What is the factored form of the following expression?

W^2 + 18w + 77

Answer:

answer is 580 sq. ft.

Step-by-step explanation:

Answer:

Domain: all integers where n ≥ 1

Step-by-step explanation:

We are given that a geometric sequence has [tex]a_1 = 5[/tex] and the common ratio [tex]r=-3[/tex].

We know that the general form of a geometric sequence is given by:

[tex]a_n=ar^{n-1}[/tex]

Substituting the given values in it to get:

[tex]a_n=5(-3)^{n-1}[/tex]

Now writing it as a function:

[tex]f(n)=5(-3)^{n-1}[/tex]

[tex]f(1)=5[/tex]

So the geometric series starts from n = 1, therefore the domain = n≥1

Answer:

D) [tex]y\:<\:2x+2[/tex], [tex]y\:>\:-x[/tex]

Step-by-step explanation:

The blue boundary line has a y-intercept of 2 and a slope of  2.

It has equation : [tex]y=2x+2[/tex]

Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is

[tex]y\:<\:2x+2[/tex]

The blue boundary line passes through the origin and has slope [tex]-1[/tex].

Its equation is [tex]y=-x.[/tex]

Since the boundary line is not solid and the right half-plane is shaded, its inequality is [tex]y\:>\:-x[/tex]

The correct choice is D.

The correct choice is D: y < 2x + 2, y > -x.

The blue boundary line is represented by the equation y = 2x + 2.

Since the lower half-plane is shaded, the inequality is y < 2x + 2.

The blue boundary line also passes through the origin and has a slope of -1, which gives it the equation y = -x.

Since the right half-plane is shaded, the inequality is y > -x.

So, the correct choice is D: y < 2x + 2, y > -x.

for such more question on boundary line

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Answer:

[tex]x-1<n<3x+5.[/tex]

Step-by-step explanation:

If a, b and c are the lengths of the triangle's sides, then

[tex]a+b>c,\\ \\a+c>b,\\ \\b+c>a.[/tex]

Since

[tex]a=2x+2,\\ \\b=x+3,\\ \\z=n,[/tex]

then

[tex]2x+2+x+3>n\Rightarrow n<3x+5,\\ \\2x+2+n>x+3\Rightarrow n>1-x,\\ \\x+3+n>2x+2\Rightarrow n>x-1.[/tex]

Thus,

[tex]x-1<n<3x+5.[/tex]

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is A, 3x + 5 > n > x - 1.

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b) > c

(b+c) > a

(c+a) > b

Given the three sides of the triangle 2x + 2 ft, x + 3 ft, and n ft. Now using the triangle inequality theorem we can write,

2x + 2 + x + 3 > n  → 3x + 5 > n

2x + 2 + n > x + 3 → n > -x + 1

x + 3 + n > 2x + 2 → n > x - 1

Since x can not be a negative term therefore, we can write,

3x + 5 > n > x - 1

Hence, the correct option is A, 3x + 5 > n > x - 1.

Learn more about Triangle Inequality Theorem:

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Answer:

[tex]9\sqrt{6}[/tex]

Step-by-step explanation:

Multiply the numbers outside of the radicand, which is 3 x 3 = 9.

Then multiply the numbers inside of the radicand, which is 2 x 3 = 6.

Therefore the answer is [tex]9\sqrt{6}[/tex].

Edit:

Is this what the problem looks like?

[tex]3\sqrt{2}[/tex] x [tex]3\sqrt{3}[/tex]

Find the number of apples in 8 pounds:

8 pounds x 16 ounces per pound = 128 ounces.

Divide total cost by cost for 8 pounds:

168 / 28 = 6

Multiply 6 by 128 ounces:

128 x 6 = 768 total ounces for $168.

Now divide total ounces by 5 ounces per apple:

768 / 5 = 153.6, round up to 154 apples.

Answer:

For $168 you could buy approximately 48 pounds of apples.

Step-by-step explanation:

Answer:

It would be blue and yellow

Step-by-step explanation:

Answer:

[tex]10.3\ mi[/tex]

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

[tex]A(10,8)\\B(1,3)[/tex]

substitute the values

[tex]d=\sqrt{(3-8)^{2}+(1-10)^{2}}[/tex]

[tex]d=\sqrt{(-5)^{2}+(-9)^{2}}[/tex]

[tex]d=\sqrt{25+81}[/tex]

[tex]d=\sqrt{106}[/tex]

[tex]d=10.3\ mi[/tex]

Answer:

53 miles per hour

Answer:

53 miles

Step-by-step explanation:

Total Distance: 265

Then, take that number and divide by 5. 265/5

= 53

The volume of a rectangular prism or cube is: Length × Width × Height

In this case,

- the length of the prism is 2 feet

- the width of the prism is 1.5 feet

- the height of the prism is 1.5 feet

Multiply the above to find the volume: 2 × 1.5 × 1.5 = 4.5 ft³

Keep in mind that volume is represented in cubic units!

[tex]\text{Hey there!}[/tex]

[tex]\text{Formula: v = lwh}[/tex]

[tex]\text{l = length}\\\text{w = width}\\\text{h = height}[/tex]

[tex]\text{L = 2}[/tex]

[tex]\text{W = 1}\frac{1}{2}\text{ also known as 1.5}[/tex]

[tex]\text{H = 1}\frac{1}{2}\text{ also known as 1.5}[/tex]

[tex]\text{1}\frac{1}{2}\times1\frac{1}{2}\text{ = }\frac{3}{2}\times\frac{3}{2}=2\frac{1}{4}[/tex]

[tex]4\frac{1}{2}\times2=4\frac{1}{2}[/tex]

[tex]\boxed{\boxed{\bf{Answer: Fraction\rightarrow4\frac{1}{2}ft^2\ \& Decimal: 4.5ft^2}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

sure

Step-by-step explanation:

unit rates are similar to rates.

rates are : 20/2

and unit rates are very similar: 10/1

unit rates are never 5/4, 6/10, 9/2, or 3/2 because unit rates are always loney and single having the denominator one

ex: 2/1, 4/2, 6/2, 8/2, 10/2

2/1 in the sequence is the only unit rate. and remember there can not be more than one unit rate in a sequence.

plz give me a brainliestttttt

Answer:

Unit Rates are any numbers over one.

For example:

A car is driving 60 miles per hour. So that is a unit rate because it is expressed over one.60/1

Step-by-step explanation:

Answer:

1) Factor the denominator and the numerator of each fraction.

2) Simplify.

3) Find the Least common denominator (LCD).

4) Rewrite the LCD. Divide it by the denominator of the first fraction and multiply the result of the division by its numerator (The LCD is the same denominator of the second fraction, so its numerator stays the same).

5) Apply Distributive property on the numerator and on the denominator.

6) Add like terms.

Step-by-step explanation:

The steps required to determine the sum of the two expressions are:

1) Factor the denominator and the numerator of each fraction:

[tex]\frac{3x+6}{x^2-x-6}+\frac{2x}{x^2+x-12}=\frac{3(x+2)}{(x-3)(x+2)}+\frac{2x}{(x-3)(x+4)}[/tex]

2) Simplify (Remember that [tex]\frac{(x+2)}{(x+2)}=1[/tex]):

[tex]\frac{3}{(x-3)}+\frac{2x}{(x-3)(x+4)}[/tex]

3) Find the Least common denominator (LCD). In this case this is:

[tex]LCD=(x-3)(x+4)[/tex]

4) Rewrite the LCD. Divide it by the denominator of the first fraction and multiply the result of the division by its numerator. As the LCD is the same denominator of the second fraction, its numerator stays the same:

[tex]=\frac{3(x+4)+2x}{(x-3)(x+4)}[/tex]

5) Apply Distributive property on the numerator and on the denominator:

[tex]=\frac{3x+12+2x}{x^2+x-12}[/tex]

6) Add like terms:

[tex]=\frac{5x+12}{x^2+x-12}[/tex]

Answer:

x-5 edg

Step-by-step explanation:

Answer: Simplifying

4x = 4x

Add '-4x' to each side of the equation.

4x + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0

0 = 4x + -4x

Combine like terms: 4x + -4x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Answer:

Nothing further can be done to this.

Step-by-step explanation:

There is nothing further that can be done with this equation.

The expression x^5 Y^6 doesn't simplify further as the bases differ. It means that 'x' is multiplied by itself five times, and 'y' is multiplied by itself six times.

The expression x^5 Y^6 is already in simplest form. Expressed in plain English, this represents 'x' raised to the power of 5, multiplied by 'y' raised to the power of 6. The exponents here denote that we are multiplying 'x' and 'y' by themselves for a specific number of times. For example, 'x' is multiplied by itself five times, and 'y' is multiplied by itself six times, as represented by this expression.

I want to let you know that the exponents are not to be combined in any way because the bases (x and y) are different. In other words, x^5 and Y^6 remain separated in expression. They cannot be simplified further.

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Answer:

x = 1.56  or x = -2.56

Step-by-step explanation:

From the equation;

x2 +x − 4 = 0

a = 1 , b = 1, and c = -4

x = (-b ± √(b² -4ac))/2a

  = (-1 ± √(1²- 4×1×-4))/2

  = ( -1 ± √(17)/2

  = (-1 ± 4.12)/2

  = (-1 + 4.12)/2 or (-1 - 4.12)/2

  x = 1.56  or x = -2.56

Answer:

The number of cones sold was 88

Step-by-step explanation:

Let

x------> the number of cones sold

y----> the number of sundaes sold

we know that

[tex]1.10x+2.35y=294.20[/tex] ----> equation A

[tex]x+y=172[/tex] ----> equation B

using a graphing tool

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (88,84)

see the attached figure

therefore

The number of cones sold was 88

The number of sundaes sold was 84

Answer:

c

Step-by-step explanation:

I think its c but I could be wrong

Mode: the number that occurs the most in a set of data.

