The cube shown has side length 0.7 metres.
0.7 m
Work out the total surface area of the cube.
Give your answer in square centimetres.
Note: Please make sure your final answer shows the correct unit
cm
Answer:
294cm
Step-by-step explanation:
6 × a² (length of side)
6 × 0.7²
6 × 0.7 × 0.7 = 2.94m
Final answer = 294cm.
name a chord shown in this diagram.
Answer:
R to S
Step-by-step explanation:
y = x + 3
y = 2x + 5
7 - n=15 whats the answer
Answer:
answer : 22
Step-by-step explanation:
7 - n = 15
n = 15 + 7
n = 22
What are the 5 most important components in test plan?
The 5 most important components in test plan are:
Scope, Schedule, Resource Allocation, Environment and Tools.
Now, According to the question:
What is a Test Plan?
A Test Plan is a detailed document that catalogs the test strategies, objectives, schedule, estimations, deadlines, and resources required to complete that project. Think of it as a blueprint for running the tests needed to ensure the software is working correctly – controlled by test managers.
Components of a Test Plan
Scope: Details the objectives of the particular project. Also, it details user scenarios to be used in tests. The scope can specify scenarios or issues the project will not cover if necessary.Schedule: Details start dates and deadlines for testers to deliver results.Resource Allocation: Details which tester will work on which test.Environment: Details the test environment‘s nature, configuration, and availability.Tools: Details what tools will be used for testing, bug reporting, and other relevant activities.Learn more about Test plan at:
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Can anyone help me with this?
\(Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.\)
6x7!!!!!!!!!!!!!!!!!
Answer:42
Step-by-step explanation:
Hi there! So I think you're asking for 6 x 7. That's 42.
6 + 6 + 6 + 6 + 6 + 6 + 6
That's 6, written seven times.
7 + 7 + 7 + 7 + 7 + 7
That's 7, written six times.
Solving these, both are 42. You can use this method if you're ever needing to do a quick problem. Then you'll just memorize it! :D
calculate the side lengths using the given scale.
Answer:
x = 9 m
y = 1 m
Step-by-step explanation:
6/1 = x/1.5
x = 1.5 × 6
x = 9
6/1 = 6/y
6y = 6
y = 1
Q. A bag contains 5 quarters, 2 dimes, and 4
pennies. What is the probability of picking
quarter?
Answer:
5/11
Step-by-step explanation: hope it helps!
I need help finding the slope!!!!!!!!!
The slope on the given graph is 2.
Given,
A graph is given in the figure.
We need to find the slope of the graph.
What is a slope in a graph?A slope is a measure of its steepness.
It is given by:
We need to find two points on the graph.
Example: Two points are - (a,b) and (c,d)
Slope = (d - b) / (c - a)
Find two points from the graph.
We have,
(1.5, 0) and (0, -3)
Now, the slope of the given line function can be written as shown below.
Slope
= (-3 - 0) / (0 - 1.5)
= -3 / -1.5
= 2
Thus, the slope on the given graph is 2.
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10.85 . ((1.7) =
answers:
1. 18.445
2. 12.55
3. 20.29
4. 1.845
Answer:
18.445
Step-by-step explanation:
Multiply
pls i need help!!!! will give brainliest also i will report spamming
Answer:
4+(n-1)*6= -2n+4
Step-by-step explanation:
Answer:
4+(n-1)*6= -2n+4
Step-by-step explanation:
pls brainliest i need 1 more to rank up I spent 5 minutes for this!
Select all expressions that are equivalent to
2x + 5(–4x + 10) - (x + 4).
Show your work in the sketch pad that supports your
answer.
(Select all that apply.)
27x + 54
-19x + 46
2x - 30x + 50 - x - 4
2x + 30x + 50 - x +4
2x + 5(–4x + 10) - (x + 4).
-4+10=14
x+4=5-9
2x+5=7x
7+9=18
18-14=4
4 is your answer
How do you write 156 in scientific notation?
Answer:
Why is 156 written as 1.56 x 10^2 in scientific notation?
Step-by-step explanation:
estimate each quantity in terms of powers of ten, as in example 1. (a) 290 (b) 460
a. We can estimate 290 as \(2.90 \times 10^2.\)
B. We can estimate 460 as 4.60 x 10^2.
To estimate each quantity in terms of powers of ten, we can express each number in scientific notation.
a) 290 can be written as\(2.90 \times 10^2\).
The first digit is 2, which is between 1 and 10.
The decimal point is after the first digit, so we have one non-zero digit to the left of the decimal point.
We need to move the decimal point two places to the left to get a number between 1 and 10, which gives us 2.90.
The exponent is 2, which means we need to multiply our number by \(10^2\) to get the original value of 290.
Therefore, we can estimate 290 as \(2.90 \times 10^2.\)
b) 460 can be written as\(4.60 \times 10^2\)
The first digit is 4, which is between 1 and 10.
The decimal point is after the first digit, so we have one non-zero digit to the left of the decimal point.
We need to move the decimal point two places to the left to get a number between 1 and 10, which gives us 4.60.
The exponent is 2, which means we need to multiply our number by \(10^2\) to get the original value of 460.
Therefore, we can estimate 460 as \(4.60 \times 10^2.\).
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When we estimate a quantity in terms of powers of ten, we're essentially trying to express that quantity as a multiple of 10 raised to some power. For example, we could estimate 290 as 3 x 10^2, since 3 is the first digit and there are two other digits after it.
(a) For 290, we can estimate it to the nearest power of ten as follows:
Step 1: Identify the nearest powers of ten: 100 (10^2) and 1000 (10^3)
Step 2: Determine which power of ten is closer to 290: Since 290 is closer to 100 than 1000, we'll choose 100 (10^2).
(b) For 460, we can estimate it to the nearest power of ten as follows:
Step 1: Identify the nearest powers of ten: 100 (10^2) and 1000 (10^3)
Step 2: Determine which power of ten is closer to 460: Since 460 is closer to 1000 than 100, we'll choose 1000 (10^3).
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Please help Consider this function.
f(x) = blog,
3
-
Over which interval is function fincreasing at the greatest rate?
Since the function is decreasing over the entire domain (b > 1), there is no interval over which the function is increasing at the greatest rate.
Given function is, f(x) = blog(3 - x)
Here, b is the base of the logarithm.
Let's assume b > 1, so that the function is logarithmic increasing over its domain.
Using chain rule, we can find the derivative of f(x) as below: f'(x) = [d/dx] (blog(3 - x))
= 1/(ln(b)(3 - x)) * [d/dx] (3 - x)
= -1/(ln(b)(3 - x))
Consider this function. f(x) = blog, 3 - Over which interval is function increasing at the greatest rate?
Here, we need to find the interval over which function f(x) is increasing at the greatest rate.
Since the function is decreasing over the entire domain (b > 1), there won't be any interval over which the function is increasing at the greatest rate.
Therefore, the answer is "There is no interval over which the function is increasing at the greatest rate In mathematics, functions are one of the most fundamental objects and building blocks for more complex objects and equations.
A function is a mathematical expression or rule that maps an input value or a set of values to an output value or a set of values.
A function is typically represented in the form f(x) = y, where x is the input variable, y is the output variable, and f is the function itself. The behavior and properties of a function can vary depending on its definition and mathematical properties.
In this question, we have a logarithmic function f(x) = blog(3 - x), where b is the base of the logarithm.
The domain of the function is limited to (0, 3) since the argument of the logarithm must be positive. To find the rate of change of the function or the slope of the tangent line at any point, we need to find the derivative of the function.
Using the chain rule and the properties of logarithmic functions, we can find the derivative as f'(x) = -1/(ln(b)(3 - x)).
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an urn contains green balls and blue balls. a second urn contains green balls and blue balls. a single ball is drawn at random from each urn. the probability that both balls are of the same color is . find .
The second urn contains 16 green balls and 46 blue balls.
Let's first find the probability of drawing two green balls, which we'll denote as P(G,G).
We can break it down into two cases:
Case 1: A green ball is drawn from the first urn and a green ball is drawn from the second urn.
The probability of drawing a green ball from the first urn is 4/10, and the probability of drawing a green ball from the second urn is 16/(16+N). Therefore, the probability of this case is (4/10) x (16/(16+N)).
Case 2: A blue ball is drawn from the first urn and a blue ball is drawn from the second urn.
The probability of drawing a blue ball from the first urn is 6/10, and the probability of drawing a blue ball from the second urn is N/(16+N). Therefore, the probability of this case is
(6/10) x (N/(16+N))
The probability of drawing two balls of the same color is the sum of the probabilities of these two cases, which we know to be 0.58:
P(G,G) + P(B,B) = 0.58
We can solve for P(G,G) as follows:
P(G,G) = 0.58 - P(B,B)
= 0.58 - (6/10) x (N/(16+N))
Now, we can set P(G,G) equal to the probability of drawing two green balls from the urns that we found earlier:
(4/10) x (16/(16+N)) = 0.58 - (6/10) x (N/(16+N))
By simplifying this equation, we get:
64 = 58(16+N) - 60N
By solving for N, we get:
N = 46
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Question:
An urn contains 4 green balls and 6 blue balls. A second urn contains 16
green and N blue balls. A single ball is drawn at random from each urn. The probability that both balls are of the same colour is 0.58. Find N.
a car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall during week three of the recall the manufacturer fix 391 calls in week 13 the manufacture affect fixed three 361 assume the reduction in the number of calls each week is liner write an equation in function form to show the number of calls in each week by the mechanic
Answer:
To write the equation in function form for the number of calls in each week by the mechanic, we can use the concept of linear reduction.
Let's assume:- Week 3 as the starting week (x = 0).
- Week 13 as the ending week (x = 10).
We have two data points:- (x1, y1) = (0, 391) (week 3, number of calls fixed in week 3)
- (x2, y2) = (10, 361) (week 13, number of calls fixed in week 13)
We can use these two points to determine the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.
First, calculate the slope (m):
m = (y2 - y1) / (x2 - x1)
= (361 - 391) / (10 - 0)
= -3
Next, substitute the slope (m) and one of the data points (x1, y1) into the equation y = mx + b to find the y-intercept (b):
391 = -3(0) + b
b = 391
Therefore, the equation in function form to show the number of calls in each week by the mechanic is:
y = -3x + 391
Where:- y represents the number of calls in each week fixed by the mechanic.
- x represents the week number, starting from week 3 (x = 0) and ending at week 13 (x = 10).
I don’t not know the answer
B(t) = 16 + 7t is the best equation that should be used to model the problem
How to model the problemWe can see that the number of branches generally increases over time, but the rate of increase seems to slow down as time goes on. This suggests that an exponential model might not be appropriate, as exponential growth would imply a constant rate of increase over time.
Of the given options, the model that seems to best fit the data is B(t) = 16 + 7t. This is a linear model, which fits with the trend of the data that shows a steady increase in the number of branches over time.
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The daily cost of production in a factory is calculated using c(x)= 200+16x, where x is the number of complete products manufactured. Find the average rate of change between 5 and 8 conpleted products manufactured
A: -1/16
B: 3
C: 16
D: 48
Answer:
D: 48
Step-by-step explanation:
Daily cost of production; c(x) = 200 + 16x
when the number of complete products manufactured is 5, the cost is:
c(5) = 200 + 16(5)
= 200 + 80
= 280
c(5) = 280
When the number of complete products manufactured is 8, the cost is:
c(8) = 200 + 16(8)
= 200 + 128
= 128
c(8) = 328
Average rate of change = c(8) - c(5)
= 328 - 280
= 48
Thus, the average rate of change is 48.
0.45 is the result of finding the product of 3 and 1/2 minus a number. What is the number?
7/20
19/60
−1/60
−1/20
Answer: c
Step-by-step explanation:
Draw a figure that has four collinear points
Step-by-step explanation:
draw a straight line then put four points on the straight line
What is the area of a rectangle with a length of 214 inches and a width of 234 inches?
714 in²
6316 in²
4316 in²
3332 in²
Applying the Expression for Area of rectangle, the Area was found to be
50076 in²
Given Data
Length of rectangle = 214 inches
Width of rectangle = 234 inches
By Applying the Formula for the Area of a rectangle we have
Area of rectangle = Length * Width
Substitute our Given Data
Area of rectangle = 214*234
Area of rectangle = 50076 in²
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50 points!!! Will mark brainliest if correct!! Pls help me!!
Answer:
3rd option is correct, give me brainiest
Which inequality is shown in the graph?
Answer: D
Step-by-step explanation:
I don’t know how to explain this to you step by step but when it comes to questions like this try to think more “logically” (if that makes sense) especially if you’re not familiar with the topic, like me. Think about it, if it was the first one the line on the graph would be above the middle line (its addition plus its greater than y so that wouldn’t be correct). Now the second one is subtraction but its less than y and everything thats coloured goes up not down so it has to be greater than y. C is not the correct answer because its a regular equation and thats not what the question wants plus its the only question out of the the 4 answers which is completely the odd one out so you can just cancel that out. Mow we come to the last answer which is the correct answer because it follows all the right “points” I mentioned earlier. I hope this makes sense to you, sorry I couldn’t explain it better!
an organization will give a prize to a local artist. the artist will be randomly chosen from among 7 painters, 4 sculptors, and photographers. what is the probability that the artist chosen will be a painter or a 5 photographer? write your answer as a fraction.
The probability that the artist chosen will be a painter or a photographer is 3/4
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
To solve this exercise the formula and the procedure that we have to use for probability is:
probability= (achieving success / possible outcomes)
Achieving success = 7 painters + 5 photographer = 12
Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16
Applying the formula to calculate the probability we get:
probability= (achieving success / possible outcomes)
probability= 12/16
Simplifying:
probability= 3/4
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Suppose that an investment has 0.5% chance of a loss of $10
million and a 99.5% chance of a loss of $1 million. What is the
Value-at-Risk (VaR) for this investment when the confidence level
is 99%
To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).
Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:
Loss Amount | Probability
$10 million | 0.5%
$1 million | 99.5%
To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.
The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.
Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.
The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.
To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.
Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:
VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)
VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)
VaR = $50,000 + $995,000
VaR = $1,045,000
Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.
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HELP ASAP Which equation matches the following situation: A shirt, x, is discounted 20%; what is the sale price?
y = 1.02x
y = (1 - 0.2)x
y = 1.2x
y = 0.02x
Answer:
D
Step-by-step explanation:
Aika is building a square garden. She places a garden post at (3.5, 3.5). What is the location of the corner that reflects (3.5, 3.5) across the y-axis? (Example 2)
The coordinate point (3.5, 3.5), the reflection of the coordinate across the y-axis will form a pre image at (-3.5, 3.5)
Reflection of coordinatesIf a coordinate (x,y) is reflected across the y-axis, the equivalent coordinate points will be given as (-x, y).
Using the translation for the reflections;
\((x,y) \rightarrow (-x, y)\)Give the coordinate point (3.5, 3.5), the reflection of the coordinate across the y-axis will form a pre image at (-3.5, 3.5)
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Answer:hahaha
Step-by-step explanation:
nanana
mark looked at the statistics for his favorite baseball player, jose bautista. mark looked at seasons when bautista played 100 or more games and found that bautista's probability of hitting a home run in a game is 0.173. if mark uses the normal approximation of the binomial distribution, what will be the variance of the number of home runs bautista is projected to hit in 100 games? answer choices are rounded to the tenths place.
14.3 is probability of the variance of the number of home runs bautista is projected to hit in 100 games.
How does probability explain work?
Probability measures how probable something is to occur.We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.Statistics is the study of events subject to probability.Given: n = 100
p = 0.173
Variance = np(1-p)
= 100*0.173*0.827
= 14.3071
Therefore, the variance to two decimal places is
= 14.3.
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