Answer:
Exponents
By Vicki Young
I open up my textbook when I first get out of bed,
Start studying those rules, just like my teacher said!
Recognizing bases, exponents, too.
Exponents must be positive, negatives won't do.
I've got to work these problems, I've got to find a way.
Oh, I feel frantic today!
I start to see a pattern to how these things are done.
I raise to zero power and the answer's always one.
The base just can't be zero - I must remember that.
Just three more rules to learn now and then I can relax.
I'll put it all together, I'll know it pretty soon.
Oh, I feel better at noon!
To multiply same bases, exponents I combine.
Dividing's just the opposite, but then I must decide
To subtract the smaller power, the base correctly place.
The power rule says multiply, parentheses erase.
I know I've got these rules now, I know I've got them right.
Oh, I feel lucky tonight!
Step-by-step explanation:
9 syms t f=log10( abs (sqrt(1+t ∧
2/5)));t=−1; double ( subs (f))= ? In Problems 9−14, using only a hand calculator, replace the question mark with what the output would be if the commands were executed in MATLAB.
The output of double(subs(f)) when executed in MATLAB with t = -1 would be approximately 0.58496.
To find the value of the expression double(subs(f)) for the given MATLAB code, we can substitute t = -1 into the function f and evaluate it.
Here's the updated MATLAB code:
matlab
Copy code
syms t
f = log10(abs(sqrt(1 + t^(2/5))));
t = -1;
result = double(subs(f));
To calculate the value of double(subs(f)), we substitute t = -1 into f and then evaluate the expression. Using a hand calculator or performing the calculations manually, we find:
matlab
Copy code
result = double(subs(f))
= double(subs(log10(abs(sqrt(1 + (-1)^(2/5))))))
= double(subs(log10(abs(sqrt(1 + (-1)^(2/5))))), -1)
≈ 0.58496
Therefore, the output of double(subs(f)) when executed in MATLAB with t = -1 would be approximately 0.58496.
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Formula is S=2nr squared
If r=7 and n=3.14,calculate S rounded off to two decimal places.
Answer:
307.72
Step-by-step explanation:
S=2nr²
S=2×3.14×7²
S=307.72
The statement says that you’ve triggered the penalty apr so that it has now increased to 28. 99%. What action triggered this?.
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."
A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.
If the minimum payment was not made by the due date, Penalty APR would be applied.
But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.
Therefore,
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
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Help is much appreciated x
Answer:
23.2 cm
Step-by-step explanation:
For the angle of 53.2 deg, x is the opposite leg. The hypotenuse is 29 cm.
sin A = opp/hyp
sin 53.2 deg = x/29 cm
x = 29 cm * sin 53.2 deg
x = 23.2 cm
The ratio of potatoes to onions is 1:2 respectively if there are 14 onions how many photatoes are there
Answer:
7
Step-by-step explanation:
The ratio of potatoes to onions is 1:2, meaning there are twice as many onions as potatoes.
\(\frac{\text{potatoes}}{\text{onions}}=\frac{1}{2}=\frac{x}{14}\)
The fraction on the right is equivalent to 1/2, so the numerator is half the denominator. There are 7 potatoes.
hello please help i’ll give brainliest
Answer:
I think the answer is before however
Answer:
However
Step-by-step explanation:
I totally am blanking about the name of this situation but the comma goes before and after the "however" :)
Given right triangle ABC what is the value of tanA AB=26 BC=24 AC= 10
Answer:
tanA = 12/5
Step-by-step explanation:
In a pasture of grass and other plants, the biomass of insects makes up 5000 kilograms. This is 5% of the total biomass of the pasture. What is the total biomass of the pasture? Set up the problem and solve below.
5000kg------->5%
x------------------>100%
Using Cross-multiplication:
5000/x=5/100
Solving for x:
x=(100*5000)/5 =100000kg
You can verify the answer:
100000kg *5% =100000*0.05= 5000kg
Calculate the Area of Surface S defined by: r(u,v)=⟨ucos(v),usin(v),u2⟩0≤u≤1,0≤v≤2π.
The area of the surface S in the given region [0, 1] × [0, 2π]. To calculate the area of the surface S defined by the parametric equations r(u,v) = ⟨ucos(v), usin(v), u^2⟩ .
Where 0 ≤ u ≤ 1 and 0 ≤ v ≤ 2π, we can use the surface area formula for parametric surfaces: A = ∬S ||r_u × r_v|| dA, where r_u and r_v are the partial derivatives of r with respect to u and v, respectively, and dA represents the area element. First, let's calculate the partial derivatives: r_u = ⟨cos(v), sin(v), 2u⟩; r_v = ⟨-usin(v), ucos(v), 0⟩. Next, we calculate the cross product: r_u × r_v = ⟨2u^2cos(v), 2u^2sin(v), -u⟩. The magnitude of r_u × r_v is: ||r_u × r_v|| = √((2u^2cos(v))^2 + (2u^2sin(v))^2 + (-u)^2) = √(4u^4 + u^2) = u√(4u^2 + 1).
Now, we can set up the double integral: A = ∬S ||r_u × r_v|| dA = ∫(0 to 1) ∫(0 to 2π) u√(4u^2 + 1) dv du. Evaluating the double integral may involve some calculus techniques. After performing the integration, you will obtain the area of the surface S in the given region [0, 1] × [0, 2π].
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(SAT Prep) In the given figure, a ∥ b. Find the value of z. A. 50° B. 90° C. 45° D. 75°
Answer: The awnser is 45 degrees
Step-by-step explanation:
As you can see there are two z's which equal to 90 degrees and one z eqquals to 45 degrees.
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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Vistaprint offers the first 500 business cards for free. Then each additional set of 500 cards cost $9.99.
A. Write an equation that gives the total cosr (in dollars) of cards, C, in terms of the number (in groups of 500) of business cards, b, ordered.
B. Find the cost of buying 3500 business cards.
If the Vistaprint offers the first 500 business card for free and each additional set of 500 card cost $9.99
Part A
The equation that gives the total cost (in dollars) of card C, in terms of the number(in group of 500) of business cards b ordered is C = 9.99×b -9.99
Part B
The cost of buying 3500 business cards is $59.94
The Vistaprint offers the first 500 business cards for free
The cost of each additional set of 500 cards = $9.99
Part A
Consider the total cost of the card = C
Number of business card in group of 500 = b
Then the equation of the total cost of cards
C = 9.99×b -9.99
Part B
Total number of cards = 3500
Number of cards in group of 500 = 3500/500
= 7
The cost of buying 3500 business card = 9.99×7-9.99
= 69.93-9.99
= $59.94
Hence, If the Vistaprint offers the first 500 business card for free and each additional set of 500 card cost $9.99
Part A
The equation that gives the total cost (in dollars) of card C, in terms of the number(in group of 500) of business cards b ordered is C = 9.99×b -9.99
Part B
The cost of buying 3500 business cards is $59.94
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Solve for the value of e.
Answer:
69
Step-by-step explanation:
1. 180-49=131 (supplementary angle)
2. 2e-7=131 (solve for e)
3. 2e=138 (add to rhs to remove -7)
4. 2e/2 = 138/2 (divide rhs to remove x2)
5. E= 69 (138\2
Answer:
e=62
Step-by-step explanation:
\(49 + 2e + 7 = 180degree \\ 56 + 2e = 180 \\ 2e = 180 - 56 \\ 2e = 124 \\ e = 124 \div 2 \\ e = 64\)
b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)
Ronin kicks a ball over the gate of the first floor balcony. The function h(t)=-36t^2+288t+9 can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet 1. Find the time in Devon which the ball reaches it maximum height
Answer: 4 seconds
Step-by-step explanation:
Given: The function \(h(t)=-36t^2+288t+9\) can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.
Differentiate the given function with respect to t , we get
\(h'(t)=-36(2)t+288=-72t+288\)
Put h'(t)=0
\(\Rightarrow\ -72t+288=0\Rightarrow\ t=\dfrac{288}{72}\\\\\Rightarrow\ t=4\)
Also, \(h''(t)=-72<0\)
By second derivative test, h(t) is maximum at t=4.
Hence, the time in Devon which the ball reaches it maximum height = 4 seconds
Match the correlation to the statement:
I cannot be confident at all.
I can be a little confident; my prediction could be close or way off.
I can be somewhat confident; my predicted value could be close but not exact.
I can be certain that my predicted value will be exact.
-1 -0.645 0 0.347
Also If someone doesnt mind can you please explain this??? I dont understand at all lol.
The correct matching relating the correlation coefficients are given as follows:
0: I cannot be confident at all.0.347: I can be a little confident; my prediction could be close or way off.0.645: I can be somewhat confident; my predicted value could be close but not exact.-1: I can be certain that my predicted value will be exact.What is a correlation coefficient?A correlation coefficient is an index that measures the association between multiple variables.
The closer the absolute value of the correlation coefficient is of 1, the stronger is the association, meaning that the statement has more certainity.
Closer to zero, the correlation coefficient gives no confidence of the assessment, and values above 0.6 are considered as indicating strong correlation.
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In a kickball game, a ball is kicked and travels along a parabolic path. The height h, in feet, of the kickball t seconds after the kick can be modeled by the equation h(t) = −16 t2 + 24t .
a. A fielder runs a route that will allow him to catch the kickball at about 3 ft above the ground. Write an equation that can be used to find when the fielder will catch the ball.
b. Use graphing technology to find out how long the kickball has been in the air when the fielder catches it on its descent. Round to the nearest hundredth.
The equation h(t) = -16t² + 24t is an illustration of a quadratic model
The equation when the fielder catches the ball is -16t² + 24t = 3The fielder will catch the ball after 0.14 seconds or 1.36 secondsThe equation when the fielder catches the ballThe equation that represents the path of the kick ball is given as
h(t) = -16t² + 24t
The fielder catches the ball at a height of 3 ft above the ground.
This means that:
h(t) = 3
So, we have:
-16t² + 24t = 3
Hence, the equation when the fielder catches the ball is -16t² + 24t = 3
How long the ball has been in the air whenIn (a), we have:
-16t² + 24t = 3
Rewrite as:
-16t² + 24t - 3 = 0
Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology
From the graph (see attachment), we have the following solutions
t = 0.14 and t = 1.36
Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds
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What is the shape of the distribution for the following set of data?
X f
5 5
4 3
3 1
2 3
1 5
A)Symmetrical
B)Positively skewed
C)Negatively skewed
D)Normal
The shape of the distribution for the following set of data {X f 5 4 3 2 1 5 3 1 5} is B) Positively skewed.
What is a positively skewed distribution?A positively skewed distribution is a distribution in which the majority of the data falls on the lower side of the scale, with the tail extending to the right side of the scale.
Positive skewness is present in a distribution when the mean is higher than the median.
As a result, the mean is skewed to the right, causing the tail on the right side of the distribution.
As a result, the tail is often referred to as the "positive" tail.
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6-3. Review what you know about graphs as you complete parts (a) through (d) below
a. Find the equation of the line graphed at right.
b. What are its x- and y-intercepts?
d. On the same set of axes, graph a line that is parallel to the line graphed at right and
that goes through the origin (0, 0).
Find the equation of this new line.
The equation of the graph is y = -2x + 1
The intercepts are y = 1 and x = -1/2The parallel equation is y = -1/2xThe equation of the graphFrom the question, we have the following points on the line
(0, 1) and (1, -1)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 1
Using the points, we have
m + 1 = -1
m = -2
So, the equation is y = -2x + 1
The interceptsIn (a), we have
c = 1
This is the y-intercept
For the x intercept, we have
-2x + 1 = 0
This gives
x = 1/2
Plot of a parallel lineParallel lines have equal slopes
This means that the slope must be -1/2
Because the line must go through (0, 0), the equation is y = -1/2x
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what equation represents the line that passes through points (1,-5) and (3, -17)
The equation of the line passing through the points (1,-5) and (3, -17) is y = -6x + 1.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points are (1,-5) and (3, -17)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
m = -17 + 5 / 3 - 1
m = -6
The equation of the line is given as
y - y₁ = m (x - x₁)
y + 5 = -6 (x -1)
y = -6x + 1
Thus, the equation of the line passing through the points (1,-5) and (3, -17) is y = -6x + 1.
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help me quickly please
Answer:
no question
Step-by-step explanation:
Answer:
4^-3
Step-by-step explanation:
Formula : -
a^m x a^n x a^k = a^( m + n + k )
Here,
a = 4
m = - 8
n = - 1
k = 6
4^-8 x 4^-1 x 4^6
= 4^( - 8 + ( - 1 ) + 6 )
= 4^( - 8 - 1 + 6 )
= 4^( - 9 + 6 )
= 4^-3
Provide numerical measures of individuals. The values of a quantitative variable can be added or subtracted and provide meaningful results.
Quantitative variables offer measurable numerical values that can be added to or subtracted from to produce accurate results. Quantitative discrete variables have a finite or countable number of positive values.
Continuous variables are quantitative and have an endless range of uncountable possible values. Discrete and continuous data are both types of quantitative or numerical information. Measurements are often continuous, while counts are typically discrete. Discrete data are counts that can never be more precisely calculated. Usually, this entails integers.
A family's number of children would serve as an illustration. Individuals are complete, indivisible entities, hence this data is discrete. A family does not contain 1.7 or 2.3 children.
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a few drops of a mg-edta reagent are used in this experiment to sharpen the endpoint. suppose you were working with a lab partner, who misread the instructions to the experiment and accidentally pipetted 10 ml of this reagent to the solution. must you start over with a new sample? if you must start over, explain what sort of error (systematic or random) you believe will be introduced to the measurement based on the mistake and what shift, if any, might result in the measured hardness of water of the sample?
