Which equation represents a line which is parallel to the line 2y-5x=-162y−5x=−16?
Answers
Answer:
Step-by-step explanation:
For two lines to be parallel to each other, they must have the same slope.
The standard form of expressing equation of a line is y = mx+c
m is the slope.
First let us get the slope of the given line
Given the line 2y-5x = -16
Rerwrite in standard form;
2y-5x = -16
2y = 5x-16
Divide through by 2;
2y/2 = 5x/2 -16/2
y = 5x/2 - 8
The slope of the line is 5/2
Since we are not given options, we can as well say that the equation of the line parallel to this line must have a slope of 5/2 no matter the intercept. Example of such line are;
y = 5/2 x + 2
Related Questions
Use the given frequency distribution to find the (a) class width. (b) class midpoint of the first class. (c) class boundaries of the first class. Height (in inches) Class | Frequency, f 50-52 53-55 56-58 59-61 62-64 12 13 (a) 3 (c) 50-52 (a) 2 (c) 49.5-52.5 (a) 2 (b) 51.5 (c) 50-52 (a) 3 (b) 51 (c) 49.5-52.5 O A. (b) 51 OB, O C. (b) 51.5 ○ D. Click to select your answer.
Answers
The class width, class midpoint of the first class, and class boundaries of the first class of the given frequency distribution is 3, 51, and 49.5-52.5, respectively.
A frequency distribution is a table that shows how often different values or ranges of values occur in a set of data. In other words, it displays the frequency or count of each distinct value or range of values in a dataset.
To find the class width, we need to subtract the lower limit of the first class from the lower limit of the second class (since all the classes have the same width):
Class Width = Lower limit of second class - Lower limit of first class
= 53 - 50
= 3
Therefore, the class width is 3.
To find the class midpoint of the first class, we need to find the average of the lower limit and upper limit of the first class:
Class Midpoint = (Lower limit + Upper limit) / 2
= (50 + 52) / 2
= 51
Therefore, the class midpoint of the first class is 51.
To find the class boundaries of the first class, we first need to subtract the upper class limit for the first class from the lower class limit for the second class and divide it by two.
(Lower class limit of the second class - Upper class limit of the first class)/2
= (53 - 52)/2
= 0.5
Then, subtract the result to the lower limit of the first class and add to the upper class of the first class:
Class Boundaries = (Lower limit - 0.5) to (Upper limit + 0.5)
= (50 - 0.5) to (52 + 0.5)
= 49.5 to 52.5
Therefore, the class boundaries of the first class are 49.5-52.5.
Based on these calculations, the class width is 3, the class midpoint of the first class is 51, and the class boundaries of the first class is 49.5-52.5.
The problem seems incomplete, it must have been...
"Use the given frequency distribution to find the
(a) class width.
(b) class midpoint of the first class.
(c) class boundaries of the first class.
Height (in inches)
Class | Frequency, f
50-52 5
53-55 8
56-58 12
59-61 13
62-64 11
(a) 2 (b) 51.5 (c) 50-52(a) 2 (b) 51.5 (c) 49.5-52.5(a) 3 (b) 51 (c) 50-52(a) 3 (b) 51 (c) 49.5-52.5"Learn more about frequency distribution here: https://brainly.com/question/1094036
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PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
Answers
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
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John's rock collection contains 15 igneous rocks, 9 sedimentary rocks, and 12 metamorphic rocks. If he randomly chooses a rock from his collection, what is the probability it is a sedimentary rock?
Answers
There is a 0.25 percent chance of choosing a sedimentary rock from John's collection based on laws of probability.
We must apply the following formula to determine the likelihood of choosing a sedimentary rock from John's collection:
Probability is calculated as the ratio of favourable outcomes to all other possible outcomes.
The best result in this situation is choosing a sedimentary rock, and the total number of outcomes is equal to the entire number of rocks in John's collection, which is:
Igneous rocks, sedimentary rocks, and metamorphic rocks together make up the total quantity of rocks.
a total of 15 + 9 + 12 stone.
There are 36 rocks in all.
As a result, the likelihood of choosing a sedimentary rock is:
Number of sedimentary rocks divided by the total number of rocks is the likelihood of choosing a sedimentary rock.
picking a sedimentary rock has a 9/36 probability.
25% or 0.25 of the time will a sedimentary rock be chosen.
