7. Fuji the woodworker sells cribs. His start-up
costs total $2000. Labor and material for
each crib cost $185. If the formula for his
Cost(C) based on (n) number of cribs is:
C=2000 + 185n , Tell what the rate of change
is and what it tells us about Fuji's expenses.

Answer:

Choice a. [tex]35[/tex]

Step-by-step explanation:

Note that [tex]i=(1,0)[/tex] and [tex]j=(0,1)[/tex], so

[tex]C=2A-B=2(6i-8j)-(-16i+5j)=12i-16j+16i-5j=28i-21j=(28,-21)[/tex]

Now the magnitude of a vector [tex](x,y)[/tex] is [tex]\sqrt{x^2+y^2}[/tex], thus the magnitude of [tex]C[/tex] is

[tex]\sqrt{28^2+(-21)^2}=\sqrt{784+441}=\sqrt{1225}=35[/tex]

Answer:

The least common multiple of 4 and 7 is 28

Answer:

x ≤ 11/6   or   x > 11/3

Step-by-step explanation:

6x - 2 ≤ 9 or 4 + 3x > 15

6x ≤ 11    or  3x > 11

x ≤ 11/6   or   x > 11/3

The given inequality is simplified as x≤11/6 or x>4.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, 6x-2≤9 or 4+3x>15.

Here, 6x-2≤9

Add 2 on both the sides of an inequality, we get

6x≤11

Divide 6 on both the sides of an inequality, we get

x≤11/6

Now, 4+3x>15

Subtract 4 on both the sides of an inequality, we get

3x>12

Divide 3 on both the sides of an inequality, we get

x>4

So, x≤11/6 or x>4

Therefore, the given inequality is simplified as x≤11/6 or x>4.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

Answer:

Step-by-step explanation:

a)

f(0) is just the function f(x) evaluated at 0, meaning we need to plug in 0 to the function.

What piece of this function should we plug 0 in? Well, because 0 is less than 5, plug it into the first piece.

so f(0) = 0 + 4 = 5

b)

By similar reasoning:

f(6) = 8

because 5 <= 6 < 7

Answer:

10n-2

Step-by-step explanation:

12n - 8- 2n + 10 - 4 = (12n-2n)+(-8+10-4)

Simplify.

10n-2

Happy learning!

--Applepi101

Answer:

10n - 2

Step-by-step explanation:

12n-8-2n+10-4

Group all the n together and the other numbers together:

12n-2n-8+10-4

10n-2

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

Explanation:

Let's say we had a circle with radius 5

It's area would be

A = pi*r^2

A = pi*5^2

A = 25pi

Now let's increase this by a factor of 4. We'll multiply the area by 4

new area = 4*(old area) = 4*(25pi) = 100pi

Now, we'll use this area value to find what the radius must be

A = pi*r^2

100pi = pi*r^2

100 = r^2

r^2 = 100

r = sqrt(100)

r = 10

The old radius r = 5 jumps to r = 10 so that the area quadruples.

We see that the radius has doubled. This must also mean the perimeter around the circle, aka circumference, must also have doubled.

C = 2*pi*r = 2*pi*5 = 10pi = old circumference

C = 2*pi*r = 2*pi*10 = 20pi = new circumference

This is directly because r has been doubled

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

Here's one way to think of why this works:

Consider a square of side lengths 3. It's area is 3*3 = 9.

If we double the sides, then we have a 6 by 6 square of area 6*6 = 36.

Note the jump from 9 to 36 is "times 4". This multiplier 4 is from each side doubling and we have 2*2 = 4.

If you were to triple each side, then the area multiplier would be 3*3 = 9

Multiplying each side by k leads to an area multiplier of k^2.

Answer:

b. false

Step-by-step explanation:

when multiplying matrixes the number of columns of the first matrix must be equal as the number of rows of the second matrix, and since here matrix A has 4 columns but matrix B has 5 rows they can't be multiplied

Answer:

0

Step-by-step explanation:

7-7=2x-5x+3x

0=2x-5x+3x

Answer:

answer must be 9

Step-by-step explanation:

6/2×3

3×3

9 ans

Answer: 9

Step-by-step explanation:

( 6/2) = 3

( 1+2) = 3

3*3=9

Answer:

[tex]\boxed {\boxed {\sf 9.8}}[/tex]

Step-by-step explanation:

We are asked to find the distance between two points. We will calculate the distance using the following formula;

[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2[/tex]

In this formula, (x₁ , y₁) and (x₂ , y₂) are the 2 points. We are given the points (4,0) and (0,9). If we match the value and the corresponding variable, we see that:

Substitute the values into the formula.

[tex]{d= \sqrt {(0-4)^2+(9-0)^2[/tex]

Solve inside the parentheses.

[tex]d=\sqrt{(-4)^2+ (9)^2[/tex]

Solve the exponents. Remember that squaring a number is the same as multiplying it by itself.

[tex]d= \sqrt{(16)+(81)[/tex]

Add.

[tex]d= \sqrt{97[/tex]

Take the square root of the number.

[tex]d=9.848857802[/tex]

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 8 in the tenth place.

[tex]d\approx 9.8[/tex]

The distance between the two points (4,0) and (0,9) is approximately 9.8

Answer:

A i dont know i think it is i dont know correct me if im wrong

Answer:

A. latitude

Step-by-step explanation:

The type of imaginary line that runs parallel to the Equator on a map:

A. latitude

Answer: C

Step-by-step explanation:

This is 3 times 10 times 6, not 3 times the sixth power of 10.

Answer:

7

mark me as brainliest please

Step-by-step explanation:

Answer:

D.f(x) has one real zero at 4 because the graph of the function has an intercept at (-4,0).

Answer: Yes it is.

Step-by-step explanation:

Mixed to proper

7/3 = 2 1/3

Pie charts are used to show the relationship between data in a circle. The total expenses of the Estrada family last month are: $2287.5

Given that:

[tex]Clothing = \$366[/tex]

From the Pie chart, 13% of the total expenses were spent on clothing.

This means that

[tex]13\% \times Total = Clothing[/tex]

So, we have:

[tex]13\% \times Total = \$366[/tex]

Divide both sides by 13%

[tex]Total = \$366 \div 16\%[/tex]

[tex]Total = \$2287.5[/tex]

Hence, the total expenses are: $2287.5

Read more about pie charts at;

https://brainly.com/question/11433309

Answer:

[tex]x = \frac{2}{65} [/tex]

Step-by-step explanation:

[tex]19 = - 4 + \frac{2}{5x} + 10[/tex]

[tex]19 = 6 + \frac{2}{5x} [/tex]

[tex] - \frac{2}{5x} = 6 - 19[/tex]

[tex] - \frac{2}{5x} = - 13[/tex]

[tex]2 = 65x[/tex]

[tex]x = \frac{2}{65} [/tex]

Answer:

x= 35

Step-by-step explanation:

STV°= WTV° + STW°

STV°=90

WTV°=x

STW°=55

subtitute in above:

90= x + 55

x= 90-55

x= 35

Answer:

its very blury im sooooo sorry

Step-by-step explanation:

Answer :

RA , TR , and HP

................

x = smaller angle

x+36 = larger angle, since its 36 degrees more than the smaller angle

The two angles x and x+36 must add to 180 if they are to be supplementary (aka form a straight line)

So this means we can say the following:

(smaller)+(larger) = 180

(x) + (x+36) = 180

2x+36 = 180

2x = 180-36

2x = 144

x = 144/2

x = 72 is the smaller angle

x+36 = 72+36 = 108 is the larger angle

As a check:

smaller+larger = 72+108 = 180

which shows they are supplementary and it confirms our answers

Step-by-step explanation:

let the smaller angle be x

then the measure of larger angle will be x+36

x+x+36=180°(being supplementary angle)

2x+36=180°

2x=180°-36

2x=144°

x=144°/2

x=72°

now,

the larger angle x+36 = 72+36=108°

Answer: 15:13

Step-by-step explanation: 7/7=3500

Answer:

It is 9n - 7p + 5q

Step-by-step explanation:

Perimeter formular:

[tex]perimeter = (side + side + side)[/tex]

substitute:

[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]

group like terms together:

[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]

Answer:

the answer is 20

Step-by-step explanation:

gtttttfftuuu

9514 1404 393

Answer:

  119°

Step-by-step explanation:

Angles DHG and LHI are vertical angles, so have the same measure.

  angle LHI = 119°

Answer:

1.0

2.0

3.2

4.3

Step-by-step explanation:

1.3x+18-3x+18

2.-2x+2-2+2x

3.x-x+4-2

4.-2x-4+5+2x

Answer:

.......

Answer:

x=3

Step-by-step explanation:

(6x+2 )+(7x+4) =45

13x+6=45

13x=45–6

13x= 39

x=39/13

x=3

I hope I helped you^_^