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Simplify (x−5)(x2−2x−6)

x3−7x2+4x+30

x3−5x2+10x+30

x3−7x2+16x+30

x3+x2−4x+30

Answer:

To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means

Step-by-step explanation:

Answer:

the answer is the Means

Step-by-step explanation:

The range of values for the measurement 300 ±2% is 294 to 306. This involves considering the concept of accuracy and precision in measurements.

The question is asking for the range of measurements that can be made if the measurement is 300 units with a 2% uncertainty. In mathematical terms, an uncertainty of 2% means we can make measurements that are 2% less or 2% more than the given value.

First you must calculate 2% of 300 to find the value representing the uncertainty. This is (2/100) * 300 = 6. Hence, the measurement can be 6 units less than or more than 300.

Therefore, the range of measurements we can make is from (300 - 6) to (300 + 6). This results in a range of 294 to 306.

This concept is grounded in accuracy and precision. Accuracy describes the close proximity of a measurement to a specific value, while precision relates to the consistency of output using the same measurement process.

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Answer:

Width = 12 cm

Length = 14 cm

Step-by-step explanation:

Rectangle:

Let the width  = x cm

So, the length = (x+2) cm

Perimeter  = 52 cm

2 *(l+b) = 52

2 *(x+2  + x) =  52

   2 * ( 2x + 2) = 52

           2x + 2  = 52/ 2

           2x + 2  = 26

                 2x = 26- 2

                  2x = 24

                    x = 24/2

                    x = 12

Width = 12 cm

Length = 14 cm

Answer:

43

Step-by-step explanation:

The first three numbers are perfect squares:

9 = 3²

16 = 4²

25 = 5²

43 is not a perfect square.

43 does not belong because it cannot ve expressed as perfect square

Perfect numbers are squares of any integer

Given the sequence of numbers 9, 16, 25, 43

From the sequence we can see that the first 3 numbers are perfect squared written as 3², 4², 5², 43

We can see that 43 cannot be expressed as perfect square making it the odd one out of the numbers

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Answer:

k=8

The problem:

The function y=2x+2 and y=-x+k intersect at the point (2,6).

Find the value of k.

Step-by-step explanation:

(2,6) is a point contained by both y=2x+2 and y=-x+k.

Let's see if it actually on y=2x+2.

x=2,y=6

y=2x+2

6=2(2)+2

6=4+2

6=6 is true so it (2,6) is on y=2x+2.

Now we want k such that (2,6) is on y=-x+k.

6=-2+k

Add 2 on both sides:

8=k

So k=8.

Answer:

k = 8

Step-by-step explanation:

y = 2x + 2    

y = -x + k

2x + 2  = - x +k

3x = k - 2

x= 2 : k-2= 6

k = 8

Answer: A beryllium

Step-by-step explanation:

On the given picture, we  have a structure of atom, that has 4 electrons in total in its orbit.

We know that the atomic number= number of protons in it.

⇒ Atomic number of given atom = 4

Since According to the Modern periodic table, The element with atomic number 4 is beryllium.

Hence, the name of the atom shown= beryllium

Final answer:

The maximum number of hours a tutor can work at $35 an hour within a $420 budget is 12 hours per month.

Explanation:

The student asked how many hours a math tutor could work each month within a budget of $420 if the tutor charges $35 an hour. To calculate the maximum number of tutoring hours, divide the total budget by the hourly rate. This can be expressed as Maximum Hours = Total Budget / Hourly Rate.

In this case, the calculation would be:

Maximum Hours = $420 / $35 per hour

So, the math tutor can work a maximum of 12 hours per month on this budget since:

$420 / $35 per hour = 12 hours

Answer:

611 miles max

Step-by-step explanation:

250 = 0.09x + 195

-195               -195

  55    = 0.09x

/0.09     /0.09

x=611.11111111111

because of the context of the question, you'd have to round up

x = 611

Hope this helps! If you have any questions ask! :)

Answer:

-3/-11

Step-by-step explanation:

2 negitives make a positive and plus i got it right

The Equivalent Expressions fractions to 3/11 from the options provided are 9/33 and 15/55, as they can be obtained by multiplying the numerator and denominator of 3/11 by the same number.

To find equivalent fractions to 3/11, you would need to multiply or divide both the numerator and denominator by the same number. We need to identify options that result from such actions on 3/11.

   Option A: 6/21: No multiplicative or dividing relation can be found between 3 and 6 or 11 and 21, so this option is invalid.

   Option B: 9/33: This is obtained by multiplying both numerator and denominator of 3/11 by 3. So, this option is valid.

   Option C: 15/55: This is obtained by multiplying both numerator and denominator of 3/11 by 5. So, this option is valid.

   Option D and E: There is no such multiplier or divider that can obtain these fractions from 3/11, so both are invalid.

Thus, the equivalent expressions to 3/11 from the options provided are options B (9/33) and C (15/55).

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The probable question may be:

Find the equivalent expressions to 3/11 from the options below:

Options:

A) 6/21

B) 9/33

C) 15/55

D) 12/45

E) 21/71

Answer: The graph is attached.

Step-by-step explanation:

 We must design a graph so that the x-axis represents the Time in hours and the y-axis represents the Height in feet.

The plane takes off from this point:

[tex]A(0,0)[/tex].

We know that the plane climbs steadily for 30 minutes (which is 0.5 hours) until it reaches 40000 feet. Then, we can identify another point; this is:

[tex]B(0.5,\ 40000)[/tex]

It travels at that altitude for 2 hours (which indicates a horizontal line) and then it begins to descend to land, giving us another point:

[tex]C(2.5\ 40000)[/tex]

This takes 15 minutes (which is 0.25 hours) at a constant rate. Then, we get a final point:

[tex]D(2.75,\ 0)[/tex]

Knowing these points, we can draw the graph (Observe the image attached)

Answer:

SI=PTR/100

SI=2129*6*1.91/100

SI=24398.34/100

SI=243.9834$

The simple interest will be equal to $243.9834

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Given that:-

principal (p) = $ 530

Interest Rate (R) = 6%

Time (T) = 1 year

Simple Interest = I

The formula to calculate the simple interest is given below:-

Simple Interest (I)= P× T× R/ 100

SI = PTR/100

SI = (2129 x 6 x 1.91) / 100

SI = 24398.34/100

SI = 243.9834$

Therefore, the simple interest will be equal to $243.9834

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Answer:

489

Step-by-step explanation:

Answer:

60% is the answer

Step-by-step explanation:

it becomes 3/5 then 6/10 and 6/10 = 60%

Answer:

8%

Step-by-step explanation:

Answer:

a=200

b=80

I think this would be the answer

if not im sorry.

Using the principle of inclusion-exclusion, we determine that 80 employees use both work and private emails for correspondence. There are 120 employees in violation of company policy to use only their company email for business correspondence.

To solve the question, we can use the principle of inclusion-exclusion. First, we need to find the total number of people who use at least one type of email (work or private). Then we subtract the total number of people who use both to find those who are in violation of company policy.

Part (a)

Let A be the number of employees using work email, B be the number using private email, and C be the number not using email at all.

We know that A = 280, B = 200, and C = 40. We also have a total T = 400 employees.

Employees using both work and private email, represented as AB, can be found by: T - (A + B + C).

AB = 400 - (280 + 200 + 40)

AB = 400 - 520

AB = -120

However, since we cannot have negative users, this means that AB must be equal to 280 + 200 - 400 = 80. Therefore, 80 employees use both their work and private email for correspondence.

Part (b)

To find out how many are in violation of the policy, we just consider the number using private emails, minus those who use both emails (because they also use company email).

Violation = B - AB

Violation = 200 - 80

Violation = 120

Thus, there are 120 employees in violation of company policy regarding email use.

Answer:

-1.4 or -7/5

Step-by-step explanation:

Slope=y2-y1/x2-x1

Your two points are:

(-3,2) and (2,-5)

1) Plug in the values into the slope formula:

(-5-2)/(2--3)

2) Simplify:

-7/5

3) Write as decimal: - Optional

-1.4

The slope of the linear equation in the graph is -7/5.

If a linear equation passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In the graph we can see the two points (-3, 2) and (2, -5)

Replacing that in the formula for the slope we will get:

a = (-5 - 2)/(2 + 3) = -7/5

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Answer: Write it out and solve!

Step-by-step explanation: See the attached photo

If you have ANY questions PLEASE ask!

༼ つ ◕_◕ ༽つ

Answer:

cscwwp

Step-by-step explanation:

Answer:

  v = 1

Step-by-step explanation:

V - 10 = -9

V = -9 + 10

v = 1

Answer: C

Step-by-step explanation:

x-3y=5, y=x-7 *solve it

the answer is (8,1)

so..

C. (8,1) is a solution to both equations so it is a solution to the system

The pair (8,1) satisfies both of the given equations, so it is indeed a solution to the system, making option C correct.

For the first equation:

8 - 3(1) = 5
8 - 3 = 5
5 = 5 (True)

For the second equation:

1 = 8 - 7
1 = 1 (True)

Since both equations are satisfied when x is 8 and y is 1, the pair (8,1) is indeed a solution to both equations and therefore a solution to the system.

Answer:

76

Step-by-step explanation:

When you solve the equation you will do parentheses first (10+2) which equals 12 then you carry everything down. Next you will multiply 3 x 12 to get 36 then you carry the 20 and  2 down. Next you will multiply 20 by 2 to get 40 and then add 36 + 40 to get 76.

3(10+2) +20 x 2

3(12) +20 x 2

36 + 20 x 2

36 + 40

76 : answer

The expression 3⋅(10+2)+20⋅2 simplifies to 76.

The given expression is [tex]$$3 \cdot (10+2) + 20 \cdot 2[/tex]

Let's simplify it step by step:

1. First, perform the operation inside the parentheses: [tex]3 \cdot 12 + 20 \cdot 2[/tex]

2. Then, perform the multiplication: [tex]36 + 40[/tex]

3. Finally, perform the addition: [tex]76[/tex]

So, the expression is equal to 76.

A monomial is an expression that has ONE term.

Examples:

[tex]x^2[/tex]

[tex]1[/tex]

[tex]100000[/tex]

[tex]abc[/tex]

[tex]32^3[/tex]

[tex]xy^2[/tex]

[tex]3x^2y^4[/tex]

Answer:

No, because there is no whole number that when multiplied by itself gives 125

Step-by-step explanation:

The square root of 125 is 11.1803.

Some additional info:

[tex]\sqrt{125}=\sqrt{25 * 5} =5\sqrt{5}[/tex]

Hence, it is not a perfect square

No, because there is no whole number that when multiplied by itself gives 125.

To determine if 125 is a perfect square, we need to find a whole number that, when multiplied by itself gives 125.

We will try some numbers:

Since there is no whole number that, when multiplied by itself, equals 125, we will conclude that 125 is not a perfect square.

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Answer:

m = 21/16 or 1.325

Step-by-step explanation:

1. 9m/12 - m/12 = 7/8 (find common denominator)

2. 8m/12 = 7/8 (subtract)

3. 64m = 84 (cross multiply)

4. m = 84/64 (solve for m)

5. m = 21/16 (simplify fraction)

~1.325

The value of m is 21/16 or 1.3125.

Given,

3m/4 - m/12 = 7/8

We have to solve for m step by step.

We have,

3m/4 - m/12 = 7/8

Step 1.

Find LCM between 4 and 12 and make 3m/4 and m/12 into one fraction.

LCM of 4 and 12 = 12

( 3 x 3m - m ) / 12 = 7 / 8

( 9m - m ) / 12 = 7 / 8

8m / 12 = 7 / 8

Step 2.

Multiply both sides by 12.

12 x 8m/12 = 12 x 7/8

8m = ( 12 x 7 ) / 8

8m = 84 / 8

Step 3.

Dividing 8 into both sides.

8m/8 = 84 / (8 x 8)

m = 84 / 64

m = 4 x 21 / 4 x 16

m = 21 / 16 or m = 1.3125

Thus the value of m is 21/16 or 1.3125.

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Answer:

20

Step-by-step explanation:

The length and with of a square are the same. We know a square has 4 sides so we get 80 ÷ 4

The answer is 20.

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Answer:

Step-by-step explanation:

20

Answer:

6.5 feet is correct yes

Step-by-step explanation:

Answer: Wayne is 35, Mark is 34, and Stan is 33.

33+34+35 = 102

Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.

Let's solve the problem step by step:

Let's assume Stan's age to be x.

According to the given information, Mark's age is one more than Stan's age, so Mark's age is x + 1.

Similarly, Wayne's age is one more than Mark's age, so Wayne's age is (x + 1) + 1 = x + 2.

Now we know that the sum of their ages is 102, so:

x + (x + 1) + (x + 2) = 102

Combining like terms, we get:

3x + 3 = 102

Simplifying the equation, we get:

3x = 99

Dividing both sides by 3, we get:

x = 33

Now we can substitute the value of x in the previous equations:

Stan's age = 33

Mark's age = 33 + 1 = 34

Wayne's age = 34 + 1 = 35

So, Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.

Answer:

(6y + 1) (6y - 1)

Step-by-step explanation:

The binomial can be factored using the difference of squares formula.

:)

Completely validate answer:)

Answer:

15

Step-by-step explanation:

5÷1+3+7

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

5÷1= 5, then 5+3=8, then 8+7= 15

Answer:

y ≥ 6.

Step-by-step explanation:

-3y ≤ -18

We divide both sides by -3. Also because we are dividing by a negative value the inequality sign is flipped.

-3y / - 3 ≥ -18 / -3

y ≥ 6.

Answer: B) 25 feet

Step-by-step explanation:

The formula to find the circumference of a circle is given by :-

[tex]C=2\pi r[/tex], where r is the radius of the circle.    (1)

Given : The circumference (C) of the base of a grain silo is 160 feet.

Then,by using (1), we have

[tex]160=2(3.14)(r)\\\\\Rightarrow\ r=\dfrac{160}{2\times3.14}\\\\\Rightarrow\ r=25.4777070064approx25.5\text{ feet }[/tex]

Hence, the radius (r) of the silo= 25 feet