[tex]y = 2(x+4)^2+5\implies y = 2(x+4)(x+4)+5 \\\\\\ y = 2(\stackrel{\mathbb{USING~FOIL}}{x^2+8x+16})+5\implies y= 2x^2+16x+32+5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 2x^2+16x+37~\hfill[/tex]
10. A wildfire in Montana destroyed 240,000 acres in 3 days. At this rate, how many
acres were destroyed per hour?
Answer:
Approximately 3,333 acres per hour.
Step-by-step explanation:
Let's first find out how many hours are in 3 days.
There are 24 hours in one day.
24 times 3 = 72.
There are 72 hours in 3 days.
So the wildfire is destroying 240,000 acres every 72 hours.
240,000 divided by 72 = 3,333.3333, which is about
3,333 acres per hour.
The number of acres of land that were destroyed per hour is 3,333.33 acres.
Given the following data:
Land destroyed = 240,000 acres.Time = 3 days.To calculate the number of acres of land that were destroyed per hour:
How to solve a word problem.In this exercise, you're required to determine how many acres of land in Montana were destroyed by the wildfire per hour. Thus, we would first of all convert the value of time in days to hours and then divide the acres of land by it.
Conversion:
1 day = 24 hours.
2 days = 48 hours.
3 days = 72 hours.
For the acres destroyed per hour, we have:
[tex]Land=\frac{240000}{72}[/tex]
Land = 3,333.33 acres.
Read more on word problems here: https://brainly.com/question/13170908
Nolan flipped his lucky coin 13 times and got 8 heads. Nolan used these numbers to estimate the probability of getting a head with his lucky coin. What is the estimated probability of Nolan flipping a head with his lucky coin
Answer:
8/13 = 0.615
Step-by-step explanation:
Nolan is only using these numbers, not actual probabilities, to formulate his results. Therefore, only using these numbers, there is an 8/13 chance of Nolan flipping a head with his lucky coin, as he flipped heads 8/13 times.
Answer:
13 time /8 head
= 8/ 13
= 0.615
hehehejejwjjejejjejejwkwkwkekekejjeue
Answer: The last answer is correct.
Step-by-step explanation:
y=(x^4)-(6^3)+(50x^2)+122x=65
find the zeros
6. What is the value of the underlined digits?
504,405,623
Math
Answer:
Which one is underlined?
Step-by-step explanation:
the frist 5 is in the 100 millionth place
the frist 0 is in the 10 millionth place
the frist 4 is in the 1 millionth place
the second 4 is in the 100 thousand place
the second 0 is in the 10 thousand place
the second 5 is in the 1 thousand place
the 6 is in the 100s place
the 2 is in the 10s place
and the 3 is in the 1s place
plz help verbal expression
Answer:
3(9+r) = 27 + 3r
Sum = addition
Distributive property
(What is the Constant of Proportionality) The variable y has a proportional relationship with
x as suggested by the graph. Use the graph to
find the constant of proportionality.
Answer:
41
Step-by-step explanation:
In a direct proportion function, the constant of proportionality is the same as the slope of the graph.
Use points (0, 0) and (1, 41).
slope = (41 - 0)/(1 - 0) = 41/1 = 41
constant of proportionality = 41
Plz help well mark brainliest if you are correct!!…
Answer:
A. y<-3
Step-by-step explanation:
A man earns $9.99 for each of the first 36 hours he works in one week and $14.99 in overtime pay for each
additional hour he works in the same week. How much money will he make if he works 46 hours in one week?
Answer:
459.54
Step-by-step explanation:
46(9.99)
=459.54
Answer:
$159.89
Step-by-step explanation:
36 hours + 10 hours = 46
14.99 * 10 = 149.9
(36 hours) $9.99 + (overtime pay) $149.9 = (Total money) $159.89
$9.99 + $149.9 = $159.89
$159.89
f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation
Step-by-step explanation:
Given:
f(x) = x² and g(x) = (x - 9)² + 3If g is the translation of f then it is:
g(x) = f(x - 9) + 3This is a shift right 9 units and up 3 units
Answer:
Yes
Step-by-step explanation:
f(x)=x²
y=x²Shift nine units right
y={x-9)²Shift 3 units up
g(x)=(x-9)²+3A line with a slope of 1 passes through the point (5, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=1x-8
Step-by-step explanation:
Lets do the same thing we did last time
-3=1(5)+?