Yes, you must start over with a new sample in the experiment, since the addition of 10 ml of the Mg-EDTA reagent will cause a systematic error.
A systematic error is when there is an error in the measurement system that causes readings to differ from the actual value in a predictable manner. When 10 ml of the Mg-EDTA reagent is added to the solution instead of a few drops, it will lead to a significant change in the hardness of the water.
Since the amount of the reagent added is significantly more than what is required, the endpoint will be reached at a different point than what was initially intended. This will, in turn, affect the measured hardness of water of the sample.
What is the Magnesium Ethylenediaminetetraacetic acid? Magnesium ethylenediaminetetraacetic acid is an intricate amino acid that is used in water hardness testing. It has a strong capacity to chelate magnesium ions, which are the source of water hardness.
The compound is utilized as a standard water hardness testing reagent because it can react with the calcium and magnesium ions found in hard water. Magnesium ethylenediaminetetraacetic acid is used to measure water hardness by titration with a solution of magnesium ethylenediaminetetraacetic acid.
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ill give brainliest please help
Answer:
x= -1 y= -5
There for: (x, y). (-1,-5).
Step-by-step explanation:
Step one:
y=y
5x=9x+4
5x-9x=4
-4x=4
x= -1
Step two:
y=5x
y= 5(-1)
y= -5
Hope u find this helpful
Step-by-step explanation:
y=5x
y=9x+4
Substituting value of x in equation 2
y=9x+4
5x=9x+4
5x-9x=4
-4x=4
so x = -1
again
y=5x
y=5 * (-1)
so y = -5.
Given the above VSM, under the following operating
conditions:
Hours per shift: 8
Break minutes per shift: 30
Break Number per Shift: 2
Shifts per day: 3
Days per week: 5
Weekly Demand = 10,500 units
Annual Production Plan Metallservice Weekly Recieving Milling 5 Days C/T = 2 min C/O = 60 min Uptime = 74% 5 days 10 days 2 min. Note: C/T = Cycle Time; C/0= Changeover Time Weekly Delivery Schedule W
Based on the provided information, let's calculate the production capacity and determine if it meets the weekly demand of 10,500 units.
Operating conditions: Hours per shift: 8
Break minutes per shift: 30
Break Number per Shift: 2
Shifts per day: 3
Days per week: 5. To calculate the total production time per week, we need to subtract the break time from the available shift hours: Total production time per shift = Hours per shift - Break minutes per shift
Total production time per day = Total production time per shift * Shifts per day. Total production time per week = Total production time per day * Days per week. Total production time per shift = 8 - 30 = 7.5 hours = 450 minutes. Total production time per day = 7.5 * 3 = 22.5 hours = 1350 minutes. Total production time per week = 1350 * 5 = 6750 minutes.
Next, let's calculate the production capacity based on the provided cycle time and changeover time: Cycle Time (C/T) = 2 minutes
Changeover Time (C/O) = 60 minutes
Production capacity per hour = 60 / (C/T + C/O) = 60 / (2 + 60) = 0.952 units/minute. Production capacity per day = Production capacity per hour * Total production time per day = 0.952 * 1350 = 1285.2 units. Production capacity per week = Production capacity per day * Days per week = 1285.2 * 5 = 6426 units. Comparing the weekly production capacity of 6426 units with the weekly demand of 10,500 units, we can see that the production capacity is less than the demand. Therefore, the production plan is not able to meet the weekly demand of 10,500 units.
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Tolong ka yang bisa jawab:)
Answer:
1) 5/8
\(\frac{5}{8} rad = 35.809\textdegree\) or (atau) \(\frac{5}{8} \pi rad = 112.5\textdegree\)
2) a. 75° b. 132°
\(75\textdegree = 1.308\) \(rad\) or (atau) \(75\textdegree = 0.41\overline{6}\) \(\pi\) \(rad\)
\(132\textdegree = 2.303\) \(rad\) or (atau) \(132\textdegree = 0.7\overline{3}\) \(\pi\) \(rad\)
There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there?
Answer:
There are 5 ducks
Step-by-step explanation:
2 ducks behind
1 duck in the middle
2 ducks infront
WHAY IS THE FULL FORM OF ANFA ?
Here is ur answer
The All Nepal Football Association (ANFA)
Answer:
This is what I found:
The All Nepal Football Association (ANFA)
Which list shows the numbers in order from
greatest to least
A. 32.25, 322 32.5, 32
B. 323, 32.25,325, 32
C. 32, 325,32.25, 32
D. 323, 325,324 32.25
Answer:
A
Step-by-step explanation:
Please help me nowww!
Answer:
3:1
Step-by-step explanation:
The squirrel tore up 3 of the sleeping bags and one was left untouched.