Which expression is équivalent to 16^3?
2^7
2^11
2^12
2^64
Answer:
2^12
Step-by-step explanation:
\(16^3= (2^4)^3=2^{(4\cdot 3)}=2^{12}\)
Hope this helps!
Answer:2^12
Step-by-step explanation:
First we find out the expression given
16^3= 4096
Then the options
2^11=2048
2^12=4096
2^64= 18446744073709551616
As you can see only 2^12 equals to 4096
Making 2^12 the answer
Hope my explanation helps!
Can someone help me with B and C? I’m confused on what to do… thanks in advance :>
Answer:
(b) $17.94
(c) $23.85
Step-by-step explanation:
First, let us find the new price. A percent, divided by 100, can become a decimal:
6 x .15 = .9
6 + .9 = $6.90
(b) $6.90 x 2.6 = $17.94
^ price ^ pounds
(c)
New price: $6.90 x 3.5 = $44.85
Old price: $6 x 3.5 = $21
New - old: $44.85 - $21 = $23.85
(if you need a, mutiply 6 by 2.6 for an answer of $15.60)
Hope this helps, have a nice day :D
b. 6 + 6 × 0.15 = 6 + 0.9 = 6.90
2.6 × 6.90 = 17.94
Explanation:
Find the new price using the formula retail price = original price + markup. Then find the total cost of buing 2.6 pounds at the new price.
c. 3.5 × 6 = 21
3.5 × 6.90 = 24.15
24.15 - 21 = 3.15
Explanation:
Find the total cost at each price and then subtract.
Find the value of x in the triangle shown below
Silvio works at a car wash. He earns $50 per day and $12 per car washed. Silvio wants to earn at least $158 in 1 day.
Which inequality represents the number of cars (C) Silvio must wash to reach his goal?
Answer:
50+12x≥158
Step-by-step explanation:
starting with $50, adding $12 for every car washed (x), must be at least, but can be greater than, $158.
The required inequality for Silvio to earn more than $158 in one day is, $50 + 12x ≥ 158.
Given that,
Silvio works at a car wash. He earns $50 per day and $12 per car washed. Silvio wants to earn at least $158 in 1 day.
To determine the inequality represents the number of cars (C) Silvio must wash to reach his goal.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the number of cars washed by Silvio be x,
According to the question,
Silvio works at a car wash. He earns $50 per day and $12 per car washed.
Total earning of the day = $50 + 12x
Silvio wants to earn at least $158 in 1 day. So, his total earnings of the day must be greater equal to $158.
$50 + 12x ≥ 158.
Thus, the required inequality for Silvio to earn more than $158 in one day is, $50 + 12x ≥ 158.
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how do i do this? (solve for x) 3(2x + 4) =2x - 8
Answer:
x = -5
Step-by-step explanation:
3 (2x + 4) = 2x - 8
6x + 12 = 2x - 8
- 2x - 2x
4x + 12 = -8
- 12 - 12
4x = -20
/ 4 / 4
x = -5
mary drew a picture of a building. she used the scale shown 1 in:16 ft. the building in her pictures 9 inches tall. what is the height, in feet, of the actual building.
Answer:
okay
i am not sure the answer but hi i am ok
The number of of petals in a daisy garden is proportional to the number of daisies in the garden, as shown in the graph.
Answer: There are 200 petals on 25 daisies, so the constant of proportional is 8
Answer: the constant of proportionality is 8
Step-by-step explanation:
American Eagle is having a 60 % clearance sale on all summer merchandise. The consumer purchased $342.57 of the summer merchandise. What is the final cost to the consumer? Sales tax is 5%.
Answer:
$143.88
Step-by-step explanation:
Look at image above...
I did not add this to the picture but to get the new total of $137.03, you need to subtract $205.54 (the 60% off) from the original total.
The product of integers a,b,c and d is 546 and if 1<a<b<c<d, what is the value of b+c?
Hello,
546=2*3*7*13
a=2, b=3,c=7,d=13
b+c=3+7=10
Hi please help 100 points+brainliest ( it is supposed to be answered like an expenecial function )
1. The table shows the Total Expenses y (in dollars) of the College or University for year 2020-2021 and 2021-2022. Mine it's 21,211
a) Write a function that represents the Total Expenses y (in dollars) of that College or University you would like to attend after t years.
b) Use the function to estimate the Total Expenses your first year of school. *This year (t) is not the same for everyone since there are 8th graders to 11th graders in the class.
c) Sketch a graph (by hand) to model your function.
d) Identify the y-intercept and asymptotes of the graph. Find the domain and range of your function. Then describe the end behavior of the function.
