Answer:
Combine like terms:
10y2 + 5ab
Step-by-step explanation:
Is your simplified algebraic expression.
heeeeeeeeeelp meeeeeee
Answer:
81
Step-by-step explanation:
Find out the percentage of people who had mispriced item.
3/50 = 0.06
6% of people had mispriced items.
Find 6% of 1,350.
81
81 people would have mispriced items.
Answer:
81
Step-by-step explanation:
I did this by doing 1,350 ÷ 50, which gave me 27. I then did 27 times 3, the average amount of people with a mispriced item per 50 people, which gave me 81 as a result. And with that, I can conclude that you would expect there to be 81 people per day who have a mispriced item.
an object hangs from a string in a stable position and is represented by the function y=4sin(3x)+4, with time in x seconds. what is the maximum height of the object, and when does it occur on the interval 0
Answer:
Here we have the position of an object represented by the equation:
y = 4*sin(3*x) + 4
Where we can assume that y represents the height of the object.
We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5
First let's find the maximum height.
y = 4*sin(3*x) + 4
Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:
sin(x) = 1
when x = 90° = pi/2 = 3.14/2
Replacing that in the equation, we get:
y = 4*1 + 4 = 8
The maximum height of the object is 8.
Now, we know that the maximum of the sin(x) function is when x = pi/2
But in our case, we have the function sin(3*x)
Then this function is maximized when:
3*x = pi/2
x = pi/(2*3) = pi/6 = 3.14/6
And:
0 < 3.14/6 < 5
Then the first maximum occurs at x = 3.14/6 = 0.52
But it can happen again on the interval.
The next maximum of the sin(x) function is when:
x = pi/2 + 2*pi
In our case, we again have sin(3*x), then we need to solve:
3*x = pi/2 + 2*pi
x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62
This is also in the interval 0 < x < 5
The next maximum of sin(x) happens at:
x = pi/2 + 2*pi + 2*pi
In our case, for sin(3*x) we need to have:
3*x = (pi/2 + 2*pi + 2*pi)
x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71
This again is in the interval 0 < x < 5
(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)
Then the maximum height occurs at:
x = 0.52
Then occurs again at:
x = 2.62
And finally occurs again at:
x = 4.71
the coordinates of the vertices of parallelogram QRST are given. What would be the coordinates of the vertices after a dilation with a scale factor of 1/3 centered at the origin Q (-6,9) R (6,9) S (0,-9) T (-12,-9)
Answer -2,3. 2,3 3,-3 -4 -3
Step-by-step explanation:
Answer:
Q (-2, 3)
R (2, 3)
S (3, -3)
T (-4, -3)
Step-by-step explanation:
Good luck kiddos :)
Use the distributive property to simplify 5( x + 3).
(A). 8 x
(B). 5 x + 3
(C). 5 x + 8
(D). 5 x + 15
Answer:
D) 5x+15
Step-by-step explanation:
5×x+5×3
5x+15
plz mark as brainliest
Dale has $1,000 to invest. He has a goal to have $2,400 in this investment in 12 years. At what annual rate compounded continuously will Dale reach his goal?
Answer:
7.29%
Step-by-step explanation:
Given data
Principal= $1,000
Final amount= $2,400
TIme= 12 years
The expression for the compound interest is given as
A= P(1+r)^t
Make r subject of fomula
r = ln(A/P) / t
r= ln(2400/1000)/12
r= ln(2.4)/12
r= 0.875/12
r= 0.0729
Hence the rate is 7.29%
(-3/4)x + 25 = (1/8)x - 3
Find x and show your work
No links please!
Step one =
-3/4x + 25 -1/8x = 1/8x = 1/8x -3 - 1/8x
-7/8x + 25 = -3
Step two =
-7/8x + 25 - 25 = -3 - 25
-7/8x = -28
Step three =
(8/-7) * (-7/8x) = (8/-7) * (-28)
Answer
X = 32
Let U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} A = {5, 10, 15, 20, 25} B = {25, 30, 35, 40, 45} C = {10, 20, 30, 40, 50} Find A∪B
Answer:
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
Step-by-step explanation:
A = {5, 10, 15, 20, 25}
B = {25, 30, 35, 40, 45}
Find A∪B
There are 5 elements in set A
There are 5 elements in set B
A∪B is the combination of all the elements in set A and set B without repeating any
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
A∪B has 9 elements in it
A ⋂ B = {25}
Anjali spent half her weekly allowance at the movies. To earn more money her parents let her clean the gutters for $5. What is her weekly allowance of she ended with $12? (do NOT use $ in your answer. Numbers only)
Answer:
14 dollars
Step-by-step explanation:
Anjali had 12 dollars after recieving the 5. So in order to find out how much she had before cleaning the gutters, we substract those 5 dollars from the 12. That leaves us with 7 dollars. This is the amount of money she had after spending half at the movies, and before cleaning the gutters. Which mean's it's half of her allowance. 7 x 2 is 14, which is your answer! :)
I need help with area of a rectangle! Plese help me out this is a starr review!
