A fabric company can produce 10,200 yards of fabric per year currently. The company's goal is to increase the amount of
fabric it can produce by 450 yards each year. If the company meets its goal, how many total yards of fabric will it have
produced after 9 years?

Answer:

The measure of angle 7 is 47°

The value of x = 69

Step-by-step explanation:

(a) The measure of angle 7 is also 47° { therefore angle 5 angle 7 are vertically opposite angles so they are equal }

(b) if the angle 6 is represented by (2x-5) so the equation will be (2x-5) + angle 5 = 180° { linear pair}

(c)

=> 2x-5+47 = 180

=> 2x + 42 = 180

=> 2x = 180 -42

=> 2x = 138

=> x = 138/2

=> x = 69

Answer:

See below ↓↓↓

Step-by-step explanation:

(a) ∠7 = ∠5 (vertically opposite angles)

(b) ∠5 and ∠6 form a line, so their sum is equal to 180°, which is the angle of a straight line. Therefore, our equation :

(c) Solving for x :

Answer:

Both probability and statistics are considered to be part of algebra due to the fact that they both deal with equations and variables. Also last semester I had Algebra II with statistics and we dealt with probability & statistics.

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer:

Both probability and statistics can be considered to be part of algebra as they deal with equations and variables.

Probability and statistics are related areas of mathematics that concern themselves with analyzing the relative frequency of events.

Step-by-step explanation:

Answer:

b= -18

Step-by-step explanation:

See attached image.

Formulate the equation for the line by calculation the slope and adding the y-intercept, as shown.  The y-intercept if the value of y when x = 0.  The equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept.  Note that this b is not the same b in the question (8,b).  The b in the question may be calculated once the equation is found:  y = -3x+6, where -3 is the slope and 6 is the y-intercept (0,6).

Use x = 8 in this equation.  y = -3(8)+6,  y = -18

The point is (8,-18), so b is -18.

9000 ways to create 4-digit passwords using digits from 0 to 9 that the first character can't be 0, but not using the digit 0 as the first character.

We have to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Here we have 4 selections.

Now let's find the number of options for each of these:

First character = 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Second character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Third character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Fourth character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The total number of different combinations is just the product of these 4 numbers:

C = 9×10×10×10 = 9,000

So, we can conclude that the correct option is D.

If you want to learn more about combinations visit here;

brainly.com/question/2280026

Answer:

d

Step-by-step explanation:

trust

The sequence 3, 1,1/3 is a geometric sequence

The 7th term of the sequence is 1/243

The sequence is given as:

3, 1,1/3

The above sequence is a geometric sequence with the following parameters:

The nth term is then calculated as:

Tn = ar^(n-1)

So, the 7th term is:

T7 = ar^6

Substitute known values

T7 = 3 * (1/3)^6

This gives

T7 = 1/3^5

Evaluate

T7 = 1/243

Hence, the 7th term of the sequence is 1/243

Read more about geometric sequence at:

https://brainly.com/question/24643676

An expression has numbers, variables, and mathematical operations. Patrick's net worth is represented by the expression $9,500-$1,900.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the value of the assets with Patrick is $9,500, while the liabilities are $1,900. Thus, his net worth will be the difference between his assets and his liabilities.

Thus, Patrick's net worth of Patrick can be written as,

[tex]\rm Net\ worth = Assets-Liabilities[/tex]

                [tex]= \$9,500-\$1,900[/tex]

Thus, Patrick's net worth is represented by the expression $9,500-$1,900.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

y < 1/2 x - 3

Step-by-step explanation:

The line crosses the y-axis (up and down numbered axis) at -3. That's the - 3 in the equation. If you look very carefully, closely, you can see that the line, from there, goes UP1 and OVER2 to get to the next point (and the next point and the next point) This is the slope, it goes in front of the x, here it is UP1 and OVER2 and is written 1/2.

The line is dashed so the symbol is < "less than" WITHOUT the line mark underneath it; also because the shading is BELOW the dashed line we use < "less than" and not > "greater than"

The true statements from the given information are:

From the two-way frequency table of the dataset, we have the following highlights

From the above highlight, we can conclude that options (b) and (c) are correct

Learn more about two-way frequency table on:

https://brainly.com/question/16148316

Answer:

B, C, E on edge2022

Step-by-step explanation:

Answer:

C'(-3, -3)

D'(-2, 1)

E'(-1, 0)

F'(0, -2)

Step-by-step explanation:

Remember that coordinates are written in the format (x, y).

To solve this problem, add 2 to x and subtract 2 from y for each coordinate. Going down the list and applying this to all of them, you get:

C = (-5, -1) -> (-3, -3)

D = (-4, 3) -> (-2, 1)

E = (-3, 2) -> (-1, 0)

F = (-2, 0) -> (0, -2)

Answer:

554 N

Step-by-step explanation:

We're looking for the magnitude of the force - angles don't matter.

We need to resolve the two forces.

As you can see in the attached drawing, this basically just becomes Pythagoras.

[tex] {f}^{2} = {355}^{2} + {425}^{2}[/tex]

[tex]f = \sqrt{ {355}^{2} + {425}^{2} } [/tex]

[tex]f = 553.76[/tex]

The two perfect square trinomial perfect are x^2 − 4x + 4 and x^2 + 10x + 25.

A mathematical expression with three terms or three monomials is called a trinomial.

Polynomials having only three terms are known as trinomials.

A perfect square trinomial is an algebraic expression that takes the  form

ax^2 + bx + c,

A perfect square trinomial is gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).

