Haley and Sabrina are both training for a race.

Haley runs 4.2 miles each day.
Sabrina has been running as many miles each day as Haley.
Next week, Sabrina is going to increase the miles she runs each day by 25%.
Haley and Sabrina both train by running 6 days each week.
What is the total number of miles Sabrina will run next week to train for the race?

A.
5
B.
18.3
C.
21
D.
47.25

Answer:

nails weight 50 lbs by knowing the weight u can find the mss

Answer:

Since  

x = 1

 is a vertical line, the slope is undefined.

Step-by-step explanation:

Undefined

Answer:

11. ASA

12. SSS

13. SAS

14. SAS

15. Not congruent

16. SAS

Step-by-step explanation:

11.

12, Oppositely congruent

13. indirectly congruent

14. Indirectly congruent

15.

16. Directly congruent

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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The estimate of the standard deviation (Sp) for the total number of errors in assignments from various semesters is approximately 0.044996 and the upper control limit (UC) is approximately 0.374988, and the lower control limit (LCL) is approximately 0.105012 for the p chart.

To compute the estimate of the standard deviation (Sp), we need to determine the proportion of assignments with errors in each semester and calculate the overall proportion of assignments with errors.

Given:

Number of semesters (n) = 5

Total number of assignments per semester (nupper) = 150

Proportion of assignments with errors (p) = 0.24

First, we calculate the proportion of assignments with errors for each semester:

Semester 1: p1 = (150 * 0.24) / 150

= 0.24

Semester 2: p2 = (150 * 0.24) / 150

= 0.24

Semester 3: p3 = (150 * 0.24) / 150

= 0.24

Semester 4: p4 = (150 * 0.24) / 150

= 0.24

Semester 5: p5 = (150 * 0.24) / 150

= 0.24

Next, we calculate the overall proportion of assignments with errors:

p = (p1 + p2 + p3 + p4 + p5) / n

= (0.24 + 0.24 + 0.24 + 0.24 + 0.24) / 5

= 1.2 / 5

= 0.24

Now we can compute the estimate of the standard deviation (Sp):

S = √((n - 1) * (1 - p) / n)

= √((5 - 1) * (1 - 0.24) / 150)

= √(4 * 0.76 / 150)

= √(0.304 / 150)

≈ √0.0020267

≈ 0.044996

Finally, we can compute the upper control limit (UC) and lower control limit (LCL) for the p chart using the formula:

UC = p + (3 * Sp)

LCL = p - (3 * Sp)

UC = 0.24 + (3 * 0.044996)

= 0.24 + 0.134988

≈ 0.374988

LCL = 0.24 - (3 * 0.044996)

= 0.24 - 0.134988

≈ 0.105012

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The Nash equilibrium output for a single Cournot firm with the following characteristics: P=400−2Q TC=40q_i is 45.

The reaction function for a Cournot firm with the following characteristics: P=400−2Q RC=40q_i is qi=90−1/4q_j.

The Nash equilibrium output for a Cournot firm is the output level that maximizes the firm's profit given the output level of the other firm. In this case, the firm's profit is maximized when it produces 45 units of output.

The reaction function for a Cournot firm is the output level that the firm produces as a function of the output level of the other firm. In this case, the firm produces 90 - 1/4 * q_j units of output, where q_j is the output level of the other firm.

Here is a more detailed explanation of the calculation of the Nash equilibrium output:

The firm's profit is calculated as follows:

Profit = (Price * Output) - (Total Cost)

In this case, the price is 400 - 2Q, the output is q_i, and the total cost is 40q_i.

To maximize the firm's profit, we can differentiate the profit function with respect to q_i and set the derivative equal to zero.

dProfit/dq_i = (400 - 2Q) - 80 = 0

Solving for q_i, we get q_i = 45.

Here is a more detailed explanation of the calculation of the reaction function:

The reaction function is calculated by setting the firm's profit equal to zero and solving for q_i.

Profit = (Price * Output) - (Total Cost) = 0

(400 - 2Q) - 40q_i = 0

Solving for q_i, we get q_i = 90 - 1/4 * q_j.

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The solutions of the quadratic equation x^2 + 3x - 10 = 0 are x = 4 and x = -1.

The solution of the quadratic equation x^2 + 3x - 10 = 0 can be found by using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Where (a, b, and c) are 1, 3, and -10

So, the solutions of the equation x^2 + 3x - 10 = 0 are:

x = (-3 ± √(3^2 - 4(1)(-10)) ) / 2(1)

x = (-3 ± √(9 + 40)) / 2

x = (-3 ± √49) / 2

x = (-3 ± 7) / 2

x = (4, -1)

Complete question:

Which of the following is the solution of the quadratic equation x^2 - 3x − 10 = 0?

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The generating function for the number of self-conjugate partitions of n can be derived using the theory of partitions and generating functions. Let's denote the generating function by G(x), where each term G_n represents the number of self-conjugate partitions of n.