Answer:
B
Step-by-step explanation:
if t and m are positive integers and 2t+3m=8 what is the value of t
Answer: look at the picture
Step-by-step explanation: Hope this help :D
The value of m and t is 4- 3m/2 and 8/3 -2t/3.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
Given:
2t+3m=8
For t:
2t= 8-3m
t= (8-3m)/2
t= 8/2 -3m/2
t= 4- 3m/2
For m:
3m= 8-2t
m= (8-2t)/3
m= 8/3 -2t/3
Learn more about Equation here:
https://brainly.com/question/10413253
#SPJ2
What is the measure, in degrees, of ZA?
Answer:
28
Step-by-step explanation:
2x + 3x + 40 =180
5x= 180 - 140
5x=140
x= 28
Answer:
Step-by-step explanation:
We know that the sum of interior angles of a triangle is 180° so we can say:
40 + 2x + 3x = 180°
40 + 5x = 180°
5x = 140°
x = 28°
Now substitute in 28 for the value of x in Angle A:
=> 2x would become 2(28)
=> 56° = ∠A
Hope this helps!
1. Combine the like like terms
14 + 8x + 2y -5x - 2
Answer:
12 + 3x + 2y
Step-by-step explanation:
14 + 8x + 2y -5x - 2
14 + -2 + 8x -5x + 2y
12 + 3x + 2y
Answer:
3x + 2y + 12
Step-by-step explanation:
In the photo.
Please help me on this :/
Answer:
4. obtuse
5. right
6. obtuse
6. acute
Step-by-step explanation:
4. not a triangle, 2+4 = 6
5. 100 + 576 = 26^2 -> right
6. 8, 16 < 36 -> obtuse
7. 43.6 > 42.25 -> acute
find the value of x. round your answer to the nearest tenth.
Answer:
x = 56.7
Step-by-step explanation:
cos theta = adjacent/hypotenuse
cos x = 17/31
x = arccos(17/31)
x = 56.7
Kendrick is planting a circular flower garden with a low fence around the border. He has 38 feet of fence. What is the radius of the largest garden he can make?
Answer: [tex]6.04\ ft[/tex]
Step-by-step explanation:
Given
The fence has a length of 38 ft i.e. it is the circumference of the circular flower
The circumference of the circle is [tex]2\pi r[/tex]
Insert the values
[tex]\Rightarrow 2\pir=38\\\\\Rightarrow 2\times \dfrac{22}{7}\times r=38\\\\\Rightarrow r=\dfrac{38\times 7}{2\times 22}\\\\\Rightarrow r=\dfrac{266}{44}\\\\\Rightarrow r=6.04\ ft[/tex]
The largest radius of the garden is [tex]6.04\ ft[/tex]
Need help with this, finding the length of the third side
Answer:
its sqrt (50)
Step-by-step explanation:
The triangle has a right angle, therefore we can use the Pythagorean theorem to find the hypotenuse. According to the theorem the sum of the squares of both other sides is equal to the square of the hypotenuse.
We have 5^2+5^2=c^2
=> 25+25=c^2
=> 50=c^2
Therefore c or the missing side is equal to sqrt(50)
Suppose you leave your house and travel 13 mi due west. Then you travel 3 mi due south. How far, in miles, are you from your house as the crow flies (a straight line)? Round your answer to the nearest tenth if necessary.
Answer: [tex]13.34\ \text{miles}[/tex]
Step-by-step explanation:
Given
First the person travels 13 mi west and then 3 mi due to south
The distance traveled by crow is represented by line BO
using Pythagoras theorem, we can write
[tex]\Rightarrow AO^2+AB^2=BO^2\\\Rightarrow BO^2=13^2+3^2\\\Rightarrow BO^2=178\\\Rightarrow BO=\sqrt{178}\\\Rightarrow BO=13.34\ \text{miles}[/tex]
You just got an order of 8 apples and you need to break them up accordingly:
25% of the apples should be baked into a pie
25% of the apples should be baked into a tart
37.5% of the apples will be used for juice
you may eat the remaining apples. of?
Answer:
⟟ got 12.5 remaining
Step-by-step explanation:
Just add all the percentages then subtract from 100
Which of the following sets of angle measurements determines a triangle? Select all that apply.
60, 80
90, 110
70, 90
100, 80
50, 70
what was the total number of gallons of paint sold?
