Answers
Answer:
x = 12
Step-by-step explanation:
Given that AB = 2, AD = x, BC = 2, CD = -16 + 2x, since A, B, C, D are said to be collinear, therefore:
AB + BC + CD = AD
2 + 2 + (-16 + 2x) = x
Use this equation to solve for x
2 + 2 - 16 + 2x = x
-12 + 2x = x
Subtract 2x from both sides
-12 + 2x - 2x = x - 2x
-12 = -x
Divide both sides by -1
[tex] \frac{-12}{-1} = \frac{-x}{-1} [/tex]
12 = x (negative cancels negative)
x = 12
Related Questions
1.how do you perceive mathematics as a subject? Explain Your answer
2. What is the significance of mathematics in your life and as a student?
Answers
Answer:
The students perceived various qualities of the mathematics learning that were enabled by the use of mobile phones: (1) exploring mathematics independently (2) learning mathematics through collaboration and team work; where the collaboration is on equal terms (3) learning mathematics in a societal and humanistic environment (4) learning mathematics in authentic real life situations (5) visualizing mathematics and investigating it dynamically (6) carrying out diversified mathematical actions using new and advanced technologies (7) learning mathematics easily and efficiently. In the overall, the students were positively impressed by the potentialities and capabilities of the mobile phones used in the mathematics learning process. This indicates that mathematics education could benefit form utilizing these new technological tools.Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.To calculate simple interest, the amount of interest, I, can be found using this formula, where P is the principal, r is the interest rate, and t is time: I=Prt Which formula can be used to determine the interest rate when the other variables are known? a.) r=IPt b.)r=I/Pt c.)r=IP/t d.) r=Pt/I
Answers
Answer:
b
Step-by-step explanation:
I = Prt Solve the equation for r
I = Prt Divide both sides by Pt to get r on one side of the equation by itself
Pt Pt Cancel the P and t on right side as P/P and t/t = 1
This leaves: I = r or r = I
Pt Pt
The interest rate formula with other known variables is R=I/PT. Therefore, the correct answer is option B.
The given simple interest formula is I=PRT.
Where, P is the principal, r is the interest rate, and t is time.
Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
To calculate the interest rate:
By rearranging the formula I=PRT, we get
R=I/PT
Therefore, the correct answer is option B.
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Lou drives at 65 mi/h. Write an expression for the number of miles that Lou drives t hours.
Answers
Answer:
The expression for the number of miles that Lou drives t hours is t*65
Step-by-step explanation:
Two quantities are directly proportional when, when one of them is multiplied or divided by a number, the other is multiplied or divided respectively by the same number. That is, the relationship between the magnitudes is direct when one magnitude increases and so does the other (or when one magnitude decreases, so does the other).
The direct rule of three is used when the problem deals with two directly proportional quantities and is used to solve proportionality problems between three known values and one unknown, establishing a proportional relationship between all of them as follows:
a ⇒ b
c ⇒ x
So [tex]x=\frac{c*b}{a}[/tex]
In this case the rule of three can be applied in the following way: if in 1 hour Lou travels 65 miles, in t hours how much distance does he travel?
[tex]distance=\frac{t*65 mi}{1 h}[/tex]
distance=t* 65
The expression for the number of miles that Lou drives t hours is t*65
HELP NOW!! QUES^TION IN PICTURE
Answers
Answer:
Its b
Step-by-step explanation:
I did the unit test
A quantity P obeys the exponential growth law P(t)=e5t (t in years).
At what time t0 is P=15? Use yr for years. t0=?
At what time t1 is P=20? Use yr for years. t1= ?
What is the doubling time for P? Use yr for years. The doubling time is ?
Answers
Answer:
the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]
the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]
the doubling time [tex]{t = 0.138629 \ years}[/tex]
Step-by-step explanation:
From the information we are being provided with:
The quantity P i.e [tex]P(t) = e ^{5t}[/tex]
In order to determine the time at which P = 15, we have the following:
[tex]t= t_o[/tex] when P = 15
∴ [tex]e^{5t_o} = 15[/tex]
[tex]5t_o= In (15)[/tex]
[tex]t_o = \dfrac{1}{5}In 15[/tex]
[tex]t_o = \dfrac{1}{5} \times 2.70805[/tex]
[tex]{t_o = 0.54161 \ years}[/tex]
Hence, the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]
In order to determine the time at which P = 20, we have the following:
[tex]t= t_1[/tex] when P = 20
∴ [tex]e^{5t_1} = 20[/tex]
[tex]5t_1= In (20)[/tex]
[tex]t_1= \dfrac{1}{5}In (20)[/tex]
[tex]t_1 = \dfrac{1}{5} \times 2.9957[/tex]
[tex]{t_1 = 0.59914 \ years}[/tex]
Hence, the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]
The doubling time at t = 0, mean P = 2
∴ [tex]e^{5t} = 2[/tex]
[tex]5t= In (2)[/tex]
[tex]t= \dfrac{1}{5}In(2)[/tex]
[tex]t = \dfrac{1}{5} \times0.693147[/tex]
[tex]{t = 0.138629 \ years}[/tex]
Hence, the doubling time [tex]{t = 0.138629 \ years}[/tex]
Write each percent as a fraction in simplest form 2 2/5%
Answers
Answer:
12/5%
Step-by-step explanation:
12/5 %
that's it cuz u can't divide them
solve for x
3+x/8=4
Answers
Answer:
x = 8
Step-by-step explanation:
3+x/8=4
We move all terms to the left:
3+x/8-(4)=0
We add all the numbers together, and all the variables
x/8-1=0
We multiply all the terms by the denominator
x-1*8=0
We add all the numbers together, and all the variables
x-8=0
We move all terms containing x to the left, all other terms to the right
x=8
The constant rate of change of a line is also called what
Answers
Answer:
The slope of the line.
Step-by-step explanation:
In other words, SLOPE is the VERTICAL change between any two points divided by the HORIZONTAL change in any two points.
Answer
The constant rate of change of a line is also called what
...SLOPE...
what is 7) 4x -2(3x + 7)
Answers
4x -2(3x+7)
Use the distributive property:
4x - 6x -14
Combine like terms:
-2x - 14
College precalc! If you could help me with range, too, that's be great.
Answers
Answer:
All together:
D:(-∞,∞)
R:(-∞,2]
Individually:
D: (-∞,-2], (-2,∞)
R: (-∞,-2], y=2
Step-by-step explanation:
So the way I like to think about Domain and Range is that the Domain is the set of real numbers which can be put into a function and the Range is the set of real numbers which you can get out from a function.
Looking at your given function, it looks like the piece-wise parts are f(x)=x and f(x)=2. Neither one of the functions has domain restrictions (you can plug anything into the first and second without getting any mathematical errors [like a 0 in the denominator]). And since the graph shows arrows in each end, indicating infinite continuation of the curve, the Domain is (-∞,∞).
Now for the outputs of each function, we can see that you'll be getting any number out for the f(x)=x portion. But, the f(x)=2 portion will always give you 2 for any input. So the Range is (-∞,2).
Now I'm honestly not too sure what the HW is asking you to do with this info... for the first part, maybe they want the individual domain and range values for each piece of the piece-wise while the second part asks for the overall? You might know what it's asking better then me since it's your class.
I'll include the overall and individual answers above. Comment with any questions.
find the range 5 15 10 20 15 10 15
Answers
Answer:
15
Step-by-step explanation:
20-5=15
3 out of 30 computers are not working.so what % are working
Answers
Answer:
90%
Step-by-step explanation:
3/30 not working
3/30%=3/30x100
=>10%
% of computers working 100%-10%=90%
A 2-column table has 8 rows. The first column is labeled Statements with entries angle A B C is right angle, Line segment D B bisects angle A B C, B, m angle A B D = m angle C B D, m angle A B D + m angle C B D = 90 degrees, m angle C B D + m angle C B D = 90 degrees, D, m angle C B D = 45 degrees. The second column is labeled Reasons with entries A, given, definition of right triangle, definition of bisection, C, substitution property, addition, and division property. Identify the missing parts in the proof. Given: ∠ABC is a right angle. DB bisects ∠ABC. Prove: m∠CBD = 45° A: B: C: D:
Answers
Answer:
A. Given
B.Measure of ABC=90
C.Angle addition Prostulate
D.2 times the measure of angle CBD=90
Step-by-step explanation:
Answer:
d a b c
Step-by-step explanation:
Which is the definition of a ray?
a part of a line that has one endpoint and extends indefinitely in one direction
the set of all points in a plane that are a given distance away from a given point
lines that lie in the same plane and do not intersect
a part of a line that has two endpoints
Answers
The definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction
A ray is part of a line that has one endpoint and extends indefinitely in one direction and has the folowing properties.
It has one starting point called its endpoint. It does not have height or width but has length. But, its length is not measurable since it extends forever.So, the definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction.
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Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour.
Answers
Answer:
[tex]Rate = 0.2167\ fl\ oz/hour[/tex]
Step-by-step explanation:
Given
[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]
Required
Express the rate as per hour
[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]
There are 168 hours in a week;
So, the rate becomes
[tex]Rate = \frac{91\ fl\ oz}{2.5 * 168\ hours}[/tex]
[tex]Rate = \frac{91\ fl\ oz}{420\ hours}[/tex]
[tex]Rate = 0.2167\ fl\ oz/hour[/tex]
Hence;
The equivalent of the given rate is [tex]0.2167\ fl\ oz/hour[/tex]
Evaluate:
-6+2[6+4(( - 3)^2 – 7)]
Answers
Steps to solve:
-6 + 2[6 + 4((-3)^2 - 7)]
~Solve exponent
-6 + 2[6 + 4(9 - 7)]
~Solve whats in parenthesis
-6 + 2[6 + 4(2)]
~Multiply
-6 + 2[6 + 8]
~Add
-6 + 2[14]
~Multiply
-6 + 28
~Add
22
Best of Luck!
