The value of x in terms of l is
\(x= \sqrt{5l^2}\)
Data given;
Length = l
width = 2l
diagonal = x
assuming we cut a section across the diagonal, we would have a right angle triangle. we can solve the right angle triangle using Pythagoras Theorem.
Pythagoras TheoremThis formula is used to find the missing side of a right angle triangle where x is equal to it's longest side i.e the hypothenuse.
The square of the hypothenuse is equal to the sum of the square of it's two sides.
substituting the values
\(x^2 = l^2 + (2l)^2\\x^2 = l2 + 4l^2\\x^2 = 5l^2\\\\x = \sqrt{5l^2}\)
From the calculation above, we have x in terms of l as
\(x= \sqrt{5l^2}\)
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How do I know if I'm solving for x or if I'm solving for y
Answer:
Will usually be labelled?
Answer: It should say either in the equation itself, or in the directions
Step-by-step explanation:
If the instructions don't say which variable you're solving for, you can figure it out by looking at the equation
For example, we have this equation
\(9x+3=21\)
In this equation, there is only one variable to solve for, and that variable is x
\(y=15-\sqrt{16}\)
In this equation, there is only one variable to solve for, and that variable is y
However, if you're given an equation with more than one variable, most of the time, you have to solve for both!
⚠️⚠️⚠️help⚠️⚠️⚠️⚠️⚠️
The scatter plot below shows nine points from a data set. 12.0 10.8 9.6 8.4 7.2 6.0 4.8 3.6 2.4 1.2 ● 0 1 2 3 4 5 6 7 8 9 10
A 4,4,5,5,6,6
b 4,10,4,11,4,12
C8,9,8,10,8,11
D10,10,10,11,10,12
Answer:
Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.
Step-by-step explanation:
The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.
Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.
Now let's examine the given answer choices:
A. .4,4,5,5,6,6
B. .4,10,4,11,4,12
C. 8,9,8,10,8,11
D. 10,10,10,11,10,12
Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.
Therefore, based on the given scatter plot, the set of numbers that matches the points is C.
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Please help me with the question please ASAP ASAP please ASAP
Answer:
v = 288in³
la = 288in²
sa = 336in²
Step-by-step explanation:
i'm done explaining, if you need it, tell me
The value of a bank account is -$28. Money is then deposited into the account. Which could represent the value of the account now?
A. -$33
B. -$6
C. -$45
D. $17
E. $0
SELECT ALL!
help asap!!
thank youu
A and C becouse if they are depositing into the bank they are putting money in it so the number would have to go up. hope this helps :)
a necklace contains 36 gram of gold 72% of the mass of necklace is gold what is the mass of the necklace
Answer:
50 grams
Step-by-step explanation:
36 grams = 72%
→ Find 1% by dividing both sides by 72
0.5 grams = 1%
→ Times both sides by 100 to find 100%
50 grams = 100%
Step-by-step explanation:
Multiply 32 by 72 to get thw mass.
Be a kind soul and help me out please
well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".
so f(-1) => -2(-1) + 1 => 3.
Answer:3
Step-by-step explanation:
In this case x=-1 so you will use the top equation because x<1
so f(-1) = -2(-1) + 1
= 2+1
=3
\[ \mathrm{D}=77.0+0.43 \mathrm{Q} \text {, } \] here \( Q \) refers to the sequential quarter number and \( Q=1 \) for winter of Year 1 . In addition, the multiplicative seasonal factors are as fo In
The energy use for each quarter in year 26, starting with the winter quarter, is
Winter: 120.4
Spring: 120.9
Summer: 121.3
Fall: 121.7
The energy use for each quarter in year 26, we need to multiply the quarterly energy use factor (D) by the respective seasonal factors for each quarter.
D = 77.0 + 0.43Q
Q = 1 for the winter of Year 1
Let's calculate the energy use for each quarter in year 26:
For the winter quarter (Q = 101):
D = 77.0 + 0.43(101)
D = 77.0 + 43.43
D = 120.43 (rounded to one decimal place)
For the spring quarter (Q = 102):
D = 77.0 + 0.43(102)
D = 77.0 + 43.86
D = 120.86 (rounded to one decimal place)
For the summer quarter (Q = 103):
D = 77.0 + 0.43(103)
D = 77.0 + 44.29
D = 121.29 (rounded to one decimal place)
For the fall quarter (Q = 104):
D = 77.0 + 0.43(104)
D = 77.0 + 44.72
D = 121.72 (rounded to one decimal place)
Therefore, the energy use for each quarter in year 26, starting with the winter quarter, is approximately:
Winter: 120.4
Spring: 120.9
Summer: 121.3
Fall: 121.7
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The question is incomplete the complete question is :
D=77.0+0.43Q, here Q refers to the sequential quarter number and Q=1 for winter of Year 1 . In addition, the multiplicative seasonal factors are as fo In year 26 (quarters 101-104), the energy use for each of the quarters beginning with winter is (round your response to one decimal place)
Khairul agrees to lay a road 3000m long in 30 days. He employs 50 men,who works for 8 hours a day .After 20 working days, he finds that only 1200 m of the road is completed. Each man now works for 10 hours a day and they have to finish the project in 10 days' time. So , Khairul decides to employ more men to work on the project. How many more men are to be employed to finish the work on time?
Answer:
10 more men
Step-by-step explanation:
1.5 road made per man
the national average.
If the national average for a gallon of gas is $2.59, how much
should you expect to pay for gas in Philadelphia versus
Cleveland?
A. $3.03 / $2.75
B. $1.95 / $2.59
C. $2.34 / $2.75
D. $2.75 / $3.24
Philadelphia Clevland
Overall 92 78
Food 106 106
Housing 56 27
Utilities 130 126
Transportation 117 106
Health 102 113
The correct answer is D. $2.75 / $3.24
To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:
Philadelphia: $117
Cleveland: $106
To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:
Expected Gas Price = National Average * (Transportation Expense / National Average)
National Average for gas = $2.59
For Philadelphia:
Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30
For Cleveland:
Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51
Comparing the expected gas prices, we find that:
A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.
C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.
Therefore, the correct answer is:
D. $2.75 / $3.24
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A company has recently been hiring new employees. Today the company has 35% more employees than it did a year ago. If there are currently
43,200 employees, how many employees did the company have a year ago?
Answer:
28,080
Step-by-step explanation:
Turn 35% into a decimal (.35)Multiply .35 by the amount of current employees (.35 * 43200 = 15120)Subtract the current amount of employees (43200) by 15120 (the amount of employees that joined) which should be 28080. This is your answer.HELP!!!
gcf (greatest common factor)
Answer: GCF = 9
Step-by-step explanation: 45/9 = 5 and 81/9 = 9. 5/9 is as much as you can simplify. Brainliest please?
Greatest common factor is 9
Step-by-step explanation:
The biggest factor that matches 45 and 81 is 9.
45: 1,3,5,9,15,45
81: 1,3,9,27,81
a graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. what percentage of examinees will score between 600 and 700? multiple choice question. 0.2706 0.2294 0.4406 0.1700
The correct answer to the multiple-choice question is B) 0.2294. To answer this question, we need to use the properties of the normal distribution.
We know that the distribution of scores is normal with a mean of 560 and a standard deviation of 90. We want to find the percentage of examinees who score between 600 and 700.
To do this, we first need to standardize the scores using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation. For a score of 600, the standardized score is z = (600 - 560) / 90 = 0.44. For a score of 700, the standardized score is z = (700 - 560) / 90 = 1.56.
Next, we look up the percentage of examinees who score between these two standardized scores using a standard normal distribution table or a calculator. The percentage of examinees who score between 0.44 and 1.56 is approximately 0.2294 or 22.94%.
Therefore, the correct answer to the multiple-choice question is B) 0.2294.
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(3-21)-(7+6) =
subtract complex numbers
Answer:
(3-21)-(7+6) = -31
Step-by-step explanation:
3-21 = -18 - 13= -31
By the late 1820s, mexican ranchos in california were raising cattle specifically for their
By the late 1820s, Mexican ranchos in California were raising cattle specifically for their hides and tallow. These ranchos were established by the Spanish and Mexican settlers, who brought with them the tradition of raising cattle for their leather and fat.
The hides were used for making leather goods, while the tallow was used for making candles and soap.
The Mexican ranchos were known for their large herds of cattle, which roamed freely on vast open ranges. The rancheros, or ranch owners, employed vaqueros, or cowboys, to tend to the herds. The vaqueros were skilled horsemen who could round up and brand the cattle, as well as drive them to market.
The Mexican ranchos played a significant role in the development of California's economy and culture. The hides and tallow produced by these ranchos were in high demand, both locally and internationally. The ranchos also influenced the cuisine of California, introducing dishes such as carne asada and chile con carne.
Today, the legacy of the Mexican ranchos can still be seen throughout California, from the names of towns and streets to the tradition of rodeos and cattle drives. The Mexican ranchos represent an important chapter in California's history and a testament to the enduring influence of Mexican culture on the state.
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On Monday, 3.78 centimeters of rain fell in 6 hours. What was the amount of rainfall per hour? *
Answer:
0.63
Step-by-step explanation:
you have to divide by 6 to find out how much rain falls in one hour
what is formula of a²+b²
The formula of the expression a² + b² is (a + b)² - 2ab
How to determine the formula of a² + b²From the question, we have the following parameters that can be used in our computation:
The expression, a² + b²
The above expression is a sum expression and it can be calculated from the following
(a + b)² = a² + b² + x
Where x is an unknown
When the bracket is expanded, we have
a² + b² + 2ab = a² + b² + x
Evaluate the like terms
So, we have
2ab = x
This means that
a² + b² = (a + b)² - 2ab
Hence, the formula of a² + b² is (a + b)² - 2ab
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pls help this is homework
Answer:
f(-9)= 135
Substitute the -9 everywhere there's an x.
Plz help I need this done before 4
Answer:
It is a function.
Step-by-step explanation:
In a function, each input exists one unique output. In this case, this is a function because each input isn't assigned to multiple outputs, therefore y is a function of x.
pleaseeeeee helpppppppppp
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
This is the answer because:
1) Mean - add all the numbers and divide by with how many numbers you added.
2) The numbers are: 7,9,10,5,8,3,7
3) 7 + 9 + 10 + 5 + 8 + 3 + 7 = 49
4) 49 ÷ 7 = 7
Therefore, the answer is 7.
Hope this helps! :D
Help me out its division
Quick 15, anyone? Pease help out, thanks
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 4+16x−12(1+2x)
2. 40x−16
3. 16x−24x−4+12
4. -8x−8
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!
Answer:
Step-by-step explanation:
Statements Reasons
1). AD ≅ BC 1). Given
2). ∠D ≅ ∠C 2). Given
3). ∠DEA ≅ ∠CEB 3). Vertically opposite angles
4). ΔADE ≅ Δ BCE 4). AAS postulate of congruence
5). AE ≅ BE 5). CPCTC
Hence, proved.
Compared to a z-score, a hypothesis test with a t statistic requires less information from the population. T or F?
True. A t-test is a statistical test used to determine if there is a significant difference between the means of two groups. It is used when the sample size is small, and the population standard deviation is unknown.
In contrast, a z-score is calculated using the population mean and standard deviation and is used to compare a sample with a known population. The t-test, on the other hand, uses the sample mean and standard deviation to estimate the population parameters. Therefore, a t-test requires less information from the population than a z-score, making it a more practical choice when the population parameters are unknown or difficult to obtain.
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i need help with this giving 40 points
The correct location of exponential expression on the table is
2 1 1/2
((3 ×2)⁴ × 3⁻³)/ 2³ × 3 (3⁻³ × 2⁻³ × 6³)/ (4⁰)² (2⁴ × 3⁵)/ (2 × 3)⁵
(3² × 4³ × 2⁻¹)/(3 × 4)²
What are exponential expression and how do we solve for them?
Exponential expressions have a base raised to a power, whre the power it has been raise to tells us how many times the base should be multiplied by itself.
Lets simplify each exponential expression
1. ((3 ×2)⁴ × 3⁻³)/ 2³ × 3
= 6⁴ × 3⁻³/ 2³ × 3
= 1296 × 1/27 / 8 × 3
= 48 / 24
= 2
2. (2⁴ × 3⁵)/ (2 × 3)⁵
= 16 × 243 / 6⁵
= 3888 / 7776
= 1/2
3. (3² × 4³ × 2⁻¹)/(3 × 4)²
= (9 × 64 × 1/2) / 12²
= 288 / 144
= 2
4. (3⁻³ × 2⁻³ × 6³)/ (4⁰)²
= 1/27 × 1/8 × 216 / 1²
= 1
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Jenny set her watch 7 seconds behind, and it falls behind another 1 second every day. How
far behind is Jenny's watch if she last set it 2 days ago?
Answer:
9 seconds ago
Step-by-step explanation:
7+2=9
HELPP YALL! I WILL MARK BRAINIEST!! LOOK AT THE PICTURE!!
Answer:
So we know the total is 34
B to C will be 15 so that's around half the total
So let's subtract the given part from the total
34 = 15 = 19
AB = 19
the drainage loading on a stormwater collection system is normally distributed with mean 1.2 million gallon per day (mgd) and standard deviation 0.4 mgd. compute the system capacity, i.e., design life level (ddl), of the systems with a design life of 15 years and maximum risk of failure of 0.15 over its design life.
The system capacity or design life level (DDL) of the stormwater collection system is :
1.616 million gallons per day.
To compute the system capacity or design life level (DDL) for a stormwater collection system with a mean drainage loading of 1.2 million gallons per day (mgd), a standard deviation of 0.4 mgd, a design life of 15 years, and a maximum risk of failure of 0.15 over its design life, follow these steps:
1. Determine the z-score for the maximum risk of failure (0.15) using a standard normal distribution table or calculator. The z-score represents the number of standard deviations away from the mean for a given probability.
2. Since the risk of failure is 0.15, we want to find the z-score associated with the probability of 1 - 0.15 = 0.85. Using a standard normal distribution table or calculator, the z-score for 0.85 is approximately 1.04.
3. Calculate the drainage loading at the design life level (DDL) using the formula: DDL = mean + (z-score × standard deviation).
4. Substitute the given values into the formula: DDL = 1.2 + (1.04 × 0.4) = 1.2 + 0.416 = 1.616 mgd.
So, the system capacity of the stormwater collection system is 1.616 million gallons per day (mgd).
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Question : 10 = 7 - m
Answer:
m = -3
Explanation:
Answer:
10 = 7 - m
subtract 7
10-7 = -m
3 = -m
divide negative to isolate m
-3 = m
Step-by-step explanation: