We are asked to draw 3 lines that intersect at a point J, but the lines must not lie in the same plane.
First, we need to understand that the drawing we will come up with should be visualized in 3-dimension since we will be drawing on a plane.
What we can do is draw a point J first, and then have 3 lines go through it.
Imagine this as a tent or a teepee. Point J is the vertex at the top of the tent/teepee and the 3 lines are the sides or poles.
Question 14 of 15
What are the domain and range of the inequality ?
Answer:
we see that x must be greater then 3 and y which is the domain must be greater then 5 for the inequality to be true.
so option D is the correct option.
let me know if you need any more help!
Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount. Part B: Explain how you would solve this problem by organizing a sample calculation. Explain why organization was important in the thought process
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
what is amount ?aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.
given
You can use a fraction to express the percentage 20%.
This is inferred from the fact that the sign for percentage,% means to divide by 100.
Therefore, it is important to understand that 20% equals 20/100, or 1/5.
As a result, the 20% tip represents one-fifth of the total.
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
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The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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Which ratio is equivalent to 1:3 and 12:36? (A) 2:18 (B) 4:9 (C) 4:12 (D) 6:6
Answer:
I think the right answer is c 4:12
Answer:
(C) - C for Correct!
Step-by-step explanation:
We can look at ratios as a fraction, so 1:3 = 1/3 and 12:36 = 12/36. We can simplify the second fraction into 12/36 = 1/3 by canceling 12 from the numerator and denomerator. We can do this with all of the answer choices:
(A) Wrong - 2/18 = 1/9
(B) Wrong - 4/9
(C) Correct - 4/12 = 1/3
(D) Wrong - 6/6 = 1
I hope this helps!!! :)
3 - 2 * r = 5 please what is the solution for r ?
Answer:
-1
Step-by-step explanation:
3-2*r=5
-2*r=5-3
-2*r=2 /:(-2)
r= -1
Step-by-step explanation:
ANSWER:-\( \sf{3 -2 \times r \: = 5}\)
\( \sf{3 - 2r = 5}\)
\( \sf{ - 2r = 5 - 3}\)
\( \sf{ - 2r = 2}\)
\( \sf{ r = \dfrac{\cancel{2}}{\cancel{-2}}}\)
\( \boxed{ \bf{r = - 1}}\)
The 7th grade class is preparing for their end of the year play. There are 42 members in the play and each member expects to have ten people in the audience. How many rows of chairs will need to be set up if each row has 35 chairs in it? Show your work.
the number of rows in the audience will be 12.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
The 7th grade class is preparing for their end-of-the-year play. There are 42 members in the play and each member expects to have ten people in the audience.
So Total number of audience will be = 42*10 =420
Each row has 35 chairs
The total number of rows is 420/35 = 12
Hence the number of rows in the audience will be 12.
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Please please help me with this i have 40 missing assignments, if you help YOUR AMAZING
The volume of the prisms are:
1. 432 yd³
2. 36in³
3. 252 m³
4. 240 ft³
5. 576 mm³
6. 144 cm³
7. 343 m³
8. 120 yd³
9. 150 in³
How to determine the volumeThe formula for calculating the volume of a rectangular prism is expressed as;
V = lwh
such that;
l is the lengthw is the widthh is the heightNow, substitute the value for each of the prisms, we have;
1. Volume = 6 × 6 ×12
Multiply
Volume = 432 yd³
2. Volume = 2 ×9 × 2
Multiply
Volume = 36in³
3. Volume = 9 × 4 × 7
Multiply
Volume = 252 m³
4. Volume = 10 × 8 × 3
Multiply
Volume = 240 ft³
5. Volume = 4 × 12 × 12
Multiply the values
Volume = 576 mm³
6. Volume = 6 × 8 × 3
Volume = 144 cm³
7. Volume = 7 × 7 ×7
Volume = 343 m³
8. Volume = 8 × 3 × 5
Volume = 120 yd³
9. Volume = 5 × 6 × 5
Volume = 150 in³
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10
Use the cards 1-10. Draw cards without replacing.
A.
B.
CÓ Ư
C.
D.
E.
F.
P(6, then 1)
P(even, then 5)
P(8, then odd)
P(3, then prime)
P(prime, composite)
P(even, then 3, then 5)
4
8
2
6
9
3
10
A. P(6, then 1) = 1/90
B. P(even, then 5) = 1/18
C. P(8, then odd) = 1/18
D. P(3, then prime) = 2/45
E. P(prime, composite) = 4/15
F. P(even, then 3, then 5) = 1/144
Given:
Total number of cards: 10
A. P(6, then 1):
P(6, then 1) = 1/10 x 1/9
= 1/90
B. P(even, then 5):
Number of favorable outcomes: 5 x 1 = 5
P(even, then 5) = 5/10 x 1/9
= 1/18
C. P(8, then odd):
Number of favorable outcomes: 1 x 5 = 5
P(8, then odd) = 1/10 x 5/9
= 1/18
D. P(3, then prime):
Number of favorable outcomes: 1 x 4 = 4
P(3, then prime) = 1/10 x 4/9
= 2/45
E. P(prime, composite):
Number of favorable outcomes: 4 x 6 = 24
P(prime, composite) = 4/10 x 6/9
= 4/15
F. P(even, then 3, then 5):
Number of favorable outcomes: 5 x 1 x 1 = 5
P(even, then 3, then 5) = 5/10 x 1/9 x 1/8
= 1/144
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it takes mm to make cm
Answer:
In one in. there is 10 mm
Answer:
The answer is 10 mm
Step-by-step explanation:
it takes 10 mm to make 1 cm
-TheUnknownScientist 72
Determine the equation of the graph and select the correct answer below.
Answer: y = (x - 1)² - 3
Step-by-step explanation:
y = (1-1)²-3
y=0-3
y=-3
At a sports event, a fair coin is flipped to determine which team has possession of the ball to start. The coin has two sides, heads, (H), and tails, (T). Identify the correct experiment, trial, and outcome below: Select all that apply: a. The experiment is identifying whether a heads or tails is flipped. b. The experiment is flipping the coin c. A trial is flipping a heads. d. A trial is one flip of the coin. e. An outcome is flipping a tails. f. An outcome is flipping a coin once.
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
Experiment:
An experiment in probability is a process or activity that involves observing or measuring an outcome or event, in order to determine the likelihood or probability of certain outcomes.
Outcome:In probability, an outcome refers to a possible result that can occur from an experiment or event. It is one of the possible outcomes that can happen, and it may be a single result or a set of results.
TrialIn probability, a trial is a single repetition of an experiment or event. It is the process of observing or measuring the outcome of an event or experiment once.
Here we have
At a sports event, a fair coin is flipped to determine which team has possession of the ball.
The coin has two sides, heads, (H), and tails, (T).
From the given options correct answers are
a. The experiment identifying whether a head or tail is flipped is correct because the experiment is to determine which side of the coin will be facing up after the coin is flipped, either heads (H) or tails (T).
b. The experiment is flipping the coin is correct because the experiment involves physically flipping the coin.
d. A trial is one flip of the coin is correct as a trial is defined as a single performance of an experiment, in this case, flipping the coin once.
Therefore,
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
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1. What is the decay factor?
From 2000 to 2013, the value of the U.S. dollar was shrinking. The value of the U.S. dollar
over time v(t) can be modeled by the following formula:
1.36(0.9758)', where t is the number of years since 2000.
0.9758 is the decay factor of the model
How to determine the decay factor?Given that:
The value of the U.S. dollar over time v(t) can be modeled by the following formula:
v(t) = 1.36(0.9758)^t , where t is the number of years since 2000
The form of the exponential decay models is f(t) = ab^t
where,
a is the initial value, b is the decay factor and t is the time
Comparing f(t) = ab^t with v(t) = 1.36(0.9758)^t :
a = 1.36
b = 0.9758
Therefore, the decay factor is 0.9758
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let y1,y2 be independent random variables both having the uniform(0,1) distribution. re- call that the density function and distribution function of a uniform random variable y
A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.
A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.
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what is A big rubbing alcohol holds 2 liters . How many milliliters is this
Answer:
it equals 2000 mililiters
Step-by-step explanation:
How do you do this i cant remember i fell asleep in class
The cost of each sandwich, given the number that was sold and the profit made was $15.
How to find the cost ?Let S be the price of a sandwich and A be the price of a salad.
From the lunch sale, we know:
14 S + 14 A = $280
From the evening sale, we know:
42S + 154 A = $ 1400
Simplify the first equation by dividing through by 14:
S + A = $20
Solving this equation for S gives:
S = $20 - A
Substitute this equation into the second equation:
42 ( $20 - A ) + 154 A = $1400
$ 840 - 42 A + 154 A = $1400
112A = $560
A = $5
Substitute A = $5 into the first equation:
S + $5 = $20
S = $15
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Find the area of the triangle.
3).
Answer:
86.60254
Step-by-step explanation:
30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)
Whats the answer? ( BRANLIEST )
Answer:
14/2 i think
Step-by-step explanation:
Which inequality does the shaded region correspond to?
Answer:
y < x + 1
Step-by-step explanation:
identify 2 points along the line (-1,0) and (0,1)
gradient = \(\frac{0-1}{-1-0} =1\\\\the \ y \ intercept = 1\\\\y=x+1\\\\\)
let us choose point (0,0) which is within our origin and substitute
0 = 0 +1
0 = 1
but we know 0 < 1
so the region is well represented by : y < x + 1
Answer:
y > x + 1
Step-by-step explanation:
→ As the line is upward sloping we can eliminate the 2 negative equations options
y < x + 1 or y > x + 1
→ As the region shaded is above the line y = x + 1, it must be y > x + 1
1. Graph the function f(x) = 3 sec 2θ - 2. Be sure to specify the value of the amplitude, period, phase shift, and vertical shift, as appropriate. Your graph must have two complete periods to count for full points.
Answer:
The graph of the given function is attached
How to determine graph of the given functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 3sec(2θ) - 2
A sinusoidal function is represented as
y = A sec B(x - C) + D
Where
Amplitude = APeriod = 2π/BPhase shift = CSo, we have
A = 3
Period = 2π/2 = π
For the phase shift, we have
C = 0
For the vertical shift, we have
D = -2
See attachment for the graph of the function
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Jed has 4 times as many baseball cards as Ramon? Together, they have 60 baseball cards. How many baseball cards does Jed have?
Answer: 15
Step-by-step explanation:
4 multiplied by x (x= number of cards Ramon has) = 60 cards total
4x=60
4/60=15
x=15
PLS MARK BRANLIEST
PLEASE HELP ME!! what is the answer?
Answer:
A is the answer
Step-by-step explanation:
I hope it helps
X,(x-36) What is the value of x
The value of x is 63
How to determine the valueTo determine the value of the variable, we have that;
Angles at a point is equal to 360 degreesComplementary angles are defined as angles that sum up to 90 degreesSupplementary angles are defined as angles that sum up to 180 degreesAngles on a straight line is equal to 180 degreesFrom the information given, we have that;
x and x - 36 are complementary angles
Now, equate the angles to 90 degrees, we have;
x + x - 36= 90
collect the like terms, we get;
2x = 90 + 36
add the terms
2x =1 26
Divide by the coefficient
x = 63
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Complete question:
The angles X,(x-36) are complementary. What is the value of x
A store sell canned fruit in two sizes. A 24 ounce can for $2.63 and a 3.9 ounce can for $0.52. Which is the better buy? Explain (tell how much each would cost for 1 ounce)
Answer:
24 ounce one
Step-by-step explanation:
You divide 3.9 by 24 round it to 6 times .52 to 6 it is 3.12
2.63<3.12
Solve 3^5x=10
HELP PLS
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243
HELPPPPP 7w/6 when w = 18
Answer:
21
Step-by-step explanation:
if it took 9 hours to mow 15 lawns then at that rate how many lawns could be mowed in 27 hours what was the rate of lawns mowed per hour
The number of lawns that can be mowed in 27 hours is 45 lawns.
Ratio15 lawns mowed in 9 hoursx lawns mowed in 27 hoursRatio of lawns to hours mowed
15 : 9 = x : 27
15/9 = x/27
15 × 27 = 9 × x
405 = 9x
x = 405 / 9
x = 45 lawns
Therefore, the number of lawns that can be mowed in 27 hours is 45 lawns.
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The rate of the lawns moved per hour is 3/5
45 lawns can be mowed in 27 hours
It took 9 hours to mow 15 lawns
The number of lawns mowed in 27 hours can be calculated as follows
9= 15
x= 1
cross multiply
15x= 9
x= 9/15
x= 3/5
It will take 3/5 hours to mow one lawn
The number of lawns that can be mowed in 27 hours can be calculated as follows
3/5 hours= 1 lawn
27= y
3/5y= 27
y= 27 ÷ 3/5
y= 27 × 5/3
y= 9×5
y= 45
Hence 45 lawns can be mowed in 27 hours
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Match each function on the left to all points on the right that would be located on the graph of the function. Help!! thanks
Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;
f(x) = 2x + 2 ⇒ (0, 2).
f(x) = 2x² - 2 ⇒ (-1, 0).
\(f(x) = 2\sqrt{x+1}\) ⇒ (0, 2).
What is a function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;
For the ordered pair (0, 2), we have:
f(x) = 2x + 2
2 = 2(0) + 2
2 = 2 (True).
For the ordered pair (-1, 0), we have:
f(x) = 2x² - 2
0 = 2(-1)² - 2
0 = 2 - 2
0 = 0 (True).
For the ordered pair (0, 2), we have:
\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)
2 = 2 (True).
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Brad is standing on a hill which places him at the same height as a nearby flagpole. The flagpole is 15 ft. high and Brad is 20 ft. horizontally from the top of the pole. Brad can see the bottom of the flag pole.
What is the length in feet of Brad's "line of sight" to the base of the flagpole?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
your ans please mark me brainiest
solve the equation by completing the square.4x(x + 6) = -40
Answer:
The solution to the equation is;
\(\begin{gathered} x=-3+i \\ or \\ x=-3-i \end{gathered}\)Explanation:
Given the equation below;
\(4x(x+6)=-40\)Expanding the bracket we have;
\(4x^2+24x=-40\)dividing through by 4;
\(\begin{gathered} \frac{4x^2}{4}+\frac{24}{4}x=-\frac{40}{4} \\ x^2+6x=-10 \end{gathered}\)To solve by completing the square, let us add the square of half of 6 to both sides;
\(\begin{gathered} x^2+6x+(\frac{6}{2})^2=-10+(\frac{6}{2})^2 \\ x^2+6x+9=-10+9 \\ x^2+6x+9=-1 \\ (x+3)^2=-1 \end{gathered}\)taking square roots of both sides;
\(\begin{gathered} x+3=\sqrt[]{-1} \\ x+3=\pm i \end{gathered}\)So;
\(\begin{gathered} x=-3+i \\ or \\ x=-3-i \end{gathered}\)Therefore, the solution to the equation is;
\(\begin{gathered} x=-3+i \\ or \\ x=-3-i \end{gathered}\)