What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?

Answers

Answer 1

Answer:

-7/3 +\- 1/3i

Step-by-step explanation:


Related Questions

One year, the population of a city was 99,000. Several years later it was 82,170. Find the percent decrease.

Answers

82170/99000=0.83
1-0.83=0.17
answer is 17%

"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol

Answers

Answer:

Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped

Step-by-step explanation:

60-45= 15

15 times 3 is 45

the cone and cylinder above have the same radius and height the volume of the cone is 222 cubic cm what is the volume of the cylinder​

Answers

Answer:

Step-by-step explanation:

volume of cone v=1/3πr²h

volume of cylinder V=πr²h

V=3v

volume of cylinder=3×222=666 cubic cm.

what is the smallest perimeter of area 12 cm can have?


edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.​

Answers

Answer:

14

Step-by-step explanation:

area = lb

4*3 or 6*2 or 1*12

perimeter= 14,16,26

What is the equation of the line that passes through the point (−4,−8) and has a slope of 4?

Answers

Answer:

i hatee maths thank u

Step-by-step explanation:

On my other question I posted I forgot to add the attachment, but uh please help down below 3

Answers

Answer:

6 crayons more

Step-by-step explanation:

At Dante's party, each child gets 192/16 = 12 crayons each

At Maria's party, each child gets 234/13 = 18 crayons each.

Therefore, each child at Maria's party gets 18-12 = 6 crayons more each than at Dante's party.

Answer:

answer is 6

Step-by-step explanation:

each child at Dante's party receive 192÷ 16 crayons, which is 12

each child at Maria's party receive 234÷ 13 crayons, which is 18

The base salary of 500$ per week plus a commission of 10.5% of sales

Answers

Answer:

salary = $ 500 + 0.105 sales

Step-by-step explanation:

Weekly Income = 500 + 0.105S   where S= weekly sales

in x, y math format that's

y=500+0.105x

Economics often uses Q for quantity and Y for income

so,

Y=500+0.105Q

Hope this answer helps you :)

Have a great day

Mark brainliest

Find the measure of angle c

Answers

64 degrees hope this helps you out

Find an equation for the graph shown.

Answers

Answer:

y=-sin(x)

Step-by-step explanation:

y=-sin(x)

Evaluate: 4+8 / 2 x (6 - 3)

Answers

Answer:

16

Step-by-step explanation:

4+8/2*(6-3) = 4+8/2*3 = 4+4*3 = 4+12 =16

Answer:

18

Step-by-step explanation:

4+8 /2 *(6-3)

=4+8/2 * 3

=(4+8)*3/2

=12*3/2

=36/2

=18

Solve simultaneous equation x-y=4 and x²+y²=10​

Answers

Step-by-step explanation:

hear is your answer please check attachment

Is anyone good at Spanish ? I need help with Spanish homework. I’ll mark you brainliest

Answers

Answer:

...

Step-by-step explanation:

what help do you need ??

What is the question you need help with

Xavier shoots a basketball in which the height, in feet, is modeled by the equation, h(t) = -4t^2+10t +18, where t is time, in
seconds. What is the maximum height of the basketball?

Answers

Answer:

h = 24.25 feet

Step-by-step explanation:

Xavier shoots a basketball in which the height, in feet, is modeled by the equation.

[tex]h(t) = -4t^2+10t +18[/tex] ....(1)

For maximum height,

Put dh/dt=0

So,

[tex]\dfrac{dh}{dt}=\dfrac{d}{dt}(-4t^2+10t +18)\\\\=-8t+10[/tex]

So,

-8t = -10

t =1.25s

Put t = 1.25 s in equation (1)

[tex]h(t) = -4(1.25)^2+10(1.25) +18\\\\=24.25\ feet[/tex]

So, the maximum height of the basketball is equal to 24.25 feet.

subtract 5x-7y+6 from 3x-4y-2​

Answers

Answer:

[tex]2x−3y+8[/tex]

Step-by-step explanation:

[tex](5x−7y+6)−(3x−4y−2)[/tex]

[tex]5x−7y+6−(3x)−(−4y)−−2[/tex]

[tex]5x−7y+6−3x+4y+2[/tex]

[tex]2x−7y+6+4y+2[/tex]

[tex]2x−3y+6+2[/tex]

[tex]2x−3y+8[/tex]

Hope it is helpful...

