The x-intercept of given equation is x=6 and point is (6,0).
Given the equation is -5x+3y=-30.
Here, we will find the x-intercept of the given equation.
The x-intercept is the point at which a line intersects the x-axis and the y-intersection is the point where a line intersects the y-axis.
We will find the x-intercept by substituting y=0 and applying the inverse operations.
Firstly we will substitute y=0 in equation, we get
-5x+3(0)=-30
Now, we will simplify this, we get
-5x+0=-30
-5x=-30
Further, we will divide both sides with -5, we get
-5x/-5=-30/-5
x=-6
Hence, the x-intercept of the given equation -5x+3y=-30 is x=6.
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The equations of two lines are given. Determine whether the lines L₁ and L2 are parallel, perpendicular, or neither
4₁: y = x + 1; L₂: y = - 6/5x + 3
The slope of the two equations is required to answer this
What is an equation?
An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
Given equation
[tex]y=x+1[/tex] has slope [tex]m1=1[/tex]
and the other equation
[tex]-\frac{6}{5}x+3[/tex] has slope [tex]m2 =-\frac{6}{5}[/tex]
For parallel equations, [tex]m1=m2[/tex]
and for perpendicular equations, [tex]m1[/tex]x[tex]m2=-1[/tex]
These two equations are neither parallel nor perpendicular.
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5x - 4 > 12 AND 12x + 5 < -4
Answer:
x = between -3/4 and 3_1/5
x > 3_1/5 AND x < -3/4
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
63, 49, 44, 46, 30, 52, 45, 46, 41, 25, 55, 65, 59, 48, 63,
66, 58, 44, 51, 29, 37, 62, 40, 46, 35, 39, 46, 31, 20, 41,
67, 35, 38, 45, 27, 32, 42, 30, 35, 50.
Construct a stem-and-leaf plot for the data. Complete parts a. and b.
Here is the stem-and-leaf plot
Stem Leaves
2 1, 2, 5, 9
3 1, 1, 2, 3, 4, 5, 6, 8, 9
4 1, 1, 3, 4, 4, 4, 5, 5, 5, 8, 8, 8, 9, 9,
5 0, 0, 3, 3, 8, 9
6 2, 3, 3, 6, 7, 7
The shape reveals that the greatest number of professors are in their 40s.
What is stem-and-leaf plot?A stem-and-leaf plot is a table that is used to display numbers. It is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 21, 2 would be the stem and 1 would be the leaf.
An advantage of the stem-and-leaf plot is that all the data in the data set are shown. A drawback of a stem-and-leaf plot is that it can only be used for a small dataset.
Looking at the stem-and-leaf plot, it can be seen that the professors in their 40s have the highest frequency. They are 14 professors in their 40s.
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If w = 22, what is the value of 4w − 12? 14 76 100 410
Answer:
76
Step-by-step explanation:
i need 20 words but i gave a pic of explanation u should learn
Wheeler’s Bike Company manufactures custom racing bicycles. The company uses a job order cost system to determine the cost of each bike. Estimated costs and expenses for the coming year follow:
Bike parts $ 350,000
Factory machinery depreciation 55,000
Factory supervisor salaries 140,000
Factory direct labor 300,000
Factory supplies 7,500
Factory property tax 37,500
Advertising cost 14,500
Administrative salaries 80,000
Administrative-related depreciation 16,000
Total expected costs $ 1,000,500
Required:
Calculate the predetermined overhead rate per direct labor hour if the average direct labor rate is $15 per hour.
Determine the amount of applied overhead if 18,500 actual hours are worked in the upcoming year.
The predetermined overhead rate per direct labor hour is $12.00
The amount of applied overhead if 18,500 actual hours are worked in the upcoming year is $222,000
What are overheads?
Overheads are expenses or costs incurred by Wheeler’s Bike Company in the manufacturing process which cannot be traced to the finished goods, which are factory machinery depreciation, factory supplies, factory supervisor salaries and factory property tax
Total factory overheads= factory machinery depreciation +factory supplies+ factory supervisor salaries+ factory property tax
Total factory overheads=$55,000+$140,000+$7,500+$37,500
Total factory overheads=$240,000
predetermined overhead rate per direct labor hour=total factory overheads/total labor hours
total labor hours=Factory direct labor/direct labor rate
total labor hours=$300,000/$15=20,000 hours
predetermined overhead rate per direct labor hour=$240,000/20,000
predetermined overhead rate per direct labor hour=$12.00
amount of applied overhead for 18,500 actual hours=18,500*$12
amount of applied overhead for 18,500 actual hours=$222,000
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What is the correct answer?
help
of an hour then \$2.00$2.00 for each additional \displaystyle \frac{1}{10}
10
1
of an hour.
Using this information, fill in the table below
Using proportions, the table is filled as follows:
t = 9/10, price $16.3.t = 4, price $78.3.t = 3(9/10), price $76.3.t = 7, price $138.3.What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
The rates are given as follows:
$3 for the first 0.1 hour.$2 for each subsequent 0.1 hour.Hence, for 9/10 = 0.9 hours, the price is given as follows:
3 x 0.1 + 2 x (0.8/0.1) = 16.3.
For 4 hours, the price is given as follows:
3 x 0.1 + 2 x (3.9/0.1) = 78.3.
For 3 and 9/10 hours = 3.9 hours, the price is given as follows:
3 x 0.1 + 2 x (3.8/0.1) = 76.3.
For 7 hours, the price is given as follows:
3 x 0.1 + 2 x (6.9/0.1) = 138.3.
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The path of an airplane taking off is modeled by a linear equation. The slope of the
line is 50, and (2, 150) is a point on the line. What is the equation of the line in
slope-intercept
form.
Answer:
50x + 50
Step-by-step explanation:
Y = mx + b
Y = 50x + b
f(2) = 150
150 = 100 + b
b = 50
the equation of the line would be y = 50x + 50 which linear equation is used to represent the path of an airplane taking flight.
We have been given that the slope of the line is 50, and the point on the line is (2, 150).
What is a linear equation?A linear equation is represented as an equation in which the highest degree of the variable is always one.
Let the equation of the line be in slope-intercept form.
⇒ y = mx + b
A linear equation is used to represent the path of an airplane taking flight.
Here m = 50,
⇒ y = 50x + b
If the x-coordinate is 2 and then y-coordinate is 150
So f(2) = 150
⇒ 150 = 100 + b
⇒ b = 50
Substitute the value of b = 50 in the above equation to get
⇒y = 50x + 50
Therefore, the equation of the line would be y = 50x + 50.
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d²y dx² A curve has an equation which satisfies curve, and the gradient of the curve at the point P is 9. Determine the equation of the curve. Working out: = 6x-4. The point P (2, 11) lies on the
The equation of the curve is [tex]y=x^{3}-2x^{2}+5x+1[/tex].
The Gradient of the curve at a point is defined as the gradient of the tangent to the curve at that point. To find the gradient at a particular point on the curve y=f(x), simply substitute the x -coordinate of that point into the derivative.
Given the gradient of a curve at a point P(2,11) is 9.
[tex]\frac{d^{2}y }{dx^{2} } =6x-4[/tex]
Integrating both sides-
[tex]\frac{dy}{dx } =\frac{6x^{2} }{2}-4x+C[/tex]
[tex]\frac{dy}{dx } =3x^{2} -4x+C[/tex]
Now, the gradient of a curve at a point P(2,11) is 9.
⇒[tex]3(2^{2})-4(2)+C=9[/tex]
⇒4+C=9
⇒C=5
So, [tex]\frac{dy}{dx } =3x^{2} -4x+5[/tex]
Again integrating both sides-
[tex]y=x^{3}-2x^{2} +5x+A[/tex]
Point(2,11) lies on the curve.
So, [tex]11=2^{3}-2(2^{2}) +5(2)+A[/tex]
⇒11=10+A
⇒A=1
Putting value of A in equation of curve-
[tex]y=x^{3}-2x^{2}+5x+1[/tex].
Thus, The equation of the curve is [tex]y=x^{3}-2x^{2}+5x+1[/tex].
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Enter the prime factorization of 198. Use exponents for repeated factors . Be sure to use the between different factors. For example , the prime factorization for 12 can be entered as 2 ^ 2 * 3 or 3 * 2 ^ 2 .
Answer:
2 * 3^2 * 11
Step-by-step explanation:
198/2 = 99 (so 2 is a prime factor)
99/3 = 33 (3 is another factor)
33/3 = 11 (3 is yet another factor)
11 is prime so cannot factor any further
198 = 2 x 3 x 3 x 11 = 2 x 3^2 x 11
What is the length of AB?
Round to one decimal place.
A
5.9
0
C
2
D
2.8
B
Answer: The length of AB is approximately 6.32 units.
Step-by-step explanation:
We have been given an image of a triangle on coordinate plane and we are asked to find the length of mid-segment MN and segment AB.
First of all, we will find the length of MN using distance formula.
What is the formula for length of a line?
When dealing with horizontal lines, the length of the line is simply the difference between the two points' x-coordinates. In a similar fashion, a vertical line's length can be found by subtracting one of the y-coordinates with the other.
d = [tex]\sqrt{{(x2 - x1)^{2} } + (y2 - y1 )^{2} }[/tex]
Let us assume option A is = (5.9 ; 2.8)
Where x1 = 5
x2 = 2
y1 = 9
y2 = 8
d = [tex]\sqrt{{(2-5)^{2} } + (8-9)^{2} }[/tex]
d = [tex]\sqrt[{-3^{2} } + -1^{2} ][/tex][tex]\sqrt{-3^{2} } + (-1)^{2}[/tex]
d = [tex]\sqrt{9+1}[/tex]
d = [tex]\sqrt{10}[/tex]
d = 3.1622
Therefore, the length of MN is approximately 3.1622 units.
We know that length of mid-segment connecting two sides of a triangle is half the length of third side of the triangle.
To find the length of AB, we will multiply length of mid-segment MN by 2.
Length of AB = 3.1622 X 2
Length of AB = 6.3244 ≅ 6.32
Therefore, the length of AB is approximately 6.32 units and (5.9 ; 2.8) is the correct choice.
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Please help me solve this !
Answer:
x = -0.25
Step-by-step explanation:
-4 x (2 x 1) = 8x - 2 - 4
-4 x 2 = 8x - 2 - 4
-8 = 8x - 2 - 4
-8 + 4 + 2 = 8x
-2 = 8x
-2/8 = x
x = -0.25
hoped this helped xx
a normal temperature for a certain animal is 73.9 F if a temperature x that differs from the normal
If a temperature differs from normal by x° F it will be 73.9° F ± x° F.
What is a mod function ?A mod function is defined as |x|= a which is x = a or - x = - a.
According to the given question a normal temperature for a certain animal is 73.9 F if a temperature x that differs from the normal it can be
73.9° F + x° F or 73.9° F - x° F which is
73.9° F ± x° F.
Because rise of temperature and fall of temperature is a temperature difference that differs from the normal temperature.
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A patient is to take 2 4/5 tablespoons of medicine per day in 4 equally divided doses how much medicine is to be taken in each dose
Answer:
According to math, it's 7/10.
Hope this helps!
Have a great day and God bless! :)
how do i solve y=3(0)^3-2(0)^2+13
Answer:
y = 13
Step-by-step explanation:
You want to "solve" y=3(0)^3-2(0)^2+13.
EvaluationAn exponent signifies repeated multiplication. That is ...
(0)^3 = 0×0×0
Of course, anything times zero is zero, so the first and second terms are both zero:
3(0)³ -2(0)² = 0 -0 = 0
Adding 0 to 13 does not change its value.
y = 3(0³) -2(0²) +13 = 0 -0 +13
y = 13
__
This is one that can be evaluated "by inspection." In general, a polynomial evaluated at x=0 will have the value of the constant term: all of the variable terms become zero.
If that is too much work, you can always enter the expression into your calculator.
Does Anybody know How P(A/B1) and P(A/B2) Comes? (highlighted one)
The value of [tex]P(\frac{A}{B_{1} })[/tex] is [tex]\frac{3}{5}[/tex] and the value of [tex]P(\frac{A}{B_{2} })[/tex] is [tex]\frac{4}{5}[/tex] .
Probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment.
Given the 4 white and 2 black balls in the first box and 1 white and 3 black balls in the second box.
