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amm1812
3 years ago
6

Choose the solution to this inequality. 4/3 < − 8/3y

Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0

Answer:

Rewrite so y is on the left side of the inequality.

−83y>43

Multiply each term by −38 and simplify.

Inequality Form:

y<−1/2

Interval Notation:

(−∞,−1/2)

Step-by-step explanation:

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If a₁ = 4 and an = 5an-1 then find the value of a5.
igor_vitrenko [27]

The value of a_{5} is 2500, when a_{1}=4 and 5a_{n-1}.

Given that, a_{1}=4 and 5a_{n-1}.

We need to find the value of a_{5}.

<h3>What is an arithmetic sequence?</h3>

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of a_{5} :

a_{2} =5a_{2-1}=5a_{1}=5 \times4=20

a_{3} =5a_{3-1}=5a_{2}=5 \times20=100

a_{4} =5a_{4-1}=5a_{3}=5 \times100=500

a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500

Therefore, the value of a_{5} is 2500.

To learn more about arithmetic sequence visit:

brainly.com/question/15412619.

#SPJ1

5 0
2 years ago
John wants to measure the height of a tree.he walks exactly 100 ft from the base of the tree and looks up.the angle from the gro
kati45 [8]

Answer: The height of the tree is 64.94ft

Step-by-step explanation:

Using the trigonometry of angles

Tan theta = opposite/adjacent

Tan 33° = height of the tree/100

Height of the tree= tan 33° * 100

= 0.6494*100

= 64.94ft

The height of the tree is 64.94ft

6 0
3 years ago
If x=9 and y=−3, evaluate the following expression:4/x−yGive your answer as a fraction in its simplest form.​
qwelly [4]
Answer:1/3
4/9-(-3)=4/12=
1/3
6 0
3 years ago
Read 2 more answers
Mrs. Johnson put 22,250 miles
Viefleur [7K]

The change in quantities can be represented as percentage

<em>The percentage decrease in miles driven is 34.83%</em>

The given parameters are:

\mathbf{Initial = 22250}

\mathbf{Final = 14500}

The percentage decrease is calculated as:

\mathbf{\%Decrease = \frac{Final - Initial}{Initial} \times 100\%}

Substitute known values

\mathbf{\%Decrease = \frac{14500- 22250}{22250} \times 100\%}

\mathbf{\%Decrease = \frac{-7750}{22250} \times 100\%}

\mathbf{\%Decrease = \frac{-775000}{22250}  \%}

\mathbf{\%Decrease = -34.83 \%}

The negative sign implies that, the change represents a decrement.

Hence, the percentage decrease in miles driven is 34.83%

Read more about percentage change at:

brainly.com/question/14801224

7 0
2 years ago
Lamar needs to find the sum of 3/6 and 2/3.Could he multiply the denominators to find a common denominator?
barxatty [35]

Answer:

yes

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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