(-3.2)^0 write two expressions equivalent to the given expression
Answers
Step-by-step explanation:
First expression
\( = {( - 3 \times 2)}^{0} \)
\( = { - 3}^{0} \times {2}^{0} \)
\( = 1 \times 1\)
\( = 1\)
\( \: \)
Second expression
\( = {( - 3 \times 2)}^{0} \)
\( = { - 6}^{0} \)
\( = 1\)
\( \: \)
third expression
\( = {( - 3 \times 2)}^{0} \)
\( = {( - 3 \times 2)}^{1 - 1} \)
\( = \frac{ - 3 \times 2}{ - 3 \times 2} \)
\( = \frac{ - 6}{ - 6} \)
\( = 1\)
The equivalent expressions are;
1. ( -32/10 ) ⁰
2. ( - 2 × 1.6 )⁰
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
( -3.2 ) ⁰
Now,
First equivalent expression is;
( -3.2 ) ⁰ = ( -32/10 ) ⁰
= ( -32 )⁰ / (10) ⁰
= 1 / 1
= 1
Second equivalent expression is;
( -3.2 ) ⁰ = ( - 2 × 1.6 )⁰
= (-2)⁰ × (1.6)⁰
= 1 × 1
= 1
Thus, The equivalent expressions are;
1. ( -32/10 ) ⁰
2. ( - 2 × 1.6 )⁰
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Related Questions
Using the function g(x) = -2x + 5, what would the input need to be for an output of -5?
Answers
Answer:
5
Step-by-step explanation:
the in put would need to be 5 cuz :
-2 x 5 + 5
-10 + 5
-5
Answer:5
Step-by-step explanation:
Mike Danes has been delayed in going to the annual sales event at one of his favorite apparel stores. His friend has just texted him that there are only 20 shirts left, of which 8 are in size M, 10 in size L, and 2 in size XL. Also 9 of the shirts are white, 5 are blue, and the remaining are of mixed colors. Mike is interested in getting a white or a blue shirt in size L. Define the events A = Getting a white or a blue shirt and B = Getting a shirt in size L. a. Find P(A), P(A^c), and P(B). b. Are the events A and B mutually exclusive? Explain. c. Would you describe Mike's preference by the events A u B or A n B?
Answers
a) Probability of occurrence of evant A is equals to the 7/10.
P(not getting a white or a blue shirt), P(Aᶜ ) is equals the 3/10.
Probability of occurrence of evant B is equal to the 1/2.
b) The events A and B are not mutually exclusive
c) Mike's preference is to getting a white shirt with his size L.
We have a probabality based problem. Probability is defined as chance of occurrence of an event or result. It can be calculate as favourable outcomes divided by total possible outcomes. There is total number of avaliabile shirts = 20 i.e., total possible outcomes = 20
Mike is interested in getting a white or a blue shirt in size L. Let us consider two events :
A : Getting a white or a blue shirt
B: Getting a shirt in size L
a) Number of favourable outcomes to getting white or a blue shirt = 9 white or 5 blues
Probability ( Getting a white or a blue shirt) , P(A)
= 9/20 + 5/20 + 0 = 14/20 = 7/10
P(not Getting a white or a blue shirt), P(Aᶜ )
= 1 - P(A) = 1 - 7/10 = 3/10
ii) The number of favourable outcomes for event B, n(B) = 10
So, Probability of getting a shirt in size L, P(B)
= 10/20 = 1/2
b) Mutually exclusive events are defined as the events that can't happen at the same time. In other words AnB = 0 . Here, we see there is total 14 shirts which are in white or blue colors and 10 are in size L , So there is possibility that shirt is white or blue in colour and in size L , i.e, An B ≠0
So, events A and B are not mutually exclusive.
c) Event ,n( A u B )= n(A) + n(B) - n(A n B)
On the basis of all details, we conclude that Mike's preference is to choose white shirt with size L .
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PLS HELP WILL GIVE BRAINLIEST IF CORRECT (NO LINKS)
Find the measure of arc BC.
Answers
Answer: A 129
Step-by-step explanation:
Because the 2 chords are the same (lines in the circle), the 2 arcs are the same create an equation that makes them equal
3x+24 = 4x -11 >bring x to one side by subtracting both sides by 3x
24 = x -11 > add both sides by 11
35 = x
Now that we have solved for x you need to plug that back into the equation for BC
BC= 4x-11
BC = 4(35) - 11
BC = 140 - 11
BC = 129 >A
100 points will mark brainliest
Answers
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answers
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?
