Answer:
16
Step-by-step explanation:
10 + sqrt(y) = 14
Subtract 10 from each side
10 -10+ sqrt(y) = 14-10
sqrt(y) = 4
Square each side
(sqrt(y)) ^2 = 4^2
y = 16
Hello!
[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]
A is the answer.
Good studies!
guys, please help i can't move on
Answer:
15
Step-by-step explanation:
32-19 = 13 that have both
70-57= 13 that have both again from that sample
total number of people that have both : 13 + 13 = 26
11 kids don't have either one, so :
26-11 = 15
please help with this problem!
Answer:
Second option
Step-by-step explanation:
Let's assume that x is 1 and y is 3
a) [tex]\frac{1}{2}[/tex] < [tex]\frac{3}{2}[/tex] = true
b) -1 < -3 = false
c) 1+2 < 3+2 = true
d) 2 x 1 < 2 x 3 = true
Which is the correct form of the partial fraction decomposition for the expression StartFraction 4 x cubed + 3 x squared Over (x + 1) squared (x squared + 7) squared EndFraction?
Given:
The expression is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
To find:
The correct form of the partial fraction decomposition for the given expression.
Solution:
We have,
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
By partial fraction decomposition, it can be written as:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{A}{x+1}+\dfrac{B}{(x+1)^2}+\dfrac{Cx+D}{x^2+7}[/tex] ...(i)
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B}{(x+1)^2(x^2+7)}[/tex]
[tex]4x^3+3x^2=(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B[/tex]
[tex]4x^3+3x^2=x^3A+x^3C+x^2A+x^2B+2x^2C+x^2D+7xA+xC+2xD+7A+7B+D[/tex]
[tex]4x^3+3x^2=x^3(A+C)+x^2(A+B+2C+D)+x(7A+C+2D)+7A+7B+D[/tex]
On comparing both sides, we get
[tex]A+C=4[/tex]
[tex]A+B+2C+D=3[/tex]
[tex]7A+C+2D=0[/tex]
[tex]7A+7B+D=0[/tex]
On solving these equations, we get
[tex]A=\dfrac{23}{32},B=-\dfrac{1}{8},C=\dfrac{105}{32},D=-\dfrac{133}{32}[/tex]
Substituting these values in (i), we get
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Therefore, the required partial fraction decomposition is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Answer:
A on Edg
Step-by-step explanation:
got it right
On an electricity bill of $40.80, Mrs.
Miller pays only $38.76 because she pays
before a certain date. What percent
discount is Mrs. Miller allowed?
Answer:
100%_$40.80
? × _$38.76
Step-by-step explanation:
100%×$38.76÷$40.80=95%
Answer:
40.80
Step-by-step explanation:
HELPPP ME OUTTTTTT!!!!!!!
Answer:
3/5
Step-by-step explanation:
cos A = adjacent side / hypotenuse in a right triangle
cos A = 24/40
Cos A = 6/10
cos A = 3/5
SOMEONE HELP ME PLEASE
Answer:
9/10 or 90 %
Step-by-step explanation:
There are 54+27+5+4 total people = 90
The people with diploma is 54+27 = 81
P (diploma) = number with diploma / total
= 81/90
=9/10
90%
Which numbers are integers? Check all that apply.
04
-15
-10
2.5
0-4
0.13
ILL GIVE BRAINLIEST
Please help me with question a), b) and c). I have been trying for so long. (Show working), thank you.
Answer:
b)48 km/hr (12 km in .25 hrs)
c) avg speed: 60/3 = 20 km/hr
Step-by-step explanation:
a)
.5 18
.75 18
1 30
1.5 30
2 40
2.25 40
3 60
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs
Answer:
usual number of yellow eggs = 12
Usual maximum = 21
Usual minimum = 3
Step-by-step explanation:
To solve this, we will use the expected value of a binomial probability.
The formula is;
E(X) = np
Where;
n is sample size
p is probability of success.
We are given;
n = 58
p = 21%
Thus;
usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12
From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.
Thus;
USL = n(p + 3√(p(1 - p)/n)
USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)
USL = 21.48 ≈ 21
LSL = n(p - 3√(p(1 - p)/n)
LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)
LSL = 2.87 ≈ 3
A is 2 times older than B. Identify the appropriate expression.
Answer:
C. 2x
Step-by-step explanation:
Let
B's age = x years
A's age = 2 times older than B
= 2 * x
= 2x years
A's age = 2x years
For instance, if B's age is 17 years
Then,
A's age = 2x
= 2(17)
= 34 years old
Please help me with this
Answer:
A
Step-by-step explanation:
first answer gets marked brainliest!!!
Answer:
in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s
hope that helps ❤
18. The graph of f(x) = ax2 opens
upward and is narrower than the
graph of g(x) = x2. Which of the
following could be the value of a?
Travis makes and sells fishing lures. He
has 56 fishing lures that he is putting into
boxes. Each box can hold 5 fishing lures.
How many boxes can Travis fill
completely?
James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?
Last year He was 7 years old.
His father is 4 times the age 7 x 4 = 28
Last year his dad was 28, so this year he is 29.
Combined age this year = 29 + 8 = 37
51 - 37 = 14 years
14/ 2 people = 7 years
8 + 7 = 15
29 + 7 = 36
15 + 36 = 51
It will take 7 years.
Solve the inequality 4 is greater than n over -4
Answer:
4 > [tex]-\frac{n}{4}[/tex]
-16 > n
Step-by-step explanation:
Greater than would mean that the "arrow" is not facing the number. It would mean it is larger than the other number. Also, you have to construct the other part of the inequality which would be [tex]-\frac{n}{4}[/tex].
4×4 > [tex]-\frac{n}{4}[/tex]×4
16 > -n
-16 > n
HELP!!!!!
If anyone knows the answer please tell me as soon as possible!!
PLEASE!!!!
How to find the area of this figure pls?
Which statement about the annual percentage rate (APR) is true?
a.If you have good credit, you will get a higher APR.
b.If the APR is 5%, you will pay 5% of the balance per month.
c.The APR is not a good way to compare loans.
d.The APR helps compare loans with the same payback period, but with different monthly rates and different fees.
Answer:
d. The APR helps compare loans with the same payback period, but with different monthly rates and different fees.
Step-by-step explanation:
A loan can be defined as an amount of money that is being borrowed from a lender and it is expected to be paid back at an agreed date with interest.
Generally, the financial institution such as a bank lending out the sum of money usually requires that borrower provides a collateral which would be taken over in the event that the borrower defaults (fails) in the repayment of the loan.
An annual percentage rate (APR) is an amount of money paid as interest by borrowers or earned on loans by lenders such as banks, expressed as a percentage of the amount borrowed or invested over a 12-month period i.e on an annual basis.
Generally, the annual percentage rate (APR) helps compare loans with the same payback period, but with different monthly rates and different fees.
Answer:
A- If you have good credit, you will get a higher APR
Step-by-step explanation:
Kara Danvers (Supergirl) has always relied on her strength to win fights. But what happens when she meets an alien just as strong? Her sister is training her to be a more technical fighter so that Supergirl can meet any challenge. The data below record the significant strikes during randomly selected training sessions 6 months apart. Is Kara showing improvement in her fighting?
Strikes (pre): 29 32 44 34 19
Strikes (post): 51 45 68 92 64
Write the Hypotheses:
H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
Answer:
H0 : The mean difference in strikes between pre and post strike is equal to 0
H1 : The mean difference in strikes between pre and post strike is not equal to 0
Step-by-step explanation:
The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.
For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.
If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the fifth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
Step-by-step explanation:
So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.
Year 1 total: $2136.33
Year 2 total:$2173.29
Year 3 total:$2210.89
Year 4 total:$2249.14
Year 5 total:$2288.05
Total Paid After 5 years:$11057.70
Year 1 total interest:$36.33
Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91
Total Interest paid after 5 years:$188.05
Use the work shown below to find the simplified product
Given:
The expression is:
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
To find:
The simple product.
Solution:
We have,
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
It can be written as:
[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]
Cancel out the common factors.
[tex]=\dfrac{5\times x}{x+3}[/tex]
[tex]=\dfrac{5x}{x+3}[/tex]
Therefore, the correct option is C.
(1 x 10 ^ -3) ÷ (5 x 10 ^ 2) in standard form Plz ANSWER QUICK
Answer:
2 × 10⁻⁶
Step-by-step explanation:
( 1 × 10⁻³ ) ÷ ( 5 × 10² )
→ Rewrite into normal form
0.001 ÷ 500
→ Simplify
2 × 10⁻⁶
Answer:
[tex]\frac{1}{500,000}=2*10^{-6}[/tex]
Step-by-step explanation:
[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]
We have:
[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]
In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]
PLS how to do this 3 sums
Answer:
Step-by-step explanation:
7) PQ // RS, RQ is transversal
x = 38 {Alternate interior angles are congruent}
In ΔPQR ,
x + y + ∠P = 180 {Angle sum property of triangle}
38 + 90 + y = 180
128 + y = 180
y = 180 - 128
y = 52
9) Construct XY // AB
XY // AB & AC is transversal
∠1 = ∠4 ---------(I) {alternate interior angles are equal}
XY // AB & BC is transversal
∠3 = ∠5 ---------(II) {alternate interior angles are equal}
∠1 + ∠2 + ∠3 = 180 {straight line angles}
∠4 + ∠2 + ∠5 = 180 {From (I) & (II) }
Sum of three angles of triangle is 180.Hence proved.
Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand
Answer:
1) 44
a) 7 + 37
b) 3 + 41
c) 13 + 31
2) 36
a) 5 + 31
b) 7 + 29
c) 17 + 19
3) 24
a) 5 + 19
b) 7 + 17
c) 11 + 13
4) 18
a) 5 + 13
b) 7 + 11
Expressing the numbers as sum of two odd primes we have,
44 = 41+3 = 37+7 = 31+1336 = 31+5 = 29+7 = 23+13 = 19+1724 = 19+5 = 17+7 = 13+1118 = 13+5 = 11+7What is Prime Number?Prime numbers are numbers which are only divisible by 1 and itself.
Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...
What is Odd number?Odd numbers are numbers which are not divisible by 2.
Odd numbers are give by: 1,3,5,7,9,11,.....
2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.
So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....
Expressing the give numbers as the sum of odd prime numbers we get,
A) 44
41+3 = 44
37+7 = 44
31+13 = 44
B) 36
31+5 = 36
29+7 = 36
23+13 = 36
19+17 = 36
C) 24
19+5 = 24
17+7 = 24
13+11 = 24
D) 18
13+5 = 18
11+7 = 18
Learn more about Odd Prime Numbers here -
https://brainly.com/question/1593928
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Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Its on a number line :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV
Answer:
12
Step-by-step explanation:
because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12
The required value of the PV is 12 in triangle DEF where p is the incenter.
Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.
The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.
Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.
PW = PV
PV = 12
Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.
Learn more about incenter here:
https://brainly.com/question/27868922
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Need help!
8 ÷ 2 (2 + 2) =
Answer:
= 16
Step-by-step explanation:
= 8 \div 2 . 4
= 16
Answer:
[tex]8\div \:2\left(2+2\right)[/tex]
[tex]=8\div \:2\cdot \:4[/tex]
[tex]=16[/tex]
OAmalOHopeO
Solve the following word problems:
Answer:
His loss is 90
He sold it 1710
Step-by-step explanation:
1) 1800x5/100= 90
2) 1800-90=1710
Answer:
Step-by-step explanation:
CP = ₹1800
Loss = 5%
[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]
= ₹ 1710
Loss = CP - SP
= 1800 - 1710
= ₹ 90
please help! see question below :)
Answer:
I have no clue sorry bro.
