The expression that we can use to substitute into the first equation is
x = - 3y + 12.
Substitution Method:
The algebraic approach to solving linear equations is known as the substitution method. This procedure involves substituting a variable's value from one equation into the other. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.
Here we have
2x + y = 8 ---- (1)
- x - 3y = -12 ----- (2)
We can isolate x in the second equation as given below
=> - x - 3y = -12
Add 3y on both sides
=> - x - 3y + 3y = - 12 + 3y
=> - x = - 12 + 3y
Multiply by -1 on both sides
=> -(- x) = - (- 12 + 3y)
=> x = + 12 - 3y
=> x = - 3y + 12
Therefore,
The expression that we can use to substitute into the first equation is
x = - 3y + 12.
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4x – 3y = 18
Determine the missing coordinate in the ordered pair (5, ?) so that it will satisfy the given equation.
Answer:
Step-by-step explanation:
when x=5, 4(5)-3y=18
3y=2
y=2/3
The coordinate would be(5,2/3)
The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.
What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?
Enter your answer, as a mixed number in simplest form, by filling in the boxes.
Answer: 1 1/2
Step-by-step explanation: I took it on k12
Answer:
The answer is 1 1/2 for K12
ITS THE FOURTH QUESTION
The surface areas of the figures are 336, 82 and 836
How to calculate the surface areasFrom the question, we have the following parameters that can be used in our computation:
The figures
For the triangular prism, we have
Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12
Surface area = 336
For the rectangular prism, we have
Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)
Surface area = 82
For the cylinder, we have
Surface area = 2π * 7 * (7 + 12)
Surface area = 836
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The surface area of the prisms are
1. 336 cm²
2. 82 m²
3. 836 cm²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
A prism is a solid shape that is bound on all its sides by plane faces.
The surface area of prism is expressed as;
SA = 2B +pH
where B is the base area , p is the perimeter and h is the height.
1. SA = 2B +ph
B = 1/2 × 6 × 8
= 24 m²
p = 6+8+10 = 24m
h = 12m
SA = 2 × 24 + 24 × 12
= 48 + 288
= 336 cm²
2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)
= 2( 6+21+14)
= 2( 41)
= 82 m²
3. SA = 2πr( r +h)
= 2 × 3.14 × 7( 7 + 12)
= 44( 19)
= 836 cm²
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¿Cómo puedo encontrar el area total de todas las ventanas en el dibujo?
Supóngase que el 2% de la población en promedio son zurdos. La probabilidad que en 100 personas haya 3 o más zurdos es
The probability of 3 or more deaf people in a sample of 100 is given as follows:
0.3633 = 36.33%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
p = 0.02, n = 100.
The probability of 3 or more deaf people are given as follows:
P(X >= 3) = 1 - P(X < 3).
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Hence:
P(X = 0) = 0.98^100 = 0.1326.P(X = 1) = 100 x 0.02 x 0.98^99 = 0.2707.P(X = 2) = 99 x 50 x 0.02² x 0.98^98 = 0.2334.Thus:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
P(X < 3) = 0.1326 + 0.2707 + 0.2334
P(X < 3) = 0.6367.
P(X >= 3) = 1 - P(X < 3).
P(X >= 3) = 1 - 0.6367.
P(X >= 3) = 0.3633.
TranslationWe suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.
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Your firm purchases a business copier that costs $14,000 and requires $3,000 in maintenance for each year of its four-year life. After four years, the copier will be replaced. The copier falls into the MACRS three-year class life category. Use table 12.8 on page 415 in your textbook for DDB depreciation. If the tax rate is 32 percent, whats the depreciation tax shield for this project in year 4?
Answer:
The depreciation tax shield for this project in year 4 is $178.24.
Explanation:
To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.
From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.
Using the DDB method, we can calculate the depreciation expense for each year as follows:
Year 1: Depreciation expense = $14,000 x 33.33% = $4,667
Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554
Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830
Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557
The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:
$4,667 + $3,554 + $830 + $557 = $9,608
Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:
Depreciation tax shield = Depreciation expense in year 4 x Tax rate
Depreciation tax shield = $557 x 32% = $178.24
Therefore, the depreciation tax shield for this project in year 4 is $178.24.
