Answer: (assuming the first three terms are -6, -2, 2)
(a) f(n) = 4n - 10
(b) 30
Step-by-step explanation:
(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)
(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:
2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4
Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:
-6 - 4 = -10.
At this point, you can write the equation:
f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)
f(n) = 4n - 10 (reorganize by value of exponents)
(b) In order to find the 10th term, you just need to plug it into the previous equation:
where n = 10, and f(n) = 4n - 10,
f(n) = 4(10) - 10 (substitute n into the equation)
f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)
f(n) = 30 (subtract)
help plz ill give extra points
PLEASE ANSWER QUICK
The sum of the data values divided by the number of data values is a measure of ______ and is called the _____
FIRST BLANK'S OPTIONS = CENTER/SPREAD
SECOND BLANK'S OPTIONS = MEAN/MEAN ABSOLUTE DEVIATION/MEDIAN/RANGE
Answer:
Center... Mean
Step-by-step explanation:
The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order.
a cuanto le tienes que sumar a 67222 para que llegue a 72622?
le tienes que sumar 5,400 para que te de el resultado
Answer:
Le tienes que añadir 5400
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
y = mx + b
Step-by-step explanation:
2 1/3 years to months
Answer:
27.99996931510212 months
Rounded to the nearest tenth: 28 months
Step-by-step explanation:
Hi can you guys help me with this please
Answer:
C
Step-by-step explanation:
i think
Answer:
C
Step-by-step explanation:
Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy? Enter your answer in the box.
A cube with side length 12 centimeters and a square pyramid on top. The height of one triangular face of the pyramid is 15 centimeters.
Answer:
1224
Step-by-step explanation:
12 x 12 = 144 then do 144 x 6 = 864
15 x 12 x 1/2 = 90 then 90 x 4 = 360
Add 864 + 360 = 1224
BUT
I am not sure if this is correct. I looked up this equation and I see that it says the answer is 1080 so let me know which one you got right
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
what is the area of a triangle with a height of 2.9 cm and a base of 7 cm
Answer:
area=10.15 cm
Step-by-step explanation:
a=h*b/2
a= 2.9*7/2
a= 10.15
Many consumer groups feel that the U.S. Food and Drug Administration (FDA) drug approval process is too easy and, as a result, too many drugs are approved that are later found to be unsafe. On the other hand, a number of industry lobbyists have pushed for a more lenient approval process so that pharmaceutical companies can get new drugs approved more easily and quickly. Consider a null hypothesis that a new, unapproved drug is unsafe and an alternative hypothesis that a new, unapproved drug is safe.
a. Explain the risks of committing a Type I or Type II error.
b. Which type of error are the consumer groups trying to avoid? Explain.
c. Which type of error are the industry lobbyists trying to avoid? Explain.
d. How would it be possible to lower the chances of both Type I and Type II errors?
Answer:
A) The risk of committing Type I error would imply that an unsafe drug is approved. However, the risk of committing a Type II error would imply that a drug is safe but not approved.
B) They are trying to avoid type I error because they don't want drugs that are unsafe to be approved.
C) They are trying to avoid type II errors because the companies would have to continue testing even when the drugs are safe.
D) To lower the chances of type I error, the significance level has to be reduced and they need to make sure that the tests are run for longer periods so that a good representation of the sample size would have been tested which means we are increasing the credibility of the test results.
To lower the chances s of type II error, we have to ensure we increase the sample size and decrease the variants of the drugs.
Step-by-step explanation:
In errors in statistics, we can define type I error as when the null hypothesis is rejected even when it is true while a type II error is when we fail to reject the null hypothesis even when it is false.
A) The null hypothesis in this question is that a drug is unsafe. Thus, the risk of committing Type I error would imply that an unsafe drug is approved. However, the risk of committing a Type II error would imply that a drug is safe but not approved.
B) The consumer groups feel that too many approved drugs are found out later to be unsafe. Thus, they don't want drugs that are unsafe to be approved and it means they are trying to avoid type I error.
C) The error that the Industry lobbyists are trying to avoid is the Type II error. This is because the companies would have to continue testing even when the drugs are safe.
D) To lower the chances of type I error, the significance level has to be reduced and they need to make sure that the tests are run for longer periods so that a good representation of the sample size would have been tested which means we are increasing the credibility of the test results.
To lower the chances s of type II error, we have to ensure we increase the sample size and decrease the variants of the drugs.
Angel and Kellie each have the same amount of money in their wallet. Angel buys two juice drinks and receives $1.10 in change after she pays. Kellie buys 1 juice drink and receives $3.05 in change after she pays. Which equation shows how to find the cost of a juice drink, j?
Answer:
y= 2x+1.10
y=x+3.05
Step-by-step explanation:
PLEASEEEEE HELPP
Patty purchased rose bushes and geraniums for her yard. Patty spent $206 on 14
rose bushes and 12 geraniums. The price of a geranium is $5 less than twice the
cost of a rose bush. What is the cost of one rose bush?
9514 1404 393
Answer:
$7
Step-by-step explanation:
Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...
14r +12g = 206
g = 2r -5
Using the second equation to substitute for g in the first equation, we have ...
14r +12(2r -5) = 206
38r -60 = 206
38r = 266
r = 266/38 = 7
The cost of one rose bush is $7.
Find the area of the rectangle shown. 0.3 in. 0.6 in.
Answer:
The answer is 0.18
Step-by-step explanation:
All you have to do is multipy length x width
Which function has a relative minimum at (0, -3)?
You deposit $300 in an account. The account earns $54 simple interest in 4 years. What is the annual interest rate?
HELP ME PLEASE
Part 2: What is the quotient of
5
3
?
4
12
Answer:
addition=24
subtraction=6
multiplication=720
division=1.8
Which statements are correct about the average rate of change for the function f(x) = x2 + 9x + 18 ?
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
In ANOP, the measure of P=90°, PN = 95 feet, and OP = 31 feet. Find the measure
of ZO to the nearest degree.
Answer: 72
Step-by-step explanation:
Given f(x) = 6x – 9, find the value of f(-8).
Answer:
-57
Step-by-step explanation:
f(-8)=6(-8)-9
f(-8)=-48-9
f(-8)=-57
En una habitación del Grand Hotel de Indianápolis se pueden hospedar un máximo de 2 personas. Si el hotel cuenta con 12 pisos y cada piso con 12 habitaciones. ¿Cuántas personas pueden hospedarse en el hotel al no haber vacantes?
Answer:
la solucion es 288
Step-by-step explanation:
porque 12 pisos •12 habitaciones es 144 habitaciones y multiplicar 144 con 2 personas tenemos 288.
espero que esto ayude!!
mr kabi invest k375 at a simple interest rate of 8.375 per annum what amount will his investment grow to over 4 years 8 months?
Answer:
I am not sure
Step-by-step explanation:
Sorry
The invested amount will be k 521.56 after 4 years 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that:
Mr Kabi invest k375 at a simple interest rate of 8.375 per annum
The invested amount = k 375
Rate of interest = 8.375 per anum
Rate of interest = 8.375/12 per month
Rate of interest = 0.6979 per month
Number of months = 4x12 + 8 = 56
As we know, the formula for the simple interest is given by:
A = P(1 + rt)
A = 375(1 + 0.6979×56)
A = k 521.56
Thus, the invested amount will be k 521.56 after 4 years and 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.
Learn more about the simple interest here:
brainly.com/question/22621039
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14 club members have birthdays in summer. This is 20% of the birthdays in the club. How many club members are there? How do you do this, for kids?
Answer:
70 club members in all
Step-by-step explanation:
we know that 14 people is equal to 20%
we also know that to get 20% to 100% you multiply by 5
So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)
hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.
hope this helps <3
Answer:
70 members
Step-by-step explanation:
Whatever the % is, the answer on the right side of the equation must by 14
So 20% of some number = 14.
20/100 x = 14 Remember 20% = 20 / 100. Multiply by 100
20x = 14*100
20x = 1400 Divide by 20
x = 1400/20
x = 70
There are 70 members in the club.
Kids are done no differently.
The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.
Answer this question and I will mark you branilist
Answer: F
Step-by-step explanation:
2 ft 10 inches of 3 1/2 ft
Answer0.7
Step-by-step explanation:In math of mostly means to multiply ,so 2/10x3 1/2=0.7
please help me to understand. Thanks.
Answer:
B. {(x, y): y = x²}
Step-by-step explanation:
A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.
Which function is shown in the graph below?
y= 22-2 + 3
y = 2X+2+3
y = 2X-3+2 Y=2^x+3+2
Answer:
B 2^x+2 +3
Step-by-step explanation:
hope this helps :)
The function that matches the graph and the given points (7, 0) and (-8, 5) is: y = 2X + 2 + 3. (option b)
This function seems to have a typo, as it simplifies to y = 23, which is a constant value and does not depend on the variable x. This means the graph would be a horizontal line at y = 23 and would not pass through the points (7, 0) and (-8, 5).
y = 2X + 2 + 3
This function can be simplified to y = 2X + 5. Evaluating the points (7, 0) and (-8, 5) in this function:
For (7, 0):
y = 2 * 7 + 5
y = 14 + 5
y = 19
For (-8, 5):
y = 2 * (-8) + 5
y = -16 + 5
y = -11
y = 2X - 3 + 2 Y = 2ˣ + 3 + 2:
It seems there is a typo in this option with "Y" being capitalized. Assuming it is meant to be y, we have two separate functions:
a. y = 2X - 3 + 2
b. y = 2ˣ + 3 + 2
a. For y = 2X - 3 + 2:
Evaluating the points (7, 0) and (-8, 5):
For (7, 0):
y = 2 * 7 - 3 + 2
y = 14 - 3 + 2
y = 13
For (-8, 5):
y = 2 * (-8) - 3 + 2
y = -16 - 3 + 2
y = -17
b. For y = 2ˣ + 3 + 2:
Evaluating the points (7, 0) and (-8, 5):
For (7, 0):
y = 2⁷ + 3 + 2
y = 128 + 3 + 2
y = 133
For (-8, 5):
y = 2⁻⁸ + 3 + 2
y ≈ 0.004 + 3 + 2
y ≈ 5.004
To know more about function here
https://brainly.com/question/28193995
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help me pls. answer correct
Answer:
1st answer is
[tex](x.y) = ( \frac{38}{5} . \frac{2}{5} ) \\ [/tex]
2nd answer is (x, y) =(36, 45)
PLS HELP WILL MARK BRAINLEST
Answer:
uhhhhhhhhh help with what ?
x-5>10.7 pls answer in with in 2 or 3 mins
Answer:
[tex]x > 15.7[/tex]
Step-by-step explanation:
1) Add 5 to both sides.
[tex]x > 10.7 + 5[/tex]
2) Simplify 10.7 + 5 to 15.7.
[tex]x > 15.7[/tex]
Therefor, the answer is x > 15.7
Answer:
[tex]x \geq 15.7[/tex]
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
Inequality Form: 15.7
Hope this helps
HELP !! giving the brainlest answer to whoever gives the correct answer !! HELPPP PLLSS LAST MINUTEEE
Answer:
D
Step-by-step explanation: