The height of the wall would be 54 inches if the bricklayer works for 9 hours.
Hence, the answer is option B) 54 inches.
What is the slope?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
We can use the information given in the table to create a linear equation relating the time worked and the wall height.
First, we can find the slope of the line that passes through the two points (2, 12) and (5, 30):
slope = (change in y) / (change in x)
= (30 - 12) / (5 - 2)
= 18 / 3
= 6
Now we can use the slope-intercept form of a linear equation to find the equation of the line:
y = mx + b
where m is the slope and b is the y-intercept.
Using the point (2, 12), we can find b:
12 = 6(2) + b
b = 0
So the equation of the line is:
y = 6x
This equation tells us that the wall height is directly proportional to the time worked.
Now we can use the equation to find the height of the wall when the bricklayer works for 9 hours:
height = 6(time worked)
= 6(9)
= 54 inches
Therefore, the height of the wall would be 54 inches if the bricklayer works for 9 hours.
Hence, the answer is option B) 54 inches.
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Find the distance of the blue line.
Distance =
units
The distance of the blue line which starts from point (1,2) and ends at point (4,-2) is 5 units.
What is the distance of the line?The distance formula used in finding the distance between two points is expressed as;
\(d = \sqrt{( x_2 - x_1 )^2 + ( y_2 - y_1 )^2}\)
From the graph, the line starts from point (1,2) and ends at point (4,-2).
Point 1 ( 1,2 )
x₁ = 1y₁ = 2Point 2 (4,-2)
x₂ = 4y₂ = -2Plug these coordinates into the above formula:
\(d = \sqrt{( x_2 - x_1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( 4 - 1 )^2 + ( -2 - 2 )^2}\\\\d = \sqrt{( 3 )^2 + ( -4 )^2}\\\\d = \sqrt{ 9 + 16}\\\\d = \sqrt{ 25}\\\\d = 5 \ units\)
Therefore, the length of the line 5 units.
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Look at the graph below. Is it a function or not a function? Explain your reasoning.
The cost that a recycling company charges is directly proportional to the number of recycling bins collected. The cost is $33 for each bin.
A: Write a direct variation equation to represent the cost.
B: How many bins can a customer pay the company to collect the bins for $500? Write and solve the equation.
C: Suppose the customer plans to tip the recycling company $30, how many bins can the customer get removed for $500 now? Write and solve the equation.
a) The direct variation equation is y = 33x.
b) The customer can pay the company to collect 15 bins.
c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.
A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.
B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:
y = 33x
500 = 33x
x = 500/33
x ≈ 15.15
Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.
C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:
y = 33x + 30
530 = 33x + 30
500 = 33x
x ≈ 15.91
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QUESTIONS: Solve for X
please some help! don't just comment just to comment i really need help
by the Angle sum property of triangle,
55+75+(-6+7x) = 180
=> 130 +(-6+7x) = 180
=> (-6+7x) = 180-130
=> (-6+7x) = 50
=> 7x = 50+6
=> 7x = 56
=> x= 56/7
=> x = 8
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Somebody please help me with my work nobody will help me
I’m crying
Answer:
there is no question plzz attach it first
Mike rode his bike 600 miles and he carried a spare tire on the trip. To provide equal wear on all 3 tires, he changed his tires while traveling. How many miles of wear did each tire accumulate?
Answer:
200 miles per tire
Step-by-step explanation:
To find the distance of how much each tire traveled, we can divide.
600 / 3 = 200 miles per tire
Best of Luck!
Step-by-step explanation:
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Thanks guys
Mwhehe
Please help!
Carolina has two bank accounts, a checking account and a savings account. She has a total of $180 in both accounts. She has $30 more in her savings account than she has in her checking account. How much does Carolina have in her savings account? How much does she have in her checking account?
Answer:
$105
Step-by-step explanation:
Let x be the amount of money Carolina has in her checking account. Then, her savings account has x + $30. The total amount of money in both accounts is $180, so we can write the equation:
x + (x + $30) = $180
Expanding the left-hand side:
2x + $30 = $180
Subtracting $30 from both sides:
2x = $150
Dividing both sides by 2:
x = $75
Therefore, Carolina has $75 in her checking account and $75 + $30 = $105 in her savings account.
