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Explanation:
The fractions we want to eliminate are 2/3 and 5/6. The lowest common denominator (LCD) is 6.
If we multiply both sides by the LCD, then we'll cancel out the fractions. This is because
6*(2/3) = (6/1)*(2/3) = (6*2)/(1*3) = 12/3 = 4
6*(5/6) = (6/1)*(5/6) = (6*5)/(1*6) = 30/6 = 5
So in short, the (2/3)x becomes 4x and the 5/6 becomes 5 after we multiply both sides by the LCD 6.
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This is what the steps could look like
\(\frac{2}{3}x + 7 = \frac{5}{6}\\\\6*\left(\frac{2}{3}x + 7\right) = 6*\frac{5}{6}\\\\6*\left(\frac{2}{3}x\right) + 6*\left(7\right) = 6*\frac{5}{6}\\\\4x + 42 = 5\\\\\)
The nurse is assessing a client’s lymphatic system. For which enlarged node should the nurse suspect that the client has a blockage within the right lymphatic duct?.
The enlarged node that the nurse should suspect that the client has a blockage within the right lymphatic duct is the right cervical node
What is the lymphatic system?A network of tissues, blood arteries, and organs called the lymphatic system collaborates to transport lymph, a colorless, watery fluid, back into your circulatory system. Every day, your body's arteries, smaller arteriole blood vessels, and capillaries circulate about 20 liters of plasma.
The right lymphatic duct receives drainage from the right cervical node. The thoracic duct receives drainage from the superficial popliteal, superficial inguinal, and lumbar nodes. The sides and back of the neck include the cervical lymph nodes.
Typically, these glands are incredibly tiny. A lymph node, however, is swollen if its diameter is higher than 1 centimeter. Deep inside the neck, the cervical lymph nodes are located.
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What is the volume of this cube?
4 cubic feet
») 3 cubic feet
1 ft
6 cubic feet
1 ft
1 ft
>) 1 cubic foot
Answer:
it's 6 cubic feet look you must count all the sides together also I took the test this cube has 6 sides so your answer will be 6 cubic feet ;)
Step-by-step explanation:
a culture of yeast doubles in size every 20 minutes. the size of the culture is now n0. find its size in 12 hours. how do you solve these problems? sugar is put in a large quantity of water and the mixture is stirred. after 2 minutes, 50% of the sugar has dissolved. how much longer will it take until 90% of the sugar has dissolved?
How much longer will it take until 90% of the sugar has dissolved can be obtained by the equation t = -(log(1-0.9))/(log(0.5)) + 2
1. To find the size of a yeast culture after 12 hours, you can use the formula: size = n0 * 2^(t/20), where t is the time in minutes. In this case, t = 12*60 = 720, so the size of the culture after 12 hours would be n0 * 2^(720/20) = n0 * 2^36.
2. To find how long it takes for 90% of the sugar to dissolve, you can use the formula: t = -(log(1-x))/(log(0.5)), where x is the percentage of sugar dissolved and t is the time in minutes. In this case, x = 0.9 and we know that 50% of the sugar has dissolved in 2 minutes, so we can find t by plugging in the values and solving for t: t = -(log(1-0.9))/(log(0.5)) + 2.
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WILL GIVE BRAINLIEST!!!! What is a quadratic?
The term "quadratic" refers to something that is related to the mathematical concept of a quadratic function or equation.
In mathematics, a quadratic function is a polynomial function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which has a symmetric U-shape.
Quadratic equations can be solved using a variety of methods, including factoring, completing the square, and using the quadratic formula. They have many applications in physics, engineering, economics, and other fields.
In everyday language, the term "quadratic" is sometimes used to describe something that has a parabolic or U-shaped curve, or to refer to something that is complex or difficult to understand.
Brainliest?
Answer:
a function
Step-by-step explanation:
From past experience, a professor knows that the test score of a student taking her final examination is a random variable with mean 75. a. Give an upper bound for the probability that a student's test score will exceed 85. Suppose, in addition, that the professor knows that the variance of a student's test score is equal to 25. b. What can be said about the probability that a student will score between 65 and 85? c. How many students would have to take the examination to ensure with probability at least .9 that the class average would be within 5 of 75? Do not use the central limit theorem
Using Chebyshev's inequality, the upper bound for the probability of exceeding 85 is 1/2^2 = 1/4 = 0.25.
Using Chebyshev's inequality, the probability of a student scoring between 65 and 85 is at least 1 - 1/2^2 = 1 - 1/4 = 0.75.
a. To give an upper bound for the probability that a student's test score will exceed 85, we can use Chebyshev's inequality. Chebyshev's inequality states that for any random variable, the probability that the value deviates from its mean by more than k standard deviations is at most 1/k^2. In this case, the standard deviation is the square root of the variance, which is 5 (sqrt(25)). To calculate the upper bound for the probability of exceeding 85, we can calculate the number of standard deviations 85 is from the mean of 75 and use the inequality.
Number of standard deviations = (85 - 75) / 5 = 2
b. With the knowledge that the variance is equal to 25, we can also use Chebyshev's inequality to estimate the probability that a student will score between 65 and 85. We calculate the number of standard deviations each score is from the mean and use the inequality to find an upper bound on the probability.
For 65: Number of standard deviations = (65 - 75) / 5 = -2
For 85: Number of standard deviations = (85 - 75) / 5 = 2
c. To ensure with probability at least 0.9 that the class average would be within 5 of 75, we need to determine the minimum sample size. Since we do not use the central limit theorem, we assume that the distribution of individual scores is unknown. However, we can use Chebyshev's inequality to bound the probability of the class average deviating from the mean.
Chebyshev's inequality states that the probability that the class average deviates from the mean by more than k standard deviations is at most 1/k^2. In this case, we want the probability to be at least 0.9, so we set up the inequality:
1/k^2 ≥ 1 - 0.9
1/k^2 ≥ 0.1
k^2 ≤ 10
k ≤ sqrt(10)
We know that k is the number of standard deviations, which is equal to the sample size divided by the square root of the sample size. So we have:
sqrt(10) ≤ n / sqrt(n)
sqrt(10) ≤ sqrt(n)
10 ≤ n
To ensure with probability at least 0.9 that the class average would be within 5 of 75, the minimum number of students that need to take the examination is 10.
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Over summer vacation, Vincent has to read a novel for English class. He has decided to spend the same amount of time reading every day. The number of days it will take him to finish the book depends on how many hours he spends reading every day.
d = the number of days it will take Vincent to finish reading the book
h = the number of hours Vincent spends reading every day
Which of the variables is independent and which is dependent?
d is the independent variable and h is the dependent variable
h is the independent variable and d is the dependent variable
The independent variable is h, the number of hours Vincent spends reading every day, and the dependent variable is d, the number of days it will take Vincent to finish reading the book.
The independent variable is the variable that can be changed by the experimenter. In this case, Vincent can change the number of hours he spends reading every day. The dependent variable is the variable that is affected by the independent variable. In this case, the number of days it will take Vincent to finish reading the book depends on the number of hours he spends reading every day. For example, if Vincent spends 2 hours reading every day, it will take him 15 days to finish the book. If he spends 3 hours reading every day, it will take him 10 days to finish the book. The number of hours he spends reading every day (the independent variable) determines the number of days it will take him to finish the book (the dependent variable).
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H
About how many years would it take $2,000 to become $4,000 if the $2,000 is
deposited in a savings account with an interest rate of 6 percent?
Compound interest is interest that is calculated on both the principal amount and any accumulated interest from previous periods. This results in the interest earning interest over time, leading to exponential growth.
If you deposit $2,000 in a savings account with an interest rate of 6 percent, the interest rate is the return you get for lending your money to the bank. The interest is calculated on an annual basis, and the compounding period, which is the frequency at which interest is added to the account, can vary. In this case, assuming that the interest is compounded annually, it would take approximately 12 years for the $2,000 to become $4,000.
To calculate this, you can use the formula for compound interest: FV = PV x (1 + r)^n, where FV is the future value, PV is the present value, r is the interest rate, and n is the number of compounding periods. In this case, FV is $4,000, PV is $2,000, r is 6 percent (0.06), and n is the number of years. So, you would solve for n as follows:
$4,000 = $2,000 x (1 + 0.06)^n
Dividing both sides by $2,000 and taking the logarithm of both sides, you get:
log(2) = n x log(1.06)
Solving for n, you get:
n = log(2) / log(1.06) = 11.9
Therefore, it would take approximately 12 years for $2,000 to become $4,000 if it is deposited in a savings account with an interest rate of 6 percent and compounded annually.
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How do economists measure a nation's standard of living?
A.by calculating GDP per person
B.by calculating per capita income
C.by calculating average personal income
Answer:
by calculating per capita income
Solve the equation with all steps.
3/2x-2/3x=2
Answer:
\(x = \frac{5}{12} \)
Step-by-step explanation:
\( \frac{3}{2x} - \frac{2}{3x} \)
➡️ \( \frac{3}{2x} - \frac{2}{3x} = 2\)
➡️ \( \frac{5}{6x} = 2\)
➡️ \(5 = 12x = 12x = 5\)
➡️ \(x = \frac{5}{12} \)
Answer:
x = \(\frac{12}{5}\)
Step-by-step explanation:
Given
\(\frac{3}{2}\) x - \(\frac{2}{3}\) x = 2 ( multiply through by 6 to clear the fractions )
9x - 4x = 12
5x = 12 ( divide both sides by 5 )
x = \(\frac{12}{5}\)
( Will give Brainliest) Please Helpp
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The inequality will like this....
\(x\geq53\)
because if it says at least 53 people buy food from the food truck that means it could be 53 people or more.
Now for the graph it will be the one with the closed circle and the arrow pointing to the right.
The line is supposed to resemble how many people buy food from the food truck.
So the meaning of the closed circle is that the 53 is included within the possiblities and the arrow would show how much could be there since it said at least 53 people so there could be more.
Answer:
The answer will the closed circle with an arrow to the right on the 53
Explanation:
The closed circle with the arrow pointing left means equal to or greater than blank
It is at least 53 people, meaning it could be 53, 54, 55, or more forever
Please help! Please help me answer this question,
Answer:
A-4
B-5
C-1
D-3
E-2
Step-by-step explanation:
They all have the same explanation u have to find the point where the line coincides with the x and y axis
E.g on how to work out
Note when the value of y is zero u get the x coordinate and when x is zero u get the y coordinate
C=2x+y=4
To get x 2x+0=4 x=2
Y 0+y=4 y=4
After doing so u locate the line that passes through (2,0),(0,4)
Hope it helps
Answer:
Can you send a screen shot of each graph because its hard to see the coordinate
Step-by-step explanation:
if there is a positive correlation between x and y then in the regression equation, y = bx a, ____. group of answer choices b > 0 b < 0 a > 0 a < 0
If there is a positive correlation between x and y in the regression equation y = bx + a, then b > 0.
In the regression equation, y = bx + a, a positive correlation between x and y indicates that as the value of x increases, the value of y also increases, and vice versa. The correlation between these two variables is represented by the coefficient b in the equation.
A positive correlation means that b > 0, as a positive value for b will result in y increasing when x increases. On the other hand, if b < 0, it would indicate a negative correlation, meaning that y would decrease as x increases.
The constant term a in the equation represents the y-intercept or the value of y when x is equal to zero. It does not directly affect the correlation between x and y, so it can be either positive (a > 0) or negative (a < 0) depending on the specific data being analyzed. The value of a will only shift the position of the regression line on the graph, while the slope (b) determines the direction of the correlation between the variables.
In conclusion, if there is a positive correlation between x and y in the regression equation y = bx + a, then b > 0. The values of a > 0 or a < 0 are not directly related to the correlation between x and y.
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Can a equation have more than one property present?
Answer:
yes it CAN have more than 1
Step-by-step explanation:
Answer:
i would say yes
Step-by-step explanation:
½ (50w - 16)
what is it?
Answer:
The answer is ½ (50w - 16)= 25w-8
A sprinkler that sprays water in a circular area can spray up to a radius of 22ft what is the maximum area of lawn that can be watered by the sprinkler use 3.14 to approximate date for Pie enter your answer as a decimal rounded to the nearest tenth in the Box
[ ] ft^2
To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:
A = πr^2
Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:
A = 3.14 * (22)^2
A ≈ 3.14 * 484
A ≈ 1519.76
Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)
What is an equation of the line that passes through the points of (8,-7) and (-6,-7)
Answer: y+7=0 x(x-8)
Step-by-step explanation:
.
YALL I NEED HELP, I’m BEGGINGGGGGF
Answer:
the first one
Step-by-step explanation:
☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️
Is the function F(x)=5x2
what is the slope of a line that passes through the points (-3,7) and (7,5)
Answer:
the answer IS. -1/5 which it could be written as -0.2. NOTE: please consider the negative signs in calculating
Find the volume of the figure below.
6 cm
10 cm
8 cm
7 cm
Jack is saving money to buy a computer that costs $960. He is saving $60 a week. Hiw many weeks will it take him to save enough to buy the computer?
Answer:
It will take Jack 16 weeks to save enough money to buy the computer.
Step-by-step explanation:
To find the answer, we can divide the cost of the computer ($960) by the amount of money Jack is saving per week ($60), which leaves us with the number of weeks it will take him to save enough money to buy the computer (16).
To check this math, we can multiply the amount of money Jack is saving per week ($60) by the number of weeks it will take him to save enough money to buy the computer (16), which gives us the cost of the computer ($960) and tells us that this answer is correct.
3/4 cup juice per 2/3 cup sugar, find cups juice per cup sugar
Answer:
9/8
Step-by-step explanation:
divide 3/4 by 2/3
use the KCF method
so your gonna get 3/4 divided 2/3 then change the division to multiplcation and then flip the 2/3 to 3/2
now multiply across: 3/4 × 3/2=9/8
AVB has a measure of 70° and VM is it’s angle bisect or what is the measure of AVM
The correct question is,
If angle AVB has a measure of 70 degrees and line VM is its angle bisector,
Do we have to determine what is the measure of angle AVM
We know that,
What is angle bisect?
The angle bisector divides into two equal parts.
So, The measure of angle AVM is,
70/2 = 35 degrees.
The answer is 35°.
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What is the difference between law and scientific law.
Answer:
A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.
Step-by-step explanation:
Answer:
law is federal
Step-by-step explanation:
ik
plz help,i'll give brainlliest
Sam made the shape at the right from colored tiles. What is the area of the shape?
Answer:
Step-by-step explanation:
Rosa and her brother worked landscaping jobs last summer. Rosa earned $8 more than twice the amount earned by her brother. If their earnings totalled $71, how much did Rosa earn? NEED AN ANSWER
The annualized cost of not taking a discount can be calculatedwith this formula:
The formula for the annualized cost of not taking a discount is: Annualized Cost = (1 + r)^t * [(1 - d) / d] * C
Where:
r = the interest rate
t = the number of years
d = the discount rate
C = the cost of the item
This formula calculates the cost of not taking a discount over a given period of time (t) with a certain interest rate (r). It takes into account the original cost of item (C), the discount rate (d), and the time period (t) to determine the total cost of not taking the discount.
For example, if an item costs $100 with a discount rate of 10%, the cost of not taking the discount over 1 year with an interest rate of 5% would be calculated as follows:
Annualized Cost = (1 + 0.05)^1 * [(1 - 0.1) / 0.1] * 100
= 1.05 * (0.9 / 0.1) * 100
= 1.05 * 9 * 100
= 945
So the annualized cost of not taking the discount would be $945
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I need answers for this question
The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.
Given: 3 \(\leq\) x - 2
We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x
Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.
Therefore, the correct option is (E) A number line going from positive 5 to positive 10. We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.
Hence, option E is correct.
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i need answer please
Answer:
Below in bold.
Step-by-step explanation:
Radius of the pizza = 1/2 * 8 = 4 in.
Area of the whole pizza = π r^2
= π * 4^2
= 8 π
So if you take 1/8 away
the area left = 7/8 * 8 * π
= 7π
Taking π to be 22/7:
= 7 * 22/7
= approximately 22 in^2.