solve this equation step by step x+3*2=12-2*2
Answers
Answer:
Step-by-step explanation:
x+3*2=12-2*2
x+6=12-4
x+6=8
-6 -6
x=2
Related Questions
What is the value today of receiving $1,354.00 per year forever? Assume the first payment is made next year and the discount rate is 15.00%. Currency: Round to: 2 decimal places.
Answers
The present value of receiving $1,354.00 per year forever, with the first payment next year and a discount rate of 15.00%, is approximately $9,026.67.
To calculate the present value of an infinite cash flow, we use the formula: Present Value = Cash Flow / Discount Rate. In this case, the cash flow is $1,354.00 per year, and the discount rate is 15.00%. By plugging these values into the formula, we get Present Value = $1,354.00 / 0.15 = $9,026.67, rounded to two decimal places.
This means that receiving $1,354.00 per year forever has a present value of approximately $9,026.67. The present value represents the worth of the infinite cash flow in today’s dollars, considering the time value of money and the given discount rate.
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Calculate the acceleration of a 40 kg crate of softball gear when pulled sideways with a net force of 200 n
Answers
Answer:
5 m/s²
Step-by-step explanation:
To find the acceleration we apply Newton's second law of motion
F = ma where F is the net force in Newtons, m the mass of the object (kg) and a the acceleration in meters/second² (m/s²)
Given
F = 200 N
m = 40 kg
we have 200 = 40a
So a = 200/40=5 m/s²
2 - Which statement best explains whether the data in the following table represents a linear or nonlinear function?
x y
−4 4
−1 2.5
0 2
4 0
The table represents a nonlinear function because the graph shows a rate of change that is decreasing.
The table represents a linear function because the graph shows a rate of change that is increasing.
The table represents a nonlinear function because the graph does not show a constant rate of change.
The table represents a linear function because the graph shows a constant rate of change.
Answers
Answer:
The table represents a linear function because the graph shows a constant rate of change. The rate of change is increasing, as each increase in x produces an increased output in y, and a decrease in x produces a decrease in y. This indicates that the data represents a linear function.
Answer:The required table represents a linear function because the graph shows a constant rate of change.
What are functions?
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
To determine whether the data in the following table represents a linear or nonlinear function we have to evaluate the rate of change between the ordered pairs, for a linear function rate of change must be constant or else the function will be nonlinear.
Rate of change for (-4, 4) and (-1,2.5)
= 2.5 - 4 / -1 + 4
= 1.5/3
= 1 / 2
Similarly, the rate of change between all other points is also 1/2
Thus, the required table represents a linear function because the graph shows a constant rate of change.
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ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. the relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, m {\text{day}}(t)m day (t)m, start subscript, start text, d, a, y, end text, end subscript, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function: mday(t)
Answers
The mass of the sunfish increases by a factor of 9/7 every 1.05 days.
The growth rate of the ocean sunfish is described by the function M(t) = 3.5(1.05)^t, where t represents the elapsed time in days since the sunfish was born and M(t) represents its mass in milligrams.
To determine the rate at which the mass increases by a factor of 9/7, we need to find the value of t when the mass increases to 9/7 times its initial value.
Let's set up the equation:
M(t) = 3.5(1.05)^t
9/7 × M(0) = 3.5(1.05)^t
Dividing both sides by M(0) (the initial mass), we get:
9/7 = (1.05)^t
Taking the logarithm of both sides, we have:
log(9/7) = log((1.05)^t)
Using logarithmic properties, we can bring down the exponent:
log(9/7) = t × log(1.05)
t = log(9/7) / log(1.05)
Evaluating this expression, we find that the mass of the sunfish increases by a factor of 9/7 approximately every 4.347 days (rounded to three decimal places).
Therefore, the mass of the sunfish increases by a factor of 9/7 every approximately 4.347 days.
Complete Question: Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish.
The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and its mass, M(t), in milligrams, is modeled by the following function:
M(t)=3.5(1.05)^t
The mass of the sunfish increases by a factor of 9/7 every _______ days.
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4. How high must an individual score on the GMAT in order to score in the
highest 5%? (Round to the nearest whole number)
Answers
The scores needed in order to score in the highest 5% of the GMAT are given as follows:
At least 711.
How to obtain the score using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation of GMAT scores are given as follows:
µ = 527, σ = 112.
The highest 5% of scores are composed by scores of the 95th percentile and above, hence the minimum score is X when Z = 1.645.
Then:
1.645 = (X - 527)/112
X - 527 = 1.645 x 112
X = 711.
Missing InformationThe mean and the standard deviation of scores are given as follows:
µ = 527, σ = 112.
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What is the equation in standard form of the line that passes through the point (4,-8) and 2 has the slope of 1/4
Answers
Answer:
x-4y=36
Step-by-step explanation:
standard form is Ax+By=C
Scenario 1A Calculate the following amounts for a participating provider who bills Medicare and has no deductible left. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Coinsurance amount (20% paid by) $ Medicare payment (80 percent of the PFS) $ Provider write-off $ Scenario 1B Calculate the following amounts for a participating provider who bills Medicare and remaining annual deductible for the patient. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Patient pays $100 remaining on their deductible $ Remaining amount for Insurance and patient to pay $ (PFS - $100) Coinsurance amount (20% of remaining amount) $ Total paid by patient (deductible & 20% of remaining) $ Medicare payment (80 percent of the remaining amount) $ Provider write-off $
Answers
Scenario 1A:
Coinsurance amount is $90
Medicare payment is $360
Provider write-off is $290
Scenario 1B:
Remaining amount for Insurance and patient to pay is $350
Coinsurance amount is $70
Total paid by patient is $170
Medicare payment is $280
Provider write-off is $370
Scenario 1A:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Coinsurance amount (20% paid by patient): $
Medicare payment (80% of the PFS): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Coinsurance amount (20% paid by patient):
Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)
Coinsurance amount = 0.2 * $450 = $90
Medicare payment (80% of the PFS):
Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)
Medicare payment = 0.8 * $450 = $360
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $360 = $290
Scenario 1B:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Patient pays $100 remaining on their deductible
Remaining amount for Insurance and patient to pay: $
Coinsurance amount (20% of remaining amount): $
Total paid by patient (deductible & 20% of remaining): $
Medicare payment (80% of the remaining amount): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Remaining amount for Insurance and patient to pay:
Remaining amount for Insurance and patient to pay = PFS - remaining deductible
Remaining amount for Insurance and patient to pay = $450 - $100 = $350
Coinsurance amount (20% of remaining amount):
Coinsurance amount = 20% of the remaining amount
Coinsurance amount = 0.2 * $350 = $70
Total paid by patient (deductible & 20% of remaining):
Total paid by patient = remaining deductible + coinsurance amount
Total paid by patient = $100 + $70 = $170
Medicare payment (80% of the remaining amount):
Medicare payment = 80% of the remaining amount
Medicare payment = 0.8 * $350 = $280
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $280 = $370
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A square sandbox has sides of length 9 ft and a depth of 1 ft. If sand costs $5 / cubic foot, how much will it cost to fill the sandbox with sand?
Answers
The cost spent on fill the box with sand is 405$.
According to the statement
we have given a square sandbox with length 9 ft and depth of 1 ft.
and the rupees of sand per cubic ft is $5
then
Now, we have to find the volume of sandbox with the given length and depth.
So, for this purpose we use Volume formula
V = (a)^3
V = 9*9*1
V = 81 cubic feet
And the cost of sand per cubic feet is $5.
then
The cost of sand for 81 cubic per feet is calculate by multiplication formula then
Total cost of sand = 81*5
Total cost of sand = 405$
So, The cost spent on fill the box with sand is 405$.
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A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
Hint: Use the formula y = P(1 + r)x.
y = 2,000(0.94)x
y = 2,000(1.06)x
y = 2,000(0.06)x
y = 2,000(1.94)x
Answers
Answer:
y = 2,000(0.94)x
Step-by-step explanation:
f(x) = P (1 + r) ^x
P = 2000
r = -0.06
f(x) = 2000 (1 - 0.06)^x
= 2000 (0.94)^x
slope of (0.2,-0.9) (0.5,-0.9) how do i solve this and get the answer
Answers
Step-by-step explanation:
THE SLOPE IS 0
HOPE THIS HELPS
Help pleasee thank you so much in advance
Answers
Answer:
120
Step-by-step explanation:
180 subtract 60 equals 120
Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. Find the probability that a worker selected at random makes between $450 and $500.
Answers
Answer:
13.5
Step-by-step explanation:
Acellus
A traffic study has shown that the probability that 5 cars will pass over a small bridge in a 4-minute period is 0.16.
What are the odds against exactly 5 cars passing over the bridge in that time?
Answers
The odds against exactly 5 cars passing over the bridge in that time are given as follows:
5.25:1.
What is the relation between probabilities and odds?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
An odd, conversely, is calculated as the division of the number of desired outcomes by the number of non-desired outcomes.
The probability(in favor) that 5 cars will pass over a small bridge in a 4-minute period is 0.16, hence the odds are given as follows:
0.16 : (1 - 0.16) = 0.16 : 0.84.
To obtain the odds against, we must exchange the desired and the non-desired outcomes, meaning that the odds against is then given as follows:
0:84 : 0.16.
As the quotient of 84 by 16 is of 5.25, the simplified odd is given as follows:
5.25 : 1.
Meaning that it is 5.25 times more likely that exactly 5 cars do not pass over the bridge over that time rather that they do pass.
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Je n'arrive pas a faire cette exercice donne moi les réponse s'il te plait
Answers
Answer:
a) Non car si le fils a 10 ans la mère a 30 ans et le père 33 or 10+30+33=73
b) Oui car si le fils a 12 ans la mère a 36 ans et le père 39 et 12+36+39=87
Step-by-step explanation:
A line passes through the points (-4, -16) and (0, 12). What is its equation in slope-intercept
form?
Answers
Answer:
\( \large \boxed{y = 7x + 12}\)
Step-by-step explanation:
Goal
Write the equation of a line in slope-intercept form.Given
Coordinate points which are (0,12) and (-4,-16).Step 1
Find the slope by using slope formula or rise over run which is the changes of y over the changes of x\( \large{m = \frac{y_2-y_1}{x_2-x_1}}\)
Substitute the coordinate points in the formula.
\(m = \frac{12 - ( - 16)}{0 - ( - 4)} \\ m = \frac{12 + 16}{0 + 4} \\ m = \frac{28}{4} \longrightarrow \frac{7}{1} \\ m = 7\)
Step 2
Rewrite the equation by substituting the slope in slope-intercept form.\( \large{y = mx + b}\)
Substitute m = 7.
\(y = 7x + b\)
Step 3
Substitute any given coordinate points in the rewritten equation.Substituting any given coordinate points will give the same solution.
Step 3.1
Substitute (0,12) in the equation.\(y = 7x + b \\ 12 = 7(0) + b \\ 12 = 0 + b \\ 12 = b\)
Step 3.2
Substitute (-4,-16) in the equation.\(y = 7x + b \\ - 16 = 7( - 4) + b \\ - 16 = - 28 + b \\ - 16 + 28 = b \\ 12 = b\)
Step 4
Rewrite the equation again by substituting the value of b.\(y = 7x + b\)
Substitute b = 12.
\(y = 7x + 12\)
Hence, the solution is y = 7x+12.
Hope this helps! Any questions about my answer can be asked in comments.
~ Vectør ~
Jim wants to win his classroom's gingerbread house decoratingcompetition. He will outline the front of the house with an edible ribbon.Using the figure below, determine the perimeter of the front of thehouse so Jim can cut the ribbon to the correct length.7.4 in3.4 in9 in
Answers
Jim decorates the front of the house with the ribbon.
In the figure, the dimension of the parts are given
The ribbon used to decorate the front of the house will be equal to the perimeter of the given figure.
Calculate the perimeter of the figure
\(\begin{gathered} P=\text{ 2}\times7.4+2\times3.4+9\text{ } \\ P=30.6\text{ in.} \end{gathered}\)So Jim needs 30.6 in of ribbon to decorate the house.
n/5 - 3n/10 = 1/5
check it please
Answers
Answer:
n=-2
Step-by-step explanation:
when we keep the same base do we multiply the exponent add or subtract
Answers
Answer:
multiply the exponent
Step-by-step explanation:
Answer:
Step-by-step explanation:
Example of Power-to-Power Rule: When we have 1 base and 2 exponents, we MULTIPLY THE EXPONENETS
(M^9)^4 =M^ (9×4) =M^36
the soccer field at bianca’s school has a length of 120 yards and a width of 85 yards. if she runs across the diagonal from one corner to another, how far does she run, in yards? round your answer to the nearest tenth.
