PLEEEEASSSSSSSE HEEEEEEELP ME (20 POINTS)

Let m be the side length of the fourth smallest possible square with integer value of its area, and let n be the sum of all prim

Natali [406]

Answer:

510

Step-by-step explanation:

It's assumed 0 is not an integer.

M is obviously 2. The area of a square is the square of its side length. If this area must be an integer, then it must be the fourth integer, which is 4. The side length, $M=\sqrt{4} = 2$

A prime number is a positive integer which can be divided exactly by only itself and 1. In fact, it has only those two factors. The last statement excludes 1 as a prime number. Hence, the prime numbers less than 10 are 2, 3, 5 and 7. Their sum is $N=2+3+5+7=17$ .

To evaluate $MN(N-M)$ ,

$2\times17(17-2)=34\times15=510$

6 0

3 years ago

What is the slope of the line? a.- 5/2 b.- 2/5 c.2/5 d.5/2

DochEvi [55]

(0, -1) (2,4)

4 - -1/ 2 - 0

5/2

The answer will be D

5 0

4 years ago

X y

Darina [25.2K]

Answer:

Part 1) The rate of change is $\frac{17}{15}$

Part 2) The initial value is 68

Part 3) The function rule to the linear model is $y=\frac{17}{15}x+68$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{85-68}{15-0}$

$m=\frac{17}{15}$

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is $\frac{17}{15}$

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

$b=68$

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

$y=mx+b$

we have

$m=\frac{17}{15}$

$b=68$

substitute

$y=\frac{17}{15}x+68$

8 0

3 years ago

An angle measures 30° more than the measure of its supplementary angle. What is the measure of each angle?

yarga [219]

Hi there!
$\boxed{\angle A = 75^o, \angle B = 105^o}$

Let there be two angles, ∠A and ∠B, that are supplementary to each other. Therefore:

∠A + ∠B = 180°

We can assign ∠B to be the greater angle. Assume ∠A has a measure of x°.

∠A = x°

∠B = x° + 30°

The sum is equal to 180°, so:

x° + (x° + 30°) = 180°

Solve for x°.

2x° + 30° = 180°

2x° = 150°

x° = 75°

Thus, ∠A = 75°.

Since ∠B is 30°, greater:
∠B = 75° + 30° = 105°.

4 0

2 years ago

A bicycle lock has a four-digit code. The possible digits, 0 What is the probability that the lock code will begin with

nika2105 [10]

Answer:

0.1-0.6

Step-by-step explanation:

First let's find the number of the elements in the sample space, that is the total number of codes that can be produced.

The first digit is any of {0, 1, 2...,9}, that is 10 possibilities

the second digit is any of the remaining 9, after having picked one.

and so on...

so in total there are 10*9*8*7 = 5040 codes.

a. What is the probability that the lock code will begin with 5?

Lets fix the first number as 5. Then there are 9 possibilities for the second digit, 8 for the third on and 7 for the last digit.

Thus, there are 1*9*8*7=504 codes which start with 5.

so

P(first digit is five)=

b. What is the probability that the lock code will not contain the number 0?

from the set {0, 1, 2...., } we exclude 0, and we are left with {1, 2, ...9}

from which we can form in total 9*8*7*6 codes which do not contain 0.

P(codes without 0)=n(codes without 0)/n(all codes)=(9*8*7*6)/(10*9*8*7)=6/10=0.6

Answer:

0.1 ; 0.6

8 0

3 years ago

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