3x - 8 = 4
or, 3x = 4 + 8
or, 3x = 12
or, x = 12/3
or, x = 4
So, x is 4.
Answer:
\(3x - 8 = 4 \\ 3x = 8 + 4 \\ 3x = 12 \\ x = \frac{12}{3} \\ \boxed{x = 4}\)
x = 4 is the right answer.how to find the factors of 82
Answer:
Step-by-step explanation:
What is 82 dividend by 3 and keep dividing intill you cant any more and you got your answer
Answer:
To find factors, you can either divide 82 by each number from 1 to 10 (which seems to work most of the time, but if it doesn't continue onward with the numbers), or you could see what, when multiplied, equals 82. But remember these must not be decimals or fractions.
The factors are 1, 2, 41, 82
Miguel spends $20 a day for 3 days. He earns $17 a day for 5 days. Does Miguel end up with more or less money than he started with? By how much?
Answer:
more money by 25 dollars
Step-by-step explanation:
Spent:
20 *3 = 60
Made:
17*5 =85
-60+85 = 25
Het made 25 dollars over the period
Answer:
If Miguel spent $20 a day for 3 days that's $60 spent.
If he makes $17 a day for 5 days that's $85.
So that means that he ended up with more money than he started with.
he ended up with $25 more than what he started with.
Hope it helps!
What is the relationship between period and frequency? (both in words and mathematically)
The relationship between period and frequency is that they are inversely proportional to each other. In simpler terms, as the period of a wave or oscillation increases, its frequency decreases, and vice versa.
Mathematically, this relationship can be expressed using the formula: Frequency (f) = 1 / Period (T). Likewise, Period (T) = 1 / Frequency (f).To understand this relationship, let's first define the terms. Period (T) refers to the time it takes for one complete cycle of a wave or oscillation to occur. On the other hand, frequency (f) is the number of complete cycles that occur within a specific time interval, usually one second, and is measured in Hertz (Hz).
When a wave or oscillation has a longer period, it takes more time to complete one cycle, which means fewer cycles can occur within a given time frame. Consequently, the frequency is lower. Conversely, when the period is shorter, more cycles can fit within the same time frame, resulting in a higher frequency.
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Which ordered pair is on the graph of y = 4x + 3?
Answer:
(-2,-1) (-1,-1) (0,-1) (1,-1) (2,-1)
Step-by-step explanation:
hope that helps bro
The fraction of the global human population living in developed nations is currently 17%. If each person in the developed world consumes on average 100kg of meat per year, how much meat will be consumed in the developed world in 1 year?
• A. 500 billion kg
• b. 102 billion kg
• c. 630 billion kg
• d. 130 billion kg
i need the explanation of how to get to the answer please
Current world population is 7.64 billion.
Number of people in developed nations :
\(n = \dfrac{7.64\times 17}{100}\\\\n=1.3\ billion\)
Now, per person in developed country eats 100 kg of meat .
So, 1.3 Billion people will eat :
\(M =1.3\times 100\ billion\ kg\\\\M=130\ billion\ kg\)
Therefore, meat consumed in the developed world in 1 year is 130 billion kg.
Hence, this is the required solution.
Given that XY is a line segment with the angle a = 46 degrees, work out the value of the angle marked b.
B = ?
Answer:
The answers should be b=44°
Step-by-step explanation:
b=180°–90°–a
b=180°–90°–46°
b=44°
What is your estimated project completion time?
Please show work.
\begin{tabular}{|l|l|l|l|l|} \hline Activity & a & m & b & Immediate Predecessor \\ \hline A & 1 & 2 & 3 & \( \cdots \) \\ \hline B & 2 & 3 & 4 & \( \cdots \) \\ \hline C & 4 & 5 & 6 & A \\ \hline D &
To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.
Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0
Earliest finish time = 1
Activity B: Earliest start time = 2
Earliest finish time = 5
Activity C: Earliest start time = 5
Earliest finish time = 11
Activity D: Earliest start time = 11
Earliest finish time = 17
Activity E: Earliest start time = 5
Earliest finish time = 8 Activity F:
Earliest start time = 8
Earliest finish time = 17
Now we can calculate the latest start and latest finish times for each activity using the backward pass.
Latest finish time = 5
Latest start time = 2
Activity A: Latest finish time = 1
Latest start time = 0
Now we can calculate the slack time for each activity as follows:Activity A:
Slack time = 0
Activity B: Slack time = 0
Activity C: Slack time = 0
Activity D: Slack time = 0
Activity E: Slack time = 3
Activity F: Slack time = 0
The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.
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evaluate f(3) if (x) = -4x+5
Answer:
-7
Step-by-step explanation:
If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?
The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.
What is the null hypothesis?
The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
Here,
We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.
We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.
Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.
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For which value of 0 is cot (0) undefined?
90°
180°
270°
450°
Answer:
The value of cot theta is undefined for all the options
Step-by-step explanation:
I think the best way to go about this is by the use of a calculator.
All that needs to be done is to input the individual values to see where we have an answer that is out of it.
Now, moving away from the calculators, we know quite well that cot is a derivative of tan.
By knowing the values at which we have tan as undefined, we can appropriately see values where cot too would be undefined.
On a normal scientific calculator, there is no cot functionality.
The way around this is to express
Cot theta as 1/tan theta
Thus cot 90 = 1/cot(90) = calculation error
Cot 180 = 1/tan (180) = calculation error
Cot 270 = 1/tan 270 = calculation error
Cot 450 = 1/tan (450) = calculation error
This shows that the value of cot is undefined for all of these options
Answer:
180
Step-by-step explanation:
State what additional information is required in order to know that the triangles are congruent
for the reason given. (Just number 12)
12) SAS
When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99. 7% of his finishing
times in the 400 meter race.
The interval of times that represents the middle 99. 7% of his finishing
times in the 400 meter race = (57, 63)
We know that the empirical rule or 68-95-99.7 rule states that for a normal distribution, 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
Here, mean (μ) = 60 seconds, standard deviation (σ) = 1 second
To determine the interval of times that represents the middle 99. 7% of his finishing times in the 400 meter race.
the 99.7% are within three standard deviations would be,
μ ± 3σ
= (60 - 3(1), 60 + 3(1))
= (57, 63)
The required interval is: (57, 63)
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a negative number divided by a positive number have to equal 7
Answer:
-49 divided by 7
Step-by-step explanation:
-49 ÷ 7
= -7
Answer:
-49 devided 7
Explanation:
\( - 49 \div 7\)
it shows also that the barn will be used as part of the fencing on one side. find the largest area that can be enclosed if 88 feet of fencing material is available
The largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².
Given, a barn has a perimeter of 88 feet.
Now, the perimeter of the rectangle i.e. Barn is 88 feet.
Perimeter = 2(l + b)
88 = 2(l + b)
l + b = 44
b = 44 - l
Now, area = l × b
Area = l × (44 - l)
Area = 44l - l²
On differentiating both the sides, we get
A' = 44 - 2l
On putting A' = 0
44 - 2l = 0
l = 22
Now, for l = 22 the area will be the largest.
if l = 22
then, 22 + b = 44
b = 22
So, the largest area will be 22×22 = 484
Hence, the largest area that can be enclosed if 88 feet of fencing material is available is 484 feet².
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please do my last question u get more points if the answer is right. if inappropriate you get reported NO LINKS
Answer:
1.35!
Step-by-step explanation:
Its 1.35 dollars :). hope you get it right
Answer:
$1.35
Step-by-step explanation:
All you have to do is change 15% into a decimal by moving the decimal point two places left. so 15. moved two places left is 0.15
then multiply 0.15 times 9 and get 1.35
WILL MARK BRAINLIEST IF GOTTEN RIGHT
Answer:
10
Step-by-step explanation:
I can't write it out, sorry!
Answer:
x = 10
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )
x = \(\sqrt{100}\) = 10
Write a positive or negative integer that represents the situation.
An airplane climbs to 37,500 feet.
Positive 37,000 feet.
Step-by-step explanation:
Find the margin of error for the 95% confidence interval used to estimate the population proportion.
n = 186, x = 103
a. 0.125
b. 0.0643
c. 0.0714
d. 0.00260
The margin of error for the 95% confidence interval used to estimate the population proportion, given n = 186 and x = 103, is approximately 0.0643 (option b).
To find the margin of error for a confidence interval, we use the formula:
Margin of Error = \(Z * \sqrt{((p-hat * (1 - p-hat)) / n)}\),
where Z represents the z-score corresponding to the desired confidence level, p-hat is the sample proportion, and n is the sample size.
In this case, the sample size is n = 186 and the sample proportion is p-hat = x/n = 103/186.
First, we need to find the z-score corresponding to a 95% confidence level. The z-score for a 95% confidence level is approximately 1.96.
Substituting the values into the formula, we have:
Margin of Error = \(1.96 * \sqrt{ ((103/186 * (1 - 103/186)) / 186)}\) ≈ 0.0643.
Therefore, the margin of error for the 95% confidence interval is approximately 0.0643 (option b).
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Please help Tameca already has $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account.
Answer:
x=9
Step-by-step explanation:
55+5x=100. -subtract 55 from 100
5x=45. - divide 45 by 5
x=9
Need help fast!!
What is the value of x
Answer:
4.5
Step-by-step explanation:
How do you graph piecewise functions on Desmos?
A piecewise function is a function that is defined by different equations on different intervals.
Graphing a piecewise function on a graph is a great way to visualize its behavior and understand its properties. One of the most popular and user-friendly ways to graph piecewise functions is using the online graphing calculator Desmos.
Here is a step-by-step guide on how to graph a piecewise function on Desmos:
Go to the Desmos website
and click on the "Graphing Calculator" button.
On the left side of the screen, you will see a text box labeled "y=". This is where you will enter the equation of your piecewise function. You can enter multiple equations by separating them with commas.
To graph a piecewise function, you will need to enter different equations for different intervals.
For example, if you have a piecewise function that is defined by the equation y = x^2 for x < 0 and y = x + 2 for x ≥ 0, you would enter y = x^2, x < 0 and y = x + 2, x ≥ 0 in the "y=" text box.
Once you have entered your equations, press the "Graph" button to see the graph of your piecewise function on the screen.
If you want to adjust the graph, you can use the sliders on the left side of the screen to change the range of the x- and y-axis. You can also use the buttons at the top of the screen to zoom in and out or pan around the graph.
To see the graph of multiple piecewise functions at once you can use the "Add another equation" button under the "y=" text box to add additional equations.
You can also use the "Table" tab to see the values of the function at certain x-values and also can use the "Slider" tab to change the value of x and see how that effects the graph of the function.
By following these steps, you can easily graph piecewise functions on Desmos and visualize the behavior of the function. Desmos is a great tool that allows you to experiment with different equations and see how they affect the graph of the function.
It is a great way to understand the properties of piecewise functions and to visualize them in multiple ways.
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PT=3x+7 TQ=8x-8
answer asap please
A person accepts a position with a company at a salary of \( \$ 34,000 \) for the frat year, The person is guaranteed a raise of \( \$ 1850 \) per year for the first 6 years. Determine the person's to
The person's total salary over the first 6 years is $231,750.
To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.
Given information:
- Initial salary: $34,000
- Annual raise: $1,850
- Number of years: 6
To calculate the total salary, we can use the arithmetic progression formula:
[ S = frac{n}{2} left(2a + (n - 1)dright) ]
Where:
- ( S ) is the sum of the salaries
- ( n ) is the number of terms (years)
- ( a ) is the first term (initial salary)
- ( d ) is the common difference (annual raise)
Substituting the given values, we have:
[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]
Simplifying the expression:
[ S = 3 left( 68000 + 5 times 1850 right) ]
[ S = 3 left( 68000 + 9250 right) ]
[ S = 3 times 77250 ]
[ S = 231750 ]
Therefore, the person's total salary over the first 6 years is $231,750.
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Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
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What multiplication fact could help me find out 24 ÷ 8 ?
Answer:
Step-by-step explanation:
That would be 8 x 3. It would help because 24/8 = 3.
On a bicycle you can travel 60 miles in 6 hours. What are both unit rates in this situation?
Answer:
10 i believe
Step-by-step explanation:
Answer:
10 miles / 1 hour
0.1 hours / 1 mile
trying to figure this out, someone pls help
f(x) = roots 3x + 7
if f^-1 (x) is the invers of f(x), then determine the result of f^-1(2)!
\(f(x) = \sqrt{3x} + 7 \\ \\ f ^{ - 1} (x) = ( \sqrt{3x} + 7) ^{ - 1} \\ \\ f ^{ - 1} (x) = \frac{1}{ \sqrt{3x} + 7} \\ \\ \\ f ^{ - 1} (2) = \frac{1}{ \sqrt{3(2)} + 7} \\ \\f ^{ - 1} (2) = \frac{1}{ \sqrt{6} + 7} \\ \\ f ^{ - 1} (2) = \frac{1}{ \sqrt{6} + 7} \times \frac{ \sqrt{6} - 7 }{ \sqrt{6} - 7 } \\ \\ f ^{ - 1} (2) = \frac{ \sqrt{6} - 7 }{(6 - 49)} = \frac{ \sqrt{6} - 7 }{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ \sqrt{6} - 7 }{ - 43} = \frac{2.449 - 7}{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ - 4.551}{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ 4.551}{ 43} =0.10584\)
I hope I helped you^_^
If a biker travels 380 meters in 20 seconds at that rate how far could he travel in 3 seconds
I think its 57 meters.
PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF
Answer: I believe it's 6 5/8
Step-by-step explanation: