Step-by-step explanation:
[tex]3a + 2b + c = 3(7) + 2(5) + 5 \\ = 21 + 10 + 5 \\ = 36 \\ \sqrt{3a + 2b + c} = \sqrt{36} \\ = 6[/tex]
The square root of 3a + 2b + c is 6.
What is square root?The square root of a number is the factor that we can multiply by itself to get that number.
Now the given expression is,
3a + 2b + c
Now square root of 3a + 2b + c is given as,
√(3a + 2b + c)
Putting, a = 7, b = 5 and c = 5 in the given expression we get,
√(3a + 2b + c) = √(3*7 + 2*5 + 5)
Multiplying we get,
⇒ √(3a + 2b + c) = √(21 + 10 + 5)
Adding we get,
⇒ √(3a + 2b + c) = √36
Since, √36 = 6
Therefore,
⇒ √(3a + 2b + c) = 6
which is the required value of the square root.
Thus, The square root of 3a + 2b + c is 6.
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2. Jason can put his money in a savings account and earn about 12 cents in interest this month, or he can
loan it to Matt, who says he'll return the money plus $20 at the end of the month. He loans it to Matt.
a. The opportunity cost is
Answer:
12 cents
Step-by-step explanation:
opportunity cost of the next best option forgone when one alternative is chosen over other alternatives
by loaning matt the money he forgoes the opportunity to earn 12 cents in interest. this is his opportunity cost
Point B is a point of tangency. Find the radius r of OC.
А 9
B
r
n
Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex](6 + r)^{2}[/tex] = [tex]9^{2}[/tex] + [tex]r^{2}[/tex]
36 + 12r + [tex]r^{2}[/tex] = 81 + [tex]r^{2}[/tex]
collecting like terms,
12r = 81 - 36
12r = 45
r = [tex]\frac{25}{12}[/tex]
= 3.75
r = 3.75
The radius is 3.75.
Solve 9 ax + 10 ax = 11ax + 32 for x. Assume a ≠ 0
Can someone help
Answer:
x = 4/a
Step-by-step explanation:
8ax = 32
x = 4/a
What is the volume of this figure? 2in 9 in 5in 1in 8in
Answer:
bob
Step-by-step explanation:
8116 / 283 pls give me a good answer for this
Answer:
28 r 192
Step-by-step explanation:
8,116/283=28 r 192
283 times 28=7,924
8,116-7,924
i hope this help some
Please help me with this question! and tysm!
Answer:
272
Step-by-step explanation:
u do 68*4 because it said 4 times as henery
Hope this helps
Answer:
272
Step-by-step explanation:
4 times 68 = 272
What is the solution to the equation 2x+4-12-20?
X=0
x=1
X=2
X=9
Answer:
C : x=2
Step-by-step explanation:
Edge 2022
what is the next number of 1 2 6 17 47 ?
and how?!
2 , 6 , 17 , 47 , 108 , ...
t(n) = 2n^3 - 8.5n^2 + 15.5n - 7
The Next term of sequence is 2n³ - 8.5n²+ 15.5n - 7.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
Sequence:1 2 6 17 47
By looking at the sequence we have the formula
t(n) = 2n³ - 8.5n²+ 15.5n - 7
So, the next term of Sequence would be
t(6)= 2(6)³ - 8.5(6)²+ 15.5(6) - 7
t(6) = 108
Hence, the next term is 108.
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50 POINTS
ASAP ANSWER
Saba spent 2/3 of the pay from her Saturday job, on clothes.
She spent 1/6 in an internet café.
(i) What fraction did she spend in all? ( in simplest form)
(ii) What fraction is left with her?