The 99% confidence interval is from about 81.43 to 90.58 miles.
The 95% confidence interval is from about 82.87 to 88.33 miles.
The margin of error for 99% confidence is about 3.59 miles.
The sample isn’t large enough to use a normal distribution.
The margin of error for 95% confidence is about 2.52 miles.
Answers
Answer:
B. The 95% confidence interval is from about 82.87 to 88.33 miles.
C. The margin of error for 99% confidence is about 3.59 miles.
Step-by-step explanation:
No cheese detected or anything hehehe
Find m∠1 and m∠2. and Tell which theorem you use in each case.
Answers
The angles in the parallel lines are as follows;
m∠1 = 42 degreesm∠2 = 42 degrees.How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.
Therefore, let's find the angles m∠1 and m∠2.
Hence,
138 + m∠1 = 180(angles on a straight line)
The sum of angles on a straight line is 180 degrees.
m∠1 = 180 - 138
m∠1 = 42 degrees
Therefore,
m∠1 = m∠2 (alternate exterior angles)
Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.
Alternate exterior angles are congruent.
Therefore,
m∠1 = m∠2 = 42 degrees.
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Same Thing as the first one
Answers
what set of Reflections and rotations could carry ABCD onto itself?
Answers
Reflect over y-axis,reflect over the X axis ,rotate 180°
Option D is the correct option.
Explanation:
Let's take point A which is (4,-1)
Reflection over y- axis will make this point (4,1)
Then, reflection over X axis will make this point (4,-1)
After rotation of 180 degree we will get (-4,1) .
Please see the attached picture....
Hope it helps...
Good luck on your assignment...
Answer: d) reflect over the x-axis, reflect over y-axis, rotate 180°
Step-by-step explanation:
A reflection over the x-axis and a reflection over the y-axis is the SAME as a rotation of 180°. Together they make a rotation of 360°, which results in the image staying at the same place.
Reflection over the x-axis changes the sign of the y-coordinate
Z = (x, y) → Z' = (x, -y)
Reflection over the y-axis changes the sign of the x-coordinate
Z' = (x, -y) → Z'' = (-x, -y)
Rotation of 180° changes the signs of both the x- and y-coordinates
Z'' = (-x, -y) → Z''' = (x, y)
Question content area top Part 1 Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. 427
Answers
The 427 is in the sets of the whole number, real number, rational number, natural number, and integers.
What is set?
A set is a collection of clearly - defined +ique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.
As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 427
The number 427 is in the set of whole numbers
The number 427 is in the set of real numbers
The number 427 is in the set of rational numbers because it can be written as in the form of p/q.
The number 427 is in the set of natural numbers
The number 427 is in the set of integer numbers
Hence, the 427 is in the sets of the whole number, real number, rational number, natural number, and integers.
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b) How many times would you expect the
spinner to land on a shaded section if it were
spun 40 times?
Answers
The number of times the spinner lands on a shaded section are 8 times.
What is the probability?
Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true.
We have,
2 Shaded sections are on a spinner,
8 unshaded sections are on a spinner,
10 total sections are on a spinner,
Therefore,
The probability of the spinner to land on a shaded section:
P = 2 ÷ 10 = 1 ÷ 5
consider x, the number of times the spinner lands on a shaded section.
If the spinner were spun 40 times:
so, \(\frac{x}{40} = \frac{1}{5}\)
By cross multiplying we get,
5x = 40
x = 8
Hence, the number of times the spinner lands on a shaded section are 8 times.
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The blue dot is at what value on the number line -3 -1
Answers
Answer:
It's +2
Step-by-step explanation:
As the positive occurs on the right side of the negatives in the number line so if we keep extending on the right side so we get +2
A motorboat travels 189 kilometers in hours going upstream and 693 kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water: km/h
Rate of the current: km/h
Answers
Answer:
rate of the boat in still water: 81 km/h
rate of the current: 18 km/h
Step-by-step explanation:
Rate of the boat in still water:81 km/h
Rate of the current: 18km/h
What is speed?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time.