So, there is a 0.25 percent, or 25%, chance that you will choose a sedimentary rock from John's collection. This indicates that 25% of all the rocks in John's collection are sedimentary rocks, and if one were to choose a rock at random from his collection, there is a one in four chance that they would be sedimentary rocks.
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solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n
Answers
The solution to the inequality expression is n < -9
How to solve the inequality expression?The inequality expression is given as
4n - 6(n + 1) > 12
Open the bracket in the above inequality expression
4n - 6n - 6 > 12
Evaluate the like terms
-2n > 18
Divide both sides by -2
n < -9
Hence, the solution to the inequality expression is n < -9
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I got this answer wrong on my test could someone walk me through this?
Answers
Answer:
1. neither. the slopes are not negative reciprocals of each other, or are they equal.
2. perpendicular. the slopes are negative reciprocals of each other.
Step-by-step explanation:
you're welcome
Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a comma separated list.)
Answers
The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are \(\mathbf{10\sqrt{10 },10\sqrt{10 }}\)
The area is given as:
\(\mathbf{A = 1000}\)
Let the dimension be x and y.
So, we have:
\(\mathbf{A = xy = 1000}\)
Make x the subject
\(\mathbf{x = \frac{1000}{y}}\)
The perimeter is calculated as:
\(\mathbf{P = 2(x + y)}\)
Substitute \(\mathbf{x = \frac{1000}{y}}\)
\(\mathbf{P = 2(\frac{1000}{y} + y)}\)
Expand
\(\mathbf{P = \frac{2000}{y} + 2y}\)
Differentiate
\(\mathbf{P' = -\frac{2000}{y^2} + 2}\)
Set to 0
\(\mathbf{ -\frac{2000}{y^2} + 2 = 0}\)
Rewrite as:
\(\mathbf{ -\frac{2000}{y^2} = -2}\)
Divide both sides by -1
\(\mathbf{\frac{2000}{y^2} = 2}\)
Multiply y^2
\(\mathbf{2000 = 2y^2}\)
Divide by 2
\(\mathbf{1000 = y^2}\)
Take square roots of both sides
\(\mathbf{y = \sqrt{1000 }}\)
\(\mathbf{y = 10\sqrt{10 }}\)
Substitute \(\mathbf{y = \sqrt{1000 }}\) in \(\mathbf{x = \frac{1000}{y}}\)
\(\mathbf{x = \frac{1000}{\sqrt{1000}}}\)
\(\mathbf{x = \sqrt{1000}}\)
\(\mathbf{x = 10\sqrt{10 }}\)
Hence, the dimensions that minimize the perimeter are \(\mathbf{10\sqrt{10 },10\sqrt{10 }}\)
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An orchard sells 6 lb of apples for $13.50.There is a proportion relationship between the cost and the number of apples PLS HELP ME ASAP IT DUE IN 1 MIN
Answers
Answer:
Step-by-step explanation:
What is the exact length of HG in cms
Answers
The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.
Considering angle G, lets find sin 45°\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)
[ sin 45° = 1/√2 ]
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)
\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)
So, the side HG is b√2 cm long
Immediate help needed please.
Can you answer and explain please
Answers
The possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.
What is a quadratic equation?Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)
We have a quadratic equation:
(k - 1)x² + (4k)x + k -3 = 0
Here,
a = k - 1
b = 4k
c = k - 3
As we know for distinct real roots:
D > 0
\(\rm {b^2-4ac}} > 0\)
(4k)² - 4(k-1)(k-3) > 0
\(\rm 16k^2-4\left(k-1\right)\left(k-3\right) > 0\)
\(\rm 12k^2+16k-12 > 0\)
\(\rm 3k^2+4k-3 > 0\)
\(\rm 3\left(k+\dfrac{2}{3}\right)^2-\dfrac{13}{3} > 0\)
\(\rm 3\left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{3}\)
\(\rm \left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{9}\)
\(\rm k < \dfrac{-\sqrt{13}-2}{3}\quad \mathrm{or}\quad \:k > \dfrac{\sqrt{13}-2}{3}\)
or
\(\rm k < -1.868 \quad \mathrm{or}\quad \:k > 0.535\)
Thus, the possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.
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Brendan says that when a rectangle with length 6 cm and width 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled. Explain what is incorrect about Brendan’s statement.
