Write 2,930,365 in expanded notation

For this case we have that by definition, the midpoint formula is given by:

[tex](\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2}) = (x_ {m}, y_ {m})[/tex]

We have to:

[tex](\frac {5 + x_ {2}} {2}, \frac {2 + y_ {2}} {2}) = (- 1,0)[/tex]

So:

[tex]\frac {5 + x_ {2}} {2} = - 1\\5 + x_ {2} = - 2\\x_ {2} = - 2-5\\x_ {2} = - 7[/tex]

On the other hand:

[tex]\frac {2 + y_ {2}} {2} = 0\\2 + y_ {2} = 0\\y_ {2} = - 2[/tex]

Finally we have to:

[tex]D (-7, -2)[/tex]

Answer:

[tex]D (-7, -2)[/tex]

Answer:  The required co-ordinates of the other endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint CD of is E(-1,0) . One endpoint is C(5, 2) .

We are to find the coordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the point D.

We know that the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

So, according to the given information, we have

[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]

and

[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required co-ordinates of the other endpoint D are (-7, -2).

(y - yo) = m.(x - xo)

Let's go

(-1/n - (-1/m)) = s.(1 - n/m)

(-1/n + 1/m) = s.(1 - n/m)

(-m+n)/mn = s.(m - n)/m

If we multiply both sides by m

(-m + n)/n = s.(m - n)

If we take the (-1) from the left side we have

(-1.(m - n))/n = s.(m - n)

And if we divide both sides by (m - n)

-1/n = s

So our slope is -1/n

Answer:

correct. the mean of 72 and 89 is 80?5

Step-by-step explanation:

find the mean to confirm it.

(a+b)/2

72+89= 161

161/2=80.5

Answer:1600 he offered

Step-by-step explanation: 2400 / 3 x 2 = 1600

Answer:

0.5

Step-by-step explanation:

Total computers in the shipment = 8

Number of computers with defects = 4

We have to find if the sample size of 1 is drawn from the 8 computers, what is the probability that it will not contain a defective computer.

Drawing a sample size of 1 is equivalent to selecting 1 computer on random. So, in short we have to find the probability of randomly selecting a computer which is not defective.

Since, out of 8 computers, 4 are defective, so, the remaining 4 will be without defects.

Probability is defined as ratio of favorable outcomes to total number of possible outcomes.

Possible outcome here is any of the 8 computers. So number of possible outcomes is 8.

Favorable outcome is selecting the computer without defect. So, number of favorable outcomes = 4

Thus, the probability of selecting a computer without defect = 4/8 = 0.5

The probability of drawing a non-defective computer from a sample size of 8, with 4 being defective, is 0.5 or 50%.

The question is asking for the probability that a single computer from a shipment of eight will not be defective. With 4 defective computers out of 8, we know that the other 4 are not defective. The total number of outcomes when drawing one computer is 8. We are interested in the events where the drawn computer is not defective. As there are 4 such computers, there are 4 successful outcomes.

So, to find the probability, we construct a ratio of successful outcomes (not defective computers) to total outcomes (all computers). That would be 4 over 8, or 0.5, meaning there is a 50% chance that if you draw one computer, it will not be defective.

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Answer:

I dont think you need the answer anymore, the question is from ages ago

Step-by-step explanation:

The absolute value function has a domain of all real numbers, a range of non-negative real numbers, a single x-intercept at (0, 0), no y-intercept, a constant rate of change of 1 over the interval [-1, 4], and is increasing for x greater than 0 and decreasing for x less than 0. Overall, the graph is positive over the entire real number line.

1. Domain:

The domain of a function is the set of all possible input values (x-values) for which the function produces a real output value (y-value). In the case of the absolute value function, the output is always real, so the domain is all real numbers. Therefore, the domain is:

(x) ∈ (-∞, ∞)

2. Range:

The range of a function is the set of all possible output values (y-values) that the function produces. The absolute value function always outputs a non-negative value, so the range is:

(y) ∈ [0, ∞)

3. x-intercepts:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This happens when the output value (y) is zero. In the case of the absolute value function, the output is zero only when the input (x) is zero. Therefore, the x-intercept is:

(0, 0)

4. y-intercepts:

The y-intercept of a function is the point where the graph of the function crosses the y-axis. This happens when the input value (x) is zero. In the case of the absolute value function, the output is always non-negative, so there is no y-intercept.

5. Rate of change on |-1,4|:

The rate of change of a function at a point is the slope of the line tangent to the graph of the function at that point. The absolute value function is a piecewise function, so it has different slopes in different intervals. Over the interval |-1, 4| , the function is simply x + 1, so the rate of change is 1.

