9514 1404 393
Answer:
4a +4
Step-by-step explanation:
The average rate of change of f(x) on the interval is ...
(f(a) -f(1))/(a -1)
= ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)
= 4(a² -1)/(a -1) = 4(a +1) = 4a +4
The average rate of change on the interval is 4a +4.
round 0.25 to the nearest hundredth
Answer:
0.25
Step-by-step explanation:
there is no hundredth in 0.25
Rounding 0.25 to the nearest hundredth gives us 0.26.
We must look at the digit in the thousandth place, which is the following decimal place after the hundredth place, in order to round 0.25 to the closest hundredth.
We round up the digit in the hundredth place by adding 1 since the digit in the thousandth place is 5, which is equal to or larger than 5.
Thus, 0.26 is obtained by rounding 0.25 to the next tenth.
0.25 (initial number) worked
(Number in the thousandth place) (Number in the hundredth position)
We round up the digit in the hundredth place since the digit in the thousandth place is 5, which is 5.
Hence rounding to the nearest hundredth, 0.25 equals 0.26.
Learn more about rounding figures click;
https://brainly.com/question/29261078
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will give brainliest to the correct answer
there are 192 candies. some are sour and some are sweet. for every 15 sour there is 1 sweet. how many candies are in the bag? how many are sweet?
PLS SOLVE I WILL GIVE BRAINLIEST
Answer:0.8004
Step-by-step explanation:
ILL GIVE BRANLIEST!! HELP NOW!!!
Garnet has a container with 4 1/3 cups of flour in it. She can make one dozen muffins with cups of flour. How many dozens of muffins can Garnet make with the flour she has?
A. 10 1/9
B. 1 6/7
C. 1 1/3
D. 2
She can make one dozen of muffins with 2cups of flour..
She can make muffins=
[tex]\\ \sf\longmapsto 4\dfrac{1}{3}\div 2[/tex]
[tex]\\ \sf\longmapsto 2\dfrac{1}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{3}[/tex]
But Now total dozens=
[tex]\\ \sf\longmapsto 4\dfrac{1}{3}\times \dfrac{7}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{13}{3}\times \dfrac{7}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{91}{9}[/tex]
[tex]\\ \sf\longmapsto 10\dfrac{1}{9}[/tex]
9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
the highway is in Alberta. How many kilometres are in Alberta?
Answer:
472.2 km
Step-by-step explanation:
X= 2y-3 what is equation for y
Answer:
y=1/2+3/2
Step-by-step explanation:
I wrote the answer is slope intercept form because it an equation for y
Slope intercept form = y=mx+b
Hope this helps
marking as brainliest
Answer:
3 cm
Step-by-step explanation:
area=length times width.
length=4
width must be 3 as 4x3=12
what set operation combining all elements that are in two sets?
A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.
Answer: n = 2 ....... (2, -4)
Step-by-step explanation:
To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.
To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2
With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)
Let's use (-4,8) point and plug it into our linear equation: y = -2x+b
to get 8=(-2)(-4) +b
8=8+b
0=b (which means our y-intercept is 0)
Now, our official linear equation is y=-2x
The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:
-4=-2x
-4/-2=x
2 = x
And there we go :) I hope this helps!
Answer:
The value of n = 2.
Step-by-step explanation:
Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:
It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:
m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis. Slope:In order to solve for the slope of the line, use the following slope formula:
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (-4, 8)
Substitute these values into the slope formula.
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]
Hence, the slope of the line is: m = -2.
Y-intercept:Next, we must solve for the y-intercept. Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.
Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:
y = mx + b
4 = -2(-2) + b
4 = 4 + b
Subtract 4 from both sides:
4 - 4 = 4 - 4 + b
0 = b
The y-intercept is: b = 0.
Linear Equation in Slope-intercept Form:Therefore, the equation of the line in slope-intercept form is:
y = -2x + 0 or y = -2x.
Find the value of n in (n, -4)In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:
Set y = -4:
y = -2x
-4 = -2x
Divide both sides by -2 to solve for x:
[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]
x = 2
Therefore, the value of n = 2.
Find the median of the following set of numbers.
{36, 16, 24, 33, 49}
Answer:
33
Step-by-step explanation:
First, you need to put it in numerical order: 16, 24, 33, 36, 49
Next, find the number in the MIDDLE of it, which would be 33.
So, the answer is 33.
> The cost of a popsicle at the snack stand is $0.75. Let p represent the number of popsicles and c represent total cost. Use an equation to represent the relationship between the numbers of popsicles bought and the total cost. Type your answer below.
This is what my previous tutor sent, that I don’t understand:
popsicles price: p = 0.75
c = cost
x = number of popsicles bought.
cost = popsicle price * number bought
c = p * x
c = 0.75x
Answer:
SWE
Step-by-step explanation:
6. The cost to download a normal movie is $15.00. New released movies
cost $18.00 to download. What is the percent of increase from a normal
movie download and the new releases?
Answer:
+20% increase
Step-by-step explanation:
(V2−V1)/|V1|×100
=(18−15)|15|×100
=315×100
=0.2×100
=20%change
=+20%increase
the percent of increase from a normal movie download and the new releases are $3.00
A bakery must pay the state 8% sales tax on this week's total sales of $2,050. How much sales tax will the bakery pay to the state for this week?
A. $164.00
B. $164.00
C. $256.25
D. $256.25
Frankie charges 30$ per week for tutoring plus a 10$ sign up fee. Complete the table to show the relationship, then graph the table of values. WILL GIVE BRAINLIEST pls no bs answers
Answer:Answer:
8
Step-by-step explanation:
10(8) + 20 = 120
15 (8) = 120
HELP! Which expression is equivalent to a^b/c
Answer:
[tex]{ \rm{ {a}^{ \frac{b}{c} } \: \dashrightarrow \: ( {a}^{b}) {}^{ \frac{1}{c} } }} \\ \\ { \boxed{ \rm{ \boxed{} \: \: \sqrt[c]{ {a}^{b} } }}} \\ [/tex]
What is one set of values for A and B that will make the equation below true? (A × 10 3 ) = 6.572
Answer:
?
Step-by-step explanation:
4x^2 times what equals -5x^2
Answer:
-1.25
Step-by-step explanation:
-5/4=
-1.25
check answer
4*-1.25= -5
Please I have no clue
Question 1 A physician's “patient panel” is the list of all patients under their care. In the
US, the size of patient panels among primary care doctors is well modeled by a N(1500, 200)
distribution.
(a) If a "medium-sized” panel has anywhere from 1250 to 1750 patients, what proportion
of US primary care doctors have a patient panel that is NOT "medium-sized”?
(b) Find Q1,Q3 and the IQR of the patient panels of US primary care doctors.
Using the normal distribution, we have that:
a) The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
b)
Q1 = 1365.
Q2 = 1635.
IQR = 270.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For this problem, N(1500, 200) means that [tex]\mu = 1500, \sigma = 200[/tex].
Item a:
The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:
X = 1750:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1750 - 1500}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 1250:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1250 - 1500}{200}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1056.
0.8944 - 0.1056 = 0.7888 are medium.
1 - 0.7888 = 0.2112.
The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
Item b:
Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = -0.675(200)[/tex]
[tex]X = 1365[/tex]
Thus, Q1 = 1365.
Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = 0.675(200)[/tex]
[tex]X = 1635[/tex]
Thus, Q3 = 1635.
The IQR is the difference between Q3 and Q1, that is:
[tex]IQR = Q3 - Q1 = 1635 - 1365 = 270[/tex]
Then, IQR = 270.
A similar problem is given at https://brainly.com/question/15953015
What is the equation of the blue line?
Answer:
y = 4x - 3
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -3)
(x2, y2) = (1, 1)
Use the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Substitute the values of the coordinates into the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-3)}{1 - 0} = \frac{1 + 3}{1} = \frac{4}{1} = 4[/tex]
Therefore, the slope (m) of the line = 4.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -3) is the y-intercept. Hence, the y-intercept (b) = -3.
Given our slope, m = 4, and the y-intercept (b) = -3, the linear equation is:
y = 4x - 3
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
You owe $1,753.42 on a credit card with a limit of $3,000.00 at a rate of 15.5% APR. You pay $400.00 the first 2 months and then
$200.00 until the bill is paid off. You pay the bill on the due date each month.
1) Complete the table showing the decreasing debt.
2) How much is your last payment?
3) What is the total amount paid by the time you pay off the credit card?
4) What was your debt ratio at the beginning?
Be sure to include in your response:
All parts of the table are complete and calculations correct
The answers to the additional questions
Month
Principal
Interest
accrued
Payment (on
due date)
End-of-
month
balance
9514 1404 393
Answer:
see attached$33.97$1833.970.584Step-by-step explanation:
1. We cannot be sure of your table headings, so we used ones that seem to fit. The completed table is attached.
The amount of interest is computed first. It is the product of the previous balance and the monthly interest rate: 0.155/12. This amount is rounded to cents, as it would be in real life.
