Answer:
The area is: [tex]77x^2 + 105x + 28[/tex], option b.
Step-by-step explanation:
Rectangular area:
The area of a rectangular space is given bt the multiplication of its measures.
Area of the roof:
Dimensions of 10x + 8 and 8x + 6. So
[tex]A_{r} = (10x+8)(8x+6) = 80x^2 + 60x + 64x + 48 = 80x^2 + 124x + 48[/tex]
Area of the skylight:
Dimensions of x + 5 and 3x + 4. So
[tex]A_{s} = (x+5)(3x+4) = 3x^2+4x+15x+20 = 3x^2 + 19x + 20[/tex]
What is the area of the remaining roof after the skylight is built?
Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So
[tex]A_{r} - A_{s} = 80x^2 + 124x + 48 - (3x^2 + 19x + 20) = 80x^2 - 3x^2 + 124x - 19x + 48 - 20 = 77x^2 + 105x + 28[/tex]
The area is: [tex]77x^2 + 105x + 28[/tex], option b.
Can y’all help me on question 15?!
Answer:
B. 2⁵ + 7²
Step-by-step explanation:
2 to the fifth power is: 2⁵
7 squared (7 to the second power) is: 7²
Evaluate this expression: Write only the answer.
*
12 X (3 + 22) - 2 - 10
Your answer
Answer:
288
Hope this helps :)
please help me i really need help please
Answer:
So, I think you're talking about 180-118, which is 62
Step-by-step explanation:
180-118=62
PLEASE HELP WHO EVER GET THIS RIGHT WILL MAKE U BRAINIEST
Answer: 150
Step-by-step explanation:
You got it right, just divide 300 by 2 :)
Answer:
150
Step-by-step explanation:
50% is half if everything... half of 300 is 150
please answer me without spamming
Which value for x makes the sentence true?
9x = 5x + 12
A. x = 8
B. x = 1
C. x = 16
D. x = 3
Answer:
3 is the ans (any more que)
Answer:
D. x=3
Step-by-step explanation:
9x = 5x + 12. We have to make sure it's right.
9x3= 27.
27x3=27.
5x3= 15.
27=15+12.
15+12=27.
Do is the correct answer.
Alina's home is 15km from Sentosa. She cycles a distance of 8km. What percentage of the total distance does she have left to cover? Give your answer correct to 2 decimal places.
Answer:
55.5 percent of the way!!!!!!
Jace purchases a new motorcycle for $8000. The bike depreciates 12% every year.
Write two equations that models the price of the bike after 5 years.
Answer:
We know that the original price of the bike was $8,000.
After one year, the price of the bike decays a 12%, then the new price of the bike is:
P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)
After another year, the price again decays a 12%, the new price will be:
P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2
We already can see the pattern here, after t years, the price of the bike will be:
P(t) = $8,000*(1 - 0.12)^t
With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5
We will get:
P(5) = $8,000*(1 - 0.12)^5 = $4,221.9
The price of the bike after 5 years is $4,221.9.
Now we want two equations to represent this, so we need another.
This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.
We could say that the price of the bike after t years is:
P(t) = $8,000*(0.88)^t
or something like:
P(t) = $7040*(0.88)^(t - 1)
Where i multiplied the initial value by 0.88, and then reduced the exponent by one.
Grandma Bunga is 52 years older than Melati. She is 5 times older than Melati. How old
is Grandma Bunga?
Answer:
65
Step-by-step explanation:
x=52+y
x=5y
y=x/5
x=52+(x/5)
x-(x/5)=52
(5x-x)/5=52
4x=52×5
4x=260
x=260/4
x=65
Bunga is 65 yrs old
Metali is 13 yrs old
Belle is playing a game where the probability of drawing a card with a value greater than 12 is 1/16. If she draws 64 cards throughout the game what is the best prediction of the number of cards she will draw with a value greater than 12?
0.8 repeting
Step-by-step explanation: 1/6 times 64 divded by 12.
Can someone tell me the answer pls
Answer: The second and the last answer are correct
Step-by-step explanation:
A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel chains. There were 103 responses. The average time these 103 general managers had spent with their current company was 11.7 years. Give a 99% confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company. (Take it as known that the standard deviation of time with the company for all general managers is 3.6 years.)
Answer:
(10.78483, 12.61517)
Step-by-step explanation:
It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.
Number of hotels = 160
Number of response received = 103
The average number of years these general mangers was in their current hotels, [tex]$\bar x$[/tex] = 11.7 years
Confidence Interval, CI = 0.99
Therefore,
a = 0.01, |Z(0.005)| (from standard normal table)
∴ 99% of CI = [tex]$\bar x \pm Z \times \frac{s}{\sqrt n}$[/tex]
[tex]$= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$[/tex]
[tex]$(10.78483, 12.61517)$[/tex]
a pet store wants to know what is people's favorite animal. the store places survey cards at a table for customers to fill out when they enter the store.
You are traveling from New York to los angeles to visit mickey mouse and his friends at disneyland. Given a map scale of 1 in. = 400 miles, find acutal distance you will be traveling if they are 7 inches apart on the map
Answer:
it is 2,800 miles from ny to la
Step-by-step explanation:
Sandra is making a vegetable soup. if she makes 12 cups of soup, how many cups of onions does she need? carrots 1/3 cup onions 1/8 cup peas 1/4 cup
(please answer fast)
Answer:
1 1/2 cups you multiply 1/8 ×12
A donut machine can make 3000 donuts in 10 hours. How long would it take the machine to make 600 donuts? How many donuts are made per minute?
Answer:
it would take it 2 hours to make 600 donuts, it makes 5 donuts a minutes
Step-by-step explanation:
Simple math.