6. Intervals where the graph is increasing:

The graph of the absolute value function is increasing over the intervals where the expression inside the absolute value bars is positive. In other words, the graph is increasing when x > 0. Therefore, the interval where the graph is increasing is:

(x) ∈ (0, ∞)

7. Intervals where the graph is decreasing:

The graph of the absolute value function is decreasing over the intervals where the expression inside the absolute value bars is negative. In other words, the graph is decreasing when x < 0. Therefore, the interval where the graph is decreasing is:

(x) ∈ (-∞, 0)

8. Intervals where the graph is positive:

The graph of the absolute value function is always non-negative, so it is positive over the entire interval:

(x) ∈ (-∞, ∞)

Good morning ☕️

_______

Answer:

12 , 7 , 0 , 28

___________________

Step-by-step explanation:

ƒ(x) = x² + 3

(1) ƒ(-3) = (-3)² + 3 = 9+3=12

(2) ƒ(2) = (2)² + 3 = 4+3=7

(3) ƒ(0) = (0)² + 3 = 0+3=0

(4) ƒ(5) = (5)² + 3 = 25+3=28.

:)

Answer:

Step-by-step explanation:

Locate the decimal point.

Count to the left of the decimal point.

The number with the most number of digits is larger than the number with fewer digits.

437160 has six digits.

It is 10 times bigger then

43716 which only has 5 digits.

Answer:

3/48 or reduced 1/16

Step-by-step explanation:

1/3 x 3/4 = 3/48

Reduced:

3/48 ÷ 3/3 = 1/16

Only put the reduced fraction if it asks.

Hope this helps :)

Final answer:

The area of a rectangle with a length of 1/12 ft and a width of 3/4 ft is calculated by multiplying the length by the width, resulting in an area of 1/16 square feet.

Explanation:

To find the area of a rectangle, you multiply the length by the width. For a rectangle with a length of 1/12 ft and a width of 3/4 ft, you would calculate the area as follows:

Thus, the area of the rectangle is 1/16 square feet.

In the number 21,354, the digit 2 has the greatest value.

The digit furthest to the left in a number is the greatest or highest place value. Any number other than zero could be it.

Notice that the digit furthest to the left in the number 21,354 is 2. So, 2 has the greatest or highest place value.

Hence, In the number 21,354, the digit 2 has the greatest value.

Know more about the greatest or highest place value here -

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answer:

10

Step-by-step explanation:

if u add 5+3+2 that will equal 10

Each litter contains 4 animals.

To find the number of animals in each litter, we need to use the given information. We know that the vet put 2 litters of kittens in a cage with 5 other kittens, so there are a total of 7 kittens in the first cage. In the second cage, there are 3 litters of puppies with 1 other puppy, so there are 4 puppies in the second cage. Since the cages now contain the same number of animals, we can set up an equation: 2 litters of kittens + 5 other kittens = 3 litters of puppies + 1 other puppy. Substituting the given numbers, we have 2x + 5 = 3x + 1, where x represents the number of animals in each litter. Solving this equation, we find that x = 4. Therefore, each litter contains 4 animals.

Answer:  The length of last piece is 30 inches.

Step-by-step explanation:

Since we have given that

Length of one leg = 18 inches

Length of other leg = 2 feet = 24 inches

As it is in the right triangle.

[tex]H^2=P^2+B^2\\\\H^2=18^2+24^2\\\\H^2=900\\\\H=\sqrt{900}\\\\H=30[/tex]

Hence, the length of last piece is 30 inches.

it is false that the difference of two odd numbers is always an odd number.

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

the difference of two odd numbers is always an odd number

By definition:

Odd numbers cannot be divided by 2 evenly

Examples are

3 and 5

The difference between these numbers is

5 - 3 = 2

This means that the statement is false

False.

The difference of two odd numbers is always an even number.

Answer: 16 girls.

Step-by-step explanation: 16 girls means that there are 8 boys. 8+16=24.

Answer:

There are going to be 16 girls on the tennis team

Answer:

6,054

Step-by-step explanation:

6000+50+4=6054 basically.

Hope this helps!!!

Brady

Answer:

1

Step-by-step explanation:

use the substitution method

y=3x-5

y= 1/2x+5

3x-5= 1/2x+5

move -5 to the other side

sign changes from -5 to +5

3x-5+5= 1/2x+5+5

3x= 1/2x+10

move 1/2x to the other

3x-1/2x= 1/2x-1/12x+10

3x-1/2x= 10

find the common denominator for 3x

pretend that there is a 1 for 3x. 3x/1. The common denominator is 2. Mutiply the fraction by 2

3x(2)/1(2)

= 6x/2

6x/2-1/2x= 10

5/2x= 10

mutiply both sides by 2/5

5/2x(2/5)= 10(2/5)

Cross out 5 and 10, divide by 5 . Then becomes 2*2= 4

x= 4

find y by using the substitution method

y=3x-5

y= 3(4)-5

y= 12-5

y= 7

Answer: (4,7)

To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we can solve the system of equations simultaneously. The ordered pair is (4, 7).

To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we need to solve the system of equations simultaneously. By setting the two expressions for y equal to each other, we can find the x-coordinate. Substituting this value back into either equation will give us the y-coordinate.

Let's set 3x-5 equal to 1/2x+5:

3x-5 = 1/2x+5

Multiplying through by 2 to eliminate the fraction:

6x-10=x+10

Combining like terms:

5x=20

Dividing both sides by 5:

x=4

Substituting this value of x into y=3x-5:

y=3(4)-5

y=12-5

y=7

Therefore, the ordered pair (x, y) is (4, 7).

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we'll start off by making the recurring decimal value to a variable, hmmm say "x", thus x = 9.268686868......

we'll next multiply that value by a power of 10 so that the recurring decimal part moves over to the left of the decimal point, the recurring decimals in this case are "68", but we need to bring the 2 in front along as well, so to move all those three fellows, we'll need 1000.

we'll next multiply the same value by a power of 10 that brings two of the recurring decimals over, so 1000 gives us one "68" over, we'll need "6868" over to the left, so we'll use 100000, let's proceed.

[tex]\bf x = 9.2\overline{68}\qquad \qquad \begin{array}{llll} 1000\cdot x&=&9268.\overline{68}\\\\ 100000\cdot x&=&926868.\overline{68} \end{array}~\hfill \begin{array}{rllll} \stackrel{100000x}{926868.\overline{68}}\\\\ -\stackrel{1000x}{9268.\overline{68}}\\ \cline{1-1}\\ 917600.00 \end{array} \\\\\\ 100000x-1000x = 917600\implies 99000x=917600 \\\\\\ x = \cfrac{917600}{99000}\implies x = \cfrac{4588}{495}[/tex]

Answer: C)- (2,3)

Answer on edge

Answer:

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{b\cdot h}{2}[/tex]

b - base

h - height

We have b = 8cm, h = 10cm.

Substitute:

[tex]A=\dfrac{(8)(10)}{2}=\dfrac{80}{2}=40\ (cm^2)[/tex]

Final answer:

Fredric's gross pay for working 46 hours at an hourly rate of $8.50 is $391.00.

Explanation:

The question asks about calculating Fredric's gross pay given the number of hours he worked and his hourly rate. To find Fredric's gross pay, we multiply the number of hours worked by his hourly rate.

Fredric worked 46 hours last week and his hourly rate is $8.50. Therefore,

Gross Pay = Hours Worked × Hourly Rate

= 46 hours × $8.50/hour

= $391.00

So, Fredric's gross pay for the week is $391.00.

Fredric's gross pay for working 46 hours at $8.50 per hour is $391.00.

To find Fredric's gross pay, we multiply his hours worked by his hourly rate.

1. **Calculate total earnings for the week:**

[tex]\[ \text{Total earnings} = \text{Hours worked} \times \text{Hourly rate} \][/tex]

[tex]\[ \text{Total earnings} = 46 \text{ hours} \times \$8.50/\text{hour} \][/tex]

2. **Perform the multiplication:**

 [tex]\[ \text{Total earnings} = 46 \times \$8.50 \][/tex]  

[tex]\[ \text{Total earnings} = \$391.00 \][/tex]

So, Fredric's gross pay for the week was $391.00.

8

Because 16 ounces is a pound half of 16 is 8, 8 ounces is half a pound. :)

Answer:2.66

Step-by-step explanation:

Answer:

It costs $0.14 to drive your car for one mile.

Hope this helps :)

To calculate the cost of driving per mile, the price of gasoline ($4.2) should be divided by the car's fuel efficiency (30 mpg). This results in a cost of $0.14 per mile.

To find out how much it costs to drive per mile, we need to divide the cost of one gallon of gas by the number of miles that can be driven with that gallon. In this case, the cost of gasoline is $4.20 per gallon and the mileage of the car is 30 miles per gallon.

So, in this scenario, it costs approximately $0.14 to drive your car for one mile on the highway.

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Answer:

so y equals 6 if thats your question. What you said wus a statement not  a question.

Step-by-step explanation:

21-9=12

12/2=6

answer=6

y is 6

Answer:

9:25

Step-by-step explanation:

500 - 320 = 180

500:180

50:18

25:9

Answer:

female to male = 8:7

male to total = 14:25

Step-by-step explanation:

since no of boys= 500-320= 280

no of boys = 280

so

male : female = 8:7

male : total = 14:25

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that } \begin{cases} x= \frac{1}{3}\\ y= 12 \end{cases}\implies 12=k\left( \cfrac{1}{3} \right)\implies 12=\cfrac{k}{3} \\\\\\ 36=k~\hspace{10em}\boxed{y=36x}[/tex]

For direct variation, represented by y = kx, we replace y and x with the provided values. We solve for k to get 36. The direct variation equation is y = 36x.

In the case of direct variation, the equation is usually presented in the form of y = kx, where k is the constant of variation. To write an equation to represent the direct variation between x and y with the given values, we will begin by replacing y and x in our equation with the given values 12 and 1/3 respectively.

That gives us 12 = k(1/3). By solving for k, we obtain k = 12 / (1/3) = 36. Thus, the equation representing the direct variation between x and y is y = 36x.

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Answer:

5"

Step-by-step explanation:

You are copying a square of side 20 inches into a smaller version of it that is exactly 25% of the original size.

Notice that 25% can be written in fraction form as: [tex]\frac{25}{100} = \frac{1}{4}[/tex]

This gives us a clue about how to reduce the original dimension: "multiply it by [tex]\frac{1}{4}[/tex], which is the same as divide it by 4:

[tex]20" * \frac{1}{4} = \frac{20"}{4} = 5"[/tex]