What is the y-intercept of x = -4?

Answer:

525 cm

Step-by-step explanation:

a heptagon has 7 sides and it can be split into 7 different equal triangles and one already has the side so we just find the area of the triangle.

1/2(12)(12.5)

6(12.5)

75

75 is the area of the triangle so now we multiply by 7

75x7=525 cm

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Answer: 525 cm squared

Step-by-step explanation:

Find the area of 1 of the Isoceles triangle and then multiply it by 7, because there are 7 Isoceles triangles in the heptagon. Area= 1/2 base x height = 1/2 x 12cm x12.5cm = 75cm squared. Now 75 cm squared x 7 = 525 cm squared

The simple interest on a $10000 loan offered at a rate of 9% over 240 days is $10591.78

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

The formula is given as

S.I = p(1 + rt)

Substituting the values into the equation,

S.I = 10000(1 + 0.09 * 240)

S.I = 10591.78

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Answer:

Step-by-step explanation:

2+2=4

4+5=9

0+9=9

Answer:

4, 9 , 9 OR 4 + 9 + 9 = 22

Step-by-step explanation:

The equation of the line in the graph is y = 4x - 9..

The equation of a line in slope intercept form can be represented as follows:

The line forms a linear equation.

Therefore,

y = mx + b

where

Therefore, using (0, -9)(3, 3) let's find the slope

m = 3 + 9 / 3 - 0

m = 12 / 3

m = 4

Therefore, let's find the y-intercept using (0, -9).

-9 = 4(0) + b

b = -9

Therefore, the equation is y = 4x - 9.

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Answer:

Step-by-step explanation:

We know that the exterior angle of a triangle is the sum of remote interior angles.

If the triangle is equilateral then the sum of any two interior angles is same otherwise, with any isosceles triangle, we get different sums and therefore the friend is wrong.

Answer:

No.

Step-by-step explanation:

An isosceles triangle has two sides of equal length.  Therefore, only two of its interior angles are congruent.

The exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles).  Therefore, as not all of the three interior angles of an isosceles triangle are congruent, all the exterior angles will also not be congruent.

The monthly payment is 38455 when the P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4%.

Given that,

We have to calculate the monthly payment P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4% (let r=.9967).

We know that,

Formula for monthly payment is P(i(1+i)ⁿ/(1+i)ⁿ-1)

Here,

P is principal amount $75,000

n is number of months 240 months

i is interest rate 4% is 0.04

=P(i(1+i)ⁿ/(1+i)ⁿ-1)

=75,000(0.04(1+0.04)²⁴⁰/(1+0.04)²⁴⁰-1)

=75,000(0.04(1.04)²⁴⁰/(1.04)²⁴⁰-1)

=75,000(0.04(12246.20236)/(12245.20236)

=75,000(0.04×1.000081665)

=38455

Therefore, The monthly payment is 38455 when the P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4%.

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Answer:

d is great than -3

Step-by-step explanation:

because negative numbers are less than whole numbers

Tony has 10.5 cookies.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order term, where m is the slope and b is the y-intercept.

Given that, Adam has 6 cookies less than Tony, there are a total of 15 cookies between both of them.

Let the number of cookies Tony has be x,

x+x-6 = 15

2x - 6 = 15

2x = 21

x = 21/2 = 10.5

Hence, Tony has 10.5 cookies.

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Answer:

.

Step-by-step explanation:

The transformation that converts f(x) to g(x), f(x) is contraction by 5 units

Transformations are mathematical operations which change the shape and orientation of an object or function.

The types of transformations include

Since we have the graph of f(x) = -10(x - 2)² into the graph of g(x)= -2(x - 2)².

We see that f(x) = -10(x - 2)²

= 5 × -2(x - 2)²

= 5g(x)

Since f(x) = 5g(x)

⇒g(x) = f(x)/5

So, we converts f(x) to g(x), f(x) is contraction by 5 units

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The correct statement:  

1/3 equal to 4/12; 4/6 equal to 2/3; 2/5 equal to 5/10

incorrect statement:  2/5 equal to 1/3

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

a) 4/12

Writing into Simplest form

4/12 = 1/3

b) 4/6

Writing into Simplest form

4/6 = 2/3

c) 2/5 cannot be simplified to 1/5

d) 5/10

Writing into Simplest form

5/10= 1/2

Hence, The correct statement:  1/3 equal to 4/12; 4/6 equal to 2/3; 2/5 equal to 5/10 and incorrect statement:  2/5 equal to 1/3.

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The value of pH of the coffee is 4.89

pH is a measure of hydrogen ion concentration, a measure of the acidity or alkalinity of a solution

Given:  The formula pH= -log₁₀ C,

where is the concentration of hydronium ions in the solution measured in moles per litre

The concentration(C) of Hydronium ions type of coffee is 1.3 x 10⁻⁵ moles per liter

To calculate the pH, we will substitute the value of the concentration (C) into the given formula:

pH= -log₁₀ C                     (C = 1.3 x 10⁻⁵ moles per liter)

pH = -log₁₀(1.3 x 10⁻⁵) = 4.89

Therefore, the pH of the coffee is 4.89

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The width of the river to the nearest foot will be 45 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Paula remains on a waterway and sights the contrary bank at a point of the wretchedness of 7 degrees.

If Paula is 5.5 feet tall.

Let 'w' be the width of the river. Then the width of the river will be given as,

tan 7° = 5.5 / w

0.12278 = 5.5 / w

w = 44.79

w ≈ 45 feet

The width of the river to the nearest foot will be 45 feet.

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Answer:

5/14

Step-by-step explanation:

they subtract 1/14th each time
(You cant simplify)

Answer:

$ 52.63

Step-by-step explanation:

The brand C detergent has the best value.

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.

As per the given data in the question:

The information regarding the quantity and cost of 3 detergents is given in the question.

We have to find out which detergent is the most economical.

The detergent with the lowest cost/quantity will be the most economical.

For Brand A

Cost = $14.99

Quantity = 40 ounces

cost/quantity = 14.99/40 = 0.374 dollar/ounce

For Brand B

Cost = $19.99

Quantity = 50 ounces

cost/quantity = 19.99/50 = 0.399 dollar/ounce

For Brand C

Cost = $21.99

Quantity = 1/2 gallon = 64 ounces

cost/quantity = 21.99/64 = 0.343 dollar/ounce

The brand C detergent has the best value.

Hence, The brand C detergent has the best value.

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By using the concept of linear inequation, the required solution is

[tex]x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here the given linear inequation is

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7[/tex]

Now

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5} x > 7 + 3\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5}x > 10\\\\x > \frac{5}{3} \ or \ x < \frac{10 \times 5}{-3}\\\\x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

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solution

3x+18/18

ans4

Answer:  the correct answer is 150 minutes for 40 pages.

Step-by-step explanation:

It takes a word processor 45 minutes to word process and spell check 12 pages.

45 minutes / 12 pages = 3.75 minutes per page

3.75 min/page x 40 pages = 150 minutes

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Answer:

10% of $520

=$52

Money made this week :

$520+$52=$572

Saving:

10% of $572

=$57.2

Money left:

$572-$57.2=$514.8

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Answer: We have been given that,

     Oliver's weekly earnings = $520

      His earnings this week = 10% of $520 +$520

                                               = $520+$52= $572

As he saves 10% of his weekly earnings so he would have been left with

= 10% of $572

= $57.2

So, he only has $52.7 left for spending money this week

Step-by-step explanation:

Diving the polynomial expression f(m) = 8m^3 + 5m^2 - 32m - 20 and g(m)  = 8m + 5, as (f/g)(m) using long division gives m^2 - 4

