Determine the solution set of each equation​

Answer:

  1596 miles

Step-by-step explanation:

A suitable proportion can be ...

  [tex]\dfrac{\text{miles}}{\text{hours}}=\dfrac{M}{14\text{ h}}=\dfrac{342\text{ mi}}{3\text{ h}}\\\\M=\dfrac{14\cdot 342}{3}\text{ mi}=1596\text{ mi}[/tex]

We solved it by multiplying both sides by 14 hours. The units of hours cancel, leaving units of miles.

Michelle's car can travel 1596 miles in 14 hours.

The answer is:

5.2 x 10^7 or 52,000,000

Answer:

The answer is 4062.39

Step-by-step explanation:

A=$2,400(1+0.0681)1(8). Simplify using the order of operations: A=$2,400(1.068)8=$2,400(1.692661131)≈$4,062.39.

The amount of money after 8 years will be $4062.38.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

Given that Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. The amount after 8 years will be calculated as below:-

Amount = P [ 1 + ( r / n )]^(nt)

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Amount = 2400 [ 1 + ( 0.068 / 1 ) ] ⁸

Amount = 2400 [1.068 ) ] ⁸

Amount = 4062.38

Therefore, the amount of money after 8 years will be $4062.38.

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Answer:

B. 11 MPH

Step-by-step explanation:

60/4=15

15-11=4

Answer:

(317-7)/6≈52

Step-by-step explanation:

There was approximately 52 kids in each bus

Total number of kids = 317

Total number of buses = 6

Number of kids sick = 7

Therefore, the number of kids on each bus will be:

= (317 - 7) / 6

= 310/6

= 51 2/3

= 52 kids approximately

In conclusion, there was approximately 52 kids in each bus.

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[tex](f + g)(x) = - 4 {x}^{2} - 6x - 1 - {x}^{2} - 5x + 3 \\ [/tex]

[tex](f + g)(x) = - 5 {x}^{2} - 11x + 2 \\ [/tex]

And we're done.

Thanks for watching buddy good luck.

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Answer:

237

Step-by-step explanation:

y = 115

x = 78

The angles in each line have to add up to 180. In this case, it doesn't show the other side of the angle, but you could probably think of it.

Answer:

2 mm

Step-by-step explanation:

let the radius of the semi-circle be r

Then,

length of curved portion = 1/2 x circumference = (1/2) (2)(π)r = πr

length of straight portion = diameter of circle = 2r

Hence, we can write an expression for the perimeter

Perimeter = length of curved portion + length of straight portion

Perimeter = πr + 2r

Perimeter = (π + 2)r

since we are given the perimeter = 5.14, assuming that π=3.14, our equation becomes:

5.14 = (3.14 + 2)r

5.14 = 5.14 r

r = 5.14 / 5.14 = 1

Hence, diameter = 2r = 2(1) = 2 mm

Answer:

Yes, they are paralle.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Here;

The equations are:

3x + 4y - 7 = 0.............(I)

6x + 8y -11 = 0.........(ii)

Let's simply work with this.

From equation (I)

[tex]slope(m) = \frac{ - coeff.of \: x}{coeff.of \: y} [/tex]

[tex]m1 = \frac{ - 3}{4} [/tex]

From equation (ii)

[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex]m2 = \frac{ - 6}{8} [/tex]

[tex]m2 = \frac{ - 3}{4} [/tex]

As per the condition of parallel lines;

M1 = M2

-3/4 = -3/4. (true)

Therefore, the lines are parallel to eachother.

Hope it helps...

Answer:

Multiply 5 by 4.22 because 5 cups of water is 4.22 liters

Answer:

= -65x + 15

Step-by-step explanation:

You Welcome ❤

Answer:

=-65+18i think sorry I'm not much help but I hope it was right

Answer: $200

Step-by-step explanation: $200=100% so then $200-20%=$180=80%

Answer:

9005

Step-by-step explanation:

180$ divided by 20% is 900$  

Answer:

The mean for the probability mass function is 0.64287.

Step-by-step explanation:

The complete question is:

In a batch of ​28 pedometers, 3 are believed to be defective. A​ quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.

The probability mass function ​f (x) is:

f (x)​ = {(0, 0.47009​), ​(1, 0.42308​), ​(2,​ 0.10073), ​(3, 0.00611​)}

Solution:

The mean of a discrete random variable X with probability mass function f (x) is:

[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]

Compute the mean for the probability mass function above as follows:

[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]

  [tex]=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287[/tex]

Thus, the mean for the probability mass function is 0.64287.

This values represents the expected number of defective units for every 6 units tested.

Answer:

16.825 is the answer for your question

Answer:

-3

Step-by-step explanation:

Answer:

2(2x+1)(x-3w)

Answer:

The probability that on any given day, there will be 9 individuals arriving at the food pantry is 0.1241

Step-by-step explanation:

Here, we are to use Poisson distribution probability formula

Please check attachment for detailed explanation

Answer:

ay

Step-by-step explanation: step by step

Answer:

Let's see what to do buddy....

Step-by-step explanation:

_________________________________

Step (1)

[tex]f(x) = 3x - 2[/tex]

[tex]g(x) = {x}^{2} - 5 [/tex]

_________________________________

Step (2)

We need to find f(2) first ;

To do this we must put 2 instead of the x in f(x) function.

Let's do it :

[tex]f(2) = 3(2) - 2[/tex]

[tex]f(2) = 6 - 2[/tex]

[tex]f(2) = 4[/tex]

_________________________________

Step (3)

Now we are going to find g( f (2) ) ;

Look :

[tex]g( \: f(2) \: ) = g(4)[/tex]

So we want to find g(4) ;

which means we must put 4 instead of the x in g(x) function.

Let's do it :

[tex]g(4) = ({4})^{2} - 5 [/tex]

[tex]g(4) = 16 - 5[/tex]

[tex]g(4) = 11[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

the answer is instruments that detect earthquakes

Answer:

(-2,0)

Step-by-step explanation:

remember the rule for 90 degree clockwise is (-y,x) opposite y and x

the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative

Hope this helps dude, I'm also learning this in online school lol. ^-^

The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).

The given coordinate point is (0, 2).

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here

(-2, 0)

Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).

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Answer:

500,000

Step-by-step explanation:

You have a 9 in the ten thousand, round up and get 500,000

Answer:

$52.50

Step-by-step explanation:

C = 3.5t

C = 3.5 (15)

3.5 × 15 = 52.5

C = $52.50

Answer:

63

Step-by-step explanation:

Step 1: Define

f(x) = -x - 12

f(-5) is x = -5

f(-3) is x = -3

Step 2: Find f(-5)

f(-5) = -(-5) - 12

f(-5) = 5 - 12

f(-5) = -7

Step 3: Find f(-3)

f(-3) = -(-3) - 12

f(-3) = 3 - 12

f(-3) = -9

Step 4: Find f(-5) × f(-3)

-7 × -9

63