Please help me this is very hard for me

Answer:

he finished 20.045 miles in 1 hour

i think this is what the question is asking

Answer:

See Explanation

Step-by-step explanation:

Use the formula rate = distance/time

Rate= 26.2/1.307

Rate= 20.06 Mph

Answer:

m = 4

Step-by-step explanation:

-5m+10= -10

or, -5m = -10-10

or, m = -20/-5

or, m = 4

Answer:

Since PQRS is a rectangle and the area of PQRS is 84 cm², then:

PQ x PS = 84

Since PQRS is a rectangle, PS = QR, so we can substitute PS for QR:

PQ x QR = 84

We also know that XY is parallel to PS, so triangle RXY is similar to triangle RQS:

RY/QS = XY/PS

9/QS = XY/PS

QS = 9XY/PS

The area of PXYS is 21 cm², so:

XY x PS = 21

Substitute QS for 9XY/PS:

XY x (9XY/QS) = 21

Simplify:

9XY²/QS = 21

XY² = 21QS/9

Substitute QS for PQ, since PQ = QS:

XY² = 21PQ/9

Substitute 84/PQ for PQ in the above equation:

XY² = 21(84/PQ)/9

XY² = 196/PQ

Now we can substitute PQ for 84/XY in the equation PQ x QR = 84:

(84/XY) x QR = 84

QR = XY

Substitute QR for PS in the equation XY x PS = 21:

XY² = 21/XY

Multiply both sides by XY:

XY³ = 21

XY = ∛21

Since RY = 9 cm, we can find QS:

9/QS = ∛21/PS

QS = 9PS/∛21

Now we can substitute QS and XY into the equation XY x PS = 21 and solve for PS:

(∛21) x PS = 21/((9/∛21))

PS = (21/((9/∛21)))/∛21

PS = 7∛21

Finally, we can solve for a and b:

a = PQ - XY = (84/PQ) - (∛21)

Substitute PQ for 84/XY:

a = (XY²/84) - ∛21

Substitute XY for ∛21:

a = (∛21²/84) - ∛21

a = 1/4 - ∛21

b = RY - QS = 9 - (9PS/∛21)

Substitute PS for 7∛21:

b = 9 - (9(7∛21)/∛21)

b = -54/∛21 + 9∛21

Step-by-step explanation:

The integral I is equal tο 2πi times the sum οf the residues at the simple pοles. Since there are nο simple pοles inside οr οn C, the integral is zerο.

In cοmplex analysis, the residue refers tο the cοmplex number that represents the cοefficient οf the term with the pοwer οf -1 in the Laurent series expansiοn οf a functiοn arοund a singular pοint. It is used tο cοmpute the value οf cοmplex integrals using the residue theοrem and plays a significant rοle in the study οf cοmplex variables and cοmplex integratiοn.

Tο evaluate the integral I, we can use the residue theοrem alοng with the given suggestiοn.

First, let's observe that the polynomial \(q(z) = (z^2 - 1)^2 + 3\)has four zeros, which are the square roots of the numbers 1 + √3i and 1 - √3i. These zeros are not located on the rectangle C.

Next, consider the function f(z) = 1/q(z). We want to show that f(z) is analytic inside and on C, except at the points 1/3 + i√3 and -√3 + i. By the observation above, we can see that these points are not inside or on C.

Now, we can apply Theorem 2 from Section 76. According to the theorem, if p(z) and q(z) are analytic at a point zo, and p(zo) = 0, q(zo) = 0, and q'(zo) ≠ 0, then zo is a simple pole of the quotient p(z)/q(z), and the residue at zo is given by Res P(z) = p(zo) / q'(zo).

In our case, p(z) = 1 and \(q(z) = (z^2 - 1)^2 + 3\). The zeros of q(z) are not on the rectangle C, so the conditions of Theorem 2 are satisfied.

Therefore, the integral I is equal to 2πi times the sum of the residues at the simple poles. Since there are no simple poles inside or on C, the integral is zero.

In conclusion, I = 0.

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Answer:

14.43 years

Step-by-step explanation:

FV = PV (1+i)^n            

    FV = future value = 15100     PV = present value = 6000

     i = period interest in decimal  = .065/2 = =.0325

     n = periods = the question

15100 = 6000(1+.0325)^n

solve for n = 28.86 periods     or  14.43 years    (each period is 6 mos)

The greater principal is there for Account A as $400.

Simple interest can be defined as a type of interest where the rate is applied on the same principal.

Given that,

The interest for Account A is $15.75 and Account B is  $28.

The total time for interest is 21 months.

Rate of interest for Account A is  3% and Account B is 4%.

Now, the time period can be written in years as,

21 months = 21 / 12 years

                  = 7 / 4

Suppose the principal for Account A and Account B is P₁ and P₂ respectively.

The formula for simple interest is given as,

(P × r × t) / 100

Substitute the respective values for both the accounts to get,

For Account A,

15.75 = (P × 3 × 7 / 4) / 100

⇒ P = (1575 × 4) / (3 × 7)

⇒ P = 300

For Account B,

28 = (P × 4 × 7 / 4) / 100

⇒ P = 2800 / 7

⇒ P = 400

Hence, Account B had greater principal.

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The 18th term of the arithmetic sequence is 45.2, while the balance in an account with a $8,600 deposit and 12% annual interest after 5 years is $14,311.39. With a $6,284 deposit and 14% annual interest after 30 months, the account balance will be $7,463.17. Borrowing $1,709 at a 182% annual interest rate, the monthly payment for 16 months will be $202.06.

1. Arithmetic sequence: The formula to find the nth term of an arithmetic sequence is given by:

nth term = first term + (n - 1) * common difference

Here, the 4th term is given as 6 and the common difference is 2.9.   Plugging in these values, we can calculate the 18th term as follows:

18th term = 6 + (18 - 1) * 2.9 = 6 + 17 * 2.9 = 45.2

2. Compound interest: For the first scenario, where $8,600 is deposited into an account that pays 12% simple annual interest compounded monthly for 5 years, we can calculate the final balance using the formula for compound interest:

A = P * \((1 + r/n)^{(n*t) }\)

Here, P is the principal amount, r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values:

P = $8,600, r = 12% = 0.12, n = 12 (monthly compounding), t = 5

A = 8600 * \((1 + 0.12/12)^{(12*5)}\)= $14,311.39

3. Similarly, for the second scenario, where $6,284 is deposited into an account that pays 14% simple annual interest compounded monthly for 30 months:

P = $6,284, r = 14% = 0.14, n = 12 (monthly compounding), t = 30/12 = 2.5

A = 6284 * \((1 + 0.14/12)^{(12*2.5)}\) = $7,463.17

4. Monthly payment: To calculate the monthly payment amount for borrowing $1,709 from The Saver at a 182% simple annual interest rate, we can divide the total amount by the number of payments. The formula for calculating the monthly payment for a loan is:

Monthly payment = Total amount / Number of payments

Here, the total amount is $1,709 and the number of payments is 16. Plugging in the values:

Monthly payment = 1709 / 16 = $202.06

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Carson City cinemas charge $15 per adult, $12 per child, and $10 for senior citizens to purchase movie tickets. The equation relating a, c, and s for Carson City Cinemas' ticket sales is 15a + 12c + 10s = 1515.

To write an equation relating to a, c, and s, we can use the information given in the question. Let a be the number of adult tickets sold, c be the number of child tickets sold, and s be the number of senior citizen tickets sold.
The price for an adult ticket is $15, so the total amount collected from adult tickets is 15a. Similarly, the total amount collected from child tickets is 12c, and the total amount collected from senior citizen tickets is 10s.
Since the theatre collected a total of $1515 in ticket sales, we can set up the equation:
15a + 12c + 10s = 1515
This equation relates the number of adults, children, and senior citizen tickets sold to the total amount collected in ticket sales.
To solve for a, c, and s, we would need more information. However, we can use this equation to analyze different scenarios. For example, we could plug in different values for a, c, and s to see how it affects the total amount collected.
In summary, the equation relating a, c, and s for Carson City Cinemas' ticket sales is 15a + 12c + 10s = 1515.

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Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.

Answer

Other

Step-by-step explanation:

If it was linear, it would have 1 multiplier. If it was exponential, it would have a pattern.

