What is sum of the geometric series?

if the roots of the polynomial function are -9 and 7 - i, then the other factor of the polynomial function is x - (7  + i)

The roots of the polynomial function are given as:

-9 and 7 - i

The root is 7 - i is a complex number.

This means that its conjugate must also be a root of the factor.

The conjugate of 7 - i is 7 + i

So, we have:

x = 7 + i

Equate to 0

x - (7  + i) = 0

Hence, the other factor of the function is x - (7  + i)

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Answer:

A on edge 23

Step-by-step explanation:

trust me bro

Answer:

"=" and "<"

Step-by-step explanation:

|9| = |-9|

|9| and |-9| indicates the absolute value of 9 so we use equality sign

7.5 = 7.50

7.5 is equal to 7.50 adding zeros to the right side of an expression won't change its quantity

For example:

I say I have 7.5 dollars and my friend says he has 7 dollars and 50 cent

We have same amount of money.

-3.31 is smaller than -3.13 because it's further from point zero in number line so we use < for this expressions.

Answer:

the correlation  coefficients is a statistical calculation

that used to examine the relationships between two sets of data.

Step-by-step explanation    Hope this helps :)

Answer:

I hope this helps................

Area of larger :- length× width

[tex]27 \times 36 = 972 {in}^{2} [/tex]

Area of the smaller screen= 40% of larger area

[tex] area = \frac{40}{100} \times 972 \\ area = \frac{4 \times 972}{10} \\ area = \frac{3888}{10 } = 388.8 {in}^{2} [/tex]

Answer: 500%

Step-by-step explanation: 300/60 = 5

5 = 500%

To check work:

60*5 = 300

Answer:

[tex]volume \: = 1130.4 {m}^{3} [/tex]

Step-by-step explanation:

The formula to find the volume of a cylinder is:

[tex]v = \pi {r}^{2} h \\ basically \:it \:is\: the\: area \:of \:the \:circular \\ \:base\: \times\: \:height \:of \:the \:cylinder[/tex]

Note that the radius is half the diameter (12), therefore the radius is 6*

According to the diagram we know that:

[tex]\pi = 3.14 \: \: \: r = 6 \: \: \: h = 10 \\ \\v = \pi {r}^{2} h\\ \\ v = (3.14)( {6}^{2} )(10) \\ \\ v = (3.14)(360) \\ \\ v = 1130.4 {m}^{3} [/tex]

Answer:

Item #1

[tex]-\frac{27}{8}[/tex] fraction form

[tex]- 3.375[/tex] decimal form

[tex]-3\frac{3}{8}[/tex] mixed number

Item #2

$7.98 (rounded to nearest cent)

Answer:

As you wish love, 2sqrt x 3sqrt8 = 12sqrt6

Step-by-step explanation:

2sqrt3x3sqrt8

Simplify,

2sqrt3 x 3 x 2sqrt2

Evalutate,

12sqrt6

Answer:

[tex]x = 1.48 \: and \: y = - 1.38[/tex]

Step-by-step explanation:

[tex]first \: equation[/tex]

[tex]x - 4y = 7[/tex]

[tex]second \: equation[/tex]

[tex]5x + y = 6[/tex]

[tex]from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y[/tex]

[tex]x =7 + 4y \: {equation \: 3}[/tex]

[tex]substitutefor \: x \: in \: equation \: 2[/tex]

[tex]5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ [/tex]

[tex]y = \frac{ - 29}{21} [/tex]

[tex]y = - 1.38[/tex]

[tex]subsitute \: for \: y \: into \: equation \: 3[/tex]

[tex]x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48[/tex]

Answer:

If the angles are 9 degrees 6 degrees and 12 degrees it is acute

Step-by-step explanation:

Answer:

a=4

Step-by-step explanation:

what minus 4=8? its 12. 12-4=8 so

what times 3 is 12? 4.

3*4=12

12-4=8

a=4

answer : 9.5 because you subtract and then divide by 2

Answer:

Step-by-step explanation:

3 ten-thousands:

41 thousands:

45 hundreds:

49 tens:

8 ones:

Add them all up:

Answer:

∠ FLW = 112°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FLW is an exterior angle of the triangle , then

∠ FLW = x + 32 , that is

2x - 48 = x + 32 ( subtract x from both sides )

x - 48 = 32 ( add 32 to both sides )

x = 80

Then

∠ FLW = 2x - 48 = 2(80) - 48 = 160 - 48 = 112°

Answer:

14014

Step-by-step explanation:

base of stone pyramid=154

height=91

b×h

154×91=4014

Answer:

C

Step-by-step explanation:

given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] bc sinA

the 2 sides are b = 4, c = 6 and ∠ A = 35° , then

A = [tex]\frac{1}{2}[/tex] × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )

Answer:

46.7

Step-by-step explanation:

Sp-Cp

$44-$30=$14

14/Cp x 100

= 14/30 x 100=46.66%

Ans= 46.7%

Proof

% x CP

46.66/100 x $30= $13.998

$13.998= SP-CP

Hope it helps

Jim's got profit percentage is 46.67%

Profit percentage is refer to "the amount of profit that has been incurred in terms of  percentage".

According to the question,

Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.

In order to find profit percentage we have to use formula.

Profit percentage = [tex]\frac{selling price - cost price }{cost price}[/tex] × 100

= [tex]\frac{(44-30)}{30}[/tex] × 100

= [tex]\frac{14}{30}[/tex] × 100  

= 46.6667%  ≈ 47%

Hence, Jim's got profit percentage is 46.67%.

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The number of minutes that she practiced in a day will be 175 minutes per day.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Yaritza practices the piano for 875 minutes in 5 weeks.

The number of minutes that she practiced in a day will be given as,

Rate = 875 / 5

Rate = 175 minutes per day

The number of minutes that she practiced in a day will be 175 minutes per day.

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The measure of each angle and their reasoning are explained for all in the explanation below.

We are given that;

m∠8=23°

a). From the given image, we see that;

m∠1 and m∠8 are supplementary angles and as such they sum up to 180°;

Thus; m∠1 + m∠8 = 180°

m∠1 = 180° - m∠8

m∠1  = 180 - 23

m∠1  = 157°

b). We see that m∠1  and m∠2 are angles that form a straight line.

Sum of angles on a straight line equals 180°. Thus;

m∠1 + m∠2 = 180°

m∠2 = 180 - 157

m∠2 = 23°

c). We see that m∠3 and m∠1 are vertically opposite angles and they must be equal. Thus

m∠3 = m∠1

Thus; m∠3 = 153°

d). We see that m∠4 and m∠2 are vertically opposite angles and they must be equal. Thus

m∠4 = m∠2

Thus; m∠4 = 23°

e). We see that m∠5  and m∠1 are corresponding angles and are therefore equal. Thus;

m∠5 = m∠1

m∠5 = 157°

f). We see that m∠6 and m∠8 are vertically opposite angles and as such;

m∠6 = m∠8

Thus, m∠6 = 23°

g). We see that m∠7 and m∠5 are vertically opposite angles and are therefore equal. Thus;

m∠5 = m∠7

m∠5 = 157°

Answer:

-1/2 = x
OR
-0.5 = x

Step-by-step explanation:

1) Isolate x from the equation by making it equal to zero
(Reminder that everything crossing over to the other side of the equation changes it's symbols from positive to negative, and vice-versa is the original symbol was negative)

-7 + 13 + 8x - 2 = 0
-7 + 13 - 2 = -8x

2) Add up common terms on the left side

-9 + 13 = -8x
4 = -8x

3) Divide the entire equation by the number that would leave "x" by itself the factor or number that leaves the number by itself is negative eight since its the number with the equation (-8)

4/-8 = -8x/-8
-1/2 = x
OR
-0.5 = x

Hope this helps :)
Also, if you can is it ok if you can give me brainliest on this?

Answer:

0/10 is the correct answer

Answer:

Please give me brainly!! I would really appreciate it. Thank you! <3

d=10

Step-by-step explanation:

►Use The Distance Formula d=√(x₂-x₁)²+(y₂-y₁)²◄

1. Fill In The Given Values (-4, 4) and (6,4)

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(6--4)²+(4-4)²

2. Simplify

d=√(6--4)²+(4-4)²

d=√10²+0²

d=√100+0

d=√100

d=10

Answer:

No, it is not a right triangle

Step-by-step explanation:

A scalene right triangle comprised of integers must have the same ration as 5:4:3, and 5:6:8 is not it.

Answer: Heyaa!

Your Answer Is.. 16

Step-by-step explanation:

A.

Hopefully this helps you!

- Matthew

Answer:

16

Step-by-step explanation:

Dividing 2 fractions is the same as multiplying the fraction in the numerator with the inverse of the fraction in the denominator.

Therefore,

flip over the line, then slide up

The number of the combinations of 3 scoops of ice cream can Laura choose will be 20.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Laura wants 3 scoops of ice cream.

She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors.

Then the number of the combinations of 3 scoops of ice cream can Laura choose will be given as

→ ⁿCₐ

The total number of the flavor will be

n = 6

Then the number of the chosen flavor will be

a = 3

Then we have

→ ⁶C₃

→ 20

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The number of ways Laura will wear a pair of mittens, a scarf, and a jacket will be 36.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house.

She has two pairs of mittens to choose from, six scarves chosen from, and three jackets to choose from.

Then the number of ways will be

Number of ways = ²C₁ x ⁶C₁ x ³C₁

Number of ways = 2 x 6 x 3

Number of ways = 36

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We will see that:

h(g(g(x)) = -78 + 24x

Which means that the statement is false.

Here we have that:

g(x) = 13 - 2x

h(x) = 6x

Now we want to find the composition of functions:

h(g(g(x))

First, let's find g(g(x)) = 13 - 2*g(x) = 13 - 2*(13 - 2x) = 13 - 26 + 4x

g(g(x)) = -13 + 4x

Now let's evaluate h(x) in that:

h(g(g(x)) = 6*g(g(x)) = 6*(-13 + 4x) = -78 + 24x

This is not equal to what we have in the question, so we conclude that the statement is false.

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The breadth of your books are perpendicular to the length because they meet at right angles.

The shape of a book is a rectangle. A rectangle has four enclosure. This means they are formed by 4 lines.

The opposite sides are equal in length.

The sides of the book has a pair of breadth and a pair of length.

The breadth and length are straight lines.

When this straight line meets, it forms a right angle(90 degrees). This means the breadth and the length are perpendicular to each other.

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