Answer:
[tex]n =26[/tex]
Step-by-step explanation:
Given
[tex]f(n) = (2n - 2) + 2[/tex]
Required
Find n when [tex]f(n) = 52[/tex]
Substitute 52 for f(n) in [tex]f(n) = (2n - 2) + 2[/tex]
[tex]52 = (2n - 2) + 2[/tex]
Remove bracket
[tex]52 = 2n - 2 + 2[/tex]
[tex]52 = 2n[/tex]
Make n the subject
[tex]n = \frac{52}{2}[/tex]
[tex]n =26[/tex]
The position is 26
Given this equation y = x2 + 2x -5 , Find the average rate of change over the interval 2 ≤ x ≤ 4 ?
Answer:
The average rate of change is 8.
Step-by-step explanation:
We are given the equation:
[tex]y=x^2+2x-5[/tex]
And we want to find the average rate of change on the interval [2, 4].
When finding the average rate of change, we essentially find the endpoints and then find the slope between them.
So, the endpoints are:
[tex]y(2)=(2)^2+2(2)-5=3[/tex]
And:
[tex]y(4)=(4)^2+2(4)-5=19[/tex]
So, the average rate of change between them is:
[tex]\displaystyle m=\frac{19-3}{4-2}=\frac{16}{2}=8[/tex]
Plz help how much will it cost to pump one litre of fuel in to the tank unit rate?
Answer:
If a tank is 5/8 filled with solution, how much of the tank is empty? ... In Hampton City, the iron content of the raw water measures 5.0 mg/L. After ... How many gallons of water would it take to fill a tank that has a volume of 6,000 cubic feet?
Step-by-step explanation:
EWcec
answer quick please
Which sentence can be represented by the equation 5 m=15?
The sum of 5 and a number is 15.
Three-fifths more than a number is 15. Three-fifths times a number is 15. 3
The quotient of Ğ and a number is 15.
Answer:
the answer is c
Step-by-step explanation:
Three-fifths times a number is 15.
A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. To estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. The biologist checked for the following.
(200) (0.06) >= 10
(200) (0.94) >=10
(197)(0.086) >=10
(197)(0.914) >= 10
Which of the following conditions for inference was the biologist checking?
a. The population of deer within each region is approximately normal.
b. it is reasonable to generalize from the samples to the populations.
c. The samples are independent of each other.
d. The observations within each sample are close to independent.
e. The sampling distribution of the difference in sample proportions is approximately normal Prisen.
Answer: The sampling distribution of the difference in sample proportions is approximately normal
Step-by-step explanation:
Given that :
Random sample of deer from one region = 200
p = 0.06
1 - p = 1 - 0.06 = 0.94
Random sample of deer from other region = 197
p = 8.6% = 0.086
1 - p = 1 - 0.086 = 0.914
For an approximately normal distribution :
np ≥ 10
n(1 - p) ≥ 10
(200) (0.06) = 12
(200) (0.94) = 188
(197)(0.086) = 16.942
(197)(0.914) = 180.058
Since all conditions are met :
Then, the sampling distribution of the difference in sample proportion is approximately normal.
A given angle measures 30° and the measure of its vertical angle is expressed as (5x + 5).
Part A
Write an equation to determine the value of x. Solve for 2.
Enter the correct answers in the boxes.
Answer:
Equation: 5x+5 = 30
x = 5
Step-by-step explanation:
Since vertically opposite angles are equal, then;
5x+5 = 30
Subtract 5 from both sides
5x +5-5 = 30-5
5x = 25
x = 25/5
x = 5
The required equation is 5x+5 = 30 (vertically opposite angles are equal)
The value of x is 5
What are the roots of the equation 16x2 + 40x + 27 = 0 in simplest a + bi form?
9514 1404 393
Answer:
-5/4 +i(√2)/4 and -5/4 -i(√2)/4
Step-by-step explanation:
I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...
x^2 +5/2x +27/16 = 0
Completing the square by adding and subtracting the square of half the x-coefficient, we get ...
(x^2 +5/2x +25/16) +27/16 -25/16 = 0
(x +5/4)^2 = 2/16
Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...
x +5/4 = ±√(-2/16)
x = -5/4 ±i(√2)/4
The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.
write the first five terms of the sequence. an=n2 +2
the doctor recommended that Matt increase the number of calories you consume from 2000 to 2800 by what percent did the number of calories increase
Answer:
40% number of calories have increased
Step-by-step explanation:
Old Value ( Calories consume before) = 2000
New Value (increase in Calories consumed) = 2800
We need to find by what percent did the number of calories increase
To find percent increase, the formula used is:
[tex]Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100%[/tex]
Putting values in formula and finding percent increase
[tex]Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100\%\:\\Percent\: increase=\frac{2800-2000}{2000}\times 100\%\: \\Percent\: increase=\frac{800}{2000}\times 100\%\: \\Percent\: increase=0.4\times 100\%\: \\Percent\: increase=40\%[/tex]
So, 40% number of calories have increased
Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk produced, in gallons per week. The least-squares regression line produced from a random sample is . Based on the model, what is the difference in predicted amounts of milk produced between a cow of 5 years and a cow of 10 years
Complete question :
Dairy farmers are aware there is often a linear relationship between age, in years, of a dairy cow in the amount of milk produced, in gallons per week. The least squares regression line produced from a random sample is milk=40.8-1.1(Age). Based on the model, what is the difference in predicted amounts of milk produce between a cow of five years in a cow of 10 years?
Answer:
A cow of five years is predicted to produce 5.5 more gallons of milk per week.
Step-by-step explanation:
Given the regression model :
milk=40.8-1.1(Age)
Milk produced by 5 year old cow using the model :
Milk produced = 40.8 - 1.1(5)
Milk produced = 40.8 - 5.5
Milk produced = 35.3
Milk produced by 10 year old cow using the model :
Milk produced = 40.8 - 1.1(10)
Milk produced = 40.8 - 11
Milk produced = 29.8
Difference in volume of milk produced :
Age 5 milk producrion- Age 10 milk production :
35.3 - 29.8
= 5.5
Answer:
Answer B
Step-by-step explanation:
The difference of 5 years produces a 5.5 gallon per week difference in favor of the younger cow.
I need help does anyone know the slope intercept for this one?
Answer:
(0,2)
Step-by-step explanation:
The slope-intercept (aka y-intercept) is where the line crosses the y-axis. And the slope-intercept is at (0,2)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?
Answer:
$12.49
Step-by-step explanation:
cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98
cost of one purse = $24.98 ÷ 2 = $12.49
A triangle has a perimeter of 32 inches. The medium side is 7 more than the short side, and the longest side is 3
times the length of the shortest side. Find the shortest side
Answer:
5 inches
Step-by-step explanation:
"perimeter of 32"
a+b+c = 32
a ≤ b ≤ c
"medium side is 7 more than the short side"
b = a+7
"longest side is 3 times the length of the shortest side
c = 3a
Substitution
a + (a+7) + (3a) = 32
5a = 25
a = 5 inches
Which line , or solid , is the best line of best fit ? What evidence can you provide to prove this is the best line of best fit ?
Please help this is due in 31 minutes
Answer:
X=45
Step-by-step explanation:
You see the congruency markings use B.A.T to determine that the unmarked angle is x, therefore 4x=180 and x=45
hich expression is equivalent to -4(7 - 2m) + 11m?
Answer:
[tex] - 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}[/tex]
Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.
The equation c = 0.25n can be used to find the cost (c) of buying n number of apples.
A) What is the constant of proportionality in this equation?
B) What information does the constant of proportionality provide us?
C) How many apples can you buy for $3?
Be sure to answer A, B and C. Make sure that you label each answer.
PLEASE HELP ME!
Answer:
a) Constant of proportionality = 0.25
b) The constant of proportionality provides the cost of one apple.
c) n = 12
Step-by-step explanation:
It is given that:
c = 0.25n
a) Here,
c = cost of apples
n = number of apples
As the proportion varies directly.
c ∝ n
c = kn
Comparing the equations
k = 0.25
b) The constant of proportionality provides the cost of one apple.
c) Putting c = $3
3 = 0.25n
Dividing both sides by 0.25
n = 12
Thus,
a) Constant of proportionality = 0.25
b) The constant of proportionality provides the cost of one apple.
c) n = 12
Which expression has exactly two terms
4n
Ab2
5y2
3x5
Answer: 3x +5
Step-by-step explanation:
I did it
Including a 9% sales tax, an inn charges $114.45 per night. Find the inn's nightly cost before tax is added.
Answer:
$10.34
Step-by-step explanation:
9/100 x $114.95= $10.34
savoy the person i need u 2 answer me!!!
Answer:
i'm here Mittens
Step-by-step explanation:
so what u doing cutie
Solve the given inequality and graph the solution on the number line
-x/2+3/2<5/2
Answer:
3x
Step-by-step explanation:
Answer:
-x/2+3/2<5/2=
-x/2+3/2=5/2
subtracting 3/2 from both sides,
-x/2=2/2
simplifying, 2/2=1
-x/2=1
to get rid of the denominator of 2 you must multiply by 2. also to make the answer positive you must multiply both sides by -1,
therefore: x>-2
Step-by-step explanation:
The ratio of 15 and a number.
Answer:
15 to 20
Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day ◑﹏◐
Answer:
15:x or 15 to x
Step-by-step explanation:
it depends on what the question is asking, so if they want you to fill in a number, you could replace x with any number you'd like. but its probably a word problem they want you to put as numbers, so bc you dont know what 'a number' is, you can pick a variable such as x to replace it with.
hope this helps :)
2) y=-(x + 3) - 1
+
3
Answer:
2) y=-(x + 3) - 1
+
3
=8y. is a answer ok yes or not
Solve the system by substitution.
y = x - 8
y = 2x - 14
The solution is (_, _).
Answer:
x= 6
y= -2
Step-by-step explanation:
y = x-8........equation 1
y= 2x-14.......equation 2
Substitute x-8 for y in equation 2
x-8= 2x-14
x-2x= -14+8
-x= -6
x= 6
Substitute 6 for x in equation 1
y= x-8
y= 6-8
y= -2
Hence x = 6 and y is -2
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=35
Step-by-step explanation:
40+40+2x+30 = 180
Combine like terms:
2x+110=180
Subtract 110 from both sides
2x=70
x=35
The ratio of the sides of a triangle is 2:6:7. If the perimeter of the triangle is 195 meters, what is the length of the shortest side?
Answer:
The shortest side is 26 units.
Step-by-step explanation:
(2×13)+(6×13)+(7×13) = 195
2×13 = 26
Find the value of the power.
35 =
The 5 is supposed to be on the top of the 3 but on the right side.
Answer:
Step-by-step explanation:
You mean 3⁵ = ? stay click
3⁵ = 3×3×3×3×3
= 243
In your class, 7
students do not receive a weekly allowance, 5
students receive $3
, 7
students receive $5
, 3
students receive $6
, and 2
students receive $8
. What is the mean weekly allowance?
Which expression represents the phrase " the difference of 18 and 12"?
Given:
The statement is "the difference of 18 and 12".
To find:
The expression for the given statement.
Solution:
We have,
Given statement = The difference of 18 and 12.
We use subtraction, to find the different between two numbers and subtraction is represented by negative sign. So, we need to subtract second number form the first number.
The difference of 18 and 12 = 18 - 12
Therefore, the required expression for the given statement is 18-12.
There are 36 students on the debate team at a school. There are 6 seniors, 12 juniors,
10 sophomores, and 8 freshmen on the team. The coach is going to select 4 students at random to participate in
the next debate. Calculate the probability that all 4 students are sophomores.
O 0.0036
O 0.0060
O 0.0084
O 0.2778
A
0.0036
Bsshsjsjsjsnsn
Answer:
A 0.0036
Is correct
ED2021
In 2008, more than one million American students gave nearly 20 million service hours to their communities. They made a difference in people's lives and learned some important life lessons in the process. Organizations, including schools, are actively promoting service for all citizens as a way to be involved, help others, and improve themselves.
Service is helping other people and being active in your community. For example, one group of teens planted a community garden with their friends. They grow a variety of vegetables. The garden requires regular care. The teens donate the produce to a local soup kitchen. Workers there use the produce to help feed people in the community. By tending the garden and donating their produce, the teens are actively helping make life a bit better for others in their community.
Service is valuable in ways that cannot be measured in dollars. People volunteer or serve others without expecting money or gifts in return. Service is not about earning money. It is not just collecting money to give to a group. It is about action and contributing to the common good. The people who serve as well as those who receive help benefit in many ways that are more important than money or gifts. For example, a soup kitchen provides essential food to people who may otherwise go hungry. The soup kitchen is extremely valuable for those struggling to get enough to eat. Those serving learn about compassion and how helping others can improve life for all.
Millions of Americans are making society better for themselves and for others. They are participating citizens in their community, raising up those who are less fortunate. In return, they become better people who can understand the perspectives and needs of others, which are invaluable and important qualities of good citizens.
Which sentence best represents the main idea of paragraph three, the second body paragraph?
Group of answer choices
(Answers)
Service is valuable in ways that cannot be measured in dollars.
It is about action and contributing to the common good.
Workers there use the produce to help feed people in the community.
The soup kitchen is extremely valuable for those struggling to get enough to eat.
Answer:
A
Step-by-step explanation:
As the first sentence states, Service is valuable in ways that cannot be measured in dollars, and goes on to explain how that is.