3000/10=300 which means 300 donut per hour.
300 x 2 = 600.
300 / 60 = 5.
3/5 and 2/5
what is the common denomenator?
Answer:
5 is their common denominator
Step-by-step explanation:
A common denominator is when both denominators are the same.
Answer:
5 is the common denominator of 3/5 and 2/5
Type the correct answer in each box.
Answer:
X = 30 degrees, z = 80 degrees and y = 70 degrees
The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature finding to be 91.8 F. The body is taken to the morgue and at 12:30 pm the body temperature is 84.4 F. Using an exponential model for the body temperature, to the nearest minute, what time was he killed. Normal body temperature is 98.6.
Answer:
Time of murder = 10:39 am
Step-by-step explanation:
Let the equation of exponential function representing the final temperature of the body after time 't' is,
f(t) = [tex]a(e)^{nt}[/tex]
Here, a = Initial temperature
n = Constant for the change in temperature
t = Duration
At 11:30 am temperature of the body was 91.8°F.
91.8 = [tex]98.6(e)^{nt}[/tex] --------(1)
Time to reach the body to the morgue = 12:30 pm
Duration to reach = 12:30 p.m. - 11:30 a.m.
= 1 hour
Therefore, equation will be,
84.4 = [tex]91.8(e)^{n\times 1}[/tex]
eⁿ = [tex]\frac{84.4}{91.8}[/tex]
ln(eⁿ) = ln(0.9194)
n = -0.08403
From equation (1),
91.8 = [tex]98.6(e)^{-0.08403t}[/tex]
[tex](e)^{0.08403t}=\frac{98.6}{91.8}[/tex]
[tex]ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}][/tex]
0.08403t = 0.07146
t = 0.85 hours
t ≈ 51 minutes
Therefore, murder was done 51 minutes before the detectives arrival.
Time of murder = 11:30 - 00:51
= 10:90 - 00:51
= 10:39 am
What is the area, in square inches, of the isosceles trapezoid below?
Area of a trapezoid: (top + bottom)/2 x height
Area = (6.5 + 15.1)/2 x 5
Area = 21.6/2 x 5
Area = 10.8 x 5
Area = 54 square inches.
Help need to find the answer
Answer:
242 ft²
Step-by-step explanation:
The shape can be decomposed to give us a trapezium and a rectangle
Area of the shape = area of the trapezium + area of the rectangle
✔️Area of the trapezium = ½(a + b)h
a = 14 ft
b = 20 ft
h = 13 - 7 = 6 ft
Area = ½(14 + 20)*6
Area of trapezium = 102 ft²
✔️Area of rectangle = L*W
L = 20 ft
W = 7 ft
Area = 20*7 = 140 ft²
✔️Area of the shape = 102 + 140 = 242 ft²
is x(4x^2+8x+12) completely factored? If not how else can it be factored ?
A. Yes the polynomial is completely factored
B. No 4 can be factored from each term of the trinomial and the resulting trinomial can be factored into two binomials.
C.no 4 can be factored from each term of the trinomial
D. No the trinomial 4x^2+8x+12 can be factored into two binomials
No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given polynomial is x(4x²+8x+12).
Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.
So, group and factor out the greatest common factor (GCF), then combine.
That is, 4(x²+2x+3)
Now, x(4x²+8x+12)= 4x(x²+2x+3)
Therefore, option C is the correct answer.
To learn more about the factorization visit:
https://brainly.com/question/26923098
#SPJ2
A random sample of 10 shipments of stick-on labels showed the following order sizes. 45,424 38,958 53,726 24,760 27,866 46,843 26,478 23,983 34,088 57,814
(a) Construct a 95 percent confidence interval for the true mean order size. (Round your standard deviation answer to 1 decimal place and t-value to 3 decimal places.) The 95 percent confidence interval _______to ________
(b) The confidence interval can be made narrower by:________.
i. decreasing the sample size or decreasing the confidence level.
ii. increasing the sample size or increasing the confidence level.
iii. increasing the sample size or decreasing the confidence level.
iv. decreasing the sample size or increasing the confidence level.
Answer:
way too hard
Step-by-step explanation:
Which undefined term can contain parallel lines?
line
plane
point
ray
Answer:
i tthat hink it is a plane
Answer:
PLANE
Step-by-step explanation:
8/9+8/9
enter answer as a fraction
Which of the following best describes the slope of the line below?
A. Undefined
B. Positive
C. Zero
D. Negative
Answer:
zero
Step-by-step explanation:
the slope does not change in y at all.
find a solution to the situation. Claire has 8 fewer books than Mai. If Mai has 26 books, how manny books does Claire have?
Answer:
18 books
Step-by-step explanation:
The following formula gives the temperature's measure in degrees Fahrenheit F, where C is the measure
in degrees Celsius:
F=
9
C + 32
5
Rearrange the formula to highlight the measure in degrees Celsius.
Answer:
The rearrenged formula is [tex]C = \frac{5(F - 32)}{9}[/tex]
Step-by-step explanation:
Celsius to Fahrenheit:
To realize the conversion of the temperature in degrees Celsius to degrees Fahrenheit, we use the following equation:
[tex]F = \frac{9C}{5} + 32[/tex]
Rearrange the formula to highlight the measure in degrees Celsius.
We want to find C in function of F. So
[tex]F = \frac{9C}{5} + 32[/tex]
[tex]\frac{9C}{5} = F - 32[/tex]
[tex]C = \frac{5(F - 32)}{9}[/tex]
(20 POINTS) answer ASAP
GameStop has a sale on Xbox games. Yusuf buys $50 worth of video games. Each game is on sale for $10. How many games did Yusuf buy?
Answer:
He bought 5
Step-by-step explanation: