(0.4+8(5 - 0.8 x 5/8)- 5 / 2 1/2) /( 1 7/8 x 8-(8.9- 2.6 / 2/3)x34 2/5)90
Answers
Answer:
\( - \frac{86}{35325} \)
Step-by-step explanation:
\( \frac{(0.4 + 8(5 - 0.8 \times \frac{5}{8} ) -5 \div 2\frac{1}{2})}{(1 \frac{7}{8} \times 8 - (8.9 - 2.6 \div \frac{2}{3}) \times 34 \frac{2}{5} )90 } \)
First, let's find the numerator and denominator separately:
Numerator:
\(0.4 + 8(5 - 0.8 \times \frac{5}{8} ) - 5 \div 2\frac{1}{2}\)
\(0.4 + 8(5 - \frac{8}{10} \times \frac{5}{8} ) - 5 \div \frac{5}{2} \)
\(0.4 + 8(5 - \frac{5}{10} ) - 5 \times \frac{2}{5} \)
\(0.4 + 8(5 - \frac{1}{2} ) - 2\)
\(0.4 + 8(5 - 0.5) - 2\)
\(0.4 + 36 - 2 = 34.4\)
Denominator:
\(({1 \frac{7}{8} \times 8 - (8.9 - 2.6 \div \frac{2}{3}) \times 34 \frac{2}{5} ) \times 90 } \)
\( (\frac{15}{8} \times 8 - (8.9 - 2.6 \times \frac{3}{2} ) \times \frac{172}{5} ) \times 90\)
\((15 - (8.9 - 2.6 \times 1.5) \times \frac{172}{5} ) \times 90\)
\((15 - 5 \times \frac{172}{5} ) \times 90\)
\((15 - 172) \times 90\)
\( - 157 \times 90 = - 14130\)
Now, let's write these two numbers in a fraction:
\( \frac{34.4}{ - 14130} = - \frac{86}{35325} ≈ - 0.0024\)
I don't know if I got it right, though, there was a lot of things to do here...
Related Questions
a bag contains 3 red sweets and 5 green sweets. Tim takes a sweet at random and eats it. he then takes another sweet. what is the probability that Tim takes 2 red sweets
Answers
Answer:25% chance
Step-by-step explanation:
easy
PART 2 : Show your work for the equation gives the exact answer do not approximate :)
Answers
The value of x is equal to 0.660441.
what is the logarithmic function?In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as For x > 0, a > 0, and a ≠1, y= logₐ x if and only if x = a^y Then the function is given by f(x) = logₐ x The base of the logarithm is a. This can be read it as log base a of x.
Given here: The exponential function 2(3e)ˣ=8
Simplifying further we get, (3e)ˣ=4
Taking log both sides we get x (ln3+1)=ln4
x×2.0986=1.386
x=0.660441
Hence, The value of x is equal to 0.660441.
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what is the variance of the number of heads that come up when a fair coin is flipped 13 times? (enter the final answer in decimal format and round to one decimal place.)
Answers
The variance of the number of heads that come up when a fair coin is flipped 13 times is 3.25
What is probability ?Mathematical representations of the likelihood of an event occurring or of a statement being true are dealt with in the area of probability. An outcome's probability is a number between 0 and 1, where 1 denotes certainty and 0 denotes the event's impossibility.
CalculationHere, flipping a coin is a Bernoulli trial, with n =13, with success as getting a head with probability p = 1/2.
We have to find the variance of the number of success in n Bernoulli trials. The variance of the number of successes in n Bernoulli trials is np(1-p).
the variance np \((1-p)=13\cdot (1/2)\cdot (1-1/2)=13\cdot (1/2)\cdot (1/2)= 3.25\)
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Solve the inequalities by graphing. Identify the graph that shows the following equations. 2 x + y > 3 x < 1
Answers
To graph the inequality 2x + y > 3, we can first graph the boundary line 2x + y = 3. To do this, we can find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x:
When x = 0, 2(0) + y = 3, so y = 3. The point (0, 3) is on the line.
When y = 0, 2x + (0) = 3, so x = 3/2. The point (3/2, 0) is on the line.
Plotting these two points and connecting them with a straight line gives us the boundary line:
| /
| /
| /
| /
| / 2x + y = 3
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|/_____________
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3/2 |
|
Now, to determine which side of the line satisfies the inequality, we can pick a test point that is not on the line, such as (0, 0). Substituting x = 0 and y = 0 into the inequality gives:
2(0) + 0 > 3
This is clearly false, so the point (0, 0) is not in the solution set. Since the inequality is a strict inequality (>) rather than a non-strict inequality (≥), the solution set does not include the boundary line. Therefore, the solution set consists of the region above the boundary line:
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3/2 |
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| / |
| / |
| / |
| / |
| / |
| / |
| /________________|______________
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x=1
Now, to graph the inequality x < 1, we simply draw a vertical line at x = 1, and shade in the region to the left of the line:
|
3/2 |
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| / |
| / |
| / |
| / |
| / |
| / |
| /________________|______________
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x=1
|
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x<1
The region that satisfies both inequalities is the shaded region that is above the line 2x + y = 3 and to the left of the line x = 1:
|
3/2 |
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| / |
| / |
| / |
| / |
| / |
| / |
| /________________|______________
| |
| |
| x<1
|
2x+y>3
The graph that shows this solution is the third graph from the left.
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A new car is available in a sedan model and
a hatchback model. It is available in eight
different colors. Customers can choose to
add any combination of four optional
features.
A) 308 B) 369
C) 256
D) 358
Answers
The correct answer for the total number of configurations is not listed among the options A, B, C, or D. Customers can choose any combination of four optional features.
In the given scenario, we have a new car that comes in two models: sedan and hatchback. Additionally, there are eight different colors to choose from, and customers have the option to add any combination of four optional features. The question asks for the total number of possible configurations considering all these choices.
To find the total number of configurations, we need to consider the choices for each category and multiply them together.
Model:
Since the car is available in two models (sedan and hatchback), we have 2 choices for the model.
Color:
There are eight different colors available for the car. Since the color choice is independent of the model, we still have 8 choices for the color.
Optional features:
Customers can choose any combination of four optional features. Since there are no restrictions on the selection, we can consider it as a combination problem. The number of ways to choose r items from a set of n items is given by the formula nCr = n! / (r!(n-r)!). In this case, we want to choose 4 features from a set of available features. So, we have 4C4 = 4! / (4!(4-4)!) = 1.
To find the total number of configurations, we multiply the number of choices for each category together:
Total configurations = (Number of models) x (Number of colors) x (Number of optional features)
= 2 x 8 x 1
= 16.
Therefore, there are a total of 16 possible configurations for the new car, considering the choices for the model, color, and optional features.
Based on the options provided, none of them matches the correct answer. The correct answer for the total number of configurations is not listed among the options A, B, C, or D.
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Write a paragraph proof that 1+1=2
(Fun fact: it took over 72 pages just to prove that 1+1=2)
Answers
Answer:
The theorem here is essentially that
if a and 3 are disjoint sets with
exactly one element each, then their
union has exactly two elements. ...
Peano shows that it's not hard to
produce a useful set of axioms that
can prove 1+1=2 much more easily
than Whitehead and Russell do.
Complete the table, then use the results to find the slope of the graph of the equation. 4x + 7y = 28 X l Y 0 0Slope =
Answers
Given:
\(4x+7y=28\)To fill the table:
Explanation:
Substituting x = 0 in the given equation we get,
\(\begin{gathered} 7y=28 \\ y=4 \end{gathered}\)Substituting y = 0 in the given equation we get,
\(\begin{gathered} 4x=28 \\ x=7 \end{gathered}\)So, the points are
\((0,4),(7,0)\)Using the points, let us find the slope of the line.