Answer:
a) The Total Expenses y (in dollars) of the College or University for t years can be modeled by an exponential function of the form:
y = ab^t
Where "a" is the initial amount and "b" is the growth rate.
b) Using the given data, we can find the value of "a" by plugging in the first year's data into the equation:
y = ab^t
21211 = a * b^0
a = 21211
Thus, the function representing the Total Expenses y (in dollars) of the College or University after t years is:
y = 21211b^t
c) The graph of the exponential function will be an upward-sloping curve that starts at the point (0, 21211) and grows at a rate determined by the value of "b".
d) The y-intercept of the graph is (0, 21211), which represents the initial expense at the start of the first year. The function has no asymptotes. The domain of the function is all real numbers, while the range of the function is y > 21211. As t approaches infinity, the function grows without bound, which means the end behavior is that the expenses continue to increase exponentially over time.
PLEASE HELP ME. im so bad at these kinda questions.
Answer:
I Think option answer is (2) -6
Which r-value represents the most moderate correlation?
–0.92
–0.18
0.56
0.83
Answer:
0.56
Step-by-step explanation:
The r-value that represents the most moderate correlation is 0.56
How to determine the moderate correlation value?Correlation is represented with r.
And the range of values of r is:
-1 ≤ r ≤ 1
This means that r can take any value from -1 to 1
-1 and 1 are considered strong correlation
While values closer to 0.5 or - 0.5 are moderate
From the list of options,
0.56 is closer to 0.5 than others
Hence, the r-value that represents the most moderate correlation is 0.56
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how to find the spread (range) of the data?
PLEASE SOMEONE HELP ME I NEED TO TURN IT IN BY 12 HELP THANK YOY
1. The table represents the number of ice cream cones sold at an ice cream shop on 15 randomly chosen days and the temperature outside on those days.
Temperature ( )
Ice Cream Cones Sold
35 100
40 110
43 120
45 100
50 130
54 250
55 300
60 400
66 450
70 550
73 50
84 650
85 750
90 750
96 800
(a) Construct a scatter plot using the data in the table.
(b) Is there an outlier? If so, what are the coordinates of the outlier?
(c) Is there a cluster? If so, what is the domain and range of the cluster?
(d) Does the scatter plot show an association between temperature and ice cream cones sold? If so, what type of association is shown?
Answer:
Its C
Thanks
Step-by-step explanation:
hope i helped
Suppose you are an engineer trying to recreate an experiment involving a weight on the end of a spring. This simulation will give you an idea of what the experiment will look like. For more information, you can visit this simple harmonic motion website. You are given the equation y(t)=2 sin 4 pi t + 5 cos 4pi t, which models the position of the weight, with respect to time. You need to find the amplitude of the oscillation, the angular frequency, and the initial conditions of the motion. You will also be required to find the time(s) at which the weight is at a particular position. To find this information, you need to convert the equation to the first form, y(t) = A sin (wt+0).
The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .
How to find the canonical form of the equation for simple harmonic motion
Herein we have a simple harmonic motion model represented by a sinusoidal expression of the form y(t) = A · sin (C · t) + B · cos (C · t), which must be transformed into its canonical form, that is, y(t) = A' · sin (C · t + D). We proceed to perform the procedure by algebraic and trigonometric handling.
The amplitude of the canonical function is determined by the Pythagorean theorem:
A' = √(2² + 5²)
A' = √ 29
The angular frequency C is the constant within the trigonometric functions from the non-canonical formula:
C = 4π
Then, we find the initial position of the weight in time: (t = 0)
y(0) = 2 · sin (4π · 0) + 5 · cos (4π · 0)
y(0) = 5
And now we calculate the angular phase below: (A' = √ 29, C = 4π, y = 5)
5 = √ 29 · sin (4π · 0 + D)
5 / √ 29 = sin D
D ≈ 0.379π rad
The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .
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Help pleaseeee. I really need help.
Answer:
10
Step-by-step explanation:
Perform the said operations
Answer:
10
Step-by-step explanation:
16*2 = 32
32/8 = 4
4*15 = 60
60/6 = 10
10
A bag contains 4 blue coins and 7 red coins. A coin is removed at random and placed by three of the other color.
What is the probability that the removed coin is blue?
Answer:
The probability is 7/11
Step-by-step explanation:
This is because there are 7 blue coins that you can grab out of 11 coins in total.
A large rectangular prism is 5 feet long, 3 feet wide, and 4 feet tall. A small rectangular prism is 2.5 feet long, 1.5 feet wide, and 2 feet tall.
How many small prisms would it take to fill the large prism?
Write your answer as a whole number or decimal. Do not round.
Answer:
2 small prism could fit.
