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4 years ago

HELP ASAP

Mathematics

2 answers:

Debora [2.8K]4 years ago

4 0

Just multiply 14 3/7 by 6 to get your answer.

Alik [6]4 years ago

3 0

Multiply 14 over 7 to get the number as one fraction. after adding three to that product, you get 101/7. Multiply that by 6/1 to get 606/7, then divide 606 by 7 to get 86 4/7 hours every 6 months.

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andreev551 [17]

Answer:

i dont know this language

Step-by-step explanation:

5 0

3 years ago

HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)

meriva

Given:

x-intercepts of the hyperbola are ±4.

The foci of hyperbola are $\pm 2\sqrt{5}$ .

Center of the hyperbola is at origin.

To find:

The equation of the hyperbola.

Solution:

The general equation of a hyperbola:

$\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$ ...(i)

Where, (h,k) is the center of the hyperbola, ±a are x-intercepts, $(\pm c,0)$ are foci.

Center of the hyperbola is at origin. So, h=0 and k=0.

x-intercepts of the hyperbola are ±4. So,

$\pm a=\pm 4$

$a=4$

The foci of hyperbola are $\pm 2\sqrt{5}$ .

$\pm c=\pm 2\sqrt{5}$

$c=2\sqrt{5}$

We know that,

$a^2+b^2=c^2$

$(4)^2+b^2=(2\sqrt{5})^2$

$16+b^2=20$

$b^2=20-16$

$b^2=4$

Taking square root on both sides, we get

$b=\sqrt{4}$ [b>0]

$b=2$

Substituting $h=0,k=0,a=4,b=2$ in (i), we get

$\dfrac{(x-0)^2}{4^2}-\dfrac{(y-0)^2}{2^2}=1$

$\dfrac{x^2}{4^2}-\dfrac{y^2}{2^2}=1$

Therefore, the correct option is (d).

4 0

3 years ago

What’s the expression for “seven times x is no more than 15”

Andru [333]

The answer is 7x≤15 because 7 times x (7x) can't be greater than 15, so the inequality would be less than or equal to because it had to be less than or equal to 15.

7x≤15

8 0

4 years ago

Lin decides to solve the equation using the quadratic formula. Here is her work: xxx=−b±b2−4ac−−−−−−−√2a=−(−6)±(−6)2−4(1)(10)−−−

Sedbober [7]

Answer:

$x = 3 + i\ or\ x = 3 - i$

Step-by-step explanation:

Given

$x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}$

Required

Solve, in terms of i

We have:

$x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}$

Solve the expressions in bracket

$x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}$

$x = \frac{-(-6) \± \sqrt{-4}}{2}$

Express -4 as 4 * -1

$x = \frac{-(-6) \± \sqrt{-4*1}}{2}$

Split

$x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}$

In complex numbers;

$i = \sqrt{-1$

So, we have:

$x = \frac{-(-6) \± 2*i}{2}$

$x = \frac{6 \± 2i}{2}$

Factorize

$x = \frac{2(3 \± i)}{2}$

$x = 3 \± i$

Split

$x = 3 + i\ or\ x = 3 - i$

7 0

3 years ago

Nicky opened a savings account with a single deposit of R1 000 on 1 April 2011. She

ra1l [238]

The amount that should be in Nickey's savings account immediately after her last deposit on September 30, 2012, using the future value concept, is <u>R15,282.91</u>.

<h3>What is the future value?</h3>

The future value refers to the compounded value (at an interest rate) of the present value, including the periodic cash investments, over a period.

The future value can be determined using either the future value formula, future value table, or an online finance calculator, as below.

<h3>Data and Caluclations:</h3>

N (# of periods) = 18 months

I/Y (Interest per year) = 15%

PV (Present Value) = R1,000

PMT (Periodic Payment) = R 700

Results

FV = R15,282.91 (R12,600 + R1,000 + R1,682.91)

Sum of all periodic payments = R12,600 (R700 x 18)

Total Interest = R1,682.91

Thus, the amount that should be in Nickey's savings account immediately after her last deposit on September 30, 2012, using the future value concept, is <u>R15,282.91</u>.

Learn more about determining future values at brainly.com/question/24703884

#SPJ1

3 0

2 years ago