Answers
The distance that she runs from one corner of the field to another is given as follows:
147.1 yards.
What is the Pythagorean Theorem?The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.
The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:
d² = 85² + 120²
d = sqrt(85² + 120²)
d = 147.1 yards.
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Which set of numbers could represent the side lengths of a right triangle?
O A. 2, 3, 4
O B.
4, 5, 6
OC. 6, 9,
9, 12
D. 8, 15,
15, 17
Answers
Answer: D) 8, 15, 17
Step-by-step explanation:
In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c² where c is the largest side.
A) 2² + 3² = 4²
4 + 9 = 16
13 = 16 FALSE
B) 4² + 5² = 6²
16 + 25 = 36
41 = 36 FALSE
C) 6² + 9² = 12²
36 + 81 = 144
117 = 144 FALSE
D) 8² + 15² = 17²
64 + 225 = 289
289 = 289 TRUE!
Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,[infinity]). Part 2: Given θ = 495°, convert the value of θ to radians and find sec θ.
Answers
The required answer is sec θ = -√2.
Explanation:-
Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).
To determine three possible angles θ, the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.
Therefore, sec θ = 1/cos θ.To find cos 11π/4, the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.
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The difference of the range and the interquartile range of the data set represented by the box plot is ______.
Answers
Answer:
10
Step-by-step explanation:
==>The range of the data set is the difference between the largest value of the data set (34) and the smallest value of the data set (16).
Range = 34 - 16 = 18
==>The interquartile range is the difference between the Q3 and the Q1.
Q3 = 29 (the data set value at the end of the box to our right)
Q1 = 21 (the data set value at the beginning of the box on our left)
IQR = 29 - 21 = 8
==>The difference between the range and the IQR = 18 - 8 = 10
An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on the other side of the river and suddenly has an idea.
Describe how she will sketch her idea to be able to determine the distance. Make a sketch and support you figure by number use meter as unit.
Answers
Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = \(\frac{opposite}{adjacent}\)
= \(\frac{x}{d}\)
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is \(30^{o}\), and the height of the tree is 10 m, then the distance, d, across the river would be;
d = \(\frac{10}{0.5774}\)
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
Answers
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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If you are interested in purchasing 20 year term life insurance and every $10,000 of coverage costs $1.00 per month, how much would your monthly payment be for $250,000 of coverage?
Answers
Answer: 1,200
Step-by-step explanation:
answer and I’ll give you brainlist !!
graph y <1-3x
Answers
Answer:
Step-by-step explanation:
b
Answer:
yea its b
Step-by-step explanation:
graphed
What is the area of this trapezoid?
Help! I need this please!
Answers
find the domain f(x)=√x-6
Answers
The domain of the square root function is:
x ≥6
How to find the domain of the square root function?Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.
Here we have the square root function:
f(x) = √(x - 6)
Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:
x - 6 = 0
x = 6
Then the domain is the set of all the values equal to or larger than 6.
The domain is: x ≥6
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Compute f′(a) algebraically for the given value of a. f(x)=−7x+5;a=−6
Answers
The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.
To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.
This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.
Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:
f(x) = −7x + 5
⇒ f′(x) = d/dx (−7x + 5)
⇒ f′(x) = d/dx (−7x) + d/dx(5)
⇒ f′(x) = −7(d/dx(x)) + 0
⇒ f′(x) = −7⋅1 = −7
Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7
Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.
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If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
O A.
OB.
O C.
O D.
There is exactly one solution.
There is no solution.
There are infinitely many solutions.
The lines in a system cannot graph as the same line.
Answers
Option C, "There are infinitely many solutions," accurately describes the possible solution or solutions of the system when the graphs of the linear equations coincide.
If the graphs of the linear equations in a system are the same line, it means that there are infinitely many solutions to the system.
The equations are equivalent and represent the same line in the coordinate plane. Every point on the line satisfies both equations simultaneously, making it a solution to the system.
This occurs when the equations are dependent, indicating that they are proportional or represent the same relationship between variables.
Therefore, option C, "There are infinitely many solutions," accurately describes the possible solution or solutions of the system when the graphs of the linear equations coincide.
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