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0-4}{7-0} \\ m=\frac{-4}{7} \end{gathered}\)Therefore, the slope for the given equation is,
\(m=\frac{-4}{7}\)Final answer:
• When x = 0; y becomes 4.
,• When y = 0; x becomes 7.
And
• The slope for the given equation is,
\(m=\frac{-4}{7}\)2(3a-2)+4a can some one please help me on this need step by step
Answers
Answer:
\(10a-4\)
Step-by-step explanation:
\(2(3a-2)+4a=(6a-4)+4a=10a-4\)
Find the value of I that makes 11 || 12.ISes4.es65rencesorationse Drive265
Answers
ANSWER
\(x=115\degree\)EXPLANATION
We want to find the value of x that makes l₁ parallel to l₂.
To find the value of x, we can use the sum of angles on a straight line. The sum of angles on a straight line is 180 degrees.
The transversal passes through l₂ and divides it into x and 65 degrees which means that:
\(x+65=180\)Solve for x:
\(\begin{gathered} x=180-65 \\ x=115\degree \end{gathered}\)That is the value of x.
9/4 / 3/4 help please I need explanations
Answers
Given the below expression;
\(\frac{9}{4}\frac{.}{.}\frac{3}{4}\)To be able to solve this, we'll need to change the division sign to multiplication sign and find the reciprocal of the denominator;
\(\begin{gathered} \frac{9}{4}\ast\frac{1}{\frac{3}{4}} \\ \frac{9}{4}\ast\frac{4}{3} \end{gathered}\)Let's go ahead and simplify;
\(\begin{gathered} \frac{9}{1}\ast\frac{1}{3} \\ \frac{9}{3}=3 \end{gathered}\)Therefore, our answer is 3.
answer correctly please take ur time and i will give you brainliest
Answers
Answer:
15
Step-by-step explanation:45-30 OVER 3-2= 15
on a farm 14 of the goat are male and 11 of the goat are female what is the percentage
Answers
Answer:
56% for female and 44% for male
Step-by-step
Look at the image
Is a conditional equation , an identity or a contradiction ?
Answers
A conditional equation is neither an identity nor a contradiction. It is a statement that is only true under certain conditions.
A conditional equation is an equation that expresses a condition. It has two parts: a hypothesis (or antecedent) and a conclusion (or consequent). The hypothesis states that a certain condition must be met in order for the conclusion to be true. For example, the equation "if x = 4, then x + 1 = 5" is a conditional equation. If the condition (x = 4) is true, then the conclusion (x + 1 = 5) is also true. However, if the condition is false, then the conclusion is also false. Therefore, a conditional equation is neither an identity nor a contradiction, but rather a statement that is only true under certain conditions.
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there are two lotteries one is 4000 tickets sold and the other is
1000 tickets sold. if a man buys 100 tickets in each lottery what
are his chances of winning at least one first price?
Answers
The man's chances of winning at least one first prize in each lottery, given that he buys 100 tickets in each lottery, is approximately 0.1643 or 16.43%
To calculate the man's chances of winning at least one first prize in each lottery, we can use the concept of complementary probability.
