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Margarita [4]
3 years ago
7

If a cross country runner covers a distance of 287 meters in 154 seconds what is her speed?

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

1.86

Step-by-step explanation:

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Solve for y 16y^2-25=0
Pepsi [2]

Answer:

\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

Step-by-step explanation:

16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}

METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

7 0
3 years ago
Read 2 more answers
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase?
lutik1710 [3]

Answer:

Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\

=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000

Therefore original price = $580,000

3 0
3 years ago
HELP ME!!! Then I will help you on a question.
Firlakuza [10]

Answer:

$150

Step-by-step explanation:

Let the account earns 5% APR as simple interest for the invested principal.

Now, the formula of simple interest gives that,

A = P(1 + \frac{rt}{100}), where A is the final amount, P is the principal amount invested, r is the % of interest and t is the number of years for which the principal is invested.

So, the interest earned will be given by, I  = P \times \frac{rt}{100}

Hence, in our case, $300 is invested for 10 years at a simple interest of 5%. So,  I = 300\times \frac{5 \times 10}{100} = 150 dollars.

Therefore, the amount of interest earned will be $150. (Answer)

5 0
3 years ago
Can anyone help me? Which function is graphed on the right?
Kazeer [188]
<h2>Answer:</h2>

y=2^{\left(x-2\right)}+3

<h2>Step-by-step explanation:</h2>

To solve this problem, we need to start with the parent function of the exponential function, which is f(x)=a^x, where a is the base. In our problem, a=2, so our parent function here is y=2^x. Then, we need to perform some transformations to our parent function. Thus:

1. Vertical shrink:

A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:

g(x)=cf(x)

where c in this problem equals 0.25 because:

y=0.25(2^x) \\ \\ y=\frac{1}{4}(2^x) \\ \\ y=\frac{2^x}{2^2} \\ \\ y=2^{(x-2)}

2. Vertical shift:

The graph of the function y=2^{(x-2)} get a vertical shift given by:

y=2^{(x-2)}+3

So the graph is shifted 3 units up. So the result is the graph shown above.

7 0
3 years ago
Read 2 more answers
-8x - 4y = -24 <br><br> -3x + 7y =25<br><br>Solve.
andre [41]

Answer:

I need the right problem.

Please read the whole thing.

Step-by-step explanation:

Hi. For this problem you are going to combine like terms.

For these problems, if you need any more help, you can search up algebra calculators on google.

I tried the problem and it said that there was too many equal signs. So, I would check to see if you asked this question correctly. I would ask your teacher.

Stay safe during these times,

The guy who tired to answer your question

5 0
3 years ago
Read 2 more answers
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