Answer:
n=-4
Step-by-step explanation:
You need to add 8 on both sides. Then you get -3n=12. Next, you divide -3 on both sides to get n=-4.
Answer:
n= -4
Step-by-step explanation:
-3n+8=4
you do the opposite of adding the 8 so u subtract and get 12 youre left with -3n=4you do the opposite of multipying the -3 to nso u divide the -3 to the 12 in the end you get n= -4Divide.
−5 5/8÷5
Responses
−118
, , negative 1 and 1 over 8
−58
, , negative 5 over 8
58
5 over 8
118
The simplified value of the expression −5 5/8 ÷ 5 is −1 1/8
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution of the expression?The expression is given as
−5 5/8 ÷ 5
Convert the mixed fractions to improper fractions
So, we have
−5 5/8 ÷ 5 = −45/8 ÷ 5
Express the quotient as a product
So, we have
−5 5/8 ÷ 5 = −45/8 x 1/5
Evaluate the product of the numerators in the above expression
So, we have
−5 5/8 ÷ 5 = −45/8 x 1/5
Evaluate the product of the denominators in the above expression
So, we have
−5 5/8 ÷ 5 = −45/40
Simplify the result
So, we have
−5 5/8 ÷ 5 = −9/8
Express as a mixed number
So, we have
−5 5/8 ÷ 5 = −1 1/8
Hence, the simplified value of the expression −5 5/8 ÷ 5 is −1 1/8
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What is the correct value for n in the equation 12.5% of n = 350?
Answer:
What is 12.5 percent of 350? = 43.75.
Answer:
The correct value for n is 2800.
Step-by-step explanation:
We need to find the value of n. According to the given information, 12.5% of n is 350. Here the percentagle 12.5% must be converted to the equivalent 0.125.
Then the equation to be solved is 0.125n = 350, so that
350
n = --------- = 2800
0.125
The correct value for n is 2800.
PLS HELP WILL GIVE BRAINLIEST !!! EXPLAIN IN A SENTENCE PLS
Answer:
the first one
Step-by-step explanation:
Ill take that brainliest now 0_o
Answer:
It is the third one
Step-by-step explanation: All the sides are congruent.
For a standard normal distribution, a negative value of z indicates _____.
For a standard normal distribution, a negative value of z indicates that the observed value is below the mean of the distribution.
In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a negative value of z indicates that the observed value is located below the mean. The z-score represents the number of standard deviations a data point is away from the mean.
A negative z-score means that the observed value is lower than the mean, indicating that it falls to the left of the center of the distribution. This means that the data point is relatively lower compared to the average and can provide information about its position within the distribution and its deviation from the mean.
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There are 110 teachers and 1320 students at a middle school. What is ratio of teachers to students in simplest form? Select the answer which shows how this ratio is said aloud.
Step-by-step explanation:
I don't see any answer options.
110 teachers, 1320 students.
the ratio is therefore
110/1320 = 11/132 = 1/12
so, there is 1 teacher for every 12 students.
Identify the terms, variables, coefficients and constant..
Expression: 7+5c-2k-15
Terms:
Variables:
Coefficients:
Constants:
Answer:
Terms: 7, 5c, 2k, 15
Variables: C, K
Co efficients: 5, 2
Constants: 7, 15
If a flexible air-filled container has a volume of 100 liter on the surface, what would the volume be at 20 meter in sea water? (rounded off)
A - 33 liter
B - 25 liter
C - 20 liter
D - 50 liter
The flexible air-filled container has volume of -33 liter (A) at 20 meter in sea water.
At the surface, the pressure is 1 atm (atmosphere). As we go deeper into the sea, the pressure increases by 1 atm for every 10 meters. Therefore, at 20 meters, the pressure is 3 atm (1 atm at the surface + 2 atm for the 20 meters).
The relationship between pressure and volume is described by Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature. This means that as the pressure increases, the volume decreases, and vice versa.
Using Boyle's Law, we can calculate the volume at 20 meters:
P1V1 = P2V2
Where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.
Plugging in the values:
(1 atm)(100 liter) = (3 atm)(V2)
Solving for V2:
V2 = (1 atm)(100 liter) / (3 atm)
V2 = 33.33 liter
Rounding off to the nearest whole number, the volume at 20 meters is 33 liter.
Therefore, the correct answer is A - 33 liter.
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Help ASAP!! Which algebraic expression is equivalent to the expression below?
The algebraic expression is equivalent to the expression below is 36x+110
Simplifying expressions using the distributive law.According to the Distributive Law, multiplying a number by a collection of numbers is equivalent to performing each multiplication independently.
For instance, given the standard expression C(D + E). Using the distributive law;
C(D + E) = CD + DE
Using this rule to the given expression shown below;
11(4x + 10) - 8x
Apply the distributive property;
11(4x + 10) - 8x
11(4x) + 11(10) - 8x
44x + 110 - 8x
Collect the like terms
44x + 110 - 8x
44x-8x+110
36x+110
This gives the resulting equation of the linear function after expansion
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3(x+14)=42 plz need help now
Answer:
0
Step-by-step explanation:
So we have the equation:
\(3(x+14)=42\)
Divide both sides by 3:
\(x+14=14\)
Subtract 14:
\(x=0\)
The value of x is 0
Answer: x=0
Step-by-step explanation:
Given
3(x+14)=42
Distributive property
3x+42=42
Subtract 42 from both sides
3x=0
Divide 3 on both sides
x=0
----------------------------------------------------
Given
3(x+14)=42
Divide 3 on both sides
x+14=14
Subtract 14 on both sides
x=0
Both ways are fine
Hope this helps!! :)
pls help me to answer this
Answers:
Part 1
16. Nominal
17. Nominal
18. Nominal
19. Nominal
20. Nominal
21. Continuous
22. Continuous
23. Continuous
24. Continuous
25. Continuous
Part 2
26. Discrete
27. Continuous
28. Discrete
29. Discrete
30. Ordinal
31. Ordinal
32. Nominal
33. Ordinal
34. Ordinal
35. Nominal
=========================================================
Explanation:
A nominal variable is one where usually a name is attached to it, instead of a number. Something like "mood" is nominal because it takes on the options of "happy", "sad", "angry", etc which are all non-numeric names. We can't do math on them. The same goes for colors, blood type, dog breed, nationality, and month names.
An ordinal variable is one where we can rank the names but we can't exactly do math on them. An example of this would be pain severity (from "no pain" to "in extreme pain") since we can rank and order the pain levels in a natural order. Another example is satisfcation rating, rank in class, and clothing sizes.
A discrete variable is one that takes on finitely many values between two endpoints. Usually (but not always) discrete values are whole numbers. When it comes to counting the number of people or objects, we turn to a discrete variable. With discrete variables, it doesn't make sense to have a midpoint between say 1 and 2 because we cannot have 1.5 of a person.
A continouous variable is one where we can pick any real number in a given interval. Midpoints make sense here now because we can select the midpoint of say 1 and 2 to get 1.5; an example of a continuous variable is someone's height, wind speed, water temperature, or the voltage of electricity.
Pls answer this question! Question down below.
First, find the product of the numbers:
3 · 7 · 13 · 37 = 10101Now, rewrite the given expression as:
x·10000 + y·100 + x + y·10000 + z·100 + x + z·10000 + x·100 + y = x(10000 + 100 + 1) + y(10000 + 100 + 1) + z(10000 + 100 + 1) = 10101x + 10101y + 10101z = (x + y + z)·10101 = (x + y + z)·3·7·13·37Proved that the given expression is divisible by 3, 7, 13 and 37.
Using the credit card from question 13, if you have a good credit rating, how much must you pay at the end of the month to get the balance to the acceptable debt ratio percentage?
Here's Number 13 for context:
13. You have a credit card that has a balance of 3589. 90 and a credit limit of 5000. How much is the balance over the acceptable debt ratio percentage?
Then my answer was $1,410. 10
To get the balance to the acceptable debt ratio percentage, you would need to pay approximately $2089.90 at the end of the month.
To calculate the amount you must pay at the end of the month to get the balance to the acceptable debt ratio percentage, we need to determine the acceptable debt ratio percentage and the current balance on the credit card.
Let's assume the acceptable debt ratio percentage is 30%. This means that the balance on the credit card should not exceed 30% of the credit limit.
Credit Limit: $5000
Acceptable Debt Ratio: 30%
The maximum allowable balance can be calculated as follows:
Maximum Allowable Balance = Credit Limit * Acceptable Debt Ratio
Maximum Allowable Balance = $5000 * 0.30
Maximum Allowable Balance = $1500
To find the amount you must pay at the end of the month, subtract the maximum allowable balance from the current balance:
Amount to Pay = Current Balance - Maximum Allowable Balance
Amount to Pay = $3589.90 - $1500
Amount to Pay = $2089.90
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Write a vector equation that is equivalent to the system of equations 4x1+x2+3x3=9x1−7x2−2x3=28x1+6x2−5x3=15
The vector equation that is equivalent to the given system of equations is:
[x1, x2, x3] = [-59/112, -3/28, 29/112]t + [-1/16, -5/56, 11/112]u + [-31/112, 11/28, -3/112]v,
where t, u, and v are any real numbers.