Answers
The area of a rectangle does double when dilated by a scale factor of 2, the Perimeter does not double. It increases by a factor of 2.
Brendan's statement that when a rectangle with a length of 6 cm and a width of 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled is incorrect. While the area of the rectangle does indeed increase by a factor of 2 when dilated, the perimeter does not necessarily double.
Brendan's statement and understand the concept of dilation:
1. Perimeter: The perimeter of a rectangle is the sum of all its sides. In this case, the original rectangle has a length of 6 cm and a width of 4 cm, resulting in a perimeter of 2*(6 cm + 4 cm) = 20 cm. If we dilate this rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The perimeter of the new rectangle is 2*(12 cm + 8 cm) = 40 cm. As we can see, the perimeter has not doubled; it has increased by a factor of 2.
2. Area: The area of a rectangle is calculated by multiplying its length by its width. For the original rectangle with a length of 6 cm and a width of 4 cm, the area is 6 cm * 4 cm = 24 cm². When we dilate the rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The area of the new rectangle is 12 cm * 8 cm = 96 cm². The area has indeed doubled, as Brendan mentioned.
Therefore, while the area of a rectangle does double when dilated by a scale factor of 2, the perimeter does not double. It increases by a factor of 2. It is crucial to differentiate between the effects of dilation on the area and the perimeter of a shape to have a clear understanding of geometric transformations.
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In amelies home town the ratio of cars to people is 4,200 to 5,000. Which of the following equals to this ratio? a)0.21, b) 0.42, c) 0.12, d) 0.84?
Answers
The option that is to equal to the ratio, 4,200 to 5,000, is 0.84
What is ratio?
Ratio mean expressing one variable as a fraction of the other variable, in this case, 4,200 is expressed as a fraction of a bigger number which is 5,000, intuitively, the correct answer in this scenario is 0.84 because when viewed in percentage terms, 4000 is 80%,hence, 4,200 is greater than 4000, it would be more 80% which is 84%, without mincing words, the computation can be done as shown below:
ratio 4,200 to 5,000=4,200/5,000
ratio 4,200 to 5,000=0.84
Invariably, as stated earlier, all the options from a-c are incorrect as they are not even up 0.80, which means 0.84 is the most appropriate
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What's is 20% of 62?
Helpppp
Answers
Answer:
12.4
Step-by-step explanation:
just multiply, or search go.ogle
0.2 * 62 = 12.4
easy
Solve each equation by completing the square.
2x^2+7x=4
Answers
Answer:
x=\(\frac{1}{2}\) or x= -4
Step-by-step explanation:
An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?
A.
{1,2,3,4,5,6,skip,skip}; P(1)=0.125
B.
{1,2,3,skip,4,5,6}; P(1)=0.14
C.
{1,2,3,4,5,6, skip}; P(1)=0.125
D.
{1,2,3,4,5,6}; P(1)=0.17
Answers
Using it's concepts, it is found that the sample space and the desired probability are given by:
C. {1,2,3,4,5,6,skip}; P(1)=0.125
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:
{1,2,3,4,5,6, skip}
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, one out of eight outcomes result in a one, hence:
P(1) = 1/8 = 0.125.
Which means that option C is correct.
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Sales Hester sells televisions. She earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. If Hester sells 15 televisions with extended warranties, she earns $1,500. How much is the fixed amount Hester earns for each television? The fixed amount Hester earns for each television she sells is
Answers
Answer:
$80
Step-by-step explanation:
15(x+20) = 1500
15x + 300 = 1500
Subtract 300 from each side
15x = 1200
Divide each side by 15
x = 80
Fifteen percent of 168
Answers
Answer:
25.2
Step-by-step explanation:
168 x .15 = 25.2
\(\large\text{Hey there!}\)
\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)
\(\huge\text{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{25.2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
5-(-3) PLEASE SHOW WORK AND HURRY
Answers
guys i swar this is the last one just this one and thats it <3
Answers
Answer:
Choice B is the closest
Step-by-step explanation:
A-lateral = 2πrh
r = D/2 = 16.5/2 = 8.25
h = 14
A = 2π(8.25)(14) = 725.7 in²
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answers
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
Please help 10points!
Find x.
Answers
Answer:
The value of x is 19.
