Answer:
(a) Independent variable
(b) The constant factor is 12
Step-by-step explanation:
Given
[tex]m(c) = 12c + 80[/tex]
c = campers
m = total cost
Solving (a) What type of variable is the number of campers (c)
The total cost (m) is dependent on the number of campers (c) for its own value.
In other words, if c changes from 5 to say 7, the value of m will also change.
This implies that the number of campers is an Independent variable
Solving (b): Constant factor
This in other words means, rate of change (or slope)
A linear function is:
[tex]y = ax + b[/tex]
Where a represents the slope
By comparison with: [tex]m(c) = 12c + 80[/tex]
Hence, the constant factor is 12
Answer:
dependent, changes by a constant factor per camper.
Step-by-step explanation:
You have $400,000 saved for retirement. Your account earns 5% interest. How much will you be able to pull
out each month, if you want to be able to take withdrawals for 25 years?
Answer:
$4,515.14
Step-by-step explanation:
First we need to get the amount after 25 years on $400,000 at 5% interest
Using the compound interest formula
A = P(1+r)^n
A = 400,000(1+0.05)^25
A = 400,000(1.05)^25
A = 400,000(3.3864)
A = $1,354,541.98
Since 25years = (25*12)months
25 years = 300months
Amount to be able to pull out each month = $1,354,541.98/300
Amount to be able to pull out each month = $4,515.14
Hence you will be able to pull out $4,515.14 each month
Which inequality is represented by this graph?
Answer:
number 1
Step-by-step explanation:
PLEASE HELP ! due in few minutes !
Answer:
A
Step-by-step explanation:
the x values are the same so there is no increase or decrease in slope. therefore the slope is 0
One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)
Answer:
Step-by-step explanation:
1 acre = 4,840 yd²
1 acre = 43,560 ft²
4,840 yd² = 43,560 ft²
1 yd² = 43,560/4,840 ft² = 9 ft²
What is the circumference of the circle?
Answer:
c=40.192
Step-by-step explanation:
c=2pir
c=2*pi*6.4
c=12.8pi
c=12.8*
c=40.192
pls helpp !!! ASAP i’ll give you the brainlest answer ONLY if the answer is correct!! BUT PLS HELP ME outt last minute
Answer:
10 is the right answer
Step-by-step explanation:
please mark me as brainliest answer
I need an answer now please quick and easy
A motorist takes 5 hours
to travel & 300km, how
Long will it take to bravel
720 km at sume
average Speed?
Answer:
12 hours.
Step-by-step explanation:
A motorist takes 5 hours to travel 300km
This means that his velocity, in km per hour, is given by:
v = 300/5 = 60 km/h
How long will it take to travel 720 km at same average speed?
720 km, 60 an hour. So
720/60 = 12
It will take 12 hours.
I will give you b if your answer is correct I only mark first answer so please help me
Answer:
b
Step-by-step explanation:
Emma noticed that the new admission fee for the zoo is 50% more than last year's fee. She wrote this expression to represent the new admission fee, where f represents last year's fee. f + (0.50 x f) Which of the following expressions shows another way Emma could have represented the new admission fee? A 1.5f B) 150f C) f+1.5 D) f+ 150
Answer:
A. 1.5F
................
1 of 8
© An object has a mass of 240 kg and a volume of 8 m3.
Find the density of the object in kg/m²
o
kg/m3
Answer: 30 kg/m³
Step-by-step explanation: density = mass / volume
Density is 240 kg / 8 m³
What is the range for c=6t+8
Answer:
is this statistics? i will change my answer once u explain to me thank you.
Step-by-step explanation:
Answer:
Its infinite
Step-by-step explanation:
2. Raj buys a terrarium that is in the shape of a triangular prism. The dimensions of the
terrarium are shown below.
o 3 ) –
O 2 (3 (0()) + 3 (5. 10) = 174
S in
5 in
4 in
10 in
6 in
(6) (4)+ (5.10)+ 2 (6 - 10) 122
Raj knows that every triangular prism is made up of two triangular sides and three
rectangular sides. Which equation represents the total surface area, in square inches,
of the terrarium?
O
(6 + 5 + 5)(10)+2 (3 (019)
CLEAR ALL
Help with this DONT know the answer DONT answer
Answer:
c 12/3.95 = 9/x is the answer.
What is 5+5+5+5+5+5+5+5+5+5+5+5+5
Answer:
65
Step-by-step explanation:
13x5 = 65
Answer:
The answer is 65 lol
Step-by-step explanation:
Hopefully this helps
Which of the following best describes how to solve
2x+3 = 2x + 37
Answer: The first option.
Step-by-step explanation:
If you square you get [tex]2x+3=2x+9[/tex]
x=0
PLZ I NEED HELP ANSWER QUICK PLZ
Answer:
wut the actual fu q docu FM HD so
An encyclopedia is 8 inches long, 11 inches tall and 4 inches wide. What is the volume of a set of encyclopedias that has eight books?
Answer:
8 in*11 in*4 in*8 encyclopedias= 2,816 in3
here is a tree dagan shouting the sample sue for independent events. How many otcomes are there for the first event
8
2
1
4
Answer:
2 events
Step-by-step explanation:
There are four options. If 1 is selected, then we have two outcomes of the event. This means that there are two outcomes for the first event.
Hope this helps. Have a nice day.
giving brainliest !!!!!
find the surface area of thw figure below.
A. 261 cm
B. 270 cm
C. 441 cm
D. 810 cm
Step-by-step explanation:
Area = 1/2 x b x h
= 1/2 x 9 x 10
= 45 cm ^2
As it has 6 faces, we multiply the area by 6
45 x 6 = 270 cm^2
In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). An independent research firm has been charged with conducting a sample survey to obtain more current information.
Required:
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
b. Repeat part (a) using a 99% confidence level (round up to the next whole number).
Answer:
a)
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.
b) A sample size of 991 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent
This means that [tex]\pi = 0.16[/tex]
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
This is n for which [tex]M = 0.03[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = z\sqrt{\frac{0.16*0.84}{n}}[/tex]
[tex]0.03\sqrt{n} = z\sqrt{0.16*0.84}[/tex]
[tex]\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.
Question b:
99% confidence level,
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2[/tex]
[tex]n = 990.2[/tex]
Rounding up
A sample size of 991 is needed.
pls help I'll mark the first person brainliest answer all
Answer:
4
a. 12
b. 8
c. 30
d. 40
Step-by-step explanation:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
so first its 4
a. 12
b. 8
c. 30
d. 40
i will try to explain:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
Desire conducts a survey of all 800 students in her school to find their favorite berry. She graphs the results of the survey the circle graph shown. If the number of students who prefer raspberries doubles, how many students would choose raspberries as their favorite?
A) 80 students
B) 320 students
C) 40 students
D) 160 students
("My teacher gave a hint: The correct percent (double 20% is 40%) but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!")
Answer:
C) 40 students
Step-by-step explanation:
The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!
Consider △BTW as pictured below.
Find m
Answer:
m<W: 23
Step-by-step explanation:
8x - 9 + 30x - 4 + 13x - 11 = 180
51x - 24 = 180
51x = 204
x = 4
m<W:
8x - 9
8(4) - 9
32 - 9
23
190 sweets is split into 80 sweets and 110 sweets . in simplest form ,what is the ratio of the split?
Answer:
8:11
Step-by-step explanation:
80:110
Find highest common factor which would be 8.
Divide both sides by 8.
8:11
14
What would be the slope of equation #1 in the following system? (Graphing)
2x+3y=12
4x-3y=15
(Worth 10 points )
A:1/2
B: -1
C:3/4
D:-2/3
Answer:
[tex]m = -\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]2x+3y=12[/tex]
[tex]4x-3y=15[/tex]
Required
Slope of #1
[tex]2x+3y=12[/tex]
Make y the subject
[tex]3y = -2x + 12[/tex]
Divide through by 3
[tex]y = -\frac{2}{3}x + \frac{12}{3}[/tex]
[tex]y = -\frac{2}{3}x + 4[/tex]
An equation has the form:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
Compare [tex]y = mx + c[/tex] and [tex]y = -\frac{2}{3}x + 4[/tex]
[tex]m = -\frac{2}{3}[/tex]
Hence, the slope is [tex]-\frac{2}{3}[/tex]
Can Somebody Help Me Please?
Answer:
28 (length' unit)²
Step-by-step explanation:
the area of all A rectangle is 4*8 =32The area of the missing portion of the rectangle is equal to the area of the triangle ½*(2)*(4)=4the area of this shape equal tothe area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²
Select all the expressions that are equivalent to 18 + 4(m − 3) + 4m.
A 2(4m + 3)
D 4(2m + 4)
B 5m + 19
E 8m + 16
C 8m + 6
Answer:
A 2(4m + 3) Distribute 8m +6 match
C 8m + 6 This matches
Step-by-step explanation:
18 + 4(m − 3) + 4m
First distribute
18+ 4m -12 +4m
Then combine like terms
8m +6
Now see which expressions match
A 2(4m + 3) Distribute 8m +6 match
D 4(2m + 4) Distribute 8m + 16 no match
B 5m + 19 This does not have 8m no match
E 8m + 16 This does not have 6 as a constant no match
C 8m + 6 This matches
How to find the value of x
Step-by-step explanation:
To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck