Answer:
The function that can be used in the online shopping club about its monthly revenue is:
[tex]R = -400x^{2} +7200x+70000[/tex]
Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
10,000 members$7 per month for membershipLoses of 400 members by each $1 monthly increaseHow the variable [tex]x[/tex] represents the price increase, we can do the formula below:
[tex](10000 - 400x) * (7+x)[/tex]In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:
[tex](10000 - 400x) * (7+x)[/tex]We operate the values:
[tex]70000+10000x-2800x-400x^{2}[/tex]Solve we can:
[tex]70000+7200x-400x^{2}[/tex]And organize:
[tex]-400x^{2} +7200x+70000[/tex]At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:
[tex]R=-400x^{2} +7200x+70000[/tex]The number 163 represents the
of the data set.
Answer:
Median
Step-by-step explanation:
The line that divides the rectangular box that into two on a box plot usually represents the median of the data set.
Therefore, number 163 would be the median of the data set.
163 represents the median value of the data set.
Answer:
The number 163 represents the
median
of the data set.
Step-by-step explanation:
PLEASEE HELPP IM DESPERATE I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY
The function below has at least one rational zero. Use this fact to find ALL zeros of the function.
g(x)=5x^3+x^2-20^x-4
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
Which is the product in the expression 5(z+6)-25+x
what is 5% of 20= pls I really need some help on this will mark brainly if correct
Answer:
1
Step-by-step explanation:
5% of 20 = 1. hope this helps :)
earth is approximately 9 x 10^7 miles from the sun. neptune is approximately 3x10^9 miles from the sun. neptune is approximately _____ times farther from the sun than earth
Answer:
[tex]33[/tex] times
Step-by-step explanation:
Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles
Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles
Find [tex]\frac{d}{D}[/tex].
[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]
Therefore,
Neptune is approximately [tex]33[/tex] times farther from the sun than earth
Solve for m:
14m = 35
A. m = 5/3
B. m = 3/4
C. m = 2/5
D. m = 5/2
Answer:
D. m = 5/2
Step-by-step explanation:
35 / 14 = m
35 / 14 = 2.5
2.5 as a fraction is 5/2
The equivalent value of m is given by the expression m = 5/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:
14m/14 = 35/14
Simplifying, we get:
m = 35/14
On further simplification of the equation , we get
m = (35/7)/(14/7)
m = 5/2
Hence , the equation is m = 5/2.
To learn more about equations click :
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Noah wanted to check his solution of x = 14/5 for the equation 1/2 (7x - 6) = 6x - 10 substituting 14/5 for x, he writes the following
Find the incorrect step in Noah's work and explain why it is incorrect
PLEASE HELP ME
Answer:
Line 4 is incorrect. Noah applied the distributive rule incorrectly.
Step-by-step explanation:
The incorrect step in Noah's work is fourth step that is :
[tex]7.14-6=12.14-20[/tex]
We have equation [tex]\frac{1}{2} (7x - 6) = 6x - 10[/tex]
Substituting [tex]x=\frac{14}{5}[/tex] in the given equation
[tex]\frac{1}{2} (7(\frac{14}{5} ) - 6) = 6((\frac{14}{5} ) - 10\\ (7(\frac{14}{5} ) - 6) = 12((\frac{14}{5} ) - 20\\ 5(7(\frac{14}{5} ) - 6) = 5(12((\frac{14}{5} ) - 20)\\7.14-5.6=12.14-5.20\\98-30=168-100\\68=68[/tex]
So, here in the given solution we observe that the fourth step is incorrect.
Since 5 is not multiplied to 6 and 20.
Learn more:https://brainly.com/question/10439298
5. Murphy obtains a 15/5 balloon mortgage to finance $113,500 at 4.95%. How much principal and interest will he have already pald when his balloon payment is due? (2 points)
$85,433.10
O $70,863.13
O $52,781.40
O $53,676.00
Answer:
$278.15×60= $16688.969
Step-by-step explanation:
Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk
To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:
Formula for monthly payments
A= P×r×r(1+r)^n/(1+r)^n-1
Where A= monthly payments
P= mortgage loan value
r= interest rate on loan
n= number of payments = 15×12= 180 monthly payments
Substitute :
A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1
A= $113500×0.0495×296.104/5980.90
A= $113500×0.0495×0.049508
A= $278.15
To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment
60×$278.15= $16688.969
Records kept for a period of 30 weeks by a
dietician at a cafeteria show the following
weekly consumption of milk ( in gallons).
200
205
210
215
220
225
230
235
240
Milkin
gallons
Probability
3/30
4/30
6/30
5/30
4/30
3/30
2/30
2/30
1/30
Find the average number of gallons of milk
consumed per week.
Answer:
216
Step-by-step explanation:
LCD = 30
200(3/30) = 600/30
^ do this process for each number
Answer: 216
Step-by-step explanation:
How do you get from 4 to 4/3
Answer:
- 8/3
Step-by-step explanation:
Simply subtract 4 from 4/3
4/3 - 4 = 4/3-12/3=-8/3
Lets check of our answer is correct:
4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.
