Find the circumference of each circle. Use 3.14 or 22/7 for Pi. Round to the nearest tenth if necessary.
Answer:
50.27
Step-by-step explanation:
Give me Brainllest
Which statement identifies how to show that j(x) = 11.6ex and k(x) = In (StartFraction x Over 11.6 EndFraction) are inverse functions?
Answer:
The answer is "It must be shown that both [tex]j(k(x))\ and \ k(j(x))=x[/tex]"
Step-by-step explanation:
Given:
[tex]j(x) = 11.6 e^{x} \\\\k(x) =\ln\frac{x}{11.6}[/tex]
To show that both are equal functions, and show that both[tex]j(k(x))\ and\ k(j(x)) =x,[/tex]
For [tex]j(k(x));[/tex]
[tex]j(k(x)) = j[(\ln \frac{x}{11.6})]\\\\j[(\ln (\frac{x}{11.6})] = 11.6e^{\ln (\frac{x}{11.6})}\\\\j[(\ln \frac{x}{11.6})] = 11.6(\frac{x}{11.6})\\\\[/tex](The natural logarithm is canceled by exponential function)
[tex]j[(\ln \frac{x}{11.6})] = 11.6 \times\frac{x}{11.6}\\\\j[(\ln \frac{x}{11.6})] = x\\\\j[k(x)] = x\\\\for\ \ k[j(x)]:\\\\k[j(x)] = k[11.6e^x]\\\\k[11.6e^x] = \ln (\frac{11.6e^x}{11.6})\\\\k[11.6e^x] = \ln(e^x)[/tex]
Its natural logarithm leaving x will nullify expanding universe.
[tex]k[11.6e^x] = x\\\\k[j(x)] = x[/tex]
In the question, it is seen that[tex]j[k(x)] = k[j(x)] = x[/tex], shows that the functions [tex]j(x) = 11.6 e^{x} \ and \ k(x) = \ln \frac{x}{11.6}[/tex] is inverse functions.
Answer:
C
Step-by-step explanation:
Ed2021
Mrs. Rogers' sister is two years older than Mrs. Rogers. Their combined ages add up to 88. How old is
Mrs. Rogers?
A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simplify your answer.
Answer:
A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is
300 cm2.
What is the height of the prism?
Which equation is true?
A.
43 + 24 = 38 + 30
B.
43 + 24 = 38 + 19
C.
43 + 24 = 38 + 24
D.
43 + 24 = 38 + 29
Answer:
43 + 24 = 67
38 + 29 = 67
This means that there equal making
D. 43 + 24 = 38 + 29
The correct answer.
Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?
Answer:
30%
Step-by-step explanation:
Find the percent discount by dividing the change in the price by the original price:
(684 - 478.6) / 684
205.4 / 684
= 0.3
So, the percent discount was approximately 30%
A collection of stamps consists of 22¢ stamps and 40¢ stamps. The number of 22¢ stamps is three more than four times the number of 40¢ stamps. The total value of the stamps is $8.34. Find the number of 22¢ stamps in the collection
Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
Round 245,675 to the nearest hundred thousand
The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, given that,
Round 245,675 to the nearest hundred thousand
we know,
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
so, we get,
here, to the nearest hundred thousand means 675 > 500
so, it will be 5,675 => 6000
we have,
Rounding off 245,675 to the nearest hundred thousand is:
246000
Hence, The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.
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Evaluate. 2.2^3 . 2^-5 .2^-1
A. -4
B, -8
C. 1/4
D. 1/8
Answer:
Step-by-step explanation:
2^3 . 2^- 5 . 2^- 1
= 2^( 3 - 5 - 1 )
= 2^( 3 - 6 )
= 2^- 3
= 1 / 2^3
= 1 / 8
If
2 . 2^3 . 2^- 5 . 2^- 1
= 2^1 . 2^3 . 2^- 5 . 2^- 1
= 2^( 3 - 5 - 1 + 1 )
= 2^( 3 - 5 )
= 2^- 2
= 1 / 2^2
= 1 / 4
please give it to me I'm giving you enough but do it well
these simple equations
Answer:
em sorry
Step-by-step explanation:
plsss beggg i need this right now. deadline now at 6:00 pm and it's 5:03 here so please answer this :(
Answer:
Step-by-step explanation:
-First one is -17.3
-6 months
-ıdk this one
The area of a rectangular field is 7371 m2. If the length of the field is 91 meters, what is its width?
Answer:
81 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = 7371 m²
Length (L) = 91 m
Width (W) =?
Area of a rectangle is given by the following equation:
Area = Length × Width
A = L × W
With the above formula, we can obtain the width of the rectangular field as follow:
Area (A) = 7371 m²
Length (L) = 91 m
Width (W) =?
A = L × W
7371 = 91 × W
Divide both side by 91
W = 7371 / 91
W = 81 m
Thus, width of the rectangular field is 81 m
This year, the price of a Christmas Cactus painting rose to $359. This is an increase of 15% more than last year’s price. What was the old selling price?
José and Wally install windows. Each day, José installs 5 more than 2 times as many windows
as Wally installs. If José installs 15 windows each day, which equation can be used to
determine the number of windows, w, that Wally installs?
