20 POINTS!! (see attached image)

14 + 28 + 42 + 56 + … 280

= 14 (1 + 2 + 3 + 4 + … + 20)

= 14 × 20 × 21 / 2

= 2940

where we use the well-known identity,

[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]

Answer:

diagram pls

then I can answer this question

Answer:

Exponential notation is a powerful way to express repeated

multiplication of the same number. Specifically, powers of 10

express very large and very small numbers in a manner which is

convenient to read, write and compare.

• For any non-zero integer a, a–m 1

m a

=

• Laws of exponents are

(a) am × an = am+n

(b) am ÷ an = am–n

(c) (am)

n = amn

(d) am × bm = (ab)

m

(e) a° = 1, where a ≠ 0

(f)

m m

m

a a

b b

  =   

• Numbers can be expressed in expanded form by using exponents.

• Very large and very small numbers can be expressed in standard

form.

• Standard form is also called scientific notation form.

Step-by-step explanation:

Example 1 : Multiplicative inverse of 27 is

(a) 2–7 (b) 72 (c) – 27 (d) – 27

Solution : The Correct answer is (a).

Example 2 : The human body has about 100 billion cells. This number

can be written in exponential form as

(a) 10–11 (b) 1011 (c) 109 (d) 10–9

Solution : The correct answer is (b).

In examples 3 to 5, fill in the blanks to make the statements true.

Example 3 :

4

4 5 (– 4) ______ 4

  × =    

Solution : 54

Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =

Solution : 6–6

Example 5 : The distance between earth and sun is 150 million

kilometres which can be written in exponential form as

_______.

Solution : 1.5 × 108 km

In examples 6 and 7, state whether the statements are true (T) or false (F):

Example 6 : Very small numbers can be expressed in standard form

using positive exponents.

Solution : False.

Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4

Solution : False.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think that Percents are used very commonly all around us every day. It gives us a better vision in our mind of the quantity than decimals or fractions. We see Percents everywhere. In the shopping mall for discounts, math homework and work. So overall, percents are most commonly used.

Hope that helps!

Answer:

A₁ = $150.

Step-by-step explanation:

We know that:

Sarah has saved $150 at the moment.

She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300

And if she saves the $300, then her grandma will give her another $50.

Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:

2*A + $50

Then the recursive relation is just:

Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:

A₁ = $150.

Answer:

this is not possible

No, it is not possible for a metallic element to have a melting point of -38.87 degrees Celsius under standard conditions.

The melting point of a metallic element is typically a positive value, indicating the temperature at which the solid form of the element transitions into a liquid state.

A negative melting point would be a highly unusual and physically contradictory concept because it would imply that the element exists in a liquid state at temperatures below absolute zero, which is the lowest possible temperature in the Kelvin scale (-273.15 degrees Celsius). At temperatures below absolute zero, the thermal motion of particles comes to a minimum, and it's not possible for a substance to exist in a liquid state.

In reality, metallic elements have melting points that are well above absolute zero, typically ranging from hundreds of degrees Celsius to thousands of degrees Celsius, depending on the specific element. Melting points for metals are typically positive values due to the nature of metallic bonding and the need for sufficient thermal energy to overcome the forces holding the metal atoms together in a solid lattice structure.

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Answer:

Step-by-step explanation:

The exterior angle (shown) is equal to the two remote interior angles ( the ones marked with values in x).

5x + 2 + 5x = 11x - 11         Combine the terms on the left.

10x + 2 = 11x - 11                Add 11 to both sides

10x + 2 + 11 = 11x

10x + 13 = 11x                     Subtract 10x from both sides.

13 = x

Step-by-step explanation:

that back and forth between the different scales is the only task challenge. you need to focus to not mix things up.

so if I understand correctly, we should use the conversion rate of 1 kg = 2.2 pounds.

she should add 1 quart of water to every 26.7 pounds of concrete mix.

80 kg = 80×2.2 pounds = 176 pounds.

we need as many quarts of water as there are units of 26.7 pounds in 176 pounds.

176/26.7 = 6.5917603... quarts of water needed.

that would be rounded 6.6 quarts of water.

Answer:

√101

Step-by-step explanation:

10² = 100

√101 > 10

Answer:

billy has 1233 oranges

Step-by-step explanation:

557+676=1233

you add 557 and 676 to figure out how much billy has

you can check your answer by subtracting 1233-557=676

Answer:

Billy has 1233 oranges.

