Answer:
Step-by-step explanation
Goodbye
the table below shows some inputs and outputs of the invertible function f etc
Answer:
[tex](a)\ f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)=0[/tex]
Step-by-step explanation:
Given
The attached table
[tex](a)\ f^{-1}(-15)[/tex]
This represents an inverse function.
So, we look into x row for its value.
i.e.
[tex]f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)[/tex]
Just like (a)
[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows
[tex]f(9) = 11[/tex]
So:
[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]
[tex]f^{-1}(4) + f(9)=0[/tex]
In the diagram below, a right circular cone with a radius of 3 inches has a slant height of 5 inches, and a right cylinder with a radius of 4 inches has a height of 6 inches. Determine and state the number of full cones of water needed to completely fill the cylinder with water.
this is the correct answer
The number of full cones of water needed to completely fill the cylinder with water is 8 cones.
What is Volume of cylinder?The Volume of Cylinder is, V= πr²h
where r is the radius, h is the Height of cylinder.
Given:
Cylinder:
Height= 6
Radius = 4
Volume of cylinder = πr²h
= πx 4 x 4 x 6
= 96π in³
and, Cone:
Radius = 3
l = 5
h= √5²-3²
h = √25-9
h= √16
h= 4 inch
So, Volume of Cone = 1/3 πr²h
= 1/3 x π x 3 x 3 x 4
= 12π in³
Thus, number of full cones of water needed to completely fill the cylinder with water
= 96π in³/ 12 π in³
= 8 cones
Learn more about volume of cylinder here:
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100 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
15
Step-by-step explanation:
To find the answer you multiply the length by the width.
5×3=15
A circle is centered about the point (2, 0). The point (0, 1) is on the circle. Which statement proves that the point (4, 1) is also on the circle?
Answer:
Step-by-step explanation:
the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:
r^2=0^2+4^2
r^2=16
r=4
so we can check that the other point is four units from the origin and thus also on the circle...
d^2=2^2+6^2
d^2=4+36
d^2=40
since d^2>r^2, (2,6) is outside the circle
Which graph best represents the equation x^2 + (y-1)^2=3? (Refer to picture)
Answer:
the smallest circle one
center => (0,1)
radius = √3 = 1.73
Graph C best represents the equation x² + (y-1)²=3². The given equation is compared by the standard equation to form a graph.
What is the equation for a circle centered at (x,y) with a radius of r units?If a circle O has a radius of r units and its center is at (h, k) in the coordinate plane, then its equation is:
(x-h)^2 + (y-k)^2 = r^2
The given data equation is;
x² + (y-1)²=3²
Compare the standard equation with the given equation, we get;
h=0
k=1
r=3
Graph C best represents the equation x² + (y-1)²=3².
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What is the volume of the cube shown below?
Find Hypotenuse HELP
Answer:
use this formula
1 no .H^2=p^2+b^2
H^2=8^2+15^2
H^2=64+225
H^2=289
H=[tex]\sqrt{289}[/tex]
H=17
2 no. H^2=P^2+B^2
H^2=20^2+21^2
H^2=400+441
H^2=841
H=[tex]\sqrt{841}[/tex]
H=29
Step-by-step explanation:
Hope this helps u!!
Answer:
pythagoras therom
a) square root 8²+15²=17
b)square root 20²+21²=29
PLZ HELP ME , PLZ HELP AND PLEASE, PLZ HELP JUST PLZ HELP THANK YOU FOR YOUR TIME
Use the box plot to explain what you know about the spread of this data set.
Answer:
Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!
bit.[tex]^{}[/tex]
Answer:
The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"
The median of the data is 50 (middle line inside the box)
The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.
The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.
The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.
Let me know if you have questions about this answer. I'm happy to help.
How to find the area of a triangle using trig
Hope this helps you out in your journey for the test
What is 2 + 2 I'm in 11th grade and my teacher gave me this question?
Answer:
2+2=4
Step-by-step explanation:
I don't even know why this is a question
Answer:
2+2 is 4 ok tell ur thecher it is four
Step-by-step explanation: lol
HELP ASAP !
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
find the slope between the pair of points.
through: (1,-3) and (2,3)
Answer:
6
Step-by-step explanation:
Slope = delta y/delta x
[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]
Slope = (-3-3)/(1-2)
Slope = -6/-1
Slope = 6
Answer:
6
Step-by-step explanation:
Given :-
Two points (1,-3) and (2,3)And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.
Substituting the respective values :-
[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂
[tex]:\implies[/tex] m = -3 -3 / 1 - 2
[tex]:\implies[/tex] m = -6/-1
[tex]:\implies[/tex] m = 6
Hence the slope of the line is 6.
Solve these 2 parts please. 1 by 1 solve these two.
deduct for thousand eleven hundred and a half from twelve thousand twelve hundred and twelve
Answer:
8111.5
Step-by-step explanation:
Deduct for thousand eleven hundred and a half from twelve thousand twelve hundred and twelve
Rewriting the above question in figure :
4000 + 100 + 0.5 = 5100.5
12000 + 1200 + 12 = 13212
13212 - 5100.5 = 8111.5
= 8111.5
A combined total of $53,000 is invested in to two bonds that pay 2% and 8.5% simple interest. The annual interest is %3,335. How much is invested in each bond?
Find the greatest common factor of 12 and 32.
A) 9
B) 12
C) 6
D) 4
Answer:
4
Step-by-step explanation:
Answer:
12 = 2 × 2 × 3
32 = 2 × 2 × 2 × 2 × 2
Greater Common Factor = 2 × 2 = 4
Help please I'm terrible at trigonometry
Two girls are standing 100 feet apart. They both see a beautiful seagull in the air between them. The angles of elevation from the girls to the bird are 20° and 45°, respectively. How high up is the seagull? Round to three decimal places. Show your work.
Answer:
[tex]\huge\boxed{\sf h = 26.684\ feet}[/tex]
Step-by-step explanation:
See the attached file along with the solution.
Let the height be h,
base of triangle 1 be x
base of triangle 2 be 100 - x
Using the following trigonometry for both the triangles.
[tex]\displaystyle tan (\theta) = \frac{opposite}{adjacent}[/tex]
For triangle 1:
tan 20 = h / x ---------------------(1)
For triangle 2:
tan 45 = h / 100 - x -----------------(2)
Taking Eq. (1)
tan 20 = h / x
Multiply both sides by x
tan 20 * x = h
h = tan (20) * x
h = 0.36397x -----------------------(3)
Put Eq. (3) in (2)
tan (45) = 0.36397x / 100-x
1 = 0.36397 x / 100 - x
Multiply both sides by 100 - x
100 - x = 0.36397 x
Add x to both sides
100 = 0.36397 x + x
100 = 1.36397 x
Divide both sides by 1.36397
100 / 1.36397 = x
73.315 = x
x = 73.315 feet
Now, Finding h (height):
tan 20 = h / x (Eq. (1))
h = tan (20) * x
h = 0.36397 * 73.315
h = 26.684 feet
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807ASAP PLSS HELPPP!!!!!! If the area of a triangle is 78 square meters and the height of this triangle is 13 meters, what is the length of the base of this triangle?
A)None of these answers are correct
B)32.5 m
C)507 m
D)1,014 m
E)12 m
Answer:
E. 12 m
Step-by-step explanation:
b = 2×A/h
= 2×78/13
= 156/13
= 12 m
WILL
GIVE BRAINLIST
ANSWER
...
MATH
Answer:
Kindly check explanation
Step-by-step explanation:
Entire circle has 360 degree, hence, the degree taken up by each sport is a product of the percentage and 360°
Sport ___ percent ___Degree occupied
Baseball __ 15% __ 15% * 360 = 54°
Football ___10% __ 10% * 360 = 36°
Basketball _ 57% __ 57% * 360 = 205.2°
Soccer ____ 12% __ 12% * 360 = 43.2°
Others ____ 6% ___ 6% * 360 = 21.6°
follow the picture this is confusing
Step-by-step explanation:
This is a familiar conversion problem:
[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]
[tex] = 1.95 \times {10}^{15} \: miles[/tex]
Answer:
see below
Step-by-step explanation:
3.3 × 10^2 light years
one light year is 5.9 × 10^12 miles
you need to multiple these two values
3.3 × 10^2 light years × 5.9 × 10^12 miles/light year =
= (3.3 × 5.9) × 10^2 × 10^12
= 19.47 × 10^(2 + 12)
= 1.947 × 10^1 × 10^14
= 1.947 × 10^15 miles
y=3x²+3x+1,find the value of the discrimination
Answer:
Step-by-step explanation:
a = 3
b = 3
c = 1
Discriminate = sqrt(b^2 - 4ac)
Discriminate = sqrt(9 - 4*3*1)
Discriminate = sqrt(9 - 12)
Discriminate = sqrt(-3)
What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.
You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.
what is the permiter of the figuere
Answer:
68.7
Step-by-step explanation:
7
1 point
What is the area of the 26ft by 14ft pool?
Type your answer...
Answer:
364 ft
Step-by-step explanation:
26x14=364
Find the area of the figure
area: units2
Answer:
24 units²
Step-by-step explanation:
Top triangle: 1/2x2x4=4
Main rectangle: 2x4=8
Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12
4+8+12=24
The side of square is 5 meters find the area of square?
Answer:
Area = 25m²
Step-by-step explanation: A=a²=5²=25m²
Answer:
25m²
Step-by-step explanation:
Simply multiply the number of total sides of the shape(4) and the measurement of each side (5m)
4 sides x 5 meters = 25m²
always put m² after your final answer
The surface area is what?? These are the numbers 14 cm, 14cm, and 10cm
Pls answer fast
Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196
196 + 280 = 476
Final answer = 476
Cindy's soccer team played 20 games this
season. They won 60% of their games
and lost the rest. What was their record
of wins and losses?
Answer:
Wins: 12
Losses: 8
Step-by-step explanation:
60% of 20 is 20 x 0.6 = 12
20 - 12 = 8
PLS HELLP ILL GIVE YOU BRAINALIST
Answer:
88 units
Step-by-step explanation:
The required perimeter is 88 units.
What is the value of x in the solution to this system of equations?
5x+2y=67x=3y−7
Question 4 options:
6
18.5
24
11
Answer:
x = 11
Step-by-step explanation:
Given the expression;
5x+2y=67 ...1
x=3y−7 ....2
Substitute 2 into 1
5(3y-7)+2y = 67
15y - 35 + 2y = 67
17y = 67+35
17y = 102
y = 102/17
y =6
Recall that x = 3y - 7
x = 3(6) - 7
x = 18 - 7
x = 11
Hence the value of x is 11
Cameron's father wouldn't allow her to play with her friends until her room was spotless. Cameron hated cleaning; it was boring. She sat on her bed, taking in the chaos that surrounded her. There were piles of books on her desk, her bed was unmade, and her clean laundry sat in a basket by the door. It would take forever to tidy this room! Suddenly, Cameron had a brilliant idea. She rummaged through her sports bag and found a stopwatch. She would turn the chore into a game by timing herself. Cameron started the timer and buzzed frantically about the room, putting clothes and books away before making the bed. About fifteen minutes later, her room was completely organized. Satisfied with her time, she now needed her father's approval. Upon inspection, Cameron's father seemed happy with the results. With her chores complete, Cameron raced outside to meet her friends.
One conflict in the story is that
(Links to an external site.)
A) Cameron does not think her room is messy.
B) Cameron does not want to clean her room.
C) Cameron's friends are waiting for her.
D) Cameron's father is upset with her.
Answer:
B
Step-by-step explanation:
how is that mathematics ?
this is psychology or something related.
A is clearly wrong. she knows it is messy.
C is not a conflict. this is the precondition for the conflict.
D no, that is nowhere stated. wrong.
that leaves B if it was not clear from the beginning.