Solve the following quadratic equation using the quadratic formula.
Write the solutions in the following form, where r, s, and t are integers, and the fractions are in simplest form.
Answers
Answer:
x = (8-6i)/10
x = (8+6i)/10
Step-by-step explanation:
Related Questions
Given f(x) = 4x - 1 and g(x) = x2, choose
the expression for (fºg)(x).
Click on the correct answer.
Answers
Step-by-step explanation:
step 1. f°g(x) = f(x^2)
step 2. f(x^2) = 4(x^2) - 1
step 3. answer: 4x^2 - 1
A, B & C form a triangle where ∠ BAC = 90°. AB = 6 mm and CA = 7.3 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answers
Answer:
BC ≈ 9.5 mm
Step-by-step explanation:
Since, ΔBAC is a right angle triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
BC² = 6² + (7.3)²
BC = [tex]\sqrt{89.29}[/tex]
BC =
BC = 9.445
BC ≈ 9.5 mm
if i can make 60 cakes in 15 minutes , how many can i make per minute what is the unit rate
Answers
4 per a minute
Step-by-step explanation:
if your heat beats 75times per minute how many time does it beat in 5 hours
Answers
Answer:
This is your answer . IfI'm right so,
Please mark me as brainliest. thanks!!!
Which term has the definition "A data point that is very large or very small in comparison
to the rest of the data set"?
A.Maximum
B. Outlier
C. Variability
D. Minimum
Answers
Answer:
B. Outliers
Step-by-step explanation:
Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?
Answers
Answer: Amount of Money Barak earned last week =$125
Step-by-step explanation:
Amount of money Barak spent= $20
Amount of money spent = 16% of Money earned (X)can be represented as
16% x X =20
0.16 x X =20
X = Money earned last week = 20/ 0.16= $125
PLEASE HELP
show work for problem
Answers
Answer:
[tex]tan(x)-1 =30/45[/tex]
Step-by-step explanation:
put that in your calculater
Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal distribution to help him.
Answers
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given value:
[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]
Using formula:
[tex]\bold{Z= \frac{X-\mu}{\sigma}}[/tex]
[tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]
Calculating the percent of the sales which is less than or equal to 84 inches:
[tex]\to P(Z \leq 1.6)=0.9452[/tex]
[tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]
Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.
14.875/1.5 step by step
Answers
Answer:
9.916...
Step-by-step explanation: (The "6" is repeating)
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
This gives us a mixed number-fraction: 9 and 11/12.
If we then turn this into a simplified fraction, then it becomes 119/12. Turn that into a decimal by dividing the numerator by the denominator.
This gives us our answer of 9.916...!!! Hope that helps!
Start time: 6:30 PM
Elapsed time: 2 hours and 18 minutes
End time _______
What is the end time?
Answers
Answer:
I think this is right but could be wrong 8:18 pm so lmk ??
8.40pm
Step-by-step explanation:
6.30 changed to 24 hour format
the answer will be 1830+0218=2048
Mister mayor has asked that you pass a geometry quiz before you begin building. He wants you to make sure you are qualified before you begin building his city.
Answers
Answer:
what do you need help with tho lol
Step-by-step explanation:
Pls help I need this answer asap I got 10 min left :(
Answers
Answer:
Initial Value: 4
ROC: - 4/5
Step-by-step explanation:
I know you're short on time, if you want an explanation, let me know!
Answer:
Step-by-step explanation:
Given a roll of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.
PLS RESPOND ASAP I NEED THE ANSWER PLSSSS
Answers
Answer:
124.8 Inches
Step-By-Step
1/2 0.835 Inches = 0.4175
r = 0.4175
h = 0.077
A=2πrh+2πr^2
A=2π(0.4175)(0.077)+2π(0.4175^2)
A = 3.12
Nickel = 5 Cents
$2 = 200 Cents
200 / 5 = 40
(3.12)(40) = 124.8 In
Answer:
The answer is 0.8 in^2
Step-by-step explanation:
Data
diameter = 0.835 in
thickness = 0.077in
Roll of $ 2.00
Procedure
1.- Find the total number of nickels
# of nickels = 2/ 0.05
# of nickels = 40
2.- Calculate the Circumference
C = 2*pi*r
r = 0.077/2
r = 0.0385
C = 2*3.14*0.0385
C = 0.242 in
3.- Calculate the area of the thickness
Area = 0.242* 0.077*40
Area = 0.745 in^2
4.- Calculate the area of the base and the top
Area = 2*pi*r^2
Area = 2*3.14*(0.0382)^2
Area = 0.0093 in^2
5.- Calculate the total area of the roll
Total area = Area of the thickness + Area of the base and top
Total area = 0.745 + 0.0093
Total area = 0.7543 in^2 This is the result
Rounding to the nearest tenth = 0.8 in^2
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps
Answers
Answer:
20 months
Step-by-step explanation:
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].
