Using the order of operations, which operation in the
expression 3×2-2³ ÷ 4 should be completed first?
A) Multiply 3 and 2.
B) Divide 2^3 by 4
C) Cube 2.
D)
Subtract 2^3 from 2.
Answers
Answer:
C) Cube 2.
Step-by-step explanation:
Cubing 2 means to take 3 as an exponent of 2.
Parantheses
Exponents ==> 2³
Multiplication ==> 3*2
Division ==> 2³ ÷ 4
Addition
Subtraction ==> 2-2³
In PEMDAS, Exponents is the second highest priority in an equation, so it comes first in 3×2-2³ ÷ 4 as there is no parantheses.
To learn more about PEMDAS, click here:
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Related Questions
John is 70 years younger than Sharon. Sharon is 4 times as old as John.
If you let s = Sharon's age and j = John's age, then the problem can be represented by a system of equations. Which of the
following shows a graph of this system and the solution to this problem?
1
Answers
Answer:
j = 23 years-old s = 92 years old.
Step-by-step explanation:
j = s - 70
s = 4j
j = 4j - 70
-3j = -70
j = 70/3
j = 23
s = 92
URGENT HELP Graph f(x) = 3|x - 5| + 1 (please put picture of the answer graphed)
Answers
Answer:
Step-by-step explanation:
I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.
In the last 20 sets of volleyball, Hailey has scored over 8 points
sets of volleyball that Hailey plays?
3
of the time. What prediction can you make about the next 10
She will score over 8 points 3 times.
B)
She will score over 8 points 4 times.
She will score over 8 points 6 times.
D)
She will score over 8 points 8 times.
Answers
Answer:
B she will score over 8 points 4 times
Step-by-step explanation:
Hi here is the problem
Answers
Answer:
Look at the image.
Step-by-step explanation:
24 ÷ 4 = 6
6 × 9 = 54
24 ÷ 3 = 8
8 × 5 = 40
Can someone help me pls
Answers
Answer:
16.01
Step-by-step explanation:
sin 88° = 16/x
0.9994x = 16
x = 16.01
4. Which set of ordered pairs represents a function?
(1) {(0,4), (2,4),(2,5)}
(2){(6,0), (5,0),(4,0)}
(3) {(4,1),(6,2), (6,3), (5,0)}
(4) {(0,4),(1,4), (0,5),(1,5)}
Answers
Answer: (2) {(6,0), (5,0),(4,0)}
It is a function, where each value is associated with exactly one output.
Step-by-step explanation:
A relation is said to be a function if the first components of the ordered pairs are associated with exactly one value of the second components of the ordered pair.
(1) {(0,4), (2,4),(2,5)}
here 2 is associated with 2 different values of second component.
Thus it is not a function.
(2) {(6,0), (5,0),(4,0)}
It is a function, where each value is associated with exactly one output.
(3) {(4,1),(6,2), (6,3), (5,0)}
It is not a function as 6 is associated with 2 different values of second component.
(4) {(0,4),(1,4), (0,5),(1,5)}
It is not a function as 0 and 1 are associated with 2 different values of second component.
5 x 100 + 4 x 10 + 6 x 1 + 2 x ( 1/10) + 8 x ( 1/1000) =?
Answers
Answer:
68276/125
Step-by-step explanation:
500+40+6+1/5+1/125
546+26/125
68276/125
Answer:
546.208
Step-by-step explanation:
5
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+
8
(
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)
{\color{#c92786}{5}} \cdot {\color{#c92786}{100}}+4 \cdot 10+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})
5⋅100+4⋅10+6⋅1+2x(101)+8x(10001)
5
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500+{\color{#c92786}{4}} \cdot {\color{#c92786}{10}}+6 \cdot 1+2x(\frac{1}{10})+8x(\frac{1}{1000})
500+4⋅10+6⋅1+2x(101)+8x(10001)
5
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500+40+{\color{#c92786}{6}} \cdot {\color{#c92786}{1}}+2x(\frac{1}{10})+8x(\frac{1}{1000})
500+40+6⋅1+2x(101)+8x(10001)
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500+40+6+{\color{#c92786}{2}}x \cdot {\color{#c92786}{\frac{1}{10}}}+8x(\frac{1}{1000})
500+40+6+2x⋅101+8x(10001)
5
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500+40+6+\frac{1}{5}x+8x(\frac{1}{1000})
500+40+6+51x+8x(10001)
5
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500+40+6+\frac{1x}{5}+8x(\frac{1}{1000})
500+40+6+51x+8x(10001)
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500+40+6+\frac{x}{5}+{\color{#c92786}{8}}x \cdot {\color{#c92786}{\frac{1}{1000}}}
500+40+6+5x+8x⋅10001
5
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500+40+6+\frac{x}{5}+\frac{1}{125}x
500+40+6+5x+1251x
5
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500+40+6+\frac{x}{5}+\frac{1x}{125}
500+40+6+5x+1251x
9
Multiply by 1
5
0
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500+40+6+\frac{x}{5}+\frac{1x}{125}
500+40+6+5x+1251x
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55
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{\color{#c92786}{500}}+{\color{#c92786}{40}}+{\color{#c92786}{6}}+\frac{x}{5}+\frac{x}{125}
500+40+6+5x+125x
5
4
6
+
5
+
1
2
5
{\color{#c92786}{546}}+\frac{x}{5}+\frac{x}{125}
546+5x+125x
Show less
Solution
5
4
6
+
5
+
1
2
5
Find the 20th term in the following
arithmetic sequence :
12, 15, 18, 21, ..
Answers
Rule: an=a1+(n-1)d
12+(20-1)(3)
Answer : 69
A can of tuna has a diameter of 4 Inches and a helght of 3 inches. What is the volume of the can of tuna? (Use 3.14 for
TT.)
37.68 in 3
150.72 in. 3
56.52 in 3
113.04 in. 3
Answers
Answer:
37.68 Inches cubed (A)
Step-by-step explanation:
The formula for a cylinder is:
πr^2(h)
First, let's find the radius, which is:
4/2 = 2
Now, we can plug in the values:
3.14(2)^2(3)
Do exponents first:
3.14(4)(3)
Multiply left to right:
12.56(3)
Again:
37.68 Inches
So, the answer is:
37.68 Inches cubed (Or A)
Hope this helps!
Which of these is a statistical question? I accidentally clicked an clicked an answer, but I want to know which one is the right one.
Answers
Step-by-step explanation:
I think A is the answer to your question
What's is the value of the expression 4v+r² when v equals 4 and r equals 3
Answers
Answer:
25
Step-by-step explanation:
4(4) + 3^2 ---> plug in 4 for v and 3 for r into the expression
16 + 9 = 25
hope this helps!
WILL MAKE BRAINLIEST
write the slope intercept form of the equation of each line
Answers
Answer:
3. y = -3x + 2
4. y = 3x - 5
Step-by-step explanation:
Slope-intercept form equation is given as y = mx + b.
3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).
Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1
m = -3
Find the y-intercept (b):
The y-intercept (b) = 2 (this is where the line intercepts the y-axis)
b = 2
✅To write the equation, substitute m = -3 and b = 2 into y = mx + b
Thus:
y = -3x + 2
4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).
Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3
m = 3
Find the y-intercept (b):
The y-intercept (b) = -5 (this is where the line intercepts the y-axis)
b = -5
✅To write the equation, substitute m = 3 and b = -5 into y = mx + b
Thus:
y = 3x + (-5)
y = 3x - 5
HELP PLZZZ HELP I’ll give u BRAINLY
Answers
Answer:
1 Factor out the common term 22.
2(x+3y)=6
2(x+3y)=6
2 Divide both sides by 22.
x+3y=\frac{6}{2}
x+3y=
2
6
3 Simplify \frac{6}{2}
2
6
to 33.
x+3y=3
x+3y=3
4 Subtract 3y3y from both sides.
x=3-3y
x=3−3y
Answer:
x=3 and y=2
Step-by-step explanation:
I hope I"m right and if I am can I be marked brainliest.
Roman used 10% off coupon to buy a toaster that was originally priced at $18.48. Is the final amount cheaper or more expensive than the original price?
Correct answer gets Brainliest! Have an amazing day!! :)
Answers
For which function and interval can the extreme value theorem be applied?
O f(x) =
Х
(x-6)
over the interval [3, 5)
-5
f(x) =
2(x-7)3
over the interval (6,8)
f(x) = 4 tan(Ttx) over the interval [0, 1]
f(x) = 3e' + 1 over the interval (1,3)
Answers
Answer:
A
Step-by-step explanation:
A function assigns the value. The function on which the extreme value theorem can be applied is f(x)=x/(x-6)².
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
In a function for the extreme value theorem to be applicable, the function must be continue between the given interval.
The denominator of the first function will not continue when the value of x= 6, which is not in the interval [3,5). Therefore, the extreme value theorem is applicable.
To verify if the system will continue or not, you can plot the graph of the function, and look between the interval if the function continues or not. As shown below.
Hence, the function on which the extreme value theorem can be applied is f(x)=x/(x-6)².
Learn more about Function:
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#SPJ2
CAN SOMEONE HELP ME and please tell me the right answer this test means a lot to me :(
Answers
Which graph represents an exponential function?
Answers
i-Ready
Equivalent Linear Expressions - Instruction - Level G
3
-2 +1+
4
2
) Write an expression that is equivalent to
2
3
1
20.
2
2
1
3
-2 +1+ 2
4
4
1
2
2
2 +
?
3
Answers
Answer:
LEavel ^ 9-8=1
Step-by-step explanation:
Four friends share 3 sheets of construction paper equally.
Answers
Hope it help!!
The graph of a linear function
is shown on the grid.
What is the rate of change of y with respect to x for this function?
Record your answer in the space below.
Answers
If the slope (-.5) needed to be a decimal it would be -1/2
The y value is 5
"Lily wants to buy a tablet that costs $120. Her dad said that
he would pay 30% of the cost. How much money will her
father contribute towards the tablet?"
Answers
Answer:
36$
Step-by-step explanation:
120×0.3 =36$
or
120=100%
1.2=1% /×30
36=30%
$30 will be contributed by her father
An angle measures 78° less than the measure of its supplementary angle. What is the
measure of each angle?
Answers
Answer:
Step-by-step explanation:
Supplementary angles add up to 180°.
If the angle is x, its supplement is 180°-x.
x = (180°-x) - 78°
x = 51°
supplement = 180°-x = 129°
The angles are 51° and 129°
keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?
Answers
Answer:
7920
Step-by-step explanation:
Calculator
What is the circumference in centimeters of the circle? Use 3.14 for 7. Enter your answer in the box
24 cm
cm
Answers
Answer:
75.36
Step-by-step explanation:
24 cm x 3.14 = 75.36
In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of ther- mal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Ğ¢ÑÑеп ni xi si
Graded 42 0.486 0.187
No-fines Ñ 42 0.359 0.158
Assume that the conductivity for each sample of concrete is independent of that of all the others. Our interest is in determining if the mean conductivity for the graded concrete is significantly different than the mean conductivity for the no-fines concrete?
Required:
a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Answers
Step-by-step explanation:
Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Type ni xi si
Graded 42 0.486 0.187
No-fines 42 0.359 0.158
To find - a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Proof -
a.)
Hypothesis testing problem :
H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
b)
Test statistic :
[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]
[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]
[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]
[tex]Z = \frac{0.127 }{0.0377}[/tex]
⇒Z(cal) = 3.3687
Z(tab) = 1.96
As Z (cal) > Z(tab)
So, we reject H0 at 5% Level of significance
p-value = 0.99962
Hence
There is significant difference in mean conductivity at the two materials.
What are some random numbers that add up to 50?
Answers
Answer:
25+25, 40+10, 35+15 If that's your question, not sure. But if you mean what's divisible by 50, maybe 10, 5
Step-by-step explanation:
HELP PLS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answers
Answer:
area = 255 [tex]m^{2}[/tex]
perimeter = 20+6.7+8+8+15+26 = 83.7m
Step-by-step explanation:
top left triangle - base is 3 because (20-8-9). so 1/2 bh = 1/2 (3) (6) = 9
left rectangle = l x w = 20 x 6 = 120
middle square = l x w = 8 x 9 = 72
lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54
9+120+72+54 = 255
Can someone help with this question plz
Answers
Answer:
A: 2x + 13 = 59
Step-by-step explanation:
1/5 x 10 = 2 and 1/5 x 5 = 1, then you equation looks like this:
12+2x+1=59
Next, you must do 12+1 which gives you 13. Therefore the simplified equation is 2x+13=59
Calculate the circumference. show me process
Answers
Answer:
Radius is 13
13 x 3.14 x 2 = 81.64
Formula of circumference:
2 x pie(3.14 or 22/7) x r (radius
What is the Probability of flipping a coin and landing on heads (unlikely,likely,Equally likely of certain,or impossible)
Answers
Answer:
Equally likely
Step-by-step explanation:
A coin has two sides, heads and tails, so if you flip it, you have a 50% chance to get heads and a 50% chance to get tails. 50% - 50% is an equal ratio, therefore having an equal chance of likelyhood to get heads.