Therefore, the two perfect square trinomial perfect are x^2 − 4x + 4 and

x^2 + 10x + 25.

To learn more about the trinomials refer to the link;

https://brainly.in/question/8498839

Answer: Options C and D are correct

Step-by-step explanation: i took the test

Answer:

C. 1,768

Step-by-step explanation:

162.8 times 60 equals 9,768

9,768 minus 1,768 is 8000

male the question little more clear

Answer:

6/5 or 1 1/5

Edit:

soo

[tex]4\sqrt{5} + 2\sqrt{5}[/tex] = [tex]6\sqrt{5}[/tex]

since they both are being multipled to the square root of 5, you can just add them (i think)

Step-by-step explanation:

6 times the square root of 5

you add 4 and 2

C = 81.68 to 2 decimal place

C= pi x diameter

= pi x 26

= 26 pi

= 81.6814.....

13 x 2 =26

Hope this helps!

Answer:

-4 and 4

Step-by-step explanation:

You count between the zeros as when you jump on a number line or just don't count the zero

-4, -3, -2 ,-1, 0, 1, 2 ,3, 4

Hope this helps

The two numbers are -9 & 9

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

Given here: Two opposite numbers who have a difference of 18

Thus the two numbers must be 9 units from either side of the origin.

Therefore the only possible number is -9 & 9

Hence, The two numbers are -9 & 9

Learn more about the number line here:

https://brainly.com/question/13425491

#SPJ2

Answer:7.0711

Step-by-step explanation:

Incorrect:

A-Reflection across line AC

B-Reflection across line BD

C-vertical translation

Correct:

D-Rotation about the center of the square

Thank you so much Please consider brainliest! <3

Answer:

the answer is c sir

pls brainly me

thx and im blessed to

answer this thx you

The scatter plot that shows the cost of long distance phone call is an illustration of a linear regression

See attachment for the line of best fit

From the attached graph, the line passes through the points:

(x,y) = (0,0) and (40,4)

The equation is then calculated using:

y = y2/y1 * x

This gives

y = 4/40 * x

Evaluate

y = 0.1x

This means that x = 120

So, we have:

y = 0.1 * 120

y = 12

Hence, the predicted cost of long distance call of 120 minutes is $12

The answer in part C is calculated by substituting 120 for x in  the equation of the line of best fit

Read more about scatter plots at:

https://brainly.com/question/6592115

Answer:

4 servings

Step-by-step explanation:

You do 2 2/3 divided by 2/3. First you change 2 2/3 to 8/3. Now, you change 2/3 to it's reciprocal; 3/2. Now you change division to multiplication and find your equation; 8/3 x 3/2. You cancel out both the threes, and find 8/2, or simplified, 4.

Answer:

4 servings

write 2/3x4, put 1 under 4

2x4=8

3x1=3

8/3

8/3 simplified is 2 2/3

Step-by-step explanation:

Answer:

  negative

Step-by-step explanation:

The sum of negative numbers is always negative.

Answer:

if you use math    way it gives you simple answers im in 11th grade math and it works wonders also you dont get a GPA untill you reach highschool so tbh math in middleschool and junior high doesnt rlly count yk and there is also a no child left behind act in 42 states so you wont have to repeat the grade unless your parents want you to repeat the grade but one class wont make you reapeat the grade

Step-by-step explanation:

Answer:

Hello, I am sure your aunt is already proud of you! If you need help I am willing to do so. Do not try to overwork yourself math is hard. Just do your best and you will succeed. Do worry about your C anyways because colleges normally do not look at grades from 8th. It usually starts in the 9th grade. Just keep doing your best and keep your head high. You will do great things!

Step-by-step explanation:

The rate of change of the area as a function of time is:

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

Remember that for a circle of radius R, the area is:

A = 3.14*R^2

Now, if the radius increases at a rate of 4 ft/min, then we can rewrite R as:

R(t) = R₀ + 4ft/min*t

Where t is the time in minutes, and R₀ is the initial radius.

So the area function is:

A(t) = 3.14*(R₀ + 4ft/min*t)^2

The rate of change is given by the differentiation with respect to t, it is:

A'(t) = 2*3.14*(R₀ + 4ft/min*t)*(4ft/min)

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

The rate at which the area increases, as a function of time, is given by:

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

If you want to learn more about rates of change, you can read:

https://brainly.com/question/8728504

Answer:

if a box contains 20 balls in which all are white then the probability of selecting non white is 0

Answer:

y=3/5x-7

Step-by-step explanation:

hope this helps

Answer:

width is 5, length is 8

Answer: the person ab0ve me ISDBig. BrainnnN

Step-by-step explanation:

Answer:

Value = 5 + 2n, where in is the sequence number, starting with n = 0.

Step-by-step explanation:

The sequence is predicted by adding 2 for each step.  The formula for the number at point n is given by 5+2n, starting with n = 0:

n  Value

0      5

1       7

2      9

3     11

4     13

5     15

6     17

7     19

8    21

9    23

10   25

Answer:

53°

Step-by-step explanation:

Hypotenuse is the longest side and it is opposite to angle 90°

[tex]\sf Sin \ B = \dfrac{Opposite \ side \ of \ angle \ B}{hypotenuse}\\\\[/tex]

         [tex]= \dfrac{4}{5}\\\\=0.8[/tex]

   [tex]B = Sin^{-1} \ (0.8)\\[/tex]

B = 53°