Hi
6% increase is multiply by 1,06
done 40 times
so : 250* 1,06^40 = 2571 ,
Find the mean of the following data set: 9, 12, 7, 13, 21, 10, 12, 4
Answer:
11
Step-by-step explanation:
9 + 12 + 7 + 13 + 21 + 10 + 12 + 4
21 + 20 + 31 + 16
41 + 47
88
88 / 8 = 11
2w+w^3-1/2w^2 for w=2
The required value is 8
How can we find value?
We will find the value by putting the value of w in the given function to get the required value.
We can find the value of given function foe w=2 as shown below:
Given, function is 2w+w^3-1/2w^2
Let A=2w+w^3-1/2w^2
for w=2
A=2(2)+(2)^3-1/2(2)^2
= 2+8-1/2(4)
=2+8-2
=8
Hence, the required value is 8.
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Mary walks from corner D to corner E to corner F on a city block that measures 264 feet wide and 900 feet long. Kate walks diagonally across the city block from corner D to corner F. How much less distance did Kate walk than Mary to get to corner F? Round your answer to the nearest whole foot. Enter only the number.
Step-by-step explanation:
we have a rectangle, that is then cut in half diagonally into 2 right-angled triangles.
in our problem it does not matter which side is the larger and which is the shorter one, because the distance calculation for both cases involve one short and one long side. the sequence does not matter.
Mary walks one short and one large side to get to the opposite corner (from D to F) :
264 + 900 = 1,164 ft
Kate walks diagonally. and that diagonal is the Hypotenuse of the right-angled triangle with a short and a long side of the rectangle.
so, Pythagoras applies :
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle), and a and b are the legs.
in our case that means
diagonal² = 264² + 900² = 69,696 + 810,000 =
= 879,696
diagonal = sqrt(879,696) = 937.9211054... ft ≈ 938 ft
so, Kate walked
1,164 - 938 = 226 ft
less than Mary.
HOW MANY DIFFERENT COMMITTEES CAN BE FORMED FROM 4 TEACHERS AND 20
STUDENTS IF THE COMMITTEE IS TO CONSIST OF TWO TEACHERS AND THREE
STUDENTS?
Answer:
6840
Step-by-step explanation:
multiply combinations
n!/(r!(n − r)!)
n choose r
n (objects) = |n
r (sample) = r
(4 teachers, CHOOSE 2)*(20 students, CHOOSE 3)
C(4,2) times C(20,3) =
C(n,r)=?
C(n,r) = C(4,2)
4! / (2!(4-2)!)
4! /2! x 2!
= 6
C(n,r)=?
C(n,r) = C(20,3)
20! / (3!(20-3)!)
20! / 3! x 17!
= 1140
6 * 1140 = 6840
alegbracom Edwin McCravy
A participant in a medical study walked 10,388 steps per day. If their
steps are 2.5 feet per step, how many kilometers would they walk in aweek if they took 10,388 steps per day? Round to the nearest kilometer.
Do not include units with your answer.
Answer:
55.4068881439
Step-by-step explanation:
Lets first find the feet they walk per day, multiply the steps by the feet/step:
[tex]10,388*2.5=25970[/tex]
Now lets find the feet/week by multiplying that value by 7:
[tex]25970*7=181790[/tex]
Now lets convert the feet to km:
[tex]181790/3281=55.4068881439[/tex]
Resulting in approximately 55 kilometers
How many significant figures are in this number? 2.583 x 10^12
Answer:
2583000000000
Step-by-step explanation:
[tex]2.583*10^{12} = 2583000000000[/tex]
Name a line that does not appear to intersect plane L.
Answer:
BE
Step-by-step explanation:
A line and a plane will not intersect if they are parallel. A line is named by naming any two points on it, in any order.
LineThe line containing points B, E, F appears to be parallel to plane L. As such, it will remain at the same distance from plane L throughout its infinite length. The line can be named by 2 points in any of 6 different ways.
Line BE is parallel to plane L.
__
Additional comment
Other names for the same line include ...
BF, EF, EB, FB, FE.
Solve the following proportion for v.
11/v = 5/13 Round your answer to the nearest tenth.
plssssssssssssss help
Answer:
b. 30 m²
Step-by-step explanation:
find the area of the rectangle and triangle first
area of rectangle = length x height
aR = 10 x 6
aR = 60
area of triangle = base x height x 1/2
aT = 10 x 3 x 1/2
aT = 30
now, to find the area of the shaded area subtract the triangle from the rectangle
area = rectangle - triangle
a = 60 - 30
a = 30
List the domain and range in interval notation for the following graphs listed?
The domain and range of the given graphs are as follows,
(b) Domain: x ∈ (-∞, ∞), Range: y ∈ (-∞, ∞)
(c) Domain: x ∈ [-2, ∞), Range: y ∈ [1, ∞)
Determining the Domain and Range from a Graph
The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The various output values are represented on the y-axis as the range.
Thus, in graph (b),
Since the values of the given curve extends infinitely (denoted by arrowhead of the curve) on positive as well as negative sides for both the axes, x and y, its domain and range both are (-∞, ∞).
Similarly, in graph (c),
The minimum value on x-axis or abscissa is -2 and maximum is infinity. Hence, its domain is [-2, ∞). The minimum ordinate value or y-coordinate is 1 and maximum is infinity. Thus, its range is [1, ∞).
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Express each of the following in metres.
(iii) 10,000cm
Answer:
100m
Step-by-step explanation:
How much are 10000 centimeters in meters?
10000 centimeters equal 100.0 meters (10000cm = 100.0m). Converting 10000 cm to m is easy. Simply use our calculator above, or apply the formula to change the length 10000 cm to m.
Answer:
100m
Because- 1m=100cm
10m=1000cm
100m=10,000cm
Whats the increace if you go from $90 to $108
Answer:
The increase is $18.
(In case you are asked about the percent increase,
percent increase = 20%)
Step-by-step explanation:
To find an increase, subtract.
$108 - $90 = $18
The increase is $18.
Answer: The increase is $18.
If you are asked about the percent increase, then use this formula:
percent change = (new number - old number)/(old number) × 100%
Here, the new number is $108. The old number is $90.
percent change = ($108 - $90)/($90) × 100%
percent change = $18/$90 × 100%
percent change = 0.2 × 100%
percent change = 20%
Since the percent change is a positive number, it is a percent increase.
Answer: percent increase = 20%
3 digit passcode using only digits 3 & 9
Answer:
339
Step-by-step explanation:
Find the cube root of Z =1+i the power of 5
Answer:
Cube Root Calculator
Use this calculator to find the cube root of positive or negative numbers. Given a number x, the cube root of x is a number a such that a3 = x. If x positive a will be positive, if x is negative a will be negative. Cube roots is a specialized form of our common radicals calculator.
It will help you alot.
Step-by-step explanation:
Janet plans to save $22.50 each week until she has enough to buy a $180 bicycle. After how many weeks will she have enough money for a bicycle.
Answer:
Step-by-step explanation:
8weeeks bc 22.50*8=180
Pls find x!!!!!!!!!!!!!!!!!!!!!
Answer:
120°
Step-by-step explanation:
The angle just below 'x' is 40° (alternate angles/parallel lines)
40 + x + 20 = 180 ( straight line)
x = 120°
Jake goes to the grocery store and buys 3 apples, 2 cans of soup, and 1 box of cereal. The apples cost $0.89 each; the soup costs $2.98 per can; and the box of cereal costs $4.99. Write an equation that represents the total cost c of Jake’s purchases.
The equation that represents the total cost, c, of the purchases made by Jake is: c = 3(0.89) + 2(2.98) + 4.99.
How to Write the Equation of Total Cost?To write the equation that represents the total cost of a given scenario like the one given, you can use variables to represent each component that makes up the total cost in the given situation.
Thus, let:
a = apple = 3a
s = can of soup = 2s
b = box of cereal = b
c = total cost
We know that unit price of each items are:
Apple = $0.89
Can of soup = $2.98
Box of cereal = $4.99
Equation would be:
c = 3a + 2s + b
Plug in the values
c = 3(0.89) + 2(2.98) + 4.99
Therefore, the equation that represents the total cost, c, of the purchases made by Jake is: c = 3(0.89) + 2(2.98) + 4.99.
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Ronaldo specializes in creating sewing patterns for dresses, and wants to set up his own website to sell electronic copies. He pays $120 for a domain name and web hosting services for the first year. Ronaldo makes $14.25 for each electronic pattern that he sells. How many patterns must he sell to cover the cost of the website for the first year? Round your answer to a whole number.
