500 centimeters
5000 millimeters
.005 kilometers
To divide a figure (such as an angle or line segment) in half is to __it
Answer: bisect
Step-by-step explanation:
A segment that is bisected is divided into 2 congruent (equal) lengths from the midpoint.
An angle that is bisected is divided into 2 congruent (equal) angles.
Determine the volume of a sphere with a great circle of radius 12 cm.
Answer:
7238 cm³
Step-by-step explanation:
The radius of the great circle is the radius of the sphere.
The formula for the volume of a sphere is
V = ⁴/₃πr³
V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³
Volume is a three-dimensional scalar quantity. The volume of a sphere with a great circle of radius 12 cm is 7238.2295 cm³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface. It is a three-dimensional scalar quantity.
The volume of the sphere with a radius of 12 cm is,
The volume of the sphere = 4/3 πr³
= (4/3) × π × (12)³
= 7238.2295 cm³
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Alfred and his 4 friends bought 13 1/4 pounds of gummy bears at $1.20 a pound. If the cost of the gummy bears is divided evenly among Alfred and his four friends, how much will each person pay?
Total cost
13 1/4 × $1.20
=53/4 × $1.20
=$15.90
Alfred + 4 friends = 5 person
So, each person must pay
$15.90÷5
=$3.18
Answer
$3.18
Using arithmetic simplification, the amount paid by each person since the cost is shared evenly is $3.18
The total cost of gummy bear :
13.25 pounds × $1.20 = $15.90Number of people involved = Alfred + 4 friends = 5
Since the cost is shared evenly ; the amount paid per person can be calculated thus :
Total cost ÷ 5Cost per person = $15.90 ÷ 5 = $3.18
Therefore, each person will pay a sum of $3.18
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someone help me out here asap the formula is v=lwh?
Answer:
V=8xxxyyy=8x³y³
Step-by-step explanation:
In the question, V=lwh, the value for l is given to us as 2xy. Because it is a cube, all of the length of the edges are the same, so l=w=h, which means w=2xy and h=2xy.
Plug in w=2xy h=2xy l=2xy into the equation V=lwh.
V=2xy·2xy·2xy
V=(2·2·2)(x·x·x)(y·y·y)
V=8xxxyyy=8x³y³
Whats the probability
You roll a number cube. You roll a number that is greater than 2 and less then 5
Answer: 2/6.
Step-by-step explanation:
This might be wrong but because there are only 6 sides on a number cube, and only two numbers between this probablity this is the most likely correct answer. I apologize if this is wrong.
7x-3/8=6x-5/8 what is x
7x - 3/8 = 6x -5/8
Subtract 6x from each side:
x - 3/8 = -5/8
Add 3/8 to each side:
x = -5/8 + 3/8
x = -2/8
x = -1/4
The terms of a sequence increase by a constant amount. If the first term is 7 and the fourth term is 16: list the first six terms of the sequence
Answer:
Step-by-step explanation:
s = sequence
[tex]s_{1}[/tex] = first term of sequence
[tex]s_{1}[/tex] = 7
[tex]s_{4}[/tex] = 16
Find the difference between the term number and the values.
Terms:
4 - 1 = 3
Values:
16 - 7 = 9
For every 3 terms, you add 9.
Divide, to find the amount you add for 1 terms.
3 / 3 = 1
9 / 3 = 3
For every 1 terms, you add 3.
Answer:[tex]s_{1}[/tex]= 7
[tex]s_{2}[/tex]= 10
[tex]s_{3}[/tex]= 13
[tex]s_{4}[/tex]= 16
[tex]s_{5}[/tex]= 19
[tex]s_{6}[/tex]= 22
Given a mean of 100, and a standard deviation of 5.3, what is the Z-score for 130?
Answer:
5.66038
Step-by-step explanation:
Given
Mean= μ=100
SD= σ=5.3
Z-score of 130= ?
The z-score of any value tells us that how many standard deviations that value is from the average or mean.
The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.
z-score= (x- μ)/σ
z-score of 130= (130-100)/5.3
=30/5.3
=5.66038
If 12x-8=24 what is the value of x
➷ 12x - 8 = 24
Add 8 to both sides:
12x = 32
Divide both sides by 12 to isolate x:
x = 8/3
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Answer: x= 8/3
Step-by-step explanation:
first thing u do is add 8 to the 24 because the operation in front is - , that equals 32
since 12 is multiplied by x you divide 12 by 32 to get x by itself and that equals 8/3
Hope this helps mark me brainliest
please help me answer this question.
Answer:
π/64
Step-by-step explanation:
assuming that c= circumference, and the circumference being 2πr(radius), then r=1/8 because 2π/8=π/4. to find the area, we use the formula πr^2, or π*1/8^2, or π/64
Analyze the diagram below and complete the instructions that follow. Find the surface area of the rectangular prism. Round your answer to the nearest hundredth. A. 157.89 cm^2 B. 306.95 cm^2 C. 346.16 cm^2 D. 347.45 cm^2
Answer: OPTION D
Step-by-step explanation:
To solve this problem you must apply the formula for calculate the surface area of the rectangular prism:
[tex]SA=2(wh+lw+lh)[/tex]
Where w is the width, h is the heigh and l is the lenght.
Based on the rectangular prism shown, you have that:
[tex]w=9.08cm\\h=3.23cm\\l=11.73cm[/tex]
Finally when you substitute values into the formula you obtain the following result:
[tex]SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2[/tex]
Answer:
D
Step-by-step explanation:
The surface area is the area of all the surfaces, together.
A rectangular prism has 6 rectangular surfaces. We need to add those 6 faces and sum it.
There are 2 faces with length 3.23 and width 9.08. So,Area = 2 ( 3.23 * 9.08 ) = 58.6568
There are 2 faces with length 11.73 and width 3.23. So,Area = 2 ( 3.23 * 11.73 ) = 75.7758
There are 2 faces with length 11.73 and width 9.08. So,Area = 2 ( 11.73 * 9.08 ) = 213.0168
Summing all of them up,
Surface area of Rectangular Prism = 58.6568 + 75.7758 + 213.0168
=347.4494
* Rounding to nearest hundredth, 347.45 cm ^2
Ms. Franklin earns $ 15 an hour. For this year, she will be paid for 40 hours each week for 52 weeks. How much should Ms. Franklin expect to earn this year?
Answer:
About $31,200
Step-by-step explanation:
289.1 is 70% of what amount
70% × 413 =
(70 ÷ 100) × 413 =
(70 × 413) ÷ 100 =
28,910 ÷ 100 =
289.1
Proof
289.1 ÷ 413 =
0.7 =
0.7 × 100/100 =
0.7 × 100% =
(0.7 × 100)% =
70%
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Which method is the most effective method to use to solve x^2+4x+3=0
Answer:
Completing the square.
Step-by-step explanation:
since there is no "a" term and the bx term is even, completing the square is your best bet.
For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.
These numbers are:
3 and 1.[tex]3 + 1 = 4\\\\3 * 1 = 3[/tex]
So, we have to:
[tex]x ^2 + 4x + 3 =\\(x + 3) (x+1)[/tex]
Answer:
[tex](x + 3) (x + 1)[/tex]
zoom in closely, pls help me
Answer: a = 11.1
Step-by-step explanation:
a(0.3 - y) + 1.1 + 2.4x = 0
Let y = 1.3 → a(0.3 - 1.3) + 1.1 + 2.4x = 0 → -a + 1.1 + 2.4x = 0 → a = 1.1 + 2.4x
(y - 1.2) = -1.2(x - 0.5)
Let y = 1.3 → (1.3 - 1.2) = -1.2(x - 0.5) → 0.1 = -1.2x + 0.6 → -0.5 = -1.2x → [tex]\dfrac{50}{12}=x\ \rightarrow\ \dfrac{25}{6}=x[/tex]
a = 1.1 + 2.4x
[tex]=1.1+2.4\bigg(\dfrac{25}{6}\bigg)[/tex]
= 1.1 + 0.4(25)
= 1.1 + 10
= 11.1
Answer: I agree with 11.1
Step-by-step explanation:
The number of eggs in the refrigerator e decreased by 5 equals 18
Answer:
e=23
Step-by-step explanation:
The equation representing this scenario is e-5=18.
Add 5 to both sides and you get e=23 (eggs)
Answer:
e=23
Step-by-step explanation:
A car drove for 50 seconds in that time it traveled 100 meters. What’s the speed of the car?
Answer:
2m/s
2 meters per second
Step-by-step explanation:
Formula for speed is distance (meters) over time (seconds) after you divide you get 2. Please give me the brainliest answer?
:) Hoped this helped!!! Have a good day!!! <3
Answer:
2 Meters per second
Step-by-step explanation:
Find the exponential function that passes through the points (1, 3) and (2, 9). A) y = 12x B) y = 9x C) y = 6x D) y = 3x
Answer:
D
Step-by-step explanation:
An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.
3^1 = 3
3^2 = 9
This means that the function is y = 3^x.
*15 points
A squirrel jumps straight up with an initial vertical velocity of 16 feet per second. How many times does the squirrel reach a height of 4 feet? Explain your answer.
Final answer:
The squirrel reaches a height of 4 feet twice during its trajectory: once on the way up and once on the way down due to symmetrical motion.
Explanation:
The squirrel will reach a height of 4 feet twice during its trajectory. To understand why, let's analyze the motion. The squirrel's vertical motion can be described by the equation [tex]\( h(t) = h_0 + v_0t - \frac{1}{2}gt^2 \),[/tex] where [tex]\( h(t) \)[/tex] is the height at time[tex]\( t \), \( h_0 \) is the initial height, \( v_0 \) is the initial velocity, and \( g \) is the acceleration due[/tex] to gravity.
Given that[tex]\( h_0 = 0 \), \( v_0 = 16 \) ft/s, and \( g = 32 \) ft/s^2,[/tex] we can plug in these values to find the times at which the squirrel reaches a height of 4 feet. Solving the equation[tex]\( h(t) = 4 \) for \( t \),[/tex] we get two solutions:[tex]\( t = 1 \) second and \( t = 3 \)[/tex] seconds. This means the squirrel reaches a height of 4 feet once on its way up and once on its way down. So, the squirrel reaches a height of 4 feet twice.
Solve the following equation by identifying all of its roots including any imaginary numbers and multiple roots.
(x2 - 1)(x2 + 2)(x + 3)(x - 4)(x + 1) = 0
Answer: x = {-1, 1, -i√2, i√2, -3, 4}
Step-by-step explanation:
(x² - 1)(x² + 2)(x + 3)(x - 4)(x+1)=0
Set each factor equal to zero and solve.
x² - 1 = 0 → x² = 1 → x = ±1
x² + 2 = 0 → x² = -2 → x = ± i√2
x + 3 = 0 → x = -3
x - 4 = 0 → x = 4
x + 1 = 0 → x = -1 (note that -1 is a duplicate - solved from the first factor)
Answer:
Answer: x = {-1, 1, -i√2, i√2, -3, 4}
Step-by-step explanation:
PLEASE HELP! I'll mark first comment as brainliest!
The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.
a = 18, b = 26, c = ?
A. C=31.78
B. C=31.16
C. C=31.62
D. C=31.46
HELP ASAP!!!! showing work is optional :)
Answer:
The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.
a = 18, b = 26, c = ?
A. C=31.78
B. C=31.16
C. C=31.62
D. C=31.46
Step-by-step explanation:
[tex]\sqrt{18^{2}+26^{2} }[/tex]
Lines a and b are perpendicular. The slope of line a is −2. What is the slope of line b?
Answer:
1/2
Step-by-step explanation:
if the one line's slope is m = –2, then the perpendicular line's slope will be m= 1/2 (the slope of a perpendicular line is the reciprocal of the slope of the first line)
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
I will call [tex]m_{a}[/tex] the slope of line [tex]a[/tex], and [tex]m_{b}[/tex] the slope of line [tex]b[/tex].