Use greater than or less than for the following problem 5 2/3 + 3 3/4 _______8 2/3
9514 1404 393
Answer:
>
Step-by-step explanation:
We know that 5 + 3 = 8, so 5 2/3 +3 = 8 2/3.
This problem has you adding 3 3/4, not 3, so the sum will clearly be "greater than" 8 2/3.
5 2/3 + 3 3/4 > 8 2/3
80.6 divided by 6 please answer
Answer:
13.433333333
Step-by-step explanation:
Two numbers are missing from this table. how can the missing numbers be found.
Answer:
Multiply input by 2
Step-by-step explanation:
The pattern is the input multiplied by 2. Just multiply the input value by 2 and you get the output value.
Out of 40 times at bat, Raul got 15 hits. Find Raul’s batting average.
Answer:
.375
Step-by-step explanation:
To find the batting average, do 15/40. And 15/40=.375
please help me with his it needs to be in a fraction form
What’s the function and domain and range. (1, -2) (-2, 0) (-1, 2) (1, 3)
Answer: Domain:
{
1
,
−
2
,
−
1
}
{
1
,
-
2
,
-
1
}
Range:
{
−
2
,
0
,
2
,
3
}
Step-by-step explanation: The domain is the set of all the values of
x
x
. The range is the set of all the values of
y
y
.
A series of books is published at 4-year intervals. When the fifth book is issued, the sum of the publication’s years will be 10,020. When was the first books published?
Answer:
The first book was published in 1816.
Step-by-step explanation:
A series of books is published at 4-year intervals.
This means that:
The first book is published at year x.
The second book is published at year x + 4.
The third book is published at year x + 4 + 4 = x + 8
The fourth book is published at year x + 8 + 4 = x + 12
The fifth book is published at year x + 12 + 4 = x + 16
When the fifth book is issued, the sum of the publication’s years will be 10,020.
This means that:
[tex]x + x + 4 + x + 8 + x + 12 + x + 16 = 10020[/tex]
[tex]5x + 40 = 10020[/tex]
When was the first books published?
This is x. So
[tex]5x + 40 = 10020[/tex]
[tex]5x = 9080[/tex]
[tex]x = \frac{9080}{5}[/tex]
[tex]x = 1816[/tex]
The first book was published in 1816.
side length z =
angle d =
Answer:
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
Step-by-step explanation:
Step(i):-
Given that ∠HIG is a right angle triangle
Given∠I = 53°
By using the sine function
[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]
z = 25 × sin53° = 25×0.798635
z = 19.965 ≅20 m
Step(ii):-
[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]
⇒ [tex]d = sin^{-1} (\frac{4}{5} )[/tex]
⇒ d = 53.13°
Final answer:-
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
what’s the answer for this question?
Triangle JKL is similar to triangle MNO. Find the measure of side OM. Figures are not drawn to scale.
Answer:
16.8
Step-by-step explanation:
Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.
Answer:
16.8 is the measurement of OM
Step-by-step explanation:
In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.
The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour. Suppose that we want to compute probabilities about the average daily downtime for a period of 30 days.
i. What assumptions must be true to use the result of Theorem 7.4 to obtain a valid approximation for probabilities about the average daily downtime?
ii. Under the assumptions described in part (i), what is the approximate probability that the average daily downtime for a period of 30 days is between 1 and 5 hours?
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
Solve and check please help ty
so wt's the question of this pic?
Simplify
Plsss hurry
Answer:
imma say the third one
Step-by-step explanation:
sorry if wrong
How is a constant term different from a variable term
for an expression that represents a real-world situation?
Answer:
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.
Step-by-step explanation:
Solve the inequality for the missing variable
24 -1t
1/5
Answer:
−t+24
Step-by-step explanation:
Find the total cost of these items, including tax. Round to the nearest hundredth.
Water bottle:
Flashlight:
Answer: watter bottle : $1.61
Flashlight : $3.20
Step-by-step explanation:
How much water do you add:
To make 25% sugar syrup using 15g of sugar?
Answer:
amount of water required = 45 g
Step-by-step explanation:
Answer:
45g
Step-by-step explanation:
PLEASE HELP i have by the end of the day to turn this in PLEASE DO NOT GUESS :)
Answer:
x=101
Step-by-step explanation:
the missing angle and the outside angle have to equal 180 so
148-180= 32
then add 32+47 and subtract by 180 and that's your answer
find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
What is the coordinate where x=-1 ?
What is the coordinate where x=2?
What is the rate of change between those two points?
Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the coordinates above:
[tex]slope = \frac{-2-1}{2-(-1)}[/tex]
Simplify:
[tex]slope = \frac{-3}{3} = -1[/tex]
Thus, the rate of change between the points is -1.
What is the value of x in the equation below?
4(x + 1) = 3x +7
Answer:
89
Step-by-step explanation: