Answer:
729
Step-by-step explanation:
We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.
When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.
Therefore,
[tex](3^2)^3=3^{2*3} =3^6[/tex]
[tex]3^6 = 729[/tex]
Need help ASAP!!!
Solve for the missing angle.
Answer:
D 56
Step-by-step explanation:
cos x = 5/9
x = 56°
have a great day
three consecutive integers have a sum of 255 find the integers
Answer:
Step-by-step explanation:
Givens
Let the smallest integer = x - 1 (You'll see why in a moment).
Let the middle integer = x
Let the largest ingeger = x + 1
Equation
x - 1 + x + x + 1 = 255
Solution
Combine like terms on the left.
3x - 1 + 1 = 255
3x = 255 Divide by 3
3x/3 = 255/3
x = 85
So the smallest number is 84
The middle number is 85
The largest number is 86
Total 255
Do you see why I made the smallest number x - 1?
It is because the -1 and the plus 1 cancel out.
Please realize the question says consecutive integers. It does not say consecutive odd or consecutive even integers.
A random sample of failure time of 49 kidney transplants (in months) is given: 5.27 43.72 3.96 20.34 44.06 31.18 21.98 34.99 39.36 3.39 23.42 43.41 34.35 46.71 64.87 4.53 7.02 40.50 7.38 37.74 13.49 68.48 48.74 12.85 24.15 27.33 4.82 20.00 55.28 20.83 24.13 11.80 13.82 31.55 36.69 52.57 12.45 40.07 16.86 15.54 15.54 3.85 4.08 5.62 17.44 3.38 41.61 29.52 21.61 If we assume failure time has a Gamma distribution answer the following questions (with 2 decimal points). . Find the critical value for the test (for significance level of 0.1).
Answer:
Critical value ≈ 1.299
Step-by-step explanation:
number of Kidney transplant ( n ) = 49
Determine the critical value for the test
the sample mean = ∑ failure time / n = 1252.28 / 49 = 25.56
next we determine the standard deviation of the sample
s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126
standard error = s / √n = 17.3126 / 7 = 2.4732
Given a significance level of 0.1
df (degree of freedom ) = n -1 = 49 - 1 = 48
∝ = 0.1
critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )
(MATH) (6) ((PHOTO))
label is yd
Answer:
L = 8yd
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
L×5¾yd×2½yd = 115 yd³
14⅜L = 115
L = 115 ÷ 14⅜
L= 8
Find the difference or type
"impossible"
[3 –8] - [4 -5 -6]
Answer:
2
Step-by-step explanation:
(3-8)-(4-5-6)
(-5)-(-7)
-5+7
2
Using subtraction, the solution of the given equation is 2.
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
= [3 - 8] - [4 - 5 - 6]
= [-5] - [4 - 11]
= -5 - [-7]
= -5 + 7
= 2
Learn more about subtraction here
https://brainly.com/question/1927340
#SPJ2
find the area of this trapezoid. Include the correct unit in your answer.
I need help understanding this and how to do it :)
Answer:
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
Step-by-step explanation:
we are given a trapezoid
we want to figure out the area
remember that,
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]
where a and b represent the parallel lines and h represents the height
we get from the pic that a and b are 5 and 15 respectively and h is 7
so substitute:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7[/tex]
simplify addition:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7[/tex]
simplify division:
[tex] \displaystyle A _{ \text{trapezoid}} = 10\times 7[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{trapezoid}} = 70[/tex]
since we multiply two same units we of course have to use square unit
hence,
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
4321 divided by 24 ?
Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber
band, records the color, and returns it to the bag. She does this a total of 50 times
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag, and then select a green rubber band?
Click the arrows to choose an answer from each menu.
Based on the given information, the probablity that Ms. Florina will select a blue rubber band is
Choose... and the probability that she will select a green rubber band is
Choose... The probability that she will select a blue rubber band, return it to the bag,
and then select a green rubber band is Choose...
Answer:18/25 1/5 14/25
Step-by-step explanation:
The probability we have to choose 18/25 1/5 14/25.
Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber.
band, records the color, and returns it to the bag. She does this a total of 50 times.
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag and then select a green rubber band
Click the arrows to choose an answer from each menu.
What is the formula for probability?
It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).
Based on the given information, the probability that Ms. Florina will select a blue rubber band is,
Therefore the probability we have to choose 18/25 1/5 14/25.
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
I ASK SO MUCH OF YOUR HELP, PLEASE. Let x + y = 11 and x^2 + y^2 = 325. What is the value of x^3 + y^3? PLEASE EXPLAIN, TOO .
