#3 Mary runs 4 laps in 8 minutes. Nicole runs 12 laps in 18 minutes. Who runs faster?

Answer:

43°

Step-by-step explanation:

Angle B is congruent to the opposite angle.

Answer:

x = -7

Step-by-step explanation:

Step 1: Write equation

3x - 1 = -22

Step 2: Add 1 on both sides

3x = -21

Step 3: Divide both 3

x = -7

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

Answer:

4x^2−2

Step-by-step explanation:

Let's simplify step-by-step.

7x^2−2−3x^2

=7x^2+(−2)+(−3x^2)

Combine Like Terms:

=7x^2(+−2)+(−3x^2)

=(7x^2+(−3x^2))+(−2)

=4x^2+−2

Answer:

=4x2−2

Answer:

a would be 103.14 units approximately.

Step-by-step explanation:

A=137

B=28

b=71

a=?

Using the formula

a/sinA=b/sinB

or, a/sin137=71/sin28

or, sin28a= sin137.71

or, sin28a=48.42

or, a=48.42/sin28

so, a = 103.14

Answer:

3+x=8

subtract 3 from both sides 3-3+x=8-3

so 3-3=0 and8-3 =5

now you have x=5

Answer:

D. y= -1/5x2, y= -1/3x2, y= -7x2

Step-by-step explanation:

They can set up total 30 tables in 5 hours.

Multiply in mathematics refers to the continual addition of sets of same size.

2 × 3 = 6

It can be interpreted this way:

Three times two equals six.

Three times two equals six.

Six is two threes.

Given,

Andersons can set up 6 tables in 1 hour

Tables they can set up in 5 hours = 5 × 6

= 30

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Answer:

24x-2

Step-by-step explanation:

Perimeter is 2(L+w)

(10x-3)+(2x+2)

Combine like terms

12x-1

2(12x-1)

24x-2

Answer:

The perimeter is 24x - 2.

Step-by-step explanation:

The perimeter of a rectangle is found using the following formula: \(2(l+w)\). The length and width added together are 10x - 3 + 2x + 2 or 12x - 1, multiply that by 2 and you'll get that the perimeter is equivalent to 24x - 2.

The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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9514 1404 393

Answer:

  5/7

Step-by-step explanation:

If the probability of an event is p, the probability of the complement of the event is ...

  q = 1 -p

  q = 1 -2/7 = 5/7

The probability of the complement is 5/7.

The indefinite integral ∫(2e^(-1/5x))dx can be expressed as an infinite series. The answer can be summarized as follows: The integral evaluates to a series representation involving the exponential function.

The series consists of terms that are powers of x and coefficients obtained by integrating a power series expansion of e^(-1/5x).

To explain the answer in more detail, let's consider the function f(x) = e^(-1/5x). We can rewrite the function as a power series using the Taylor series expansion for e^x: e^x = 1 + x + (x^2/2!) + (x^3/3!) + ... + (x^n/n!) + ..., where n! represents the factorial of n.

Integrating f(x) term by term, we get ∫f(x)dx = ∫(e^(-1/5x))dx = C + ∫(1 - (1/5x) + (1/(2!)(1/5x)^2 - (1/(3!)(1/5x)^3 + ... + (1/(n!)(1/5x)^n) + ..., where C is the constant of integration.

Now, we can simplify each term of the series by multiplying the constant coefficients with appropriate powers of x: C + x - (1/5)(1/5x)^2 + (1/(2!))(1/5x)^3 - (1/(3!))(1/5x)^4 + ... + (1/(n!))(1/5x)^(n+1) + ...

The resulting series is an infinite sum of terms involving powers of x and coefficients obtained from the power series expansion of e^(-1/5x). This represents the indefinite integral of 2e^(-1/5x) as an infinite series.

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The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.

According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined

The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:

Probability of one daughter getting married by 18 years:

As per the brief report, 6% of women in the United States married before the age of 18.

Therefore, the probability of one daughter getting married before the age of 18 is 0.06

Probability of one daughter getting married by 25 years:

As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.

Probability of one daughter getting married by 30 years:

As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.

The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.

The probability that both daughters will get married before the age of 18 is:

P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036

The probability that both daughters will get married by the age of 25 is:

P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25

The probability that both daughters will get married by the age of 30 is:

P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476

The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.

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Answer:

If they are both to scale y should be either 8 or 5

Step-by-step explanation:

10 times 2.5 is 25

25 divided by 2.5 is 10

20 divided by 2.5 is 8

25 - 15 = 10

20 - 15 = 5

Answer:

40%

8%

15%

37%

Step-by-step explanation:

The solutions are in the image

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

(1,2)

Step-by-step explanation:

thats the point of intersection so they have the same outcome

I'm a little confused by the question but I hope this helps :)

Answer:

No.

Step-by-step explanation:

The sides are not scaled evenly. For a scaled polygon, you would want all the sides to be multiplied by the same number.

Answer: No because they are different numbers that dont reach the amount of the last one, example: 8/ 5 doesn't match 6 no 4 yes the only one and 6/ 2 yes/ 3yes/ 4no so if they did all match up then yes but it would be no

Step-by-step explanation: They are different numbers that don't reach the amount of the last one, example: 8/ 5 doesn't match 6 no 4 yes the only one and 6/ 2 yes/ 3 yes/ 4 no so if they did all match up then yes but it would be no.

Answer:

numbef 1 false because one dot equals two students

number 2 flase because all the dots add up to 21 and for eight students there are 4

number 3 true because the amount is eight students and on 7 inches the are four students

you have on your own or just share your thoughts about it in the comments then i can come up with something.

Answer: the answer is A

Step-by-step explanation:

Answer:

The equation of the line in slope-intercept form is y = -x + 1

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)

∴ f(3) = -2 is the point (3, -2)

∴ f(0) = 1 is the point (0, 1)

∴ x1 = 3 and y1 = -2

∴ x2 = 0 and y2 = 1

→ Substitute them in the rule of the slope to find it

∵ m = \(\frac{1--2}{0-3}\) = \(\frac{1+2}{-3}\) = \(\frac{3}{-3}\)

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the value of y at x = 0

∵ at x = 0, y = 1

∴ b = 1

∴ y = -x + 1

∴ The equation of the line in slope-intercept form is y = -x + 1

Two equations that also represent the function f(x) = 3(x+1)^2 - 27 are f(x) = 3x^2 + 6x - 24 and f(x) = 3(x-1)^2 - 15.

The equation f(x) = 3x^2 + 6x - 24 is obtained by expanding the squared term (x+1)^2 and simplifying the expression.

It represents the same quadratic function as f(x) = 3(x+1)^2 - 27.

Similarly, the equation f(x) = 3(x-1)^2 - 15 is obtained by factoring and simplifying the expression.

It also represents the same quadratic function as f(x) = 3(x+1)^2 - 27.

These two equations provide alternative forms of representing the quadratic function f(x) = 3(x+1)^2 - 27, allowing for different perspectives and approaches to analyzing the function.

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The absolute maximum and minimum values of the function f(x, y) = x^2 + y^2 - 2y on the set R = {(x, y): x^2 + y^2 ≤ 9} can be found by analyzing the critical points and the boundary of the region R.

To find the critical points, we take the partial derivatives of f(x, y) with respect to x and y, and set them equal to zero. Solving these equations, we find that the critical point occurs at (0, 1).

Next, we evaluate the function f(x, y) at the boundary of the region R, which is the circle with radius 3 centered at the origin. This means that we need to find the maximum and minimum values of f(x, y) when x^2 + y^2 = 9. By substituting y = 9 - x^2 into the function, we obtain f(x) = x^2 + (9 - x^2) - 2(9 - x^2) = 18 - 3x^2.

Now, we can find the maximum and minimum values of f(x) by considering the critical points, which occur at x = -√2 and x = √2. Evaluating f(x) at these points, we get f(-√2) = 18 - 3(-√2)^2 = 18 - 6 = 12 and f(√2) = 18 - 3(√2)^2 = 18 - 6 = 12.

Therefore, the absolute maximum value of f(x, y) is 12, which occurs at (0, 1), and the absolute minimum value is also 12, which occurs at the points (-√2, 2) and (√2, 2).

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Answer:

Check below or above

Step-by-step explanation:y

Answer:

the answer is an acute triangle

Step-by-step explanation:

it is an acute triangle because all angles are less than 90° but all the angles added together are equal to 180°

Answer:

It is a scalene triangle.

9 9 9 9 99 9 9 99 9 9 9 lol 9 999999

Answer:

$23.50

Step-by-step explanation:

$8.50 + $3(5) = $23.50

Answer:

as below

Step-by-step explanation:

1st  the difference is 4  b/c half of 4 = 2

and

2*smaller +greater = 13

so check out small number that are 4 apart.. like 2 and 6

2(2)+6 =10

2(3) +7 = 13  aahh hah..  that's it

3 and 7 are the numbers being hunted :P

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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