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2 years ago

6

Every student in the 6th grade at PS 500 must read exactly three of the principal's four

1 answer:

Vladimir [108]2 years ago

6 0

Answer:

Step-by-step explanation:

I'm stuck and this is hard

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Someone help me please

Bond [772]

Answer:

4

Step-by-step explanation:

Plug in the standard deviation formula. This is new to me but it took some research.. Hope it helps

6 0

2 years ago

2.1.43 A particular hybrid car travels approximately 235 mi on 5 gal of gas. Find the amount of gas required for a 705-mi trip.

o-na [289]

Answer: 15 gallons of gas is required for a 705 miles trip.

Step-by-step explanation:

Since we have given that

Number of miles in a trip = 235 miles

Number of gallon of gas is needed = 5

We need to find the amount of gas required for 750 miles trip.

Since there is direct variation, as for increase in number of miles, amount of gas must be increased.

According to question, it becomes,

$\dfrac{235}{5}=\dfrac{705}x}\\\\47=\dfrac{705}{x}\\\\47x=705\\\\x=\dfrac{705}{47}\\\\x=15\ gallons$

Hence, 15 gallons of gas is required for a 705 miles trip.

7 0

2 years ago

The graph of an exponential function passed through (0,4) and (1,1/2) write the rule for the function and tell whether the graph

FrozenT [24]

Answer:

$f(x) = 4 \times (\dfrac{1}{8})^{x}$ .

Step-by-step explanation:

Let $f(x) = a \cdot b^{x}$ represent this exponential function. $a \ne 0$ , $b > 0$ .

$b^{0} = 1$ . As a result, $a = f(0) = 4$ .

$a \cdot b = 4 \cdot b = f(1) = \dfrac{1}{2}$ .

As a result,

$b = \dfrac{1}{8}$ .

$f(x) = a \cdot b^{x} = 4 \times (\dfrac{1}{8})^{x}$ .

This function represents an exponential decay since $0 < b < 1$ .

5 0

2 years ago

Yo plz help me I don’t know this<br><br> Which number line shows the solution to -6 - (-4)?

Airida [17]

Answer:

B

Step-by-step explanation:

To solve -6-(-4) you need to break it down.

First, multiply -(-4) which would equal 4 (negative times negative equals positive)

Then add 4 to -6 (-6+4)

This equation is being expressed through option B

Hope this helps! :)

3 0

2 years ago

A) Find the value of N if, Kn has 105 edges.

blagie [28]

The number of edges can be calculated from the number of vertices.

<em>There are 14 vertices for 105 edges</em>
<em>There are 200 vertices for 19900 edges</em>

The variable N is used to always represent the number of vertices.

So, we represent the edges as:

$E \to Edges$

<u />

<u>(a) The value of N for 105 edges</u>

The relationship between N and E is:

$E = \frac{N \times (N - 1)}{2}$

Substitute 105 for E

$105 = \frac{N \times (N - 1)}{2}$

Multiply through by 2

$210 = N \times (N - 1)$

$210 = N^2 - N$

Rewrite as:

$N^2 - N - 210 = 0$

Expand

$N^2 +14N - 15N - 210 = 0$

Factorize

$N(N +14) - 15(N + 14) = 0$

Factor out N + 14

$(N - 15) (N + 14) = 0$

Solve for N

$N = 15$ or $N = -14$

The number of vertices (N) cannot be negative. So:

$N = 15$

<u>(b) The value of N for 19900 edges</u>

We have:

$E = \frac{N \times (N - 1)}{2}$

Substitute 19900 for E

$19900 = \frac{N \times (N - 1)}{2}$

Multiply through by 2

$39800 = N \times (N - 1)$

$39800= N^2 - N$

Rewrite as:

$N^2 - N - 39800= 0$

Expand

$N^2 +199N - 200N - 39800= 0$

Factorize

$N(N +199) - 200(N + 199) = 0$

Factor out N + 199

$(N + 199) (N - 200) = 0$

Solve for N

$N = 200$ or $N = -199$

The number of vertices (N) cannot be negative. So:

$N = 200$

<em>Hence, there are 200 vertices for 19900 edges</em>

Read more about vertices and edges at:

brainly.com/question/22118318

7 0

2 years ago