Step-by-step explanation:
Given:
m∠1 = (4x + 9)°
m∠2 = (x - 14)°
Since m∠1 and m∠2 are complementary angles, we have:
m∠1 + m∠2 = 90°
Substituting the given expressions for m∠1 and m∠2:
(4x + 9)° + (x - 14)° = 90°
Combining like terms:
4x + 9 + x - 14 = 90
Combining the x terms and the constant terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 90 + 5
Simplifying:
5x = 95
Dividing both sides by 5:
x = 95 / 5
Simplifying further:
x = 19
Please provide the answer
Answers
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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x=1 and y=3
2x+3y-2
plsss helpp <3
Answers
Answer:
9
Step-by-step explanation:
2x + 3y - 2 =9
(2) + (9) -2 =9
Gaspar writes the algebraic expression 5b +3.79.
It represents the total cost, in dollars, of buying 5 bagels
and a container of cream cheese. Identify any variables,
coefficients, and terms in the expression. Tell what
each represents.
Answers
Answer:
B is a variable it is a letter
5 is a coefficient because it's in front of the variable
3.79 is a term because it is just numbers by itself
Step-by-step explanation:
What is the domain of the function in the graph?
Answers
Answer:
7≤r≤12
Step-by-step explanation:
The domain is the values that the input takes
The input goes from 7 to 12
7≤r≤12
Answer: Choice B) \(7 \le r \le 12\)
=============================================================
Explanation:
The domain is the set of allowed x inputs of a function.
How far to the left can we go on this red line? That would be x = 7.
How far to the right? That would be x = 12.
We can have x equal anything between 7 and 12, including both endpoints. We include the endpoints because they are filled in circles (as opposed to open holes).
So the domain is \(7 \le x \le 12\). If we replace x with r, then we update that inequality into \(7 \le r \le 12\). This replacement happens because r is along the horizontal x axis.
Find the equation in slope intercept
Answers
Answer:
y=-1/4x+4
Step-by-step explanation:
The graph starts on 4 so that is your y-intercept
Use slope formula to get the slop (y2-y1 over x2-x1)
Use 2 coordinates for formuls (In your case (0,4) and (4,3))
3-4=-1 4-0=4
slope is -1/4
y= -1/4x+4
A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?
Answers
4,992 divided by 64 is 78
A complex shape combined frim a square and rectangle b=6, c=8, and d=12 what is the area of this complex figure?
Answers
The area of the complex figure is 132 square units
How to determine the area
From the information given, we have that the composite shape is a combination of a:
SquareRectangleThe formula for area of a square is given as:
Area = a ²
Where 'a' is the length of it side
Area = 6²
Area of square = 36 square units
The formula for area of a rectangle is given as:
Area = width × length
Area = 8 × 12
Area of rectangle = 96 square units
Area of the complex figure = Area of square + area of rectangle
= 36 + 96
= 132 square units
Thus, the area of the complex figure is 132 square units
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Solve this system using the substitution method.
-2x – y = -7
x + 7y = 10
Solve using the substitution method and be sure to show all of your work.
Answers
Using the substitution method equation form is x is 3 and y is1
What is substitution method?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.Finding the value of any variable from one equation in terms of another variable is the first step in the substitution method. For instance, if there are two equations,-2x – y = -7 and x + 7y = 10, Applying the replacement approach begins with this.One of the equations' initial variable should be solved for, and the answer should be inserted into the other equation.Form of Point: (3 , 1 )
Equation Form: x = 3 and y =1
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Lee Holmes deposited $17,000 in a new savings account at 9% interest compounded semiannually. At the beginning of year 4, Lee deposits an additional $42,000 at 9% interest compounded semiannually.
At the end of 6 years, what is the balance in Lee’s account? (Use the Table provided.)
Answers
The balance in Lee's account at the end of 6 years is $384,830.53.
What is the balance?The first step is to determine the future value of the initial amount deposited in the savings account.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate = 9% / 2 = 4.50%m = number of compoundingN = number of yearsBalance at the end of 3 years: $17,000 x (1.045)^(3 x2) = $22,138.42
The total value of the account after $42,000 is deposited is:
$42,000 + $22,138.42 = $64,138.42
The future value of $64,138.42 at the end of 6 years is:
Balance at the end of 6 years: $64,138.42 x (1.045)^(3 x2) = $384,830.53
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answer this guys i will give brainliest! have a good day !!!
Answers
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
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