Answer: (i) 5/6
(ii) 1/6
Step-by-step explanation:
Her money spent in clothes = 2/3
her money spent in internet cafe = 1/6
total fraction spent =
2/3 + 1/6
= 4+1/6
= 5/6
fraction left with her =
1 - (5/6)
= 1/6
Which equation has a slope of -1 and an x-intercept of (2,0)
Answer:
A (x+y=2)
Step-by-step explanation:
in order to see the slope value and to turn the equation into the slope-intercept form (y=mx+b). Basically we just solve for y and look at the coefficient of x. Then to see the value of the x-intercept we need to give y zero and then solve for x.
a) x+y=2
y=-x+2 (slope is -1)
when y=0 ; 0=-x+2 ; x=2 (x-int=2)
b) x-y=-2
y=x+2 (slope≠-1, it is +1 so this not the answer)
c) x+y=-2
y=-x-2 (slope is -1)
when y=0 ; 0=-x-2 ; x=-2 (x-int≠2 it is -2 so this not the answer)
d) x-y=2
y=x-2 (slope≠-1, it is +1 so this not the answer)
the answer is A (x+y=2)
Answer:
x + y = 2.
Step-by-step explanation:
Using the standard form
y = mx + b
the equation is
y = -1x + b
Now as the x intercept is (2, 0), x = 2 when y = 0 so:
0 = -1(2) + b
2 = b
b = 2
so we have
y = -x + 2
y + x = 2.
The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water. HELP I WLL GIVE THE CROWN THNG AND MORE POINTS
Answer:
I think its +10 above surface
1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Answer:
So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
Answer:
not safe it is 78.5 degrees
Step-by-step explanation:
Need help on this please
Answer:
12π
Step-by-step explanation:
Well the circumference of the circle can be found either by
c= 2rπ
or
c= dπ
In this case we can multiply the radius by 2
Then multiply that by π
12π
3.1.8 When conducting a two-sided test of significance, the value of the parameter under the null hypothesis is plausible and will be contained in a 95% confidence interval when: a. The p-value is less than or equal to 0.05. b. The p-value is greater than 0.05. c. There is no relationship between the p-value and the confidence interval.
Answer:
b. The p-value is greater than 0.05.
Step-by-step explanation:
When we are testing a hypothesis, we have to look at the pvalue.
If the pvalue is less than the significance level, the null hypothesis is not plausible. Otherwise, if the pvalue is more than the significance level, the null hypothesis is plausible.
In this question:
95% means that the significance level is of 1 - 0.95 = 0.05.
Null hypothesis being plausible means that the pvalue is greater than the significance level, that is, greater than 0.05. So the correct answer is given by option b.
For a triangle to be classified as equilateral, what must all three angles measure? Do not include the degree symbol in your
answer.
Answer:
I think the answer is 60.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Simplify the following expressions and remember to pay attention to the signs
( -14) - ( -53) =
(18) - ( -2) =
( -84) / ( 12) =
(25) * (2) =
Answer:
(-14)-(-53) = 39
18-(-2)=20
(-84)/(12)=-7
25*2=50
Step-by-step explanation:
two minuses are plus
when numbers are on the minuses which number is higher their sign will have an answer
Answer:
A. 39
B. 20
C. -7
D. 50
Step-by-step explanation:
A. ( -14) - ( -53) =
53 - 14 = 39
B. (18) - ( -2) =
18 + 2 = 20
C. ( -84) / ( 12) =
-84/12 = -7
D. (25) * (2) =
25(2) = 50
Please help if u know
Answer:
not sure but i think the answer is a)
Carpet King is trying to increase sales, and it has instituted a new promotion. All purchases can be
paid on the installment plan with no interest, as long as the total is paid in full within six months.
There is a $20 minimum monthly payment required. If the Schuster family buys carpeting for $2,134
and makes only the minimum payment for five months, how much will they have to pay in the sixth
month?
Answer:
The Schusters will have to pay $2,034 in the sixth month.
Step-by-step explanation:
Since Carpet King is trying to increase sales, and it has instituted a new promotion by which all purchases can be paid on the installment plan with no interest, as long as the total is paid in full within six months, and there is a $20 minimum monthly payment required, if the Schuster family buys carpeting for $2,134 and makes only the minimum payment for five months, to determine how much will they have to pay in the sixth month, the following calculation must be performed:
2134 - (5 x 20) = X
2134 - 100 = X
2034 = X
Therefore, the Schusters will have to pay $ 2,034 in the sixth month.
