Answer:
[tex](rs)(4) = 8[/tex]
Step-by-step explanation:
Given
[tex]r(x) = 2\sqrt{x[/tex]
[tex]s(x) = \sqrt x[/tex]
Required
Determine [tex](rs)(4)[/tex]
In functions:
[tex](fg)(x) = f(x) * g(x)[/tex]
This implies that:
[tex](rs)(x) = r(x) * s(x)[/tex]
Substitute values for r(x) and s(x)
[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]
[tex](rs)(x) = 2(\sqrt{x})^2[/tex]
[tex](rs)(x) = 2x[/tex]
Substitute 4 for x
[tex](rs)(4) = 2 * 4[/tex]
[tex](rs)(4) = 8[/tex]
Someone please help! I’m willing to pay for someone to help me with my five problems!
Answer:
28
Step-by-step explanation:
Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28
If you need more help, you can comment! :)
The spring shown below is sitting on a flat surface and it is pushed together with a weight.
What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
Help plz
Answer:
its elastic i got it correct trust me also put brainliet plz
Step-by-step explanation:
Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075
Answer:
D.) 0.075
Step-by-step explanation:
HELP! whoever gets it right gets brainliest!
Answer:
The answer is B
Step-by-step explanation:
Answer is B
Answer:
The answer is B
Step-by-step explanation:
BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER
10 x 1/10 brainliest if answer not 1
Answer:
10/10
Step-by-step explanation:
Hi I need help please
Answer/Step-by-step explanation:
Recall: if two figures are similar, we know that the ratio of their areas = the square of the ratio of their corresponding sides
Apply this knowledge to solve the problems given.
✔️Problem 1 (4-sided polygon):
Let the missing area be x cm²
Therefore,
[tex] \frac{x}{9} = \frac{8^2}{4^2} [/tex]
[tex] \frac{x}{9} = \frac{64}{16} [/tex]
[tex] \frac{x}{9} = 4 [/tex]
Multiply both sides by 9
x = 9*4
x = 36 cm²
✔️Problem 2 (3-sided polygon):
Let the missing area be y cm²
Therefore,
[tex] \frac{y}{240} = \frac{8^2}{32^2} [/tex]
[tex] \frac{y}{240} = \frac{64}{1,024} [/tex]
[tex] \frac{y}{240} = \frac{1}{16} [/tex]
Multiply both sides by 240
y = ¹/16 × 240
y = 15 cm²
✔️Problem 3 (5-sided polygon):
Let the missing area be z cm²
Therefore,
[tex] \frac{z}{40} = \frac{3^2}{2^2} [/tex]
[tex] \frac{z}{40} = \frac{9}{4} [/tex]
Multiply both sides by 40
[tex] z = \frac{9}{4} * 40 [/tex]
[tex] z = \frac{9}{1} * 10 [/tex]
z = 90 cm²
Georgia’s gross pay was $35,600 this year. She is to pay a federal income tax of 16%. How much should Georgia pay in federal income tax this year? Round to the nearest dollar.
Answer:
C on Edg
Step-by-step explanation:
<3
Tennis balls are stored in a cylindrical container with height 21 centimeters and diameter 7 centimeters. Three tennis balls fit in one container.
a. Find the volume of the container.
b. Find the volume of a tennis ball.
c. Find the percentage of the container taken up by the tennis balls.
Solution :
Given that :
Height of the cylinder, h = 21 cm
Diameter of the cylinder, d = 7 cm
Radius = 3.5 cm
Number of balls fits in the cylindrical container = 3
a). The volume of the container is given by
[tex]$V = \pi r^2 h$[/tex]
= 3.14 x 3.5 x 3.5 x 21
= 807.76 cm cube
b). Volume of each tennis ball is given by :
[tex]$V=\frac{4}{3}\pi r^3 $[/tex]
[tex]$V=\frac{4}{3}\times 3.14 \times (3.5)^3 $[/tex]
= 179.50 cm cube
c). Volume of three tennis balls = 3 x 179.50
= 538.50 cm cube
Therefore, percentage of the container taken up by the three tennis ball is :
[tex]$=\frac{807.76 - 538.50}{538.50} \times 100$[/tex]
= 50 %
The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.
Step-by-step explanation:
lenght = x + 8
width = x
[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]
then
Lenght = x + 8 = 20 + 8 = 28
Width = x = 20
Step-by-step explanation:
L=8+2W
P=2L+2W
P=2(8+2W)+2W
P=16+4W+2W
P=16+6W
P=96
96=16-6W
80=6W
W=13.3333
Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3
Answer:
3+5=5+3
Step-by-step explanation:
a+b=b+a
comunitive property
Answer:
3+5 = 5+3
Step-by-step explanation:
Communative Property states that the numbers on which we operate (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.
HELP ME AGAIN PLSSSSS
Answer:
16
Step-by-step explanation:
4^2 = 16
4×4=16 thats the answer
1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed.
PLS HELP ASAP THIS IS DUE TODAY SOON I NEED ANSWERS FOR BOTH THE PROBLEMS CAN U WORK THEM OUT FOR ME PLS
the prime factorization of 140 is 2^2 x 5 x 7
the prime factorization of 80 is 2^3 x 5 x 2
Identify each point as a solution of the system or not a solution of the system.
7 6 5 3 2
23
4 5
6
7
-1
5
(0,4)
(-2,4)
(0,5)
Answer:
I think it is ether-1 or o,5
Answer:
Did you got the answers for this whole I need them please
What is the solution
A. -2
B.1
C.(1,2)
D.(1,-1)
Answer:
Option D
Step-by-step explanation:
Two lines given in the graph represent the system of linear equations.
Solution of the system of linear equations is given by the common points of both the lines Or point of intersections of these lines.
Point of intersection of these lines → (1, -1)
Therefore, solution of the given system of equations will be (1, -1)
Option D is the answer.
What is the equation for proportions? What does each letter represent?
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
Step-by-step explanation:
look at the attachment.
Romeo will roll a 6 sided number cube numbered 1-6 what is the probablility of rolling an odd number on the first roll and then number 4 on the second roll. a 1/12. b 1/6. c 1/4 d 1/3
Answer:
D
Step-by-step explanation:
Answer:
[tex]a.\: \frac{1}{12}[/tex]
Step-by-step explanation:
The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.
The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.
Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].
5 + 11y + 9 what is the answer
Answer: 11y+14
Step-by-step explanation:
Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]
Thus, the house is 18.75 feet tall.
Work out volume of this sphere leave your answer in terms of pi
Answer:
36pi
Step-by-step explanation:
Volume formula = 4/3 × pi × r^3
find the equation of the line that is perpendicular to y=-2/3x and contains the point (4 -8)
Answer:
y = 3/2x + -14
Step-by-step explanation:
y = -2/3 x
has a slope of -2/3
We want a line perpendicular
Take the negative reciprocal to find the slope
- (1 / -2/3)
3/2
The slope of a line perpendicular is 3/2
Using the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = 3/2x +b
Substitute a point into the equation
-8 = 3/2(4) +b
-8= 6+b
Subtract 6 from each side
-8-6 = b
y = 3/2x + -14
18 = 0.29 so 20 = ???
Answer:
x=29/90 or 0.3222222
Step-by-step explanation:
ok, rewrite the question as a ratio
18/0.29=20/x, cross multiply
18x=.29*20, evaluate x
18x=5.8
x=29/90 or 0.3222222
29
Step-by-step explanation:
29/90
During class, students were asked to talk to their neighbor to determine whether
3/9 represents a repeating decimal or a terminating decimal. Diego told his
neighbor that 3/9 represents a terminating decimal. Is Diego correct? Explain
your reasoning in a full sentence.
Your answer
help pls I really need it
a streamer going downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 kilometre per hour . find the distance between two towns
Answer:
360 km
Step-by-step explanation:
Let stream speed = x
Speed of water = 3km/hr
Therefore,
Upstream speed = (x - 3) km/hr
Downstream speed = (x + 3) km/hr
Time taken downstream = 15 hours
Time taken upstream = 20 hours
Recall:
Distance = speed * time
Upstream Distance = downstream distance
20(x - 3) = 15(x + 3)
20x - 60 = 15x + 45
20x - 15x = 45 + 60
5x = 105
x = 105 / 5
x = 21
Upstream speed = (21 - 3) = 18
Distance between the two towns :
18 * 20 = 360 km
Triangle TSR is similar to Triangle TNM
Which statement below is true?
Answer:
[tex]\overline{SR}\sim \overline{NM}[/tex]
Step-by-step explanation:
In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.
TWENTY POINTS!!! PLEASE HELP!!!
Find Greatest Common Factor:
33x^5y^7-99x^6y^9-66x^5y^8
I will give brainiest to whoever answers correctly !!
Answer:
thanks for the oints
Step-by-step explanation:
Find the volume of the prism.
Answer:
360 ft^3
Step-by-step explanation:
plz brainliestt
use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5
Hey there!
• A.
–5 + 7 – 2 = ?
–5 + 7 = 2
2 – 2 = 0
Answer: 0 ☑️
• B.
–4 * 3 = ?
“Guide”
• Negative & Negative = Positive
• Positive & Positive = Positive
• Negative & Positive = Negative
• Positive & Negative = Negative
• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!
–4 * 3 = –12
Answer: –12 ☑️
• C.
3.5 + 4.5 = ?
5 + 5 = 10
• CARRY your 1
3 + 4 + 1 = ?
3 + 4 = 7
7 + 1 = ?
Answer: 8 ☑️
You basically had to do ORDER OF OPERATIONS / PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)