Given the equation:
\(-8x-y=8\)To graph the line, first, find two points on the line.
(a)When x=0
\(\begin{gathered} -8x-y=8 \\ -8(0)-y=8 \\ 0-y=8 \\ y=-8 \\ \implies(0,-8) \end{gathered}\)(b)When x=-2
\(\begin{gathered} -8x-y=8 \\ -8(-1)-y=8 \\ 8-y=8 \\ y=8-8=0 \\ \implies(-1,0) \end{gathered}\)Join the points (0, -8) and (-1, 0) using a straight line.
Answer:
The graph is attached below:
27 - [ 38 - { 46 - ( 15 - 25) }]
Answer:
45
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
27-[ 38-(46-(15-15))]
=27-38-46-0]
=27-(-8)
=27+8
+35
The line segment joining the points P(-3,2) and Q(5,7) is divided by the y-axis in the ratio:
Answer:
Step-by-step explanation:
The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line, we need to find the slope, which can be calculated using the formula:
m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.
In this case, the coordinates are:
P = (-3, 2) and Q = (5, 7)
So, the slope is:
m = (7 - 2) / (5 - (-3)) = 5 / 8
Next, we can use either of the points to find the y-intercept. Let's use point P:
b = y - mx, where y and x are the y and x coordinate of the point, respectively.
In this case,
b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8
So, the equation of the line joining the points P and Q is:
y = (5/8)x + 89/8
Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.
So, we have:
0 = (5/8)x + 89/8
Solving for x, we get:
x = -(89/8) / (5/8) = -89 / 5
This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.
Let's call the point of intersection with the y-axis R. The distances are then:
PR = (3, 2) and QR = (5 - (-89/5), 7)
The ratio of the distances is then:
PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47
So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.
What is the answer to 18-4K=-10-4k?
Answer:
no solution
Step-by-step explanation:
add 4k to both sides of the equation and you have ...
18 = -10 . . . . false
There is no value of k that will make this statement true. There is no solution.
supposed Yins employer will match ip to 6% of Yins contributions to her 401(k). Her starting salary with the company is 50,000 per year. The company allows her to make contributions to her 401(k) up to a maximum of 15% of her salary
If Yin makes the maximum salary contribution to her 401(k), she will have made a total of $7,950.
How do I calculate percentage?Divide the part by the entire and multiply the result by 100 to obtain the percentage. A number can be expressed as a fraction of 100 by using the percentage, in other words.
If, for instance, there were 50 students in the class and 35 of them passed the test, and you want to know what percentage of those students passed the test, you may determine it by using the formula below.
% = (Number of students who passed / Total number of students) x 100 % = (35 / 50) x 100 % = 0.7 x 100 %
Percentage = 0.7 x 100
Percentage = 70%
If Yin may contribute up to 15% of her annual earnings to her 401(k) and her beginning salary is $50,000, her maximum annual contribution would be:
Maximum donation is = 15% of $50,000.
Maximum donation is 0.15 times $50,000.
Maximum annual contribution = $7,500
Given that Yin's company will match up to 6% of her contributions, the maximum amount they might contribute annually is:
6% of $50,000 is the employer's contribution.
Employer contribution equals 0.6 times $50,000.
Annual employer contribution equals $3,000.
Hence, Yin's company will pay an additional $3,000 year if she contributes the maximum of $7,500 to her 401(k). Yin will contribute a total of $10,500 per year to her 401(k) ($7,500 + $3,000). (k).
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Anwser question in picture
Brainliest if ur correct!!!
Answer:
AD+DG=AG CAN NOT INCLUDED FROM THE PICTURE.
Please this is due in like 10 minutes please help me
Answer:
628
Step-by-step explanation:
1) Find the circumference of the wheel (the distance it travels in 1 revolution)
\(C=\pi d\) where d is the diameter
Plug in 2 ft as the diameter
\(C=(3.14) (2)\\C=6.28\)
Therefore, the circumference of the wheel is 6.28 ft.
2) Multiply the circumference by 100
6.28 × 100
= 628 ft
Therefore, Joe would travel 628 feet if his wheel turns exactly 100 complete revolutions in one direction.
I hope this helps!
Where is the point of concurrency of the median?
The centroid, which is the point of concurrence where the medians of a triangle coincide.
Given,
Point of concurrence of median;
A triangle's median is a segment whose endpoints are the triangle's vertex and the midpoint of the other side. A triangle's three medians are parallel. The centroid, which is always located inside the triangle, is the point of concurrency.
A point of concurrency is an intersection of three or more lines. Amazingly, in every triangle, the medians, perpendicular bisectors, and altitudes are contemporaneous.
Therefore,
The place where the medians of a triangle coincide is called the centroid.
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A florist was packing some roses and lilies into 2 boxes. She packed 1/3 of the flowers into Box A and the rest into Box B. The ratio of the number of roses to lilies in Box A was 1 : 3 and it was 3:1 in Box B. What was the ratio of the total number of roses to the total number of lilies?
=============================================
Explanation:
r = number of roses in box A, some positive whole number
roses : lilies = 1:3
roses : lilies = 1r:3r
Box A has 1r+3r = 4r flowers.
Let T be the number of flowers total. We're told that 1/3 of the total goes to box A.
1/3 of T = 4r for box A
T/3 = 4r
T = 3*4r
T = 12r
There are 12r flowers total when combining both boxes.
Since 1/3 of the total goes to box A, this means 2/3 goes to box B.
2/3 of T = (2/3)*(12r) = 8r flowers go to box B
In short,
4r = number of flowers in box A8r = number of flowers in box BThe two counts add to 12r again. Also note that 8r is twice that of 4r.
The roses to lilies ratio in box B is 3:1, which means the roses count is 3 times that of the lilies. We'll split the 8r into 4 equal pieces since 3+1 = 4.
8r/4 = 2r
This represents the number of lilies in box B.
The number of roses is three times as much, so 3*(2r) = 6r is the number of roses.
As a check, (number of roses in box B) + (number of lilies in box B) = (6r) + (2r) = 8r flowers total for box B.
---------------------------
Let's recap so far
r = number of roses in box A3r = number of lilies in box A6r = number of roses in box B2r = number of lilies in box BWe have r+6r = 7r roses total and 3r+2r = 5r lilies total.
The ratio of total roses to total lilies is 7r:5r. Divide both parts by the GCF r and we end up with the final answer of 7:5
The ratio of the total number of roses to the total number of lilies is 3:1.
RatiosGiven that a florist was packing some roses and lilies into 2 boxes, and she packed 1/3 of the flowers into Box A and the rest into Box B, and the ratio of the number of roses to lilies in Box A was 1 : 3 and it was 3:1 in Box B, to determine what was the ratio of the total number of roses to the total number of lilies, the following calculation must be made:
1:3 + 3:1 = 4:44:4 x 1/3 = 1/3Therefore, the ratio of the total number of roses to the total number of lilies is 3:1.
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Find the area of each figure
I need help please asp !!!
Answer:
They are all equal and identical in form; coinciding exactly when superimposed.
Step-by-step explanation:
Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars.
The amount of money in Marianna's annuity after 6 years will be approximately $300,516.
To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:
A = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where:
A = the final amount in the annuity
P = the regular contribution (each quarter) = $10,000
r = annual interest rate = 8% = 0.08
n = number of compounding periods per year = 4 (since it's compounded quarterly)
t = number of years = 6
Plugging in the values:
A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)
Calculating this expression:
A ≈ 10000 * ((1.02)^24 - 1) / 0.02
A ≈ 10000 * (1.601032449136241 - 1) / 0.02
A ≈ 10000 * 0.601032449136241 / 0.02
A ≈ 10000 * 30.05162245681205
A ≈ 300,516.22
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Answer:
304200
Step-by-step explanation:
To find the value of P6, use the savings annuity formula
PN=d((1+r/k)N k−1)r/k.
From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives
P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).
Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.
Rounding as requested, our answer is 304200.
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
What is the meaning of "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un"?
The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.
What does the phrase imply?When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.
The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.
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2. PHOTOGRAPHS Tracy is 4 feet tall and
her father is 6 feet tall. In a photograph
of the two of them standing side by side,
Tracy's image is 2 inches tall on the scale
Although their images are much
smaller, the ratio of their heights
remains the same. How tall is Tracy's
father's image in the photo? What is
the scale of the photo?
Answer:
below
Step-by-step explanation:
Scale is 1 inch = 2 feet
Tracy's height is 1/2 the number of feet in inches
her father's height is then 3 inches
Work out the mean age of the team.around your answer to 1 decimal place
A new player joins and raises it to 22 years
how old is the player
1. The mean age of the team is 21 years.
2. The age of the new player is 34 years
How to calculate the mean?1. From the information, the following can be deduced:
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
Mean = Age × Frequency / Sum of frequency
= [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
Sun of frequency = 2 + 3 + 1 + 4 + 1= 11
Mean(X) = 230 / 11
X = 21
The mean is 21 years.
2. A new player joins and raises it to 22 years. Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
The age is 34 years.
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Complete question
The table shows the ages of players on a football team.
Age
Frequency
a) Work out the mean age of the team.
Round your answer to 1 decimal place.
19
2.
20
3
21
1
b) A new player joins the team and raises
the mean age to 22.
22
4
23
1
Work out the age of this new player
Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids
The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).
To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.
A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:
A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.
B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.
C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.
D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.
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· Lucy buys 3 apples and 6 mangos for a total of $9.15.
· Amir buys 8 apples and 4 mangos for 11.92.
What is the cost of a single apple?
Answer:
0.97
Step-by-step explanation:
Let x be the cost of apples
Let y be the cost of mangoes
3x + 6y= 9.15......equation 1
8x + 4y= 11.92........equation 2
Multiply equation 1 by 8 and equation 2 by 3
24x + 48y = 73.2
-
24x + 12y = 35.76
36y = 37.44
y = 37.44/36
y= 1.04
Substitute 1.04 for y in equation 1
3x + 6y = 9.15
3x +6(1.04)= 9.15
3x + 6.24= 9.15
3x = 9.15-6.24
3x = 2.91
x = 2.91/3
x = 0.97
Hence the price of a single apple is 0.97
The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder has the same base area and height. What is the volume of the cylinder?
Given:
A prism has a base area of \(20\pi \) square units and a volume of \(120\pi\) cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:
\(V=Bh\)
Where, B is the base area and h is the height of the prism.
The volume of cylinder is:
\(V=\pi r^2h\)
\(V=Bh\)
Where, r is the radius, h is the height of the cylinder and \(B=\pi r^2\) is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is \(120\pi\) cubic units.
Answer:
120 pi cubic units
Step-by-step explanation:
Who is better math or science
SCIENCE CAUSE MATH HARDDDDDDDDDDDDDDDDDDDDD
Answer:
science
Step-by-step explanation:
A box contains 4 red pens, 3 blue pens, and 5 black pens. A pen is selected at random, not replaced, and then a second pen is selected. Find probability of: P(red, then blue)
Answer:
bbbbbb
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Find the measure of each angle indicated. Round to the nearest tenth.
The measure of the given angle , given the dimensions of the sides , is 50 degrees .
How to find the angle ?The measure of the indicated angle can be found by using Cos function because the given dimensions are the adjacent and hypotenuse measurements to the ∠ ABC .
The measure of the angle ∠ ABC will then be :
Cos ∠ ABC = 9 / 14
Cos ∠ ABC = 0. 6428571
∠ ABC = Cos ⁻ ¹ ( 0. 6428571)
∠ ABC = 49. 99
∠ ABC = 50 degrees
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Line j has an equation of y=–
9
7
x+
10
7
. Line k is parallel to line j and passes through (–
4,4). What is the equation of line k?
The equation of the line k parallel to line j and passes through (-4, 4) is
y = - 9 / 7 x - 8 / 7
How to find equation of a line?Equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line k is parallel to the line j, y = - 9 / 7 x + 10 / 7 and passes through (-4, 4),
Parallel lines have the same slope.
Hence, let's find the y-intercept of the equation k using (-4, 4)
4 = - 9 / 7 (-4) + b
4 - 36 / 7 = b
b = - 8 / 7
Therefore,
the equation is y = - 9 / 7 x - 8 / 7
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Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Find the 46th term 10,17,24
Answer:
325
Step-by-step explanation:
Notice you are adding 7 everytime.
So the sequence would be:
a(n) = 10 + 7n
n=0 gives a(0)=10, which is the first term.
so the 46th term has n=45.
a(45)=10 + 7*45=325
Answer:
325
Step-by-step explanation:
since the series have the same common difference(d) is known as arithmetic progression so 46th is obtained by 46th=1term+45d but d is obtainned by taking difference between 1st and 2nd term or 2nd and 3rd term and 1st term=10
Solve each equation by taking square roots NEED THIS ASAP WILL GIVE BRAINLIEST
Answer:
#3. n = 1#5. x = 2Step-by-step explanation:
#3.
n x n - 5 = -4
n x n = 5 + -4
n x n = 1
n = 1
#5.
7x^2 + 1 = 29
7x^2 = 29 - 1
7x^2 = 28
x^2 = 28 / 7
x^2 = 4
x = 2
Hope that helps!
HELP URGENT …What is the range ?
(also if you can, can you help with my other asked questions you’d be a life saver)
Answer:
B [-4, + ∞)
Step-by-step explanation:
Minimum Y min = -4 {From the graph}
Honestly, it's hard to explain, sorry
Ullany TVd How much 20k stamps can #2.00 buy
Answer: 4000
Step-by-step explanation:
Suppose the prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between $149,000 and $151,000 if the standard deviation is $1000
The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .
We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.
Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.
In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:
z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1
Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:
0.8413 - 0.1587 = 0.6826
We can get the percentage of consumers who spent between by multiplying this by 100% is \($149,000\) and \($151,000\):
0.6826 x 100% = 68.26%
Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\) for this model of new homes.
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The Centers for Disease Control conducts an occasional study of youth behaviors that affect health. They randomly sample several thousand children between the ages of 10 and 18 in the United States and ask (with parents' permission) a series of questions. In a recent sample of 15000 randomly selected youth, 11% of them said that they had vaped on 1 or 2 days in the last 30 days. Which of the following best describes the number 111%?
a. 11% is a statistic and is represented symbolically as Ï = 0.11
b. 11% is a statistic and is represented symbolically as rho = 0.11
c. 11% is a parameter and is represented symbolically as rho=0.11
d. 11% is a parameter and is represented symbolically as Ï = 0.11
Answer:
b. 11% is a statistic and is represented symbolically as p = 0.11
Step-by-step explanation:
A statistic differ from a parameter in that, statistic is a numerical property or value derived from the sample while the parameter is a numerical property of the population. The percentage given, 11% who said that they had vaped on 1 or 2 days in the last 30 days is derived from the 15000 youths which is a sample and not a population, hence, 11% is a statistic, since it is expressed as a percentage, it is a proportion ;
Hence, 11% is a statistic and can be represented symbolically as p = 0.11
a drama class has 33 students the number of females is 5 less than the number of males. how many females and how many males were in the class?
Step-by-step explanation:
Let's start by defining some variables:
Let's call the number of males in the class "m"
We know that the number of females is 5 less than the number of males, so we can say that the number of females is "m - 5"
We also know that there are 33 students in total, so we can say that:
m + (m - 5) = 33
Simplifying the equation:
2m - 5 = 33
Adding 5 to both sides:
2m = 38
Dividing both sides by 2:
m = 19
So there were 19 males in the class.
To find the number of females, we can use the equation we defined earlier:
f = m - 5
f = 19 - 5
f = 14
So there were 14 females in the class.
Therefore, there were 19 males and 14 females in the class.