Step-by-step explanation:

This is a simple, they have this many more than this person has, so an example is the B has 1 book, but Alex has a book collection of 10 books. They both have more than one book, but Alex has 10 books in total, with 9 more than B does.

So, for this question, Tom has 557, and Bill had 676 more than him, so that would mean you need to add 676 and 557 together to get 1233 oranges for just Billy. So that would be our answer.

Answer:

1220.4

Step-by-step explanation:

S.I.=P×R×T÷100

=6000×4.52×4  1/2÷100

=6000×4.52×9÷2×100

=60×4.52×9÷2

=30×4.52×9

=1220.4

Answer:

a translation 7 units down

Step-by-step explanation:

the value of -7 will be added to the value of y in the original one ( y = x2) and it will decrease it by 7 units

Answer:

c

Step-by-step explanation:

assignment said so

Answer:

19) x = 48

20) y = 21

Step-by-step explanation:

19)

7x - 248 + x + 44 = 180

(because they're supplementary angles)

8x - 204 = 180

8x = 180 + 204

8x = 384

x = 48

20)

2y + 50 + 5y - 17 = 180

7y + 33 = 180

7y = 180 - 33

7y = 147

y = 21

Answer:

No; Because 9 is a factor of 4554. By divisibility rules sum of digits of 4554 is 18, which is a number divisible by 9. Hence 4554 is divisible by 9.

Step-by-step explanation:

:)

Answer:

[tex] {( - 4)}^{5} \times {( - 4)}^{7} \\ = {( - 4)}^{5 + 7} \\ = {( - 4)}^{12} \\ = 16777216 \\ thank \: you[/tex]

Answer:

a = -5

Step-by-step explanation:

IF A = -5

6 ( - 5 ) + 9

- 30 + 9

-21

-21 is less than -15 so it works

Answer:ghbdd

Step-by-step explanation:

first u ushded

nexy u hwdhhsd

Answer:

164 in sum

Step-by-step explanation:

plus it and get the answer

Answer: 6.75 or 6 3/4

Step-by-step explanation: 3 3/8 x 2 = 6.75 Brainliest please?

Answer:

a) $340

b) $20

Step-by-step explanation:

a) in the summer (July and August) he earned 160 + 180 = $340

b) in July he earned 160 ÷ 8 = $ 20

Javonie earned $340 over the summer and he charged $20 per dog in July.

The amount of money he earned over the summer is the sum of the money he earned in July and the sum of the money he earned in August

Total amount earned in the summer = amount earned in July + amount earned in August

$160 + $180 = $340

The amount he charged per dog in July can be determined by dividing the total amount earned in July by the total number of dogs he walked.

Amount charged per dog = amount earned in July / total dogs worked

$160 / 8 = $20

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The median of the data is: 7

Answer:

which class

Step-by-step explanation:

.,........

Answer: 6.9

Step-by-step explanation: search sqrt 48

Answer:

6 and 1/4

Step-by-step explanation:

1/6 x - 1/8 = 11/12

First, let's find the least common denominator (24) to make these fractions manageable to work with: 4/24 x - 3/24 = 22/24.

Next, add 3/24 to both sides: 4/24 x = 25/24.

We can cancel out the denominators at this point to get: 4x=25.

Divide both side by 4, and x = 25/4 = 6 and 1/4 or 6.25

Answer:

fafnir

Step-by-step explanation:

Answer:

A.21 days

B.2, 6

Step-by-step explanation:

(a) In 21 days we will have both lessons on the same day again.
(b) Between each occurrence of having both lessons on the same day again, you will have 2 piano lessons and 6 tuba lessons.

a.
To find out when we will have both lessons on the same day again, we need to find the least common multiple (LCM) of 7 and 3.

The LCM of 7 and 3 is 21. This means that every 21 days, our piano and tuba lessons will align again.

b. Between each occurrence of having both lessons on the same day, you have 21 days. During these 21 days, you will have:

21 / 7  - 1 = 2 piano lessons.

21 / 3 - 1 = 6 tuba lessons.

So, between each occurrence of having both lessons on the same day again, we will have 2 piano lessons and 6 tuba lessons.

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