The ratio of Seema's age to the age of her mother is 5:12. The age difference is 21 years. What will be the ratio of Seema's age and her mother's age after three years?

Given:

On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex].

To find:

The value of [tex]\theta[/tex].

Solution:

If the terminal point of θ is (x,y), then

[tex]\tan \theta=\dfrac{y}{x}[/tex]

On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex]. So,

[tex]\tan \theta=\dfrac{\dfrac{\sqrt{2}}{2}}{\dfrac{\sqrt{2}}{2}}[/tex]

[tex]\tan \theta=1[/tex]

[tex]\tan \theta=\tan \dfrac{\pi}{4}[/tex]

[tex]\theta=\dfrac{\pi}{4}[/tex]

Therefore, the correct option is D.

Answer:

b=x+1

Step-by-step explanation:

The equation is:

[tex]2x^2}+x-1=\frac{1}{2} b(4x-2)[/tex]

Isolate b by subtracting and dividing.

You end up with b= x+1

.................................

Answer:

[tex]a^3b^2c^6[/tex]

Step-by-step explanation:

[tex]n^x*n^y=n^{x+y}[/tex]

so

[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]

[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]

[tex]c^4*c^2=c^{4+2}=c^6[/tex]

put it all together

[tex]a^3b^2c^6[/tex]

(v^3)(w^-3) / (-v^-6)(w^3)

(-v^9)(w^-3) / (w^3)

(-v^9)(w^-6)

ANSWER: Option 4

Hope this helps!

Answer:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Step-by-step explanation:

We want to write an expression for the phrase: "x increased by 10 divided by 4."

If x is being increased by 10, the expression is:

[tex]x+10[/tex]

And if it is then divided by 4, we can place the entire expression over four. Hence:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Our expression is:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Answer:

300

Step-by-step explanation:

If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500

Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.

Answer:

B. $300

Step-by-step explanation:

annual : yearly

$125 per month for 12 months

125(12) = 1500

$1500 equally split among 5 branches

1500/5 = 300

Each of the 5 branches contributes $300 each per year to Jan's cell phone bill.

124

4×23 =92(for cats)

4×8=32(for dogs)

then 92+32=124

Answer:

[tex]\frac{7}{15}[/tex]

Step-by-step explanation:

To find the reciprocal of a fraction, simply switch the numerator and denominator.

Since [tex]2\frac{1}{7}[/tex] is a mixed number, start by converting it to a common fraction using [tex]a\frac{b}{c}\implies \frac{a \cdot c+ b}{c}[/tex]

Therefore, [tex]2\frac{1}{7}[/tex] as a common fraction is:

[tex]\frac{2\cdot 7+1}{7}=\frac{14+1}{7}=\frac{15}{7}[/tex]

Now switch the numerator and denominator to find the reciprocal:

[tex]\rightarrow \boxed{\frac{7}{15}}[/tex]

Answer:

7/15

Step-by-step explanation:

2 1/7 is 2*7+1/7 = 15/7. The reciprocal of this would happen if you flip it upside down. Thus, the reciprocal is 7/15.

Answer: 13

Step-by-step explanation:

Take 7 to the other side and divide 91 by 7, the answer will be 13.

Answer:

g = At/60

Step-by-step explanation:

A = 60(g/t)

To solve for 'g'

Open the bracket

A = 60g/t

Multiply both sides by t

At = 60g

Divide both sides by 60

At/60 = 60g/60

At/60 = g

Answer:

the answer will be 1 on the basis of the option

Step-by-step explanation:

and other are 7 5

Answer:

yes I think 6 is correct.

Answer:

50%

Step-by-step explanation:

1. determine the monthly interest rate

monthly interest rate = interest / loan amount

monthly interest = 25 / 600 = 4.17%

2, multiply the monthly interest rate by 12 to determine the annual interest rate

Annual interest = 4.17 x 12 = 0.5 = 50%

Use the Chinese remainder theorem.

Start with x = 3×5 + 2×7 = 15 + 14 = 29. Now,

• 29 ≡ 15 ≡ 1 (mod7)

• 29 ≡ 14 ≡ 4 (mod5)

Adjust for this by multiplying the first term in x by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).

So now x = 3×5×3 + 2×7×3 = 45 + 42 = 87, and

• 87 ≡ 45 ≡ 3 (mod7)

• 87 ≡ 42 ≡ 2 (mod5)

The CRT then says that x ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number x = 87 + 35n satisfies both congruences (where n is any integer).

So there are 3 possible 2-digit numbers that work: {17, 52, 87}.

To confirm:

• 17 ≡ 15 + 2 ≡ 2 (mod5) and 17 ≡ 14 + 3 ≡ 3 (mod7)

• 52 ≡ 50 + 2 ≡ 2 (mod5) and 52 ≡ 49 + 3 ≡ 3 (mod7)

• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)

Step-by-step explanation:

her it go u can see it.. have a nice Day

The statement that is true about the quadratic equation is (b) There are two complex solutions.

From the question, we have the following parameters that can be used in our computation:

y = 12 – 11x + 7

Express properly

So, we have

y = 12x² – 11x + 7

Next, we calculate the discriminant using

d = b² - 4ac

Where

a = 12

b = -11

c = 7

Substitute the known values in the above equation, so, we have the following representation

d = (-11)² - 4 * 12 * 7

Evaluate

d = -215

This value is less than 0

This means that it has complex solutions

Read more about quadratic functions at

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Answer:

C

Step-by-step explanation:

I have attached graphs of all the equations below

A starts off increasing so it cannot be it

B is increasing after some point, so doesn't work

C works

D has a constant y after some point, so doesn't work (not increasing or decreasing)

therefore: C is the correct answer

1. Because if you have a plan early then you can start saving early, which increases the amount you will have. The future is also unpredictable

2. Set aside money over a set period (put aside money each month, year). You can set up a plan through your employer ie 401K, or set up an individual retirement plan (IRA). Your employer takes a percentage you choose out of your check each month (commonly 3%, 5%, %10, 15%). The money is taken from your paycheck before taxes therefore it lowers your income and you pay less in taxes. An IRA is similar to a bank account as you choose when and how much you put in over time. Both can be withdrawn at 59 1/2.

3. Compound interest essentially earns you more money for retirement. It can be important because you earn more than with regular interest.

4. Start balancing expenses, make a plan for retirement and practicing saving. It would also be beneficial to start setting aside money for retirement even if you haven't opened an account yet.

5. Make sure you can comfortably live off of your retirement. If you can't it would be best to maximize your retirement and savings, or consider working seasonally or part-time

I hope it's right have a great day :)

Answer:

1.94 mm

Step-by-step explanation:

V = pi(r^2)h

V/pi(h) = r^2

r = sqrt(V/pi(h))

r = sqrt(200/pi(17))

r = 1.94 mm

Answer:

D 111.4 cm²

Step-by-step explanation:

Answer:

Min = -16; max = 0

Step-by-step explanation:

I plotted the inequalities for the constraints (see pic).

Sub in the coordinates of the vertices into the optimisation equation.

z = -(-4) + 5(-4) = -16

z = 0

z = -3 + 5(-1) = -8

Therefore, the max value of z is 0, and the min value is -16

Answer:

x = 9

Step-by-step explanation:

we can plug in the given value for y into the equation to find x

2x + 3y = 36

2x + 3(6) = 36

2x + 18 = 36

2x = 18

x = 9

Answer:

x = 9

Step-by-step explanation:

2x + 3y = 36

Let y=6

2x+3(6) = 36

2x+18 = 36

Subtract 18 from each side

2x+18-18 =36-18

2x = 18

Divide by 2

2x/2 =18/2

x = 9

Answer:

Last option

-10x³ + 2x - 8

is the answer

HOPE IT HELPS YOU

Answer:

c) ( x-15)/-8

Step-by-step explanation:

c) (x-15) / -8

Answer:

Solution given:

y = -8x + 15

interchanging role of x and y

we get

x=-8y+15

solve for y

x-15=-8y

divide both side by-8

we get

-8y/-8=(x-15)/-8

y=(x-15)/-8

:.

C. y = (x - 15)/-8 is a required inverse.

Answer:

See below.

Step-by-step explanation:

1. h

2. g

3. a

4. f

5. c

6. b

7. e

8. (17 * 5) * 2 = 17 * (5 * 2) = 17 * 10 = 170

9. 700 + 137 + 300 = 700 + 300 + 137 = 1137

10. $0.25 + $2.69 + $4.75 = $0.25 + $4.75 + $2.69 = $7.69

11. -8 + 57 + 18 = 18 - 8 + 57 = 10 + 57 = 67

12. 26 + 19 + 14 = 20 + 6 + 19 + 10 + 4 =

= 20 + 10 + 6 + 4 + 19

= 30 + 10 + 10

= 40 + 19

= 59

An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The expression is;

[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]

At the beginning of 9-year value of n is 9,substitute the value to get he amount;

[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]

Hence, option D is corect.

To learn more, about equations, refer;

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