What's 3.7 in a fraction

Final answer:

(m-p)(x) represents the subtraction of function p(x) from m(x). Assuming p(x) is -4x + 2, (m-p)(x) simplifies to 7x - 4.

Explanation:

To calculate (m-p)(x), we need to subtract the function p(x) from the function m(x).

Given m(x) = 3x - 2 and noting there seems to be an error in p(x), as it should likely be a function of x, let's assume the student meant p(x) = -4x + 2 based on the pattern of the provided information.

The subtraction of these two functions is performed as follows:

m(x) - p(x) = (3x - 2) - (-4x + 2)

Simplify by distributing the negative sign through the second polynomial:

(3x - 2) + 4x - 2 = 3x + 4x - 2 - 2

Combine like terms:

7x - 4

So, (m-p)(x) = 7x - 4.

Answer:

the answer is $151.56

Step-by-step explanation:

our formula of interest is I = PxRxT

P (principal) = 421

R (rate) = 4%  (we have to turn it into a decimal which is 0.04)

T (time) = 9 years

so :

I = 421 x 0.04 x 9

I = 151.56

The total interest paid will be $151.56.

To find out how much interest you will pay on a loan of $421 over nine years at an annual interest rate of 4%, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Where the Principal amount is $421, the Rate is 4% (or 0.04 when converted to a decimal), and the Time is 9 years.

Answer:

RM  ≈ 6.08 ( to 2 dec. places )

Step-by-step explanation:

to calculate the distance use the distance formula

• d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = R(- 2, 3) and (x₂, y₂ ) = M(4, 2)

d = [tex]\sqrt{(4+2)^2+(2-3)^2}[/tex] = [tex]\sqrt{36+1}[/tex] = [tex]\sqrt{37}[/tex] ≈ 6.08

Answer:

5/8=0.625

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

f(x) = 4x + 1

f(3) = 4(3) + 1

     = 12 + 1

     = 13

Answer:

f(-3) = 27

Step-by-step explanation:

f(x) = (-x)^3

We want the value when x =-3

Substitute this in

f(-3) = (--3)^3

f(-3) = 3^3

f(-3) = 27

Answer:

64

Step-by-step explanation:

20 x 3.2=64

16/5=3.2

replacing the 3 1/5 with 3.2 making it easier to do the math

Answer:

The answer is 64

Step-by-step explanation:

What to do is this.

Turn 3 1/5 into a improper fraction and it will look like this 16/5

Now do 20/1 times 16/5 and you will get 64

Answer: The first vendor AKA the 8 ears for $2.56

Step-by-step explanation:

You have to take the 8 and figure out how much you are being charged for each 2.56 divided by 8 is .32, so each ear is .32 cents per ear, and the second vendor is 4.32 divided by 12 which is .36, so each ear is .36 cents. so technically the first vendor has cheaper corn.

Answer: 8

Step-by-step explanation:

Answer:

[tex]y=39\degree[/tex]

Step-by-step explanation:

The given triangle is a right angle triangle .

The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.

The value of y can be calculated using the tangent ratio.

[tex] \tan(y)=\frac{8}{10}[/tex]

We solve for y to get,

[tex]y=arctan(\frac{4}{5})[/tex]

We evaluate to obtain,

[tex]y=38.66[/tex]

[tex]y=39\degree[/tex] to the nearest degree

Answer:

Step-by-step explanation:

She paid $40 each week, hence the "w" next to 40. She then paid $12.50 so both $40w and $12.50 would equal to $492.50. So she paid $492.50 in all for the class.

Now the w would equal, 12. Multiply 40 x 12 and it'd equal 480. 

Then you add the additional $12.50 she paid for the registration & it'd equal to $492.50.

Hope That Helps!

To solve for w in the equation 40w + 12.50 = 492.50, subtract 12.50 from both sides of the equation and then divide both sides by 40.

To solve for w, we need to isolate it on one side of the equation. We can do this by subtracting 12.50 from both sides of the equation:

40w + 12.50 - 12.50 = 492.50 - 12.50

This simplifies to:

40w = 480

Next, divide both sides of the equation by 40:

w = 480 / 40

w = 12

Therefore, the equation represents a situation where w is equal to 12.

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Answer:

x=2, y=2

(2,2)

Step-by-step explanation:

To solve by elimination, we need to have on variable an its coefficient be the opposite of the other

I will multiply the second equation by 2 to make 2x  become 4x to eliminate the x variable

2(2x+4y) = 12*2

4x+8y = 24

Now add the first equation with the modified second equation

-4x - 2y = -12

4x   +8y =24

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

       6y   = 12

Divide each side by 6

6y/6 = 12/6

y =2

Now we need to find x

2x+4y = 12

Substitute in y=2

2*x + 4*2 = 12

2x+8 = 12

Subtract 8 from each side

2x +8-8 = 12-8

2x=4

Divide each side by 2

2x/2 =4/2

x=2

Answer:

12.5

Step-by-step explanation:

first you do the one in the 40-15 then you add 50 the you divide by 6

Answer: [tex]54\frac{1}{6}[/tex]

Step-by-step explanation:

Order of Operations (PEMDAS) states that we need to do the parenthesis first then division and then addition.

