6) The equation given is written in standard form of writing the equation of a line y = mx + b
Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line
7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.
From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)
8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0
28m + 100 > 0
28m > -100
m > -100/28
m > --25/7
The domain is m > -25/7 while the range is c(m) > 0
9) The comparing the equation with y = xm+ b
where x is the slope
28m = mx
x = 28
This shows that the rate of change of cost per member is $28
The y-intercept is the point where the number of months is 0
If m = 0
c(0) = 28(0) + 100
c(0) = 100
The initial cost of membership in the first month is $100
10) Given the formula c(m) = 28m + 100
For a whole year, m = 12
c(12) = 28(12) + 100
c(12) = 336 + 100
c(12) = 436
Hence the membership will cost $436 for the whole year
Learn more here: https://brainly.com/question/17003809
For each ordered pair determine whether it is a solution to x=1
Is t = –2 a solution to the inequality below?
–1 ≤
t
yes or no
Please help!! will mark branliest
6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)
(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=
(b) How high will the ball bounce on the 8th bounce?
h=
(c) How many bounces before the ball rises no higher than an inch?
Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
[tex]h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'[/tex]
b. After 8 bounces we can apply the previous formula with n = 8 to get
[tex]h(8)=(\frac{17}{20})^8\times 72' = 19.62'[/tex]
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous [tex]h(n)[/tex]increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
[tex]1>(\frac{17}{20})^n\times 72[/tex] Let's first isolate the fraction by dividing by 72.
[tex](\frac{17}{20})^n<\frac1{72}[/tex] Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
[tex]ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72[/tex]. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
[tex]-(0.16)n < - 4.27 \rightarrow n>26.31[/tex] Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
factor -24a - 16b + 40
Answer:
=8(−3a−2b+5)
Step-by-step explanation:
Rewrite the 40 as 5*8.
Rewrite -16 as 2*8
Rewrite -24 as 3*8
= 3* 8a+2*8b+5*8
8(−3a−2b+5)
Work out the circumference of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
10 cm.
Answer:
62.84
Step-by-step explanation:
pie=3.142
c=pie * diameter
r=10cm
d=2r
d=2(10)=20cm
c=3.142 * 20
c=62.84
Step-by-step explanation:
Formula for the Circumference of a circle = 2πr
C = 2πr
C = (2 * 3.142) * 10
C = 6.284 * 10
C = 62.84cm
20x29 devided by 9+20=?
help
Answer:
20
Step-by-step explanation:
[tex] \frac{20 \times 29}{29} = 20[/tex]
Answer:
20X29 devided by 9+20=84.4444444444
Draw a circle. Shade five sixths of it. What percent circle is not shaded?
Find x from this equation 7x-5=10-3x
Answer:
x=1.5
Step-by-step explanation:
7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5
ok done. Thank to me :>
help me brain pt Part 2
Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST
Answer:
Y=2x- 5
-----
2
Step-by-step explanation:
40 pts & Brainliest to first Correct. PLZ HELP ASAP
Answer: [tex]16x^4y^2a^6[/tex]
Step-by-step explanation:
just apply to the power of 2 to every term
-4 times -4 is 16
x^2 to power of 2 is 2 times 2 so x^4
y^2 is y^2
a^3 to power of 2 is 3 x 2 = 6 so a^6
16x^4y^2a^6
Answer:
16x^4y^2a^6
Step-by-step explanation:
Do this step by step
16x^4y^2a^6
Please give brainliest!
2. Find the value of x. Give your answer in
simplest radical form.
20
16
Answer:
12
Step-by-step explanation:
The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12
x=12
Someone help mah
A die was rolled six times. The rolls were 1. 2. 3.3.4. and 5. What is the mean deviation for this data?
A) 3/5
B) 1
C) 2
D) 6
Answer:
3
Step-by-step explanation:
1+2+3+3+4+5
6
=18 =3
6
=3
what is the current produced by a 9-v battery flowing through a resistance of 150 ω
Answer:
Step-by-step explanation:
A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".
Write the explicit formula for
-1,-3,-9,-27,-81...
Answer:
[tex]- \frac{1}{3} * 3^n[/tex]
Step-by-step explanation:
This is a geometric sequence/progression
Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]
Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],
and [tex]r = 3[/tex]
[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]
[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]
If OQ and RT are parallel lines and mZRSP = 55°, what is mZQPS?
Answer:
55 degrees
Step-by-step explanation:
Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.
So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.
Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational denominator
What is the median of 8,19,36,46,56
Answer:
median = 36
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
8 19 36 46 56
↑ middle value
median = 36
help meeeeeee.....!!!!
I WILL MARK BRAINIEST!!!
Answer:
X = 35/8
Y = -5
3g + 4y - 8 + 2t + 5
Answer: 3g + 4y - 13 + 2t
Step-by-step explanation:
[tex]3g + 4y - 8 + 2t + 5 \\ 3g + 4y + 2t - 8 - 5 \\ = 3g + 4y + 2t - 3[/tex]
what’s the answer to this
Answer:
Step-by-step explanation:
B because did the same exact test
9. The number of sprouts that Bill, Harvey and Ruth eat is in the ratio 3: 2:5
Bill and Ruth eat 24 sprouts between them.
How many sprouts are eaten altogether?
Please help
Answer: 9:6:15
Step-by-step explanation:
The ratio is Bill : Harvey : Ruth
We are told that bill and ruth both eat 24 sprouts together. The ratio for bill and Ruth would be 3:5
Add the ratios together to get 8
Then divide the amount (24) by 8
This gives you 3. Then times all he numbers in the ratio by 3 to get the answer ; 9 : 6 : 15
Find the slope of the line graphed below. 21 points!
Answer:
The answer is 1.5
Step-by-step explanation
First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!
What is theValue of x ?
Answer:
10
Step-by-step explanation:
x is 10
How many football fields are 1.4 billion acres
Answer:
67760000000
Step-by-step explanation:
i need help math hard
Answer:
15°
Step-by-step explanation:
write an equation of the line passing through (2,-3) and is parallel to the line y=-2x-3. I need it done fast 40 points
Answer:
y = -2x + 1
Step-by-step explanation:
A parallel line has the same slope but different y-intercept.
Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.
Then make it from point slope form to slope intercept.
Hope this helps you. :)
Please help !!!!!!
Carl is looking for tickets to a concert. Last week he found them for $35.00 each ticket. This week the price is $54.00 for each ticket. Did the price increase or decrease? What was the percent change in price? (Show all of your work)
Answer:
See Below
Step-by-step explanation:
Lets note some facts,
Last weeks price for tickets: $35
This weeks price: $54
If you were to ask if these numbers increased or decreased, the numbers increased.
It increased by 19%, for as 19 dollars.
Hope this helps!
Please help if it's right I'll give brainliest
Answer:
Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70
so angle BXC is 70 degrees.
Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class
Answer: C
Step-by-step explanation:
i took the test