Answers
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
Related Questions
Each question is worti 2 punts
5. The Eiffel Tower, shown to the right, has a width of 328 feet and a height of 984 feet. Maria
is designing a T-shirt for her trip to France and she wants to put a picture of the Eiffel tower on
the front of the shirt. The maximum space she can use on the shirt is a rectangle with a width of
.75 feet and a height of 1.5 feet. Maria uses a scale factor of where k is an integer, to shrink
the Eiffel Tower and fit it on the t-shirt. What is smallest possible value for k?
Answers
Answer:
The smallest possible value of k is 656
Step-by-step explanation:
The given width of the Eiffel Tower, w₁ = 328 feet
The given height of the Eiffel Tower, h₁ = 984 feet
The width of the space Maria can use on the shirt, w₂ = 0.75 feet
The height of the space she can use on the shirt, h₂ = 1.5 feet
We get;
The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3
The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2
Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower
Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt
Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower
Mathematically
k = h₁/h₂
∴ k = 984/1.5 = 656
The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.
Please help find the volume by using 3.14 as pi
Answers
Answer:
P
v = 794.0275 in³
Q
v = 1,307.81 in³
Step-by-step explanation:
volume of cone
v = πr²h
----------------------------
cylinder P
v = 3.14 * (4.25²) * 14
v = 794.0275 in³
-----------------------------
cylinder Q
v = 3.14 * (7²) * 8.5
v = 1,307.81 in³
How many liters are equivalent to 25 ml
Answers
Answer:
0.025 liters
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
0.025 liters
Step-by-step explanation:
Nick spends 18% of his monthly budget on his rent payment, which is $700.
Which proportion can be used to calculate Nick’s total monthly budget?
Answers
Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]
Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]
In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]
You purchase 75 shares of stock at $15 per share. The next day the stock drops 3%; however, a week later it increases in value by 7%. If you immediately sell your 75 shares, how much will you gain or lose (a) in dollar amount and (b) in percent?
Answers
Answer:
You have gained $43 and the value increased by 3.8%
Step-by-step explanation:
You would 75 times 15 = $1125
then you would do 1125 times 97% = 1091.25
now you would do 1091.25 times 107% = estimation of 1168
then you would do 1168/1125 which is estimated to 1.038 and you would convert that into a percentage = 103.8%
You would do 1168 - 1125 = $43 and 103.8 - 100 = 3.8%
If ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?
Answers
Answer:
4,8,12 hope that helps heeeeheheʘ‿ʘ
For the pair of similar triangles, find the value of x.
Answers
Answer: The value of x is 184.
Step-by-step explanation:
According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.
Now calculating the value of x for the given pair of similar triangles.
According to the given figure:
24 × (2x - 8) = 45 × (x + 8)
(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)
48x - 192 = 45x + 360
48x - 45x = 360 + 192
3x = 552
x = 184
Thus, the value of x is 184.
A set of parents started a savings account for their newborn child. After 7 years, the
child's account had 900 dollars. The balance in the account continues to grow by a
factor of 5 in value every 7 years. Let n be the number of 7-year periods since the
account was started.
Which function, f(n), represents the value of the savings account?
Answers
Answer:
hsshshshwwbwbbs29oooo
does anyone get this ?
Answers
Answer and Step-by-step explanation:
i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1
Since we know this, we can go to the last instance of the multiply of 4.
For this question, it is 12. 2 more after twelve is 14. Since it is 2, it would be -1.
D. -1 -- This is the answer.
#teamtrees #PAW (Plant And Water)
Do y’all know this?