For two lines to be perpendicular, the following must be satisfied:
[tex]m_{a}*m_{b}=-1[/tex]
in this case we know:
[tex]m_{a}=-2[/tex]
so:
[tex](-2)*m_{b}=-1[/tex]
And clearing for the slope of line [tex]b[/tex]:
[tex]m_{b}=\frac{-1}{-2} \\m_{b}=\frac{1}{2}[/tex]
The slope of the line [tex]b[/tex] which is perpendicular to line [tex]a[/tex] is [tex]\frac{1}{2}[/tex]
convert 8.25% to a decimal
8.25 divided by 100=0.0825
(4,?) is on the line below. Find the other half of the coordinate. y=3/4x+3. Solve
Answer:
y = 6
Step-by-step explanation:
Given
y = [tex]\frac{3}{4}[/tex] x + 3 and (4, ? )
Substitute the x- coordinate x = 4 into the equation for corresponding value of the y- coordinate.
x = 4 : y = [tex]\frac{3}{4}[/tex] × 4 + 3 = 3 + 3 = 6
Hence the coordinate point is (4, 6)
write the equation of the line that is parallelto the graph of y=2/3x+7 and passes through the point (-1 -2)
Answer:
y+2 = 2/3(x+1)
y= 2/3x - 4/3
Step-by-step explanation:
If we want a line parallel to y=2/3x+7, it will have the same slope
m = 2/3
We have a point (-1,-2), so we can use point slope form
y-y1 = m(x-x1)
y--2 = 2/3(x--1)
y+2 = 2/3(x+1)
If we want the line in slope intercept form, distribute the slope
y+2 = 2/3 x +2/3
Subtract 2 from each side
y+2-2=2/3x +2/3-2
y = 2/3x +2/3 - 6/3
y= 2/3x - 4/3
Sequence of 2,4,7,17,33 what is the next term after 33
Answer:67
Step-by-step explanation:
the perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)
Answer:
2x+3y
Step-by-step explanation:
first you group up the sides and subtract from the perimeter to get the last side. then combine all the sides to see if your answer is correct.
What is the answer to this?
Answer:
Opt. D. AB=WX
Step-by-step explanation:
If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.
Miwa borrows $1250 for 1 year. At the end of the year, she pays $112.50 in interest. Find the rate of interest she was charged.
Answer: 10%
Step-by-step explanation: The formula to calculate simple interest is Interest = Principal x Rate x Time
With the number in the formula, 112.50 = 1,250 x r x 1
Simplify:
112.50 = 1,250r
Divide both sides by 1,250:
.1 = r
Therefore, the rate is 10%
A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides. The exterior surface area of the trough is ________. The volume of the trough is _____. If a trough is emptied until the water level is even with the midsegment of the trapezoidal ends there will be ______ cubic feet of water left in the trough.
Answer:
Part a) The exterior surface area is equal to [tex]160\ ft^{2}[/tex]
Part b) The volume is equal to [tex]240\ ft^{3}[/tex]
Part c) The volume water left in the trough will be [tex]84\ ft^{3}[/tex]
Step-by-step explanation:
Part a) we know that
The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles
so
Find the area of two rectangles
[tex]A=2[12*5]=120\ ft^{2}[/tex]
Find the area of two trapezoids
[tex]A=2[\frac{1}{2}(8+2)h][/tex]
Applying Pythagoras theorem calculate the height h
[tex]h^{2}=5^{2}-3^{2}\\h^{2}=16\\h=4\ ft[/tex]
substitute the value of h to find the area
[tex]A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}[/tex]
The exterior surface area is equal to
[tex]120\ ft^{2}+40\ ft^{2}=160\ ft^{2}[/tex]
Part b) Find the volume
we know that
The volume is equal to
[tex]V=BL[/tex]
where
B is the area of the trapezoidal face
L is the length of the trough
we have
[tex]B=20\ ft^{2}\\ L=12\ ft[/tex]
substitute
[tex]V=20(12)=240\ ft^{3}[/tex]
Part c)
step 1
Calculate the area of the trapezoid for h=2 ft (the half)
the length of the midsegment of the trapezoid is (8+2)/2=5 ft
[tex]A=\frac{1}{2}(5+2)(2)=7\ ft^{2}[/tex]
step 2
Find the volume
The volume is equal to
[tex]V=BL[/tex]
where
B is the area of the trapezoidal face
L is the length of the trough
we have
[tex]B=7\ ft^{2}\\ L=12\ ft[/tex]
substitute
[tex]V=7(12)=84\ ft^{3}[/tex]