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3 years ago

Find the sum. Express the answer in scientific notation. (6.8 x 103) + (2.6 x 105)

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Answer: multiply the numbers---

700.4+(2.6*105) = 700.4+273

973.4 the answer

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I'm rather stuck on this question

White raven [17]

Answer:

m<a = 30°

m<b = 90°

m<c = 60°

Step-by-step explanation:

Angles a, b, and c are all angles on a straight line.

Angles on a straight line add up to 180°.

Therefore, a + b + c = 180°

Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:

Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°

m<a = $\frac{1}{6} * 180 = 30$

m<b = $\frac{3}{6} * 180 = 90$

m<c = $\frac{2}{6} * 180 = 60$

8 0

3 years ago

The first three terms of an arithmetic series are 6p+2, 4p²-10 and 4p+3 respectively. Find the possible values of p. Calculate t

Doss [256]

Answer:

First Case:

$\displaystyle p=\frac{5}{2}\text{ and } d=-2$

Second Case:

$\displaystyle p=-\frac{5}{4}\text{ and } d=\frac{7}{4}$

Step-by-step explanation:

We know that the first three terms of an arithmetic series are:

$6p+2, 4p^2-10, \text{ and } 4p+3$

Since this is an arithmetic sequence, each subsequent term is d more than the previous term, where d is our common difference.

Therefore, we can write the second term as;

$4p^2-10=(6p+2)+d$

And, likewise, for the third term:

$4p+3=(6p+2)+2d$

Let's solve for d for each of the equations.

Subtracting in the first equation yields:

$d=4p^2-6p-12$

And for the second equation:

$2d=-2p+1$

To avoid fractions, let's multiply the first equation by 2. Hence:

$2d=8p^2-12p-24$

Therefore:

$8p^2-12p-24=-2p+1$

Simplifying yields:

$8p^2-10p-25=0$

Solve for p. We can factor:

$8p^2+10p-20p-25=0$

Factor:

$2p(4p+5)-5(4p+5)=0$

Grouping:

$(2p-5)(4p+5)=0$

Zero Product Property:

$\displaystyle p_1=\frac{5}{2} \text{ or } p_2=-\frac{5}{4}$

Then, we can use the second equation to solve for d. So:

$2d_1=-2p_1+1$

Substituting:

$\begin{aligned} 2d_1&=-2(\frac{5}{2})+1 \\ 2d_1&=-5+1 \\ 2d_1&=-4 \\ d_1&=-2\end{aligned}$

So, for the first case, p is 5/2 and d is -2.

Likewise, for the second case:

$\begin{aligned} 2d_2&=-2(-\frac{5}{4})+1 \\ 2d_2&=\frac{5}{2}+1 \\ 2d_2&=\frac{7}{2} \\ d_2&=\frac{7}{4}\end{aligned}$

So, for the second case, p is -5/4, and d is 7/4.

By using the values, we can determine our series.

For Case 1, we will have:

17, 15, 13.

For Case 2, we will have:

-11/2, -15/4, -2.

8 0

3 years ago

The polygons that make up a solid are called its

SVETLANKA909090 [29]

Answer:

Faces

Explanation:

I'm not sure how to explain it but imagine looking at a soccer ball with a smiley face drawn on it. I mean thats its definition its hard to explain it without using its word in a sentence.

7 0

4 years ago

Read 2 more answers

Linda is playing a game where she is trying to draw a diamond from a standard deck of cards. If she doesn't get a diamond, she r

atroni [7]

Answer:

The answer would be 0.2%

Step-by-step explanation:

There's 52 cards in a standard deck of cards and a set of 4 for each different symbol. 100% of the deck would be 52 cards and each deck has 4 suits and each suite has 13 cards and 75% of the cards aren't the diamond Linda is looking for so it would be a slim to none chance on pulling a diamond out of the deck and shuffling the deck each time makes it worse so it gives her like a 0.2% chance of pulling a diamond.

Hope this helps :))

7 0

3 years ago

Read 2 more answers

Emily has a box where she stores her toys, the box has a height of 24 inches, a length of 40 inches, and a width of 10 inches. W

emmainna [20.7K]

Answer:

Step-by-step explanation:

Volume of box = length * width * height

= 40 * 10 * 24

= 9600 cubic inches

5 0

4 years ago