To begin, let's consider the generating function for ordinary partitions. It is well known that the generating function for ordinary partitions can be expressed as:

P(x) = Σ p_n x^n,

where p_n denotes the number of ordinary partitions of n. The generating function P(x) can be represented as an infinite product:

P(x) = (1 - x)(1 - x^2)(1 - x^3)... = Π (1 - x^k)^(-1),

where the product is taken over all positive integers k.

Now, let's introduce the concept of self-conjugate partitions. A self-conjugate partition is a partition that remains unchanged when its parts are reversed. In other words, if we write the partition as λ = (λ_1, λ_2, ..., λ_k), then its conjugate partition λ* is defined as λ* = (λ_k, λ_{k-1}, ..., λ_1). It can be observed that the conjugate of a self-conjugate partition is itself.

To count the number of self-conjugate partitions, we can modify the generating function for ordinary partitions by taking into account the self-conjugate property. We can achieve this by replacing each term (1 - x^k)^(-1) in the generating function P(x) with (1 - x^k)^2. This is because in a self-conjugate partition, each part occurs twice (i.e., once in the partition and once in its conjugate).

Hence, the generating function for self-conjugate partitions, G(x), can be expressed as:

G(x) = Π (1 - x^k)^2.

Expanding this product gives:

G(x) = (1 - x)(1 - x^2)^2(1 - x^3)^2...

Therefore, the generating function for the number of self-conjugate partitions of n is:

G(x) = Σ G_n x^n = Στ (1 - x)(1 - x)(1 - x^2)^2(1 - x^3)^2...,

where τ represents the number of self-conjugate partitions of n.

In conclusion, the generating function for the number of self-conjugate partitions of n is given by Στ (1 - x)(1 - x)(1 - x^2)^2(1 - x^3)^2..., where the sum is taken over all positive integers k.

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Answer:

I think its two eqautions

Answer:

b

\(\int\limits^a_b {x} \, dx\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute and evaluate:

Answer:

\(b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34\)

Answer:

When two lines intersect, the angles across from each other are known as vertical angles.

the lottery is fair and the winning number is equally likely to occur in any category.

The null and alternative hypotheses for the given scenario are as follows: Null Hypothesis: The probabilities of each category are the same. Alternative Hypothesis: The probabilities of each category are not the same. The sample size is 146. The expected count of each category is 146/5 = 29.2. The degrees of freedom in this case are 5 - 1 = 4.The expected count of each category is less than 5. Therefore, the chi-squared test statistic cannot be used here. Instead, we can use G-test or goodness-of-fit test.To calculate the P-value for the goodness-of-fit test, we can use the TI-84 Plus calculator as follows: Enter the observed counts in L1 and expected counts in L2. Compute L3 by using the formula L3 = (L1 - L2)^2/L2. Then, sum up L3 to obtain the test statistic G. The test statistic G is approximately chi-squared distributed with 4 degrees of freedom.

To find the P-value, we can use the chi-squared distribution function. The P-value is the area under the right tail of the chi-squared distribution curve from G to infinity. Here are the calculations:

The test statistic G is the sum of L3:\($$G = \sum_{i=1}^{5} L_{3i} = 4.53$$\\\)

The P-value can be calculated using the chi-squared distribution function as follows: chi squared distribution function. Find the area to the right of 4.53 for 4 degrees of freedom using the calculator's "invChi" function as follows: P-value = 1 - chi squared distribution function P-value = 1 - invChi (4.53, 4)P-value = 0.3403 (rounded to four decimal places)The P-value is 0.3403. Since the P-value is greater than the significance level of 0.025, we fail to reject the null hypothesis. Therefore, we do not have enough evidence to suggest that the probabilities of each category are different. We conclude that the lottery is fair and the winning number is equally likely to occur in any category.

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Answer:

The only difference between the two equations is that, a linear equation gives a line graph whereas a linear inequality shows the area of the coordinate plane that satisfies the inequality. A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions.

Step-by-step explanation:

Your profile picture lol

Answer:

Trust me his/her answer are correct.....

Answer:  the answer is B

Step-by-step explanation:

edge 2021

Answer:

b

Step-by-step explanation:

Answer:

Real and unequal

Answer:

The quadratic has two equal roots like d if it is perfect square and we may write: (x − d) 2 = x 2 − 2 d x + d 2 Then: Δ = 4 d 2 − 4 d 2 = 0 That is the discriminant is zero when the quadratic is perfect square.

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{5}{6} + \frac{5}{9} = \frac{45+35}{54} \\= \frac{80}{54} =\frac{40}{27}\)

Answer:

15%

Step-by-step explanation:

add them all up and then subtract from 100

The person is required to select a three-digit number, and if they guess the right number, they will be paid $700 for each dollar they bet. Each day, there is a new winning number.

