Answer:
6
Step-by-step explanation:
5+3−2
=8−2
=6
---------
Solve.
4 There are 42 tubes of oil paint on trays. Each tray
holds 6 tubes. How many trays of tubes are there?
Show your work.
7
Answer: 7
Step-by-step explanation:
Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.
Determine whether each expression is equivalent to
2x + 4y – 5 + 3x + 8 – 4y.
Check the box for Yes and leave blank for No.
x + x + y + y + y + y - 5 + x + x + x + 8 - 4y
6xy + 3 - 4y
-8y + 5x - 3
5x + 3
The algebraic expressions, \(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\) and \(5x + 3\) are equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\)
To determine whether each expression is equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\), apply the knowledge of algebra to solve each of the following in it's simplest form.
First, simplify \(2x + 4y - 5 + 3x + 8 - 4y\) as follows:
Add like terms
\(2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3\)
Next, compare or simplify where necessary each of the given algebraic expressions with \(5x + 3\)
First Option
\(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\)
Add like terms together
\(2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3\)
Therefore, \(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\) is equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\)
Check the box for YES.Second Option:
\(6xy + 3 - 4y\) (cannot be simplified further)
\(6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y\)
Therefore:
Leave the box BLANK for NO.Third Option:
\(-8y + 5x - 3\) (cannot be simplified further)
\(-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y\)
Therefore:
Leave the box BLANK for NO.Fourth Option:
\(5x + 3\)
\(5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y\)
Therefore:
Check the box for YES.Thus, the algebraic expressions that are equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\) are:
\(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\)\(5x + 3\)Learn more about algebraic expressions here:
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mx=n+p ,for x
step by step aswell please
The solution for x from the linear equation is x=(n+p)/m .
Linear equation is a equation where the greatest degree of the variable is 1 in the equation.
A basic linear equation in the variable x is of the form ax+b =0 where b is a constant and a is the co-efficient of x.
To solve a linear equation for x we use the simple mathematical operations to make x the subject of the formula.
Given equation is:
mx=n+p
We have to find the value of x.
So we can see that the variable x has a constant co-efficient m
to make x the subject we divide both sides of the equation by m.
Therefore:
mx÷m=(n+p)÷m
or, x=(n+p)/m
So on solving the linear equation we get the value of x as (n+p)/m
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If $500 were deposited into an account paying 5% interest, compound monthly, how much would be in the account in 4 years?
Please show me proper work and a good explanation on how you got said answer.
Answer:
610.48
Step-by-step explanation:
The formula for compound interest is
A = P(1+r/n) ^nt where
A is the amount in the account
P is the principle
r is the interest rate
n is the number of times the interest is compounded per year
t is the time in years
A = 500(1+.05/12) ^12*4
A = 500(1+.0041666666) ^48
A = 500(1.0041666666) ^48
A = 500*1.220895355
A =610.4476775
Rounding to the nearest cent
A = 610.48
Dimensions are not necessary on an Isometric drawing
True
False
Answer:
true
Step-by-step explanation:
If XZ=8x-18 and RZ = 2x+5 find XR
Answer:
6x+23
Step-by-step explanation:
8x-18+2x+23
8x-2x+5+18
6x+23
Answer:
XR=19
Step-by-step explanation:
Since the entire thing of XZ equals 8x-18 and one side of the line equals 2x+5 we will need another half to get the entire thing.
8x-18=4x+10
4x=28
x=7
Now we have to plug the x in
2(7)+5
=19
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
A. 25
B. 30
C. 75
D. 83
Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times
Step-by-step explanation: Please mark brainliest
Answer:
75 -- i think
Step-by-step explanation:
let me know if im right.
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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A patient is given 800mg of ibuprofen. The average half-life of ibuprofen is about 1.8 hr. Write an exponential model of the form P(t)=P0e^kt that represents the amount of ibuprofen in the patients bloodstream in t hours after the medicine is administered. Round the value of k to five decimals. Then use the model to determine how much ibuprofen will be in the patients bloodstream after he is given a second dose of 800 mg in 4 hr after the first dose. Round your answer to two decimals places
An exponential model of the form that represents the amount of ibuprofen in the patients bloodstream in t hours after the medicine is administered is \(P(t) = 800e^{\frac{t}{1.8} }\).
The amount of ibuprofen that would be in the patients bloodstream after he is given a second dose of 800 mg in 4 hr after the first dose is 7382.25 mg.
How to determine the correct statement about the future value?In Mathematics, the future value of a physical substance based on its half-life can be determined or calculated by using this exponential function:
\(P(t) = P_{0}e^{\frac{t}{T} }\)
Where:
A(t) represents the future value.P₀ represents the initial value.T represents the half-life.t represents the time measured in years.Based on the information provided above, the required exponential function is given by;
\(P(t) = 800e^{\frac{t}{1.8} }\)
After 4 hours, we have;
\(P(4) = 800e^{\frac{4}{1.8} }\\\\P(4) = 800e^{2.2222}\)
P(4) = 7382.25 mg
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If 1 pound of mesquite-smoked, deli-sliced turkey breast cost $7.98 at the second-largest grocery store in town, and each slide is about 1 ounce, what is the cost of 5 slices?
Answer:
$2.49
Step-by-step explanation:
$7.98 ÷ 16oz = $.49875 per slice
$.49875 * 5 slices = $2.49375
In 2015, the average distance from Earth to the moon was about 3.74 x 105 km. The distance from Earth to Mars was about 9.25 x 107 km. How much farther is traveling from Earth to Mars than from Earth to the moon? Write your answer in scientific notation.
Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.
The distance from Earth to the moon is approximately 3.74 x 10^5 km.
The distance from Earth to Mars is approximately 9.25 x 10^7 km.
To find the difference, we subtract the distance to the moon from the distance to Mars:
9.25 x 10^7 km - 3.74 x 10^5 km
To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:
3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)
Now we can perform the subtraction:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km
To subtract, we subtract the coefficients and keep the same exponent:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km
Simplifying the subtraction:
9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km
Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.
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Please help me
Tell me where to share the parts and tell me the most specific name for each triangle.
Don’t answer with a blank answer or one answer and no ridiculous answer please this is serious
Answer:
1) obtuse triangle
2) equilateral triangle
3) isosceles triangle
4) equilateral triangle
5) scalene triangle
6) acute triangle
7) right triangle
8) obtuse triangle
9) acute triangle
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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Maria sold 91 tickets and Sarah sold 70 tickets. What is the ratio of the number of tickets Maria sold to the total number of tickets sold?
Answer:000000 mdmdjdjc
Step-by-step explanation:ok
plss help me for branleist
Answer: x=67
Step-by-step explanation:
All of the angles add up to 180 for a triangle
38 + 75 + x = 180 >combine like terms (the numbers)
113 + x = 180 >subtract 113 from both sides
x=67
Answer:
x = 67°Step-by-step explanation:
We know that,
\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)
\( \large \sf \: → x +38° + 75° = 180°\)
\( \large \sf \: → x + 113 = 180°\)
\( \large \sf→ x = 180°- 113°\)
\( \boxed{\large \bf→ x = 67° }\)
the moon is about 1.2x 10^9 killometers from earth.what is the distance in standerd form
Answer:
1 200 000 000
Step-by-step explanation:
this is the answer
the soccer team manager plans to have 2 gallons of water for every 4 players on the team during practice. determine whether the statements about ratios are true or false.
A. The team manager needs 1 gallon of water for every 1 player
` true or false
B. The ratio of number of players to gallons of water is 2:1
` true or false
C. The team manager ould need 4 gallons of water for 10 players
` true or false
D. For 30 players, the team manager would need 15 gallons of water ` true or false
Answer:
A.=False
B.=True
C.=False
D.=True
Step-by-step explanation:
The original ration is 2 gallons of water for 4 players.