A: 2w-5= 15
B: 2w +5= 15
C: 5w+2 = 15
D: 5w-2= 15
Trig homework. Find the two missing sides and write your answer as in simplified radical form.
Answer:
u = 8, v = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{u}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
u = 8
The triangle is right isosceles with legs congruent, so
v = 4[tex]\sqrt{2}[/tex]
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x=2√5
Step-by-step explanation:
1st method:
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
2nd method:
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
3rd method:
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Answer:
A = 126 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 9 , then
A = 14 × 9 = 126 cm²
The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write 4Vy^3/Vy as a single radical? Explain.
Answer:
The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y
Step-by-step explanation:
Answer:
Step-by-step explanation:
The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y,
PLS ANSWER THE QUESTION
Answer:
There are 3,750 sweets in the carton
Step-by-step explanation:
Here, we want to get the total number of sweets
From the question, we have that individual box have 50 sweets
So the number of sweets in the carton have 75 boxes will be the product of the number of sweets and the number of boxes
Mathematically, we have this as;
50 * 75 = 3,750 sweets
what is the length of AC
Answer:
16
Step-by-step explanation:
Mary made 12 bracelets. 9 of those bracelets are the color blue.
What percent of bracelets are blue?
Answer:
75%
Step-by-step explanation:
We know that Mary made twelve bracelets and also that nine of them are blue, we are then asked to find the percentage of the bracelets that are blue.
To solve, first get a fraction of how many of the bracelets are blue. Since there are twelve in total, 12 will be our denominator, and since 9 are blue, 9 will be our numerator.
[tex]\frac{9}{12}[/tex]
Now to turn this into a percentage, we need to reduce this fraction to the lowest we can. Both numerator and denominator are divisible by 3, so do as followed :
[tex]\frac{9/3}{12/3}[/tex]
[tex]\frac{3}{4}[/tex]
Divide 3 by 4 :
[tex]3/4 = 0.75[/tex]
Multiply 0.75 by 100 to get our percentage :
[tex]0.75 * 100 = 75[/tex]%
factor completely;
3x^2+4x-7
Answer:
(3x-7) (x+1)
Step-by-step explanation:
3x^2 - 4x - 7
First split the middle term
3x^2 + 3x - 7x - 7
Make into two separate expressions
(3x^2 + 3x) (-7x-7)
Take out what you can
3x (x+1) -7 (x+1)
Now you have your answers
(3x-7) (x+1)
The radioactive substance polonium-210, with a half-life of 138.39 days, is present in tobacco. Suppose that the soot in an ex-smoker's lungs contains 100 milligrams of polonium-210. How much radioactive polonium will remain after one year of not smoking
Answer:
16.07 milligrams
Step-by-step explanation:
From the question,
Using the formula of radioactive decay,
R/R' = 2ᵃ/ᵇ..................... Equation 1
Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.
Make R' the subject of the equation
R' = R/(2ᵃ/ᵇ)................ Equation 2
Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days
Substitute these values into equation 2
R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)
R' = 100/(6.222)
R' = 16.07 milligrams of plonium-210
Help please! No links!
For the following box plot, determine whether the given numbers would be considered outliers.
(Use the "IQR X 1.5" method.)
A. A height of 61 in.
B. A height of 69 in.
C. A height of 74 in.
D. None of these would be considered outliers.
Answer:
D option is your answer bro
wha the MIDPOINT of (-6, 8) and (6, -7)
Answer:
here you are:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
Step-by-step explanation:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
Someone help and plz make sure it’s right will mark brainiest if it is :)
Answer:
45°
Step-by-step explanation:
sinθ = 24/34
take the inverse sine of 24/34:
[tex]sin^{-1}(24/34)[/tex] = 44.9° ≈ 45°
HELP BRAINISET TO WHOEVER RIGHT
Answer:
A: 171.75
B: 170
Step-by-step explanation:
The mean (or average) can be found by...
- add all the numbers together (we will call this y)
- divide the total sum (or y) by the total amount of numbers used to add
Formula:
(x₁ + x₂ + x₃ + ... + xₙ) ÷ n
For A:
(172 + 130 + 173 + 212) ÷ 4 = 171.75
For B:
(136 + 184 + 168 + 192) ÷ 4 = 170
Hey, I really need help on this! This work is really hard and I just need a little help to get this right. Thank you!
Ans:wer:
is D:45
Step-by-step explanation:
Answer:
D: 45
Step-by-step explanation:
Volume = length x width x height
5 x 3 x 3 = 45
is this rational or irrational?
Answer:
rational
hope it helps.
The area of a rectangular park is 300 sq.M. If the length of the park is 25 m, find the breadth. *
Answer:
Breadth = 12 m
Step-by-step explanation:
Area of a rectangle is given by the formula,
Area = Length × Width
Value of area and length of the rectangular park has been given in this question.
Therefore, by substituting these values in the formula,
300 = 25 × Width
Width = [tex]\frac{300}{25}[/tex]
= 12 m
Therefore, width or breadth of the rectangular park will be 12 m.