitter = 2 times

Antimatter generator = 4 times

based on the data, what is the probability of the transmitter landing on deep space transmitter

Answer:

3.6

Step-by-step explanation:

divide 36 by 10 be sure it's the easiest part

Answer:

Unit rate per year is :---

\( \frac{(50.4 - 7.2)}{(14 - 2)} = \frac{43.2}{12} = \boxed{3.6 \: feet \: per \: year} \\\)

Answer:

74x7=518

so she need 518 cup of sugars

1) The missing angles are;

z = 57°

v = 118°

w = 62°

2) The missing angles are;

b = f = g = 24°

a = e = 132°

c = d = 180° - 24°

h = i = 156°

G = 48°

1) Using concept of supplementary angles, we can say that;

z = 180 - 123

z = 57°

Similarly;

v = 180 - 62

v = 118°

Using the concept of alternate angles, we can say that;

w = 62°

We know that sum of angles in a straight line is 180°. Thus;

x = 180 - 57 - 62

x = 61°

2) Using the concept of isosceles triangles, we can say that;

b = f = g = 24°

Thus;

a = e = 180 - (24 + 24)

a = e = 132°

Also;

c = d = 180° - 24°

h = i = 156°

G = 180 - 132

G = 48°

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There are 9 possible schedules to play basketball such that dave can play on monday or wednesday or both which is union of two set .

so this question seems like we have to take union of ways of palying on monday or wednesday

let n(m) be number of ways of playing on monday

n(w) be number of ways of playing on wednesday

we have to find n(m∪w)

n(mUw) = n(m) +n (w) - n(m∩ w)

so n(m) = \(4_C__2\) as one day is now fixed which is monday so we have 4 available days and 2 days to play.

n(m) = \(4_C__2\)  = 6

similary n(m) = n(w) = 6

now  n(m∩w) = \(3_C__1\) as now we have  2 fixed day and we have 3 day remaining and only one day to play.

n(m∩w) = \(3_C__1\) =3

now n(mUw) = n(m) +n (w) - n(m∩ w)

=> 6 + 6 -3

=> 12 - 3

so n(mUw) = 9

so we have 9 schedules to paly keeping condition given in the question.

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Answer:

Length of the shorter diagonal is 8.68 cm.

Step-by-step explanation:

Length of the side AB = 11 cm

Length of side BC = 5 cm

Angle between these sides, m∠ABC = 50°

By cosine rule in ΔABC,

AC² = AB² + BC² - 2AB.BC.cos B

AC² = (11)² + 5² - 2(11)(5)cos50°

AC² = 121 + 25 - 70.71

AC = √(75.29)

AC = 8.68 cm

By the property of parallelogram,

m∠B + m∠C = 180° [Interior consecutive angles]

50° + m∠C = 180°

m∠C = 130°

Similarly, In ΔBCD,

BD² = BC² + CD² - 2BC.CD.cos130°

BD² = (5)² + (11)² - 2(5)(11)cos130°

BD² = 25 + 121 + 70.71

BD² = 216.71

BD = 14.72 cm

Therefore, length of the shorter diagonal will be 14.72 cm.

Answer:

$3.75

it's pretty simple you multiply $3.25 times the amount of days he spent the money so 5 which gives you $16.25 then subtract that out of $20 and you'll have $3.75 (:

Step-by-step explanation:

Answer:

x^2 + y^2 = 3^2

Step-by-step explanation:

Start with (x - h)^2 + (y - k)^2 = r^2.

If the center is at (0, 0), we then have x^2 + y^2 = r^2.

If this circle passes through (0, 9), then 0^2 + 9^2 = r^2, and r must be 3.

Then the standard equation of this circle i

x^2 + y^2 = 3^2

Answer:

6 children passes

Step-by-step explanation:

a = adult and c = children

25a + 15c = 440           and          a + c = 20

                                                     c = 20 - a

25a + 15(20-a) = 440

25a + 300 - 15a = 440

25a - 15a = 440 - 300

10a = 140

a = 140/10

a = 14 and this is 14 adult tickets

Now we plug the a value into the equation to find the c value

14 + c = 20

c = 20 - 14

c = 6

Verify answer:

25(14) = 15(6) = 440

350 + 90 = 440

440 = 440

Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

Please rate me brainliest

Answer:

Easy -2x

Step-by-step explanation:Because both a positive y and a negative y cancle out eachother so all thats left is both of the negative x's

Answer:

No solution.

Step-by-step explanation:

(1/12)^-2b * 12^(-2b + 2) = 12

1/12 is basically the same thing as 12^-1.

12^(-1 * -2b) * 12^(-2b + 2) = 12

12^2b * 12^(-2b + 2) = 12

12^(2b - 2b + 2) = 12

12^2 = 12

Since the answers don't match up, the answer will be no solution.

Hope this helps!

Answer:

no solution

Step-by-step explanation:

(1/12) ^ (-2b) + 12 ^(-2b+2) = 12

Rewriting 1/12 as 12 ^ -1

(12^ -1) ^ (-2b) + 12 ^(-2b+2) = 12

We know a^b^c = a^ ( b*c)

(12) ^ (-1*-2b) + 12 ^(-2b+2) = 12

(12) ^ (2b) + 12 ^(-2b+2) = 12

We know that a^ ( b+c) = a^ b * a^c

12 ^ 2b + 12 ^ -2b * 12 ^ 2 = 12

12 ^ 2b + 144  * 12 ^ -2b = 12

Let 12 ^ b = u

u^2 + 144/u^2 = 12

Multiply by u^2

u^4 +144 = 12u^2

Subtract 12 u^2

u^4 -12u^2 +144 =0

There is no real solution

Answer:

C

Step-by-step explanation:

Slope of first equation: -1/2; y-int: -1

Slope of second equation: 1/4; y-int: -4

Answer:

C:

y=  -1/2x -1

y=  1/4x -4

Step-by-step explanation:

Quick maths