(a)
As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],
[tex]w=kt[/tex]
Here, [tex]k[/tex] is a constant.
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.
Put [tex]w=1\,,\,t=2[/tex]
[tex]1=2k\\k=\frac{1}{2}[/tex]
So,
[tex]w=\frac{t}{2}[/tex]
(b)
To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]
[tex]10=\frac{t}{2}\\\\t=10(2)\\[/tex]
[tex]t=20[/tex] months
8) Anthony wants to earn at least $41,000 this year. So far, he has earned $34,000. How much
more does Anthony need to earn to meet his goal?
Inequality:
Solution:
Answers
Ansswer:
7,000
Step-by-step explanation:
41,000 - 34,000 = 7,000
Janine plans to deposit $20,000 at the end of each year for eight years into an investment account. The mutual funds containing stocks what continue to yield 6% per year. Find the future value.
Answers
Answer:
$197,949.40
Step-by-step explanation:
Just took the quiz.
48÷-6-(-2)3
Calculate the following , showing all the steps
Answers
Answer:
-2
Step-by-step explanation:
48 ÷ -6- (-2)3
= -8 - (-2)3
= -8 - (-6)
= -8 +6
= -2
2) -6 - (-6) = 0
3) 48/0 = 0
What is 69.37 minus 1.93
Answers
Answer:
the answer is 67.44 hope it helps smile
ahmed is 4 years old than sara, 5 years ago the sum of their age was 48, write a algebric equation to represent the situation and find saras age
Answers
Answer:
bjbhj
Step-by-step explanation:
help with this too!!
Answers
Answer:
a
Step-by-step explanation:
Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form.
3/4,1/8
Answers
Answer:
From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?
wanna help a fellow hawt person out?
Answers
Answer:
50
Step-by-step explanation:
You gotta add up 38 and 12 because it reflects and it's the same across ABC
Hi please help thank you so much
Answers
Answer:
23.09 ft
Step-by-step explanation:
tan = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ tan 13 = [tex]\frac{x}{100}[/tex]
tan of 13 is 0.23086
⇒ 0.23086 = [tex]\frac{x}{100}[/tex]
multiply each side by 100
⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100
solve:
⇒ 23.0868
round to the nearest hundreth:
⇒ 23.09
The water pipe has a radius of 5 cm and a height of 7 cm. What volume of
water does it take to fill the pipe?
Answers
Answer:
549.5 cm
Step-by-step explanation:
Answer:
pipe is cylinder
volume= pi r²h
radius= 5cm
height= 7cm
volume = 22/7 × (5×5) × 7
simplifying the equation
= 22 × 25
= 550cm³
What is the range of this data set?
3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8
14.1
15.8
17.8
18.5
Answers
Answer:the answer is 15.8
Step-by-step explanation:
Find the Total surface area
A prism 11 in tall with a right triangle for a base with side lengths 6 in, 8 in, and 10 in.
A) 344 in2
B) 383 in2
C) 312 in2
D) 288 in2
Answers
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
a watch is sold for $130 at a loss of $30. what was the original cost of the watch
Answers
Answer:
130.00 + 30.00 = $160.00
Step-by-step explanation:
In 2007, the value of a house was £119,995 From 2007 to 2018, house prices decreased by 9.4%. How much has the value of the house decreased by?
Answers
Answer: £11,279.53
Step-by-step explanation:
Given
In 2007, the price of the house was £119,995
Price decreases by 9.4%
[tex]\Rightarrow \text{Current Price}=\text{Old Price}-9.4\%\text{Old Price}\\\Rightarrow 119,995-9.4\%\ \text{of}\ 119,995\\\Rightarrow 119,995(1-0.094)=119,995\times 0.906\\\Rightarrow 108,715.47[/tex]
Price decreased by 119,995-108,715.47=£11,279.53
Mrs. jack bought 150 T-shirt for $1920 from a factory calculate the cost of one Tshirt
Answers
Answer:
.07 if rounded then .08
Step-by-step explanation:
150 / 1920 = .078125
hope this helps...
To find the answer, we need to divide 1920 by 150
1920/150 = 12.8
Hope this helps!! :)
The ratio of girls to boys is 12 girls to 20 boys.
If there are 3 girls, how many boys are there?
There are
boys.
Next Question
Answers
Answer:
5
Step-by-step explanation:
ratio = 12:20
12/4 = 3
so we do
20/4 = 5
there are 5 boys
Another way, we can write it as a fraction
12/20 = 3/x
12x = 60
x = 5
Answer:
5 boys
Step-by-step explanation:
Write it like this:
3/X=12/20
Then, cross multiply.
3*20=60
X*12=12X
12X=60
Divide both sides by 12
60/12=5
X=5
The unknown number is 5
If there are 3 girls, then there are 5 boys.