Answer:
x=19
Step-by-step explanation:
14x-43=71+8x problem
14x=114+8x add 43 to both sides
6x=114 subtract 8x from both sides
x=19 divide by 6 to both sides (114/6 =19) x=19
Choose the correct translation for the following statement. It is at most ten.
Answer:
The second one, I got that question
x ≤ 10
.(a) Find parametric equations for the line through (2,4,6) that isperpendicular to the plane x-y+3z=7
(b) In what points does this line intersect the coordinate planes?
The line intersects the xy-plane at (2, 4 - 3t, 0), the xz-plane at (2, 0, 6 - t), and the yz-plane at (0, 4 - 3t, 6 - t), where t is a parameter.
(a) The parametric equations for the line through (2, 4, 6) that is perpendicular to the plane x - y + 3z = 7 can be found by considering the direction vector of the line.
Since the line is perpendicular to the plane, the direction vector must be orthogonal to the normal vector of the plane.
The normal vector of the plane x - y + 3z = 7 is (1, -1, 3). To find a direction vector orthogonal to this normal vector,
we can take the cross product of the normal vector and any other vector. Let's choose the vector (1, 0, 0). Taking the cross product, we have: (1, -1, 3) x (1, 0, 0) = (0, -3, -1).
So, the direction vector of the line is (0, -3, -1). Using the point (2, 4, 6) on the line, the parametric equations for the line are:
x = 2 + 0t
y = 4 - 3t
z = 6 - t
(b) To find the points where the line intersects the coordinate planes, we can substitute the appropriate values in the parametric equations.
When the line intersects the xy-plane, z = 0. Substituting z = 0 in the parametric equations, we have:
x = 2
y = 4 - 3t
z = 0
This gives us the point of intersection (2, 4 - 3t, 0), where t is a parameter.
Similarly, when the line intersects the xz-plane, y = 0. Substituting y = 0 in the parametric equations, we have:
x = 2 + 0t
y = 0
z = 6 - t
This gives us the point of intersection (2, 0, 6 - t), where t is a parameter.
When the line intersects the yz-plane, x = 0. Substituting x = 0 in the parametric equations, we have:
x = 0
y = 4 - 3t
z = 6 - t
This gives us the point of intersection (0, 4 - 3t, 6 - t), where t is a parameter.
Therefore, the line intersects the xy-plane at (2, 4 - 3t, 0), the xz-plane at (2, 0, 6 - t), and the yz-plane at (0, 4 - 3t, 6 - t), where t is a parameter.
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Carroll bikes 111 kilometer east, 444 kilometers north, and then 555 kilometers east again. How far is Carroll from her starting position
Answer:
the Carroll is 1110 kilometer far
From midnight to 7:00 am, the temperature dropped 0.8°C
temperature at 7:00 am was 4.4 deg * C what was the temperature at midnight?
Answer:
5.2
Step-by-step explanation:
add back 0.8 from 7 am temp which is 4.4 degrees.
Answer:
5.2 °C
Step-by-step explanation:
4.4°C + 0.8°C = 5.2°C
Evaluate the following limit, if it exists. lim √x-1-2 x-5 x-5
Hence, lim √x - 1 - 2 / (x - 5) = 4.
To evaluate the following limit, if it exists,
lim √x - 1 - 2 / (x - 5),
we need to follow the steps provided below:
Step 1: Factorize the numerator
After factorizing the numerator, we get:
lim √(x - 1) - 2 / (x - 5) × ( √(x - 1) + 2 ) × ( √(x - 1) + 2 ).
Step 2: Simplify the equation by canceling the common terms.
Now, after canceling the common terms, we get:
lim ( √(x - 1) + 2 ).
Step 3: Evaluate the limit
We can clearly see that x is approaching 5.
Therefore, √(x - 1) will approach 2. Thus, the limit will be 4.
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help plz plz plz plz plz plz,
Answer:
6.28 km
Step-by-step explanation:
Circumference formula:
C = 2πr
To find r:
r = d/2
r = 2/2
r = 1
Work:
C = 2(3.14)(1)
C = 6.28
Answer:
6.28
Step-by-step explanation:
Its the formula 2πr. The diameter is 2 and the radius is half of 2 so 1. Just plug in 1 for r and multiply everything together.
15% of the players in a pro-am golf tournament are ranked in the top 40 golfers in the world. 67% of the players in the same tournament are amateurs. assume a tournament player being in the top 40 golfers in the world is mutually exclusive of the golfer being an amateur. what is the probability a randomly selected player in tournament is in the top 40 golfers in the world if the player is an amateur?
Thus, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.
The first step in solving this problem is to use the given information to calculate the proportion of players who are both amateurs and ranked in the top 40 golfers in the world.
Since being a top 40 golfer and being an amateur are mutually exclusive, the proportion we're interested in is the proportion of amateur players who are not in the top 40.