3/8n+5(n-6)=1 7/8n-2
Answer:
n = 112/13 = 8.615
Step-by-step explanation:
(3/8) n + 5n - 30 = (17/8)n - 2
(3/8)n +5n - (17/8)n = 30-2
(13/4)n = 28
n = 28 * 4/13
n = 112/13
n = 8.615
There are 10 M&Ms of which 6 are green, in a bowl. You select 2 of them and eat each after it is selected. Is this a binomial experiment? Why or why not?
The experiment is not a binomial experiment.
What is a binomial experiment?
A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.
The conditions for a binomial experiment include:
1. Each trial should be classified either as a success or a failure.
2. There are a fixed number of observations
3. The trials are independent.
4. The number of trials are fixed.
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Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
PLEASE HELP! Find missing side lengths of B and C. Explain
Answer:
b=7 & c=7√2
Step-by-step explanation:
b=7 as it is an isosceles triangle
now using Pythagoras theorem,
(c)^2= (7)^2+(7)^2
⇒(c)^2= 49+49
⇒(c)^2= 98
⇒c= √98
⇒c=7√2
Answer:
b = 7c = 7√2Step-by-step explanation:
You want the missing side lengths in an isosceles right triangle with one side given as 7.
Isosceles right triangleThe two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:
b = 7
The hypotenuse of an isosceles right triangle is √2 times the side length:
c = 7√2
__
Additional comment
You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.
c² = 7² + b²
c² = 7² +7² = 2·7²
c = √(2·7²) = 7√2
The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.
The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.
help with horizontal asymptotes
Answer:
y = 3. last option is correct answer for 2nd question.
Step-by-step explanation:
f(x) just means y.
horizontal asymptote is y = 'something.'
the graph crosses y = 4, so y = 4 cannot be asymptote.
y = 3 is since the graph never quite touches it.
as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.
so the last option is the correct answer.
Janae is at a carnival. She won 420 tickets. She rides two rides for 75 tickets each and attends a concert for 180 tickets. If she can exchange 10 tickets for one prize, how many prizes can she get with her tickets
Answer:
9 Prizes
Step-by-step explanation:
She begins with 420 tickets.
She goes on 2 rides for 75 tickets each so 420-75-75= 270
She then attends the concert for 180 tickets so 270-180= 90
Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9
9 PRIZES
Write a recursive formula for
Answer:
\(a(1) = 144\)
\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)
\(a(n) = - \frac{1}{6} a(n - 1)\)
g(x) = (x + 4)4(x − 9) At x = −4, the graph the x–axis. At x = 9, the graph the x–axis.
Answer:
First ones touches
second ones crosses
Step-by-step explanation:
Edge202
The graph of this function is a parabola which opens upward.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We have been given the following function:
g(x) = (x + 4)(x − 9)
The graph of this function is a parabola which opens upward and whose x-intercepts are:
x + 4 = 0
x = -4
x - 9= 0
x = 9
On the other hand, the y-intercept will be:
g(x) = (x + 4)(x − 9)
g(x) = (0 + 4) (0 − 9)
g(x) = -36
Hence, the graph of this parabola is attached below.
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What is the area of trapezoid ABCD?
Enter your answer as a decimal or whole number in the box. Do not round at any steps.
_____units
Answer:
answer on the picture.....
what is the greatest common factor of 60, 84 and 126?
Answer:
its 6
Step-by-step explanation:
Ver en español
Pam, the CEO of Zettabyte Tek, set up a $750,000 education fund. She wants to give each employee who takes a computer security class a $350 reimbursement toward the cost of the class. You can use a function to describe the amount of money left in the fund after x employees receive the reimbursement.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.
The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).
What does a simple equation represent?An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.
Workers who complete the computer security course will each receive a reimbursement of $350.
We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.
Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.
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can somone help me please ?
Answer:
AEB
Step-by-step explanation:
follow line points
I MEED HELPP WITH THIS PAGE PLSSS
9. The value of x is 7
10. In the figure x = 10
11. The relationship is that their sum is 180 degrees
This relationship is known as the Same-Side Interior Angles Theorem.
12. The statement is true.
Supporting statement: If the two lines are parallel, then the alternate exterior angles created by the transversal line are equal
14 < 3 = 94 degrees
How to find the value of x9. The value of x is solved using the knowledge of corresponding angles are equal
< A = < B
4x = 3x + 7
x = 7
10. In the figure < 3 and < 6 are alternate internal angles which is equal
7x - 10 = 5x + 10
7x - 5x = 10 + 10
2x = 20
x = 10
11. The relationship between the interior angles on the same side is that their sum is 180 degrees
This relationship is known as the Same-Side Interior Angles Theorem. It is a fundamental concept in geometry and is used to solve problems involving parallel lines and transversals.