Although it's optional, I always like to order the numbers from least to greatest so it makes it easier to see what number repeats more than anything else.

Least to greatest - 40,41,42,43,44,45,46,47,48,49,49

The mode for this set of data is 49. The mode is 49 because 49 is the only number that occurs more than once. No other numbers in this set of data appear twice except 41.

Answer:

25/216 or 0.1157

Step-by-step explanation:

The probability of getting a 6 is 1/6.  

The probability of not getting a 6 is 5/6

We roll a die 4 times and want 2 sixes, and 2 not sixes.  

We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this...

(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157

The long hand way of solving this is to list the 6 ways we can roll our desired result along with their probabilities...

We could get

6, 6, not 6, not 6      (1/6)(1/6)(5/6)(5/6) = 25/1296

6, not 6, 6, not 6       (1/6)(5/6)(1/6)(5/6) = 25/1296

6, not 6, not 6, 6       (1/6)(5/6)(5/6)(1/6) = 25/1296

not 6, not 6, 6, 6       (5/6)(5/6)(1/6)(1/6) = 25/1296

not 6, 6, not 6, 6       (5/6)(1/6)(5/6)(1/6) = 25/1296

not 6, 6, 6 not 6        (5/6)(1/6)(1/6)(5/6) = 25/1296

There are 6 different way this can happen, each having a probability of 25/196.  We add up the probabilities, getting 150/1296, which reduces to

25/216

Answer:

11.6%

Step-by-step explanation:

[tex]\frac{4!}{2!\left(4-2\right)!}\left(\frac{1}{6}\right)^2\left(\frac{5}{6}\right)^2 = 0.116 = 11.6[/tex]

your answer is 1 :) hope this helps

Answer:

It's B) 1

Step-by-step explanation:

(3)(2x)+(3)(−1)=( 1 2 )(4x)+( 1 2 )(−2)+2(Distribute)

6x−3=2x+1

6x−3−2x=2x+1−2x

4x−3=1

4x−3+3=1+3

4x/4 = 4/4

x = 1

i know confusing

Answer:

i did this question b4 but completely forgot the answer ://

Step-by-step explanation:

11.55

sto you multiply sothat you can get the anster

a/b=c

By mutiplying both side by b and multiplying both side by 1/c we will get:

b=a/c

Answer:

b = a ÷ c

Step-by-step explanation:

Here,

a ÷ b = c is given

Now, For b

a ÷ b = c

b = a ÷ c

Thus, The answer is b = a ÷ c

-TheUnknownScientist

Answer:

11/15

Step-by-step explanation:

If you convert them to a decimal 11/15 would be more

Answer:   B) (-x, y)

Step-by-step explanation:

If a coordinate is reflected across the y-axis, the y-coordinate stays the same but the x-coordinate changes signs.

Consider (1, 2) as the original point.  Now reflect it across the y-axis.  The new coordinate is (-1, 2). The y-coordinate stayed the same (2) but the x-coordinate changed signs (1 → -1).

6r -4 +8(15-r) + 23

expand brackets

6r -4 +120 -8r + 23

collect like terms

120 + 23 - 4 = 139

6r - 8r = -2r

139 - 2r

139 - 2r = -3r + 137

-137 from both sides

-2r = -3r -2

add 3r

R = -2

sub in both equations and see if you get the same value

-3r + 137

-3 (-2) + 137

6 +137 = 143

139 - 2r

139 - 2(-2)

139 + 4

143

yes they are equal

Final answer:

After simplifying the given expression by combining like terms and using the distributive property, we find that the simplified form is indeed -3r + 137, which means it is equivalent to the original expression.

Explanation:

To determine if the expression -3r + 137 is equivalent to the given expression 6r – r + 8(15 – r) + 23 – 6, we need to simplify the given expression.

Let's simplify the given expression step-by-step:

Therefore, the simplified form of the given expression is indeed -3r + 137, which means it is equivalent to the given expression.

Answer:

p²-q²

Step-by-step explanation:

(p+q)×(p-q)

=p×(p-q)+q×(p-q)

=p×p-p×q+p×q-q×q

=p²-p×q+p×q-q²

=p²-q²

Answer:

I think they are all correct but 2 and 4 might be wrong. (I don't see the shapes very well.)

I can't see that well but on #2, can't you half it? If you can, it has 1 line of Symmetry. If you can't, it has no lines of symmetry  

On #4, you might be able to half it from the lower left corner and the upper right corner. If it works, there is 1 line of symmetry, if it doesn't it has none

V =pie r2 h

= 22/7 *6*6*18

= 2036.57

can you put a picture of the problem so i know what you need help with please

unfortunately, there is no chart below, so we can't help