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2 years ago

Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2__{−6,−3,−5,−1}

Mathematics

1 answer:

Misha Larkins [42]2 years ago

7 0

Answer:

−2 ∉ {−6,−3,−5,−1}

Step-by-step explanation:

Given

Set = {−6,−3,−5,−1}

Element = -2

Required

The interpretation of the question is to state if -2 is an element of the given set or not

The first thing to do is to check through the set to count the number of occurrence of -2

Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0

This implies that -2 is not an element of the given set and this is represented by the symbol ∉

Hence:

−2 ∉ {−6,−3,−5,−1}

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A vendor at the State Fair has learned that, by pricing his deep fried bananas on a stick at $1.00, sales will reach 82 bananas

Tasya [4]

Answer:

Y=-40x+122

Step-by-step explanation:

hello

Due to the nature of the data, it is most convenient to model this problem as a linear function.

To solve this problem we must use the equation that defines a line, then start assigning the corresponding values

y1=82bananas per day

X1=1 dolar

y2=52bananas per day

x2=1.75dolar

line ecuation

y − y 1 = m(x − x 1 )

where

$m=slope=\frac{y2-y1}{x2-x1} =\frac{52-82}{1.75-1}=-40$

solving:

Y-82=-40(x-1)

Y=-40x+40+82

Y=-40x+122

let's try the result!

Price =1dolar

Y=-40(1)+122=82bananas per day

Price=1.75dolar

Y=-40(1.75)+122=52bananas per day

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3 years ago

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Alexeev081 [22]

Answer: it’s D :)

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2 years ago

A right triangle has a 30o angle. the leg adjacent to the 30o angle measures 25 inches. what is the length of the other leg

adelina 88 [10]

Since the triangle has a 30° angle and a right angle which is 90°, this triangle must be a 30 - 60 - 90 triangle, which is a triangle with special properties. The length of the leg adjacent to the 30° angle is equal to the √3 times x where x is the length of the angle adjacent to the 60° angle. Here is a visual representation:

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2 years ago

Garrett chooses to invest $1800 in a simple. The account earns 3% interest over 5 years which equation represents garrets invest

Alla [95]

The interest earned in 5 years would be $270

Explanation:

Given:

Principal, P = $1800

Rate of interest, r = 3%

Time, t = 5 years

Simple interest, I = ?

We know,

$I = \frac{p X r X t}{100}$

On substituting the value we get

$I = \frac{1800 X 3 X 5}{100} \\\\I = 270$

Therefore, interest earned in 5 years would be $270

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3 years ago

50 Points: Name the similar triangles & Prove the similarity with details

Leno4ka [110]

Let's consider the facts at hand:

By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
∠BEC = ∠DFC
Sides BE = DF

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⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC

⇒ the two triangles are similar

Hope that helps!

Definitions of Theorem I used:

Vertical Angle Theorem: opposite angles of two intersecting lines must be equal
Angle-Angle Theorem: if two angles of both triangles are equal, then the given triangles must be similar

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2 years ago

Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2​__{−6,−3,−5,−1}

Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2__{−6,−3,−5,−1}