A student finished 8 of her homework problem in class. IF the ratio of problems she finished to problems she still had left was 4: 1, how many homework promblems did she have total?

Answer:

K 70,000 / 0.20

Step-by-step explanation:

The above obtained relation can be used to find df(0) / dz as we now have df/dr (dr/dz) evaluated at z=0. Thus,df(0) / dz = 2 * 0 / (-dx - 2jdx) = 0. Hence, the required solution is df(0) / dz = 0.

Given complex function is f(z) = x2 + jy2. We are supposed to find df(0) / dz.Solution:To find df(0) / dz, we need to first find f(z) as a function of z. Since, f(z) = x2 + jy2, we have, f(z) = |z|2. Now, we have, |z|2 = (x+iy) (x-iy) = x2 + y2 = r2. Differentiating this with respect to z, we get,df / dz (|z|2) = df / dz (r2) = 2r dr/dz. Now, we need to find dz. This can be found using the following relation, dz = dx + jdy.

Thus, we have,dz = dx + jdy = 1/2 (dz + d\bar{z}) + j 1/2 (dz - d\bar{z}) = (dx - dy)/2 + j (dx + dy)/2. 

Therefore,

df/dz = df/dr (dr/dz)

= 2r / (dx - dy - 2jdx). T

he above obtained relation can be used to find df(0) / dz as we now have df/dr (dr/dz) evaluated at z=0.

Thus, df(0) / dz = 2 * 0 / (-dx - 2jdx) = 0. Hence, the required solution is df(0) / dz = 0.

To find df(0) / dz, we need to first find f(z) as a function of z.

Since, f(z) = x2 + jy2,

we have, f(z) = |z|2.

Now, we have, |z|2 = (x+iy) (x-iy) = x2 + y2 = r2.

Differentiating this with respect to z, we get,

df / dz (|z|2) = df / dz (r2) = 2r dr/dz. 

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Answer:

40% and 196

Step-by-step explanation:

The computation of the number of people visit the museum on wednesday is shown below:

Given that

On monday, the visitors are 100

And, on tuesday, the visitors are 140

Now the percentage change would be

= (140 - 100) ÷ (100) × 100

= 40%

Now the visitors as on wednesday is

= 140 + 140 × 0.40

= 140 + 56

= 196

Answer:

58.6667

Step-by-step explanation:

32 calls/ 3 hours = 10.6667 calls/hour

10.6667 calls/hour x 5.5 hours = 58.6667, or 58 2/3 calls in 5.5 hours

The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).

In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),

Using the distance formula, we can set up the following equation:

√[(x - (-1))² + (y - 5)²] = √2,

Simplifying this equation,

We get,

(x + 1)² + (y - 5)² = 2,

This equation represents a circle with center (-1, 5) and radius √2.

So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).

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a) With regard to Edward, single deposit would he need to make now into an account that pays 4.3% interest, compounded daily, to meet his goal  is $32,526.67.

b) The total interest that he would pay on this loan is given as follows: $2,160.

c) The finance charge is $295.84

A) Let the Principle be P

amount here A= $50,000

time n= 10 years n= 10 x 36 5= 3650 days

rate of interest= 4.3% compounded daily= 4.3/365

let us use compound interest formula to calculate the principle

A = P (1 + (r/100)ⁿ

putting all the values we get

50000 = P (1 + (4.3/(100 x 365))⁽¹⁰ ˣ ³⁶⁵)

on solving we get P =  $32,526.67

therefore he need to deposit $32,526.67

B)

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation shown as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

P is the value of the initial deposit.

r is the interest rate, as a decimal.

Considering this equation, the interest accrued is given as follows:

I(t) = Prt.

In the context of this problem, the values of these parameters are given as follows:

P = 7500, r = 0.064, t = 4.5.

Hence the interest accrued on the payment is obtained as follows;

I(4.5) = 7500 x 0.064 x 4.5 = $2,160.


C)

We know that,

Finance charge = Total Amount Paid - Original cost

As the original cost of the drum is = $1972

She paid 20% as down payment. So the amount of down payment is,

1972 x 20/100 = $394.40

She has to pay 36 monthly payments of $52.04 each. So the amount to be paid is,

= 36 x 52.04 = $1873.44

So the total amount paid will be,

=  $1873.44 + 394.40 = $2267.84

Therefore, the finance charge is 226.84 - 1972 = $295.84

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0.8 is greater than 0.3 an image is attached to show the plotting on the number line.

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Given, are two decimals 0.3 and 0.8.

We know 0.3 lies between 0 and 0.5 and 0.8 lies between 0.5 and 1.

∴ 0.8 > 0.3.

The plotting of the numbers is attached in the image.

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The sample size is 289.

Zα/2 = \(Z_{0.025}\)

= 1.96  

Sample size = n

n = [Zα/2* σ / E] 2

n = [1.96 * 26 / 3 ]2

n = 288.54

n = 289.

In records, the pattern size is the measure of the number of man or woman samples used in an experiment. As an example, if we are testing 50 samples of folks that watch tv in a town, then the sample length is 50.

An awesome sample length is normally 10% as long because it no longer exceeds a thousand. A very good sample length is commonly around 10% of the populace, as long as this doesn't exceed one thousand. for example, in a populace of 5000, 10% could be 500. In a populace of 200,000, 10% would be 20,000.

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Answer:

C. r y = x (x, y) → (y, x).

Step-by-step explanation:

It appears that the triangle was reflected over the line y = x. According to the Coordinate Rules of Reflection, (x, y) would change and become (y, x). That resembles option C. r y = x (x, y) --> (y, x).

Hope this helps!

Answer:

Your answer would be letter C.

Step-by-step explanation:

Took the quiz and got it right on edge2020

Answer:

6(a - 5)(b - 2)

Step-by-step explanation:

60 + 6ab - 30b - 12a

Factor out the common term 6:

= 6(10 + ab - 5b - 2a)

Rearrange:

= 6(ab - 2a - 5b + 10)

Factor:

= 6(a - 5)(b - 2)

Answer:

5

1

20

4

35

7

45

9

50

10

Step-by-step explanation: each table holds 5 people, multiply the number of tables by 5 or divide the number of people by 5 to see how many tables needed

Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

The probability of a child under 18 being allergic to multiple foods is approximately 32%. This means that out of every 100 children with an allergy, we would expect 32 of them to be allergic to more than one food.

To solve this problem, we need to use the information provided in the question. We know that 32% of those with an allergy are allergic to multiple foods. This means that out of every 100 people with an allergy, 32 of them are allergic to more than one food.

If we assume that allergies are equally common in all age groups, then we can use this percentage to estimate the probability of a child under 18 being allergic to multiple foods. However, it is important to note that this assumption may not be entirely accurate, as some allergies are more common in children than in adults.

Assuming that allergies are equally common in all age groups, the probability of a child under 18 being allergic to multiple foods is approximately 32%. This means that out of every 100 children with an allergy, we would expect 32 of them to be allergic to more than one food.

It is important to note that this is just an estimate based on the information provided in the question. In reality, the probability of a child being allergic to multiple foods may be higher or lower depending on a variety of factors such as genetics, environment, and diet.

In order to get a more accurate estimate of the probability of a child being allergic to multiple foods, we would need to collect more data and analyze it using statistical methods. However, based on the information provided in the question, we can conclude that there is a significant likelihood that a child under 18 with an allergy is also allergic to multiple foods.

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Answer:

D

Step-by-step explanation:

a right angle is 90° so if it's complementary, both angles have add up to 90° and 70° + 20° = 90°

Answer:

700,000, 100+80+2, 9,000

We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.

Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)

Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C

Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17

Hence, the position of the body at time t is 9t + 17 units.

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Answer:

The simplest form of 50:30 is 53.

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\text{Simplify the ratio 50:30}\)

\(\\\textsf{Finding your GCF}\downarrow\\\\\textsf{30: 1, 2, 3, 5, 10, 15, 30}\\\textsf{50: 1, 2, 5, 10, 25, 30}\\\\\bold{GCF: \underline{10}}\large\checkmark\)

\(\large\text{DIVIDE BOTH of the TERMS by 10}\)

\(\mathsf{50\div10=5}\\\mathsf{30\div10=3}}\)

\(\large\text{We had to reduce the ratio of 50:30 to your LOWEST TERMS}\\\large\text{by DIVIDING each of the TERMS by 10}\)

\(\bold{Thus, that\ means\ that\ 50:30\ is\ simplified\ to \rightarrow 5:3}\)

\(\boxed{\boxed{\huge\text{Answer: \bold{5:3}}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The common ratio of the sequence is 0.4 .

What is geometric sequence ratio ?

  Each term in a geometric sequence is found by multiplying or dividing the previous term by the same amount, this is called the common ratio. To find the common ratio, start by calculating the difference between each pair of numbers, moving from one term to the next.

Here the given sequence is ,

=> \(\frac{35}{2},7 , \frac{14}{5},\frac{28}{25}\)

Here the first term \(a_1\) = \(\frac{35}{2}\) and \(a_2=7\)

Now the common ratio is r = \(\frac{a_2}{a_1}\)

=> r = \(\frac{7}{\frac{35}{2} }\)

=> r = \(\frac{7*2}{35}\)

=> r = \(\frac{2}{5}\)

=> r = 0.4

Therefore the common ratio is 0.4 .

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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The absolute maximum and minimum values of f are 1 and -1, respectively.

The given function is f(x) = sin(x)

, where 0 <= x <= 2π.Sketch the graph of f by hand:graph of f(x) = sin(x)

(where 0 <= x <= 2π)

Use the graph of f to find the absolute and local maximum and minimum values of f.

The absolute maximum value of f is 1, which occurs at x = π/2.

The absolute minimum value of f is -1, which occurs at x = 3π/2.

The local maximum values of f are 1, which occur at x = π/2 + 2πk

(k = 0, ±1, ±2, ...), and the local minimum values of f are -1, which occur at

x = 3π/2 + 2πk

(k = 0, ±1, ±2, ...).

Thus, the absolute maximum value of f is 1, and it occurs at x = π/2, and the absolute minimum value of f is -1, and it occurs at x = 3π/2.

The local maximum values of f are 1, which occur at x = π/2 + 2πk

(k = 0, ±1, ±2, ...), and the local minimum values of f are -1, which occur a

t x = 3π/2 + 2πk (k = 0, ±1, ±2, ...).

Hence, the absolute maximum and minimum values of f are 1 and -1, respectively.

The local maximum values of f are 1, which occur at x = π/2 + 2πk (k = 0, ±1, ±2, ...), and the local minimum values of f are -1,

which occur at x = 3π/2 + 2πk (k = 0, ±1, ±2, ...).

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Answer:

22

Step-by-step explanation:

180 is a straight line to minus 77 equals 103 degrees left.

Subtract 15 from 103 to get 88.

now to get x from 4x you divide 88 with 4 to get...

x = 22

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

f(x)= 10,000(2)^x

Step-by-step explanation:

Exponential equations can be modeled by a(r)^x where a is the initial amount, r is the difference, and x is how many units the equation should be squared by.

A function that describes the bacteria population after d days would be,\(\bold{f(d) = 10000\times(1+0.15)^d}\)

An exponential growth function is a function that grows at a constant percent growth rate.

f(t) = a×(1 + r)^(t)

where f(t) = exponential growth function

a = initial amount

r = growth rate

t = number of time intervals

For given example,

initially a bacteria population (a) = 10,000

Five days later, they find that the population has doubled.

d = 5, f(5) = 20,000

Assuming it grows exponentially, we find the growth rate of a bacteria population by using the formula of exponential growth function.

\(\Rightarrow f(d) = a\times(1 + r)^{d}\\\\\Rightarrow f(5) = 10000\times (1+r)^5\\\\\Rightarrow 20000=10000\times (1+r)^5\\\\\Rightarrow 2=(1+5)^5\\\\\Rightarrow 1+r=\sqrt[5]{2}\\\\\Rightarrow 1+r = 1.15\\\\\Rightarrow r = 1.15-1\\\\\Rightarrow \bold{r = 0.15}\\\\\Rightarrow \bold{r=15\%}\)

This means, the exponential growth function would be,

\(\bold{f(d) = 10000\times(1+0.15)^d}\), where d represents number of days.

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(b)To solve the differential equation, we have to find the roots of the characteristic equation. So, the characteristic equation of the given differential equation is: r² + r = 0. Therefore, we have the roots r1 = 0 and r2 = -1. Now, we can write the general solution of the differential equation using these roots as: y(t) = c₁ + c₂e⁻ᵗ, where c₁ and c₂ are constants. To find these constants, we need to use the initial conditions given in the question. y(0) = 1, so we have: y(0) = c₁ + c₂e⁰ = c₁ + c₂ = 1. This is the first equation we have. Similarly, y'(t) = -c₂e⁻ᵗ, so y'(0) = -c₂ = 0, as given in the question. This is the second equation we have.

Solving these two equations, we get: c₁ = 1 and c₂ = 0. Hence, the general solution of the differential equation is: y(t) = 1. (c)Now, we can use the result obtained in part (b) to solve the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0. We can rewrite the given differential equation as: y" = 2t - y'. Substituting the general solution of y(t) in this equation, we get: y"(t) = -e⁻ᵗ, y'(t) = -e⁻ᵗ, and y(t) = 1. Therefore, we have: -e⁻ᵗ = 2t - (-e⁻ᵗ), or 2e⁻ᵗ = 2t, or e⁻ᵗ = t. Hence, y(t) = 1 + c³, where c³ = -e⁰ = -1. Therefore, the solution of the initial value problem is: y(t) = 1 - t.

Part (b) of the given question has been solved in the first paragraph. We have found the roots of the characteristic equation r² + r = 0 as r₁ = 0 and r₂ = -1. Then we have written the general solution of the differential equation using these roots as y(t) = c₁ + c₂e⁻ᵗ, where c₁ and c₂ are constants. We have then used the initial conditions given in the question to find these constants.

Solving two equations, we got c₁ = 1 and c₂ = 0. Hence, the general solution of the differential equation is y(t) = 1.In part (c) of the question, we have used the result obtained from part (b) to solve the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0. We have rewritten the given differential equation as y" = 2t - y' and then substituted the general solution of y(t) in this equation. Then we have found that e⁻ᵗ = t, which implies that y(t) = 1 - t. Therefore, the solution of the initial value problem is y(t) = 1 - t.

So, in conclusion, we have solved the differential equation y" + y' = 2t and the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0.

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Answer:

Step-by-step explanation:

H = V/ pie r^2

H = \(\frac{2200pie}{Pie 5^2}\)

R= 5 because the radius is half the diameter

Pies cancel out leaving you with:

H = 2200/5^2

H = 2200/25

H = 88

Hope this helps :)

The chef should use 4.44 oz of ingredient A, 2.22 oz of ingredient B, and 9 oz of ingredient C to make a 90 oz dish.

To find the number of ounces of each ingredient, we set up a system of equations. Let's denote the ounces of ingredient A, B, and C as x, y, and z, respectively.

According to the recipe, the total amount of the dish is 90 oz, so our first equation is x + y + z = 90.

We also know the specific amounts of each ingredient: 4 oz of ingredient A, 2 oz of ingredient B, and 9 oz of ingredient C. To express this information in equation form, we multiply the amounts by their respective variables and sum them up: 4x + 2y + 9z = 90.

Now, we have a system of equations:

x + y + z = 90

4x + 2y + 9z = 90

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All the images from A-G are single rotated or single reflected versions of image W.

What is rotation?

The circular movement of an object about a centre is referred to as rotation. Different forms can be rotated by an angle about their central point. A rotation is a map in mathematics. The rotation group of a particular space refers to all rotations around a fixed point that form a group beneath a structure.

Figures A to G are images of W.

The figure W has coordinates (0,0), (0,4) and (-2,4).

Other images are either rotated or reflected.

Figure A has coordinates (0,0), (0,4) and (2,4).

This gives the formula as (x, y) → (-x, y).

(-x, y) is the formula for reflection over y axis.

Therefore, image W reflected over y axis forms image A.

Figure B has coordinates (0,0), (4,0) and (4,2).

This gives the formula as (x, y) → (y,-x).

(y,-x) is the formula for rotation of 90° in clockwise direction.

Therefore, image W rotated 90° clockwise forms image B.

Figure C has coordinates (0,0), (4,0) and (4,-2).

This gives the formula as (x, y) → (y, x).

(y, x) is the formula for reflection over (y = x) axis.

Therefore, image W reflected over (y = x) axis forms image C.

Figure D has coordinates (0,0), (0,-4) and (2,-4).

This gives the formula as (x, y) → (-x,-y).

(-x,-y) is the formula for rotation of 180°.

Therefore, image W rotated 180° forms image D.

Figure E has coordinates (0,0), (0,-4) and (-2,-4).

This gives the formula as (x, y) → (x, -y).

(x, -y) is the formula for reflection over x axis.

Therefore, image W reflected over x axis forms image E.

Figure F has coordinates (0,0), (-4,0) and (-4,-2).

This gives the formula as (x, y) → (-y, x).

(-y, x) is the formula for rotation of 90° in counter-clockwise direction.

Therefore, image W rotated 90° counter-clockwise forms image F.

Figure G has coordinates (0,0), (-4,0) and (-4,2).

This gives the formula as (x, y) → (-y, -x).

(-y, -x) is the formula for reflection over (y = -x) axis.

Therefore, image W reflected over (y = -x) axis forms image G.

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Answer:

A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!

Step-by-step explanation:

Hope this helped :)✨

Given:

The population of N = 9 scores is 4, 2, 0, 5, 3, 2, 1, 7, 3

Required:

Sketch a histogram showing the population distribution.

Explanation:

Make a frequency table for the given data as:M