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
l7l000heb java sis Skye eleven die die e she ie e right r
Step-by-step explanation:
hdhsv sjsuebso issue s s9s s si
Answer:
5520
Step-by-step explanation:
18×40÷2=360
48×41=1968
48×18=864
360+360+1968+1968+864=5520
who wanna be a goat and help a girl out by answering this thank yuuu
Answer and Step-by-step explanation:
1. A goat?
2.
So, the first triangle has a side length of 6 and x, and the bigger triangle has a side length of 10 and 11.
We divide 10 by 6 to find the scale factor, then divide 11 by that number.
10 ÷ 6 = [tex]\frac{5}{3}[/tex]
[tex]\frac{11}{\frac{5}{3} } = x\\\\\\11 * \frac{3}{5} = x\\\\\\\frac{33}{5}[/tex]= x
So, the answer is B. 6.6 because 33 divided by 5 is 6.6 (the value of x).
#teamtrees #PAW (Plant And Water)
The National Survey on Drug Use and Health also reported that 21% of males in the same age group (12-20) are binge drinkers. Suppose that in addition to the 10 randomly chosen females, a random sample 10 males from the same age group is chosen (to a total of 20). Let the random variable Y be the total number of males and females (out of 20) who are binge drinkers. Which of the following is true regarding the random variable Y?
a. Y has a binomial distribution with n-60 and p.16
b. Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.
c. Y has a binomial distribution with n-60 and p .31
d. Y does not have a binomial distribution since the number of trials n is not fixed.
e. Y does not have a binomial distribution since the trials are not independent.
Answer:
Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.
Step-by-step explanation:
For a binomial distribution, condition required include :
A fixed number of trials ; Here the number of trials is 20 ; hence, this condition is met.
Each trial must be independent : yes, it is independent as a selected individual could either be a binge drinker or not. The outcome of each trial is either a success or a failure ; being a drinker or not.
However, the probability of being a binge drinker (that is probability of success) could vary for male and female. The probability of male being a binge drinker is 0.21 while that if female isn't specified, this probability, p value should be the same for all trials. Hence, with this value not being the same for all trials, the binomial probability condition is violated.
HELP ME QUICK PLSSS (BTW DUE TODAY!)
Answer:
Part A: He can use distance formula. The formula is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Part B: 41.63 (rounded to nearest hundredth)
Step-by-step explanation:
Plug this into the formula. First, subtract the numbers in the parentheses. Then, square them. Add those totals together. Lastly, take the square root using a calculator.
I need help please!!!
Answer: 15a+8b
Step-by-step explanation:
Answer:
15a + 8b
you multiply 2 by the numbers in the parantasis so our new equasion will be 10a + 6b +5a +2b. You can only add numbers that have THE SAME VARIABLE. So 10a+5a=15a and 6b+2b=8b so our answer is 15a+8b
could someone help asap!
The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 210 years?
Answer:
75.03
Step-by-step explanation:
1690 40
210 x
1690x = 210 * 40
x = (210 * 40)/ 1690
x = 4.97041420118
80 - 4.97 = 75.03
A rectangular shoebox is 15 1⁄2 inches long, 7 inches wide, and 4 1⁄2 inches tall. What is the volume of the shoebox?
Answer:
Step-by-step explanation:
V = l * w * h for a rectangular prism
15.5*7*4.5=488.25
you deposit $1600 in a bank account. find the balance after 3 years if the account pays 1.75% annual interest compounded quarterly
9514 1404 393
Answer:
$1686.05
Step-by-step explanation:
The amount with compound interest is ...
A = P(1 +r/n)^(nt)
for principal P earning annual rate r compounded n times per year for t years.
A = $1600(1 +0.0175/4)^(4·3) = $1686.05
The balance after 3 years is $1686.05.
Answer:
the answer is $1686.05
Step-by-step explanation:
:))
(1 point) Find a formula for the nth term in the sequence: 17,−17/8,17/27,−17/64,17/125,…
Given:
The sequence is:
[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]
To find:
The formula for the nth term in the given sequence.
Solution:
We have,
[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]
The given sequence can be written as
[tex]\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...[/tex]
The sign are alternative and the absolute value of each term can be defined by the expression [tex]\dfrac{17}{n^3}[/tex], where n is a natural number.
So, the required formula is:
[tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex]
Therefore, the formula for nth term in the given sequence is [tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex].