Solve for x:

2(x-6)=14(3-9)

The values of the sine and tangent of the angle are √2 / 2 and - 1. By using inverse trigonometric functions, the value of angle is 135° (3π / 4).

According to the statement, the cosine of the angle is in the second quadrant and therefore the value of the sine must be positive and the value of the tangent must be negative. Then, the value of the sine is found by the fundamental formula:

sin θ = √(1 - cos² θ)

sin θ = √[1 - (- √2 / 2)²]

sin θ = √(1 - 1 / 2)

sin θ = √(1 / 2)

sin θ = √2 / 2

And the value of the tangent:

tan θ = sin θ / cos θ

tan θ = (√2 / 2) / (- √2 / 2)

tan θ = - 1

By using inverse trigonometric functions, we find that the value of angle is 135° (3π / 4).

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Answer:

It would be the last one D

Step-by-step explanation:

Because -1/x would be the recipricol graphing equation (I think) maybe not the recipricol but because the x is on bottom it's gonna make two graphs. I hope this helps some

Answer:

93

Step-by-step explanation:

By the definition of a midpoint, FG=GH.

[tex]16x-19=12x+9 \\ \\ 4x-19=9 \\ \\ 4x=28 \\ \\ x=7 \\ \\ GH=16(7)-19=\boxed{93}[/tex]

Answer:

5 1/10

Step-by-step explanation:

let me know if you need an explanation

Answer:

I=$10800

Step-by-step explanation:

I=($120000×9×1)÷100

I=$1200×9=$10800

Answer: E & B

Step-by-step explanation:

Answer:

he works 7 dollars an hour so 16 x 7 = 112 that's for a whole week a year would be 356 x 7 = 2,555 that's 1 whole year

Step-by-step explanation:

sorry if i got this wrong

Answer: D

Step-by-step explanation: its just right

Answer: 17 liters

Step-by-step explanation:

Make a proportion:

100 km - 8 liters

350 km - x liters

Hence,

[tex]\displaystyle\\x=\frac{350*8}{100} \\\\x=\frac{2800}{100}\\\\x=28\ liters \\\\45-28=\\7\ liters[/tex]

The mixed fraction 7[tex]\frac{1}{4}[/tex] is equal to the improper fraction 29/4.

Improper Fraction - If the numerator exceeds the denominator in a fraction, it is referred to be Improper Fraction. Some examples include 9/2, 8/5, 10/3, etc.

Mixed Number - A whole number along with a proper fraction forms a mixed number. Also known as mixed fraction.

For the conversion of 29/4 into mixed number

Divide the numerator 24 by denominator 4

29 ÷ 4 = 7

Remainder = 1

Write the number 7 and then write 1 (the remainder) as the numerator and the 4 as the denominator (the denominator will remain tne same).

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The correct question should be which of the following mixed fraction is equal to the improper fraction 29/4 ?  

The value indicated of the function indicated on the graph of the function is 2

The graph represents the given parameter

The given graph is a linear function

This is so because the graph is represented by a straight line

A linear function is represented as

f(x) = mx + c

Where the vertex is

m represents the slope

c represents the y-intercept

From the given graph of the equation, we have

f(1) = 2

This means that

When x = 1, the value of f(x) is 2

Hence, the value indicated of the function indicated on the graph of the function is 2

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Answer:

1ai. x is less than or equal to 8

1ei. x > 4 and x > 1

Step-by-step explanation:

Steps for solving 1ai

Steps to solve 1ei

Answer: 286.474227

Step-by-step explanation:   The answer is correct if doing division, if not then this is wrong. I divided 277.88 with 0.97 and got 286.474227

Based on the calculations, the value which closest to the mean of the distribution is equal to: B. 18 inches.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

Z = (x - μ)/δ

Where:

If 15 percent of the rainbow trout are longer than 15 inches, then we have:

P(x > 15) = 0.15

From the z-table, the z-value which corresponds to a mean of 0.15 is given by:

z-value = -1.036

Substituting the given parameters into the formula, we have;

Z = (x - μ)/δ

-1.036 = (15 - μ)/2.4

-1.036 × 2.4 = 15 - μ

-2.4864 = 15 - μ

μ = 15 + 2.4864

Mean, μ = 17.4864

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Complete Question:

The distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?

A. 26 inches

B. 18 inches

C. 30 inches

D. 33 inches

E. 34 inches

Answer:

The answer is B

Step-by-step explanation:

I am 100% sure

Step-by-step explanation:

AB and AD, i got the same question and the answer was right

Answer:

Radius AB = 9.3 units

Step-by-step explanation:

BC (tangent) make right angle with radius AB.

AC = 16 units

BC = 13 units

Find:

Radius AB = ?

Computation:

Using Pythagoras theorem:

Radius AB = 9.3 units

===================================================

Explanation:

The down payment and trade-in value add to 4000+6500 = 10,500

Subtract this total from the car's cost

42,100 - 10,500 = 31,600

This is the amount loaned to the customer.

---------------

We have these input values

Let's compute the monthly payment

P = (L*i)/(1 - (1+i)^(-n))

P = (31600*0.00375)/(1 - (1+0.00375)^(-60))

P = 589.119408031938 approximately

P = 589.12

Answer: The first one is 36. The second one is 0. The third one is 1/216 and the last on is 1/1,296.

Step-by-step explanation:

Based on the calculation below,  the ending debit balance in the Cash account is $14,500.

The ending balance in the Cash account can be calculated using the following formula:

Ending balance = Beginning-of-the-period cash balance + Cash sales for the month - Current-period purchases - Amounts due from last month .......... (1)

Substituting all the relevant into equation (1), we have:

Ending balance = $12,000 + $8,000 - $2,500 - $3,000

Ending balance = $14,500

Since the $14,500 is positive, this implies that the ending can balance is debit.

Note that sales on the account is not cash transaction and that is it is not included in the calculation.

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33in is length of  CD by using angle of reflection.

What is Angle of reflection?

CD should be a perpendicular line to CB.

Angle of incidence = Angle of reflection

Angle ACD = Angle EAC

Let the perpendicular intersection point from A to side be G

The two right-angled triangles, CDG and CAG, are similar by AAA.

So DG/AG = CD/CA

46/18 = CD/CA

CD+CA = 96-50 = 46

CA = 46-CD

46/18 = CD/(46-CD)

46*46 - 46CD = 18CD

64CD = 46*46

CD = 33.06 = 33in

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I am pretty sure the answer is 150 because, as, first find the how many minutes does it take for 1 page and then the just multiply the answer with 40

Step-by-step explanation:

45/12=3.75 ×40

The remainder and factor of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] is [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and [tex]0[/tex]

As per the given question, we are supposed to find out the factor and remainder of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] using remainder theorem concept.

Before solving this, we need to know the concept of remainder theorem.

According to which "When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem."

Hence using the same concept we can conclude that the factors are [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and remainder is [tex]0[/tex]

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The x-intercept of given equation is x=6 and point is (6,0).

Given the equation is -5x+3y=-30.

Here, we will find the x-intercept of the given equation.

The x-intercept is the point at which a line intersects the x-axis and the y-intersection is the point where a line intersects the y-axis.

We will find the x-intercept by substituting y=0 and applying the inverse operations.

Firstly we will substitute y=0 in equation, we get

-5x+3(0)=-30

Now, we will simplify this, we get

-5x+0=-30

-5x=-30

Further, we will divide both sides with -5, we get

-5x/-5=-30/-5

x=-6

Hence, the x-intercept of the given equation -5x+3y=-30 is x=6.

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Number of ham slider sandwiches can be made is 200.

According to given data,

cooked ham weighs is 11 kilograms and

each sandwich has. 55 grams of cooked ham

we convert 11 kilograms to 11 grams

so we multiply 11 kilograms with 1000

then we get, 11×1000 = 11000 grams

number of ham slider sandwiches prepared

⇒ [tex]\frac{11* 1000}{55}[/tex]

⇒ [tex]\frac{1000}{5}[/tex]

⇒ 200

Therefore, we get number of prepared ham slider sandwiches is 200 .

Converting

Write the number of grams. Label it "grams" or "g." If you're using a calculator, just type the number in.

In this section, we'll follow along with an example problem to make things easier. Let's say that we want to convert 20,000 grams to kilograms. To start, we would write "20,000 grams" on our paper.

Divide by 1,000. A kilogram is one thousand grams. This means that to get kilograms from grams, you just need to divide the number of grams by 1,000.

In our example, we would get kilograms by dividing 20,000 grams by 1,000.

20,000/1,000 = 20

Label your answer. Don't forget this step! Labelling your answer with the proper units is important. If you're doing this conversion for schoolwork, you can lose points if you don't label. If you're doing it for something else, people may assume the wrong units.

In our case, we would label our answer with the label "kilograms" like this:

20 kilograms.

To get back to grams, multiply by 1,000. As discussed above, a kilogram is one thousand grams. This means that if you ever want to get back to grams from kilograms, all you need to do is multiply the number of kilograms by 1,000. Since multiplications is basically the "opposite" operation as division, this will "undo" the division and give you grams.

To get 20 kilograms back to grams, we just multiply by 1,000 (don't forget to label your answer again):

20 kilograms × 1,000 = 20,000 grams

Converting by Shifting the Decimal Point

Start with your number of grams. Believe it or not, you can convert between grams and kilograms without doing any math. This works because the metric system is a base 10 system of measurements. In other words, metric units are always a multiple of 10 apart from each other — there are 10 millimeters in a centimeter, 100 centimeters in a meter, 1,000 meters in a kilometer, and so on.

In this section, let's convert 37 grams to kilograms. We would begin the same way as in the section above, writing "37 grams" on our paper.

Shift the decimal point three spaces to the left. Now, find the decimal point in your number of grams. If you're converting a whole number, this won't usually be written, but you can assume it its to the right of the ones place. Move the decimal point three spaces to the left. Each time you move past a number counts as one space. If you run out of numbers to move past, keep moving it, leaving blank spaces.

In our example, the decimal point in 37 grams is to the right of the 7 (i.e., 37 grams is the same as 37.0 grams). If we go one space at a time, moving the decimal point three spaces to the left looks like this:

37.

3.7

.37

._37 — note that we leave an empty space when we run out of numbers.

Add zeroes in any empty spaces. You can't leave empty spaces in your answer, so fill in each one with a zero. You can also put a zero to the left of the decimal place if there aren't any numbers there, but this is optional — it just depends how you like to write your answers.

In our example, we have one empty space between the decimal point and the 3, so we'll fill it in with a zero like this:

.037

Adding the proper label (plus an extra zero to the left of the decimal point for presentation purposes), we get our final answer:

0.037 kilograms

To get back to grams, shift the decimal place back. When you have kilograms, shifting the decimal place three spaces to the right will give you grams again. Fill in any empty spaces with zeroes as normal.

In our example, we can shift the decimal place three spaces to the right like this:

0.037

00.37

003.7

0037. — the zeroes on the left don't matter any more, so we can rewrite this as simply 37 grams.

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Answer: y=4/5x-1.5

Step-by-step explanation: slope intercept form is y=mx+b

m is going to be the slope of the line which in this case is 4/5 (rise over run)

b is going to be where the line intercepts the y-axis, in this case it looks to be at -1.5. Since the y-intercept is in the negatives, we subtract b.

x is an just a variable to be added in for if/when this equation is used.

the two perpendicular segments are:

PN and UR.

Two segments are perpendicular if and only if the angles generated when the segments intersect are all right angles (angles that measure 90°).

And the 90° angles are usually notated with a little square on the vertex.

In the image we can see that the angle at U is a right angle, thus, the segments that pass through that point are perpendicular.

We can conclude that the two perpendicular segments are:

PN and UR.

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Answer:

[tex]\sf 872[/tex]

Step-by-step explanation:

Parentheses

[tex]9 + 3 = 12[/tex]

[tex]=20^2\cdot \:2+6\cdot \:12[/tex]

Exponents

[tex]20^2=400[/tex]

[tex]=400\cdot \:2+6\cdot \:12[/tex]

M/D(Multiply/Div.)

[tex]6\cdot \:12 = 72[/tex]

[tex]=800+72[/tex]

A/S(Add/Sub.)

[tex]800+72=872[/tex]

[tex]\sf Thus,\\= 872[/tex]

The required amount that was borrowed is 7000.

Given that,
Borrowed money for 4 years at 9%.
The total interest paid was 2520.
To determine how much money was borrowed.

Simple interest is defined as the percentage of earnings on the lending for a period of time

Here,
interest  = [principal * rate * time  ] / 100
2520 = [principal * 9* 4] / 100
Principal = 2520 * 100 / 9*4
Principal = 7000
So, the principal amount or initial amount is $7000.

Thus, the required amount that was borrowed is 7000.

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