X^2-81
Factor the quadratic completely

Answer:

[tex]26[/tex]

Step-by-step explanation:

Step 1:  Divide

[tex]468 / 18[/tex]

[tex]26[/tex]

Answer:  [tex]26[/tex]

Answer

26

Step-by-step explanation:

If you divide it, it is 26 and to check you can do 18x26 and you'll get 468.

Answer:

Step-by-step explanation:

To answer this problem, you break the answer into two parts, one part for the true/false section and another part for the multiple-choice section.

True/False

There are 2 ways to answer each of the 4 true/false questions, T or F.

The number of ways to answer the trur/false section is [tex]2\times2\times2\times2=2^4=16[/tex].

Multiple-Choice

There are 5 ways to answer each question so the number of ways to answer this section is

[tex]5\times5\times5\times5\times5=5^6=15625[/tex]

You can answer the T/F section in 16 ways and the M/C section in 15625 ways, so the entire exam can be answered in

[tex]16\times15625=250000[/tex] ways!

It's mind-boggling that only 1 of those ways gets a score of 100%!

Answer:

-2x+3y=7

or

2x-3y= -11

Step-by-step explanation:

-2x+3y= -4, which is Ax+By=C

A=-2 B=3 C=-4

m(slope)= -A/B

m= -(-2)/3

m= 2/3

y-y1= m (x-x1)

y-3= 2/3 (x-1)

Multiply by 3 cancels out the fraction

3y-9= 2 (x-1)

Distributive property

3y-9= 2x-2

-2x+3y-9= -2

From here it could go 2 ways:

1. -2x+3y= 7

or

2. 2x-3y+9= -2

so

2x-3y= -11

Hope this helps

Answer:

43

Step-by-step explanation:

3^3= 27

4^2= 16

27+16=43

Answer:

The value of 3 to the 3rd power + 4 to the 2nd power is 43

Step-by-step explanation:

3^3= 27

4^2= 16

27+16= 43

Answer: D.

Step-by-step explanation:

7 x (2+3) = 7 x (3+2)

7 x (5) = 7 x (5)

35 = 35

Due to the Commutative Property of Multiplication

Answer:

D

Step-by-step explanation:

7 times 5 equal 35,

and 7 times (3+2) equals 35,

so the D equation are right.

Answer:

reflecting across y-axis

Step-by-step explanation:

I hope this helps :)

Answer:

6

Step-by-step explanation:

It makes 19 copies in 3 minues and 15 seconds

3 minutes and 15 seconds is 195 seconds

195 ÷ 19 = 10 approximately which means the machine makes 1 copy every 10 seconds and 6 copies per minute

Answer: 5.846 ~ 6copies

Step-by-step explanation:

A copy machine makes 19copies in 3minutes and 15secs

How many copies in per minute

I.e how many copies per minute

Looking at this,

Convert the 3mins 15secs all into mins

I.e convert the 15secs into mins

Remember that 60secs makes 1mins

So 15secs will make x

Cross multiply

15secs ×1= 60secs ×x

X= 15/60

X= 0.25mins

Add to the already 3mins

That makes

=3mins+0.25mins

=3.25mins

Now,

19copies done in 3.25mins

Let the unknown copies be h

19copies in 3.25mins

H copies in 1mins

Cross multiply

H×3.25mins=19×1mins

3.25H=19

H=19/3.25

H= 5.846copies

H=~6copies

So the copying machine makes approximately 6copies per minute

Answer:

8

Step-by-step explanation:

2x2 is 4 and x 2 is 8. I think im right?

Answer: 8

Step-by-step explanation:

Answer:12, 12, 16, 22

Step-by-step explanation:

1. The number that occurs most is the mode

2. The range is the difference between the highest number and the lowest number.

3. The median in this case is the mean of the two middle numbers

A possible set of 4 numbers that fulfil the conditions of having a mode of 12, a median of 14 and a range of 10 could be: 11, 12, 12, 21.

In this problem, we need to find 4 numbers that meet the given statistical conditions - A mode of 12, a median of 14, and a range of 10. The mode is the most frequently occurring number. As there are only 4 numbers, for 12 to be the mode, it must appear at least twice. The median is the middle value when numbers are put in ascending order, so the middle numbers in our 4 number series must average to 14. Finally, the range is the difference between the largest and smallest numbers, which is stated as 10.

Using the above conditions, an example set could be: 11, 12, 12, and 21. Here, 12 is the mode (appears most frequently), 14 is the median (average of the two middle numbers 12 and 12) and 21-11 gives a range of 10.

