Ms. Kumar has a checking account at the bank. If the account balance ever
falls below zero, the bank charges her a fee of $5.95 per day. Today, the
balance in Ms. Kumar's account is -$2.67. If she does not make any deposits
or withdrawals, what will be the balance in her account after 2 days?

The diagram of x + 3 and 2x

How to draw a diagram of x + 3 and 2x?

Given the situations: x = 1, x = 2, x = 3 and x = 4

For  x + 3

x = 1, x+3 = 4

x = 2, x+3 = 5

x = 3, x+3 = 6

x = 4, x+3 = 7

For  2x

x = 1, 2x = 2

x = 2, 2x = 4

x = 3, 2x = 6

x = 4, 2x = 8

You will use the values of x and y = x+3, and the values of x and y = 2x

Answer:

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Step-by-step explanation:

Answer:

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Step-by-step explanation:

The null hypothesis was the applicants last year​ score, on​ average was 52.5 points.

Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.

At the end of the​ year, they find that the candidates this year had a mean of 55.3 points.

A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Therefore, the equivalent expression with a denominator of (x-6) is: (-8 / (x-6)).

An expression is a mathematical phrase that can contain numbers, variables, and operators. It can represent a value or a calculation, but it does not have an equal sign. Expressions can be simple or complex and can involve arithmetic operations, such as addition, subtraction, multiplication, division, and exponentiation, as well as functions, logarithms, trigonometric functions, and more.

Here,

To write the rational expression (8/6-x) as an equivalent expression with a denominator of (x-6), we need to multiply both the numerator and denominator by a suitable expression that will result in the denominator of (x-6).

To do this, we can use the difference of squares identity:

a ²- b² = (a + b)(a - b)

In this case, we can rewrite the denominator of (6-x) as (-(x-6)), which is in the form of the difference of squares with a = 6 and b = x. So we can rewrite the expression as:

8 / (6 - x) = -8 / (x - 6)

Now the denominator is in the form of (x-6).

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Answer:

  39

Step-by-step explanation:

Kruskal's Algorithm has you add edges in order of weight, from least to greatest, excluding edges that form loops, until all nodes are connected.

__

Here, the edges have weights ...

  5 -- AD, CE

  6 -- DF

  7 -- AB, BE

  8 -- BC, EF

  9 -- BD, EG

  11 -- FG

  15 -- DE

The edges shown in bold are ones that can be added without creating loops. Their total weight is 5×2 +6 +7×2 +9 = 39.

The weight of the minimum spanning tree is 39.

Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

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Answer:

− √ ( 9 + y ) 2 > 1

Explanation:

− √ ( 9 + y ) 2 , where  y < − 10

Simplify the expression,

− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y

When  y < − 10 , − y > 10

Subtract  9  from both sides,

− 9 − y > 1  Hence,

− √ ( 9 + y ) 2 > 1

The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ -√(9 + y)²

Simplify the expression, then we have

-√(9 + y)² = 0

(9 + y) = 0

9 + y = 0

y = - 9

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Answer:

m=40

Step-by-step explanation:

So her end goal is $140 dollars. If she already raised $100, then we have to find the difference. The operation to find difference is subtractions so you do 140-100=40. She needs 40 more dollars.

Answer:

40$

Step-by-step explanation:

100 +x=140

x=140 - 100

x=40 $

.

just find the area of a circle which is

pi times 3.5 squared. 3.5 is the radius because 7 is the diameter

Using Pythagorean theorem, the value of x is 12.4 units

To find the value x, we need to find the radius of the circle from the diameter and then use Pythagorean theorem to find the unknown side or adjacent and then subtract the value from x.

radius = diameter / 2

radius = 44 / 2

radius = 22

Using Pythagorean theorem, the adjacent side will be;

22² = 19.8² + y²

y² = 22² - 19.8²

y = √(22² - 19.8²)

y = 9.6

The value of x will be

x = 22 - 9.6

x = 12.4

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The correct answer is 12.4

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

Answer:

Eleanor has made an error in Step 1

She clearly intended to multiply both sides by 2, but forgot to multiply the \(-9x\) part of the RHS.

Step 1 should be:   \(x+18=8(2x-6)-18x\)

Correct solution

Given:   \(\dfrac12(x+18)=4(2x-6)-9x\)

Step 1:  \(x+18=8(2x-6)-18x\)

Step 2:  \(x+18=16x-48-18x\)

Step 3:  \(x+18=-48-2x\)

Step 4:  \(66=-3x\)

Step 5:  \(x=-22\)

Answer:

the y = mx equation is y = \(\frac{4}{3}\)x

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{150}{x} =tan72 \\x=150 cot~72=150 cot(90-18)=150 ~tan ~18 \approx 48.74 ~meteres\)

For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

y+2=-4(x-2)

for x-intercept=(x,0)

2=-4(x-2)

2=-4x+8

4x=6

x=6/4=3/2

for y-intercept=(0,y)

y+2=-4(*-2)

y=6

The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.

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To solve the given system, first, let's multiply the second equation by 3

Then, we combine the equations

Now, we find x

Answer:

9.52

Step-by-step explanation:

If Andre had $6 + $3.52 is 9.52

Answer:

\(\huge\boxed{\sf 64}\)

Step-by-step explanation:

\(f(x) = 8^x\)

Put x = 2

\(f(2) = 8^2\\\\f(2) = 8 \times 8\\\\f(2) = 64\\\\\rule[225]{225}{2}\)

Answer:

ABC | Stock price

Q1 | $10.50

Q2 | $11.50

Q3 | $9.00

Q4 | $10.50

Step-by-step explanation:

Answer is 37 shares on AP3X

The equations of the other two sides are AD: y = -3x + 3 and DC: y = 1/2x - 1/2.

What is point-slope form?

The point-slope form is a way to write the equation of a straight line in algebra. It is used when you know the coordinates of a point on the line and the slope of the line. The point-slope form of a linear equation is:

y - y₁ = m(x - x₁)

where m is the slope of the line, and (x1, y1) are the coordinates of a point on the line.

Since AB and BC are two sides of a parallelogram, they are parallel to each other. Thus, we can use the slope formula to find the slopes of these sides.

Slope of AB:

m = (y₂ - y₁)/(x₂ - x₁)

= (6 - 3)/(6 - 0)

= 3/6

= 1/2

Slope of BC:

m = (y₂ - y₁)/(x₂ - x₁)

= (3 - 6)/(7 - 6)

= -3/1

= -3

Now that we know the slopes of AB and BC, we can use the point-slope form to find the equations of the other two sides.

Equation of AD:

We know that AD is parallel to BC and passes through point A. So, we can use the point-slope form with the slope of BC and point A.

y - y₁ = m(x - x₁)

y - 3 = -3(x - 0)

y - 3 = -3x

y = -3x + 3

Equation of DC:

We know that DC is parallel to AB and passes through point C. So, we can use the point-slope form with the slope of AB and point C.

y - y₁ = m(x - x₁)

y - 3 = 1/2(x - 7)

y - 3 = 1/2x - 7/2

y = 1/2x - 1/2

Therefore, the equations of the other two sides are:

AD: y = -3x + 3

DC: y = 1/2x - 1/2

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Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

Answer:

The probability that the arrow will land on an odd number is 0.60.

Step-by-step explanation:

We are given that a spinner consists of a pointer on a circle divided into five equally-sized sections by five line segments that run from the circle's center to its edges.

In clockwise order, the sectors are labeled "1," "2," "3," "4," and "5."

As we know that the probability of any event is given by;

        Probability, P(E) = \(\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}\)

Now, the probability that the arrow will land on an odd number is given by;

Total number of sectors = 5

Odd number of sectors = 1, 3, 5 = 3

So, the required probability = \(\frac{3}{5}\) = 0.60

Hence, the probability that the arrow will land on an odd number is 0.60.

Answer:

Step-by-step explanation:

3/5

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

D

Step-by-step explanation:

Got it right edge2021

Answer:

a

Step-by-step explanation:

(-3,-1)

Answer:

88

Step-by-step explanation:

The total cost of y 4 pounds of ground beef which is bought by Cami at the rate of $22 per pound of ground beef is $88.

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Cami buys 4 pounds of ground beef for $22.  The total cost in dollars, y, is proportional to the number of pounds purchased, x pounds ground beef.

In this problem, the total cost y has to be found out.​ As the price of one pound of ground beef is $22 and there is total 4 pounds of ground beef, Cami bought.

Thus, the total cost is,

\(y=22\times44\\y=88\)

Thus, the total cost of y 4 pounds of ground beef which is bought by Cami at the rate of $22 per pound of ground beef is $88.

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Each month, the interest for the current balance is calculated as:

$3,287.90 * 14.5% / 12 = $48.22

How Do Interest Rates Work?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).

The new balance after each payment is:

$3,287.90 + $48.22 - $1,200.00 = $2,147.12

Repeat the calculation until the balance is zero:

Month 1:

Balance: $3,287.90

Interest: $48.22

New Balance: $2,147.12

Month 2:

Balance: $2,147.12

Interest: $31.14

New Balance: $1,178.26

...

Month 26:

Balance: $0.00

So, it takes 26 months to pay off the credit card, and the total amount paid including interest is $31,622.68.

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Answer:

7:15 is the smallest ratio.

Step-by-step explanation:

hope this helps :)

The equation of the parabola y = 2x² - 8x + 13 in vertex form is y = 2(x - 2)² + 5.

An equation is a formula that links two statements and uses the equals sign (=) to indicate that the statements are equivalent. A mathematical statement proving the equality of two algebraic expressions is called an equation. For instance, the equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14. The relationship between the two sentences that appear on opposing sides of a letter is expressed mathematically. The single variable and the symbol are typically the same. Like 2x - 4 Equals 2, for example.

To write the equation of a parabola in vertex form, we use the formula:

y = a(x - h)² + k

Where (h,k) is the vertex of the parabola and "a" is a constant that determines the shape of the parabola. To convert the equation y = 2x² - 8x + 13 to vertex form, we need to complete the square.

First, let's factor out the leading coefficient of 2:

y = 2(x² - 4x) + 13

Next, we need to add and subtract a constant inside the parentheses to complete the square. To determine this constant, we take half of the coefficient of x, square it, and add it inside the parentheses:

y = 2(x² - 4x + 4 - 4) + 13

y = 2((x - 2)² - 4) + 13

Now we can simplify and write the equation in vertex form:

y = 2(x - 2)² - 8 + 13

y = 2(x - 2)² + 5

Therefore, the equation of the parabola y = 2x² - 8x + 13 in vertex form is y = 2(x - 2)² + 5.

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The complete question is:

The equation of the parabola is y = 2x² - 8x + 13. Its vertex form is ______________.

Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.