Answer:
75.398 cm to the nearest thousandth.
Step-by-step explanation:
Circumference = π * diemeter
= 24π
= 75.3982 cm
the population of rats in nyc is estimated to be 3000000 currently. the rat population is growing by 1% per month. what is the estimated population of rats in 5 years?
Answer:
5,450,000
Step-by-step explanation:
The population can be modeled by an exponential function with a growth rate of 1% per month. The time of interest, 5 years, is 60 months.
__
population = (initial value) × (1 + growth rate per month)^(months)
p = 3,000,000 × (1.01^60) . . . . . . population in 60 months
p ≈ 5,450,000 . . . . in 5 years
The estimated population of rats in nyc is about 5,450,000 in 5 years.
If x – 4 is a factor of x2 + 8x + k, what is the value of k?
Answer:
k ±16
Step-by-step explanation:
Evaluate x^2 + 8 x + k where x = -4:
x^2 + 8 x + k = k - 4 8 + (-4)^2
(-4)^2 = 16:
k - 4 8 + 16
8 (-4) = -32:
k + -32 + 16
Grouping like terms, k - 32 + 16 = k + (16 - 32):
k + (16 - 32)
16 - 32 = -16:
Answer: k ±16
Answer:
The answer is
k=−11
Explanation:
Let
f(x)=x^3−6x62+kx+10
If (x+2)is a factor
Then,
f(-2)=0
f(−2)= −8− 24 − 2k + 10= 0
2k=-22
k=−11
Step-by-step explanation:
If a man goes to a cafe he wants to buy a wrap with the price of 8.80 dollars he gives the cafe lady 10 dollars how much change does he get?
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire
attached? Write your answer in simplest form
The wire is attached to the pole at 18 root3 ft high.
We have given that,
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.
This is a right triangle formed of which hypotenuse is
h=36ft.
Angle is θ=60degree
Let P be the height of pole.
What is the value of the sin ratio?
[tex]\frac{Opposite\ side}{hypotenous}[/tex]
then, sin60=P/H or root3/2=P/36
P=36√3/2
or
P=18√3ft.
The wire attached to the pole at P=18√3ft.
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write an equation of a line perpendicular to the line 1/2x - 5 , passing through the point (-1 , 7)
y=-2x+5
Calculations ↓First of all we need to determine the slope of the line perpendicular to y = 1/2x - 5 .
The slopes of perpendicular lines are opposite reciprocals.
So we take 1/2 , turn it over , and change it's sign :
[tex]^1/_2\:\:\:--- > ^2/_1\:\:\:--- > 2\:\:\:--- > -2[/tex]
The slope of the line perpendicular to y = 1/2x-5 is -2 .
Since we're also given a point that the line crosses , we can write the line's equation in point - slope form :
y-y₁=m(x-x₁)
y-7=-2(x-(-1)
y-7=-2(x+1)
Now convert to slope intercept :
y-7=-2x-2
add 7 on both sides :
y = -2x+5[tex]\footnotesize\text{hope\:helpful}[/tex]
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Answer:
12/35
Step-by-step explanation:
tan = opposite side / addjesent side
Tan (A) = 12 / 35
PLEASE HELp
find the degree for the two points below using the circle
Answer:
Step-by-step explanation:
Can someone help with the question?
What is the factorization of 121b4 − 49? (11b − 7)(11b − 7) (11b 7)(11b − 7) (11b2 − 7)(11b2 − 7) (11b2 7)(11b2 − 7)
The Factorization of 121b⁴ − 49 is (11b^2 + 7)(11b^2 - 7).
The equation 121b⁴ − 49
To find the Factorization of 121b⁴ − 49.
What is the factor of a^2-b^2?
The factor of a^2-b^2 is (a+b)(a-b)
We have write the given equation in the form of a^2-b^2
[tex]= 121b^4 - 49\\= (11b^2)^2 - 7^2\\= (11b^2 + 7)(11b^2 - 7)[/tex]
Therefore the factor of the 121b^4 − 49 is (11b^2 + 7)(11b^2 - 7).
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Answer:
(11b2 + 7)(11b2 − 7)
Step-by-step explanation:
just did the test
A password contains exactly 7 letters. How many passwords are possible if letters cannot be used more than once?
A. 8,031,810,176
B. 3,315,312,000
C. 823,543
D.657,800
Answer:
B
Step-by-step explanation:
This is a combination problem. For the first letter, there are 26 possible letters in the alphabet to use. For the second, we cannot use the letter used in the first, so there are only 25 possible letters. Repeat this for the remaining 5 letters.