Answer:
1,600
Step-by-step explanation:
Divide 240 by 3. This is 80, or 5% of the total.
Multiply 80 by 20, to get 1,600, 100% of the total
Choose the right one.
Answer:
Skewed Right
Step-by-step explanation:
Took the test
Answer:
C
Step-by-step explanation:
Please find the perimeter of this irregular shape. NO LINKS!
Answer:
36
Step-by-step explanation:
Starting at the uppper left and counting the blocks
3 + 2 + 3 + 2 + 4 + 6 + 4 + 2 + 6 + 4 = 36
How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
A block has a length of one-third, height of 1, and width of 1.
2
3
6
9
Given:
Dimensions of a block are [tex]\dfrac{1}{3}\times 1\times 1[/tex].
To find:
The number of block that can be fit in a unit cube.
Solution:
Volume of a cuboid is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth or width and h is the height of the cuboid.
So, the volume of the given block is:
[tex]V_1=\dfrac{1}{3}\times 1\times 1[/tex]
[tex]V_1=\dfrac{1}{3}[/tex]
Dimensions of a unit cube are [tex]1\times 1\times 1[/tex]. So, the volume of the unit cube is:
[tex]V_2=1\times 1\times 1[/tex]
[tex]V_2=1[/tex]
We need to divide the volume of unit cube by the volume of a block to find the number of block that can be fit in a unit cube.
So, the number of blocks that fit in a unit cube is:
[tex]n=\dfrac{V_2}{V_1}[/tex]
[tex]n=\dfrac{1}{\dfrac{1}{3}}[/tex]
[tex]n=3[/tex]
Therefore, the correct option is B.
Answer:
the answer would be "b" 3 because its in 1/3 and the block is 1/3
What is an equation of the line that passes through the points (-4,-3) and (3,-3)
Answer:
y=-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-(-3))/(3-(-4))
m=(-3+3)/(3+4)
m=0/7
m=0
y-y1=m(x-x1)
y-(-3)=0(x-(-4))
y+3=0(x+4)
y+3=0
y=0-3
y=-3
Find the difference of (6x2 + 3x – 5) and (4x² – 2x + 3).
Answer:
2x^2 + 5x - 8
Step-by-step explanation:
6x^2 + 3x - 5
- (4x^2 - 2x + 3)
--------------------------
2x^2 + 5x - 8
3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the
Answer:
Initial volume:
10*10*53 = 5300 cm³Increased volume:
10*10*54.6 = 5460 cm³Volume of the medallion:
5460 - 5300 = 160 cm³Density = mass / volume
Density is:
3.088/160 = 19.3 g / cm³multiple choice for final pls help me
Answer:
I hope this helps!
Step-by-step explanation:
ACB
plss help help help can someone plss help me
~plss respect my question~
I really need this right now so please
Answer:
1) The stars are not constant in their position.
2) No. The stars aren't in original position because of apparent movement of stars in the sky.
3) Due to rotation of earth on its axis , the stars appear to move from west to east in the sky. Actually stars don't move as they are constant in their position but they appear to move with respect to earth.
4) Both the motion of stars & motion of sun are similar because both are an example of apparent motion. Both appear to change their respective positions but in reality , sun & stars are constant in their positions. But as earth is rotating , it appears like sun & stars are changing their positions.
A Rectangle has diagonals of length 13 cm and width is 5 cm. Find the length of its side?
Answer:
Length = 12 cm
Step-by-step explanation:
using the Pythagorean theorem:
Length² = 13² - 5² = 169 - 25 = 144
Length = √144 m= 12 cm
Answer:
It's 34 cm
Step-by-step explanation:
Width of a rectangle = 5 cm
Diagonal of a rectangle = 13 cm
By Pythagoras Theorem,
Length of a rectangle = √(13² - 5²)
Or, Length of a rectangle = √(169 - 25)
Or, Length of a rectangle = √144
Or, Length of a rectangle = 12 cm
Perimeter of a rectangle = 2(12+5)
Or, Perimeter of a rectangle = 2×17
Or, Perimeter of a rectangle = 34 cm
Therefore, the perimeter of a rectangle = 34 cm
If £2000 was put into a bank acount that pays 3% compound intrest per year, how much will be in the account after 2 years
Answer:
After 2 years, there will be £ 2,121.80 in the account.
Step-by-step explanation:
Since £ 2000 was put into a bank account that pays 3% compound intrest per year, to determine how much will be in the account after 2 years the following calculation must be performed:
2000 x (1 + 0.03 / 1) ^ 1x2 = X
2000 x 1.03 ^ 2 = X
2,121.8 = X
Therefore, after 2 years, there will be £ 2,121.80 in the account.