Let [tex]B_{1}[/tex] is the event that the transferred ball is white and [tex]B_{2}[/tex] is the event that the transferred ball is black. Let A be the event that the ball drawn from the second box after the transfer is black.
After 1 ball is transferred from the first box to the second box, there will be total of 5 balls in the second box.
Now, the probability of getting the black ball from the second box after transferring the white ball is [tex]P(\frac{A}{B_{1} })=\frac{3}{5}[/tex] and the probability of getting a black ball from the second box after transferring the black ball is [tex]P(\frac{A}{B_{2} })=\frac{4}{5}[/tex].
Hence, [tex]P(\frac{A}{B_{1} })=\frac{3}{5}[/tex] and [tex]P(\frac{A}{B_{2} })=\frac{4}{5}[/tex]
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In a unit circle, 0 = 3pi/2. What is the terminal point?
O A. (1,0)
O B. (0,1)
O C. (0, -1)
O D. (-1,0)
Option c - (0 , -1).
Terminal Point on the Unit Circle. To find the terminal point on the unit circle, start at (1, 0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.) The coordinate of the endpoint is called the terminal point.
In a unit circle, θ = 3π/2 radians.
r = 1
Angle θ = 3π/2
The terminal point is (rcosθ, rsinθ)
= (cos3π/2, sin3π/2)
cos3π/2 = 0
sin3π/2 = -1
= (0, -1)
Thus, for the unit circle 3π/2 = 0 ,the terminal points are (0, -1) . So the option C is the correct answer.
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Evaluate 1(8+12)-4)+5. (6-3)
Evaluate 1(8+12)-4)+5. (6-3) = 31
Solution :
PEMDAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents (degree or square roots) and later we do operations on multiplication & division and at last addition and subtraction.
BODMAS, BIDMAS and PEMDAS are acronyms for remembering the order of operations in mathematics. BODMAS stands for Brackets, Orders, Division, Multiplication, Addition and Subtraction. BIDMAS and PEMDAS do exactly the same thing but using different words.
MDAS :
stands for Multiplication, Division, Addition, and Subtraction. It is part of the Order of Operations, a collection of rules that gives a sequence for simplifying mathematical operations. It is used when an expression or equation has more than one operation. According to the Order of Operations, all multiplication or division must occur before addition or subtraction. For example, the expression 6+4×5 involves addition and multiplication. According to MDAS, simplify the multiplication portion of the expression before adding. Since 4×5 equals 20, rewrite the expression as 6+20, which equals 26
= 1(8+12)-4)+5. (6-3)
= 20 - 4+5.3
= 16+15
=31
Answer:
Evaluate 1(8+12)-4)+5. (6-3) = 31
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Which of the following could be a real-world description of 5x − 18? (I ALSO NEED THIS FAST)
A: $18 in addition to the cost of 5 hot dog combos
B: The cost of 18 people splitting 5 hot dog combos
C: The cost of hot dog combos less an $18 coupon split by 5 people
D: $18 less than the cost of 5 hot dog combos
The correct answer is (C) The cost of hot dog combos less than an $18 coupon split by 5 people.
What is 8.118 divded by 0.615
Question 10 of 10
Which of the following is not a characteristic of both observational studies
and experiments?
A. Results are not used to prove cause and effect.
B. Data are collected about a population.
O C. The researcher exercises direct control over at least one variable.
D. The subjects are observed, and their behavior is recorded.
Answer:
B. Data are collected about a population.
Step-by-step explanation:
Data collected isn't experimenting. Experimenting is when you modify certain things in the population, not just take data from it. Hence, option b is just observation, not experimenting.
Which is the order from least to greatest of the following: seventh fifths, 0.4, one eighth, seventy five percent?
0.4, seventy five percent, seven fifths, one eighth
one eighth, 0.4, seventy five percent, seven fifths
0.4, one eighth, seventy five percent, seven fifths
seventy five percent, one eighth, 0.4, seven fifths
The order from least to greatest of the numbers will be B. one eighth, 0.4, seventy five percent, seven fifths.
How to oder the numbers?It should be noted that 7/5 = 1.4
It should be noted that 1/8 = 0.125
It should be noted that 75% = 0.75
Therefore, the ordering of the numbers from least to greatest will be one eighth, 0.4, seventy five percent, seven fifths.
In conclusion, the correct option is B.
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It takes you 53 seconds to walk from the first (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor (at the same pace, assuming all floors have the same height)?
The time taken to walk from first floor to sixth floor at same pace, assuming
all floors have the same height is 318 seconds or 5 minutes 18 seconds.
It takes you 53 seconds to walk from the first (ground) floor of a building to the third floor.
There are 60 seconds in every minute, so converting seconds to minutes is simple. Just divide the number of seconds by 60 to get your answer. Every 60 seconds a full minute has passed. Dividing a number tells you how many times one number "fits" in the other. Oftentimes the number of seconds will not perfectly convert into minutes. This decimal represents the number of seconds left over.
Walking one floor takes 53 seconds.
So, walking six floors at same pace = 53 seconds * 6
=> 318 seconds or 5 minutes 18 seconds.
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A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blue print represents an actual distance of 27 meters?
The number of centimeters on the blue print is 54 cm.
Given the scale of the drawing of a blue house shows that 6 cm is 3 meters.
The plan says 6 cm is 3 meters. The equation can be written, like this:
6cm = 3m
However, it's not useful for a conversion, so it's better to write it as a ratio, like this:
6cm/ 3m or 3m / 6cm
This as a conversion, take the given number and multiply it by the appropriate conversion factor. The key to choosing the right one is to think about which units need to be destroyed and how to achieve this. In this problem we are given 27 meters and we want to know it will be centimeters on the scale. So we have to choose a conversion factor that will remove meters and leave us with centimeters. If in doubt, identify a possible problem and test the units.
Example: 27m × (3m / 6cm)
It is clear that in this form the counters will not be cancelled.
So instead we try:
27m × (6cm / 3m) = 162cm / 3 = 54cm
So the number of centimeters on the blue represents the actual distance of 27 meters when the scale on the figure shows a house The blue color shows that 6 cm represents 3 meters or 54 cm.
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Which equations are true? Select all that apply.
A. 57 x 10,000 = 57,000
B. 57 x 10º = 57,000
C. 57 x 1,000 = 5, 700
D. 57 x 102 = 570
E. 57 x 10,000 = 570,000
Answer: B, C, E
Step-by-step explanation:
When you multiply 57 by 1,000 you do indeed get the answer 57,000 because you only add 3 zeros because 1,000 has 3 zeros, same thing goes with 57 x 10,000, you just add 4 zeros to 57 to get your answer.
why is it that my question is never answered?
Answer: I don't know
Step-by-step explanation:
Answer:
I don't know how to answer your question
If a jet travels 60 kilometers in 5 minutes, how many does it travel in 4 hours?
Answer:
In 2 hrs, the jet will travel 1,440 kilometers. In 6 hrs, the jet will travel 4,320 kilometers.
So in 4 hours the jet will travel 2280 km
Step-by-step explanation:
Solving the Question
We're given:
60 km/5 minutes? km/4 hoursFirst, let's simplify the 60 km/5 minutes to km/1 minute:
60 km/5 minutes
Simplify:
12 km/1 minutes
Now, multiply it by 60 minutes to find the km/hour:
12 km/1 minutes x 60 minutes
720 km
720 km/hour
Finally, multiply it by 4 hours:
720 km/hour x 4 hours
2880 km
Answer2880 km
If Trevion has 13 quarters and dimes in his pocket, and they
have a combined value of 250 cents, how many of each
coin does he have?
In linear equation , 8 is many of each coin does he have in pocket .
What in mathematics is a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."q = number of quarters worth 25 cents each
13 - q = number of dimes worth 10 cents each
25q + 10(13 - q) = 250
25q + 130 - 10q = 250
15q = 250 - 130
15q = 120
q = 8
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Question 5 (15 points)
Answer:
62.5 % is write answer.
Step-by-step explanation:
Please like my answer to make me brain list.
please help:
add: 0.7+0.45
Answer:
1.15
Step-by-step explanation:
Answer 1.15
Step-by-step explanation:
the only thing you had to do is line it up like standard algorithm and add if you need anymore help just tell me.