What is the value of the expression below when z = 4?
10z - 3
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
37
▹ Step-by-Step Explanation
Plug in 4 for z:
10(4) = 40
Subtract:
40 - 3 = 37
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
how do u simply 2x+3y=5y
Answers
Answer:
x=y
Step-by-step explanation:
Collect Like terms from 2x+3y=5y
Like this: 2x=5y-3y (when switching sides, turn positive into negative, negative into positive)
2x=5y-3y
Simplify
2x=2y
Simplify
x=y
2x=2y
x=y
Hope this can help.
12 - d > 8. Solving inequalities
Answers
Answer:
d<4 I might not be right but I think this is correct
Step-by-step explanation:
Simplify both sides of the inequality.
−d+12>8
Subtract 12 from both sides.
−d+12−12>8−12
−d>−4
Divide both sides by -1.
[tex]\frac{-d}{-1}[/tex] >[tex]\frac{-4}{-1}[/tex]
d > 4
If f(x)= (3x+x)/(x-3) what is f(a+2)
Answers
Answer:
Videos of If F(X)= (3X+X)/(X-3) What is F(A+2)
Step-by-step explanation:
BRAINLIEST ASAP! PLEASE. HELP ME :) I need help with part 2 of the question.
Answers
Part 2:
-4a + 2 + 11a = 5a + 3 + 2a
~Combine like terms
7a + 2 = 7a + 3
~Subtract 2 to both sides
7a = 7a - 1
~Subtract 7a to both sides
0 = 1
Therefore, there are no solutions.
Best of Luck!
7a+2=7a+3
2=3 where 2 is not equal to 3, which the relationship of these equation are invalid.
Hence the solution set is a empty set since there is no solution available.
Hope this can help.
PLS HELP The lines below are parallel. If the slope of the green line is -3/4, what is the slope of the red line?
Answers
Answer:
-3/4
Step-by-step explanation:
Surely it's the same since they're parallel??
1/3 - 1/2 x 1/2 ?? Help please
Answers
Answer:
1/2
Step-by-step explanation:
1
3
−
1
2
(1)
2
=
1
3
−
1
2
2
=
1
3
−
1
4
=
1/12
___ power of 10 gives the answer 1,000,000,000? * 10 9 11 6
Answers
Answer:
9
Step-by-step explanation:
We see that we have 9 zeros.
We use the base 10 system to help us solve.
When we multiply anything by 10, we simply move the decimal place to the right.
Since we have 9 zeros, we move the decimal place 9 places to the right. Therefore, to get 1,000,000,000, we multiply 1 by 10⁹
Zero pairs are two numbers that _____ to get zero. 1. add 2. subtract 3. divide 4. multiply
Answers
On Monday, the price of gas was $3.50; on Tuesday the price dropped by $0.50;
and on Wednesday, the price increased by $0.65. Write and solve an addition
equation to show the final price of gas.
Answers
x2 – 25 = - 4x – 4
Solve the quadratic by factoring
Answers
Answer:
x = -7, +3
Step-by-step explanation:
x² - 25 = -4x - 4
Put it all on one side
x² - 25 + 4x + 4 = 0
Put like terms together
x² + 4x - 21 = 0
Factor
(x + 7)(x - 3) = 0
x + 7 = 0 ⇒ x = -7
x - 3 = 0 ⇒ x = +3
x = -7, +3
Plot the image of point P under a translation by 3 units to the right and 1 unit up
Answers
Answer:
where is the graph
Step-by-step explanation:
A 3-column table with 3 rows. Column 1 is labeled Scale factor with entries one-half, 1, 3.2. Column 2 is labeled Width with entries A, 10 feet, C. Column 3 is labeled Length with entries B, 18 feet, 57.6 feet.
The value of A is .
answer: 2,5,8,20
The value of B is .
answer: 8,9,27,36
The value of C is .
answer: 20,22,30,32
for Edg
Answers
Answer:
A=5
b=9
c=32
Step-by-step explanation:
The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Here, we have,
Given the equation:
y = 2.69x - 7.95
When x = 3:
y = 2.69(3) - 7.95 = 0.12
The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12
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complete question;
A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.
A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 5.1, negative 3.2, 1.0, 2.3, 5.6.
What is the residual value when x = 3?
–0.88
–0.12
0.12
0.88
Write the following in exponential form 10,000x10
Answers
Answer:
1.0 x 10⁵
Step-by-step explanation:
10,000 • 10 = 100,000
= 1.0 x 10⁵