The system of equations:
4x1 + x2 + 3x3 = 9
x1 - 7x2 - 2x3 = 28
x1 + 6x2 - 5x3 = 15
can be written in matrix form as AX = B, where:
A = [4 1 3]
[1 -7 -2]
[1 6 -5]
X = [x1]
[x2]
[x3]
B = [9]
[28]
[15]
To convert this into a vector equation, we can write:
X = A^(-1)B,
where A^(-1) is the inverse of the matrix A. We can find the inverse by using row reduction or an inverse calculator. After performing the necessary calculations, we get:
A^(-1) = [-59/112 -3/28 29/112]
[-1/16 -5/56 11/112]
[-31/112 11/28 -3/112]
So the vector equation that is equivalent to the given system of equations is:
[x1, x2, x3] = [-59/112, -3/28, 29/112]t + [-1/16, -5/56, 11/112]u + [-31/112, 11/28, -3/112]v,
where t, u, and v are any real numbers.
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Copts revenue, and profit ate in doigrs and \( x \) as the number of units. (a) Find the obtirnal fevel of production. units (b) Find the profit function. \( P^{\prime}(x)= \) (c) Find the profit or l
The optimal level of production is 3 units. Profit function is P(x) = -2x² + 24x + 7500. The profit at the optimal level is rounded off to $7488.
The complete question :
Cost, revenue, and profit are in dollars and x as the number of units.
A firm knows that its marginal cost for a product is MC = 2x+25, that its marginal revenue is MR = 49-6x, and that the cost of production of 60 units is$5,260.
(a) Find the optimal level of production.
(b) Find the profit function.
(c) Find the profit or loss at the optimal level.
(a) Optimal level of production
We know that Profit is given as :P(x) = R(x) - C(x), where R(x) is the Revenue function, C(x) is the Cost function.
We are given marginal cost and marginal revenue. We know that the marginal cost is the first derivative of the cost function, so we can obtain the cost function by integrating the marginal cost. Similarly, the marginal revenue tis the first derivative of the revenue function, so we can obtain the revenue function by integrating the marginal revenue. Then we can obtain the profit function by subtracting the cost function from the revenue function.
Let's find the cost function.
C(x) = ∫MC dxC(x) = ∫(2x + 25) dxC(x) = x² + 25x + CC(x) = C(60) - 5260 (substituting x=60, given the cost of production of 60 units is $5260)
C(x) = 60² + 25*60 - 5260C(x) = 360 (we get the value of C)
C(x) = x² + 25x + 360
Therefore the cost function is C(x) = x² + 25x + 360
Let's find the revenue function.
R(x) = ∫MR dxR(x) = ∫(49 - 6x) dxR(x) = 49x - 3x² + KR(60) = 0 (Given that the revenue of 60 units is zero)
0 = 49*60 - 3*60² + K0 = 2940 - 10800 + KK = 7860
Therefore the revenue function is R(x) = 49x - 3x² + 7860
Let's find the profit function.
P(x) = R(x) - C(x)P(x) = (49x - 3x² + 7860) - (x² + 25x + 360)P(x) = -2x² + 24x + 7500P(x) = -2(x² - 12x - 3750)P(x) = -2(x - 6)² + 7512
At the optimal level of production, the profit will be maximum, and the derivative of the profit will be zero.
dP/dx = -4x + 24 = 0x = 6
Therefore, the optimal level of production is 6÷2=3 units.
But we need to confirm if this is a maximum or a minimum. We need to find the second derivative of the profit at x=3.
d²P/dx² = -4 < 0
Therefore, at x = 3, the function P(x) has a maximum value, hence the optimal level of production is 3 units.
(b) The profit function is P(x) = -2x² + 24x + 7500
(c) The profit at the optimal level is: P(3) = -2(3²) + 24(3) + 7500P(3) = -18 + 72 + 7500P(3) = $7488
Therefore, the profit at the optimal level is $7488, which is rounded off to $7488.
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Question
You go down 8 floors in an elevator. Your friend goes up 5 floors in an elevator. Write each amount as an integer.
you will be on floor no. -8 and your friend will be in floor no. 5 if you and your friend started at floor no. 0
YOU CAN ALSO VISUALISE THIS WAY
Answer these correctly for me please...
troll and get reported
Answer:
on the left: y = -4x - 2 and y = 1/3x - 2
on the right: 3s + 1c = 3 and 3s + 2c = 52
79 x 31 rounding or compatible numbers . show how you estimate
Answer:
80 × 30 = 2,400
Step-by-step explanation:
We can easily round 79 up to 80 and round 31 down to 30. This would make our expression 80 × 30, which is much easier to compute. We just take 8 × 3 (which is 24) and add two zeros onto the end of the number. This yields us an answer of 2,400 which is very close to the actual multiplication of 79 × 31 which is 2,449 (only 49 more than our estimation).
Determine whether the statement is always, sometimes, or never true. Explain you reasoning.
Lines p and q intersect in points M and N .
A line segment is also a line but a line with finite length and fixed endpoints. The given statement "Lines p and q intersect in points M and N" can never be true.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
The given statement "Lines p and q intersect in points M and N" will never be true, this is because two straight lines can only bisect once, therefore, at only a single point.
Although, the line may also bisect each other at infinite points but only if the line overlap with one another.
Since it is given that bisect each other at two points M and N.
Hence, The given statement "Lines p and q intersect in points M and N" can never be true.
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Find the midpoint between
-7 + 4i
and
3 - 2i
Answer:
-2+i
Step-by-step explanation:
-7+4i represents (-7,4) and 3-2i represents (3,-2).
So, the midpoint is (-2,1), which represents -2+i.
Henry opens a savings account that has a 4.5% annual interest
rate. After 18 months, he receives $75,000. How much did he invest?
Show all work
Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.
Here are the steps on how to calculate the amount Henry invested:
Convert the annual interest rate to a monthly rate.
\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)
Calculate the number of years.
\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)
Use the compound interest formula to calculate the amount Henry invested.
\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)
where:
FV is the future value ($75,000)
PV is the present value (unknown)
r is the interest rate (0.375%)
t is the number of years (1.5 years)
\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)
\$75,000 = PV * 1.0297
\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)
PV = \$72,831.68
Therefore, Henry invested \$72,831.68 in the savings account.
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how many answers do i need to get correct if i want a grade of 80 percent on a test with 70 questions? 56 40 65 33
Answer:
(a) 56
Step-by-step explanation:
You want the number that is 80% of 70.
PercentIn this context, "of" means "times." Thus "80% of 70" is "80% times 70".
Some calculators have a % key that lets you calculate this directly. Otherwise you may need to convert the percentage to a fraction.
The % symbol is effectively interchangeable with "/100", so we have ...
80% of 70 = 80/100 × 70
At this point, you can employ what you know about multiplication and division to simplify this to a problem you can do in your head.
= (80×70)/100 = (8×7×100)/100 = 8×7 = 56
If you want a grade of 80%, you need to get 56 questions correct.
How do you find the perimeter by using just the scale factor?
Answer:
The perimeter of a scalene triangle is equal to the sum of the length of sides of a triangle and it is given as, Perimeter = a + b + c units where a, b, and c are the lengths of the sides.
Step-by-step explanation:
here’s an example
Find the mean, median, mode, range, and standard deviation of each data set that is obtained after adding the given constant to each value. 56, 37, 41, 50, 38, 44, 32, 54; +(-7)
After adding (-7) to each value in the given data set, the mean is 38.25, the median is 38, the mode does not exist, the range is 24, and the standard deviation is approximately 8.85.
To find the mean of the data set, add all the values together (49, 30, 34, 43, 31, 37, 25, 47) and divide the sum by the total number of values (8). The mean is the average value of the data set.
To determine the median, arrange the values in ascending order (25, 30, 31, 34, 37, 43, 47, 49) and find the middle value. In this case, the median is the average of the two middle values (34 and 37).
The mode refers to the value(s) that appear most frequently in the data set. In this case, there is no mode since no value appears more than once.
The range is calculated by subtracting the smallest value (25) from the largest value (49). Thus, the range is 24.
To calculate the standard deviation, subtract the mean from each value, square the differences, calculate the mean of those squared differences, and finally take the square root of the resulting value. This provides a measure of the dispersion or spread of the data around the mean.
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The Staeb company manufactures headphones. The company's total cost function is C(h)=−0.002h 2
+75h+2200 and revenue is given by R(h)=140h (both in dollars), where h is the number of pairs of headphones. What is the company's profit function, P(h) ? (Simplify your expression) P(h)=
The company's profit function, P(h), is given by P(h) = -0.002h^2 + 65h - 2200.
The profit function, P(h), can be calculated by subtracting the total cost function, C(h), from the revenue function, R(h).
Profit (P) = Revenue (R) - Total Cost (C)
Given:
R(h) = 140h
C(h) = -0.002h^2 + 75h + 2200
Substituting these values into the profit formula:
P(h) = R(h) - C(h)
= 140h - (-0.002h^2 + 75h + 2200)
= 140h + 0.002h^2 - 75h - 2200
Simplifying further:
P(h) = -0.002h^2 + 140h - 75h - 2200
= -0.002h^2 + 65h - 2200
Therefore, profit function obtained is -0.002h^2 + 65h - 2200.
The profit function P(h) allows the company to assess its financial performance and make informed decisions regarding pricing, production levels, and resource allocation.
By understanding the relationship between the number of headphones sold, production costs, and revenue, the company can determine the level of output that yields the highest profit.
This information is crucial for effective business planning, maximizing profitability, and ensuring the company's long-term success in the highly competitive headphone market.
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Use the image below to determine the type of angle pair, relationship, value of x, and the missing angle measure.
Help, will rate brainlist if correct!!
y = x4 - 5x2
A.) What is the y-intercept of this graph? How do you know? (1 point)
B.) What are the x-intercepts/roots/zeros? Show your work. (4 points)
C.) Describe the end behavior of this function (2 points)
D.) Draw a graph of this function, carefully labeling your intercepts and showing the end behavior.
A. The y-intercept is at the point (0, 0).
B. The zeros are x = 0 or x = ±√5
C.
How to solve the expressionA) The y-intercept of this graph is the point where x = 0.
When x = 0, the value of y
= 0^4 - 5*0^2
= 0.
Therefore, the y-intercept is at the point (0, 0).
B) The x-intercepts/roots of the function are the values of x that make y = 0.
To find these values, we need to set y = 0 and solve for x:
x⁴ - 5x² = 0
x⁴ = 5x²
x² = x⁴/5
x = ±√(x⁴/5)
We can simplify this expression by factoring x² out of both sides:
x²(x² - 5) = 0
x² = 0 or x² - 5 = 0
x = 0 or x = ±√5
hence the x-intercepts are at x = 0 and x = ±√5.
C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.
x → ∞ f(x) → ∞
x → -∞ f(x) → -∞
D) The graph is attached
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Please Help!
Julie earned $402.17 in net pay for working 40 hours. She paid $93.26 in federal and state taxes, and $41.86 in FICA taxes.
What is Julie's hourly wage?
Answer:
she makes $6.676 an hour
Step-by-step explanation:
402.17-93.26-41.86=267.05/40=6.67625
PLEASE ANSWERRRR!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!
The scatterplot for a set of data points is shown. Choose the BEST estimate for R, the correlation coefficient.
Have a good day!!
I would say (1.7, 2.5) would be best for R (im pretty sure its where the blank is at lol)
btw I like your pfp :D
show that the product of lower (resp. upper) triangular matrices is lower (resp. upper) triangular. show that if a lower (resp. upper) triangular matrix is invertible, then its inverse is lower (resp. upper) triangular
The product of lower triangular matrices is lower triangular, and the product of upper triangular matrices is upper triangular. if a lower triangular matrix, upper triangular is invertible, then their inverse is lower triangular, upper triangular.
Let's consider the product of two lower triangular matrices. A lower triangular matrix has all its entries above the main diagonal equal to zero. When we multiply two lower triangular matrices, the entries in the resulting matrix will be the sum of products of corresponding elements from the original matrices. Since the original matrices have zeros above the main diagonal, the resulting matrix will also have zeros above the main diagonal, making it lower triangular.
Similarly, when we multiply two upper triangular matrices, the resulting matrix will have zeros below the main diagonal, maintaining the upper triangular form.
Now, let's consider the invertibility of lower and upper triangular matrices. If a lower triangular matrix is invertible, its inverse will be obtained by taking the inverse of each diagonal element. Since the inverse of a nonzero number is still nonzero, the inverse matrix will also have zeros above the main diagonal, preserving the lower triangular form. The same reasoning applies to upper triangular matrices, where the inverse will be upper triangular.
Therefore, the product of lower triangular matrices is lower triangular, and the product of upper triangular matrices is upper triangular. Additionally, the inverse of a lower (resp. upper) triangular matrix is lower (resp. upper) triangular if the matrix is invertible.
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If 9 x 7 = 3545 and 4 x 3 = 1520 then 6 x 8 = ?
Answer:
4030 or 3040 I think 4030 though
Step-by-step explanation:
I think this is it but 6*8 is 48....I used a little logic so hopefully this is right
Answer:
4030
Step-by-step explanation:
if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545
4x3 = 3× 5, 4×5 which gives 1520
so 6× 8 will give 8×5, 6×5 = 4030