                    50 + (40 - 15) ÷ 6

parenthesis: 50 +     25      ÷ 6

division:        50 +           [tex]4\frac{1}{6}[/tex]

addition:           [tex]54\frac{1}{6}[/tex]

Answer:

B.$941.11

Hope this helped

Step-by-step explanation:

Answer:

a(5) = 7

Step-by-step explanation:

Look at 5 on the n line, the horizontal line look up to the dot on that line.  Whats it value on the vertical line a(n)?  7 so a(5) = 7

The solution to the basic vector problems are given as,
1)  (5, -11), option C is correct.
2) . No, the two vectors have different initial points, option B is correct.

Vector is defined as the quantities that have both magnitude and direction is called a vector quantity and the nature of the quantity is called a vector.  

Here,
1)
initial point (5,3) and a terminal point (10,-8),
Vector = 10i -8j - 5i - 3j
Vector = 5i - 11j or [5, -11]

2)
Vector v with an initial point of (0,0) and a terminal point of (50, 120), is not equal to vector u with an initial point of (50, 120) and a terminal point of (0,0).

Thus, the solution to the basic vector problems are given as,
1)  (5, -11), option C is correct.
2) . No, the two vectors have different initial points, option B is correct.

Learn more about vectors here,
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Final answer:

To find the component form for vector v, subtract the initial point from the terminal point. The answer is option C. The vectors in the second question have different initial points, so they are not equal.

Explanation:

To find the component form for vector v, we need to subtract the initial point from the terminal point. Subtracting the x-coordinates and y-coordinates separately, we get (10 - 5, -8 - 3), which simplifies to (5, -11). Therefore, the component form for vector v is option C, (5, -11).

For the second question, the vectors have the same initial points but different terminal points, so they cannot be equal. Therefore, the correct choice is option B, No, the two vectors have different initial points.

Answer:

The first year Sam invested $2,000. The third year sally invested $1,900.

Step-by-step explanation:

Let $x be the amount of money Sam invested the first year. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year, then the second year he invested

[tex]\$\left(\dfrac{5}{2}x-2,000\right).[/tex]

The third year, he invested $1,000 more than 1/5 of the amount he invested the first year, then the third year he invested

[tex]\$\left(\dfrac{1}{5}x+1,000\right).[/tex]

During three years Sam invested

[tex]\$\left(x+\dfrac{5}{2}x-2,000+\dfrac{1}{5}x+1,000\right)=\$\left(\dfrac{37}{10}x-1,000\right).[/tex]

The first year, Sally invested $1,000 less than 3/2 times the amount Sam invested the first year, then the first year she invested

[tex]\$\left(\dfrac{3}{2}x-1,000\right).[/tex]

The second year, she invested $1,500 less than 2 times the amount Sam invested the first year, then the second year she invested

[tex]\$(2x-1,500).[/tex]

The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year, then the third year she invested

[tex]\$\left(\dfrac{1}{4}x+1,400\right).[/tex]

During three years Sally invested

[tex]\$\left(\dfrac{3}{2}x-1,000+2x-1,500+\dfrac{1}{4}x+1,400\right)=\$\left(\dfrac{15}{4}x-1,100\right).[/tex]

If Sam and Sally invested the same total amount at the end of three years, then

[tex]\dfrac{37}{10}x-1,000=\dfrac{15}{4}x-1,100,\\ \\\dfrac{37}{10}x-\dfrac{15}{4}x=1,000-1,100,\\ \\-\dfrac{1}{20}x=-100,\\ \\x=\$2,000.[/tex]

Thus,

[tex]\$\left(\dfrac{1}{4}\cdot 2,000+1,400\right)=\$1,900.[/tex]

Answer:

The two angles are each 31 degrees.

Step-by-step explanation:

Find x

3x + 10

5x - 4

By setting 3x+10 equal to 5x-4, we find x=7. Substituting this value back into the expressions for both angles 1 and 2, we find that both angles measure 31 degrees, confirming that our solution is correct.

The question asks you to solve for the degree measure of both angles 1 and 2, which are represented by the expressions (3x+10)° and (5x-4)° respectively. Because these angles are vertical, we know that they are congruent, or equal in measure.

Therefore, we can form an equation by setting the two expressions equal to each other and then solving for x:

(3x+10) = (5x-4)

Subtracting 3x from both sides yields:

10 = 2x - 4

Then, adding 4 to both sides, we get 14 = 2x. Dividing both sides by 2, we find x = 7.

