Solve The Equation Below

Solve The Equation Below

Answers

Answer 1

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

Answer 2

Hello!

[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]

A is the answer.

Good studies!


Related Questions

Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV

Answers

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.

What is incenter?

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:
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Please help me with question a), b) and c). I have been trying for so long. (Show working), thank you.

Answers

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

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?

Answers

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.

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?

Answers

Answer:

100%_$40.80

? × _$38.76

Step-by-step explanation:

100%×$38.76÷$40.80=95%

Answer:

40.80

Step-by-step explanation:

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

Solve the following word problems:​

Answers

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

How to find the area of this figure pls?

Answers

6 x 10 should be the answer

Need help!
8 ÷ 2 (2 + 2) =

Answers

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

please help with this problem!

Answers

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

guys, please help i can't move on

Answers

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

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?

Answers

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

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.

Answers

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:

please help! see question below :)

Answers

Answer:

I have no clue sorry bro.

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 _______________

Answers

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.

Use the work shown below to find the simplified product

Answers

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

Answers

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]

SOMEONE HELP ME PLEASE

Answers

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%

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?

Answers

11 boxes.

Explanation:
You divide 56 by 5 which will give you 11.2. Round down and you will get 11.

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.

Answers

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 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 :)

Answers

-5 and 1 because (x+5)=0 so x is -5 and (x-1)=0 so x is 1

Answer:

Step-by-step explanation:

Hope this Helps ;)

A is 2 times older than B. Identify the appropriate expression.

Answers

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

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

Answers

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

first answer gets marked brainliest!!!

Answers

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 ❤

PLS how to do this 3 sums

Answers

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.

Solve the inequality 4 is greater than n over -4

Answers

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

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?

Answers

a could be any value less than 1

HELPPP ME OUTTTTTT!!!!!!!

Answers

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

HELP!!!!!
If anyone knows the answer please tell me as soon as possible!!
PLEASE!!!!

Answers

Trapezoid, plot the points down on a graph

Which numbers are integers? Check all that apply.
04
-15
-10
2.5
0-4
0.13
ILL GIVE BRAINLIEST

Answers

Answer:
04
-15
-10
Integers cant be fractions, decimal amounts, or expressions
04,-15,-10 -4
Reason: integers cannot be mixed numbers/decimals

Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand

Answers

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+7

What 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 -

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