First, let's calculate the probability of not winning the first prize in each lottery:
For the first lottery:
The probability of not winning the first prize with 100 tickets is:
P(not winning first prize in the first lottery) = (3999/4000)^100
For the second lottery:
The probability of not winning the first prize with 100 tickets is:
P(not winning first prize in the second lottery) = (999/1000)^100
Next, we can calculate the probability of winning at least one first prize in each lottery by subtracting the probabilities of not winning from 1:
For the first lottery:
P(winning at least one first prize in the first lottery) = 1 - P(not winning first prize in the first lottery)
For the second lottery:
P(winning at least one first prize in the second lottery) = 1 - P(not winning first prize in the second lottery)
Since these are independent lotteries, we can multiply the probabilities of winning at least one first prize in each lottery to find the overall probability:
P(winning at least one first prize in each lottery) = P(winning at least one first prize in the first lottery) * P(winning at least one first prize in the second lottery)
Now we can calculate the probabilities:
For the first lottery:
P(not winning first prize in the first lottery) = (3999/4000)^100 ≈ 0.7408
P(winning at least one first prize in the first lottery) = 1 - 0.7408 ≈ 0.2592
For the second lottery:
P(not winning first prize in the second lottery) = (999/1000)^100 ≈ 0.3660
P(winning at least one first prize in the second lottery) = 1 - 0.3660 ≈ 0.6340
Overall probability:
P(winning at least one first prize in each lottery) = 0.2592 * 0.6340 ≈ 0.1643
Therefore, the man's chances of winning at least one first prize in each lottery, given that he buys 100 tickets in each lottery, is approximately 0.1643 or 16.43%
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osmium has a density of 22.6 g/cm 3. what volume (in cm 3) would be occupied by a 21.8 g sample of osmium?
Answers
a 21.8 g sample of osmium would occupy a volume of approximately 0.9646 cm³.
To calculate the volume occupied by a sample of osmium, we can use the formula:
Volume = Mass / Density
Given:
Mass = 21.8 g
Density = 22.6 g/cm³
Substituting these values into the formula:
Volume = 21.8 g / 22.6 g/cm³
Simplifying:
Volume = 0.9646 cm³
what is volume?
Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It quantifies the extent or capacity of an object or substance in terms of how much space it occupies.
In mathematical terms, volume is typically measured in cubic units (such as cubic meters, cubic centimeters, or cubic inches). It is calculated by multiplying together the three dimensions of the object (length, width, and height) or by using specific formulas depending on the shape of the object.
For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a cylinder can be calculated using the formula πr²h, where r is the radius of the base and h is the height.
Volume is an essential measurement in various fields such as physics, engineering, chemistry, and everyday life. It helps determine capacities, quantities, displacements, and the amount of space occupied by objects or substances.
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Given pr // st. pr = 7 cm. ts = 3cm tq = 5cm what the length of pt
Answers
The question is an illustration of parallel lines, and equivalent ratios
The length of pt is 11.7 cm
Given that:
\(pr = 7cm\)
\(ts =3cm\)
\(tq = 5cm\)
This means that:
\(pr : ts = pt : tq\)
Substitute values for pr, ts and tq
\(7cm : 3cm =pt : 5cm\)
Express the ratios as fractions
\(\frac{7cm }{ 3cm }= \frac{pt}{5cm }\)
Cancel out the common units
\(\frac{7}{ 3}= \frac{pt}{5cm }\)
Cross multiply
\(3pt = 35cm\)
Divide both sides by 3
\(pt = 11.7cm\)
Hence, the length of pt is 11.7 cm
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help me with this ques. (need solution and answer both) thanks so much <3
Answers
Answer:
1.) 27a^11 + 18a^9 -72a^7
2.) 6p^4q^3 - 10p^3q + 4p^2q3
Step-by-step explanation:
1.) Distribute and do the math
-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2
27a^11 + 18a^9 -72a^7
2.) Distribute and do the math
2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2
6p^4q^3 - 10p^3q + 4p^2q3
Elliot is paid $12.50 an hour for regular time work. He is paid time and a half for any work over 40 hours from Monday through Friday. Elliot is paid double time any hours worked on the weekend. A. What is Elliots time and a half pay rate? B. What is his double time pay rate?
Answers
A) multiply his hourly rate by 1.5
12.50 x 1.5 = $18.75
B) double time is 2 times. Multiply his hourly rate by 2:
12.50 x 2 = $25
For the functions g and f simplify the following expressions. f(x) = 2x - 4
g(x)=4/x-1
fºg gºf
Answers
Answer:
Step-by-step explanation:
Select the correct answer. Positive Test Negative Test Subject is diabetic 35 3 Subject is not diabetic 5 28 A test subject is randomly selected for a diabetes test. What is the probability of getting a subject who is not diabetic, given that the test result is negative? Find the probability using the data table. A. 0.10 B. 0.12 C. 0.50 D. 0.90
Answers
The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.
To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.
To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).
Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result
Probability = 5 / 28
Simplifying this fraction, we get:
Probability ≈ 0.1786
Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.
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A case of 24 water bottles contains 192 total ounces of water how many ounces are in each water bottle
Answers
Answer:
8 ounces per bottle
Step-by-step explanation:
192÷24=8
you have 192 and you spit it evenly as possible between 24 bottles of water. When doing that you get 8 ounces per bottle
Answer:
8 ounces
Step-by-step explanation:
You just have to divide 192 by 24 and you get 8.
Leroi and Sylvia both put $300 in a savings account. Leroi decides he will put in an additional $60 each week. Sylvia decides to put in an additional 20% of the amount in the account each week. Complete the sentence to answer the question.
Answers
Answer: See explanation
Step-by-step explanation:
Here is the remainder of the question:
a. Who has more money after the first additional deposit? Explain.
b. Who has more money after the second additional deposit?
a. Amount put in savings account = $300
Leroi's amount after first week = $300 + $60 = $360
Sylvia's amount after first week = $300 + (20% × $300) = $300 + (0.2 × $300) = $300 + $60 = $360
They both have equal amount after the first week.
b. After the second deposit,
Leroi's saving = $360 + $60 = $420
Sylvia's saving = $360 + (20% × $360) = $360 + $72 = $432
Sylvia has more savings after the second week
5) if we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died?
Answers
If we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died is 1360/1517.
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
Probability that person is a man, given that he died,
P(x) = Favorable outcome/Total
= 1360/ 1517.
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“So, the area is __ square units.”
Answers
Answer:
4 square units
Step-by-step explanation:
The distance form B to C would be 4 which is the base
The distance from A to B would be 2 because: y2- y1/x2 -x1
1-3/5-4
-2/1= -2(take the absolute value of that)
1/2bh= 1/2(4×2)= 1/2(8)= 4
Hope this helps!!!
Last week at the Child Health Clinic, you attended to 10 patients and their ages were 3, 1, 2, 3, 4, 3, 1, 1, 1, and 1. Which of the following measures of central tendency are correct? Select any correct answers.
a. The mean is 2
b. The median is 4
c. The mode is 1
d. The range is 10
e. I don't know
Answers
The correct options are a, c, and d, that is, options (a), (c), and (d). The measures of central tendency that are correct for the given data points are the mean is 2, the mode is 1 and the range is 3.
The given data points are 3, 1, 2, 3, 4, 3, 1, 1, 1, and 1 . The mean is the sum of all data points divided by the total number of data points. Here, The sum of all data points = 3 + 1 + 2 + 3 + 4 + 3 + 1 + 1 + 1 + 1 = 20Number of data points = 10. Therefore, Mean = (3+1+2+3+4+3+1+1+1+1)/10 = 20/10 = 2.
Arranging the data in order, we get: 1, 1, 1, 1, 2, 3, 3, 3, 4. Now, since we have an even number of data points, the median is the mean of the two middlemost data points. Hence, Median = (2+3)/2 = 2.5.
The mode is the data point that appears the most number of times. Here, the number 1 appears the most number of times, i.e., 5 times.
The range is the difference between the largest and smallest data points. Here, the largest data point is 4 and the smallest data point is 1.Therefore, the range of the given data points is 4 - 1 = 3.Thus, the measures of central tendency for the given data points are:The mean is 2.The median is 2.5.The mode is 1.The range is 3.
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Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6
Answers
Answer:
x = 2
y = 0
Step-by-step explanation:
The two equations are
5x + 2y = 10 [1]
3x + 2y = 6 [2]
Notice the y coefficients are the same in both equations
[1] - [2] will eliminate the y terms and let you solve for x
[1] - [2] :
5x + 2y - (3x + 2y) = 10 -6
==> 5x +2y -3x - 2y = 4
==> 2x + 0 = 4
==> 2x = 4
x = 4/2
x = 2
Plug this value of x into equation [1]:
5(2) + 2y = 10
10 + 2y = 10
Subtract 10 both sides
10 - 10 + 2y = 10 - 10
2y = 0
y = 0
We can check our work by substituting for x and y in equation [2] left side
3x + 2y = 3(2) + 2(0) = 6 - 0 = 6 which is consistent with the right side
the lengths f all the sides of a polygon are tripled, but the angles remain the same. what happened to the area of the triangle
Answers
If the lengths of all the sides of a polygon are tripled, but the angles remain the same, the area of the polygon will increase by a factor of 9. This is because the area of a polygon is directly proportional to the square of its side length. Therefore, tripling the side lengths will increase the area by a factor of 3^2, which is 9.
When the lengths of all the sides of a polygon are tripled while the angles remain the same, the new polygon will be similar to the original one but with larger sides. To determine what happens to the area of the polygon in this case, let's consider the following steps:
1. All the sides of the polygon are tripled. This means that each side's length is now 3 times its original length.
2. The angles of the polygon remain the same, so the overall shape is preserved.
3. To find the area of the new polygon, we can use the formula for the area of a similar polygon: (New area) = (scale factor)^2 * (Original area), where the scale factor is the ratio of the new side length to the original side length.
4. In this case, the scale factor is 3 (since the lengths of the sides are tripled). So, we have (New area) = (3)^2 * (Original area).
5. Therefore, the new area is 9 times the original area.
In conclusion, when the lengths of all the sides of a polygon are tripled and the angles remain the same, the area of the polygon increases by a factor of 9.
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Ayudaaaaaa please……………….
Answers
Answer:
Step-by-step explanation:
1. When do you eat dinner?
2. When do you get ready for school?
3. When do you brush your teeth?
4. When do you go to school?
5. When do you say your prayers?
6. When do you go to bed?
7. When do you eat lunch?
8. When do you see your dad?
9. When do you drive home from work?
10. When do you eat breakfast?
1. What time does school start?
2. What time is lunch at schoo?
3. What time does school end?
4. What time does your dad come home from work?
5. What time does your favorite show start
6. What time is it now?
7. What time is your bedtime?
8. What time does your plane leave?
9. What time do you wake up?
10. What time does your soccer game start?
help me please!!!! 15 points
Answers
Answer:
17 sq. cm
Step-by-step explanation:
1st you split into 2 smaller shapes
Smaller shape:
A = lw
= 1(2)
= 2
Bigger Shape:
A = lw
= 3(5)
= 15
Add them together
15 + 2 = 17
(ASAPPPP!!!! POINTS INCLUDEDDDD!!!! ) An object attached to a spring oscillates around a position and is represented by the function y = 2 cos (x -0.02), with
time in a seconds. What is the maximum height of the object in inches, and how many times does the maximum occur on
the interval 0 < x < 20?
- 3times, 8inches
- 4times, 8inches
- 3times, 2inches
- 4times, 2inches
Answers
4times, 2inches occur on the interval 0 < x < 20
Find the maximum interval?y=2cos (x-0.02)(0<x<20)y max=2 inches-1<cos<1/-0.02<x<-0.02<1998when x - 0.02=0 2π 4 π4 times In mathematics, a interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in betweenIntervals are written with rectangular brackets or parentheses, and two numbers delimited with a comma. The two numbers are called the endpoints of the interval. The number on the left denotes the least element or lower bound. The number on the right denotes the greatest element or upper bound.To learn more about interval refers to:
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