Long division refers to a way of dividing large numbers including polynomials

performing the long division  (f/g)(m) gives

divisor               8m + 5

dividend            8m^3 + 5m^2 - 32m - 20                      

quotient            m^2

multiplication (quotient and divisor) = 8m^3 + 5m^2

subtraction (dividend - result of multiplication) =  - 32m - 20                       new dividend =  - 32m - 20

divisor               8m + 5

dividend           - 32m - 20                    

quotient            -4

multiplication (quotient and divisor) = - 32m - 20    

subtraction (dividend - result of multiplication) =  0               

new dividend = 0

The quotient is then added as

m^2 - 4

The second option is the correct option

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Work Shown:

11 rock songs

229 total

11/229 is the probability of randomly selecting a rock song. The fraction doesn't reduce since 11 and 229 have no factors in common (other than 1).

If you wanted to convert to decimal form, then 11/229 = 0.04803 approximately. This converts to about 4.803%

Answer:

a) about 190 acres

b) around 240 acres

c) exponential decay because the amount of land available is decreasing at an increasingly rapid rate over time.

Answer:

E

Step-by-step explanation:

I am a line & domain is -7

Answer:

D

Step-by-step explanation:

the y- intercept is the value of y on the y- axis where the function crosses.

the function crosses the y - axis when x = 0

substitute x = 0 into f(x)

f(0) = [tex]2^{0}[/tex] = 1

y- intercept is 1

The value of 2*(3*5) = 68.

The value of (2*3)*5 = 68.

What is multiplication?

A mathematical formula that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of 6 and 5 is 30.

Given: The operation * is defined as,

a*b = a + b - 2ab

We have to find the value of 2*(3*5) and (2*3)*5

First to find the value of 2*(3*5).

2*(3*5) = 2*(3 + 5 - 30) = 2*(-22) = 2 + (-22) - 2(-22)(2) = 68.

Now to find the value of (2*3)*5.

(2*3)*5 = (2 + 3 - 12)*5 = -7*5 = (-7) + 5 - 2(-7)(5) = -2 + 70 = 68.

Therefore, 2* (3*5) = 68 and (2*3)*5 = 68.

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Answer:

x = 62

Step-by-step explanation:

40 + (x + 16) + x = 180 (sum of angles in a triangle=180)

2x + 56 = 180

2x = 124

x = 62

The box must be added with 7 cubic feet of sand

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also be defined as the capacity of an object.

It is measured in cubic units.

The volume of a box is length × width × height

represent the original length, width and height by x ,y ,z respectively

This shows that the volume of the original box= x× y× z = 1cubic foot

when the original length, width and height are doubled to give the new dimensions

Therefore the new length,width and height will be 2x, 2y and 2z

the volume of the new formed box = 2x×2y×2z

= 8xyz

XYZ= 1cubic foot

therefore 8xyz = 8cubic feet

since there is 1 cubic foot of sand in the box already,

then( 8-1)cubic feet = 7cubic feet will be added.

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Answer:

Charlie gets paid more then Derek. Charlie gets paid per hour $52.25

The equation of the transformation of the exponential function y = 2ˣ in the form y = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is y = (-2)·2ˣ + 3

An exponential equation is an equation that has exponents that consists of variables.

The given equation is y = 2ˣ

The equation for the transformation is; y = A·2ˣ + k

The points on the graphs are;

(0, 1), (1, -1) and (2, -5)

Plugging the x and y-values to find the value A and k gives  the following simultaneous equations;

When x = 0, y = 1, therefore;

1 = A·2⁰ + k = A + k

1 = A + k...(1)

When x = 1, y = -1, which gives;

-1 = A·2¹ + k

-1 = 2·A + k...(2)

Subtracting equation (1) from equation (2) gives;

-1 - 1 = 2·A - A + k - k

-2 = A

1 = A + k, therefore;

1 = -2 + k

k = 2 + 1 = 3

k = 3

Which gives;

y = -2·2ˣ + 3 = 3 - 2·2ˣ

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