What is the equation of the line that is perpendicular to the line y = -5x - 12 and passes through the
point (10, 4).

Answer:

B

Step-by-step explanation:

12 multiplied by 5 is 60 and 10 multiplied by 6 is 60. which is the lowest that they both will meet

James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

Answer:

Step-by-step explanation:

-11+?=15

?=15+11

15+11= 26

So, -11+26=15.

?-(-3)= 5

?+3=5

?=5-3

?=2

So, 2-(-3)=5.

?+(-4)=7

?-4=7

?=7+4

?=11

So, 11+(-4)=7.

?+-8=3

?=3+8

?=11

So, 11+-8=3.

-2+?=1

?=1+2

?=3

So, -2+3=1.

?-12=-4

?=-4+12

?=8

So, 8-12=-4.

Answer:

w = 135

Step-by-step explanation:

-27 = -w/5

multiply both sides by 5:

5(-27) = 5(-w/5)

-w = 135

divide both sides by -1:

-w/-1 = 135/-1

w = 135

The value of w is 135 in the equation -27 = -w/5 .

We are provided with the equation mentioned below:

-27 = -w/5

As per the question we have to simplify and solve this above mentioned equation. To simplify this provided equation we will follow the steps mentioned below:

-27 = -w/5                                                      equation 1

On multiplying both the sides of equation 1 with 5, we will get

(-27) × 5 = (-w/5) × 5

- 135 = -w                                                       equation 2

On multiplying both the sides of equation 2 with -ve sign, we will get

w = 135

Thus, we can write that the value of w is 135.

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Answer:

When a number is outside parentheses, the operation it indicates is Multiplication

Explanation:

When a number is outside parentheses such as;

The operation it indicates is Multiplication, for the example above, it means that 4 will multiply each of the numbers inside the parentheses.

Therefore, When a number is outside parentheses, the operation it indicates is Multiplication

The recursive formula for the sequence 13, 3, -7, -17 is 3 + 10n.

It should be noted that the nth term for an arithmetic sequence is illustrated by the formula:

= a + (n - 1)d.

where a = first term = 13

d = common difference = 3 - 13 = 10

n = number of terms

Therefore, the recursive formula will be:

a + (n - 1)d.

= 13 + (n - 1)10

= 13 + 10n - 10

= 3 + 10n

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The working equation when dealing with problems regarding compounded interest is

where A is the future value, P is the principal value, r is the annual rate, and n is the number of compounding periods.

The problem compounds quarterly, hence, we have n = 4.

We derive the working equation to solve for t, as follows:

Substitute the values of A, P, n, and r on the derived equation above and solve for t, we get

Therefore, the $4000 investment grows to $5780 in 9.25 years.

Answer: No Solution

Step-by-step explanation: Simply use the formula. Which then you get no solution

Answer:

0 miles driven:$45, 1 miles driven:$47.5, 2 miles driven:$50, 3 miles driven:$52.5

Step-by-step explanation:

Answer:

i think y=1/2x+1 or y+3=1/2 times (x+8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

32=2⁵

therefore=2⁵×⅕

=2

The value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is

x = - 12.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given is the following equation -

3(x − 5) = 5x − (3 − x)

The given equation is -

3x - 15 = 5x - 3 + x

Simplifying for (x), we get -

3x - x - 5x = - 3 + 15

- x = 12

x = -12

Therefore, the value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is x = - 12.

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Answer: 0.195

Step-by-step explanation:

36 cm tall will their stacks be when they are the same height for the first time.

Given,

Two students in Mrs. Johnson's preschool class are stacking blocks:

The height of Reece's block = 4 cm

The height of Maddy's block = 9 cm

We have to find the height of the stacks when they are same height for the first time.

Here,

We have to find the least common multiple.

Least Common Multiple (LCM):

The smallest number that is a multiple of both of two numbers is called the least common multiple.

So here,

We have to find the least common multiple of 4 and 9.

Here, the least common multiple of 4 and 9 = 36

Then,

36 cm tall will their stacks be when they are the same height for the first time.

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A) The end behavior of the polynomial graph is that;

as x → -∞, y → -∞, and as x → ∞, y → ∞

B) The given graph polynomial represents an even degree polynomial.

The end behavior of the graph of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity.

Now, we see from the graph that as x approaches a larger value, y values are getting increasingly negative. This means that as x approaches negative infinity, the values of y approach negative infinity.

In a similar approach, we can see that as the values of x approach positive infinity, the values of y also approach positive infinity.

Thus, we can say that option  D is correct.

B) Odd-degree polynomial functions, are those that have graphs that extend diagonally across the quadrants while even-degree polynomial functions are those that have graphs that open upwards or downwards.

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A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. Then ted pay for 2 t-shirts and 4 pairs of shorts is $59.4

A t-shirt and a pair of shorts cost $29.75 together.

jason paid $228.55 for 12 t-shirts and 5 shorts.

how much will ted pay for 2 t-shirts and 4 pairs of shorts

let T denote for t shirt and S denote for shorts

then T+ 2S=29.75

       12T+ 5S=228.55

solving these equation

multiply by 12 in 1 , we get

12T+ 24S= 357

12T+ 5S=228.55

substract these two equation we have

19S=128.45

S= 6.76

we can substitute in 1 we get

T + 13.52 =29.75

T=16.23

Hence , 2T + 4S = 32.46+27.04=59.4

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Step-by-step explanation:

The base length of triangle for the store is b ≤ 5in.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.

A polygon also includes a triangle.

Triangle's characteristics:

Given:

height of triangle(h)=4in

Area of triangle(A)≤ 10in²

let base length of triangle be b

Area of triangle is given by:

Area = (1/2) × base × height

(1/2) × b × 4 ≤ 10

2b ≤ 10

b ≤ 5 in

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Let's expand the rational number with the conjugate of the expression in the denominator.

Answer:

Step-by-step explanation:

root of 9 is 3

root of 8 is 2.8

the equation =-2.5

His lifetime earnings when he retires at the age of 68 is $2,817,385.1728.

The total number of years Demarcus will work is 68 - 24 = 44 years.

Now, there are about 52.1429 weeks per year; therefore, the number of weeks in 44 years will be:

44 years × 52.1429 weeks/year = 2294.2876 weeks

We are also told that Demarcus gets paid once every two weeks; this means the number of payments made in 44 years will be:

2294.2876 / 2 = 1147.1438 payments

Since each payment is worth $2,456.00, the total amount earned from 1147.146 payments will be:

1147.146 payments × 2456 per payment = $2,817,385.1728

Hence, Demarcus' lifetime earnings if he retires at the age of 68 will be $2,817,385.1728.

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Answer: The answer is y

Step-by-step explanation:

Answer: Equation is x+45 = 90

It solves to x = 45

Explanation:

The two angles are complementary, which by definition means they join together to form a right angle. The two pieces x and 45 add to 90 degrees.

To solve the equation x+45 = 90, we subtract 45 from both sides to get x = 45.

As a check x+45 = 45+45 = 90.

Answer:

because the six is a negative number (-6)

Answer: ...

Step-by-step explanation: Find the hypotenuse x. Suppose angle A = 50°, angle B = 60°, and angle C = x are the angles of a triangle. ABC. By using the angle sum property we can find the value of x. angle A + angle B + angle C = 180 degrees. Solve for x in fractions, we simply do the cross multiplication and simplify the equation to find x.

5.25 pounds of mashed potatoes is required to fill the container.

In the question, we were told the container was 4/6 filled and the chef used  3 2/4 pounds which is equal to 14/4 pounds of mashed potatoes.

In doing this, we are calculating the volume of the container.

Let's equate this and find how many pounds will fill the container.

[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\ 1 fill = x pounds[/tex]

Let's cross multiply both sides and solve for x.

[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\1 = x pounds\\x = \frac{1 * \frac{14}{4} }{\frac{4}{6} }\\x = \frac{21}{4} = 5.25 pounds[/tex]

To fill the container, we need 5.25 pounds of mashed potatoes.

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Given:

Find-:

Match the item

Explanation-:

(1)

The commutative property of addition is:

So the commutative property of addition is:

(2)

The multiplicative inverse is:

So value is:

(3)

Associative property of addition

So the value is:

(4)

Additive identity.

The property of additive identity is:

So the value is:

(5)

The distribution property is:

A complex number z = a + bi has the trigonometric form z = r(cosθ + I sinθ ), where r = |a + bi| is z's modulus and tanθ = b.

the angle generated by the complex number on a polar graph having one real axis and one imaginary axis. This may be calculated using the right angle trigonometry for the trigonometric functions. Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

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In the given figure,

(7x + 73) + (10x + 22) = 180 ........(Because they are linear pair)

⇒ 7x + 73 + 10x +22 = 180

⇒ 17x + 95 = 180

⇒ 17x = 180-95

⇒ 17x = 85

⇒ x = 85/17

⇒ x = 5

Now, 7x +73 = z ....................(Because they are vertically opposite angles)

⇒ 7 x 5 + 73 = z

⇒ z = 35 + 73

⇒ z = 108°

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