1st - 26
2nd - 25
3rd - 24
4th - 23
5th - 22
6th - 21
7th - 20
To find the number of possible passwords, simply multiply all these numbers together. 26*25*24*23*22*21*20 = 3,315,312,000. Therefore B is the correct answer.
Answer:
B
Step-by-step explanation:
The answer is B
you can find answers for questions like these on quizlet.
what is the perimeter of 273
Answer:
91
Step-by-step explanation:
given perimeter = 273
perimeter of equilateral triangle = 3a
3a = 273
a = 273/3
a = 91
hence, length of side of the triangle is 91
What is the coefficient of the x to the power of 4 y to the power of 3 term in the expansion of (x-2y) the the power of 7?
Answer:
-280
Step-by-step explanation:
step-by-step explanation: so ( x-2y)^7 expanded is: x^7-14 x^6y+84x^5y^2-280x^4y^3+560x^3 y^4-672x^2y^5+448xy^6-128y^7. The x^4y^3 term would then be -280 x^4y^3,meaning the coefficient (the number before the variables) here is 280
Round 0.293263 to the ten thousandths place
Answer:
0.293263 rounded to the ten thousandths place
=0.2933
Answer:
0.2933
Step-by-step explanation:
0.293263 is the decimal you have to round.
0.293263 (the first 2 is in the tenths place)
0.293263 (the 9 is in the hundredths place)
0.293263 (the first 3 is in the thousandths place)
0.293263 (the second 2 is in the ten-thousandths place)
0.293263 (the 6 is in the hundred-thousandths place)
0.293263 (the second 3 is in the millionths place)
They tell you to round the decimal to the ten thousandths place.
The second 2 is in the ten-thousandth place (0.293263).
To round digits you look at the number to its right, if it is 5-9 you round the number up, if it is 0-9 you leave the number as it is.
The number to the right of the number we're rounding (the 2 in the ten-thousands place) is a 6, 6 is a 5-9 number so we round the ten-thousands place digit up 1 number, (from 2 to 3).
And we have our rounded number 0.2933
Hope that helped... Chow!
How do you write – 6 5/9 as a decimal?
Answer: 6.56
Step-by-step explanation:
Here are the detailed math steps we use to convert 6 5/9 mixed number to decimal form:
Step 1: Multiply the whole number by the denominator:6 × 9 = 54
Step 2: Add the product you got in Step 1 to the numerator:54 + 5 = 59
Step 3: Divide the sum from Step 2 by the denominator:59 ÷ 9 = 6.555556
That's it folks! The answer to 6 5/9 in decimal form is displayed below:
6 5/9 ≈ 6.56
What fraction of the square is shaded if the line inside divides the square into two equal parts?
During his winter vacation, George reunited skis and boots for 5 days from the slope slayer ski shop. The shop charges the same rate for each day of a rental. Including a $7.50 application fee, George paid a total of $177.25 to rent skis and boots.
What is the rate of change, in dollars per day, for the function that represents George’s rental cost.
A. 7.50
B. 33.95
C. 35.45
D. 42.95
Answer:
B. 33.95
Step-by-step explanation:
177.25 - 7.50 = 169.75
169.75/5 = 33.95
which of these are examples of a statistical question's?
A) how many computers are in the school's lab?
B) how many letters are in the word direction?
c) what are the favorite books of each member of the book club?
b) how many people volunteered to help at the community's Christmas festival?
e) how many video games were purchased last year by each student in Mr. hills math class
Answer:
See below for answers and explanations
Step-by-step explanation:
A is not a statistical question because there's only a specific value of computers in the lab
B is not a statistical question because there is only one answer, which is 9 letters
C is a statistical question because members can have different favorites (or they find it hard to choose one).
D is not a statistical question because there is only one amount of people that helped out.
E is not a statistical question because each student purchased their own amount of video games and data can be collected for each individual student
Solve for f.
4
f − 3
=
5
f − 6
There may be 1 or 2 solutions.
f =
or f =
Answer:
3
Step-by-step explanation:
4f-3 = 5f-6
First I would try to get the f's on one side and the other numbers on the other, to do this you woudl have to add 6 to both sides
4f -3 = 5f -6
+6 +6
Making it into: 4f + 3 = 5f
Now to get the 4f on the other side we will have to subtract it from both sides
4f +3 = 5f
-4f -4f
3= f (Remember you do not have to put the 1, making 3 your answer)
Determine the most appropriate model for the data in the table.
Please help
Answer:
An exponential model will be the best for the data.
Step-by-step explanation:
If you chart this data (either using a calculator, excel, or an online tool like desmos), it is clear that the curve is exponential.
Furthermore, if you run regression, you can find that the curve [tex]4*2^x[/tex] fits the data quite nicely.
Jack bought five bracelets and one necklace
for $24. Jill bought six bracelets and four
necklaces for $54. Write an equation for each
person. Use b to represent the number of
bracelets and n to represent the number of
necklaces
Answer:
Jack: 4 x 6 = 24
Jill: 5.4 x 10 = 54
Step-by-step explanation:
Jack:
5 + 1 = 6
24 ÷ 6 = 4
4 = $4 per item
Jill:
6 + 4 = 10
54 ÷ 10 = 5.4
5.4 = $5.4
B: 11
N: 5
Hope this helps!
How many ways can we list the names Bobby, Billy, Mickey, Sally, Betty, Jimmy, Mary, and Fred? Show your work and leave your answer in either exponential or factorial form.
Answer:
40,320
Step-by-step explanation:
8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
The factorial of a natural number is denoted with n! and is equal to the product of all the natural numbers in sequence from 1 to n.
What is a Factorial?This refers to the different ways a thing can be arranged from an available selection of items.
Hence, given that we do not have the complete information, we can only give you a general overview of how to solve a factorial and get answers.
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i need to learn how to do this
If a+5=b, then what is the value of (b-a)^4
Answer:82
Step-by-step explanation:
90 + 90 × 10%
= 90 + 90 × 0.10
= 90 + 9
= 99
4.5cm
4) What is the surface area for the shape to the
right?
A
B
72cm
Acm
9.0cm
С
e
С
27.5
*4.5
81
D
e
8.1cm
22
8.1
72
60
44
26
18.0
7.2 2
19
1648
1648
1905
129384
3210
7.2cm
4.5cm
B
26.0
funar in her famous cookie recipe.
Answer:
203.67
Step-by-step explanation:
all those numbers are confusing, but this is what i get from the picture
triangle area formula = 1/2 base * height
rectangle area formula = L * W
AB = 1/2 base * height, = 1/2 * 9 * 4, = 18
ab is the same as AB =18
C = 8.1 * 4.5 = 36.45
D = 8.1 * 7.2 = 58.32
E = 8.1 * 9 = 72.9
added together = 203.67
Lauren bought 10 packs of dog toys. If there are 10 dog toys in each pack, how many packs of dog toys did Lauren buy?
10 packs of dog toys; or 100 dog toys all together.
Step-by-step explanation:
If Lauren bought 10 packs of dog toys, and there are 10 dog toys in each pack, you could simply multiply 10•10, which would come out to 100 dog toys.
what is the answer? tap on the image
Answer:
D
Step-by-step explanation:
The distance between point C and the y axis is 2 units
The distance between point A and the y axis is 9 units
2<9
D
Answer:
its d, point c is closer to the y-axis than point a
Step-by-step explanation:
PLEASE PLEASE HELP ME WITH THE BOTTOM ONE!!!
a copy machine can reduce the size of the material being copied. A diagram measure 16 cm wide by 20 cm long is reduced if the diagram on the reduced copy is 15 cm long what is its width
Find the volume of the cone shown as a decimal rounded to the tenth. 22m 12m
Answer:
b
Step-by-step explanation:
the volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius , h is the height )
here diameter = 12 , so r = 12 ÷ 2 = 6 and h = 22 , then
V = [tex]\frac{1}{3}[/tex]π × 6² × 22
= [tex]\frac{1}{3}[/tex]π × 36 × 22
= [tex]\frac{1}{3}[/tex]π × 792 ( cancel 3 and 792 by 3 )
= π × 264
≈ 829.4 m³ ( to the nearest tenth )
PLS I GIVE BRAINLIEST
The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°.
How to determine a missing angle within a geometrical system
By Euclidean geometry we know that squares are quadrilaterals with four sides of equal length and four right angles and triangles are equilateral when its three sides have equal length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.
Finally, we must solve the following equation for the angle QUP:
m∠QUR + m∠QUP + m∠PUT + m∠RUT = 360
60 + m∠QUP + 60 + 90 = 360
m∠QUP + 210 = 360
m∠QUP = 150
The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°. [tex]\blacksquare[/tex]
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