12. The statement is true.
Supporting statement: If the two lines are parallel, then the alternate exterior angles created by the transversal line are equal
13. The measure of w is solved using the idea of vertical angels
w + 85 = 148
w = 148 - 85
w = 63
14. The mistake is that < 5 is not corresponding angle to < 2
The correct solution is < 3 = < 5 alternate internal angles
< 3 + 86 = 180 supplementary angles
< 3 = 180 - 86
< 3 = 94 degrees
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This isn't actually a math question I just wanted to know how do you become a tutor on here.
Answer:
you have to get to a certain rank and receive an invitation and then you submit a form
Step-by-step explanation:
11 k x + 12kx= 6 for x
Answer:
x=1/4k
Step-by-step explanation:
Hope this helps please give me Brainliest!
What is 3x +(-1) = -10 + 2x PLS HELP!!!
Answer:
x= -9
brainliest plssAnswer:
\(\boxed{\boxed{\tt x=-9}}\)
Step-by-step explanation:
\(\tt 3x+\left(-1\right)=-10+2x\)
\(\tt 3x-1=-10+2x\)
Subtract 2x from both sides:-
\(\tt 3x-1-2x=-10\)
Combine 3x and -2x to get x:-
\(\tt x-1=-10\)
Add 1 to both sides:-
\(\tt x=-10+1\)
Add -10 and 1 to get -9:-
\(\tt x=-9\)
____________________
Hope this helps you!
Have a great day!
y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
Which ordered pair can be added to the table so that y is still a function of x
A. 4,5
B. 2,5
C. 0,4
D. -2,4
Answer:
A. 4,5
Step-by-step explanation:
No x-value can be repeated if the relation is to remain a function. The x-values already in the table are {-4, -2, 0, 2}. This list eliminates all answer choices except the first one: (4, 5) may be added to the table.
On one day at a local minigolf course, there were 414 customers who paid a total of $3,780. If the cost for a child is $9 per game and the cost for an adult is $12 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
x + y = 414
12x + 9y = 3780
x + y = 414
9x + 12y = 3780
x + y = 3780
12x + 9y = 414
x + y = 3780
9x + 12y = 414
These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.
The correct system of equations to model this scenario is:
x + y = 414 (Equation 1)
9x + 12y = 3780 (Equation 2)
In this system, x represents the number of children and y represents the number of adults who played that day.
Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.
Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.
Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.
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What is the end behavior of the function f(x)=5/4x2?
Answer:
i would help but you wrote that in lanix
Step-by-step explanation:
Hence end behavior of function is positive non decreasing.
What is Function?A function is a relationship between a set of inputs and a set of allowable outputs in mathematics. The feature of functions is that each input corresponds to exactly one output. For example, in the function f(x)=\(x^{2}\), any x input will result in only one output.
How to solve?Given function \(f(x)=\frac{5}{4} x^{2}\)
as the function is square of x hence we can clearly see function is positive
Hence end behavior of function is positive non decreasing.
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what is the diagonal of asquare with length 3cm
Answer:
3√2
Step-by-step explanation:
If you draw the diagonal, you have a 45°45°90° triangle.
The two legs are 3, so the hypotenuse is 3√2
On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden. The graph models the growth of
each plant since the day they were planted.
12
11
10
9
8
Height 74
of Plant 6-
(cm) 5
4
3
1
1
3
Days After Being Planted
How many days after being planted were the two plants the same height?
OA 2
B. 3
OC. 5
The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).
How to know if the lines intersect in the graph of a function?
All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.
Now,
On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.
The graph models the growth of each plant since the day they were planted.
The intersection of the two lines represents the days after being planted were the two plants the same height.
The answer is that 2 days after being planted, the two plants are the same height.
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The answer is that 2 days after being planted, the two plants are the same height.
How to know if a point lies in the graph of a function?
All the points (and only those points) which lie on the graph of the function satisfy its equation.Thus, if a point lies on the graph of a function, then it must also satisfy the function.On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.The graph models the growth of each plant since the day they were planted.We need to find How many days after being planted were the two plants the same height.The intersection of the two lines represents the days after being planted were the two plants the same height.The answer is that 2 days after being planted, the two plants are the same height.
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