Answer:
50 - (14 + 12 +2(5) + 2(2) + 3)
solve the brackets first
50 - (14 + 12 + 10 + 4 + 3)
50 - (14 + 12 +2(5) + 2(2) + 3)
50- 43
7
Prove that sin^4x + cos^4x= sinxcosx
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
[tex]sin^4(x) + cos^4(x)[/tex]
We can rewrite this as:
[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]
Now we can add and subtract cos^2(x)*sin^2(x) to get:
[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]
We can complete squares to get:
[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]
and we know that:
cos^2(x) + sin^2(x) = 1
then:
[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
[tex]1 - \frac{sin^2(2*x)}{2}[/tex]
Then the simplification is:
[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]
a trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft3 in volume and weighs 80 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 100 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 6800 lb. Moreover, he is not permitted to carry more crates of grapefruit than crates of oranges. If his profit is $2.50 on each crate of oranges and $4 on each crate of grapefruit, how many crates of each fruit should he carry for maximum profit
answer = 560 profited
abus
Find the slope of the line shown in the graph below.
5
nts
4
2
1
-6-5-4
2
3
4
5
6
2
It takes ⅙ of a yard of ribbon to make one bow. How many bows can be made with 4 yards of ribbon?
Answer:
24 bows can be made with 4 yards of ribbon
Greg buys 21 bags of nails. Each bag has 85 nails in it. Greg rounds both numbers to the nearest ten to find an estimate of the total number of nails. What is the difference between Greg's estimate of the total number of nails and the actual total number of nails?
Answer:
1800
Step-by-step explanation:
21 rounds to 20
85 rounds to 90
20*90=1800
21*85=1785
1800-1785=15 nail difference
-2 (x + 3) i need help... do your thing
Answer: -3
-2x-6=0
-2x=6
x=-3
Step-by-step explanation:
teacher was comparing two sets of quis scores shown below.
Quiz Scores
Quiz 1
70
Quiz 2
75
82
91
85
87
%一一一一
74
77
What reasonable conclusion can be drawn from the data?
The mean of Quiz 1 scores is greater than the mean of Quiz 2 scores, but the variability is the same.
The mean of Quiz 2 scores is greater than the mean of Quiz 1 scores, but the variability is the same
The variability of Quiz 1 scores is greater than the variability of Quiz 2 scores, but the mean is the same.
The variability of Quiz 2 scores is greater than the variability of Quiz 1 scores, but the mean is the same.
Jjjj
The value of X (click photo)
Answer:
20°
Step-by-step explanation:
;b
Answer:
x=40
Step-by-step explanation:
The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).
<RTS=(1/2)(mQP-mRS)
(x/2)=(1/2)((x+70)-(x+30))
x=x+70-x-30
x=40
what is the rate of change of y with respect to x for this function?
Answer:
Rate of change = -0.2
Step-by-step explanation:
Given:
(-3, 3.6) and (5, 2)
Required:
Rate of change
Solution:
Formula for rate of change = change in y/change in x = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
(-3, 3.6) = (x_1, y_1)
(5, 2) = (x_2, y_2)
Plug in the values into the equation:
Rate of change = [tex] \frac{2 - 3.6}{5 -(-3)} [/tex]
Rate of change = [tex] \frac{-1.6}{8} [/tex] = -0.2
Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0
between which two consecutive integers does √ 350 lie
Answer:
18 and 19
Step-by-step explanation:
Answer:
18 and 19
Step-by-step explanation:
root 350 is 18.71
so in between 18 and 19
4. A rectangular prism has a length of 5 inches and a width of 3 inches. If
the volume of the rectangular prism is 45 cubic inches, what is the height
of the prism?
Answer:
height 3 inches
Step-by-step explanation:
h = V/LW = 45/3x5 = 3 inches
What is the vertical distance from the origin to the point (8, 1)?
Answer:
The vertical distance is 1.
Explanation:
Coordinates are structured as ( x , y )
The "x" is horizontal and the "y" is vertical, when placed onto a graph.
In the question, 8 is "x" and 1 is "y". Meaning the vertical number is 1.
Which number line shows the solution to the inequality -4x + 3 < -5
Answer:x>2
Step-by-step explanation:
4x/4>8/4
which expression is equivalent to 30x + 15y
Group of answer choices
5(6x + 15y)
x(30 +15y)
3(10x + 5y)
2(28x+13y)
Answer:
The right answer is 3*(10x+5y)
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm
I need the median the mode the range and the mean plz help the numbers are 13, 21, 14, 29,26, 14, 23.
Plz help
Answer:
Mean: 20
Median: 21
Mode: 14
Range: 16
Answer:
the median is 21. the mode is 14 and the range is 16
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
Malcolm's net worth is $3,475. His liabilities are $7,650.
What is the total
value of his assets?
A.) 3,475
B.) 7,640
C.) 10,005
D.) 11,115
The solution is, D.) 11,115 is the total value of his assets.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Malcolm's net worth is $3,475.
His liabilities are $7,650.
now, we have,
the total value of his assets is:
we just have to add them.
$3,475 + $7,650
=11125
Hence, The solution is, D.) 11,115 is the total value of his assets.
To earn more on addition click:
brainly.com/question/29560851
#SPJ2
here are the prices of 5 new bicycles in dollars 25,30,50,77,80. The standard deviation is about $26.If a 6th bike is added to the sample that has a price of $400 what happens to the standard deviation?
Answer:
The new standard deviation will be greater than $26
Step-by-step explanation:
The new bicycle has a price much larger than the price of the others. In fact it is almost double the price of the other bicycles. It causes a large increase as a result. Also, I took the quiz.
Solve y = x2-5 for x.
A. X = y +5
B. X=-+ y-5
C. X = y-5
D. X = -+ y+5
y = x^2 - 5
y + 5 = x^2
(Now you need to square root both sides)
√y+5 = x
x = PLUS OR MINUS √y + 5
Maya plots the yards lost during a football game on a number line and labels it A. She plots Point B to the right of zero, a distance that is exactly as far from zero as Point A is. Which sentence is a correct statement about Point B?
The sum of the values of Point A and Point B is negative.
The sum of the values of Point A and Point B is zero.
Point B lies twice the distance from 0 as Point A.
Point B lies to the left of Point A on a number line.
Answer:
B
Step-by-step explanation:
The sum of the values of Point A and Point B is zero since Maya plotted Point B a distance that is exactly as far from zero as Point A is.
Answer: B) The sum of the values of Point A and Point B is zero.
Step-by-step explanation:
They are equally distant from 0, so they cancel eachother out.
The Indian coolies and the ex-slaves, who resented these newcomers flooding into the colonies and driving down wages, were instant rivals. This was convenient for the planters—who were skilled at the game of divide and rule. The planters lumped their workers into two distinct but equally nasty stereotypes: Former slaves were described as lazy, whereas Indians were called meek, docile children. "You may have work and plenty of it for a black man and a coloured man, and they will not do it,” claimed planter W. Alleyne Ireland. He conveniently ignored the fact that the ex-slaves wanted to work their own land, not labor for their former owners. The overseers praised the Indians' meekness but also held them in contempt. The Indian, one overseer claimed, "possesses the low, cringing and abject habit common to his nationality." What evidence do the authors include to support the central idea that Indian workers and formerly enslaved people became rivals? anecdotal evidence that Indian workers and formerly enslaved people were paid wages on different scales empirical evidence that planters ignored the fact that formerly enslaved people wanted to work their own land empirical evidence that planters tried to pit formerly enslaved people against Indian workers to the planters’ advantage logical evidence that Indian workers and formerly enslaved people did not get along with one another because wages went down
Answer:
empirical evidence that planters ignored the fact that formerly enslaved people wanted to work their own land
Kinetic energy is expressed using the unit
A. Meters
b.Meters per second square
C. Joule per second
d Joule
Answer:
C or d
Step-by-step explanation:
kinetic energy is the energy a body possesses due to its motion because it is energy, kinetic energy it expresses the unit of joules. Velocity is very similar to speed. The difference is that Velocity is the speed in the given direction
Uhh help?? I’m highly confused I just want answers
Answer:
1) x = 5√3, y = 5
2) x = 16, y = 8
3) x = 10, y = 5
4) m = 9√15/10, n = 9√5/10
5) x = 3√3/2, y = 3/2
6) x = 6√5, y = 3√5
7) x = 5, y = 5
8) x = 5√2, y = 5
9) a = 2, b = √2
10) m = 10√6/3, n = 5√6/3
Explanation:
For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.
For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.
For 45° - 45° - 90° triangles (Isosceles Right),
Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.
This is all computed as a result of the trigonometric functions:
SOH CAH TOA.
This is a shortcut for these specific triangles.
If you do not have the side marked as x, just do the inverse operation to get it.
90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)
The owner of a store buys wooden benches for $50 each. She marks up the
price by 75%. At the end of the season, she sells the remaining benches for
30% off. How much profit does the owner make on each bench at the end of
the season? Show your work
Answer:
Step-by-step explanation:sdf
Help giving brainliest please help
Answer:
C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.
Step-by-step explanation:
A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5
B. is not correct because the median number for July was 8 which is not greater than the median of August, 10
C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.
D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)
A gift box has the shape of a cube with an edge length of 4.5 in.
What is the volume of the gift box?
Enter your answer in the box.
in3
Considering the provided information in the given question we have,
A gift box is in the shape of a cube.Length of each edge = 4.5 inWe need to find the volume of the gift box. Since it is in the shape of a cube, we wee need to apply the formula of the volume of a cube. We know that,
→ Volume of cube = l × l × l
→ Volume of cube = 4.5 in × 4.5 in × 4.5 in
→ Volume of cube = [tex] \sf 91.125 \: in^3 [/tex]
Therefore, volume of the gift box is [tex] \bf 91.125 \: in^3 [/tex].
Select the three equivalent expressions
Step-by-step explanation:
4(2h + g)
4h + 4h +3g + g
2(4h + 2g)
What is 3/8 divided by 1 1/4 in its simplest form
9514 1404 393
Answer:
3/10
Step-by-step explanation:
(3/8)/(1 1/4) = (3/8)/(5/4) = (3/8)/(10/8) = 3/10
Q) (3/8) ÷ (1 1/4) = ?
→ (3/8) ÷ (1 1/4)
→ (3/8) ÷ (5/4)
→ (3/8) ÷ (10/8)
→ (3/8) × (8/10)
→ 3/10 {final answer}
Robin can clean 727272 rooms in 666 days.
How many rooms can Robin clean in 999 days?
rooms
Answer:
1090908 rooms
Step-by-step explanation:
calculator
Answer:
Robin can clean 9828 rooms in 9 days
Step-by-step explanation:
Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666
number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day
We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9
1092 rooms/day * 9 days = 9829 rooms
