Can you find the slope for me

The value of a is 2.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment FG, where the length of line segment FG refers to the distance between its endpoints, F and G.

Given that M is the midpoint of FG

FG = 14a + 1 and  FM = 14.5

FG = FM + MG

Since M is the midpoint of FG, So FM = MG

FG = FM + FM

FG = 2FM

Substitute the values of FG = 14a + 1 and  FM = 14.5,

14a + 1 = 2(14.5)

14a + 1 = 29

14a = 28

a = 28/14

a = 2

Therefore, the value of a is 2.

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Your question was incomplete. Please refer the content below:

Suppose M is the midpoint of FG. Find the missing measure.

FG = 14a + 1. FM = 14.5

Answer A=?

It's 47. I used a calculator.

The two integers which the length of one side is in between are 72 yards and 73 yards

The given parameters are

Area = 5280 square yards

Shape = Square

The area of a shape is calculated using

Area = Length^2

So, we have

Length^2 = 5280 square yards

Take the square root of both sides

Length = 72.66 yards

72.66 yards is between 72 yards and 73 yards

Hence, the two integers which the length of one side is in between are 72 yards and 73 yards

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Account Y would earn Monica about $62.70 more interest than account X.

Given Monica deposits $3000.

Bank offers two different savings accounts.

Account X pays 2.1% simple annual interest and Account Y pays 2.4% compounded annually, both for 5 years.

For account X, we have:

Principal (P) = $3000

time (t) = 5 years

rate of interest (r) = 2.1%

we need to calculate simple interest:

Simple interest = P×t×r/100

= 3000c5×2.1/100

= $315

simple interest for 5 years is $315

For account Y, we have:

Principal (P) = $3000

time (t) = 5 years

rate of interest (r) = 2.4%

we need to calculate Compound interest:

compound interest = P×(1₊rate)^time ₋ P

= 3000(1₊2.4/100)⁵ ₋ 3000

= 3000(1.024)⁵ ₋ 3000

= 3000(1.12589907) ₋ 3000

= 3377.69 ₋ 3000

= $377.69

The compound interest for 5 years is $377.7

compound interest of account Y ₋ simple interest of account X

= 377.7 ₋ 315

= $62.70

hence the right option is that account Y would earn Monica about $62.70 more interest than account X.

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Your question is incomplete.Please find the missing content below.

Monica wants to open a savings account with a deposit of $3000. Monica will not make any additional deposits or withdrawals after she opens the account. Her bank offers two different savings accounts. Account X pays 2.1% simple annual interest. Account Y pays 2.4% interest compounded annually. Which statement about these accounts at the end of 5 years is true?

Account X would earn Monica about $62.70 more interest than Account Y.

Account Y would earn Monica about $62.70 more interest than Account X.

Account X would earn Monica about $45.00 more interest than Account Y.

Account Y would earn Monica about $45.00 more interest than Account X.

Answer:

y = 3x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation of the parallel line

to find c substitute (1, 12 ) into the partial equation

12 = 3 + c ⇒ c = 12 - 3 = 9

y = 3x + 9 ← equation of parallel line

Answer:

Y = 7/{3^(x+1)}

The number 7 is constant in the relation

The denominator is increasingly exponentially with the number 3 as i

The perimeter of the right angled triangle is 24 units.

The perimeter is defined as the sum of all sides of a polygon. To calculate the perimeter of a triangle we add the length of all the 3 sides of the triangle.

The given side lengths are 6 and 8 units.

We know from Pythagorean theorem that for a right angled triangle the sum of the squares of the legs is equal to the square of the hypotenuse of the triangle.

Hypotenuse is the longest side in a right angled triangle.

Therefore the hypotenuse in this triangle is given by:

Hypotenuse² = 6² + 8²

or, hypotenuse = √(36 + 48) units

or, hypotenuse =√100

or, hypotenuse= 10 units

Now perimeter = (6 + 8 + 10) units = 24 units.

Hence the perimeter of the given right angled triangle is 24 units.

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Answer:

{ 0, 1 , 7}

Step-by-step explanation:

A U B= {1,0,1}. {0,1,7}

={0,1,7}

Answer: a. -5

b. 4

c. -2

Step-by-step explanation:

a. x=-3 ==> x<0

f(-3)=

3(-3)+4=

-9+4=-5

b. x=3 ==> x>=0

f(3)=

2(3)-2=

6-2=4

c. x=0 ==> x>=0

f(0)=

2(0)-2=

0-2=-2

Answer:

  translation 3 units up: g(x) = f(x)+3

Step-by-step explanation:

You are given graphs of f(x) and g(x) and want to know the transformation that gives g(x) from f(x).

The sorts of transformations of graphs that we study are translation, scaling (horizontally or vertically), and reflection about an axis.

Here, both graphs have the same shape, but one is in a different place than the other. The applicable transformation is one of translation.

The vertex of f(x) is at (0, -1). The vertex of g(x) is at (0, 2). We note the x-value has not changed, but the y-value has had 3 added to it. (-1 +3 = 2)

  g(x) = f(x) +3 . . . . . . the function f is translated 3 units upward.

If the overall percentage of the defective panels from the two plants is 5% then plant B produced 4000 panels in total.

This question can be solved by formulating the problem into the form of a linear equation having two variables. Linear equation in two variables can be represented in the form of ax+by+c=0 where a, b and c are real numbers and x, y are variables or the coefficients, and a, b ≠ 0.

Let the production from plant A be x, and according to the question x=10000.

Also, let the production from plant B be y.

Now, as 3% of products are found defective from plant A and 10% of products are found defective from plant B and overall defective products is 5%.

Thus, 0.03x+0.1y=0.05(x+y)

As x=10000 then

0.03×10000+0.1y=0.05(10000+y)

300+0.1y=500+0.05y

0.05y=200

=>y=4000

Thus, the total number of panels produced by plant B is equal to 4000.

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$525

Step-by-step explanation:

Ben bought the house for $78,850 so 78,850 divided by 0.15 equals 525. So the answer is $525.

Answer:

336/34

Step-by-step explanation:

Answer:

6 cups

Step-by-step explanation:

cuz im smart :)

a. 55% of the maximum weight is 33 pounds.

b. 114 pounds is 190% of the weight limit.

c. 57 pounds is 95% of the maximum.

Answer to Part a:

Let c be the weight limit percentage for 33 pounds.

Then we have (60 x c)/100 = 33 pounds

This implies 3c/5 = 33

This means that 3c = 33 x 5 = 165.

This means that c = 165 / 3 = 55.

Therefore 55% of the weight limit is 33 pounds.

Answer to Part b:

Let d be the weight limit percentage for 114 pounds.

Then we have (60 x d)/100 = 114 pounds

This implies 3d/5 = 114

This means that 3d = 114 x 5 = 570.

This means that d = 570 / 3 = 190.

Therefore 190% of the weight limit is 114 pounds.

Answer to Part c:

95% of the weight limit is

= 95 x 60 /100

= 95 x 3/5

= 19 x 3

= 57

Therefore, 95% of the weight limit is 57 pounds.

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The given function for peanuts is continuous function.

A continuous function, as the name implies, refers to one for whom the graph is continuous without a breaks or jumps.

For the given expression in the question;

The relation between the cost 'c' and wight 'p' in pounds for the peanuts is given as;

c = 1.5p

As, you can see that the expression is a polynomial having two variables with the highest degree 1.

And, as we know that the every polynomial is a continuous function.

The given function forms a straight line on as for every different real value of p there s single value of c, which varies linearly.

Therefore, the function c = 1.5p is a continuous function forming a straight line.

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Answer:

Volume is when you are finding the space inside of a 3D figure, and surface area is when you are finding the area of the surface(s) of a figure.

Hope this helps :)

For the given parallel ines cut by a transversal line the correct statement is (4). ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.

The intersections of two parallel lines formed by a transversal form several angles. These are referred to as transversal angles. Here are some examples of transversal angles:

Angles are said to be supplementary to each other when two adjacent angles are formed at a point on a line so that the sum of their measures is 180°.

∠7 and ∠8 are supplementary in the attached figure since they represent a pair of adjacent angles which constitute a straight line.

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The correct question:

Please Help! The figure below shows parallel lines cut by a transversal:

Which statement is true about ∠7 and ∠8?

1. ∠7 and ∠8 are supplementary because they are a pair of corresponding angles.

2. ∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.

3. ∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.

4. ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.

The factorized form of the quadratic is 2*(x + 2)*(x + 4), and when x = 3m, the walkway area is 52 square meters.

Here we know that the area is given by the expression:

2x^2 + 12x + 16

To factorize this, we need to find the roots of the quadratic equation, these are the solutions of:

2*x^2 + 12x + 16 = 0

The solutions are given by:

x = (-12 ± √(12^2 - 4*2*16))/(2*2)

x =  (-12 ± 4)/4

The two solutions are:

x = (-12 + 4)/4 = -2

x = (-12 - 4)/4 = -4

Then the factored form is:

y = 2x^2 + 12x + 16 = 2*(x^2 + 6x + 8) = 2*(x + 2)*(x + 4)

Now we want to get the area if the walkway if x = 3, the total area of the walkway and the garden will be:

y = 2*(3 + 2)*(3 + 4) = 70

And the garden measures x by 2x, then if x = 3, the area of the garden is:

a = x*2x = 3*(2*3) = 18

Then the area of the walkway alone is:

70 - 18 = 52

The area of the walkway is 52 square meters.

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A figure with the same perimeter as the one shown is a rectangle of base 3x and height 2, as given in the end of the question.

The perimeter of a figure is given by the sum of all the outer sides of the figure.

Hence, for this problem, the perimeter is given by:

P = x + 3 + 2x + 1 + 3

P = 6x + 4.

A figure with the same perimeter as the one shown is a rectangle of base 3x and height 2, as given in the end of the question, as:

3x + 3x + 2 + 2 = 6x + 4.

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Answer:

[tex](x + 21)(3x + 9) \\ x(3x + 9) + 21(3x + 9) \\ 3 {x}^{2} + 9x + 63x + 189 \\ 3 {x}^{2} + 72x + 189[/tex]

Answer:

=-2

________________________________________________________

[tex]a-\left(-b\right)=a+b[/tex] <- Apply this rule too -14-(-12)
[tex]-14-\left(-12\right)=-14+12[/tex]
[tex]=-14+12[/tex]
[tex]-14+12=-2[/tex] <- Add the numbers
[tex]=-2[/tex]
________________________________________________________
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Product Evaluation Rating for Brand A = 7.5

Product Evaluation Rating for Brand B = 7.4

Product Evaluation Rating for Brand C = 8.3

A product's acceptability for customers or a specific group is determined through the methodical process of product evaluation.

A visual representation of consumer behavior in terms of purchasing choices is a consumer buyer matrix. It also serves as a marketing tool for strengthening and expanding brands.

Given that :

Product Attributes -

Probability = 0.2

Sound projection = 0.5

Warranty = 0.3

Probability of Brand A = 7

Probability of Brand B = 10

Probability of Brand C = 6

Sound projection of Brand A = 8

Sound projection of Brand B = 6

Sound projection of Brand C = 10

Warranty of Brand A = 7

Warranty of Brand B = 8

Warranty of Brand C = 7

Calculation of Product Evaluation Rating :

Brand A = (7 x 0.2) + (8 x 0.5) + (7 x 0.3) = 1.4 + 4 + 2.1 = 7.5

Brand B = (10 x 0.2) + (6 x 0.5) + (8 x 0.3) = 2 + 3 + 2.4 = 7.4

Brand C = (6 x 0.2) + (10 x 0.5) + (7 x 0.3) = 1.2 + 5 + 2.1 = 8.3

Therefore,

Product Evaluation Rating for Brand A = 7.5

Product Evaluation Rating for Brand B = 7.4

Product Evaluation Rating for Brand C = 8.3

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Plotting the inequalities using online graphing calculator. The graph is attached.

What is the example of inequality?

Given the system of inequalities:

3y > 2x + 12

3y - 2x > 12   (1)

2x + y < -5    (2)

Plotting the inequalities using  online graphing calculator. The graph is attached.

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Answer: x=21

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

9 and 3/5 hours or 9 hours and 36 minutes

Step-by-step explanation:

Rate x times = number of jobs

Jemuel's rate is 1 job/ 16 hours.

Lemuels's rate is 1 job/12 hours.

1/16T + 1/14T = 1  Get a common denominator of 48

3/48T + 2/48 t = 1

5/48T = 1  Multiply both sides by 48/5

(45/5)(5/48)T = 1(48/5)

t = 48/5 = 9 3/5 hours.