All categories

3 years ago

An expression is shown

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

5 0

Answer:

Step-by-step explanation:

Adding the expressions in the numerator, we get:

6·10^(-5).

Then the given fraction appears like:

6·10^(-5)

-------------

3·10^7

First, we reduce 6/3, obtaining 2:

10^(-5)

2 -------------

10^(7)

Since the bases are the same, we can rewrite these exponentials with that base (10) and single exponent 12, which is the sum of 5 and 7 and is in the denominator:

---------

10^12

This matches the second possible answer choice.

You might be interested in

We are two integers whose product is -36 and whose sum is -16 what are we?

SCORPION-xisa [38]

-18 and +2
;;;;;;;;;;;;;;;;;;

6 0

2 years ago

Eric randomly surveyed 150 adults from a certain city and asked which team in a contest they were rooting for, either North Hig

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

A 95% confidence level interval will have 0.52 (lower interval) & 0.68 (upper interval) which means that that if 90 individuals root for North HS then p value is 0.6 which will fall in the 95% confidence interval range.
For the option B the p value will also be same as in case A hence B is true as an alternative hypothesis.
We can calculate P value

Confidence Interval = p ± z $\sqrt{p(1-p)/n}$

4 0

3 years ago

what is f(x) = 2x2 28x – 5 written in vertex form? f(x) = 2(x 7)2 – 19 f(x) = 2(x 7)2 – 103 f(x) = 2(x 14)2 – 14 f(x) = 2(x 14)2

polet [3.4K]

Hello,
++++++++++++++++++++++
Answer B
++++++++++++++++++++++

2x²+28x-5=2(x²+2*7x+49)-5-2*48
=2(x+7)²-103

++++++++++++++++++++++++++++++

4 0

3 years ago

Read 2 more answers

If sinA =3/5 and A+B =90 find cosB

-Dominant- [34]

$A+B=90^o\to B=90^o-A\\\\\cos B=\cos(90^o-A)=\cos90^o\cos A+\sin90^o\sin A\\\\=\cos A+1\cdot\dfrac{3}{5}=0+\dfrac{3}{5}=\dfrac{3}{5}\\\\\boxed{\cos B=\dfrac{3}{5}}$

$Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1$

Other method:

Look at the picture.

$\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\sin A=\dfrac{3}{5}\to opposite=3\ and\ hypotenuse=5$

$\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\adjacent=3\ and\ hypotenuse=5\to\cos B=\dfrac{3}{5}$

8 0

2 years ago

A number, x, rounded to 1 decimal place is 3.7<br> Write down the error interval for x.

mart [117]

Answer:

The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 0.1 unit so the error is half of 0.1 which is 12⋅0.1=0.05

⋅0.1=0.05. Since 3.7+0.05=3.753.7+0.05=3.75 and 3.7−0.05=3.653.7−0.05=3.65, then the error interval is \boxed{3.65\le x<3.75}.

Step-by-step explanation:

7 0

2 years ago