Answer:
8
Step-by-step explanation:
120/14.25=8.4 rounded off to a whole number is 8
Please help me l don’t understand
a. Let [tex]d[/tex] be the number of daytime calls Eshwa makes, and [tex]e[/tex] the number of evening calls. Then the cost [tex]C[/tex] (in pence) of making [tex]d+e[/tex] calls is
[tex]C = \boxed{50d + 40e}[/tex]
b. £1 = 100p, so the cost [tex]C'[/tex] (in £) is 1/100 of the cost found in part (a),
[tex]C' = \dfrac{50d + 40e}{100} = \boxed{\dfrac d2 + \dfrac{2e}5}[/tex]
c. If Eshwa makes 30 of each type of call in a month, then the total cost (in £) is
[tex]C' = \dfrac{30}2 + \dfrac{2\cdot30}5 = \boxed{27}[/tex]
c2. If Eshwa makes 20 daytime calls and 50 evening calls, then the total cost (in £) is
[tex]C' = \dfrac{20}2 + \dfrac{2\cdot50}5 = \boxed{30}[/tex]
d. Let [tex]e=40[/tex] and [tex]C'=42[/tex]. Solve for [tex]d[/tex].
[tex]42 = \dfrac d2 + \dfrac{2\cdot40}5[/tex]
[tex]42 = \dfrac d2 + 16[/tex]
[tex]\dfrac d2 = 26[/tex]
[tex]d = \boxed{52}[/tex]
A 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 110t calories during the t th hour. What is her net decrease in calories after walking for 5 hours?
The net decrease in calories after walking for 5 hours is 50 calorie.
According to the statement
we have given that the
A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.
And we have to find the net decrease in calories after walking for 5 hours.
So, For this purpose,
We know that the
calories burns in one hour = 200−20t
calories burns in 5 hours = 5(200−20t)
calories burns in 5 hours = 1000 - 100t
Now,
Calorie intake in t hours = 110t
And
net decrease in calories after walking for 5 hours = 100t - 1000 + 110t
put t is 5 then
net decrease in calories after walking for 5 hours = 210(5) - 1000
net decrease is 50 cal.
So, The net decrease in calories after walking for 5 hours is 50 calorie.
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In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be StartFraction pi Over 4 EndFraction times the volume of the pyramid that it fits inside. A cone is inside of a pyramid with a square base. The cone has a height of h and a radius r. The pyramid has a base edge length of 2 r. Which statement best describes where the StartFraction pi Over 4 EndFraction comes from in the formula derivation? It is the ratio of the area of the square to the area of the circle from a cross section. It is the ratio of the area of the circle to the area of the square from a cross section. It is the difference of the area of the square and the area of the circle from a cross section. It is the sum of the area of the square and the area of the circle from a cross section.
In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be D. the the sum of the area of the square and the area of the circle from a cross section.
How to illustrate the information?It should be noted that a volume simply means the amount of three dimensional space that's enclosed by a closed surface.
It is typically meaured on cubic units.
In this case, in the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be the the sum of the area of the square and the area of the circle from a cross section.
In conclusion, the correct option is D.
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Answer:
B. It is the ratio of the area of the circle to the area of the square from a cross section.
Step-by-step explanation:
if cos 0= -3/5 in quadrant ii, what is sin 0
The value of sin 0 in quadrant 2 is 4/5
How to determine the identityGiven that cos 0 = -3/5
We have;
adjacent = -3hypotenuse = 5Let's find the opposite side, using Pythagorean theorem
5^2 = x^2 + (-3)^2
25 = x^2 + 9
collect like terms
x^2 = 25 - 9
x^2 = 16
x = √ 16
x = 4
We have that
sin 0 = opposite/hypotenuse
sin 0 = 4/5
It is important to note that the trigonometric identity 'sine' is positive in quadrant 2
sin 0 = 4/5
Hence, the value of sin 0 in quadrant 2 is 4/5
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Can segments with lengths of 6, 7, and 9 form a triangle? Why or why not
Answer:
Yes
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side or largest side. So, 7+6 = 13 which is greater than 9
Answer:
Yes, triangle with sides 6, 7 ,9 can be formed.
Step-by-step explanation:
The sum of any two sides of the triangle should be greater than the third side. If so, triangle can be formed.