-3=5+?
The y intercept is -8
CHECK:
-3=1(5)+-8
-3=5+-8
-3=-3
Answer:
y=x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=1(x-5)
y+3=x-5
y=x-5-3
y=x-8
Mr. Bailey announced the grade distribution for
his science fair projects. Of the 36 students in the
class, 12 earned A's, 18 earned B's, and 6 earned
C's. If Mr. Bailey were to randomly select one of
his students to talk about their project, what is the
probability that the student chosen had earned an
A on their science fair project?
Answer:
12/36
Step-by-step explanation:
Cuz 12 earned A's so it's 12/, then there are 36 choices so it would be 12/36.
How many roots will the function f(x)= -3x³ - x² + 7x + 6 have?
Answer:
It will have 3 roots
The number of roots in an equation equals the highest power of that equation.
Step-by-step explanation:
simplify 8x-5-10x+7 GCF
Answer:
-2x + 2
Step-by-step explanation:
Need help solving homework
Don’t know the answer
Answer:
log a + 3 . log c - log b
Step-by-step explanation:
2nd option is the correct answer
Answer:
log a + 3 . log c - log b
Step-by-step explanation:
✌️❤️✌️
The model represents an equation. What value of x makes the equation true?
A) -3
B) -9
C) 3
D) 9
Y=1/3x-4 + Y=-7/3x+4
Answer:
-2
Step-by-step explanation:
if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]
the -4 and +4 cancel out to 0
and 1-7= -6
-6/3 is -2
After a discount of 25%, the sale price of a game system is $149.25. what is the original price?
Answer:111.94
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
25% = 25/100 = 25 ÷ 100 = 0.25.
100% = 100/100 = 100 ÷ 100 = 1.
New value =
149.25 - Percentage decrease =
149.25 - (25% × 149.25) =
149.25 - 25% × 149.25 =
(1 - 25%) × 149.25 =
(100% - 25%) × 149.25 =
75% × 149.25 =
75 ÷ 100 × 149.25 =
75 × 149.25 ÷ 100 =
11,193.75 ÷ 100 =
111.9375 ≈
111.94
In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an angle of elevation of no more than 4.8. . A builder needs to install a ramp to reach a door that is 2.5 feet off the ground.Is 20 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?
Answer:
Yes, 35 feet is enough
The angle of elevation is 4.1º
anyone willing to help??
Simplify. (5b2−3b+2)+(2b−4)
A.5b2+5b+6
B.5b2−5b−6
C.5b2−b−2
D.6b4−2
Answer:
5b2 - b -2
Step-by-step explanation:
The answer is (c)
the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x
b) calculate the area if x=32 feet
answer
a.) y=2.5x
area=2.5x^2
b.)2560
Step-by-step explanation:
a. The construct the expression for the area of the rectangle in terms of x is y=2.5x
b. The area should be 2,560.
Given that,
the length of a rectangular house is two and a half times its width.Based on the above information, the calculation is as follows:
a) The expression should be y = 2.5x
b) The area should be
[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]
= 2560
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How can multistep linear equations be written to represent different
scenarios?
Answer:
Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit
Help. i need it ASAP
Answer:
The third choice is correct.
Step-by-step explanation:
Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.
If Anna spent a total of $2900 this month, how much did she spend on Rent?
Answer:
.26 * 2900= 754 dollars
Step-by-step explanation:
I'm not sure if it's right.
The two lines graphed below are not parallel. How many solutions are there to the system of equations?
○ A. Zero
○ B. Two
○ C. Infinity many
○ D. One
You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.)
Answer:
Do PRT: 5009.31
Step-by-step explanation:
Princable: 5000
Rate: 2.5
Time: 10
Answer:
Find the length x. Please help
Step-by-step explanation:
# easy learning
good luck and god Blees you
A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?
Answer:
70%
Step-by-step explanation:
the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes
to find a percentage we can buff up the ratio to add up to 100
14 + 6 = 20
100 / 20 = 5
that means we must multiply each side by 5
14 * 5 = 70
6 * 5 = 30
the ratio is now 70 to 30
you would have 70% of milkshakes that are small