Answers
Answer:
Step-by-step explanation:
x=[tex]\sqrt{100+16}[/tex]
x=[tex]\sqrt{116}[/tex]
x=2[tex]\sqrt{29[/tex]
Answer:
[tex] x = \blue{2\sqrt{29}} [/tex]
Step-by-step explanation:
[tex] a^2 + b^2 = x^2 [/tex]
[tex] 4^2 + 10^2 = x^2 [/tex]
[tex] 16 + 100 = x^2 [/tex]
[tex] x^2 = 116 [/tex]
[tex] x = \sqrt{116} [/tex]
[tex] x = \sqrt{4 \times 29} [/tex]
[tex] x = \blue{2\sqrt{29}} [/tex]
Please helppppppp me
Answers
Answer:
13
Step-by-step explanation:
< W = <V Given
WV = 8 Given
XV = 13 Given
Find XW
In an isosceles triangle if you are given the length of one of the sides opposite one of the two equal angles, then the side opposite the other equal angle is equal to the given side.
In sort XV = 13. < V = <W XW = 13
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9. Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Answers
Answer:
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
Step-by-step explanation:
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.
O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.
Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
What is the measure of ZWX?
Answers
Step-by-step explanation:
180°+63°
=243°
holp it help
Andrea played dominos nonstop for 52 minutes in Little Havana. If each match lasted 13 minutes, how many matches did she play in that time?
Answers
Answer:
4 Matches
Step-by-step explanation:
According To the Question,
Given, Andrea played dominos nonstop for 52 minutes.And, each match lasted 13 minutes .Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]
Thus, Total Matches = 52 / 13 ⇔ 4 Matches
PLEASE HELP! NO SPAMMING! SHOW WORK!
The ratio of the dimensions of the model to the dimensions of the Great Pyramid is about 1 to 38. The surface area of the real pyramid is about how many times the surface area of the model.
Dimensions: a pyramid with a square base.
base sides: 6m
height: 4m
Answers
========================================================
Explanation:
Consider a square on paper that is 3 inches by 3 inches. It's area would be 3*3 = 9 square inches.
The ratio 1 to 38 means that 1 inch on paper corresponds to 38 inches in real life (assuming the "1 to 38" doesn't have any verbal units attached to it; if so, then refer to the note below). So a 3 by 3 square corresponds to a 114 by 114 square because 3*38 = 114.
The area of the second larger square is 114*114 = 12,996 square inches.
Now divide the two areas: (12,996)/(9) = 1444
It's probably not entirely obvious, but through a bit of playing around with various numbers, you should find that 38^2 = 1444. It's not a coincidence that this happens. The linear scale factor is 38 which means the area scale factor is 38^2 = 1444.
In short, the larger square in real life has area that is 1444 times that of its scaled down counterpart.
Or put another way:
large area = 1444*(small area)
------------------
Side note: This all assumes that the numbers in "1 to 38" are both the same unit. If we had a mixed ratio of units like "1 inch to 38 feet", then the answer would be different. You would need to convert from feet to inches, and then follow the steps above to get a different answer.
Evaluate: 4+8 / 2 x (6 - 3)
Answers
Answer:
16
Step-by-step explanation:
4+8/2*(6-3) = 4+8/2*3 = 4+4*3 = 4+12 =16
Answer:
18
Step-by-step explanation:
4+8 /2 *(6-3)
=4+8/2 * 3
=(4+8)*3/2
=12*3/2
=36/2
=18
6 g of butter is used for making a cupcake. How many such cakes can be made by using 3 kg of butter?
Answers
Answer: 500
Step-by-step explanation:
Given
6 g butter is required to make a cupcake
If there is 3 kg butter
We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm
No of cup-cakes made
[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]
Look at the attached screenshot.
Answers
Answer:
yes...
Step-by-step explanation:
In a right angled triangle where angle A= 90° and AB=AC. What are the values of angle B.
Answers
Answer:
45°Step-by-step explanation:
This is an isosceles right triangle as two legs are congruent.
The angle measure of both acute angles (B and C) is same:
m∠B = 90°/2 = 45°a) Use one of these symbols <, > or = to make each statement true.
(i) 18.4
| 18.04
(ii) 0.7
35
50
b) Round 173528 to the nearest hundred.
c) Write
as a decimal.
Answers
Answer:
(i) 18.4 > 18.04
(ii) 0.7 < 50 > 35
b) 173500
c) 173500
Step-by-s tep explanation:
(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.
(ii) Simple less than < greater than > skills.
b) Simple rounding.
c) The answers stays the same; rounding cannot be completed using JUST whole numbers.
Find the equation of the line parallel to y = 2/3x-7
passing through A(6,-1).
Answers
Answer:
y = 2/3x - 5
Step-by-step explanation:
If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:
y + 1 = 2/3 (x - 6)
y + 1 = 2/3x - 4
y = 2/3x - 5
what is
6
+0.2
————-
Answers
Answer:
Your correct answer will be 6.2
Step-by-step explanation:
First, we line up the decimal points, 0.2 plus 6.0, always add 0 to the number without the decimal.
Last, you just add them, and you will get 6.2
Mark me brainliest and have a good day!
What is the volume of the following rectangular prism?
Answers
Answer:
14 2/3 units^3
hope this helps
have a good day :)
Step-by-step explanation:
7 1/3 x 2=14 2/3
The volume of the rectangular prism is 14.66 square units.
It is required to find the volume of the rectangular prism.
What is prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given:
The volume is calculated as:
V= w h l
V= 7 1/3 x 2
V= 22/3 x 2
V= 44/3
V=14.66 square units.
Hence, the volume of the rectangular prism is 14.66 square units.
Learn more about prism here:
brainly.com/question/23946563
#SPJ6
Keelie has a triangular-shaped card. The lengths of its sides are 4.4 cm, 5.5 cm, and 6.6 cm. Is the card a right triangle?
Answers
Answer:
No
Step-by-step explanation:
We can use the Pytaghorean theorem to verify it
4.4^2 + 5.5^2 = 6.6^2
19.36 + 30.25 = 43.56
49.61 = 43.56 (false)
This circle graph shows the percent of land occupied by each continent.
The area of North America is approximately 220 million km2
.
Use the percents in the circle graph.
Find the approximate area of each of the other continents,
to the nearest million square kilometres.
Answers
The approximate areas of the continents (excluding North America) are as follows:
- Australia: 11 million km^2
- Europe: 15 million km^2
- Antarctica: 18 million km^2
- South America: 26 million km^2
- Africa: 44 million km^2
- Asia: 66 million km^2
To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).
1. Australia:
Percentage: 5%
Approximate area: 0.05 * 220 million km^2 = 11 million km^2
2. Europe:
Percentage: 7%
Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)
3. Antarctica:
Percentage: 8%
Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)
4. South America:
Percentage: 12%
Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)
5. Africa:
Percentage: 20%
Approximate area: 0.20 * 220 million km^2 = 44 million km^2
6. Asia:
Percentage: 30%
Approximate area: 0.30 * 220 million km^2 = 66 million km^2
Note: These values are rounded to the nearest million square kilometers.
For more such questions on continents
https://brainly.com/question/28440881
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What is the value of x to the nearest tenth?
A)7.2
B)4.8
C)12.0
D)9.2
Answers
Answer:
x = 7.2
Step-by-step explanation:
a² + b² = c²
x² + (19.2/2)² = (24/2)²
x² + 9.6² = 12²
Subtract 9.6² from both sides
x² = 12² - 9.6²
x² = 51.84
x = 7.2
Triangle ABC has angle measrures as shown
(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work
Answers
Answer:
[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:
[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]
Solving for [tex]x[/tex]:
[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]
Substitute [tex]x=11[/tex] to solve for angle C:
[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]
which function is nonlinear
Answers
Answer:
C, y=2x(x-4)
Step-by-step explanation:
All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).
Why was Elmo's Report Card All Wet?
Answers
Answer:
why was it ♂️
All of his grades were down below c level
hehe
=)
What would it be I got it wrong ?
