10) Write the explicit formula for the arithmetic sequence below and use it to find the 52nd term:
37,29,21,13

Answer:

\(M = ( \frac{7}{2} , \frac{-7}{2} )\) or (3.5, - 3.5)

Step-by-step explanation:

Given the endpoints (-1,-6) and (8,-1),

Let x1 = -1

x2 = 8

y1 = -6

y2 = -1

We can use the following Midpoint formula:

\(M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)

\(M = ( \frac{ -1 + 8 }{2} , \frac{-6 + (-1)}{2} )\)

\(M = ( \frac{7}{2} , \frac{-7}{2} )\) or (3.5, - 3.5)

The equation for the given line in slope-intercept form is y = 3/5x - 1

The equation of a line in slope-intercept form is given as y =mx +b

where:

m is the slope

b is the y-intercept

From the graph shown, the y-intercept of the line is (0, -1)

Determine the slope passing through (0, -1) and (-5, 2)

Slope = 2-(-1)/5-0

Slope = 3/5

Determine the required equation

y = 3/5x + (-1)

y = 3/5x - 1

Hence the equation for the given line in slope-intercept form is y = 3/5x - 1

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Step-by-step explanation:

you can ask any questions for clarification

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

Provided Grampy Wolf has 7 coins in his pocket worth 65 cents, Then the number of quarters, dimes and nickels he has are as follows;

According to the question;

Grampy Wolf has 7 coins in his pocket worth 65 cents.

We must know that;

In essence;

Therefore, he has 2.6 quarters

Therefore, he has 6.5 dimes

Therefore, he has 13 nickels.

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we have that from the Question"Grampy Wolf has 7 coins in his pocket worth 65 cents. How many quarters, dimes and nickels does he have?" it can be said that

Grampy Wolf has

 From the Question we are told

Grampy Wolf has 7 coins in his pocket worth 65 cents. How many quarters, dimes and nickels does he have?

Generally the equation for  quarters, dimes and nickels is mathematically given as

Therefore

For 7 coins to give 65 cents we have

the equation for  money is mathematically given as

65=25+2(10)+4(5)

Hence

Grampy Wolf has

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Monthly interest payments is 26

Given that Jill maintains an average balance of $1300 on her credit card which carries an annual interest rate of 24%.We have to find the monthly interest payments in the situation described.

Annual interest rate = 24%

Average balance = $1300

Monthly interest rate = 1/12 of the annual interest rate

                                   = 1/12 × 24%

                                    = 2%

Monthly interest payments= Average balance × Monthly interest rate

                                            = $1300 × 2%

                                            = $26

Hence, the correct option is $26

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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Answer:

7.3%

Step-by-step explanation:

Let M = Maths

E = English

P(M ∪ E) = P(M) + P(E) - P( M ∩ E)

From the question:

P(M ∪ E) = 35.7%

P(M) = 18%

P(E) = 24%

P( M ∩ E) = unknown

35.7% = 18% + 24% - P( M ∩ E)

35.7% = 42% - P( M ∩ E)

P( M ∩ E) = 42% - 35.7%

P( M ∩ E) = 7.3%

Therefore, the probability that a student who receives an A in Math course will also receive an A in English course is 7.3%.

Answer:

B. graph B

Step-by-step explanation:

The graphs of A,B,C and D are attached below.

Let x represent the credit amount  and y represent the minimum amount due.

For a bill of less than $100, the entire amount is due. That is for 0 ≤ x < $100, y = x

For a bill of at least $100 but less than $500, the minimum due is $100. That is for $100 ≤ x < $500, y = 100

For a bill of at least $500 but less than $1,000, the minimum due is $300. That is for $500 ≤ x < $1000, y = $300

For a bill of $1,000 or more, the minimum due is $500. But the credit limit is $2000. That is For $1000 ≤ x < $2000, y = $500

The graph that shows the minimum amount due for a credit amount of x  is graph B

Answer:

34

Step-by-step explanation:

Step 1: form an equation

n + 4 = 38

Step 2: isolate the variable (n)

n = 38 - 4

Step 3: solve the equation

n = 34

minus 6

Step-by-step explanation:

From 49 to 43 you minus 6

from 43 to 37 you minus 6

Please give me brainliest!

the answer is around 1.73, so its a little over the 1.5 mark. also, im not sure if this is what you meant, but the phrase is radical 3, or the square root of 3 :)

its the blue line!!!!

Answer: H=12 and B=8

Looking at the problem, you are given the area, a , and told the h is 4 meters longer than b; in other words, h=b+4.

Since a=1/2bh, you can replace a with 48. Also, since h is b+4, you can replace that as well. You'd end up with this equation:

48=1/2b(b+4)

1. Seeing that 48 is 1/2 of b, you know that you have twice the value of 48, or 96. So, you can put that 96=b(b+4).

2. Now, thinking through factors of 96-  1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which h is b+4 is 12 x 8.

Hope this helps,

Lacia :))

Answer:

second option

Step-by-step explanation:

(2 \(\frac{4}{5}\) )( - 5 \(\frac{2}{3}\) ) ← convert mixed numbers to improper fractions

= \(\frac{14}{5}\) × - \(\frac{17}{3}\)

= - \(\frac{14(17)}{5(3)}\)

= - \(\frac{238}{15}\)

= - 15 \(\frac{13}{15}\)

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!

Answer: 35/50 or 70%

Step-by-step explanation: Add all the coins together: 12+15+23=50

so the probability = 12/50 + 23 nickels = 35/50 ( 0.7)

Answer:

22: 6,   23:  1/6    24: 10     25: 50

Step-by-step explanation:

Answer: To differentiate this function, we need to use the product rule and the chain rule.

First, we will simplify the function:

f(y) = (1/y^2 - 3/y^4) * y(y + 9y^3)

f(y) = (y + 9y^3) / y^3 - (3y + 27y^3) / y^5

f(y) = y^-3 * (y^4 + 9y^6 - 3y^4 - 27y^6)

f(y) = 6y^4 / y^3

f(y) = 6y

Now we can differentiate:

f'(y) = 6

Therefore, the derivative of f(y) is 6.

Using product rule and power rule of differentiation, the derivative of the function f(y) = 1/y² - 3/y⁴ * (y + 9y³) is f'(y) = 12/y⁷ - 6/y⁶ - 54/y⁵.

To differentiate the given function,

We need to use product rule and the power rule of differentiation

use product rule to differentiate two terms in the function;

Let's consider the first term: 1/y²

The derivative of 1/y² with respect to y is:

d(1/y²)/dy = -2/y³

Now, let's consider the second term: -3/y⁴ * (y + 9y³)

The derivative of -3/y⁴ with respect to y is:

d(-3/y⁴)/dy = 12/y⁵

The derivative of (y + 9y³) with respect to y is:

d(y + 9y³)/dy = 1 + 27y²

Let's use product rule to differentiate the expression

Using the product rule, the derivative of the entire expression f(y) = 1/y₂- 3/y⁴ * (y + 9y³) is:

f'(y) = (1/y²) * (d(-3/y⁴ * (y + 9y³))/dy) + (-3/y⁴ * (y + 9y³)) * (d(1/y²)/dy)

Let's plug the value into the previous expression

f'(y) = (1/y²) * (12/y⁵) + (-3/y⁴* (y + 9y³)) * (-2/y³)

Simplifying further:

f'(y) = 12/y⁷ - 6(y + 9y³)/y⁷

      = 12/y⁷ - 6(y/y⁷ + 9y³/y⁷)

      = 12/y⁷ - 6/y⁶ - 54y²/y⁷

      = 12/y⁷ - 6/y⁶ - 54/y⁵

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Answer:

X = 7 and -35.6666

Step-by-step explanation:

Answer:  y=7,x=3

Steps:

y = 2x + 1

3x + y = 16

Substitute y = 2x + 1

3x + 2x + 1 = 16

Simplify

5x+1=16

Isolate x for 5x + 1 = 16: x = 3

For y = 2x + 1

Substitute x = 3

y = 2 · 3 + 1

Simplify

y = 7

The solutions to the system of equations are:

y = 7, x = 3

Hope This Helps!

Answer:

40

Step-by-step explanation:

formula for area of a triangle is b*h/2

plug in the numbers 10*8/2 =40

Answer:

Step-by-step explanation:

You meant x^2, right?

We get the graph of g(x) through two transformations of the graph of f(x):  

1.  Reflect the graph of f(x) about the x-axis.

2. Translate the graph obtained in (1) 2 units down.

Answer:

the 2nd one

Step-by-step explanation:

Answer:

1) 23, 3, 13

2) 7, 13, 18

3) 9, 6, 77

4) 39, 8, 46

5) 13, 1, 32

6) 45, 9, 54

7) 14, 45, 30

8) 25, 10, 39

Step-by-step explanation:

Left to Right

Answer:

  y = 1/2x -2

Step-by-step explanation:

You want the equation of a line parallel to y = 1/2x +6 that contains the point (0, -2), written in slope-intercept form.

The slope of the line you want will be the same as the slope of the line you have. That is because parallel lines have the same slope.

The equation you are given is written in slope-intercept form:

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Comparing this form to the given equation, you see that ...

  m = 1/2 . . . . . the slope of the line you want

The "intercept" in the "slope-intercept" form is the value of y when x=0. The point you are given, (0, -2), tells you that y = -2 when x = 0. So, the "intercept" in your slope-intercept equation is -2.

The equation you want is the equation of a line with slope 1/2 and a y-intercept of -2.

  y = 1/2x -2

The equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2.To find an equation of a line that is parallel to line EF and passes through point (0, -2), we need to use the fact that parallel lines have the same slope. The slope of line EF is 1/2, so the slope of the parallel line will also be 1/2.

We can start by using the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in m = 1/2 and (x1, y1) = (0, -2), we get:

y - (-2) = (1/2)(x - 0)

Simplifying this equation gives:

y + 2 = (1/2)x

To get this equation in slope-intercept form (y = mx + b), we can isolate y:

y = (1/2)x - 2

So the equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2. Note that this line intersects the y-axis at y = -2, which is the y-intercept.

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It is 3:15 AM in 12 hour time.

What is time?
Time is a fundamental concept that is difficult to define. It is an abstract measure of the duration of events and the intervals between them. Time is not a physical entity, yet it is widely accepted that time passes. It is a universal phenomenon that humans use to measure the length of events and to organize their lives. Time is divided into three categories: past, present, and future. The past is what has already happened and the future is yet to come. The present is the moment that we are currently experiencing.

What is 12 hour time and 24 hour time ?

The 12-hour clock runs from 1 am to 12 pm and then from 1 pm to 12 am. Midnight (0:00) to 23:59 is the beginning of the 24-hour clock.

In the given question, It is a 12 hour time format, So the 3:15 is the 3:15 AM.

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\(\bold{Heya...}\)

3x + y = 11.

Let's solve for x ~

3x + y = 11

Step 1: Add -y to both sides.

\(\mathtt{3x \: + \: y \: + \: -y \: = \: 11 \: + \: -y}\)

\(\mathtt{3x \: = \: -y \: + \: 11}\)

Step 2: Divide both sides by 3.

\(\mathtt{\frac{3x}{3} \: = \: \frac{-y \: + \: 11}{3}}\)

↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓

\(\bold{x \: = \: \frac{-1}{3}y \: + \: \frac{11}{3}}\)

Let's solve for x ~

5x - y = 21.

Step 1: Add y to both sides.

\(\mathtt{5x \: - \: y \: + \: y \: = \: 21 \: + \: y}\)

\(\mathtt{5x \: = \: y \: + \: 21}\)

Step 2: Divide both sides of 5.

\(\mathtt{\frac{5x}{5} \: = \: \frac{y \: + \: 21}{5}}\)

↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓

\(\bold{x \: = \: \frac{1}{5}y \: + \: \frac{21}{5}}\)

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