Answer:
1017.88 inches
Step-by-step explanation:
Area = πr2 = π x 182 ≈ 1017.87602
find the value of k if the roots
of 3x²-5x+k=0, differ by 2
By the fundamental theorem of algebra, we can write the given quadratic in terms of its roots a and b as
3x ² - 5x + k = 3 (x - a) (x - b)
and upon expanding, we have
3x ² - 5x + k = 3x ² - (a + b) x + ab
Two polynomials are equivalent if their coefficients are equal, so
a + b = 5
ab = k
We're given that |a - b| = 2. If we assume a > b (that is, a is the larger root) then |a - b| = a - b = 2, or b = a - 2. Substitute this for b in the first equation above and solve for a :
a + (a - 2) = 5
2a - 2 = 5
2a = 7
a = 7/2
Solve for b :
b = 7/2 - 2
b = 3/2
Solve for k :
k = 7/2 × 3/2 = 21/4
PLS ANSWER QUICK, HELP
Answer:
1014 in
Step-by-step explanation:
(13 x 13) x 6 = 1014 in^3
Answer:
The answer should be A (676)
Step-by-step explanation:
LOOK AT THE PHOTO AND ANSWER PLEASE
Answer:
Parallel, I think ||
Step-by-step explanation:
■■■■■■■
Yes they are parallel! Because they are on either sides of a rectangle this automatically makes them parallel.
Least common denominator in 1/30 + 1/24
Answer:
The LCD in 1/30 + 1/24 is 90.
Which property is illustrated by each equation?
a. a + (b + c) = (a + b) + C
b. ab
= ba
c. a (b + c) = ab + ac
Answer:
a. = associative
b. = communitive
c. = distributive
Write the equation of the quadratic function shown in the graph.
Answer:
Step-by-step explanation:
y = a(x-h)² + k, where (h,k) is the vertex.
vertex is clearly (0,0), so y = ax².
Plug in (3,3) and solve for a:
3 = a3²
a = ⅓
y = ⅓x²
HELP ME PLS, the function-
How to do subtract 1.7 from 3 show your work
for brainliest!!! please help
Answer:
42º
Step-by-step explanation:
90-48=42
Answer:
[tex]42^{o}[/tex]
Step-by-step explanation:
The square angle indicates it is a right angle, which is [tex]90^{o}[/tex]
[tex]90^{o}[/tex] - [tex]48^{o}[/tex] = [tex]42^{o}[/tex]
Terrell ran around a track that was 100 yards long.
How many feet did he run?
Answer:
300ft
Step-by-step explanation:
Answer:
300 ft
Step-by-step explanation:
1 yd = 3 ft
100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft
Answer: 300 ft
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $23.7 for a random sample of 4825 people. Assume the population standard deviation is known to be $11.2. Construct the 90% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
What is y if x=6 eqaution=y=4x+5
A simple closed figure bound by line segments is called polygon.
True or False?
Answer:
A. True
Step-by-step explanation:
I majored in Mathematics
its very easy just try it
Answer:
it is biased
Step-by-step explanation:
find the value of x. round to the nearest tenth if needed.
[tex]6^{2}+8^{2}=x^{2} \\36+64=x^{2} \\100=x^{2} \\x=10[/tex]
The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture. What is the initial number of bacteria in the culture? us this formula to solve it and show all work A(t) = Pe^(rt).
Step-by-step explanation:
A(t)=P(e^(rt))
Insert the values as follows:
The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).
34820=P(e^((.78)(5)))
34830=P(49.4024)
704.82335
Hope that helps :)
The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.
x = 0 corresponds to January.
What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Answer:
The average daily maximum temperature in March is of 61 degrees.
Step-by-step explanation:
The average daily maximum temperature in his hometown in x months after January is given by:
[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]
What is the average daily maximum temperature in March?
March is 3 - 1 = 2 months after January, so this is f(2).
[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]
The average daily maximum temperature in March is of 61 degrees.
What type of triangle is this if lengths of its sides are 37m, 24m, and 5m *
Answer:
weird triangle
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
Scalene triangle: If the length of all the sides of triangle have different measurements then it is scalene triangle
Jacqueline is buying a pair of pants for $30. They are on sale for 15% off, and she has a coupon for 10% off the sale price. How much does she pay for her pants?
Answer:
$22.50
Step-by-step explanation:
Kristi has 2 ribbons that are the same length. She cuts each ribbon into 8 equal pieces. She uses 12 of the pieces to make bracelets. What fraction of the ribbon did she use?
In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks
Answer:
1/6 or 16.666%
Step-by-step explanation:
8/48 and there is your answer.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
he action or condition of becoming or being made wider, larger, or more open.
Step-by-step explanation:
Lily has 3 dog toys that are red. One fifth of all her dog toys are red. How many dog toys does Lily have? Complete the explanation. Please I need help!!!!
Answer:
she has 15 dog toys
Step-by-step explanation:
mutlipy 3 by five because the top number is one
What is the next term in the sequence below?
0.35, 1.05, 3.15, 9.45, …
A. 15.75
B. 27.75
C. 28.35
D. 85.05
Answer:
Its C
Step-by-step explanation:
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer:
whats the question? theres no context other than that little bit
Answer:
The fence is 40 feet long.
Step-by-step explanation:
I suppose the question is "What is the length of the entire fence?"
Formula
3/8 x = 15 Multiply both sides by 8
8*(3/8)x = 15*8 Cancel
3x = 120 Divide by 3
3x/3 = 120/3
x = 40
I need help with this noww
Answer:
B) 6/√3
Step-by-step explanation:
It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.
Help
See the picture
Answer:
38.63Step-by-step explanation:
Area x height
Answer:
SA = 12 mi²
Step-by-step explanation:
bottom = 2 x 2 = 4 mi²
one side = 1/2(2)(2) = 2 mi²
SA = 4(2) + 4 = 12 mi²
What will the function f(x) = x² look like translated 3
units right and 8 units down?
Answer:
it will look the same, just shifted.
Step-by-step explanation:
The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.
I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math
Answer:
8 quarts and 1 pint
Step-by-step explanation:
there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over
The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
18.85
Step-by-step explanation:
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