Step-by-step explanation:
the large prism is 4 feet tall, 5 feet long, And 3 feet wide. So it would take to small prism to fit because the small prism is 2 feet tall, 2.5 feet long, And 1.5 feet long. Do you see it the small prism is exactly half the size of the large prism there the large prism could fit two small prism with in its self.
how to rotate a figure 90 degrees clockwise about a point
The point will be 90 degrees clockwise from the original figure, and the angle between the original and the rotated figure will be 90 degrees.
In order to rotate a figure 90 degrees clockwise about a point, you need to use the coordinate plane and apply the transformation matrix, which is a set of mathematical equations that describe the changes in the x and y coordinates of the figure.
First, you need to choose a point of rotation, which is a point around which the figure will be rotated. This point is usually denoted as the origin (0,0) in the coordinate plane. Next, you need to find the coordinates of the vertices of the figure and then apply the transformation matrix to each vertex.
The transformation matrix for a 90 degree clockwise rotation is:
x' = -y
y' = x
where x and y are the original coordinates of the vertex, and x' and y' are the new coordinates after the rotation. To apply this matrix, you simply need to multiply the original x and y coordinates by the corresponding elements of the matrix and then add the results to the origin.
Finally, you need to connect the vertices to form the new image of the figure after the rotation.
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Find the minimum value of the expression given below on the horizontal span of 0 to 6. (Round your answer to two decimal places.)2^x – x² + 7
The given equation is
\(2^x-x^2+7\)To find the minimum of the function between x = 0 and x = 6, we have to graph.
As you can observe in the image above, the minimum between 0 and 6 is 5.949.HELPPPPPPPPP PLEASE HURRY !!!!!!!!!!!!!!!!! GIVING 40 POINTS!!!!!!!!!!!!!!!!!!
HELPPPPPPPPPPPPPPPPP
The time to reach the maximum height is 3 seconds and the maximum height is 44.1 meters, and other solutions are below
The height of the cannot at launchTo do this, we find h when t = 0
From the graph, we have
h(0) = 70
So, the height of the cannot at launch is 70 meters
The time to reach the maximum heightFrom the graph, we have the vertex to be
Vertex, (t, h) = (3, 114.1)
So, the time to reach the maximum height is 3 seconds
The maximum heightFrom the graph, we have the vertex to be
Vertex, (t, h) = (3, 114.1)
So, the maximum height is 114.1 meters
How long to land on the groundThis is when h(t) = 0
From the graph, we have
h(7.93) = 0
So, the time spent is 7.93 seconds
The equation if the velocity changesThe given equation is
h(t) = -4.9t^2 + 29.4t + 70
If the initial velocity changes, then the equation becomes
h(t) = -4.9t^2 + 40.5t + 70
The equation if the height of launch is 0The given equation is
h(t) = -4.9t^2 + 29.4t + 70
If the initial height changes, then the equation becomes
h(t) = -4.9t^2 + 29.4t
The time to reach the maximum height and the maximum heightWe have
h(t) = -4.9t^2 + 29.4t
Differentiate and set to 0
-9.8t = -29.4
So, we have
t = 3
Next, we have
h(3) = -4.9 * 3^2 + 29.4 * 3
h(3) = 44.1
So, the time to reach the maximum height is 3 seconds and the maximum height is 44.1 meters
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I added a picture below
If the final statement when solving a system of linear equations is "5 = 0", it means that: E. none of these statements are true.
What is the Solution to a System of Linear Equations?A solution to a system of linear equations is a set of values for the variables that satisfy all the equations in the system simultaneously. In other words, it is a collection of values for the variables that make all the equations in the system true at the same time.
The solution can be represented graphically as the intersection of the lines or planes defined by the equations in the system, or it can be represented algebraically as a set of values for the variables.
The equation "5 = 0" is false. It means that 5 cannot be equal to 0. This could indicate that the system of linear equations has no solution or that there is an error in the method being used to solve it.
Therefore, the answer is: "none of these statements are true".
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A bag contains 10 counters six of them are white account was taken at random and not replaced second kind was taken out of the bag at random calculate the probability that only one of the two counters is white
Correct question is;
A bag contains 10 counters. 6 of them are white. A counter is taken at random and not replaced. A second counter is taken out of the bag at random. Calculate the probability that only one of the two counters are white
Answer:
probability that only one of the two counters is white = 8/15
Step-by-step explanation:
To solve this question, first of all, let's look at probability we would have to either draw two white counters or two non-white counters (4/10 * 3/9).
Probability(draw 2 white counters) = (6/10 × 5/9) = 30/90 = 1/3
Probability(draw 2 non-white counters) = (4/10 × 3/9) = 2/15
Now, In all other cases, we'll draw exactly one white and one non-white counter, so the odds of this would be;
P(one white counter and one non-white counter) = 1 - [1/3 + 2/15)
= 1 - 7/15 = 8/15
1. Positive
2. Negative
3. Zero
4. Undefined
Answer:
zero
Step-by-step explanation:
zero graphs are lines that are horizontal.
The sales tax rate in New Mexico is 5.125%. Which equations represent the sales tax, t, you would pay in New Mexico for an item of cost c?
t = 0.05125c
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what is the coefficient of x in 4x⁵5+6x²-7x-9
Answer:
-7
Step-by-step explanation:
Place in standard form.
4x⁵+6x²-7x-9
The coefficient of the x-value is -7.
Hope this helps!
\(4x 5 5+6x 2 −7x−9\)
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of anorthit's naxn−1
\(5×20x 5−1 +2×6x 2−1 −7x 1−1\)
Multiply 5 by 4×5.
\(100x 5−1 +2×6x 2−1 −7x 1−1\)
Subtract 1 from 5.
\(100x 4 +2×6x 2−1 −7x 1−1\)
Multiply 2 by 6.
\(100x 4 +12x 2−1 −7x 1−1\)
Subtract 1 from 2.
\(100x 4 +12x 1 −7x 1−1\)
Subtract 1 from 1.
\(100x 4 +12x 1 −7x 0\\\)
For any term t, t 1=t.
\(100x 4 +12x−7x 0\)
For any term t except 0, t 0=1.
\(100x 4 +12x−7\)
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Which of the following is equivalent to (3a + 5b) + 7c?
3a + (5b + 7c)
3a(5b + 7c)
7c(5b + 3a)
8ab + 7c
Answer:
3a + (5b + 7c)
Step-by-step explanation:
The answer cannot be 3a(5b +7c) because when the number is immediately before the brackets, it signifies multiplication. therefore the 3a(5b+7c) would be equivalent to 15ab+21ac
the answer cant be 7c(5b+3a) because of the same explanation as the one above, therefore 7c(5b+3a) would be equivalent to 35cb+21ca
the answer finally cant be 8ab+7c because it means that one added 3a and 5b giving you 8 but it cannot be ab because ab is equivalent to a×b, hence, one cant put a multiplied algebraic expression with an added number
The equation equivalent to the the expression (3a + 5b) + 7c is 3a + (5b+7c). Hence, the first option is the correct one.
What is an expression?In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.
For instance, the equation x + y has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.
The first option is correct because it does not affect the main equation rest are not the same as the equation.
For example, let's take the second equation :
3a (5b + 7C)
After solving this option we get 15ab + 21 ac so it is incorrect because it changed the main expression.
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-12a + 13b - 32
please help me
Answer: 12a+ 13b
Step-by-step explanation:
Answer:
12a+13b
Step-by-step explanation:
The expression cannot be further simplified as there are no like terms.
A health insurance company wants to know the proportion of admitted hospital patients who have a type 2 diabetes at orlando health hospitals. how large of a sample should be taken to estimate the proportion within 6% at 93% confidence?
To estimate the proportion of admitted hospital patients who have type 2 diabetes at Orlando Health Hospitals within a certain margin of error and confidence level,
we can use the following formula to determine the necessary sample size:
\(n = [(Z^2 * p * q) / E^2] / [1 + ((Z^2 * p * q) / E^2N)]\)
where:
n = sample size
Z = z-score for the desired confidence level (in this case, 1.81 for a 93% confidence level)
p = estimated proportion of patients with type 2 diabetes (unknown)
q = 1 - p
E = margin of error (0.06)
N = population size (unknown)
Since we do not know the estimated proportion of patients with type 2 diabetes or the population size,
we can assume a conservative estimate of p = q = 0.5, which maximizes the sample size required.
Plugging in the values, we get:
\(n = [(1.81^2 * 0.5 * 0.5) / 0.06^2] / [1 + ((1.81^2 * 0.5 * 0.5) / 0.06^2N)]\)
Simplifying, we get:
\(n = 1242.95 / [1 + (2.4 / N)]\)
To satisfy the requirements of the problem, we need to round up to the nearest whole number, so we need a sample size of at least 1243 patients.
Note that if we had a better estimate for p or N, we could use those values in the formula to get a more precise sample size.
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Find the value of x with angles t=88 degrees a=145 degrees c=137 degrees s=130 degrees r=125degrees and m= x degrees
To find the value of x, we can use the fact that the sum of angles in a triangle is 180 degrees. Therefore, we can add up the given angles and subtract the sum from 180 degrees to find the value of x.
Sum of angles = t + a + c + s + r + m
180 degrees = 88 degrees + 145 degrees + 137 degrees + 130 degrees + 125 degrees + x degrees
Simplifying the equation:
180 degrees = 625 degrees + x degrees
To isolate x, we can subtract 625 degrees from both sides of the equation:
x degrees = 180 degrees - 625 degrees
x degrees = -445 degrees
Therefore, the value of x is -445 degrees.
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