Triangle ABC has the following angle measures:
mLA = (x + 6)°, mzB = (3x - 15)°, mzC = (5x +36)°
What is m/C?

The amount of liquid protein  in each cell sample is 1/8 ounce

From the question, we have the following parameters that can be used in our solution:

Ounce of liquid = 1/2 ounce

Number of samples = 4 cells

From the above parameter, we can calculate the amount of liquid protein  in each cell sample

Amount = Ounce of liquid /Number of samples

Substitute the known values in the above equation

So, we have the following equation

Amount = (1/2)/4

Evaluate the quotient

Amount = 1/8

Hence, the amount is 1/8 ounce

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Answer:81

Step-by-step explanation:

cus you need multiply the length value by 12

6.75x12 equal 81

The inequality statement for Kendra is written as 5y + x < 47 minutes

Information given in the question

It takes 5 minutes to print a color copy

1 minute to print a black-and-white one

She wants to spend under 47 minutes on printing

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to

let x represent the number of black-and-white printed

let y represent the number of colored copy printed

under 47 minutes means less than 47 minutes

5y + x < 47 minutes

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Answer:D

Step-by-step explanation:

It is a monomial and the others and not

He would pay $8500 interest if he can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years.

The expense of borrowing money is interest. It equates to a fee or additional charge the borrower pays the lender for the loaned amount, and is sometimes stated as a percentage. When you make a payment on a loan with simple interest, the money first goes toward the interest for that month and the rest is applied to the principal. Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Given,

Principal = $425

Rate = 4%

Time = 5 years

Interest = Principal × Rate × time

Interest:

= 425 × 4×5

= 8500

He would pay $8500 interest if he can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years.

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After 4.6 years the car's worth will be $10,600 or less.

According to the question,

We have the following information:

A car is purchased for $38,000. Each year it loses 20% of its value.

Now, we will first find 20% of 38,000:

(20*38000)/100

$7600

Now, each year the decrease in the price will be $7600.

So, we have the following arithmetic progression:

38000, 30400, ...

Now, following formula is used to find the nth term of an A.P:

an = a+(n-1)d where a is the first term and d is the common difference

10,600 = 38000+(n-1)-7600

10600-38000 = -7600n+7600

-27,400 = -7600n+7600

-7600n = -27400-7600

-7600n = -35000

n = 35000/7600

n = 4.6 years

Hence, after 4.6 years the car will be worth $10,600 or less.

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a. The shape of the distribution is normal, by the Central Limit Theorem.

b. The mean is of: 0.23.

c. The standard error is of: 0.125, meaning that the sample proportions differ by around 0.125 from the mean of 0.23.

d. The probability is of: 0.2877 = 28.77%.

By the Central Limit Theorem, as each sample has at least 10 successes and at least 10 failures, the shape of the distribution is normal.

For each sample, the mean and the standard error are given as follows:

Hence for the distribution of differences, the mean and the standard error are given as follows:

Using the z-score formula, the probability that the difference is greater than 30 is one subtracted by the p-value of Z when X = 0.3, hence:

Z = (0.3 - 0.23)/0.125

Z = 0.56

Z = 0.56 has a p-value of 0.7123.

1 - 0.7123 = 0.2877 = 28.77%.

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The perimeter of a face of a cube is 60m that has volume 125 m³.

The total number of cubic units that a cube occupies in three dimensions is its volume. Six faces, twelve edges, and eight vertices make up the three-dimensional shape of a cube. Therefore, the area encircled by a cube's six faces is considered to equal its volume. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. The volume of a cube can be calculated by three times multiplying the edge length.

Given,

Volume of cube = side³

Volume = 125 m³

side³ = 125m³

Side = ∛125

Side = 5

Perimeter of cube = 12 × Side

= 12 × 5

= 60

The perimeter of a face of a cube is 60m that has volume 125 m³.

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The solution is  0.0029

Simplify in mathematics is reducing  an expression, problem or fraction into a simple form.

Rewrite the the expression in mathematical form we have;

[tex]\frac{1 +1 * 34}{19 * 987 - 6961 + 856209 * 0}[/tex]

Simplify the expression

=  [tex]\frac{35}{(19 * 987) - (66961 + (85629 * 0)}[/tex]

Simplify again by subtracting the denominator

=[tex]\frac{35}{18753 - (6961)}[/tex]

= [tex]\frac{35}{11792}[/tex]

= 0.0029 approx..

Therefore, the solution is  0.0029

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[tex]g(x)=cf(b(x-h))+k[/tex]

We know that only a vertical translation and horizontal translation were applied to the graph. How?

To identify what values of h and k to use, identify the translations applied to one of the points:

(1,2) ⇒ (4,4)

Therefore:

Plug this into the equation:

[tex]g(x)=cf(b(x-h))+k\\g(x)=f(x-h)+k\\g(x)=f(x-3)+2[/tex]

[tex]g(x)=f(x-3)+2[/tex]

Answer:

The motherboard

Step-by-step explanation:

cardsIt is the base of all chips and

Answer:

Alternate exterior

Congruent

4

Step-by-step explanation:

The given angles are alternate exterior angles and alternate angles has equal measures so they are also congruent which means to find the value of x:

20x = 80 divide both sides 20

x = 4

The rate of change in proportion A is lower than the rate of change in proportion B.

A proportional relationship is used to illustrate the relationship the variables.

In this case, the proportion A is given as y = 9x.

Proportion B will be:

= 34.5 / 3

= 11.5

This will be illustrated as y = 11.5x

Therefore, it can be seen that B had a higher proportion than A.

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Answer:

39seconds

Step-by-step explanation:

LCM=6×6.5=39seconds

The image of the quadrilateral ABCD when translated to the right by 5 units is given as attached. When translated, the new coordinates are given as follows;

A' = (4,2)

B' = -1,1)

C' = (-2,-2)

D' = 5, -5)

A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction.

There are several forms of translation:

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This is pretty simple because all you have to do to find this product is to write it out as 3xy. These are still multiplied, making it the product.

Answer:

it is equal to 5⃣ hope that m not wrong

Step-by-step explanation:

the inner and the outer angle at a vertex of a triangle are complementary angles or a linear pair of angles.

that means together they have 180°.

180 = inner + outer = 48 + outer

outer = 132°

the exterior angle is 132°.

i is expression is equivalent to i233.

Given i233

We know that i2 = -1 , if we square (i2) we get (-1)2 = 1

So, if i is multiplied to (i2), we get i3 = (-1).i = -i

Again if i is multiplied to i3 , we get i4 = (-i).i = -i2 = -(-1) = 1

Hence, all even powers of i after 2, will give answer as 1

The sequence will continue as a cycle as i, -1, -i, 1

So, i233 can be rewritten as i232 + 1= i232.i

i233 = (i2)116 .i = (-1)116 . i

Since the power 116 is even , the term becomes 1.i = i

Therefore, i233 = i

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Answer: B.) 240 / 100

Step-by-step explanation:

A percentage is x / 100

For example, 4% = 4 / 100.

So 240% is 240 / 100.

The decrease of the population from the question can be modeled by;

P = 92000e^-0.02t

We know that the population of a place can be modeled by the use of an exponential model. In the exponential model, there could be an increase or  decrease in the population of a place as the case may be. In this case, we are told that there is a decrease in the population of the place.

Let us note from the question that we have been told that every year after 2010, the population decreased by 2% due to heavy population. We were also made to understand in the question that the initial population of the city is about 92000.

Now, we can write the model as;

P = Poe^-rt

P = population of the area at time t

Po = population initially present

r = rate of population decrease

t = time taken since 2010.

We can now write;

P = 92000e^-0.02t

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The equation of the line is y = -68.7x - 5.1 when the slope is 68.7 and the y - intercept is -5.1.

Equation of the line

Basically, the equation of the line refers the mathematical equation that gives the relation between the coordinate points lying on that straight line.

The general form of the equation of the line is

y = mx + c

where

m refers the slope

c refers the y intercept

Given,

Here we have the value of slope is -68.7 and the y intercept is -5.1.

Now, we have to write the equation of the line.

Here we have the value of

Slope = -68.7

y- intercept = - 5.1

So, the equation of the line is written as,

=> y =-68.7x - 5.1

Therefore, the equation of the line with the given slope and intercept is

y = -68.7x -5.1

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Domain of {(0, −2), (-3, 1), (-4, 3), (1, −4)} is (0, -3, -4, 1) and range of

{(0, −2), (-3, 1), (-4, 3), (1, −4)} is (-2, 1, 3, -4).

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

Given,

{(0, −2), (-3, 1), (-4, 3), (1, −4)}

The set of all x coordinates makes up the domain, while the set of all y coordinates makes up the range.

Domain = (0, -3, -4, 1)

Range = (-2, 1, 3, -4)

Domain of {(0, −2), (-3, 1), (-4, 3), (1, −4)} is (0, -3, -4, 1) and range of

{(0, −2), (-3, 1), (-4, 3), (1, −4)} is (-2, 1, 3, -4).

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Answer:

30 x n - 60 = 20 x n

1 day

80

Step-by-step explanation:

A fraction can easily be written as a percent when the denominator is 100 , the correct option is (a) .

in the question a fraction is given ,

we need to find , what should be the denominator to express the fraction in percent .

the definition of percent states that one part of every hundred is called as percent ,

So , by the definition of percent we can conclude that A fraction can easily be written as a percent when the denominator is 100 .

For Example : 5% can be written as 5/100 , where the denominator is 100 .

Therefore , A fraction can easily be written as a percent when the denominator is 100 .

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The solution to the problem is X =-6

Simply in mathematics is reducing the problem or fraction into basic form

Simplify the equation by finding the root of the equation

   [tex]2^{2(2x-3)}[/tex]= [tex]2^{3(x+4)}[/tex]

Divide the side of the equation by each other

  {2(2x-3)} = {3(x- 4)}

Open the bracket by multiplying the right hand side and left by their coefficient.

    4x -6 = 3x - 12

Collect the like terms and the unknow X be on the left side

    4x-3x = 6-12

     x = -6

Therefore, the solution to the problem is X =-6

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At a sale, suits were sold for $72 each and this price was 45% of a suit's original price which means that suit originally cost $160.

This is referred to as a number or ratio that can be expressed as a fraction of 100.

Selling price = $72 which is 45% of a suit's original price.

Therefore, 45/100 × X =  $72.

45X = 7200

X = 7200/45 = $160.

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Answer:

6/1 is what i got, is that a right answer?

Step-by-step explanation:

3/7 by 1/14

2*3/1*1 over 14 =6/1 over 14 simplified 3/7.

Answer: 3 1/3

Step-by-step explanation:

Each tick mark marks 1/3 of a space. A is at - 3 1/3. The absolute value of any number is positive and is just the number of spaces a dot is from zero. You can’t have a negative distance, so the answer is 3 1/3.

Answer:

y = x + 20

30 weeks

Step-by-step explanation:

The given scenario can be modelled using the linear equation:

[tex]y=mx+b[/tex]

where:

Mindy initially owns 20 pairs of shoes. Therefore, the initial value is b = 20.

If Mindy purchases 2 pairs but destroys 1 pair each week, then she is gaining 1 pair of shoes each week.  Therefore, the rate of change is m = 1.

Therefore, the equation is:

[tex]y=x+20[/tex]

where:

To find how long it will take for Mindy's closet to have 50 pairs of shoes, substitute y = 50 into the equation and solve for x:

[tex]\implies 50=x+20[/tex]

[tex]\implies 50-20=x+20-20[/tex]

[tex]\implies 30=x[/tex]

[tex]\implies x=30[/tex]

Therefore, it will take Mindy 30 weeks to have 50 pairs of shoes in her closet.

Answer:

1.25

Step-by-step explanation:

3/4 snot = 6 cat

/6              /6

______________

0.125 snot = 1 cat

*10                 *10

______________

1.25 snot = 10 cat