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3 years ago

Round 14.857 to the nearest tenth

2 answers:

8 0

14.9. this is because 8 is in the tenth place, and the next number is five. for numbers greater than 4, you round up, for four or less, you stay the same.

katrin2010 [14]3 years ago

4 0

I believe its 15.000

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In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

levacccp [35]

The sequence is given as follow
$3a$ , $3 a^{2}b,3 a^{3} b^{2} , 3 a^{4} b^{3}$

When finding the pattern of a sequence, we can try to work out whether there is a common difference or a common ratio between each term. We try by finding a common ratio

$\frac{3 a^{2}b }{3a} =ab$
$\frac{3 a^{3 b^{2} } }{3 a^{2}b }=ab$
$\frac{3 a^{4} b^{3} }{3 a^{3} b^{2} }=ab$

The term to term rule is multiplied by $ab$

The $5^{th}$ term is given $3 a ^{4} b^{3}$ × $ab=3 a^{5} b^{4}$

The $6^{th}$ term is given by $3 a^{5} b^{4}$ × $ab=3 a^{6} b^{5}$

8 0

3 years ago

As shown in the graph, ΔGHI ≅ ΔG'H'I', since this is a vertical shift, and ΔG'H'I' ≅ ΔG''H''I'', since this is a horizontal shif

77julia77 [94]

D) (X,Y) <span> → (x + 4, y - 5).
HOPE THIS HELPED :-)</span>

4 0

3 years ago

Help asap

ZanzabumX [31]

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

<h3>Unit conversion</h3>

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that 1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

Step 1 - Convert the units for each given juice containers

250 milliliters of lemonade = 0.250 l of lemonade juice

500 milliliters of orange juice = 0.500 l of orange juice

250 milliliters of grape juice = 0.250 l of grape juice

250 milliliters of apple juice= 0.250 l of apple juice

500 milliliters of cranberry juice = 0.500 l of cranberry juice

500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

Step 2 -Design your own fruit punch recipe with exactly 5 liters

4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

2 juice containers of pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

brainly.com/question/14965845

4 0

2 years ago

Unit 4: Congruent Triangles Homework 2: Angles of Triangles

garri49 [273]

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

<h3>How to solve the triangle?</h3>

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

Learn more about triangles on:

brainly.com/question/17335144

5 0

2 years ago

A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded

Greeley [361]

The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.

Step-by-step explanation:

Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.

Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.

The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.

So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.

The number of years to reach 13,500 dollars = $\frac{3,500}{450}$ = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.

7 0

3 years ago