Answer:
S = [tex]\frac{36}{25}[/tex]
Step-by-step explanation:
Given expression is,
S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]
S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]
= [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]
= [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]
= [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]
= [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]
= [tex]\frac{6}{5}\times \frac{6}{5}[/tex]
= [tex]\frac{36}{25}[/tex]
Dory can run 3.25 miles every hour. How long will it take her to run a race that is
16 1/4 miles long?
Answer:
it would take her 5 hours
Step-by-step explanation:
16 1/2 divided by 3.25 is 5
Brainliest plz
A chocolate shop sells chocolates with a variety of different fillings.
hazelnut 68
caramel 8
orange 8
What is the probability that a randomly selected chocolate will have caramel filling?
Write your answer as a fraction or whole number.
Answer:
There is a [tex]\frac{2}{21}[/tex] chance of picking caramel-filled chocolate.
Step-by-step explanation:
To set this up, you need to make it a fraction. The denominator of the fraction is how many total chocolates you can pick from. You can figure this out by adding all of the chocolate choices together:
68 hazelnut + 8 caramel + 8 orange = 84 chocolates.
The numerator is defined by the number of caramel chocolates, in this case it is 8. That means the fraction will look like:
[tex]\frac{8}{84}[/tex]
Now that can be simplified down. I divided the top and bottom both by 4 to get [tex]\frac{2}{21}[/tex] and that is as far down as it can go. Therefore that is the probability you will get a caramel-filled chocolate.
5 and 6 ............?
...........................................
Answer:
5. 25
6. 4
Step-by-step explanation:
Answer:
5) 25 6) 4
Step-by-step explanation:
The absolute value is a number's distance from zero. The square root of a number is what multiples by itself to get that number. For example 4 times 4 equals 16
how long will it take with 0.5kW power rating to do 1500J of work?
3 seconds
3 microseconds
3 minutes
0.3 seconds
Della needs fabric that is 12.4 yards long. If the store sells fabric in meters, how much fabric will she need?
Please help me please help no links
What is the value of the expression: x2 + y2 + x - y
when x = -1 and y = 3
Question 1 options:
6
8
12
16
Answer: 6
Step-by-step explanation:
x^2+y^2+x-y
Put x=-1 and y=1
(-1)^2+(3)^2+(-1)-(3)
1+9-1-3
10-4
6
A ride in an amusement park features a swinging ship suspended from a height of 50 feet. The motion of the ship can be modeled by the graph below, where x represents the time, in seconds, since the start of the ride, and f(x) represents the angle, in radians, that the center of the ship makes with respect to the equilibrium position.
Select all the correct answers.
Answer: The first and last options are correct.
f(x) = pi/4 cos (pix/5 - pi/2)
f(x) = pi/4 sin (pix/5)
Step-by-step explanation
The graph shows that A = pi/4.
B = 10, so the period = 2pi/10 = pi/5.
sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.
Hope this helps :)
The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).
option (A) and (D) are correct.
It is given that height of 50 feet and graph is given.
It is to find f(x).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph shows that A = π/4.
B = 10, so the period = 2π/10 = π/5.
sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.
So, the option are (A) and (D).
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Find the product of (x + 3)(x − 3).
x2 − 6x + 9
x2 + 6x + 9
x2 + 9
x2 − 9
Step-by-step explanation:
[tex](x + 3)(x - 3) \\ = {x}^{2} - 3x + 3x - 9 \\ = {x}^{2} - 9[/tex]
#CMIIWTo find the distance between a point X and an inaccessible point , a line segment XY is constructed. Measurements show that XY = 975m , angle XYZ=22^ 42^ prime and angle YZX=105^ 18^ prime . Find the distance between X and Z to the nearest meter.
Answer:
sorry i didn't not answer
whoever gets this correct first gets brainlest!!
D. f(x)=4 (5/2)^x
Are really good tool for graphing problems is Demos.com
Which of the following exam scores should lead to the better grade? Explain your answer. (4 points)
A score of X = 55 on an exam that has a mean of 60 and a standard deviation of 5.
B. A score of X = 40 on an exam that has a mean of 50 and a standard deviation of 20.
Based on the z-score calculations, score A with a score of X = 55 should lead to the better grade.(option-a)
For score A with X = 55, the z-score can be calculated as:
z = (X - mean) / SD = (55 - 60) / 5 = -1
For score B with X = 40, the z-score can be calculated as:
z = (X - mean) / SD = (40 - 50) / 20 = -0.5
The z-score represents the number of standard deviations that a score is above or below the mean. A negative z-score means that the score is below the mean.
Since a z-score of -1 is greater than a z-score of -0.5, score A with X = 55 would be the better score. This is because score A is closer to the mean (60) than score B (50), and it has a smaller standard deviation (5) than score B (20). The lower standard deviation means that scores are more tightly clustered around the mean, making it more difficult to obtain a score that is much higher or lower than the mean.(option-a)
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Andrew is shooting arrows at a target.
The experimental probability that one will hit a bulls eye is 1/4. If he shoots 60 arrows, how many times can he expect to hit a bulls eye?
Answer:
15
Step-by-step explanation:
60/4 = 15
So, Andrew would probably hit a bullseye 15 times.
Lena is saving money to buy a game. So far she has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
12(3/4)=9
12/4=3
3•3=9
When two 6-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is 8
Answer:
5/36
Step-by-step explanation:
Probability is the outcome that a event will occur
Probability = Expected outcome/Total outcome
Since two sided dice are rolled, the total outcome will be expressed as;
Total outcome = 36
Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;
(2,6)(6,2), (5, 3), (3,5), (4, 4)
The expected outcome = 5
Probability = 5/36
Hence the probability that the sum is 8 is 5/36
id- 5121786233 p/w- tepQ3w
Answer:
ok
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
56 + 72 = ( + )
help plz
Answer:
128 = +
Step-by-step explanation:
56 + 72 = 128 (+)
The length of the arc bound by the central angle is 90 degrees is 3 pie, what is the radius?
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
triangular pyramid
Step-by-step explanation:
Answer:
triangular pyramid
cone
Step-by-step explanation:
This test will not impact your grade.
Exam
5
Shot
1.38
Find the missing side. Round
to the nearest tenth.
S
02
17
у
SC
440
Х
x= [?]
Enter
Answer:
if i am not wrong is 119
Step-by-step explanation:
I did it like this:
I took 44 + 17= 61
And then I took 180-61= 119
The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
B
m(x) = -2x² +24x54
-
m(x) = -2(x - 6)² + 18
m(x) = -2(x - 3)(x-9)
Write one of the zeros.
Answer:
m(x) = -2(x - 3)(x - 9)
One of the zeros of the function is x = 3
Step-by-step explanation:
The form that most quickly reveals the zeros (or "roots") of the function is:
m(x) = -2(x - 3)(x - 9)
To find the zeros of the function, we set m(x) equal to zero:
-2(x - 3)(x - 9) = 0
From this equation, we can see that the zeros (roots) of the function occur when either (x - 3) equals zero or (x - 9) equals zero. Solving these equations gives us the zeros:
x - 3 = 0
x = 3
x - 9 = 0
x = 9
Therefore, one of the zeros of the function is x = 3.
Hope this helps!
In a middle school of 80 students, 42 girls and 38 boys. What is the probability
that if two students were randomly chosen, the first is a boy and then a girl
sequentially?
Answer:
dont have idea
Step-by-step explanation:
have not studied that topic
Need to know angle 1, angle 2, angle 3
Answer: Step-by-step explanation:
angle 1=41°
angle 2=angle 1=41°
angle 3=180-2×41=98
Please please please help no link no links no links
Answer:
400
Step-by-step explanation:
V = a² * h/3
Plug in your values:
V = 10² * 12/3
Then solve:
100 * 4 = 400
Jaelyn uses 3 3/4 cups of flour to make 5 batches of pancakes. How many cups of flour she need to make 1 batch?
NO ANSWERS IN UNKNOWN SITES PLEASE OR I'LL REPORT IT!!!
Answer:
3/4
Step-by-step explanation:
Divide 3 3/4 by 5. 3 3/4 as an improper fraction is 15/4. 15/4 * 1/5 (divided by 5) is 3/4. :D dont report me
will mark brianliest please help
Answer:
See below.
Step-by-step explanation:
7x^2 = 343 Divide both sides by 7
7x^2/7 = 343/7
x^2 = 49 Take the square root of both sides.
sqrt(x^2) = sqrt(49)
x = +/- 7
Answers
7- 7sqrt(49)- sqrt(49)I think the last two are kind of iffy. I'm not sure you can call them solutions, but the question probably assumes they are. If you use all four answers and get it wrong, them submit +7 and - 7.
3 Select the correct answer. 52 + 51 + 6 For the rational equation, 1 + 3 = 1 what is a valid value of x? ОА. B. -1 O C. 2 O D. 3 Reset Next
9514 1404 393
Answer:
B. -1
Step-by-step explanation:
[tex]\dfrac{x^2 +5x +6}{x+3}=1\qquad\text{given}\\\\\dfrac{(x+2)(x+3)}{x+3}=1\qquad\text{factor}\\\\x+2=1\qquad x\ne-3\qquad\text{cancel factors}\\\\x=-1\qquad\text{add $-2$}[/tex]
The only valid value of x is -1.
Write the following numeral in words.
616 845
Answer:
six hundred sixteen thousand eight hundred forty five
Step-by-step explanation:
Answer: Six hundred sixteen thousand eight hundred fourty five
!!TIP: To write numbers in letters, its spelled the same as the letters would have been said for example 66 - sixty six.
Which graph represents the function p(x) = |x – 1|?
On a coordinate plane, an absolute value graph has a vertex at (0, 1).
On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).
On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).
The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).
The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).
Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.
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