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3 years ago

Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8

Mathematics

1 answer:

Svetach [21]3 years ago

6 0

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

$3w^{2} +1$ and $10w+8$ .

If we were to replace w with 4 and calculate, we will find the answer:

$3*4^{2} +1=3*16+1=48+1=49$

$10*4+8=40+8=48$

Since the first expression, $3w^{2} +1$ , is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

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Margarita [4]

Answer: $\overline{MN}$ and $\overline{QR}$

Step-by-step explanation:

Given: In ΔMNO and ΔQRS

$\frac{SQ}{OM}=\frac{SR}{ON}=4$

To prove that the triangles are similar by the SSS similarity theorem [corresponding sides of similar triangles are proportional], there must be the third pair of corresponding sides,

That must be $\overline{MN}$ and $\overline{QR}$

such that $\frac{QR}{MN}=4$

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liberstina [14]

Answer: option B

This is because you have to work out the range of both periods

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Range for period 1: 92-81=11
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3 years ago

Which is a counterexample that shows the statement is false? If you square a number, then the answer is greater than the number.

Iteru [2.4K]

Answer:

A. ( $\frac{1}{2}$ )² = $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$

Step-by-step explanation:

Answer choice (A) is the counterexample because squaring number $\frac{1}{2}$ results into number $\frac{1}{4}$ which is less than $\frac{1}{2}$ .

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3 years ago

An 16 16-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

Radius = diameter/2 = 5/2

r = 2.5 inches

Volume = 3.14 × 2.5² × 7 = 137.375 inches³

Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

2) If the cost is directly proportional to weight, then

If 16 oz cost $1.6, then

29 oz would cost

(29 × 1.6)/16 = $2.9

The price of the larger jar would be $2.9

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