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Answer:

[tex]x=7[/tex]

Step-by-step explanation:

combine 2x and 4x to get 6x. Add 5 to 37 to get 42. divide the 6 and 42 to get x=7

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]17^{2} -8.5^{2} = 216.75[/tex]

[tex]\sqrt{216.75}[/tex] = 14.72243186

Now, we use another formula to find the area of the triangle: [tex]\frac{Base*Height}{2}[/tex]

14.72243186 × 17 = 250.2813416

250.2813416 ÷ 2 = 125.1406708

Answer:

4.

Step-by-step explanation:

Hope this helps!

Answer:

k² − 4k + 4

Step-by-step explanation:

recall the following property of perfect square quadratics

(a-b)² = a²- 2ab + b²  --------------( eq1)

We are given:

k² − 4k + ? --------------(eq 2)

and we are asked to determine ? for which the expression above is a perfect square.

Manipulating the given equation:

k² − 4k + ?  (factor out 2 from the 2nd term), we get:

k² −(2)(k)(2) + ?

now we compare this with the right side of  (eq1)

a²- 2 a b + b²

we can clearly see that a = k and b = 2,

substituting this back into eq 2,

k² − 4k + 2²

= k² − 4k + 4

Answer:

6 inches

Step-by-step explanation:

The volume of a box can be calculated with the simple formula [tex]l\cdot w\cdot h[/tex], where l represents length, w represents width, and h represents height. You know that [tex]6\cdot 13\cdot h=468[/tex], so dividing both sides by 13 and 6 yields h=6 inches. Hope this helps!

Answer:

The height is 6

Step-by-step explanation:

468 divided by (13 x 6) = height

13 x 6 = 78

468 divided by 78 = 6

Answer:

112

Step-by-step explanation:

When something is related proportionally, that means that multiply by some value constant k, will result in the output.

Thus, to find k, all you have to do is divide y/x

14/6 = 7/3 = k

kx = y

48*7/3 = y = 112

Answer:

Im not to sure but 93

Step-by-step explanation:

if the width is 79, then 79 plus 79 is 158

and 344 minus 158 is 186

and 186 divided by two is 93

hope that helped :)

Answer:

93 yards

Step-by-step explanation:

When you have a rectanglular field, you can double the width, and then double the length, then add them together to get the perimeter.

If the perimeter is 344, and the width is 79, we can double it to find the value of 2 of the sides, because, if you are on a rectangular field, double the width, then you have to add it to the lengt doubled.

79+79=158

We can subtract 344 by 158 to get the doubled version of the length. After we find the doubled version of the length, we have to divide that by 2.

344-158=186

Now, like I said, we have to divide 186 by 2 to find how much the length is.

186/2=93

The length is 93 yards.

Answer:

Is 1

Step-by-step explanation:

Just got it right people. Trust me

Answer:

1/2.

Step-by-step explanation:

There are 2 quadrilaterals which have 4 congruent sides in the list: A square and a rhombus, The square  is the one with four right angles.

So the required  probability  is 1/2.

The probability that the shape has four right angles, given that it has four congruent sides is 1/2.

Probability is the ratio that shows the likelihood of an event occurring from a given set of other events.

It is given that there are 5 shapes.

There are 2 shapes that have congruent sides. They are rhombus and square.

There are 2 shapes that have right angles. They are the square and the rectangle.

P( shape has four right angles, given that it has four congruent sides ) = number of shapes with four congruent sides and four right angles/number of shapes with congruent sides = 1/2

Therefore, we have found that the probability that the shape has four right angles, given that it has four congruent sides is 1/2.

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The parallelogram with a base of 13 inches, length of 24 inches, and height of 18 inches has an area of [tex]\(234 \, \text{in}^2\)[/tex].

Let's break down the steps to calculate the area of the parallelogram in more detail:

1. Identify the given values:

  - Base (b): 13 inches

  - Height (h): 18 inches

2. Use the formula for the area of a parallelogram:

  A = b * h

where b is base, h is height

3. Substitute the given values into the formula:

 [tex]\[ A = 13 \, \text{in} \times 18 \, \text{in} \][/tex]

4. Perform the multiplication:

 [tex]\[ A = 234 \, \text{in}^2 \][/tex]

So, the detailed steps show that the area (A) of the parallelogram is [tex]\(234 \, \text{in}^2\)[/tex]. This means that the parallelogram with a base of 13 inches, length of 24 inches, and height of 18 inches has an area of [tex]\(234 \, \text{in}^2\)[/tex].

Answer:

0.0625

Step-by-step explanation:

Answer: [tex]4^{-2}[/tex]

Step-by-step explanation:

Equation:

[tex]4^4*4^{-7} *4^1[/tex]

When multiplying exponents with the same base, you can add the exponents together to find your answer:

4 + (-7) + 1

Answer:

x=-36

Step-by-step explanation:

Add the 7/2x +1/2x to be 8/2x which means that it'll be 4x=18=9/2

then subtract 9/2x on both sides so itll be

[tex]4x=18+\frac{9}{2} x[/tex]

-9/2x       -9/2x

[tex]-\frac{1}{2} x=18[/tex]   because if you do 8/2-9/2 it's -1/2

then multiply the reciprocal to both sides so

[tex](\frac{2}{-1})(-\frac{1}{2}x)=(\frac{2}{-1})(18)[/tex]

which then cancels out -1/2 and makes it

x=-36

Volume of a cylinder will be 113.112cm³.

The volume of a cylinder can be calculated using the formula

V = π r² h,

where r is the base radius and h is the height

Plugging in the values, we get

V = 3.142 × (2 cm)² × 9 cm

V = 113.112 cm³

The interval of points less than -4 is represented as (-∞, -4) in interval notation. This represents all the numbers to the left of -4 on the number line, not including -4.

In Mathematics, when we refer to the interval of points that are less than a given number, we are discussing a range on a number line. For the question at hand, the interval of points that are less than -4 will consist of all numbers to the left of -4 (not including -4 itself). In interval notation, we typically express this as (-∞, -4). Here, the parenthesis ( as opposed to a bracket [ ) signifies that -4 is not included in our interval. Infinity ( ∞ ) is used to show that the range extends indefinitely.

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Answer:

r

Step-by-step explanation:

got right on my test on edge

Answer:

6

Step-by-step explanation:

Anastasia thinks of a positive integer, say x

Barry doubles Anastasia's number.

Connor trebles Barry's number.

Damion multiplies Connor's number by 6.

Total of the Four Numbers=x+2x+3x+18x=24x

To find the value of x that makes 24x the smallest  perfect square

First, express it as a product of prime factors

[tex]24x=2 X 2 X 2 X 3 X x=2^3X3Xx\\$Multiply both sides by 2 and 3 to make the powers even\\24 X 2 X 3=2^3X3X2 X 3=2^4X3^2\\$24 X [2 X 3]=144 which is a perfect square\\Therefore, x=6[/tex]

Anastasia's initial number could be denoted as 'a'. This number is modified by Barry, Connor, and Damion, and the sum of all these numbers is a perfect square. The smallest positive integer for 'a' that achieves this is 1.

Let's denote the number that Anastasia thought of as 'a'. Barry doubles this number, so his number becomes '2a'. Connor triples Barry's number, so his number becomes '6a'. Damion multiplies Connor's number by 6, so his number becomes '36a'. The total of these four numbers must be a perfect square. So the sum 'a + 2a + 6a + 36a' equals a perfect square. That simplifies to '45a', which is equal to a perfect square.

The smallest positive integer when multiplied by 45 and is a perfect square would be when 'a = 1' as 45 itself is not a perfect square. So, the smallest positive integer that Anastasia could have thought of is 1.

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Answer:

hope this helps you to understand

Answer:

75x + 375 [tex]\geq[/tex] 7500

      -375       -375

_________________

75x [tex]\geq[/tex] 7125

divide both sides by 75

x is greater than or equal to 95

95 or more to reach goal

Step-by-step explanation:

You may have wondered what Euler's Identity means

[tex]e^{i \pi} = -1[/tex]

I hate to break it to you but it just means

[tex]\cos \pi + i \sin \pi = -1 + 0i[/tex]

Equating respective real and imaginary parts,

[tex]\cos \pi = -1, \qquad \sin \pi = 0[/tex]

which you probably already knew.

From the first part,

[tex]\pi = \arccos(-1)[/tex]

That's in the principal value range of cosine.

[tex]\pi = \textrm{Arccos}(-1)[/tex]

Answer: π

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Answer:

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Step-by-step explanation:

Answer:

A:⅕ and B:60

Step-by-step explanation:

⅕•300/1=300/5=60

Answer:

3/11

Step-by-step explanation:

You have to divide the factors, so you would multiply 2 times 9 over 3 times 22.  When you multiply them together you get 18 over 66. If you simplify that then you would get 3/11