6 + 7 = 13 > 9
7+ 9 = 16 > 6
6 +9 = 15 > 7
7x-3y=-7 slope of line perpendicular
Answer: -3/7
Step-by-step explanation:
The first step is to find the slope of the line
y = mx + c where m is the slope of the line
Rearrange the equation and we get
3y = 7x + 7
y = 7x/3 + 7/3
So the slope of the line 7x - 3y = -7 is 7/3
There is another rule that states: The product of the slopes of two lines perpendicular to each other is -1
So, the slope of the line perpendicular to 7x - 3y = -7 is -1/(7/3) = -3/7
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
A circle is a shape formed by a curved side. Therefore, the required answers are:
1. An example of an inscribed angle is: <SQT or <QST or <QTS
2. An example of a minor arc is: arc QT or RS or QR
3. An example of a semicircle is: QRS or QTS
4. <QPR = [tex]\frac{264600}{44r}[/tex] degrees
An angle is said to be formed whenever two or more straight lines intersect or meet. But an inscribed angle is an angle formed within a given circle.
A circle is a shape formed by a curved side. Some of its parts are semicircle, radius, diameter, chord, sector, segment, etc.
Thus the following can be deduced from the given question:
1. An example of an inscribed angle is: <SQT or <QST or <QTS
2. An example of a minor arc is: arc QT or RS or QR
3. An example of a semicircle is: QRS or QTS
4. <QPR.
length of an arc = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r
where r is the radius of the circle
105 = [tex]\frac{x}{360}[/tex] x 2 x [tex]\frac{22}{7}[/tex] x r
= [tex]\frac{44xr}{2520}[/tex]
44 xr = 105 x 2520
44xr = 264600
x = [tex]\frac{264600}{44r}[/tex]
Therefore the measure of angle QPR in terms of r is [tex]\frac{264600}{44r}[/tex] degrees.
5. The length of arc QTR can be determined by;
Arc QTR = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r
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which of the following functions is graphed below
The function that is graphed is y = |x -2| + 3. The correct option is D. y = |x -2| + 3
Absolute value graphFrom the question, we are to determine the function for the given graph
From the graph,
When x = 2, y = 3
The equation that satisfy this condition is
y = |x -2| + 3
NOTE: This function satisfies all the points on the graph
Hence, the function that is graphed is y = |x -2| + 3
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i need help please!!
Answer:[tex]DB \cong VT[/tex]
Step-by-step explanation:
All 3 sides need to be congruent.
Identify the equation in slope-intercept form for the line containing the points (−4,1) and (2,3).
y=1/3x+7/3
y=1/4x+2
y=1/2x−4
y=1/3x−5/3
The slope-intercept form for the line is y = 1/3 x -5/3. and the option D is correct option.
According to the statement
we have given that the points (−4,1) and (2,3) and we have to find the slope-intercept form.
And we have to find the equation of line.
So, For this purpose,
The given points are:
(−4,1) and (2,3)
And the slope m become
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
So, put the values in it
then m= 3-1 / 2+4
m = 1/3
And and b point becomes (2+3) / (−4+1)
Then B = -5/3
Then the general equation of slope intercept form is y = mx +b
Then
y = 1/3 x -5/3.
So, The option D is correct and the slope-intercept form for the line is y = 1/3 x -5/3.
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lim
n->∞ 5n^2/7n³-4
[tex]\displaystyle \lim_{n\to \infty} ~~ \cfrac{5n^2}{7n^3-4}\qquad \implies \lim_{n\to \infty} ~~ \stackrel{\textit{using L'Hopital's rule}}{\cfrac{\frac{d}{dn}[5n^2]}{\frac{d}{dn}[7n^3-4]}}\implies \lim_{n\to \infty} ~~\cfrac{10n}{21n^2}\implies 0[/tex]
now, how do we get 0?
well, simple, hmmmm let me put a few values in
[tex]\cfrac{10(10)}{21(10)^2}\implies \cfrac{100}{2100}~~,~~ \cfrac{10(10000)}{21(10000)^2}\implies \cfrac{100000}{2100000000}~~,~~ ...[/tex]
in math lingo, on every iteration or change of the variable "n", the numerator is increasing but at a lower rate than the denominator, the denominator is increasing much more on every iteration, namely the denominator is moving faster and thus as "n" increases ever to infinity, the fraction becomes smaller and smaller and smaller, ever getting closer to 0.
Find two positive numbers whose difference is 9 and whose product is 2950.
Answer: 50 and 59
I divided 2950 by 25 because I knew it would somehow factor into that since it ends in 50. Then, I got 25 and 118. From there, I just divided 118 by 2 since I knew that it would end in a 9 and I multiplied 25 by 2. Not sure if this is really helpful, but you also try using a GCF calculator and look up all the factors of that number next time!