Answer:
Range = highest value - lowest value
Explanation:
This is the required formula to find range from a distribution table.
Next year, air fares will rise by 3%.
Calculate the new price of a R 1 400 ticket.
9514 1404 393
Answer:
₹1442
Step-by-step explanation:
The new price will be 1+3% = 1.03 times the old price.
₹1400 × 1.03 = ₹1442
A 90 ° angle is divided into 2 angles. Find the size of the angles. 5x+10 and 6x-41 Not drawn to scale
Answer:
65 and 25
Step-by-step explanation:
90=(5x+10)+(6x-41)
121=11x
11=x
Going back to the angles:
5(11)+10
=55+10
=65 this is the first angle
6(11)-41
=66-41
25 this is the second angle
differentiate with product rule
Answer:
[tex]{ \boxed{ \bf{ \frac{dy}{dx} = v \frac{du}{dx} + u \frac{dv}{dx} }}}[/tex]
u = ( x + 1 )
v = ( 2x + 5 )²
[tex]{ \tt{ \frac{dy}{dx} = {(2x + 5) {}^{4} .(1) + (x + 1).(2)(2x + 5) {}^{3} } }} \\ = { \tt{ {(2x + 5)}^{3} ((2x + 5) +(2x + 2) }} \\ = { \tt{ \frac{dy}{dx} = {(2x + 5)}^{3}(4x + 7) }}[/tex]
Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than in March? Explain how you got your answer.
A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches. Find the height and the surface area of the prism
Answer:
Height = 12in
Surface area = 320in²
Step-by-step explanation:
Given
Length of the square base = 8in
Volume of the prism = 768 cubic inches
Using the formula;
Volume of the prism = Base area * Height of prism
768 = 8² * H
768 = 64H
H = 768/64
H = 12in
Hence the height of the prism is 12in
Get the surface area
Surface area = 2l² + 2lh
Surface area = 2(8)² + 2 (8)(12)
Surface area = 128 + 192
Surface area = 320in²
Hence the Surface area of the prism is 320in²
Help pls!
Suppose ten distinct, positive integers have a median of 10. ("Distinct integers" means that no two integers are the same.)
What is the smallest the average of those ten integers could be?
Explain your answer in complete sentences.
Answer:
8.4
Step-by-step explanation:
Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:
1, 2, 3, 4
However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:
9, 11
From there, we use the smallest integers (that are still above 11) possible:
12, 13, 14, 15
The average of these 10 integers is 84/10, or 8.4.
The median is still 10, because (9+11)/2 is 10.
Answer:
8 (or 8.4)
Step-by-step explanation:
First, the problem states the words: Distinct and positive.
That means that the smallest number we can use is 0.
We can make 10 blanks for 10 numbers for us to fill in.
_ _ _ _ _ _ _ _ _ _
Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.
In this case, our two numbers are the 5th and 6th blank.
Any two numbers can be used, as long as they are the same actual value from 10.
Let us first put in the numbers we can, which are the numbers before the two middle blanks.
0,1,2,3, _ _ _ _ _ _
To find the median between two numbers, we can do:
(a+b) divided by 2 = median
We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.
Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.
4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.
Now let's place the other numbers in for these two equations.
0,1,2,3,4,16,17,18,19,20
0,1,2,3,9,11,12,13,14,15
If we add the numbers of each together, we get:
0,1,2,3,4,16,17,18,19,20=100
0,1,2,3,9,11,12,13,14,15= 80
If we now divide each sum by 10 (to find the average) we get:
10
8
Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.
Since the smaller answer we got was 8, the answer must be 8.
(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process
To the nearest degree, find the measure of angle A?
Answer:
I would say 26 or 42 but i would o with 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
[tex]arccos\left(\frac{18}{20}\right)[/tex] = 25.8
if we put a marble in 10 ml of water how can we find its volume
please answer
i will mark brainliest
Answer: See below
Step-by-step explanation:
This relates to the usage of water displacement.
Have the 10 ml of water ready in a measuring flask (or any container that has a scale)Put the marble into the waterObserve how much did the water riseSubtract the current water level by the original 10 mlThe final answer would be the volume.------------------------------------------------------------------------
EXTRA (Only for advanced purposes, if you do not understand, it is totally fine)
Refer to the attachment below to finish the question.
Assuming the water levels are integer,
The original water level is 13.33 mlAfter the rock is put in, the water level is raised to 30 mlThen, we do the fourth step which is subtraction
30 - 13.33 = 16.66 mlHope this helps!! :)
Please let me know if you have any quesitons
Find the surface area of the solid given the net
what is the square root of 25
the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!
Which of the graphs represent y=-x^2
Answer:
Step-by-step explanation:
Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.
Corey and Courtney are 210 feet apart when they start walking toward one another. Courtney walks twice as fast as Corey so whenever Corey travels
x
feet, Courtney travels
2
x
feet. Let
x
represent the number of feet Corey has traveled since he started walking toward Courtney.
Write an expression in terms of x to represent the distance (in feet) between Corey and Courtney.
Answer:
210 - 3x
Step-by-step explanation:
Help please I need 6 and 8
can someone help with this, and explain it as well
Answer:
WRS and VRT are vertical angles
Step-by-step explanation:
Vertical angles are formed by the same lines and share a vertex
WRS and VRT are vertical angles
A simple random sample is drawn from a normally distributed population. The value of which of the following will not
known for certain but can be inferred?
o u
o-x
os
on
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
For 25) it's option C. -1/2
For 26) it's option D. 7π/6, 11π/6
Step-by-step explanation:
If you are finding sin−1 of a positive value, the answer will be between 0 and π/2. Using the unit circle, the angle with a sine of 1/2 in the first quadrant is π/6.
Answer:
-1/2
7π/6, 11π/6
Step-by-step explanation:
First problem:
31π/6 = 31/6 π = 5 1/6 π
A full circle is 2π radians. π radians = 180°
Start at 0 radians (positive x axis), and go 5 half circles counterclockwise.
You end up at π radians, or 180°, or the negative x axis.
Now go π/6 radians more counterclockwise.
You end up at 7π/6 or 210°.
Read the y-coordinate of the point on the unit circle.
Answer: -1/2
Second problem:
Look in the figure of the first problem.
The sine corresponds to the y-coordinate.
Look at the points on the circle, below the x-axis, that have a y-coordinate of -1/2.
They correspond to 7π/6 and 11π/6
4×((-1+2-3+4-5+6-7...+1000)
-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000
= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)
= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)
= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)
= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)
Let S = 1 + 2 + 3 + … + 500. Then this sum is equal to
= -(2S - 500) + 2S
= -2S + 500 + 2S
= 500
and multiplying by 4 gives 2000.
Answer:
[tex]4\times \left(\left(-1+2-3+4-5+6-7+1000\right)\right)[/tex]
[tex]calculate\: within \: the \:parentheses[/tex]
[tex]-1+2=1[/tex]
[tex]=1-3+4-5+6-7+1000[/tex]
[tex]1-3=-2[/tex]
[tex]=-2+4-5+6-7+1000[/tex]
[tex]-2+4=2[/tex]
[tex]=-3+6-7+1000[/tex]
[tex]3-7+1000[/tex]
[tex]=-4+1000[/tex]
[tex]=996[/tex]
[tex]Multiply:-[/tex]
[tex]4\times996[/tex]
[tex]=3984[/tex]
--------------------------
Hope it helps..
Have a great day!!
Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.
what is the solution to the system of equation below y=2/5x-3 and X=_10
Answer:
read explanation
Step-by-step explanation:
since y=2/5x-3 we substitute x=10 in making it y=2/5*10-3
following PAMDAS we do multiplication first so 2/5*10=4.
so y=4-3 and then we subtract and get y=1. Hope this helps:> if you need more explanation message me. If not give this a heart for helping. Good luck.
Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18
4x - 5y = -12
-x + 5y = 18
Add the equations together:
4x + -x = 3x
-5y + 5y = 0
-12 + 18 = 6
So now you have:
3x = 6
Divide both sides by 3:
X = 2
Now you have the value of x, replace x with 2 in one of the equations and solve for y:
4(2) -5y = -12
8 -5y = -12
Subtract 8 from both sides:
-5y = -20
Divide both sides by -5:
Y = 4
The solution is x = 2 and y = 4 which is written as (2,4)
yea...we most def ain't learn this in class
Answer:
F. 300,000
Step-by-step explanation:
logically, it is decreasing by 1.
First one gram equals 1000 grams, so a 39 kilogram equals 39000 grams. Then, 1000 pillows times 300 equals a 39 kilogram sofa. Is my answer correct?
Answer:
No
Step-by-step explanation:
Kilogram is the unit of weight. Kilogram is the measure of how much matter or the mass an object has in it. Kilogram is the bigger unit of measurement while gram and milligram are the smaller units to measure the weight of any object.
We know,
1 kilogram = 1000 gram x 1
So, 1000 gram is equal to 1 kilogram
That means, 39,000 gram is equal to 39 kilogram.
In the question it is asked whether 1000 pillows times 300 is equal to 39 kilogram sofa or not.
The answer is not correct, because we do not know the weight of the 1000 pillows.
And also, 1000 x 300 will give you 300,000 and not 39 kilogram or 39,000 grams.
please help me with this problem !
PLEASE HELP ASAP
Find the length of the arc.
Answer Options:
A. 9π/2 km
B. 9π/3 km
C. 539π/12 km
D. 18π km
Answer:
A. 9π/2km
Step-by-step explanation:
the length of the arc is
s= angle in radians* radius
the angle in radians
135 = 3π/4
therefore length of arc
s= (3π/4)*6 = 9π/2km
Mr. Atkinson manages playgrounds for the 8 elementary schools in the Franklin School District. This year, he wants to put new sandboxes at each of the schools. He estimates that he will need 3 tons of sand for this project. How many 50-pound bags of sand should he order for each school?
Answer: 5 bags of sand
Step-by-step explanation:
Given
There are 8 elementary schools
3 Tons of sand is needed
It is contained in a 50- Pound bag
1 ton is equivalent to 2000 Pound
No of 50- Pound bag required is
[tex]\Rightarrow n=\dfrac{2000}{50}\\\\\Rightarrow n=40[/tex]
These 40 bags will be required in 8 schools. So, each school requires
[tex]\Rightarrow \dfrac{40}{8}=5\ \text{bag}[/tex]
Answer:
The number of bags required for each school is 16.53
Step-by-step explanation:
Number of schools = 8
Total sand required = 3 tons
mass of each bag = 50 pounds
Sand required for each school = 3 ton/ 8 = 3000 / 8 kg = 375 kg
1 pound = 0.454 kg
1 kg = 2.205 pounds
So, 375 kg = 826.7 pounds
So, the number of bags required for each school = 826.7/50 = 16.53 bags
Subtract the second equation from the first.
Answer:
2y = 8
Step-by-step explanation:
4x+3y = 17
- ( 4x+y = 9)
----------------------
Distribute the minus sign
4x+3y = 17
- 4x -y =- 9
----------------------
0x +2y = 8
Answer:
2y = 8
Step-by-step explanation:
4x+3y=17
-4x-y=9
_______
0+2y=8
2y=8
Samantha found a great deal on sweatshirts at the mall and bought 5 sweatshirts at the
Super Duper sale price. Allison went the next day, but the sale was over, so she only bought
2 sweatshirts and paid $30 more per sweatshirt than Samantha. If the total cost of all 7
sweatshirts was $340, how much did one sweatshirt cost at the Super Duper sale price?
Answer:
$40
Step-by-step explanation:
You have two sweatshirts that cost $30 more the day after.
First, you do [tex]340 -(2*30)[/tex]
Second, you divide what you got above ($280), by 7 and voila, you have $40 per sweatshirt.
suppose the team wins ten of it's following remaining 18 games. What is it's winning percentage?
the graph of a linear function is given below
Answer:
A
Step-by-step explanation:
The zero of the function is where the y-value is zero.
then it's -5
please help with math properties I need 5 and 8 :)
Answer:
Step-by-step explanation:
Statements Reasons
1. m∠A = 6x - 10 1. Given
2. m∠B = 2x 2. Given
3. m∠C = 8x - 2 3. Given
4. m∠A + m∠B + m∠C = 180° 4. Triangle sum theorem
5. (6x - 10) + (2x) + (8x - 2) = 180° 5. Substitution
6. 16x - 12 = 180 6. Algebra
7. 6x = 192 7. Addition property of equality
8. x = 12 8. Division property of equality