To check our work, we substitute x = 7 into the original equations for both angle 1 and angle 2:

Angle 1: 3(7) + 10 = 31°

Angle 2: 5(7) - 4 = 31°

As you can see, the degree measures are the same, which verifies that we solved for the variable correctly.

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Answer:

52.94  miles per unit

Step-by-step explanation:

The unit rate is found by dividing miles per time

90 miles /1.7 unit

52.94117647  miles per unit

Answer:

x + y = 1

Step-by-step explanation:

If the two equations are the same, then it can be shown by this:

6x + 8 = -4x - 2

We need to isolate the x values, so we need to move the -4x over to the other side making it a +4x:

6x + 4x + 8 = -2

Next, move the +8 over to the other side making it a -8:

6x + 4x = -2 - 8

10x = -10

x = -1

So now we can plug this value into the first equation:

6(-1) + 8 = y

-6 + 8 = y

y = 2

x + y = -1 + 2 = 1

So x + y = 1

Answer:

[tex]log_n(m)= \frac{4}{3}[/tex]

Step-by-step explanation:

N^4/3=m

[tex]n^{4/3}=m[/tex]

We need to write the equation in logarithmic form

we take log on both sides

[tex]log(n^{4/3})=log(m)[/tex]

We apply log property to remove the exponent 4/3

As per log property we can move exponent before log

log(a^m) = m log (a)

So our equation becomes

[tex]\frac{4}{3}log(n)=log(m)[/tex]

Now we divide both sides by log(n)

[tex]\frac{4}{3} =\frac{log(m)}{log(n)}[/tex]

Now we apply change of base formula

log(a)/ log(b)= log_b(a)

[tex]\frac{4}{3} =log_n(m)[/tex]

So log form is

[tex]log_n(m)= \frac{4}{3}[/tex]

To convert [tex]N^{4/3}[/tex] = m to logarithmic form, identify the base (N), the exponent (4/3), and the result (m). The logarithmic form is [tex]log_N(m)[/tex] = 4/3.

To convert the given equation [tex]N^{4/3}[/tex] = m into logarithmic form, we'll follow these steps:

The general logarithmic form of the equation aᵇ = c is [tex]log_a(c)[/tex] = b.

Applying this to our equation:

Hence, the logarithmic form of the equation [tex]N^{4/3}[/tex] = m is:

Answer:

$105.48

Step-by-step explanation:

Multiply 131.85 by 0.2 to get 20% of 131.85.

You will get 26.37.

Since it is 4 people, multiply by 4.

You will get $105.48.

Answer: $105.48

Step-by-step explanation: If the check is $131.85, all you have to do is multiply that by .2 and you get $26.37, but since there are four friends you would have to multiply that by 4 to get the result $105.48.

We must first open the parenthesis. We get 15*7+15y, or 105+15y. We can now add 12 to 105 which would be 117. Now we have -4-5y+117+15y. With this we can move the -4 to 117 which is 113 and the -5y to 15y which is 10y. So we got 113+10y as our answer.

Hope this helps. <3

If PA = PB ,then P is located on perpendicular bisector of AB.

Look at the picture.

Answer:25%

Step-by-step explanation:

(10 x 100) - 800= 200

200/800 x 100

percantage profit= 25%

Answer:

80%

Step-by-step explanation:

800 ÷ 100 = 8$ → purchased each

8$ to 10$ = 80%

Answer:

A jagged curve

Step-by-step explanation:

Your always going to burn calories but the rate will always change and how many based on what you do will always change so it is never a constant slope.

Answer:

a jagged curve

Step-by-step explanation:

The number of calories you burn varies throughout the day, increasing and decreasing. A jagged curve represents increases and decreases over time.

Answer:

Multiply each equation by the coefficient of y in the other one.  

Step-by-step explanation:

(1)  6x + 5y = 2

(2) 4x + 2y = 8

Multiply each equation by the coefficient of y in the other one.

Multiply (1) by 2 and (2) by 5.

(3)   12x + 10y =   4

(4) 20 x + 10y = 40     Subtract (3) from (2)

                8x = 36      Solve for x

                  x = 9/2

Answer:

Subtract 5 times the first equation from 2 times the second equation

Step-by-step explanation:

2(6x + 5y = 2)

5(4x + 2y = 8)

12x + 10y = 4

20x + 10y = 40

Subtracting the second equation from first gives:

−8x = −36

x =  

−36

−8

x =  

9

2

Because AC lies opposite the angle of the smaller measure than the angle opposite FH. The sides at these angles have the same length.

Answer:

1. C

2. B

3. B

4. C

5. A

Step-by-step explanation:

1. 2/5 times 3/7 equals 6/35 and cannot be simplified

2. 9/10 times 5/7 equals 45/70 or 9/14

3. 1/3 times 1/2 equals 1/6

4. 3/4 times 1/2 equals 3/8

5. 2/3 of 7/8 equals 7/12