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U thought this was a professional answer?!!!!??????
You're wrong!!!!!!!!!!!!!!!!!
But the answer is correct though...
:))
PEW PEW PEW
Bing Chilling
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Have a nice day my king:)
Consider this system of equations.
What is the solution to the system of equations?
2.1 + y = 11
2x - 5y = 8
Hello again, I need help on this question, pls help me (:
When Josh babysits, he charges a flat fee of $4 plus an hourly rate of r dollars. Josh worked 4 hours at his last job. The equation below represents the amount Josh earned.
What is Josh’s hourly rate?
Select one:
$5.50
$4.50
$6.50
$1.50
Answer: i think the answer would be 6.50
Hope this helps!
Step-by-step explanation:
Please help! (40 points) Find the common ratio for this geometric sequence. 1 1 1 2'8'32 8, 2, A.1 4 O A. B. 12/1 O B. O C. 4 OD. 2
Answer:
\(\textsf{A.} \quad \dfrac{1}{4}\)
Step-by-step explanation:
Given geometric sequence:
\(8,\;2,\;\dfrac{1}{2},\;\dfrac{1}{8},\;\dfrac{1}{32}\)
The common ratio for a geometric sequence can be found by dividing a term by the previous term.
\(\implies r=\dfrac{a_2}{a_1}=\dfrac{2}{8}=\dfrac{2 \div 2}{8 \div 2} =\dfrac{1}{4}\)
Therefore, the common ratio for the given geometric sequence is 1/4.
Please solve the question in Image
Answer:
y(0.1) = 0.05, y(0.2) = 0.09
what is modified Euler method?Modified Euler's method is a numerical method used to solve ordinary differential equations (ODEs). It is a variation of Euler's method that is more accurate than the original, but still relatively simple to implement. It works by taking a single iteration of the Euler method, then using the midpoint between the current and previous points to calculate the next point in the sequence. This is done in order to reduce the error.
Solution
We have, y(0) = 0
dy/dt = 1 – y
h = 0.1
Using modified Euler's method,
y(0.1) = y(0) + (1/2) h (f(t0, y0) + f(t0 + h, y0 + hf(t0, y0)))
= 0 + (1/2) (0.1) [(1 - 0) + (1 - 0 + 0.1)]
= 0.05
Similarly,
y(0.2) = 0.1 + (1/2) (0.1) [(1 - 0.05) + (1 - 0.1 + 0.1)]
= 0.0975
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In a box of chocolates, 12 of the chocolates are wrapped in red foil. That is 30% of the chocolates in the box. How many chocolates are there?
Answer:
The answer is 40 chocolates in the box in total
An architect created a blueprint of your house using a scale of 1 to 95. On the blueprint, your bedroom is 3 inches long, how many feet long is your actual bedroom?
Your actual bedroom is 23.75 feet long.
If the length of your bedroom on the blueprint is 3 inches and the scale used is 1 to 95, we can use proportions to determine the actual length of your bedroom in feet.
Let's set up the proportion using the given information:
1 inch on the blueprint corresponds to 95 inches in reality.
3 inches on the blueprint corresponds to x inches in reality, where x represents the actual length of your bedroom in inches.
Using the proportion:
1 inch on blueprint / 95 inches in reality = 3 inches on blueprint / x inches in reality
By cross-multiplying:
1 * x = 95 * 3
x = 285 inches
Now, to convert inches to feet, we divide the length in inches by 12:
285 inches / 12 = 23.75 feet
It's important to note that when dealing with blueprints and scales, it is crucial to carefully follow the scale ratio to accurately determine real-life measurements. In this case, the proportion and conversion allowed us to determine the length of your bedroom in feet based on the given blueprint scale.
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HELPPPPPPPPPPPP PLEASEEEEEEEE
Answer:
1/1 or 1
Step-by-step explanation:
1. Find two points from the graph
2. Set them in the slope formula (\(\frac{y^2- y^1}{x^2 - x^1}\))
3. Insert the coordinates into this formula
Points: (0,1) and (1, 2)
2 -1 = 1
1 - 0 = 1
1/1 = 1
the graph of a certain quadratic function has no x-intercepts. Which of the following are possible values or the disriminant?
The possible values for the discriminant include the following:
A. -1
D. -18
What is the x-intercept?In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.
Discriminant, D = b² - 4ac
In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.
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Complete Question:
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.
A. -1
B. 3
C. 0
D. -18
Ramon spent $1 more on peach snack packs than on apple snack packs. Is that True or False
Answer:
True
Step-by-step explanation:
Peach snack packs averagely cost more than apple snack packs so a reasonable solution can be P is greater than A
Pls halppppppppppppppp
Answer:
-6 + 14
8
Step-by-step explanation:
Given: Hank is -6 below feet. He rises +14 feet above level.
-6 + 14 = 8
Addition expression: -6 + 14
Sum: 8
Hope this helped.
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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PLEASE HELP PLEASE (dont do links)
Answer:
B
-2(0)²+24(0)-54
= -54
Answer:
I think its C
Step-by-step explanation:
y intercepts (0,-54)
A Programme Manager has been presented with data related to unauthorisedabsences of the people whom she line manages. The data is shown in Table 3.287AbsencesFrequency9541647 12 4Table 3: Unauthorised absences23a) Explain what an outlier is.b) Calculate the range.c) Calculate the interquartile range.
1) Definition of an Outlier
An outlier is a value in a data set that is very different from the other values. That is, outliers are values unusually far from the middle.
2) Range
The range is the difference between the largest and the smallest number.
Therefore,
The largest absences = 8
The smallest absences = 1
Hence, the range is
\(\begin{gathered} 8-1=7 \\ \therefore Range=7 \end{gathered}\)3) Interquartile range
This is calculated by subtracting the value of the first quartile from the value of the third quartile.
The formula for the first quartile is,
\(\frac{1}{4}(N+1)\)with that we get the position of our first quartile.
Firstly, we need to arrange the data given in ascending order.
Given data
\(N=\text{Total frequency=12+9+7+4+4+3+2=41}\)Therefore, the first quartile is
\(\begin{gathered} \frac{1}{4}(41+1)=\frac{1}{4}\times42=10.5 \\ \\ \end{gathered}\)Hence, the first quartile is 1.
Let us solve for the third quartile
The formula for the third quartile is,
\(\frac{3}{4}(N+1)\)Hence, the third quartile is
\(\frac{3}{4}(41+1)=\frac{3}{4}\times42=31.5\)Therefore, the third quartile is 5.
Hence, the interquartile range is
\(\begin{gathered} 5-1=4 \\ \therefore The\text{ interquartile range=4} \end{gathered}\)
Evaluate the following expressions: 2(−1 + 3) − 7
Answer:
-3 is the answer.
Step-by-step explanation:
=2(-1+3)-7
=2(2)-7
=4-7
=-3
Hope it will help you :)
What is the sum of 1-2 and V-18?
O 4√2
4.Vi
o 5√2
0 5ſi
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Mark this and return
help please
What is the measure of
∠
�
∠xstart color #11accd, angle, x, end color #11accd?
Angles are not necessarily drawn to scale.
∠
�
=
∠x=start color #11accd, angle, x, end color #11accd, equals
∘
∘
Answer:
∠ x = 58°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ BAD is an exterior angle of the triangle , then
x + 56° = 114° ( subtract 56° from both sides )
x = 58°
haley puts these 12 tiles in a bag and shakes the bag.Then she picks a tile at random.What is the probability she picks a tile that is multiple of 3
Answer:
1 in 3 chance
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12
This means there are 4 multiples.
4/12 or 4 ÷ 12 = 1/3
So there is a 1 in 3 chance (33.333%) to get a multiple of 3
The radius of a circle is 19 cm. Find the area
Answer: 1134.11
A=3.14*r^2
Step-by-step explanation:
Answer:
a ≈ 1134.11 cm2
Step-by-step explanation:
The formula:
\(a=\pi r^{2}\)
\(a=\pi (19)^{2} =361\pi\)
\(a=1134.11cm^{2}\)
Hope this helps
Which function is shown in the graph?36-9OAA. V=30О в.= 3 + 6x1-x6xO c. 1+xOD. V=2+xy=12SUBMIT
The graph shows no vertical or horizontal asymptotes. Instead, the asymptote seems to be oblique or slanted. This indicates that the degree of the numerator must be the same as the degree of the denominator.
The removes the first option as a possible answer.
To simplify the solution, you may take up any point on the graph whose coordinates you can clearly identify. Let's take (0, 3).
Let's check if any of the remaining equations contain the point (0, 3).
\(\begin{gathered} y=\frac{3+6x}{1-x} \\ \\ 3=\frac{3+6(0)}{1-0} \\ \\ 3=3\text{ TRUE} \end{gathered}\)\(\begin{gathered} y=\frac{6x}{1+x} \\ \\ 3=\frac{6(0)}{1+0} \\ \\ 3=0\text{ FALSE} \end{gathered}\)\(\begin{gathered} y=\frac{2+x}{1-x} \\ \\ 3=\frac{2+0}{1-0} \\ \\ 3=2\text{ FALSE} \end{gathered}\)Because it is only true for the second option, then the equation must be y = (3 + 6x)/(1 - x).
At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?
Answer:
a
Step-by-step explanation:
Please answer this relatively quickly, I'm not in very much of a rush but would like to get this done.
Answer:
x=23
Step-by-step explanation:
2x-6/4 = 10
2x-6 = 10(4)
2x-6 = 40
2x = 40+6
2x = 46
x = 46/2
x = 23
Can someone help with this? Thank you!
The value of x is 24 and different angles of hexagon will be -
A = 160
B = 142
C = 120
D = 156
E = 31
F = 111
Describe angle.An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.
We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).
Given the figure is hexagon,
the sum of angles of a hexagon is 720,
Upon adding the given angles,
mA = (7x-8)°
mB (4x+46)°
mC = (5x)
mD = (6x+12)°
mE = (x+7)°
mF = (5x-9)°
⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720
⇒ 28x + 48 = 720
⇒ 28x = 672
⇒ x = 24
Therefore, the angles will be -
A = 160
B = 142
C = 120
D = 156
E = 31
F = 111
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What is deviance? Identify the term and provide an overview. Think of a time when you or a
friend used informal negative sanctions. To what act of deviance were you or your friend
responding? Did this reaction help maintain social control? Is it possible to function as a society
without the threat of physical violence to keep people under control? Why or why not?
Deviance is a term used in sociology to describe behavior that violates social norms or expectations. It refers to any behavior that is considered outside of the established rules and expectations of a society or culture.
What are informal negative sanctions?Informal negative sanctions are the social disapproval or punishment that people receive for violating social norms. An example of informal negative sanctions could be a group of friends ostracizing another friend for breaking a social rule, such as not showing up to a planned event.
In terms of the act of deviance, it could be anything from breaking a minor social norm to committing a serious crime. The reaction of informal negative sanctions is often an attempt to maintain social control by encouraging conformity to the established norms of the group or society.
While physical violence is not necessary to maintain social control, the threat of punishment is an important part of any functioning society. People follow the rules and norms of society because they know that if they do not, there will be consequences. However, it is important to note that violence and punishment should not be the only means of social control. Positive reinforcement, such as rewards for good behavior, can also be an effective way of encouraging conformity to social norms.
In summary, deviance refers to behavior that violates social norms, and informal negative sanctions are a way of enforcing social norms. The threat of physical violence is not necessary to maintain social control, but consequences for deviant behavior are essential for any functioning society.
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