The person bets $1 each day for one year.To get the possible win or loss from the game, the following formula can be used:Expected win or loss = (Probability of winning × Amount won) − (Probability of losing × Amount lost)From the question, we know that the person is betting $1 every day for a year. Therefore, the total amount of money spent by the person in a year is: Amount spent in a year = $1 × 365 = $365Let's calculate the probability of winning: There are 1000 possible three-digit numbers that can be selected. Only one of them is the winning number.Therefore,

The probability of winning the game is:P(win) = 1/1000Let's calculate the probability of losing the game:There are 999 three-digit numbers left after selecting the winning number.  This means that the person can expect to lose about $0.299 every day. Therefore, the person can expect to lose $109.14 in a year (365 days). Answer: $109.14

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Answer:

263,500

Step-by-step explanation:

Population in 2012 = 252,960

Population in 2002 = ? = x

% decrease in population from 2002 to 2012 = 4%

% decrease = (2002 population - 2012 population)/2002 population × 100

Plug in the value into the equation:

\( 4 = \frac{x - 252,960}{x} * 100 \)

\( 4 = \frac{100(x - 252,960)}{x} \)

Multiply both sides by x

\( 4*x = \frac{100(x - 252,960)}{x}*x \)

\( 4x = 100x - 25,296,000 \)

Subtract 100x from both sides

\( 4x - 100x = 100x - 25,296,000 - 100x \)

\( -96x = -25,296,000 \)

Divide both sides by -96

\( \frac{-96x}{-96} = \frac{-25,296,000}{-96} \)

\( x = 263,500 \)

Population of the town in 2002 was 263,500.

Answer:

18 Games

Step-by-step explanation:

For this problem we will have to use the same percentage Therom again, except this time we are solving for a diffrent variable.

Total Games * Percentage won in fraction form = Games won

Fill the values.

30 * 3/5 = X

Simplify

18=X

Answer:

37

Step-by-step explanation:

147= 15x +5+ 22x +4. 120 = 37

Answer:

If angle 5=147 then angle 2 would be 33 since it needs to equal 180

then angle one would also equal angle 2, or =33

Step-by-step explanation:

Options b, d, and e are the true statements about the substitution method.

b. It is useful to solve the integral ∫2x sin x^2 dx.

d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.

e. It is based on the chain rule for derivatives.

The true statements about the substitution method are:

b. It is useful to solve the integral ∫2x sin x^2 dx.

The substitution method is commonly used to simplify integrals and make them easier to evaluate. It can be applied to various types of integrals, including the given example.

d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.

The substitution method involves making a substitution in the integral by introducing a new variable. This formula represents the fundamental principle of substitution, where the derivative of the substituted function appears in the integral.

e. It is based on the chain rule for derivatives.

The substitution method is based on the chain rule of derivatives. By making an appropriate substitution, the integral can be transformed into a new form that corresponds to a derivative of a simpler function.

Therefore, options b, d, and e are the true statements about the substitution method.

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Answer:1250

Step-by-step explanation:

Answer:

  (b)  $6,769

Step-by-step explanation:

The value in the account can be found by using the compound interest formula:

  A = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

__

Using the given values in the formula, we have ...

  P = 5600, r = 0.019, n = 4, t = 10

  A = 5600(1 +0.019/4)^(4·10) = 5600×1.00475^40 ≈ 6768.752

The amount in the account at the end of 10 years was about $6,769.

_____

Additional comment

Any number of spreadsheets, calculators, or apps can find the future value (FV) for you. The attachment shows the use of a TI-84 calculator work-alike.

Answer:

Students deliver catalogues and leaflets to houses.

One day, they have to deliver 480 catalogues and 1520 leaflets.

Each student can deliver either 15 catalogues or 80 leaflets in 1 hour. Each student can only work for 8 hours. All students hired are paid £50.40 per day, even if they don't work a full day.

If the minimum number of students are hired, how much will the wage bill be?

Answer:

y = 3x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 7 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 6, - 9 ) into the partial equation

- 9 = - 18 + c ⇒ c = - 9 + 18 = 9

y = 3x + 9 ← equation of parallel line

Answer:

a

Step-by-step explanation:

I go it right on my test

;)

The probability that the cycle time exceeds 75 minutes, given that it already exceeds 45 minutes, is 25%.

Given the information provided, we know the following:

1. The cycle time for trucks hauling concrete is uniformly distributed over the interval 40 to 85 minutes.
2. We need to find the probability that the cycle time exceeds 75 minutes, given that it already exceeds 45 minutes.

Step 1: Determine the length of the original interval.
The original interval is from 40 to 85 minutes, so the length is 85 - 40 = 45 minutes.

Step 2: Determine the length of the conditional interval.
Since we know that the cycle time already exceeds 45 minutes, our new interval starts at 45 minutes and ends at 85 minutes. The length of this interval is 85 - 45 = 40 minutes.

Step 3: Determine the length of the interval for cycle times exceeding 75 minutes.
The interval for cycle times exceeding 75 minutes starts at 75 and ends at 85, so the length of this interval is 85 - 75 = 10 minutes.

Step 4: Calculate the probability.
Since the cycle time is uniformly distributed, the probability is equal to the ratio of the lengths of the intervals:
Probability = (Length of interval for cycle times exceeding 75 minutes) / (Length of conditional interval)
Probability = 10 minutes / 40 minutes = 0.25 or 25%

So, the probability that the cycle time exceeds 75 minutes, given that it already exceeds 45 minutes, is 25%.

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