Answer:
Step-by-step explanation:
2^3 . 2^- 5 . 2^- 1
= 2^( 3 - 5 - 1 )
= 2^( 3 - 6 )
= 2^- 3
= 1 / 2^3
= 1 / 8
If
2 . 2^3 . 2^- 5 . 2^- 1
= 2^1 . 2^3 . 2^- 5 . 2^- 1
= 2^( 3 - 5 - 1 + 1 )
= 2^( 3 - 5 )
= 2^- 2
= 1 / 2^2
= 1 / 4
the expression cos x (cos x - tanx sin x) simplifies to...
Answer:
cos(2x)
Step-by-step explanation:
The simplified expression is
How to evaluate trigonometric expression?
A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.
Given expression:
cos(x){cos(x)-tan(x)sin(x)}
Evaluation:
[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]
[tex]cos(x)(\frac{cos^{2} x-sin^{2}x}{cos(x)} )[/tex]
[tex]cos^{2}x-sin^{2}x[/tex]
[tex]cos2x[/tex]
Therefore, the given expression simplifies to cos2x.
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Find the area of this shape *
Answer:
134.1 ft²
Step-by-step explanation:
Fine the area of the square first, then subtract the area of the circle to find the area of the shaded part.
The area of the square
= 25²
= 625 ft²
The radius of the circle
= 25 ÷ 2
= 12.5 ft
The area of the circle
= π × 12.5²
= 490.87385...
= 490.9 ft² (rounded up to the nearest tenth)
The area of the shaded part
= 625 - 490.9
= 134.1 ft²
answer for 40 points!!!
Answer:
a)47/8
b)53/12
c)31/6
d)53/6
e)68/5
f)64/9
Step-by-step explanation:
Answer:
First add the fraction then the whole number
Step-by-step explanation:
a)47/8
b)53/12
c)31/6
d)53/6
e)68/5
f)64/9
Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation
Answer and explanation:
To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:
=x(x-2/x)+x(x+2/x)+x(3)< 3/2
=x-2+x+2+3x < 3/2
=5x < 3/2
x < 3/2/5
x < 3/2×5/1
x < 15/2
x < 7 1/2 or 7. 5
Can All mixed numbers can be renamed as decimals?
Answer:
We can convert a mixed number (or mixed fraction) to a decimal. Strategies to convert mixed fractions to decimals: Change the mixed fraction to an improper fraction and then divide. Convert the fractional part only and then add it to the whole number.
Answer:
Yes
Step-by-step explanation:
Any mixed number that you have, is really the whole number and a set amount of fractions behind it.
If you have 3 [tex]\frac{6}{9}[/tex], then you can change that to 3.6666.... If you have 1 [tex]\frac{1}{2}[/tex], then you can change that to 1.5.
Hope that this helps!
20 points Answer correct
Answer:
a
Step-by-step explanation:
sin25=x/18
x=0.4*18=7.6
Jessica bought 5 gallons of orange juice. The cost of 1 quart of orange juice is $2. How much, in dollars, did Jessica spend on orange juice?
Answer:
$40
Step-by-step explanation:
convert gallons to quart
1 gallon = 4 quarts
5 x 4 = 20 quarts
total cost = 20 x 2 = $40
pls help! In the figure below, m∠ABC = 57 degrees and m∠DAB =116 degrees. What is m∠ABC?
Answer:
59°
Step-by-step explanation:
116-57=59
the outside angle is the 2 inner angles added together
Answer:
59 degrees
Step-by-step explanation:
you can use angle DAB to find out angle BAC by subtracting 180 and 116 to get 64
add 57 and 64 to get 121
subtract 180 and 121 to get 59 degrees.
The temperature was 48°F and dropped 15° in two hours.
What was the temperature after the change?
Answer:
33 degrees Fahrenheit.
Step-by-step explanation:
If the temperature was 48 degrees, and it dropped 15, that means the initial temperature was subtracted by 15.
48 - 15 = 33.
Answer:
33°F
Step-by-step explanation:
The initial temperature was 48°F. Then, it dropped by 15°.
I am assuming that both values are given in the same unit.
48 - 15 = 33
The temperature should be 33 degrees now.
Hope this helps.
Plzzzz Help
Matthew is planning to build a right triangular flower bed as shown below. He has set up the flower bed so that the following is true. Which of the following statements about the flower bed is true?
A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3
Answer:
its b
Step-by-step explanation:
got it right on edge
The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.
What is the volume of the cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
n = 22/7 r = radius = diameter / 2The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³
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Need help with this question as well thank you ppl
Answer:
42 .. isn't that the answer to everything? :P
Step-by-step explanation:
Arianna solved a fraction division problem using the rule " multiply by the reciprocal ". Her work is shown below 2/3 divided by 4/5 2/3 x 4/5 = 8/15
Answer:
2/3 divided by 4/5 = 5/6
Step-by-step explanation:
Arianna working:
2/3 divided by 4/5
= 2/3 x 4/5
= 8/15
Correct working:
2/3 divided by 4/5
= 2/3 ÷ 4/5
Multiply 2/3 by the reciprocal of 4/5
= 2/3 × 5/4
= (2*5) / (3*4)
= 10/12
= 5/6
2/3 divided by 4/5 = 5/6
Arianna's mistake was she didn't multiply by the reciprocal of 4/5
The volume of a sphere can be calculated by V = 4/3 * pi If the volume is 113.04 cm ^ 3 what is the radius?
Answer:
2.99 cm
Step-by-step explanation:
V= [tex]\frac{4}{3}[/tex](pi)(r^3)=113.04cm^3
113.04/ [tex]\frac{4}{3}[/tex](pi) = r^3 = 26.99
r=[tex]\sqrt[3]{26.99}[/tex] = 2.99cm
Answer:
Step-by-step explanation:
Answer is 3
If the number of bacteria in a colony doubles every 480 hours and there is currently a
population of 200 bacteria, what will the population be 960 hours from now?
Answer:
800
Step-by-step explanation:
960 = 2 x 480, so the bacteria will double twice
200 x 2 x 2 = 800
a pair of shoes cost
$74.99 and tax is
9%. What is the
total cost of the shoes?
Answer:
i believe the answer is $81.74
Step-by-step explanation:
74.99*9%
= 6.7491
74.99+6.7491
=81.7391
=$81.74
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
t−7≤12
asap please hjvgjuiohkbjknl m kl;m
Answer:
t is less than or equal to 19
Step-by-step explanation:
t-7<12
+7
t is less than or equal to 19
The local grocery store sells a gallon of milk for 2.94 if my family drinks 1.5 gallon of milk every week how much will they spend on milk for 4 weeks
Answer:
$17.64
Step-by-step explanation:
First multiply 2.94 and 1.5 to find the price for 1.5 gallon os milk.
2.94 x 1.5 = 4.41
Then you multpily by 4 to see the balance after 4 weeks
4.41 x 4 = 17.64
What is the initial value of the function represented by this graph?
~ 5
~ 2
~ 0
~ 1
help please :/
jejsjsj
Answer:
-6
-21
12
Step-by-step explanation:
can i get brainly
Answer:
- 6, - 21, 12
Step-by-step explanation:
(1)
2x - 7 = - 19 ( add 7 to both sides )
2x = - 12 ( divide both sides by 2 )
x = - 6
(2)
[tex]\frac{x}{-3}[/tex] + 5 = 12 ( subtract 5 from both sides )
[tex]\frac{x}{-3}[/tex] = 7 ( multiply both sides by - 3 to clear the fraction )
x = - 21
(3)
[tex]\frac{3}{4}[/tex] x - 5 = 4 ( add 5 to both sides )
[tex]\frac{3}{4}[/tex] x = 9 ( multiply both sides by 4 to clear the fraction )
3x = 36 ( divide both sides by 3 )
x = 12
what is the full form of CRT
Answer:
Cathode Ray tube is the answer I think
Please simplify. IF U TRY TO SCAM ME WITH A LINK OR A NON ANSWER, I REPORT!!
Answer:
1. 192 or 12^4 13. 4c^7 d^13
2. 8x^6 14. 16f^10 g^22
3. x^8 15. x^4y^4
4. 4x^5 16. xy
5. 6^2 17. x^12/64y^9
6. 1/x^3 18. x^8/256y^16
7. 1 19. 1/y^7
8. -1 20. 1/49
9. y^12 21. x^5
10. x^8y^4 22. 16
11. 3x^3 23. x^4
12. 2x^3 24. 1/x^6
25. x^2
26. 1/j^3
Hope this helps! :)
help please.
giving brainliest
Answer:
17 qt
Step-by-step explanation:
¡please help!
The solutions of the equation -x2 +1 = 0 are
and x =
Answer:
x = 1, x = -1
Step-by-step explanation:
-x² = -1
x² = 1
x = ±1
Kevin is painting a border around his dining room. What measurement does Kevin need to know about the wall before he starts?
1: Area
2: Volume
3:Perimeter
Answer:
Perimeter
Step-by-step explanation:
Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room. Keyword for perimeter here is around.
Someone please! Check the answer twice! I just want one wrong and that’s it please! NO FILES I SWEAR IF SOMEONE ADDS A FILE THEIR GETTIN LA CANCLETA
Answer:
x = 55, because if you look the whole entire bar is 180° in total but you dont have to worry about that because that's not what the question is wanting you to look at, If you look really close there is a half and half on both sides so that means there is a 90° angle so you would have to take 90-35 and that is what gives you your missing angle which is 55.
Micheal is using the table below to find the value of 128 x 72 .
Thank you to anyone who answers .
Answer:
it's 128 x 72 =9,216
Step-by-step explanation:
N = 560
A normal distribution of 10 and a standard of 1. What is the probability of selecting a number that is at most 9?
Answer:
0.15866
Step-by-step explanation:
The term at most 9 means = less than or equal to 9
This represented as x ≤ 9
We solve using the z score formula
z = (x-μ)/σ, where
x is the raw score = ≤ 9
μ is the population mean = 10
σ is the population standard deviation = 1
z = 9 - 10/1
z = -1
Probability value from Z-Table:
P(x ≤ 9) = 0.15866
Therefore, the probability of selecting a number that is at most 9 is 0.15866
NEED HELP ASAP !!
A. x=14; angle measure is 30°
B. x=14; angle measure is 42°
C. x=14; angle measure is 30°
D. x=10; angle measure is 42°
Answer:
C
Step-by-step explanation:
i dont really know anything about angles but it looks like the 3x is the exact same angle as 30 degrees on the other side of it
3x=30
x=10
NEED HELP
On a unit test in a statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2. One student’s test grade was 91. What is the z-score for the student’s test?
–5.20
–2.60
2.60
5.20
Answer:
2.60
Step-by-step explanation:
z-score is the difference between the score and mean, divided by the standard deviation.
[tex]z = \frac{x - \mu}{\sigma}[/tex]
[tex]z = \frac{91-77.5}{5.2} = \frac{13.5}{5.2} \approx 2.596[/tex]
So 2.6 is an answer close enough.