Answer:
4π ft.
Step-by-step explanation:
Area = π r^2 = 4π = π2^2
- so the radius is 2 ft,
and the circumfrence = 2 π r
= 2*π*2
= 4π ft.
The circumference of the circle is 4π feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The formula for the area A of a circle with radius r is given by:
A = πr²
We are given that the area of the circle is 4π ft², so we can set up the following equation:
4π = πr²
Dividing both sides by π, we get:
r² = 4
Taking the square root of both sides, we get:
r = 2
The circumference C of a circle with radius r is given by:
C = 2πr
Substituting r = 2, we get:
C = 2π(2) = 4π
Therefore,
The circumference of the circle is 4π feet.
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What is the sum? 2x/x2 + x-4/9x
Answer:
(x² + 14x)/(9x²)
Step-by-step explanation:
To do this calculation process:
The first term: 2x/x² = 2/x.
Then: (2/x) + (x - 4)/(9x).
We should common the denominator by multiplying the denominators of the two terms (9x)(x) = 9x² and dividing each denominator by the common denominator.
So, it will be equal:
[(2)(9x) + (x - 4)(x)]/9x² = (18x + x² - 4x)/9x² = (x² + 14 x)/9x².
Fill in the table using this function rule
y=28-3x
Answer:
2 = 22
3 = 19
5 = 13
6 = 10
Step-by-step explanation:
To help with future questions, take whatever is for the x and plug it into the equation
Answer:
22,19,13,10
Step-by-step explanation:
First, Replace the x in the equation with parenthesis (), then inside of the () put the x value in the table so it would look like: y=28-3(2). Then solve by multiplying 2 by 3 so you have y=28-6. Then just subtract 6 from 28 to get 22. Rinse and repeat for the rest of the values. Your first value will be 22, second 19, third 13, and lastly 10. Hope this helps!
Calculate the perimeter of the shape below. Show your work,
Answer:
68 is the perimeter.
Step-by-step explanation:
You can find the perimeter by adding up all of the sides. 13 + 11 + 3 + 7 = 34. To find the other sides of the shape you do 11 + 7 and 13 + 3. 11 + 7 = 18. 13 + 3 = 16. 18 + 16 = 34. 34 + 34 = 68.
Find the area of the figure.
12 mm
6 mm
5 mm
CAN SOMEONE PLS HELPP
Boyce invested an average of $450 per month since age 34 in various securities for his retirement savings. His investments averaged a 4% annual rate of return until he retired at age 63. Given the same monthly investment and rate of return, how much more would Boyce have in his retirement savings had he started investing at age 20? Assume monthly compounding.
a $113,320. 00
b $321,946. 93
c $78,624. 00
d $224,749. 27
If Boyce had started investing when he was 20 the amount he would have more than he does in his retirement savings would be b. $321,946.93.
How much more would Boyce have?First convert the interest to a monthly rate:
= 4% / 12 months
= 1 / 3 %
Period:
= (63 - 34) x 12 months a year
= 348 months
Amount saved:
= Amount x ( (1 + rate) ^ number of periods - 1) / rate
= 450 x ( (1 + 1/3%)³⁴⁸ - 1 ) / 1/3%
= $294,811.07
If he started saving at 20, the number of periods would be:
= (63 - 20) x 12
= 516 months
Amount saved:
= 450 x ( (1 + 1/3%)⁵¹⁶ - 1 ) / 1/3%
= $616,758
The difference is:
= 616,758 - 294,811.07
= $321,946.93
Find out more on future value savings at https://brainly.com/question/26662056.
HELP!!!!!!!!!!!!!!!!!!!!!!
help me please it’s almost due at 10 am
Answer:
a no. is the answer
Step-by-step explanation:
b=a+13
or, 14 = 1+13
or, 14= 14 {True}
Answer:
b=a+13
b=1+13
b=14
again,
b=a+13
b=6+13
b=19
so the relationship between a & b is b=a+13
An archer shoots an arrow up towards a target located on a hill, which is shown by the graph.
A graph of a line and a parabola intersecting at (46.5, 9.3).
Which set of equations best models the point of intersection of the arrow and the target?
y = 0.006x2 + 0.35x + 6 and y = x
y = –0.006x2 + 0.35x + 6 and y = –x
y = 0.006x2 + 0.35x + 6 and y = 0.2x
y = –0.006x2 + 0.35x + 6 and y = 0.2x
As no graph is shown some basic information of parabola can be helpful
As it's. a hill hence the parabola facing downwardsa is negativeAnd a coordinate is given check it whether it is equal to second part of options
(46.5,9.3)We get
y≠xy≠-xy=0.2xLast two are radar now
As a must be negative option D has such similarities.
Option D is correct (Assumption)Answer:
[tex]\sf y = -0.006x^2 + 0.35x + 6\quad and\quad y = 0.2x[/tex]
Step-by-step explanation:
As the archer shoots the arrow up, the trajectory of the arrow can be modeled as a parabola that opens downwards. Therefore, this is a quadratic equation with a negative leading coefficient.
From inspection of the answer options, the path of the arrow is :
[tex]y=-0.006x^2+0.35x+6[/tex]
This means the options for the line equation are [tex]y=-x[/tex] and [tex]y=0.2x[/tex]
We are told that the point of intersection of the line and the parabola is at (46.5, 9.3). As both the x-value and y-value are positive, the equation of the line must be [tex]y=0.2x[/tex]
To confirm, substitute [tex]x=46.5[/tex] into the equation:
[tex]\implies y=0.2(46.5)=9.3[/tex]
Why at is 4x^2 -24x+7=3
Answer:
can you clear more I don't understand
A construction crew is lengthening a road that originally measured 53 miles. The crew is adding one mile to the road each day.
Answer:
Equation: 1=1
Length of the road after 16 days: 16 miles (if not adding to 53. if adding to 53, the answer is 69)
Explanation:
If they add one mile of road every day, its 1(mile) = 1(day.
Since its one mile every day, 16 days is 16 miles. Adding 53 + 16 = 69
A betta fish tank is in the shape of a cube. The volume of the fish tank is 216
cubic inches. What is the edge length, in inches, of the fish tank?
6)
Type the number in the box.
inches
To find this answer, we need to understand how to get the Volume.
We get the volume by the formula: L x W x H
L = Length
W = Width
H = Height
So, we can see that there are 3 units required to know for getting the volume, if that's true, then, to do the inverse operation of finding the volume. That can be done by using thie formula:
[tex]V=a^3[/tex]
a= edge
Solving for a
a=V⅓=216⅓=6
So hence, each of the Cube shaped Fish Tank is 6in³now, let's look at how to find whether our answer is right or wrong
6x6=36
36x6=216
So hence, our answer is right!
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Mark me brainliest!
Have a GREAT AWESOME day!
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The length of a betta fish tank that has a shape of a cube and volume of 216 cubic inches is 6 inches.
Volume of a cube
A cube has all its sides equal to each other. Therefore,
volume of cube = L³
where
L = lengthTherefore,
L = >
volume = 216 cubic inches
volume of cube = L³
216 = L³
cube root both sides
∛216 = ∛L³
L = ∛216
L = 6 inches
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On the number line below, the numbers a and b are the same distance from 0. What is a + b? Explain how you know.
If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a
Answer:
If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a.
The formula for the volume of a cylinder is V=pi * r^2 * h.
Solve the formula for r
Answer:
Step-by-step explanation:
Remark
What you want to do is get r on one side of the equal sign and everything else on the other.
Givens
V = pi r^2 h
Solution
Divide by pi
V/pi = pi r^2 h/pi
V/p = r^2 * h
Divide by h
V / h pi = r^2 h / h Cancel h on the right side. Turn equation around
r^2 = V / h pi
Take the square root of both sides
√r^2 = √(V / h pi )
r = √ (V / h pi)
Answer r =√ (V / h pi)
[tex]a^{2} +1=6a[/tex] then what is [tex]7 [a^{2}+\frac{1}{a^{2} }[/tex]
will mark brainliest
Answer:
238
Step-by-step explanation:
Given equation: [tex]a^2+1=6a[/tex]
Rearrange so that it is equal to zero:
[tex]\implies a^2-6a+1=0[/tex]
Quadratic formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Using the quadratic formula to solve the given equation:
[tex]\implies a=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(1)(1)} }{2(1)}[/tex]
[tex]\implies a=\dfrac{6 \pm \sqrt{32}}{2}[/tex]
[tex]\implies a=3 \pm 2\sqrt{2}[/tex]
[tex]\implies a^2=17 \pm 12\sqrt{2}[/tex]
Substituting this into [tex]7\left(a^2+\dfrac{1}{a^2}\right)[/tex]
[tex]\implies 7\left(17 \pm 12\sqrt{2}+\dfrac{1}{17 \pm 12\sqrt{2}}\right)[/tex]
For [tex]17+12\sqrt{2}[/tex]:
[tex]\implies 7\left(17+12\sqrt{2}+\dfrac{1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17+12\sqrt{2})^2}{17+12\sqrt{2}}+\dfrac{1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17+12\sqrt{2})^2+1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{289+408\sqrt{2}+288+1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{578+408\sqrt{2}}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{34(17+12\sqrt{2})}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7(34)[/tex]
[tex]\implies 238[/tex]
For [tex]17-12\sqrt{2}[/tex]:
[tex]\implies 7\left(17-12\sqrt{2}+\dfrac{1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17-12\sqrt{2})^2}{17-12\sqrt{2}}+\dfrac{1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17-12\sqrt{2})^2+1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{289-408\sqrt{2}+288+1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{578-408\sqrt{2}}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{34(17-12\sqrt{2})}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7(34)[/tex]
[tex]\implies 238[/tex]
Help me please so i can get points real quick!!
Find the side length of the regular octagon whose perimeter is 674 centimeters??
Quick Answer
Smarties
Answer:
a=84.25cm
Step-by-step explanation:
What are the following factors of x² - 6x +8
1) 1, 8
2) 4,2
3) -4, -2
4) -1, -8
This question will help me get ready for high school.
Answer:
2) 4,2
Step-by-step explanation:
Factor by grouping:
[tex]x^2-6x+8\\\\x^2-4x-2x+8\\\\x(x-4)-2(x-4)\\\\(x-2)(x-4)[/tex]
Setting the expression equal to 0 and using the Zero Product Property, [tex]x=2[/tex] and [tex]x=4[/tex], which are the factors of the original polynomial.
Answer:
The factors are x-2 and x-4.
Step-by-step explanation:
x^2 - 6x + 8
= (x - 2)(x - 4)
A parallelogram has an area of 28 square inches. If the parallelogram is 4 inches long, what is its
width?
Answer:
7 inches
Step-by-step explanation:
The area of a parallelogram is Base x Height.
Area = 28 in^2 = (4 in)*(Height)
Height = 7 inches
another question plssss
Answer:
(a) ∠1 and ∠5
Step-by-step explanation:
Complementary angles are angles whose measures total 90°. The angles do not have to be adjacent.
__
In this geometry, we can see that angles 1 and 2 are complementary, as are angles 4 and 5, since their respective sums are right angles. Angles 2 and 5 are vertical angles, so have the same measure.
∠1 + ∠2 = 90° . . . . . . adjacent angles that total a right angle
∠1 +∠5 = 90° . . . . . substitute ∠5 for ∠2, since measures are equal
This means angles 1 and 5 are complementary.
John wants to purchase a new freezer chest to store food. The amount of space in the freezer chest is known as A. Volume B. Area C. Perimeter
Answer:
A. Volume
Step-by-step explanation:
Volume is how much space is in a substance so that means it is A
Answer:
Volume
Step-by-step explanation:
The amount of space that a substance or object occupies is called Volume.
The hypotenuse of a right triangle ensures 17cm and one of its legs measures 13cm
Answer:
sqrt (120)
Step-by-step explanation:
Use pythag theorem
Leg1 ^2 + Leg2^2 = Hypot ^2
13^2 + Leg2^2 = 17^2
Leg2^2 = 17^2 - 13^2
Leg2 = sqrt (120)
PLS HELP!!!!For each sequence determine whether appears to be a ARITHMETIC or GEOMATRIC or neither ( pictures attached)
Answer:
The first one is geometric. The second one is gemetric. The last one is arithmetic.
Step-by-step explanation:
Mark spent $35.50 at the mall. He bought one sweater and some socks. The sweater
cost $20.50 and each pair of socks cost $2.50 each. How many pairs of socks (s) did
Mark buy?
A son is one half as old as his father. The some other ages is 72 years. What is the age of each?
Answer:
The son is 24 and the father is 48
Step-by-step explanation:
If you let x = the age of the child, then the father is 2x old since the father is twice as old as the son. The sum of their ages would be 1x + 2x which simplifies to 3x.
Since the problem gives the total of their ages as 72, we know that 3x = 72.
Dividing both sides by 3, we get x = 24, which we said was the age of the child.
Since the age of the father is 2x, we can say that 2x = 2(24), or 2x = 48 for the age of the father.
The pressure on a scuba diver at sea level is 14.7 pounds per square inch (psi). The pressure increases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she?
Answer:
14.7÷41.4=0.355
the answer is 0.355
A tool set is on sale for $180 after a markdown of 40% off the regular price. Find the regular
price.
Answer:
$180 + $72 = $252
Step-by-step explanation:
$180 * 40%
$180 * 0.40 = $72
$180 + $72 = $252
100 POINTS What is the IQR for the data set?
{31, 76, 34, 35, 39, 49, 55}
Drag and drop the correct answer into the box.
IQR
set : {31, 76, 34, 35, 39, 49, 55}
arrange ascending to descending:
{ 31, 34, 35, 39, 49, 55, 76 }
given,
first quartile: 34third quartile: 55I.Q.R:
interquartile range : third quartile - first quartile 55 - 3421Answer:
21
Step-by-step explanation:
Place the numbers in order from smallest to largest:
31, 34, 35, 39, 49, 55, 76
The median (Q2) is the middle value = 39
Q1 is the middle value of the numbers smaller than the median = 34
Q3 is the middle value of the numbers larger than the median = 55
IQR = Q3 - Q1
= 55 - 34
= 21
Please help will mark the brainliest
Answer: 1 1/2 cup of water
Step-by-step explanation: 3 3/4 - 2 1/4 = 1/2 | 3 - 2 = 1 | 3/4 - 1/4 = 2/4 = 1/2
what is the mode of the data set 29,22,19,20,29,23,29,19,31
Answer:
Mean (Average): 21.44444
Median (Middle): 22
Mode (Most Common): 29
Step-by-step explanation:
Which coordinates represent point E?
• (3, 7)
(4,8)
o (7,3)
(8, 4)
5
4
3
o
2
1
ws
0
1 2
3
4
5
6
7
8
9
10
1
2
3
4
5 6
Giving 100pts
Answer:
(4,8)
Step-by-step explanation:
(x,y) on the X line it is at 4 and on the Y it is on 8 so that would be (4,8)