John finances his daughter's college education by making deposits into a fund earning interest at an annual effective rate of 8%. For 18 years he deposits X at the beginning of each month. In the 16th through the 19th years, he makes a withdrawal of 25,000 at the beginning of each year. The final withdrawal reduces the fund balance to zero. Calculate X.

Answers

Answer:

Monthly payment = 241.925

Step-by-step explanation:

Effective interest rate is the actual interest paid at the end of the year AFTER compounding.  Most credit cards charge x% ("APR", annual percentage rate)annually.  Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.

Here, effective (annual) interest rate is 8%.  We need the monthly rate, i.

(1+i)^12 = 1.08

Solving, we have i = 0.6434% monthly approximately

To balance the deposits and withdrawals, we note that the last withdrawal is the beginning of year 19, and the last deposit is the last month of year 18.  We therefore conclude that the "future values" fall on the same day, and that they are equal.

We consider the annual deposits D (accumulated at the end of the year, and annual withdrawals W are in separate accounts.  By the end of the operations, one will balance the other (they are equal).

We will need the following formula to calculate future value F given the periodic amount, A, interest rate per period, i, and the number of periods.

F(A,i,n) = A*((1+i)^n-1)/i

Step 1:

calculate the future value of the withdrawals

A = W = 25000 (annual withdrawal)

i = 8% (effective annual interest)

n = 4 years (beginning of 16,17,18,and 19th years)

F(A,i,n) = A*((1+i)^n-1)/i

= 25000( (1+0.08)^4 - 1)/(0.08)

= 112652.80

This is also the total deposit after eighteen years.

Step 2:

calculate the future value of the annual deposits D

A = D (total of annual deposits)

i = 8% (effective annual interest)

n = 18 years

Future value of deposits

F(A,i,n) = A*((1+i)^n-1)/i

= D( (1+0.08)^18 -1 ) / 0.08

= 37.45024373981167D

Since this must equal the total withdrawal, we equate the two to calculate D.

37.45024373981167D=112652.80

and solve for D

D = 112652.80 / 37.45024373981167

= $3008.0659

Step 3

Calculate monthly deposit, X

Effective interest rate is the actual interest paid at the end of the year AFTER compounding.  Most credit cards charge x% ("APR", annual percentage rate)annually.  Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.

Here, effective (annual) interest rate is 8%.  We need the monthly rate, i.

(1+i)^12 = 1.08

The actual monthly interest rate is therefore

i = 1.08^(1/12)-1

Over a 12 month period, (one year), the monthly amount X to accumulate an annual amount D (=$3008.0659) is therefore given by

D = X*((1+i)^n-1)/i

3008.0659 = X*(1.08-1)/(1.08^(1/12)-1)

or the monthly amount

X = $3008.0659 / ( 1.08^(1/12)-1)

= 241.925 per month.

=

Work out the perimeter of this semicircle.
Take a to be 3.142
10 cm

Answers

Answer:

perimeter=1/2*2πr

Step-by-step explanation:

1/2*2*3.142*10

=31.42

Please help ASAP with number 8 please

Answers

Answer:c

Step-by-step explanation:

Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3

Answers

Answer:

512

Step-by-step explanation:

when q = 2, w = 3

4q(q + 3w)^2

= 4(2) ((2)+3(3))^2

= 512

If sin θ = square root of three over two, which could not be the value of θ?

Answers

240 degrees is the only one that could not be a value of theta.

Select all the equations
represented by this tape diagram.

A. 6 + 6 + 6 + 6 + 6 = ?
B. 5 + 6 = ?
C. ? = 6.5
D. ? = 6.6.6.6.6
E. ? = 5 = 6
F.5 = ?= 6

Answers

Answer:

D.

is the correct answer

Write the log equation as an exponential equation. You do not need to solve for x:

log(x^2+5x-18)=x+2

Answers

Answer: 10ˣ⁺² = x² + 5x - 18

Step-by-step explanation: The base of the log becomes the base of the power, the right side of the equation becomes the exponent, and the result in the original equation moves to the other side.

Notice that we aren't given a base, so we know that we are

dealing with a common log which has a base of 10.