Each player requires 1/2 gallon of water.
To get the amount of water needed multiply 1/2 by the amount of players.
1*(1/2) does not equal 1
2*(1/2) equals 1
10*(1/2) does not equal 4
30*(1/2) equals 15
among all simple closed curves in the plane oriented counterclockwise find the one alon which the work done
Using the Green's Theorem, the one along which the work done by the force is 11π/16.
In the given question we have to find the one along which the work done by the force is the greatest.
The given closed curves in the plane is
\(F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}\)
Suppose C be a simple smooth closed curve in the plane. It is also oriented counterclockwise.
Let S be the interior of C.
Let P = \(\frac{x^{2}y}{4} + \frac{y^3}{3}\) and Q = x
So the partial differentiation is
\(\frac{\partial P}{\partial y}=\frac{x^2}{4}+y^2\) and \(\frac{\partial Q}{\partial x}\) = 1
By the Green's Theorem, work done by F is given as
W= \(\oint \vec{F}d\vec{r}\)
W= \(\iint_{S}\left ( \frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right )dxdy\)
W= \(\iint_{S}\left ( 1-\frac{x^2}{y}-y^2 \right )dxdy\)
Let C = x^2+y^2 = 1 and
x = rcosθ, y = rsinθ
0≤r≤1; 0≤θ≤2π
There;
W = \(\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )\left|\frac{\partial(x,y)}{\partial{r,\theta}}\right|d\theta dr\)
and \(\frac{\partial (x,y)}{\partial(r, \theta)}=\left|\begin{matrix}\cos\theta &-r\sin\theta \\ \sin\theta & r\cos\theta\end{matrix} \right |\) = r
Thus;
W = \(\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )rd\theta dr\)
After solving
W = 11π/16
Hence, the one along which the work done by the force is 11π/16.
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The right question is:
Among all simple smooth closed curves in the plane, oriented counterclockwise, find the one along which the work done by the force:
\(F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}\)
is the greatest. (Hint: First, use Green’s theorem to obtain an area integral—you will get partial credit if you only manage to complete this step.)
im having a mental breakdown HELPPPP!
3) Use the situation to choose the correct answer.
A radioactive substance loses its mass at a rate of 12% every second. At the beginning
of an experiment, the substance has a mass of 6 centigrams.
After 5 seconds, how much mass is left of the radioactive substance? Round your
answer to the nearest hundredth centigram.
5.28 cg
03.17 cg
O 3.60 cg
O 0.72 cg
Answer: 3.60 cg
Step-by-step explanation:
just did the assignment
On Thursday, a local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Answer:
252 Cheese Bugers were sold on Thursday
Step-by-step explanation:
378 divided by 3=126
126+126= number of hamburgers
126= number of chese bugers
126+126=252
Normal distribution has a mean of 98 and standard deviation of 6. What is P(x > 104)
The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.
What is Prοbability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:
z = (x - μ) / σ
where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.
Plugging in the values, we get:
z = (104 - 98) / 6 = 1
Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.
Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.
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5x+4y=20
Find the x intercepts and graph the line. Your x and y intercepts must be written as a point .
Let's solve for x.
5x+4y=20
Step 1: Add -4y to both sides.
5x+4y+−4y=20+−4y
5x=−4y+20
Step 2: Divide both sides by 5.
5x/5 = -4y+20/5
x= -4/5y + 4
Answer is -4y+20/5
The X-intercepts are (4,0).
The Y-intercept is (0,5).
I uploaded a picture of the graph below.
Congratulations. You received a score of 3.4 on your annual review. Merit increases are given out starting at .5% at a score of 2.6 and it goes up 1% every .4 points. So, I will be receiving an increase of what?
To calculate the merit increase based on your annual review score, we can use the given information that merit increases start at 0.5% for a score of 2.6 and increase by 1% every 0.4 points.
First, we need to determine the difference between your score and the starting score of 2.6:
3.4 - 2.6 = 0.8
Next, we divide this difference by 0.4 to determine the number of 0.4-point intervals:
0.8 / 0.4 = 2
Since each 0.4-point interval corresponds to a 1% increase, we multiply the number of intervals by 1% to find the total increase:
2 * 1% = 2%
Therefore, you will be receiving a merit increase of 2%.
If the temperature in Chicago is -5 degrees and the temperature in Moscow is 8 degrees colder. What is the temperature in MOSCOW?
A. 3 degrees
B. -13 degrees
C. -3 degrees
D. 13 degrees
Answer:
B. -13
Step-by-step explanation:
If it's 8 degrees COLDER you would have to add 5 to 8 (13) and add your negative sign because it's -5 degrees in Chicago.
Suppose you are given a rectangular piece of cardboard having length 6x+2 inches and width 2x−4 inches. Then you cut out a square from this piece of cardboard having side length x inches. Find the area of the remaining piece of cardboard expressed in terms of x.
To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.
Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.
The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.
This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16
Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.
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The standard deviation of a population is 1.9. What is the margin of error? Enter your answer in the box. ±
The margin of error is defined as follows:
M = 1.9z/sqrt(n).
In which:
z is the critical value.n is the sample size.What is a z-distribution confidence interval?The bounds of the confidence interval are given as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.The margin of error is then given as follows:
\(M = z\frac{\sigma}{\sqrt{n}}\)
Missing InformationThe problem is incomplete, hence the general procedure to obtain the sample size was presented.
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What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Question 1: 5 pts
Bill wants to plant roses in his triangular plot. There will be 1 plant at a corner. Each row will have 6
additional plants. He wants the plot to have as many lows as possible with 150 rose plants. How many
rows will Bill's plot have?
O 7 rows
O 8 rows
O 6 rows
O 5 rows
The arrangement of the rose plants on the triangular plot is such that they
form a series or progression that is defined.
The number of rows on Bill's plot is; 8 rows
The given parameters for the triangular plot are;
Number of plants at the corner = 1 plant
Number of additional plants per row = 6 plants
Number of rose plants = 150 rose plants
The number of rows in the plot.
The difference between successive rows, d = 6
The number rose at the top vertex, a = 1
Therefore, the rose in the garden forms an arithmetic progression
The first term, a = 1
The common difference, d = 6
The number of rows Bill's plot will have, n is given by the sum of n in terms of
an arithmetic progression, Sn, is given as follows;
\(S_n=\frac{n}{2}[2a+(n-1)\times d\)
When Sn = 150, we get;
\(150=\frac{n}{2} [2\times 1+(n-1)\times 6\)
150 = 3·n² - 2·n
3·n² - 2·n - 150 = 0
Taking only the positive solution for n, we have;
\(n_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:3\left(-150\right)}}{2\cdot \:3}\)
\(n_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{451}}{2\cdot \:3}\)
\(n=\frac{1+\sqrt{451}}{3},\:n=\frac{1-\sqrt{451}}{3}\)
The number of rows Bill's plot has, n ≈ 7.3965
Given that the 7th row is completed, an 8th row will be present on Bill's plot
The number of rows Bill's plot will have = 8 rows
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Identify the error in generating and expression equivalent to 4 + 2x - 1/2(10 - 4x). Then the correct the error
The error in the expression 4 + 2x - 1/2(10 - 4x) is the missing parentheses.
What is parentheses?Parentheses are a sort of punctuation mark that is used to separate or distinguish content inside a phrase. They frequently assist to clarify the meaning of a statement by adding information. Parentheses can also be used to denote a break or to divide items in a list.
Error in the given question: Missing parentheses
Corrected expression: 4 + 2x - 1/2(10 - 4x)
How can the error be corrected?The problem may be fixed by ensuring that the proper syntax is used when declaring variables. If the variable is a string, for example, it should be stated as "var myVariable ='string value';". If it is an integer, define it like "var myVariable = 42;".
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