Answer:
see explanation
Step-by-step explanation:
using the identity
sin²x + cos²x = 1
consider left side
(cosA - sinA)²
= (cosA - sinA)(cosA - sinA) ← expand using FOIL
= cos²A - sinAcosA - sinAcosA + sin²A
= cos²A + sin²A - 2sinAcosA
= 1 - 2sinAcosA
= right side
A set of data has a mean of 0. 5 and a standard deviation of 0. 1. A data point of the set has a z-score of 2. 5. What does a z-score of 2. 5 mean? The data point is 0. 01 standard deviations away from 2. 5. The data point is 0. 01 standard deviations away from 0. 5 The data point is 2. 5 standard deviations away from 0. 1. The data point is 2. 5 standard deviations away from 0. 5.
Answer:
The answer is D
Step-by-step explanation: I just took the test on edge
If x=y, why is 2 is not equal to 1.
Step-by-step explanation:
this question is kinda tricky
A town has a population of 13,000 and grows at 5% every year what will the population be after 11 years to the nearest whole number
anyone knows the answer?!
Answer:
p = -6.32, 6.32
Step-by-step explanation:
[tex]3 {p}^{2} - 120 = 0[/tex]
[tex] {p}^{2} - 40 = 0[/tex]
[tex] {p}^{2} = 40[/tex]
p = -2√10, 2√10
p= -6.32, 6.32
A quantity with an initial value of 620 grows continuously at a rate of 0.3% per second. What is the value of the quantity after 0.5 minutes, to the nearest hundredth?
Answer:
678.39
Step-by-step explanation:
For this we should probably use the formula A = Pe^rt. The question says that the value grow "continuously" which is our hint that we should use A = Pe^rt rather than A = P(1 +r/n)^nt. Our P = 620 as it is our initial value. e is a constant approx = 2.718. r is our rate, so 0.3% = 0.003, and our t will be in seconds. We need to figure out how many seconds are in .5 minutes, so 30, and that means our t will = 30. Let's plug these in. 620e^(0.003 * 30) = A. This will give us our answer which when rounded to the hundredths = 678.39.
Hope this is helpful.
helppppp its in the picture
Answer:
129 m²
Step-by-step explanation:
S1 = ½ × 6 × 4 = 12 m²
S2 = 5 × 7 = 35 m²
S = 2 × S1 + 3 × S2
= 2 × 12 + 3 × 35
= 24 + 105
= 129 m²
HOPE THIS HELPS AND HAVE A NICE DAY <3
PLEASE ANSWER AS FAST as u can
Answer:
5.4 cm
Step-by-step explanation:
[tex] c =\pi d[/tex][tex] \implies 17 =\pi d[/tex][tex] \implies \frac{17}{\pi} =d[/tex][tex] \implies \frac{17}{3.14} =d[/tex][tex] \implies 5.41401274 =d[/tex][tex] \implies d\approx 5.4\: cm[/tex]Hope it helps you in your learning process
Which is the graph of the function f(x) = -√x
pls help me out i cannot solve this, this is khan academy btw
Answer:
Step-by-step explanation:
(0,5) (3, 1)
(1 - 5)/(3 - 0) = -4/3
y - 5 = -4/3(x - 0)
y - 5 = -4/3x + 0
y = -4/3x + 5
y < -4/3x + 5
Mathew wants to rent a jet ski for a day. it will cost him $125 per hour plus a $10 fee for a life jacket. let h = the number of hours mathew rents the jet ski. write an expression that shows the total amount he will pay. h + part b evaluate the expression you wrote to find the amount mathew will pay if he rents the jet ski for 3 hours. $
Answer: A. 125h + 10 B. $385
Step-by-step explanation:
let h = the number of hours Mathew rents the jet ski
a. 125h + 10
B. Plug in 3 for h
125(3) + 10
375 + 10
⇒ $385
Answer:
F(h)= 125h+10
F(3)=125(3)+10
F(3)=375+10
F(3)=385
Step-by-step explanation:
So sorry if this is incorrect. I hope I could help!
HURRRYYYY PLEASE ANSWER SUPER QUICK The table shows the relationship between x and y.
X
2
6
10
y
8
12
16
20
Select from the drop-down menu to correctly complete the statement.
The value of the dependent variable y is always
the value of the independent variable x.
Choose.
one-half
times
2
5
Next ›
2 more than
Answer:
2 timesStep-by-step explanation:
According to the table, each value of y (dependent variable) is twice the corresponding value of x (independent variable).
This can be shown as
y = 2xCorrect choice is 2 times
me podrían ayudar con esto?
Answer:
0
Step-by-step explanation:
This would be basically be zero/0 because anything times 0 is just nothing.
Two exterior angles of a triangle are 112 and 98. Find the third exterior angle.
Answer: 150°
Step-by-step explanation:
let me know if correct!
What is the coefficient of the x2-term of the algebraic expression 2 x 4 + x squared minus x + 7?
-1
1
0
2
Answer:
1
Step-by-step explanation:
If x doesnt have a number in front of it the coefficient is 1. x^2 + 3x + 7 = 1x^2 + 3x + 7 /// same thing
Answer:
i believe its B. 1
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
Answer:
2/3 to the power 8
Step-by-step explanation:
Power : 2 + 6 = 8
HELP ASAP PLSSSSS
(picture of graph is below)
Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and sports activities per day (rounded to the nearest hour):
Number of hours spent doing leisure and sports activities per day 1 2 3 4 5
Sample A: Number of adults 70 90 135 140 65
Sample B: Number of adults 80 80 130 135 75
Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct—Dan or Bret? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Answer:
Dan is correct
Step-by-step explanation:
Mean = the sum of all data values divided by the total number of data values
Number of adults in Sample A:
= 70 + 90 + 135 + 140 + 65 = 500
Mean of Sample A:
= [ (1 × 70) + (2 × 90) + (3 × 135) + (4 × 140) + (5 × 65) ] ÷ 500
= 1540 ÷ 500
= 3.08
Number of adults in Sample B:
= 80 + 80 + 130 + 135 + 75 = 500
Mean of Sample A:
= [ (1 × 80) + (2 × 80) + (3 × 130) + (4 × 135) + (5 × 75) ] ÷ 500
= 1545 ÷ 500
= 3.09
Mean of the two samples:
= (3.08 + 3.09) ÷ 2
= 3.085 hours
= 3 hours (nearest hour)
The mean of Sample A is 3.08 hours and the mean of Sample B is 3.09 hours, so the mean of the entire sample is 3.085 hours. If we round this to the nearest hour, then the mean is 3 hours. Therefore, Dan is correct in concluding that the adults spend a mean of 3 hours each day doing leisure and sports activities.
Find the base and height of this parallelogram.
Divide the parallelogram into two triangles, assume that our e diagonal is the "base" for both new triangles. What's the height of that triangle? Use the sine function. It's (f/2) * sin (angle)! The area of the triangle is equal to our "base" e times height: e * (f/2) * sin (angle)
The base is 12 feet long, the height is 17 feet long.
How To Solve: https://brainly.com/question/544471
Credit to: naǫ
In many cases, lenders allow homeowners to include their homeowners insurance premium with their monthly mortgage payment. tim’s home is worth $279,500. if his homeowners insurance premium is $0.33 per $100, how much is added to his monthly mortgage payment for insurance? a. $7.69 b. $76.86 c. $92.35 d. $922.35 please select the best answer from the choices provided a b c d
The amount that is added to his monthly mortgage payment for insurance is b. $76.86.
What is a Mortgage?This refers to the amount of money that is paid for the downpayment for a piece of property.
Given that the worth of the home is $279,000
premium is $0.33 per $100.
1 month premium on $1 is $0.0275/100
Now, one month's premium is calculated as:
$0.0275/100 * 279,000
=$76.86
Read more about mortgages here:
https://brainly.com/question/26654897
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What is the coefficient of x in 2x+3?
0
2
3
5
Answer:
The coefficient of x becomes 4. Hope it helps you
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Mark me brainliest
What is the value of 6 n=2 (n-1)!/2
Answer: d- 76.5
Step-by-step explanation:
A quantity of bacteria doubles every hour. If you start with 100 bacteria cells, the number of cells you will have at any time can be found by the formula c = 100(2)x. How many hours will it take to have 1,000,000 bacteria? Round to the nearest whole number.
Answer:
10,000 hours
Step-by-step explanation:
10,000 x 100 = 1,000,000
Hope this helps!
What is an equation of the line that passes through the point (-4,-6) and is
parallel to the line 33 – y = 6?
Hey there!
33 - y = 6
33 - 1y = 6
-1y + 33 = 6
-y + 33 = 6
SUBTRACT 33 to BOTH SIDES
-y + 33 - 33 = 6 - 33
SIMPLIFY IT!
-y =6 - 33
-y = 6 - 33
-1y = -27
DIVIDE -1 to BOTH SIDES
-1y/-1 = -27/-1
SIMPLIFY IT!
y = -27/-1
y = 27
Therefore, your answer is: y = 27
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I guess question is wrong :
What is an equation of the line that passes through the point (-4,-6) and is parallel to the line 33 x– y = 6?
3x - y = 6
[tex]m = \frac{ - a}{b} [/tex]
[tex]m = \frac{ - 3}{ - 1} [/tex]
[tex]m = 1[/tex]
Lines are parallel :
m1 = m2
[tex]x - x1 = m(y - y1)[/tex]
[tex]x + 4= 1(y + 6)[/tex]
[tex]x + 4= y + 6[/tex]
[tex]x - y= 6 - 4[/tex]
[tex]x - y - 2 = 0[/tex]
A softball has a volume of about 29 cubic inches. Find the radius of the softball. Round your answer to the nearest tenth.
The radius of the softball is about _ inches.
The geometry of the softball is a sphere. Then the radius of the softball will be 1.91 inches.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A softball has a volume of about 29 cubic inches.
Then the radius of the softball will be
The geometry of the softball is a sphere.
Then the volume of the sphere is given as
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
where r is the radius of the softball.
Then we have
[tex]\rm r^3 = \dfrac{3V}{ 4 \pi}\\\\r^3 = \dfrac{3 \times 29}{4 \times \pi}\\\\r^3 = \dfrac{87}{12.5664}\\\\r^3 = 6.9232\\\\r \ \ = \sqrt[3]{6.9232}\\\\r \ \ = 1.9059 \approx 1.91 \ in.[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
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Which of the following sets of numbers could represent the three sides of a triangle?
O {11, 16, 25}
O {7,13,20}
O {7, 11, 20}
O {11, 15, 27}
Answer:
{11, 16, 25}
Step-by-step explanation:
This is because whenever you add two sides of a triangle, it must be greater than the third side.
heyyy please help me here
Answer:
The correct answer is 111.
Step-by-step explanation:
Each time, the number increases by the number it increased by before, plus 2.
The full sequence would be:
3, 9, 17, 27 , 39, 53, 69, 89, 111.
Hope this helps:) Goodluck!
HELPPP PLEASEEEEE
Tyrion creates a set of nesting shapes as a toy set for his baby nephew. The outer figure is a
cube with an edge length of 20 centimeters. The middle figure is a square pyramid with an
identical square base and the same height as the cube. The innermost figure is a cone with a
diameter and height equal to the edge of the cube. Calculate the difference of volumes
between cube and cone. Round your answers to the nearest whole cubic centimeter.
Answer:
5906
Step-by-step explanation:
The difference in volumes between cube and cone is 5190.52 cubic units.
How to find the volume of a cube?Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
The outer figure is a cube with an edge length of 20 centimeters.
The volume of that cube = L³ cubic units.
= 8000 cubic units.
The volume of that cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
The height is 20 cm and the radius will be
[tex]D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1[/tex]
volume of that cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
= [tex]V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3[/tex]
= 59190.52 cubic units
Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.
Learn more about the volume of a cube here:
https://brainly.com/question/26136041
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Can you answer this for me ty :)
Joan is 5 years older than Ellen, and 3 years ago their sum of their ages is 17, in how many years will Joan be 21?
Answer:
7
Step-by-step explanation:
a bucket is 12cm in diameter at the top , 8cm in diameter at the bottom and 4cm deep.calculate uts volume in cm cubein terms of pi
Answer:
that is 12x8x4= 384
that should be the final answer
What is the quotient of 1.728 x 109 and 4.8 x 106 expressed in scientific notation?
Answer:
4.1386 X 10^3
Step-by-step explanation:
since,
1.728 x 109 = 187 .48
4.8 X 106 = 0.04528 (approx. 0.0453)
187.48 ÷ 0.0453 = 4138.6
4138.6 = 4.1386 X 10^3
What is the quotient of [tex]1.728*10^9 and, 4.8*10^6[/tex] expressed in scientific notation?
[tex]\frac{1.728*10^9}{4.8*10^6}[/tex] Divide
[tex]\frac{1.728}{4.8} * \frac{10^9}{10^6}[/tex] Divide numbers and 10's separately.
[tex]0.36*10^3[/tex] Subtract exponents.
[tex](3.6*10^-^1 )*10^3[/tex] Rewrite as a number bigger than 1
[tex]3.6*(10^-^1*10^3)[/tex] Associate
The answer is
[tex]3.6*10^2[/tex] Add exponents