Answer: 4697
Step-by-step explanation:
x + y = 11 ......... i
x² + y² = 325 ........ ii
From equation i
x + y = 11
Therefore, x = 11 - y....... iii
Put equation iii into equation ii
x² + y² = 325
(11 - y)² + y² = 325
(11 - y)(11 - y) + y² = 325
121 - 11y - 11y + y² + y² = 325
121 - 22y + 2y² = 325
121 - 325 - 22y + 2y² = 0
2y² - 22y -204 = 0
2y² - 34y + 12y - 204 = 0
2y(y - 17) + 12(y - 17) = 0
(y - 17) = 0
y = 0 + 17
y = 17
Since x + y = 11
x + 17 = 11
x = 11 - 17
x = -6
Therefore, x³ + y³
= (-6)³ + (17)³
= -216 + 4913
= 4697
Consider the system of linear equations and the matrix equations below.
- X+ 3y = 2
4x - 2y = 22
-1
3
Х
2
4
-2
22
What is the value of x in the equation?
-36
3
7
64
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
Using Cramer's rule, the value of x is ...
[tex]x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}[/tex]
x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10
x = 7
Find Slope and Y Intercept
5y = 2x + 1
Answer:
[tex] slope \: (m) = \frac{2}{5} \\ \\ y - intercept \: (b) = \frac{1}{5} [/tex]
Step-by-step explanation:
[tex]5y = 2x + 1 \\ \\ \therefore y = \frac{2x + 1}{5} \\ \\\therefore y = \frac{2}{5} x + \frac{1}{5} \\ \\ equating \: it \: with \\ \\ y = mx + b \: we \: find : \\ \\ slope \: (m) = \frac{2}{5} \\ \\ y - intercept \: (b) = \frac{1}{5} [/tex]
The surface area of a cylinder is 602.88. If the dimensions of the cylinder are
halved, what is the surface area of the new cylinder?
O A. 301.44
O B. 4823.04
O C. 2411.52
O D. 150.72
Answer:
you all have to divide by 2
Step-by-step explanation:
602.88÷2= 301.44
Determine If AB is tangent to the circle.
Answer:
no its not
Step-by-step explanation:
radius doesn't make 90 degree with AB. use Pythagoras theorem
7.
Potassium-42 has a half-life of 12.4 hours. How much of an 848 gram sample of potassium-42 will be left after 62.0 hours?
The required amount of potassium-42 left after 62.0 hours is 26.5 grams.
Given that,
Potassium-42 has a half-life of 12.4 hours. How much of an 848-gram sample of potassium-42 will be left after 62.0 hours is to be determined.
The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.
Here,
Amount left of the potassium after 62 hours is given as,
A = 848 [1 / 2 ] ⁶²/¹²°⁴
A = 26.5 gram
Thus, the required amount of potassium-42 left after 62.0 hours is 26.5 grams.
learn more about half-life here:
https://brainly.com/question/24710827
#SPJ2
YOU GO TO THE STORE WITH $100. YOU HAVE A LIST OF THINGS TO BUY THAT WILL COST $70 IN TOTAL. YOU WANT TO BUY OREOS. OREOS COST $3 A PACK. HOW MANY PACKS OF OREO COOKIES CAN YOU BUY?
Write an equation and solve this
Answer:
10
Step-by-step explanation:
First, you would subtract 100-70 to get 30
Then, you would do 30/3 to learn that you could still buy 10 packs of Oreos with the remaining money.
Which expression is equivalent to 3m-1+m ?
Answer:
The answer is 4m-1
Step-by-step explanation:
Answer:
2 + m -1 + m
Step-by-step explanation:
Is this set of ordered pairs a function or not a function?
{(3, 2) (3,5) (4, 6) (7, 8)}
Answer:
Not a function
Step-by-step explanation:
The reason the ordered pairs are not a function is because there is no real equation that can get the correct x and y for each. Along with 3 being a x-value twice, which is also a key sign that it's not a function.
The expression 3(x - 9) is equivalent to....
A. 3(x)+9
B. 3(x)+3(9)
C. 3(x) – 9
D. 3(x) – 3(9)
Answer:
d
Step-by-step explanation:
3(x - 9)
3×x - 3×9
3(x) - 3(9)
If x and y vary inversely and x = 8 when y = 23, what is y when x = 4?
Answer:
11.5
Step-by-step explanation:
x=8 & y=23
then
x=4 is half so you divide by 2
so half of 23 would be 11.5. If you are rounding then it would be 12
name three of the main powers of the executive branch
The executive branch is headed by the president, whose constitutional responsibilities include serving as commander in chief of the armed forces; negotiating treaties; appointing federal judges (including the members of the Supreme Court), ambassadors, and cabinet officials; and acting as head of state.
This will help you.
They:
-Take care that the laws be faithfully executed
-Serve as commander in chief of the armed forces
-Carries out and enforces laws
The President of the United States is the head of the executive branch. It includes the president, vice president, the Cabinet, executive departments, independent agencies, and other boards, commissions, and committees.
Hope I was able to help. :DDD
Charlie Co. owes $800,000 to Tilly, Inc. from whom Charlie buys its inventory. Which account would Charlie use to report the amount owed?
Answer:
I would use chase bank, checking account. they have really good over draft protection.
A 9-foot ladder leans against a building six feet above the ground. At what height would a 15-foot ladder touch the building if both ladder from the same angle with the ground
Answer:
Similar triangles
H/7 = 15/9
H = 11.7 feet.
An agricultural researcher wishes to see if a kelp extract prevents frost damage on tomato plants. two similar small plots are going to be planted with the same variety of tomato. plants in both plots are treated identically, expect the plants on plot 1 are going to be sprayed weekly with a kelp extract while the the plants in a plot 2 are not. let p1 and p2 be the actual proportion of all tomatoes of this variety that would experience crop damage under the kelp and no kelp treatments, respectively, when grown under conditions similar to those in the experiment. which of the following results would indicate that a difference exists between the two treatments?
(a) the 95% confidence interval for p1-p2 is (-0.279, -0.035).
(b) the 95% confidence interval for p1-p2 is (-0.279, 0.035)
(c) the 95% confidence interval for p1-p2 is (0.0279, 0.350)
(d) all of the above
(e) only (a) and (c)
Answer:
(E). only (a) and (c)
Step-by-step explanation:
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
To indicate that difference exists between the two treatments, then we must reject the null and confidence interval must show that the difference between the two treatment is significant.
In other to use confidence interval to test for significance ; Intervals which do not contain 0 implies that difference exists and hence, the difference is significant.
The interval Given by : (-0.279, -0.035) is significant as the interval does not contain 0.
The interval Given by : (0.279, 0.035) is significant as the interval does not contain 0.
The interval Given by : (-0.279, 0.035) is not significant as the interval contains 0.
During the lunar cycle, the Moon always appears: A. to wax, but not wane. B. to wane, but not wax. C. to wax, then wane. D. to wane while waxing. Please help!
Answer:
C.to wax then wane
Step-by-step explanation:
Waxing is "Maxing," or growing with light until a full moon is reached. Waning is the opposite, or decreasing after a full moon, and is always illuminated on the left. Then, there is a waxing or waning Gibbous moon, which means more than half of the moon is illuminated.
What expression is equal to 7x(2+3)
Answer:
14x+21x if thats an option
Step-by-step explanation:
where are the answer choices?
I need help with this by Wednesday Please Help!!!!!
Answer:
Step-by-step explanation:
To complete the given table we will substitute the output value to calculate the input value.
Given function is,
y = 2x + 4
For output value, y = 18
18 = 2x + 4
2x = 18 - 4
x = 7
For output value, y = 22
22 = 2x + 4
2x = 22 - 4
x = 9
For output value, y = 34
34 = 2x + 4
2x = 34 - 4
2x = 30
x = 15
Therefore, table will be,
Input (x) y = 2x + 4 output
7 18
9 22
15 34
How old is a tree with circumference of 62.83 cm?
Step-by-step explanation:
19.9 is the age of the tree.
divide the circumference with 3.142 .
hope this helps you☺️☺️
Review the table of values for function g(x).
x
g(x)
28.9
–3.751
28.99
–3.76
28.999
–3.9
29
undefined
29.001
–4.1
29.01
–4.24
29.1
–4.249
What is Limit of g (x) as x approaches 29g(x), if it exists?
–4.25
–4
–3.75
DNE
Answer:
the answer is b
Step-by-step explanation:
The Limit of g(x) as x approaches 29 is DNE.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
We have a function g(x).
In the given table we have different values of x corresponds to g(x).
Now, the value for x= 29 is not given in the table which is not defined.
and, if the value is not defined then it is also infinity.
So, the limit of g(x) tends to 29 is DNE.
Learn more about Function here:
https://brainly.com/question/13364534
#SPJ3
Please help me out with this!
Answer:
X=9.8
Step-by-step explanation:
Sin=opposite/hypotenuse
Sin33=x/18
X=18sin33=9.8
An ice cream shop has a sign in the shape of an ice cream cone. The sign is made using a semicircle and a triangle, as modeled below.
Which is the best estimate of the area of the sign in square inches?
Answer: 50in²
Step-by-step explanation:
The area of the ice cream cone will be equal to 50.13 square inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the semicircle in a two-dimensional plane is called the area of the semicircle.
The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.
Given that the diameter of the semicircle is 6 inches and the height of the triangle is 12 inches.
The area of the cone will be calculated as,
A = Area of semicircle + Area of triangle
A = (1/2)πr² + (1/2) x B x H
A = (1/2) π (3)² + (1/2) x 12 x 6
A = 14.137 + 36
A = 50.13 square inch
Therefore, the area of the ice cream cone will be equal to 50.13 square inches.
To know more about an area follow
https://brainly.com/question/28876142
#SPJ2