Given
b= speed of boat in still water c=speed of current
"boat travels 693 kilometers in 7 hours going downstream" Going downstream, the boat travels b+c km per hour. b+c km/hr = 693 km/7hr = 99 km/hr
b+c=99
"boat travels 189 kilometers in 3 hours going upstream" Going upstream, the boat travels b-c km per hour. b-c km/hr = 189 km/3hr = 63 km/hrb-c=63
Add the equations together to eliminate the c terms: b+c=99 b-c=63 2b = 162, therefore, b= 81
b+c= 99, so c = 99 - b= 18
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A restaurant uses 4 2/3 pounds of meat to make 5 hamburgers. How much meat is used to make one hamburger?
Answers
Answer:
14/15
Step-by-step explanation:
have a great day :) also this anwser is 100% correct. i tested it.
HELP)1-47.Which of the relationships below are functions? If a relationship is not a function, give a reason to support yourconclusion. Homework Helpb.input (a) output (y)&-3195191900-37input (2)- 2074c.d.output (y)1001030**INSERT PICTURES OF YOUR WORK HERE.
Answers
According to the given data, from the relationship seen in the image, the ones that are functions are the following:
b. This is a function becuase there is exactly one output for every input.
Picture of work:
Input output
-3 __________ 19
5 __________ 19
19 __________ 0
0 __________ -3
c. This is a function becuase there is exactly one output for every input.
Input output
7 __________ 10
-2 __________ 0
0 __________ 10
7 __________ 3
4_____________ 0
PLEASE GUYS HELP 60 POINTS PLS HELP
Complete the following:
1. Write an exponential expression: choose an odd number between 0 and 10 to be the base and an even number between 0 and 10 to be the exponent.
2. Label the base and the exponent.
3. Then write the exponential expression in expanded form and standard form
Answers
Answer:
\(e\frac{4}{3}\) will be the exponential expression.
Step-by-step explanation:
We have to choose a number between 0 ad 10 and has to be odd to be base say 3
And even number between 0 ad 10 to be exponent say 4.
So the exponential expression will be : \(e\frac{4}{3}\)
According to the information given above expression is the required expression.
Answer:
43
Step-by-step explanation:
•Taylorann Johnson 3/6/23 3td pero For each parabola, label all parts on the curve. Circle if it is a max or a min. Fill in the points or lines. 1 Name 1. y = x² Opens up or down? Positive Vertex (0.0) Max/Min Axis of Symmetry: x=__ y-intercept (,0) x-intercept(s) or the zeros ( ) [ Parabola Review Domain: (0₁2) Range: (1,8)
Answers
For the given parabola, the parts on the curve should be labeled as follows;
The parabola with the equation y = x² opens up.The vertex of the parabola are (0, 0).The max/min value are equal to (0, 0).The axis of symmetry is x = 0.The y-intercept is equal to (0, 0).The x-intercept or the zeros is (0, 0).The domain is equal to (-∞, ∞).The range is equal to (0, ∞).How to calculate the vertex and axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:
Axis of symmetry, Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = y = x², we have the following:
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(0)/2(1)
Axis of symmetry, Xmax = 0/1 = 0.
Vertex (h, k) = (0, 0).
In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.
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For 24 points answer this question!
Answers
The volume of the composite figure is 6,330.24 in^3
How to find the volume of the figure?We know that the volume of half a sphere of radius R is:
V = (2/3)*pi*R^3
Here we know that pi = 3.14 and R = 12 inches, then the volume is:
V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3
And the volume of a cone of height H and radius R is:
v = (1/3)*pi*R^2*H
So here the volume is:
v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3
Then the total volume is:
3,617.28 in^3 + 2,712.96 in^3 = 6,330.24 in^3
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One-third of a group of people are men. If the number of women is 200 more than the men, find the total number of people
Answers
Answer:
\(total \: people =x \\ no \: of \: men = one \: third \: ofx\)
Step-by-step explanation:
men=1/3×
women=1/3×+200
total people=1/3×+1/3×+200
Amy counts butterflies for a science project.
She wants to know how many more butterflies she saw this month than in the past 4 months.
First she adds the number of butterflies she saw in the past 4 months.
She calls this number b. What should Amy do next?
Answers
Since Amy is determining the difference between the number of butterflies she saw in the past 4 months (figure A) and this month (figure B), her next step is to subtract figure A from figure B.
What is the difference?The difference between the two figures or numbers is the result of a subtraction operation.
A subtraction operation, which is one of the four basic mathematical operations, involves the minuend, subtrahend, and difference, using the minus sign (-) and the equal symbol (=).
Thus, Amy's next step is a subtraction operation to find the difference.
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help me please i have been stuck on this
Answers
Answer:
3 1/8
Step-by-step explanation:
You can rewrite 1 1/4 as 1 2/8, so adding them you'd get 2 9/8, or 3 1/8
HELP I'm really bad at math
Answers
Answer:
18 1/2
Step-by-step explanation:
3 7/10 x 5 = 18 1/2
by what percent did the Howard family water bill increase from May to June? May $65 June $110
Answers
Answer:
45
Step-by-step explanation:
Answer:
41%
Step-by-step explanation:
\(\frac{65}{110}\) as a percentage is 59%
If you add 41%, you end up at $110.
Which inequality is graphed below
Answers
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
(a) A yoga instructor collected student data. She found that students who had less sleep did not tend to burn more or fewer calories
during class. What can she conclude?
There is no correlation between amount of sleep and number of calories burned.
There is a correlation between amount of sleep and number of calories burned. There may or may not be causation. Further studies would
have to be done to determine this.
There is a correlation between amount of sleep and number of calories burned. There is probably also causation. This is because there is likely
an increase in the number of calories burned with an increase in the amount of sleep.
Answers
Answer:
The answer is ( A) -There is no correlation between amount of sleep and number of calories burned
Step-by-step explanation:
If Joe drives 50 mph for 0.5 hours and then 60 mph for 1.5 hours, then how far did he drive?
Answers
Answer:
115 mi
Step-by-step explanation:
speed = distance/time
distance = speed * time
0.5 hours at 50 mph
distance = 50 mph * 0.5 h = 25 mi
1.5 hours at 60 mph
distance = 60 mph * 1.5 h = 90 mi
total distance = 25 mi + 90 mi = 115 mi
Write and solve an inequality to find the possible values of x.
Answers
The inequality tha calculates the possible values of x is x < 2
How to determine the inequality tha calculates xFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
3x + 2 < 10
And, we have
2x + 6 < 10
Evaluate the expressions
So, we have
3x < 8 and 2x < 4
Evaluate
x < 8/3 and x < 2
Hence, the inequality tha calculates x is x < 2
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woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
Answers
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)
Answers
\(f^(-1)(2) = 6\), which is consistent with our earlier result.
What is inverse function?A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.
Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?
Solution:
To find f^(-1)(2), we need to find the value of x such that \(f(x) = 2\) . We can set up an equation:
\(f(x) = \sqrt(2x - 8) = 2\)
Squaring both sides, we get:
\(2x - 8 = 4\)
\(2x = 12\)
\(x = 6\)
Therefore, \(f^(-1)(2) = 6.\)
We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:
\(f(f^(-1)(x)) = x\)
We can substitute x = 2 and solve for f^(-1)(2):
\(f(f^(-1)(2)) = 2\)
\(f^(-1)(2) = (f(6))^(-1)\)
f(6) = √(2(6) - 8) = √4 = 2
Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.
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PLZZZ HELPPPP PLZZZ......
Answers
Answer:
45 units squared
Step-by-step explanation:
Basically you know that two parts of the square is equal to a whole, as 50 plus 50 is 100.
So on the left diagonal, it is equal to 3 units squared, since there are 6 parts and each unit diagonal is equal to 1/2 of a square.
On the right side, there are also 3 units squared, since there are 6 parts and blah blah blah.
Even if it looks different, two partial squares will still add up to one whole square. So the diagonals are equal to 6 units.
Then you can add up your full squares that you already know of so there are 9 units on the bottom row and another 9 on top.
Then you add 7 for the third layer and 6 more on the next.
There are 4 on the next layer and 3 and another square.
So 9 + 9 + 7 + 6 + 4+ 3 + 1.
That is 39.
But you may say: BUT WAIT SCOTTY THERE IS ANOTHER 6
me: oh yah i frgot bro thanks m8
So since there is another 6 more units, it is 45 since 39 + 6 is 45.
Hope this helps boi