What are the coordinates of the point that is 1/5
of the way from A(-7,-4) to
B(3,6)?
A. (-5,0)
B. (-5,-2)
C. (0,3)
O D. (1,4)

Answer:

If Susie makes $10.25 an hour, and makes time and a half for overtime, she would make $410 from regular time. If she works 5 hours of overtime, she would make $76.90.

$410+$76.90=$486.90

In total, she would make $486.90.

Answer: 106.76yards

Step-by-step explanation:

Circumference of a circle is given as:

= 2πr

where,

π = 3.14

r = 17 yards

Circumference = 2πr

= 2 × 3.14 × 17.

= 106.76yards

Therefore, the circumference of the circle will be 106.76yards

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

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Answer:

-8 is one point and the arrow goes to 10

Step-by-step explanation:

The solution of the inequality is x≥ -8.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

1/4 x ≥ - 2

Now, the solving the inequality for x we get

x ≥ -2 (4)

x≥ -8

So, the value of x should be the region where values of x should be equal to -8 and greater than -8.

That means x ≠ -7, -6, -5, ....0,1, 2, 3....

The inequality graph is attached below.

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The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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Answer:

(x + 2)² + (y - 2)² = 3²

Step-by-step explanation:

Equation of a circle is (x - a)² + (y - b)² = r²,

where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.

So, we have (x - -2)² + (y - 2)² = 3²

subtract a minus means we add.

(x + 2)² + (y - 2)² = 3²

Answer:

y=5/2x+7

Step-by-step explanation:

y=mx+b

12=m(2)+7

5=2m

m=5/2

The savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.

What is the interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

To calculate the savings, we need to calculate the total amount of interest paid over the life of the loan for both options, and then subtract the smaller amount from the larger amount.

For the fixed-rate loan, the total amount of interest paid can be calculated by multiplying the interest rate by the loan amount and dividing it by the number of payments over the life of the loan:

$1,750,000 * 3% / (12 * 20) = $63,750

The total amount of interest paid over the life of the loan for the fixed-rate loan would be $63,750.

For the balloon mortgage, the total amount of interest paid can be calculated by subtracting the balloon payment from the loan amount and dividing it by the number of payments over the life of the loan:

($1,750,000 - $1,423,723) * 2.5% / (12 * 6) = $63,011.23

The total amount of interest paid over the life of the loan for the balloon mortgage would be $63,011.23.

Therefore, the savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.

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B is right i took the same test

Answer:

AC

Step-by-step explanation:

Answer:

-3, 2 & 3, -2

Step-by-step explanation:

If you plot the equation, the line goes through a and c

The x-coordinates where the line y = 2x + 3 intersects the circle is equal to -2 and -4.

Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

From the information provided, we have the following system of equations:

(x - 3)² + (y + 6)² = 50      ......equation 1.

y = 2x + 3              .............equation 2.

In order to determine the x-coordinates at the point of intersection, we would substitute the equation 2 into equation 1:

(x - 3)² + (2x + 3 + 6)² = 50

(x - 3)² + (2x + 9)² = 50

x² - 6x + 9 + 4x² + 36x + 81 - 50 = 0

5x² + 30x + 40 = 0

x² + 6x + 8 = 0

x² + 6x + 9 = 1

(x + 3)² = 1

Taking the square of both sides of the equation, we have;

x + 3 = ±1

x = ±1 - 3

x = -2 and -4

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Answer:

(67/100)×(3/10)= (67x3)/(100×10)=201/1000=201/1000=0.201

The correct selling price of an item will be $12.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a  store is instructed by corporate headquarters to put a markup of ​25% on all items. An item costing ​$24 is displayed by the store manager at a selling price of ​$6.

The selling price will be calculated as:-

Selling price = 25% of 24 + $6

Selling price = 6 + 6

Selling price = $12

Hence, the selling price of the item is $12.

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Answer:

62.4km/h

Step-by-step explanation:

561.6 : 9 = 62.4

The perimeter of triangle will be Option c) 14.15 units .

Using distance formula between 2 points

Distance - Formula : The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.

d = \(\sqrt{(X1 - X2)^2 + (Y1 - Y2)^2}\)

Since , we have to find the perimeter of triangle , we will find the distance  from one vertex of triangle to the other for all the 3 sides and add them up .

Substituting values in the above formula ,

AB = \(\sqrt{5}\) units

BC = \(\sqrt{34}\) units

CA = \(\sqrt{37}\) units

Distance = AB + BC + CA = 14.15 units

Hence , the perimeter of triangle will be Option c) 14.15 units .

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The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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Answer:

meters

Step-by-step explanation:

There are 3.28 feet in a meter

The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).

Now, If we expand the RHS we have,

5×(7 + 4).

= (5 × 7) + (5 × 4).

Now, Writing the obtained RHS with LHS we have,

(5 × 7) + (n × 4) =  (5 × 7) + (5 × 4).

So, The missing number is 5.

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Answer:1/3 feet per hour

Step-by-step explanation:

Answer:

3/15 cannot be simplified as an improper fraction because ethe denominator is greater than the numerator. However, we can simplify 3/15 as a fraction

=> 3/15 = 1/5

Step-by-step explanation:

Hoped this helped.

Answer:3/15 as an improper fraction is 1/5

Step-by-step explanation:1 over 5

Answer:

Step-by-step explanation:

So we know he arrived at 8:11 am. He should've arrived at 8:05 am if he rode the bus. So, we know that it took 27 minutes for him to get to school by walking. If he arrived at 8:11, then he started walking at 7:44 am. Since the school bus arrived 2 minutes before he started walking, we can say that the school bus arrived at 7:42 am.

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students voted= 195

Solution :

a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

Jessica = 65 student

Sierra =  2 (Sixty-five students voted for Jessica.) = 2(65) = 130

Total number of students = NO of students voted for Jessica +NO of students voted for  Sierra

= 65+130

= 195

students voted= 195

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Hence, \(x=16\) when \(y=48\).

What is the direct variation?

A direct variation, also called direct proportion is a relationship between two variables \(x\) and \(y\) that can be written as \(y = kx\), \(k\neq 0\).

Here given that,

The direct variation and \(y=75\) when \(x=25\),

As we know that,

\(y\)α\(x\)

\(y=kx\)

\(75=k(25)\\\\k=\frac{75}{25}\\\\k=3\)

So, when \(y=48\)

\(y=kx\\\\48=3x\\\\x=\frac{48}{3}\\\\x=16\)

Hence, \(x=16\) when \(y=48\).

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Answer:

176 cu. cm

Step-by-step explanation:

Vol. of prism = Bh where B is the area of the base and h is the height

V = 22(8) = 176 cu. cm

Answer:

Answer down bellow

Step-by-step explanation:

Q's Asked: A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.

Years of experience Salary

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

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So based on the chart:

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

We can see for each year of experience the "Salary" goes up one thousands constantly. And that makes sense bc as you get used to the work u gradually get better meaning u work better and u also get paid better. ehmm... my bad

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So work side of things based on the chart we see the amount the amount change.  so from

0 to 1 yr

you will be paid $1,150 more.

and from 1 to 2 yrs you will be paid 1110.

and so on.

And btw i got it right on my test !

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