(-32) +(-8) -(+40)+(40)+(78)-(46)​

Answers

Answer:

or -32-8-40+40+78-46=-8

Step-by-step explanation:

Answer:

-8 is the answer!!!!

Step-by-step explanation:

you can use calculaTor

Wendy has $17 to buy seed for her birdfeeders. Each bag of seed costs $2. How many bags of seed can she buy?

Answers

Answer:

It depends if there is tax or not, if there isn't she can buy 8 of them.

Step-by-step explanation:

$17 is the total so we need to see how many $2 fit in $17.

8×2=16, and 16 is the closest number we can get to.

The equation (x-7)^2 + (y - 6)^2 = 36 represents a Ferris wheel plan displayed on a grid, where each unit represents 1 meter. What is the diameter of the Ferris Wheel? ​

Answers

Answer:

[tex]12m[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \displaystyle (x - 7 {)}^{2} + (y - 6 {)}^{2} = 36[/tex]

since it's a circle equation where 36 is the square of the redious we can figure out redious by solving the following equation

[tex] \displaystyle {r}^{2} = 36[/tex]

square root both sides:

[tex] \displaystyle {r}^{} = 6[/tex]

remember that,

[tex]\displaystyle d = 2r[/tex]

thus substitute the value of r:

[tex]\displaystyle d = 2.6[/tex]

simplify multiplication:

[tex]\displaystyle d = 12[/tex]

hence,

the diameter of the Ferris Wheel is 12m

Please help me.

The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?

Answers

Answer:

Step-by-step explanation:

I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.

The regression equation for Y is: ŷ = -0.223X + 20.523

What is Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Sum of X = 15

Sum of Y = 99.27

Mean X = 3

Mean Y = 19.854

The sum of squares (SSX) = 10

The sum of products (SP) = -2.23

Regression Equation = ŷ = bX + a

b = SP/SSₓ = -2.23/10 = -0.223

a = My - bMₓ = 19.85 - (-0.22*3) = 20.523

ŷ = -0.223X + 20.523

Learn more about Linear equations here:

https://brainly.com/question/11897796

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What is the factorization of 81a6 - 100? (9a2 − 10)(9a3 + 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 + 10) (9a3 − 10)(9a3 − 10)

Answers

Answer:

(9a³ − 10)(9a³ + 10)

Step-by-step explanation:

Difference of squares

(9a³ − 10)(9a³ + 10)

Answer:

What is the factorization of 81a6 - 100?

(9a2 − 10)(9a3 + 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 + 10)  <<< CORRECT (9a3 − 10)(9a3 − 10)

Step-by-step explanation:

Oct 2021 Edge

Farah spent $13 on 4 items from the
snack stand at the airport. The
snack stand charges $7 per
sandwiches and $2 per bags of
snack mix. It she purchased a
combination of sandwiches and
snack mix bags, how many of each
food item did Farah purchase?

Answers

Answer:

Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$

2+2+2+7=$13

A group of 42 monkeys meet in the forest for a swinging competition. The monkeys divide into teams with 8 monkeys on each team. They make as many teams as they can, but not every monkey is in a team. How many teams of monkeys will there be? Answer must be a whole number. How many monkeys remain without a team? Answer must be a whole number.

Answers

Answer:

the a answer is five

Step-by-step explanation:

divide 42 by 8 and round it it up to the closest whole number

Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
• What score does Tyrone need in the fifth game so that his mean score is 125?
• Explain your reasoning or show all of your work.

Answers

Answer:

He should measure the length of the bowling alley using meters

Step-by-step explanation:

The score does Tyrone need in the fifth game so that his mean score is 125 is 168.

What is an arithmetic mean?

It is defined as the sum of all observations divided by the number of observations.

Given

Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.

[tex]\frac{120+123+105+109+x}{4+1} =125[/tex]

⇒ [tex]\frac{457+x}{4+1} =125[/tex]

⇒ [tex]\frac{457+x}{5} =125[/tex]

⇒ [tex]{457+x} =125[/tex] × [tex]5[/tex]

⇒ [tex]{457+x} =625[/tex]

⇒ [tex]x =625-457[/tex]

⇒ [tex]x =168[/tex]

Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.

Learn more about mean here

https://brainly.com/question/23706022

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Plz find the surface area

Answers

Answer:

What are the answers?

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