Answer:
865
Step-by-step explanation:
the trip is 865 miles so that is how many miles he will drive
Verify sin4x-sin²x=cos4x-cos²x is an identity.
the 4 is supposed to be small like the 2
Answer:
It's an identityStep-by-step explanation:
[tex]\sin^4x-\sin^2x=\cos^4x-\cos^2x\\\\Ls=\sin^2x(\sin^2x-1)=-\sin^2x(1-\sin^2x)=-\sin^2x\cos^2x\\\\Rs=\cos^2x(\cos^2x-1)=-\cos^2x(1-\cos^2x)=-\cos^2x\sin^2x\\\\Ls=Rs\\\\\text{used}\\\\a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}\ a(b+c)=ab+ac\\\\\sin^2x+\cos^2x=1\to \sin^2x=1-\cos^2x\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x}[/tex]
I gave extra points and I will give brainliest
Which of these is an example of a random sample?
A. Mrs. Baker selects the 10 students who raised their hands to volunteer to fill out a survey.
B. Mrs. Baker selects the 10 students whose names are drawn from a bag to fill out a survey.
C. Mrs. Baker selects the 10 students who arrived to class first on Monday to fill out a survey.
D. Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.
Answer:
I think it's A.
Step-by-step explanation:
I hope it is helpful to you
How do I turn a decimal into a whole number? :)
There is a confusion here. “Decimal” is not a number set. “Whole numbers” is.
“Decimal” has been used to mean three different things about the representation of numbers:
- Numbers written using a base 10 place value system
- The decimal point that separates the integer and fractional parts of a number written in base 10. (Some countries use a comma. Some folks refer to the point used for this purpose in other bases as a decimal too for extra confusion.)
- A number written in the above form that has some numerals, probably nonzero, written to the right of the point. In other words, a number written in decimal form with a nonzero fractional part.
I'm guessing that the usage in this question is referring to the third meaning of “decimal” and will interpret the question as being not about representation of numbers but about transformation of numbers.
To wit, “What are some popular ways real numbers with nonzero fractional parts can be mapped to integers?”
I hope this is the correct interpretation.
There are a few common ways:
- Round towards zero: Ignore the fractional part and keep only the integral part.
- Floor: Take the greatest integer less than the number in question.
- Ceiling: Take the least integer greater than the number in question.
- Round to the nearest integer: Ignore the fractional part if it's less than a half. Otherwise, round away from zero.
These are the main ways of picking integers close to the number in question, but obviously, there are infinitely many ways to map sets of real numbers to mergers, so it is unclear if any of these are what the asker was looking for.
Answer:
if the number after the decimal is 5 or more then round the number before decimal by 1
Step-by-step explanation:
for example:
1234.5
=1235
or
6974.7
=6975
or
7796.4
=7796 (No change on the last number because the number after the decimal is 4, which is under 5)
HELP IM BAD AT THESE KIND OF STUFF
Answer:
The total surface area is 782 inches
Step-by-step explanation:
I do not know the lateral answer sorry
Given m ||n, find the value of x
167°
Answer:
13
Step-by-step explanation:
180-167= 13
× = 13 degrees
Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.
Degree of Certainty
credits earned very uncertain Somewhat Certain very certain Row tot
under 10 24 16 6 46
10 through 59 16 8 20 44
60 or more 2 14 22 38
col total 42 38 48 128
Under the assumption of independence, the expected frequency in the upper left cell is:__________.
A. 2.47
B. 14.56
C. 2.00
D. 11.09
This question is incomplete, the complete question is;
Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.
credits earned very deg.of certainty very Row Total
uncertain somewhat certain certain
under10 24 16 6 46
10 through 59 16 8 20 44
60 or more 2 14 22 38
col total 42 38 48 128
Under the assumption of independence, the expected frequency in the upper left cell is:__________.
A. 12.47
B. 14.56
C. 2.00
D. 11.09
Answer:
Under the assumption of independence, the expected frequency in the upper left cell is 12.47
Option A) 12.47 is the correct Option
Step-by-step explanation:
Given the data in table in the question;
the expected frequency in the upper left cell will be;
Eij = (Ti × Tj) / N
Row total Ti = 38
Column total Tj = 42
Total frequency N = 128
so we substitute
Eij = (38 × 42) / 128
= 1596 / 128
= 12.468 ≈ 12.47
Therefore Under the assumption of independence, the expected frequency in the upper left cell is 12.47
Option A) 12.47 is the correct Option
Find sin(theta) , if cos(theta)=(4/9) and tan(theta) < 0
Recall that
cos²(x) + sin²(x) = 1
for all x, so that
sin(x) = ± √(1 - cos²(x))
Given that cos(θ) = 4/9 > 0, and
tan(θ) = sin(θ) / cos(θ) < 0
it follows that sin(θ) < 0, so
sin(θ) = - √(1 - cos²(θ)) = - √(1 - (4/9)²) = - √(65)/9
The value of sinθ is √(65)/9.
What is a sine function?The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.
Since cos(theta) = 4/9 and tan(theta) < 0, we know that theta is in the second quadrant of the unit circle, where cosine is positive and sine is positive.
We can use the Pythagorean identity to find sin(theta):
sin²(theta) + cos²(theta) = 1
Substituting in the given value of cos(theta), we get:
sin²(theta) + (4/9)² = 1
sin²(theta) + 16/81 = 1
sin²(theta) = 1 - 16/81
sin²(theta) = 65/81
Taking the square root of both sides, we get:
sin(theta) = ± sqrt(65)/9
Since theta is in the second quadrant where sine is positive, we can take the positive root:
sin(theta) = sqrt(65)/9
Therefore, sin(theta) = sqrt(65)/9.
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At Tim’s party 4 people are sharing 2/3 of a pizza. How much will each guest get
Answer:
Each person would get 1/6 of the pizza
Step-by-step explanation:
1/3 divided by 2 is 1/6. Do that again and you will get four of 1/6.
−k+2(−2k−5) please help me
Answer:
-5k - 10
Step-by-step explanation:
-k + 2 (-2k - 5)
-k - 4k - 10
-5k - 10
Answer:
-K+2(-2K-5)
-K-2K-10
-3K=10
K= 10÷(-3)
K=-3.333333
Find the output g when the input r is 4
g=25-3r
g=?
Answer:
G=13. On kahn
Step-by-step explanation:
Solve the system of equations y=x^2-3x+2
y=-9x-3
Which statement can you conclude is true from the given information?
Answer:
angle IJA is a right angle
"find the length indicated"
Answer:
huh??
Step-by-step explanation:
y=-|x+3| domain and range
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
Which shows the best use of the associative and commutative properties to
make simplifying 2.4 + 13 – 5 + 3.6 +7 easier?
O A. (2.4 + 13) + (-5 +3.6 + 7)
O B. (2.4 + (-5) + 13) + (7 + 3.6)
Oc. (7+ 2.4 + 13) + [3.6+ (-5)]
O D. (2.4+ 3.6) + [13 +7+(-5)]
SUBMIT
Answer: D
Step-by-step explanation:
The best use of the associative and commutative properties to simplify the expression 2.4 + 13 - 5 + 3.6 + 7 would be:
D. (2.4 + 3.6) + [13 + 7 + (-5)]
By applying the associative property, we can group the numbers in a way that allows for easier computation.
Here, we group 2.4 and 3.6 together and 13, 7, and -5 together. This allows us to simplify each group separately and then add the results together.
Calculating the groups:
(2.4 + 3.6) = 6
[13 + 7 + (-5)] = 15
Now, we add the results together:
6 + 15 = 21
So, the simplified expression is 21. Therefore, option D provides the best use of the associative and commutative properties to simplify the given expression.
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PLEASE HELP!! It’s urgent!! I will mark brainliest
Answer:
a,c,d
Step-by-step explanation:
Answer:
the answer is F, C, A
How many solutions does this system of equations have?
Answer:
I believe the answer is '2 solutions'.
Step-by-step explanation:
Combine each equation, solve the resulting question which comes out as two seperate variables, x = -1.197-- and y = 7.3990. I believe your answer is '2 solutions' because of this.
Answer:
1 solution
Step-by-step explanation:
Best answer gets brainliest. How do I find X?
Answer:
x=10
Step-by-step explanation:
add al the numbers that are alike so xes with xes blah blah
17x+10=180
-10 both sides
17x=170
divide 17 both sides
check
5(10)=50-1=49
80+5=85
40+6=46
49+85+46=180
Explain how to use the unit-factor method to convert 120 pounds to kilograms.
Answer:
Step-by-step explanation:
lets remember that 1kg=2.2 lb
if
2.2 lbs................................1 kg
120lbs...................................? kg
120/2.2=54.54 kg
Please helppppppopppp
Answer:
a..
Step-by-step explanation:
7. Marsha has three times as many quarters as she does nickels. She has a total of $3.20. How
many of each coin does she have?
A. 2 quarters and 6 nickels
B. 12 quarters and 4 nickels
C. 8 quarters and 24 nickels
D. 18 quarters and 6 nickels
4x4xy+6/3
Please i will give brainliest
GIVE ME THE ANSWER!!!!!!!!!!!!!!!!!!
The seventh grade class is having a dance. They are selling tickets for $8 each. How many tickets do they need to sell to pay for their expenses, which equal $256?
Answer:
They need to sell 32 tickets
Step-by-step explanation:
256/8=32
Answer:
They need to sell 32 tickets to pay for their expenses.
What is the quotient of 28 divided by 7 increased by 4
Answer:
8 beacaus the seven increased from 4
The quotient after increased by 4 is 8.
To calculate the quotient of 28 divided by 7, we perform the division and get:
28 ÷ 7
= 28/7
= (7 x 4)/ 7
= 4
Next, we are asked to increase this quotient by 4. Adding 4 to the quotient:
= 4 + 4
= 8.
Therefore, the quotient after increased by 4 is 8.
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please help me!!!!!!! asap
HEYYYYYYYYYYY YALLLLLLLLLLLLLLLL ADDDDDDDDD MEHHHHHHHHHHHHHHHHH
Answer:
I think the answer is D
Step-by-step explanation:
Jill paid a sales tax of $1.40 when she bought a vest.What was the price of the vest not including the tax?
Answer:
Price of tne Vest + $40 - 1.40 = $38.6
Step-by-step explanation:
3.5% * n = $1.40
0.035 * n = $1.40
0.035/0.035 * n = $1.40/0.035
n = $40
The price of the vest not including the tax is, $40
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products
Now,
Let p = price of a vest
Hence, from the question, this equation can be formed,
⇒ 35% of p = $1.40
⇒ 0.035 x p = $1.4
divide both sides of the equation by 0.035;
⇒ p = $40
Thus, The price of the vest not including the tax is, $40
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Complete question is this;
Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%
5/8 didved by 1/4 plz help me with this
Answer:
The answer is 2.5 or 5/2 as a fraction.
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
2.5
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex]
turns into
[tex]\frac{5}{8}[/tex] ×[tex]\frac{4}{1}[/tex] = [tex]\frac{20}{8}[/tex]
and 20/8 as a decimal is 2.5 :) hope this helps!
grab the image of the rectangle DEFG reflection across the line x= 3
Answers:
D ' at (9, -9)E ' at (5, -9)F ' at (5, -2)G ' at (9, -2)Refer to the diagram below
========================================
Explanation:
For points D,E,F,G we will follow these steps
Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).Reflect across the y axis using the rule [tex](x,y) \to (-x,y)[/tex]. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.Let's go through an example:
Point D is located at (-3, -9). Apply the three steps mentioned above.
Shift point D three units to the left to arrive at (-6, -9)Reflect over the y axis to go from (-6, -9) to (6, -9)Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)
The other points E, F, G will follow the same steps to get the answers you see at the top.
The diagram below visually summarizes everything.
-------------
Side notes:
The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.Helpppppppppppppppppppppp ASAP
9514 1404 393
Answer:
B. G(x) = (x -0.5)³ -(x -0.5)
Step-by-step explanation:
The desired equation can be found by translating the function left one unit. That is accomplished by replacing x with x+1. Then you have ...
G(x) = ((x +1) -1.5)³ -((x +1) -1.5)
G(x) = (x -0.5)³ -(x -0.5) . . . . . . . . matches choice B