The remainder of the payment after interest is paid goes to reduction of the principal amount owed. That payment to principal is subtracted from the previous EOM Balance to give the new end-of-month balance.
The total of payments to date is found in the Accrued Pmt column.
__
2. For the last payment, we made note of the interest owed and the outstanding balance, and added those values to get the payment amount. The result is the final balance is zero. The last payment is $33.97.
__
3. The total of all payments is $1833.97.
__
4. The "debt ratio" is presumed to mean the ratio of the credit card balance to the credit card limit. That ratio is ...
1753.42/3000 ≈ 0.584 . . . . "debt ratio"
_____
Additional comment
Various definitions of "debt ratio" are used by different folks for different purposes. Sometimes, it means the ratio of debt to income. Sometimes it means the ratio of minimum payments due to income. Here, we're not given any income information, so we presume the ratio is supposed to mean the fraction of credit limit that is being utilized.
Solve using the square root method X2=25
Answer:
Square root =
remember :
[tex]\boxed {x^2 = \pm a}[/tex]
x² = ± a
x = ña
.
x = ñ25
x = ±5
• x = 5 and -5
what number has the prime factorization 2 6th * 5 6th show your work
At the close of one business day, TNT stock was trading at $40 per share. At the close of the next business day, the stock was trading at $43 per shape. Find the percent of the increase
Answer: 7.5% increase by the end of the day.
Step-by-step explanation:
new - original = #
# / original = decimal
decimal x 100 = percent.
a man spends 1/9 of his salary on rent, 1/2 on food and 1/4 on clothes and other items. if he has GHC 195 left at the end of the month, how much does she earn.
Answer:
1404
Step-by-step explanation:
Please help me I need to pass
Answer:
5 / 8
Step-by-step explanation:
3 / 4 = 0.75
5 / 8 = 0.625
5 / 8 is between 1 and 3 / 4.
WHAT IS 300% ON 100 ?
Answer:
300.
Step-by-step explanation:
that's the answer.
Answer:
The answer would be 300
Step-by-step explanation:
300 x 100 = 30000
30000 ÷ 100 = 300
Hope this helps!!
slope of the line (1,2)(4,1)
Answer:
-1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
(1,2)(4,1)
1-2 / 4-1
-1/3
Your business is looking into three contracting firms. Based on previous research, there is a 75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2 will earn you $60,000. Company 3 has a 30%chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect after this deal is done if you sign with all 3 companies?
$21,000 loss
$81,000 loss
$21,000 profit
$81,000 profit
there would be a $21,000 profit.
this is because of the equation:[tex]40,000(.75) + 60,000(.45)+80,000(.30)+(-20,000)(1)= 21,000[/tex]
I would expect a $21,000 profit if I sign with all 3 companies.
Given that my business is looking into three contracting firms, and based on previous research, there is a 75% chance that company 1 will earn me $ 40,000, there is a 45% chance that company 2 will earn me $ 60,000, while Company 3 has a 30% chance of earning me $ 80,000, and it costs $ 20,000 to draw up legal paperwork for each company, to determine how much profit or loss would I expect after this deal is done if I sign with all 3 companies, the following calculation must be performed:
((40,000 x 0.75) - 20,000) + ((60,000 x 0.45) - 20,000) + ((80,000 x 0.30) - 20,000) = X 30,000 - 20,000 + 27,000 - 20,000 + 24,000 - 20,000 = X 81,000 - 60,000 = X 21,000 = X
Therefore, I would expect a $21,000 profit if I sign with all 3 companies.
Learn more in https://brainly.com/question/22097128
y = x + 3
help with table and graph
Table:
1st row: x = -2 and y = 1
2nd row: x = -1 and y = 2
3rd row: x = 0 and y = 3
(It will continue going on with x and y each going up by one infinitely.)
Graph:
The graph is linked, so you can plot the points.
If needed, here are the plotted points:
-2, 1
-1, 2
0, 3
(The same things put in the table. Also, if needed, I added the extra points of 1, 4 and 2, 5 on the image.)
Hope this helps! :D
Natalie and eight of her friends went out
to eat. They decided to split the bill
evenly. Each person paid $15. What was
the total bill?
The total bill was $135
Natalie AND her eight friends went to eat so there are 9 people.
Since each person paid $15, you can write this equation.
15 x 9 = 135