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the question,

We have that:

The values of each composite function are:

a) -1

b) -1

c) 2

d) 0

e) 2

f) -4

We have,

These are composite functions.

It is written as:

(f o g) (x) = f (g(x))

Now,

From the table, the values for each function f and g at specific values x are taken.

a.

(f o g)(1)

f(g(1)) = f(0) = -1

b.

(f o g) (-1)

f(g(-1)) = f(0) = -1

c.

(g o f) (-1)

g(f(-1)) = g(-2) = 2

d.

(g o f) (0)

g(f(0)) = g(-1) = 0

e.

(g o g) (-2)

g(g(-2)) = g(2) = 2

f.

(f o f) (-1)

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

Thus,

The values of each composite function are:

-1, -1, 2, 0, 2, and -4.

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coordinates: (6,10), (11,15)

slope:

\(\sf \boxed{\frac{y2-y1}{x2-x1} }\)

using the formula:

\(\frac{15-10}{11-6}\)

\(\frac{5}{5}\)

\(1\)

equation:

y - y1 = m ( x - x1 )

y - 10 = 1(x-6)

y = x -6 + 10

y = x + 4

Sentence:

y is increasing by 1 with every increase in x by 1

Answer:

\(b=a+4\)

Step-by-step explanation:

First calculate the slope by using the slope formula:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

where m is the slope and \((x_1,y_1)\) and \((x_2,y_2)\) are two ordered pairs of the set.

Then use the point-slope form of the linear equation:

\(y-y_1=m(x-x_1)\)

Question d

\((a_1,b_1)=(6,10)\)

\((a_2,b_2)=(11,15)\)

\(\implies m=\dfrac{b_2-b_1}{a_2-a_1}=\dfrac{15-10}{11-6}=1\)

\(\implies b-10=1(a-6)\)

\(\implies b=a+4\)

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

266.9

Step-by-step explanation:

In order to find the circumference of a circle, you have to multiply the diameter by pi.

Circumference= 85 × 3.14

When multiplied this will get you 266.9

Answer:

6/8

Step-by-step explanation:

3/4

Multiply by 2/2

3/4 *2/2 = 6/8

Answer:

B would be your answer worked for me.

Step-by-step explanation:

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

1.5x10^-18

Step-by-step explanation:

8.4x10^9 / x = 5.6x10^27

You could make a proportion:

x(5.6 x 10^27)= 8.4x10^9

divide both sides by 5.6x10^27

x=1.5x10^-18

Answer:

\(1.5*10^{-18}\)

Step-by-step explanation:

The question is in the format \(\frac{8.4*10^9}{n}=5.6*10^{27}\)

First multiply both sides by n and then divide both sides by the number in scientific notation on the right.

\(\frac{8.4*10^9}{5.6*10^{27}}=n\)

We can think of this problem as \(\frac{8.4}{5.6}*\frac{10^{9}}{10^{27}}=\frac{8.4}{5.6}*10^9*10^{-27}\)

When dividing like-terms, we subtract their powers (or we can get the multiplicative inverse and add the powers).

We end up with \(1.5*10^{-18}\)

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:

move 50x on to the other side then move 500 to the other side too so that it reads 25x-50x *sign*250-500

Step-by-step explanation:

-25x*sign*-250 divide both sides by 25so answer x*sign*100

There are a total of 8 batteries of which 3 are dead. The probability that the first battery selected is dead is 3/8. Since there are no replacements, the probability that the next battery selected is also dead is 2/7.

The probability that at most one dead battery will be selected can be calculated using the following formula:Probability of selecting no dead batteries + Probability of selecting exactly one dead batteryThe probability of selecting no dead batteries is (5/8) × (4/7) = 20/56The probability of selecting exactly one dead battery is (3/8) × (5/7) + (5/8) × (3/7) = 30/56Therefore, the probability that at most one dead battery will be selected is (20/56) + (30/56) = 50/56 = 25/28.The answer is 25/28.

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The maximum range will be achieved when the angle is 45°, which is half of the full angle (90°) of a right angle.

The maximum angle (with respect to the level ground) that you can launch a projectile at and have its total distance from you never decrease while it is in flight, assuming no air resistance is 45 degrees.

Projectile motion is the motion of an object that is projected into the air and then moves under the force of gravity. Objects that are propelled from the ground into the air are referred to as projectiles.

The motion of such objects is called projectile motion. When objects are thrown at an angle to the horizontal plane, the curved path they travel on is referred to as a parabola.

This is due to the fact that the projectile is influenced by two forces: the initial force that launches the projectile and the force of gravity that pulls it back down.

In order to find out the maximum angle, the path of the projectile must be observed. The range of a projectile is defined as the horizontal distance it covers from the point of launch to the point of landing.

The range is calculated using the following formula:

R = (V²/g) * sin(2θ)

where

R is the range of the projectile,

V is the initial velocity of the projectile,

g is the acceleration due to gravity, and

θ is the angle at which the projectile was launched.

The maximum range will be achieved when the angle is 45°, which is half of the full angle (90°) of a right angle.

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Defining a confidence interval would be important for testing the validity of data in a dataset where the sample size is relatively small or there is a significant variation within the data. This is crucial when trying to estimate population parameters and determine the level of certainty or reliability in the findings.

A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. When dealing with a dataset, it is important to understand the characteristics and limitations of the data. If the sample size is small, the estimates obtained from that sample may not accurately reflect the true population parameter. A larger sample size generally provides more reliable estimates. Additionally, if there is significant variation within the data, it can lead to a wider range of possible values for the population parameter.

To determine the confidence interval, several factors need to be considered. Firstly, the desired level of confidence must be chosen. Common choices are 95% or 99%. A 95% confidence level means that if the same study were repeated 100 times, we would expect the true population parameter to fall within the calculated confidence interval in 95 of those studies. Secondly, the standard deviation or variance of the sample must be calculated. This measure of variability helps quantify the spread of the data points around the mean.

With these considerations in mind, the confidence interval can be calculated using a statistical formula. The most commonly used formula is based on the t-distribution when the sample size is small, and the z-distribution when the sample size is large. The formula incorporates the sample mean, the sample standard deviation, the level of confidence, and the sample size. The resulting interval provides a range of values within which the true population parameter is likely to fall.

By defining a confidence interval, we can assess the validity of the data by determining the precision of the estimates. A narrow confidence interval indicates a higher level of certainty in the estimated parameter, whereas a wider interval suggests more uncertainty. Therefore, defining a confidence interval is important for testing the validity of data, particularly in datasets with a small sample size or significant variation, as it allows us to evaluate the reliability of the findings and draw conclusions about the population based on the sample data.

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Answer:

The result would be 0 (zero)

Step-by-step explanation:

Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.

What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.

Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.

And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H

Hopefully this is what you were looking for!

Answer:

The question has the answer in it.. Maddy's speed.. which is 3 MPH :/ but... if you need to find the thing that isn't known... Maddy's time.. here is how..

Step-by-step explanation:

Max takes 3 hours at 2 mph.. soo 3x2=6 miles that max traveled

Maddy runs at 3 mph  so .. 6 miles / 3MPH  =2 hours,  Maddy takes 2 hours

Answer:

55 degrees

Step-by-step explanation:

To solve this problem, all you have to do is 60 + 65 and subtract it from 180. We can do this because those 3 angles create a linear pair.

Answer:  55

Step-by-step explanation:

The 3 angles form a line,  <4   60 and 65.   since it is a line the 3 angles add up to 180

<4 +60 + 65 =180    solve for <4 by subtracting 60 and 65 from both sides

<4 = 55

Give the OTHER guy brainliest please.  I liked his answer.

Answer:

use division

Step-by-step explanation:

The requried, 8 potatoes would fill the planter completely.

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.

Here,
To determine the number of potatoes that would fill the planter completely, we need to know the fraction of the planter that is not yet filled with potatoes. We can find this by subtracting 3/4 from 1,

1 - 3/4 = 1/4

This means that 1/4 of the planter is not yet filled with potatoes. To fill the planter completely, we would need to add another set of 2 potatoes, since the first set filled 3/4 of the planter,

6 + 2 = 8

Therefore, 8 potatoes would fill the planter completely.

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