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3 years ago

What is the simplified form of the following expression?a. (34)3b. 7[62 ÷ (52 − 42) + 8]

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

6 0

Answer:

a.) 102 b.) 99.4

Step-by-step explanation:

a. 34 x 3 = 102

b. 7[62 ÷ (52 − 42) + 8] = $\frac{497}{5}$ or $99\frac{2}{5}$ or 99.4

KiRa [710]3 years ago

5 0

102 would be the first answer

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*HELP ASAP*

k0ka [10]

Using unit concepts, it is found that:

a) Grams.
b) Grams.
c) Grams squared.
d) Grams squared.

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

For a data-set, the standard deviation has the same unit as the data-set, both for the sample and the population.
The variance has the unit squared, both for the sample and the population.
For example, if the data-set is in metres, the standard deviation will be in metres while the variance will be in squared metres.

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

In this question, the data-set is in grams.

The standard deviation, both for the sample and the population, in items a and b, will be in grams.
The variance, both for the sample and the population, in items c and d, will be in grams squared.

A similar problem is given at brainly.com/question/14524219

5 0

3 years ago

Please help I don’t know the answer :(

gogolik [260]

Answer:

When x=8, y=-6. When x=10, y=0

Step-by-step explanation:

$y=3x-30\\x^2+y^2=100$

You can plug the given y value into the second equation to get:

$x^2+(3x-30)^2=100\\x^2+9x^2-180x+900=100\\10x^2-180x+800=0\\10(x^2-18x+80)=0\\10(x-8)(x+10)=0\\x= 8, 10\\y= -6, 0$

Hope this helps!

6 0

3 years ago

Read 2 more answers

Sonya drops a marble while standing on a deck 7 7/8 feet above the ground. The marble falls 4 1/4 feta from Sonya's hand to the

Greeley [361]

Answer:

$12\dfrac{1}{8}\ feet$

Step-by-step explanation:

Sonya drops a marble while standing on a deck $7 \dfrac{7}{8}$ feet above the ground.

The marble falls $4 \dfrac{1}{4}$ feet from Sonya's hand to the deck, and then rolls and falls to the ground.

So, the ball falls $4 \dfrac{1}{4}$ feet from Sonya's hand to the deck and $7 \dfrac{7}{8}$ from the deck to the ground, in total

$4\dfrac{1}{4}+7\dfrac{7}{8}=4\dfrac{2}{8}+7\dfrac{7}{8}=(4+7)+\dfrac{2+7}{8}=11+\dfrac{9}{8}=11+1\dfrac{1}{8}=12\dfrac{1}{8}\ feet$

8 0

3 years ago

Read 2 more answers

A number t<br> multiplied by −4<br> is at least −25<br> .

Olin [163]

+7 would be the answer i believe

6 0

3 years ago

Read 2 more answers

About 33% of people who get their feet examined are found to have an ingrown toenail. What is the probability of a podiatrist ex

enot [183]

Answer:

The correct answer is 0.94147

Step-by-step explanation:

Let A denote the event that the podiatrist finds the first person with an ingrown toenail.

And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.

While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:

= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.

= $\frac{1}{3} + \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} .$

= $\frac{1}{3} + \frac{2}{3} \frac{1}{3} + (\frac{2}{3}) ^{2} \frac{1}{3} + (\frac{2}{3})^{3} \frac{1}{3} + (\frac{2}{3})^{4} \frac{1}{3} + (\frac{2}{3})^{5} \frac{1}{3} + (\frac{2}{3})^{6} \frac{1}{3}.$

= 0.94147

We can also solve the above expression by using the geometric progression formula as well where common ratio is given by $\dfrac{2}{3}$ .

8 0

3 years ago