We know that 15% of players are in the top 40, so 85% of players are not. We also know that 67% of players are amateurs, so 33% of players are not. To find the proportion of amateur players who are not in the top 40, we can multiply these two proportions:
0.85 x 0.33 = 0.2805
So, 28.05% of players in the tournament are amateurs who are not in the top 40.
Now, we can use this proportion to answer the question of what the probability is of selecting an amateur player who is not in the top 40, given that the player is an amateur. This is simply the proportion we just calculated:
P(amateur and not top 40) = 0.2805
Therefore, the probability of selecting an amateur player who is in the top 40 is:
P(top 40 | amateur) = 1 - P(amateur and not top 40)
= 1 - 0.2805
= 0.7195 or 71.95%
In other words, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.
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The likelihood of the frequency of an event in repeated trials under similar conditions is?
The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.
What is Statistical analysis?The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.
What accomplishes statistical analysis?Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.
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What’s this answer? please help me
Answer:
A. About 1/3 of the people prefer pie without ice cream
Step-by-step explanation:
We know there were 80 people surveyed, so that's our denominator. Pie without ice cream is the bottom row. 15 + 12 = 27. 27/80 = 0.3375, which is 33.75% (multiply 0.3375 by 100), which is about 1/3.
B is wrong, because the blueberry pie numbers are not double the cherry pie numbers
C is wrong because cherry with ice cream is 24, blueberry without is 15
D is wrong because the ratio of blueberry to cherry is 44:36, and with ice cream to without is 53:27
How many variable terms are in the following expression?
14t – 7xy+5x²y2 – 32
1
Answer:
4
Step-by-step explanation:
If the length of a certain rectangle is increased by 1, then the area of the rectangle is increased by 12. If instead, the width is increased by 2, then the area of the rectangle is increased by 42. What is the area of the original rectangle?
Answer: Let the length and breadth of a rectangle are x and y units , its area is x.y units^2
Step-by-step explanation: sorry no explanation
A man walks 70km. he walk x km at 8km/h and y km at 10km/h. if the man walked at 10km/h for the time he was walking at 8km/h and at 8km/h at the time he was walking for 10km/h, he walks 72km. Find x and y.
Solution
Speed =6km/h
distance =1km
Time =distance/speed=1/6h
Speed =8km/h
Distance =1km
Time =distance/speed=1/8h
Average speed =Totaldistance/totaltimetaken
=1+1+
6
1
+
8
1
=2+
24
4+3
=2+
24
7
=2×
7
24
=
7
48
=6.85km/h
TRUE / FALSE. roofs having a span of 40 feet or less and a pitch of ? or greater, and roofs having a span of more than 40 feet and a pitch of 1/4 or greater are considered to be pitched.
The statement is true. Roofs with a span of 40 feet or less and a pitch of ? or greater, as well as roofs with a span of more than 40 feet and a pitch of 1/4 or greater, are considered to be pitched.
In roofing terminology, the pitch refers to the steepness or slope of a roof. A pitched roof has a slope that allows water to drain efficiently. The pitch is typically measured as a ratio of vertical rise to horizontal span.
According to the statement, roofs with a span of 40 feet or less and a pitch of ? (undefined or not specified) or greater are considered to be pitched. This means that as long as the roof has a certain degree of slope or steepness, it is categorized as a pitched roof.
Similarly, roofs with a span of more than 40 feet and a pitch of 1/4 or greater are also considered to be pitched. In this case, the requirement for a minimum pitch of 1/4 (or a steeper slope) applies to roofs with a larger span.
The classification of roofs as pitched or not pitched depends on their span and the minimum pitch requirements specified. Roofs that meet the specified criteria for span and pitch are considered to be pitched roofs.
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Would 4 to the power of -4 end up positive or negative?
Answer:
It would end up positive
Step-by-step explanation:
4^-4 = 0.00390625
you can plug this in for almost any calculator and would get the answer above
Have a nice day! :-)
Answer:
Positive
Step-by-step explanation:
Calculator got me 1/256
whats an equivalent expression to 3(x+5)
Answer:
3x+15
Multiply the single term 33 by each term of the polynomial (x+5)
3x+15
9) The dog pen at doggy daycare has a length of 29 feet and a width of 18 feet.
What is the area of the dog pen?__
What is the perimeter of the dog pen?_
Answer:
The area of the dog pen is 522 \(ft^2\). (feet squared)
The perimeter of the dog pen is 94 feet
Step-by-step explanation:
Area
Here is the formula for the area of a rectangle.
\(A=lw\)
We are given
\(l=29\\w=18\)
Lets evaluate \(A\).
\(A=29*18\\A=522\)
Perimeter
Here is the formula for the perimeter of a rectangle.
\(P=2w+2l\)
We are given
\(l=29\\w=18\)
Lets evaluate \(P\).
\(P=2l+2w\\P=(2*29)+(2*18)\\P=58+(2*18)\\P=58+36\\P=94\)
B
20°
?
A
4.
С
( I need an answer )
Answer:
10.9899097
Step-by-step explanation:
Trigonometry.
Tan = opposite/adjacent
Adjacent = Opposite / Tan(20)
The distance of Saturn from the Sun is 1.43 × 10⁹ km . If the speed of light is 3 × 10 ms-¹ , how long in seconds , does it take for the light to travel from Sun to Saturn ?
Answer:
4,767 seconds
Step-by-step explanation:
The speed of light is actually 3x10^8 m/s, not "3 × 10 ms-¹."
Convert 1.43 × 10⁹ km = 1.43 × 10^12 m
(1.43 × 10⁹ km = 1.43 × 10^12 m)/(3x10^8 m/s) = 4,767 seconds
List two equivalent numbers to 0.50
somebody please HELP I NEED TO PASS THIS
How do you add negative numbers with positives
when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words
examples:- First
\(5 + ( - 2) = 5 - 2 = 3\)
like here we put + in front of 3 as larger number 5 is positive
second\( - 7 + 5 = - 2\)
we put negative because 7 is larger then 5 and 7 is negative
What is the purpose of the ninth?
The purpose of the ninth was to assert the principle that the enumerated rights are not exhaustive and final and that the listing of certain rights does not deny the existence of other rights.
Ninth Amendment:The Ninth Amendment was part of the Bill of Rights added to the Constitution on December 15, 1791. It states that all rights not enshrined in the Constitution belong to the people, not to the US government. In other words, the rights of citizens are not limited to those stipulated in the Constitution. Simply put, the Ninth Amendment declares that the enumeration of certain rights in the Constitution should not be construed as withholding or disrespecting others from people. According to Judge Harry A. Blackman, Roe v. Wade (1973),
, "As we believe, this right to privacy is limited by the Fourteenth Amendment concept of restrictions on individual liberty and government action. The Ninth Amendment to the Constitution contains ample scope, including determining whether a woman should terminate a pregnancy."
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HELLP ASPA BRIANLY POINTS 15
Mato is making a leather belt inlaid with beads. On the first day there were b beads on the belt. One the fourth day, there were b3 beads on the same belt. There were 216 beads on the belt on the fourth day. How many beads were on the belt on the first day?
The correct answer is that the belt had 6 beads on the first day.
Let's assume that the number of beads on the first day is represented by "b."
According to the information given, on the fourth day (which we'll represent as "d = 4"), there were b3 beads on the belt. This means that the number of beads on the fourth day can be expressed as \(b^d\), where b represents the initial number of beads and d represents the number of days.
In this case, we know that on the fourth day there were 216 beads on the belt. Therefore, we can solve the equation:
\(b^4 = 216\)
To find the value of b, we need to take the fourth root of both sides of the equation:
\(\sqrt[3]{(b^4) }\)= \(\sqrt[3]{216}\)
Simplifying:
b = \(\sqrt[3]{216}\)
Calculating the cube root of 216:
b ≈ 6
Therefore, there are approximately 6 beads on the belt on the first day.
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How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16 cm, the iron being 2 cm thick throughout? If 1 cubic cm of iron weighs 15 g. find the weight of the open box in kg
50 points!!!
7. Write and solve an inequality for the value of x.
The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.
What is Triangle inequality theorem?
The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.
We are given three sides of a triangle as 8, 6 and x+20
Using Triangle inequality theorem,
⇒8+6 > x+20
⇒14 > x+20
⇒-6 > x
Also,
⇒x+20+6 > 8
⇒x+26 > 8
⇒x > -18
Also,
⇒x+20+8 > 6
⇒x+28 > 6
⇒x > -22
From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.
This means that x must lie between -18 and -6.
Hence, the value of x must be between -18 and -6.
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Pls help me
I need help guys,and I’m going to give the branliest
Answer: It is .............. A or C but I can't see the question you're trying to answer
Step-by-step explanation:
Solve for K:
0.4k + 0.4k - 0.02 = 4.02
0.8k -0.02 = 4.02
0.8k = 4.04
k = 5.05
HELP PLEASE!!!!!!
Write the missing improper fraction in each box. Express the answers in simplest form.
Answer:13/8 and 7/4. 2/1 then 5/2 and 21/8
Step-by-step explanation: If you continue the pattern, you get 13/8 which is already simplified because 13 is a primw number. Then 14/8 which simplifies to 7/4 if divided by 2. Similar process for other ones
Causes of variation that can be identified and eliminated are called what?
The causes of variation that can be identified and eliminated are called; Assignable Causes.
What are the causes of Variation?There are two primary causes of variation in the quality of a product or process. These two primary causes are called;
Common causes.Assignable causes.Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.
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A lines slope is 0, and it’s y intercept is 3. What is it’s equation in slope intercept form?
Answer:
y=3
Step-by-step explanation:
y=mx+b where m = slope and b=y-intercept
slope: 0, y-intercept: 3
y=(0)x + 3
y=3