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2 years ago

The nth term of a sequence is 2n-1.

Mathematics

1 answer:

damaskus [11]2 years ago

5 0

Answer: 25, 31 and 37

Step-by-step explanation:

(2n-1)= 19, 21, 23, 25, 27, 29, 31, 33, 35, 37

(3n+1)= 19, 22, 25, 28, 31, 34, 37,

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Evan and Carter are making chocolate milk which mixes milk with chocolate syrup. Evan's recipe calls for 5 cups of milk for ever

Alex73 [517]

Answer:

Evan's recipe

Step-by-step explanation:

Given that:

Evan's recipe :

5 cups of milk for every 4 teaspoons of chocolate syrup

Carter's recipe:

3 cups of milk for every 2 teaspoons of chocolate syrup.

Recipe with the stronger tasting chocolate milk:

Take the ratio of cups of milk to teaspoons of chocolate syrup:

Evan's :

5 / 4 = 1.25

Carter's :

3 /2 = 1.5

Evan's recipe has the stronger tasting chocolate milk recipe :

5 milk cup = 4 chocolate spoons

Number of chocolate milks for 3 milk cups = x in Evan's recipe

5 = 4

3 = x

5x = 12

x = 12/5

x = 2.4 teaspoons

This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups

3 0

2 years ago

1990 population was 254 million in 2014 it was 303 what was the percentage increase in the population

Ann [662]

Answer:

19.29%

Step-by-step explanation:

Given

Population in 1990

= 254000000

Population in 2014

= 303000000

Increase = 303000000 - 254000000

= 49000000

% increase in population =

Increase /initial population x 100%

That’s

49000000/254000000 x 100%

0.1929 x 100%

19.29%

The population increased by 19.29%

7 0

2 years ago

Harry has 20 sweets. He gives 7 of the sweets to Nadia. What fraction of the 20 sweets does Harry have now?

olganol [36]

Answer: 13

Step-by-step explanation:

1. Harry has 20/20 sweets

2. Nadia takes 7/20 sweets

3. Your left with 13/20

3 0

3 years ago

Read 2 more answers

Algebra 1 IMPORTANT

babymother [125]

Answer:

Step-by-step explanation:

Subtract 1.6 from the height each hour and it shows that the answers match the height each hour.

5 0

2 years ago

Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0

1 year ago