Answers
The point that is on the interior of angle CAB is Point E.
Which point is in the interior?A point that is in the interior of an angle or shape is on that is not on the angle, line or shape, and is instead within the shape itself.
Points A, B, and C are all on the line and so are not interior. Point B is outside the shape formed and so is not in the interior.
Point E is not on the line and it is inside the shape formed so it is in the interior.
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Related Questions
9. Find m
a. 52
b. 38
c. 12
d. 22
Answers
Answer:
∠ ABC = 52° , ∠ CBD = 38°
Step-by-step explanation:
the 2 angles form a right angle and sum to 90° , that is
∠ ABC + ∠ CBD = 90
4x + 4 + 5x - 22 = 90
9x - 18 = 90 ( add 18 to both sides )
9x = 108 ( divide both sides by 9 )
x = 12
then
∠ ABC = 4x + 4 = 4(12) + 4 = 48 + 4 = 52°
∠ CBD = 5x - 22 = 5(12) - 22 = 60 - 22 = 38°
The cost of downloading a book from a certain website is $5.99. The cost of downloading a video is $7.99. Tatum's mom downloads 3 books and 5 videos.
Answers
The total required cost of downloading books and videos is $57.92
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the total cost of downloading books and videos?The given parameters are:
Cost of downloading a book = $5.99
Cost of downloading a video = $7.99
The number of books and videos downlaoded are
Books = 3
Videos = 5
So, the total cost of downloading books and videos is
Total cost = Cost of downloading a book * x + Cost of downloading a video * y
This gives
Total cost = Cost of downloading a book * Books + Cost of downloading a video * Videos.
This gives
Total cost = 5.99 * 3 + 7.99 * 5
Evaluate
Total cost = 57.92
So, the total cost of downloading books and videos is $57.92
Hence, the total required cost of downloading books and videos is $57.92
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f(x)=2x+5/3x find f-1(x)
please answer quickly!
Answers
Answer:I think its 2x-5/3
Step-by-step explanation:
please let me know if I'm wrong.
16.) CONSTRUCT ARGUMENTS Mariah is training for a sprint-
distance triathlon. She plans on cycling from her house to
the library, shown on the grid with a scale in miles. If the
cycling portion of the triathlon is 12 miles, will Mariah
2
have cycled at least of that distance during her bike ride?
Justify your argument.
Answers
Using the distance between two points, it is found that she cycles a distance of 8.6 miles, which is more than 8 miles, hence more than 2/3 of the cycling portion of the triathlon.
What is the missing information?The coordinates are given as follows:
Library (4,9).Mariah's House: (9, 2).It asks if the distance that he cycles from her house to the library is at least 2/3 of 12 miles = 8 miles.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence the distance between her house and the library is:
[tex]D = \sqrt{(9 - 4)^2 + (2 - 9)^2}[/tex]
D = 8.6 miles.
She cycles a distance of 8.6 miles, which is more than 8 miles, hence more than 2/3 of the cycling portion of the triathlon.
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1. What is greenhouse effect?
Answers
The heat of the sun penetrates the atmosphere and warms the Earth's surface. The warmed rEarth Radiates and this heat back into the atmosphere.The gases the surround the atmosphere such as carbon dioxide , methane , nitrous oxide and water vapour absorb some of the radiated heat and send it back to the Earth . This trapping of heat from the Sun by excess carbon dioxide and other gases present in the atmosphere is known as the greenhouse effect. The gases involved in the phenomenon are called greenhouse gases.
Hope it helps ~(•‿•)Write each fraction as a percent 17/20
Answers
Answer:
85%
Step-by-step explanation:
[tex]\frac{17}{20} * 100 = 85[/tex]
Answer:
85%
Step-by-step explanation:
See attachment for answers.
Determine whether each conjecture is true or false. Give a counterexample for any false conjecture.
1. If AB, BC, and AC are congruent, then A, B, and C and colllinear.
2. If <1 is complementary to <2, and <1 is complementary to <3, then <2 ≅ <3.
Answers
The given conjecture "If AB, BC, and AC are congruent, then A, B, and C and colllinear" is false.
How to Interpret Conditional Statements?Notice that the given conjecture does not necessarily be always true.
To be precise; there are no reasons as to why A, B and C must be noncollinear.
1. we are given If AB, BC, and AC are congruent, then A, B, and C and colllinear.
A,B ,C are not collinear so it will be false
Therefore, the given conjecture "If AB, BC, and AC are congruent, then A, B, and C and colllinear" is false.
A Counter- example of the given statement is that A, B, C are three points that lie on the same line and so they are collinear.
2. We are given If <1 is complementary to <2, and <1 is complementary to <3, then <2 ≅ <3.
It may be true.
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Determine the slope of the blue and green line
Answers
Answer:
2/-9
Step-by-step explanation:
For each direct variation, find the constant of variation. Then find the value of y when x=-3 .
y=-5 when x=3/2
Answers
After direct variation y = 10 when x = -3.
What do we mean when we say "direct variation"?To give the reader a hint, direct variation equations use the same phrase.The phrase could be "directly proportional" or "directly varies."For example, the area of a square is proportional to the square of its side.The variational constant is k = 3 if y varies directly as x and y = 6 when x = 2.As a result, y = 3x is the direct variation equation.So,
The initial statement is y = kx
Then to find y when x = -3.
K constant will be y/x ⇒ -5/3/2 = -10/3That is y = kx ⇒ y = -10/3 × xWhen x = -3:
y = -10/3 × -3 ⇒ y = 10Therefore, y = 10 when x = -3.
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Karina drinks 42 oz of water in 1 day. In 1 week, Karina drinks 294 oz.
Answers
Step-by-step explanation:
???????????????????????
Answer: Your answer is 6.
Step-by-step explanation:
You need to divide 42 from 294.
b. An 80 -kg diver stands on a 6 -m diving platform. At what height should a 40 - kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.
Answers
The 40kg driver should be able to sit on the 12m driving platform to have equal potential energy.
What is potential energy?Potential energy is the energy held by an object as a result of its position relative to other objects, internal stresses, electric charge, or other factors.The gravitational potential energy of an object, which depends on its mass and distance from the center of mass of another object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field are all examples of common types of potential energy. The joule, denoted by the symbol J, is the unit of energy in the International System of Units (SI).The formula of the potential energy of each driver:
Driver 1: PE = gmh = 9.8 · 80 · 6Driver 2: PE = gmh = 9.8 · 40 · hReplace the value of PE for driver 1 with the driver 2 formula.
9.8 · 80 · 6 = 9.8 · 40 · hNow, solve for (h) height:
9.8 · 80 · 6/9.8 · 40 ⇒ h - 12Therefore, the 40kg driver should be able to sit on the 12m driving platform to have equal potential energy.
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there are two integers between 1 and 100 such that for each: if you divide by 4, the remainder is 3; if you divide by 3, the remainder is 1; if you divide by 5, the remainder is 1. what is the sum of those two integers?
Answers
Let [tex]n[/tex] be an integer such that
[tex]\begin{cases} n \equiv 1 \pmod 3 \\ n \equiv 3 \pmod 4 \\ n \equiv 1 \pmod 5 \end{cases}[/tex]
Note that (3, 4, 5) are mutually coprime, so we can use the Chinese remainder theorem.
Starting with
[tex]n = 1 + 3 + 1[/tex]
we adjust to
[tex]n = (1\cdot4\cdot5) + (3\cdot3\cdot5) + (1\cdot3\cdot4)[/tex]
to make computing the residues a bit easier.
• Taken modulo 3, we have
[tex]n \equiv 20 + 0 + 0 \equiv 2 \not\equiv 1 \pmod 3[/tex]
so we need to further adjust the first term by introducing the inverse of 2 modulo 3. We have
[tex]2\cdot2 \equiv 4 \equiv 1 \pmod 3 \implies 2^{-1} \equiv 2 \pmod 3[/tex]
Then
[tex]n = (1\cdot4\cdot5\cdot2) + (3\cdot3\cdot5) + (1\cdot3\cdot4)[/tex]
• Taken modulo 4, we have
[tex]n \equiv 0 + 45 + 0 \equiv 1 \not\equiv 3 \pmod 4[/tex]
We need another inverse; we have
[tex]3\cdot3 \equiv 9 \equiv 1 \pmod 4 \implies 3^{-1} \equiv 3 \pmod 4[/tex]
and so
[tex]n = (1\cdot4\cdot5\cdot2) + (3\cdot3\cdot5\cdot3) + (1\cdot3\cdot4)[/tex]
• Taken modulo 5, we have
[tex]n \equiv 0 + 0 + 12 \equiv 2 \not\equiv 1 \pmod 5[/tex]
One more inverse:
[tex]2\cdot3 \equiv 6 \equiv 1 \pmod 5 \implies 2^{-1} \equiv 3 \pmod 5[/tex]
and so
[tex]n = (1\cdot4\cdot5\cdot2) + (3\cdot3\cdot5\cdot3) + (1\cdot3\cdot4\cdot3)[/tex]
Simplifying, we have [tex]n = 211[/tex], and by the CRT we have
[tex]n \equiv 211 \pmod{3\cdot4\cdot5} \implies n \equiv 31 \pmod{60}[/tex]
which is to say [tex]n=60k + 31[/tex] where [tex]k[/tex] is an integer.
The two integers that fall between 1 and 100 occur for [tex]k\in\{0,1\}[/tex]; they are 31 and 31 + 60 = 91, and their sum is 31 + 91 = 122.
29.14 × 5.2 estimation step by step please
Answers
5.2 rounded to 5.0 or 5
So…
30 X 5 = 150
The answer is 150
Give an argument that shows that every polynomial family of degree n>2 contains polynomials that cannot be generated from the basic function y=xⁿ by using stretches, compressions, reflections, and translations.
Answers
Answer: because if you have a argument you have all.
Step-by-step explanation:
what do this mean positive number and negative numbers mean in context to sea level
and elevation.
Answers
360000/180 in standard form
Answers
Answer:
2000
Step-by-step explanation:
Fill in the blanks
A(n) ? with a base e is a __________.
Answers
When e>1, the base - e exponential function is an increasing function.
What accurately is an exponential function?When the input variable x appears as an exponent in the formula f(x) = ax, it indicates an exponential function.The exponential curve is affected by both the exponential function and the value of x.The exponential function is a fundamental mathematical function whose formula is as follows:f(x) = aˣ
Where a>0 is not equal to 1.x can be any genuine number.If the value of the variable is negative, the function for (-1<x<1) is undefined.Here,
"x" is the variable.The function's base, "a," is a constant.Depending on the exponential function, an exponential curve can increase or decrease.If a quantity increases or decreases by a predetermined percentage on a regular basis, it should exhibit either exponential growth or exponential decay.So,
If b>1:Then the exponential function.So, f(x) = b^x is an increasing function.Therefore, when e>1, the base - e exponential function is an increasing function.
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How can you rewrite each function as a piecewise-defined function?
f(x) = -5x - 10|
Answers
Value of the given function as a piecewise-defined function is equal to
f(x) = -5x -10 , x ≤ -2
5x +10 , x > -2
As given in the question,
Function as a piecewise-defined function
y = |x| = x , x≥0
-x , x<0
Given function: f(x) = |-5x-10|
-5x -10≥0 ⇒ -5x ≥ 10 ⇒x ≤ -2
-5x -10 <0 ⇒ -5x < 10 ⇒ x> -2
Therefore, value of the given function as a piecewise-defined function is equal to
f(x) = -5x -10 , x ≤ -2
5x +10 , x > -2
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Solve each equation.
x²+7 x-8=0
Answers
After solving, the factors of the equation x²+7x-8=0 are:
(x + 8) and (x - 1)What is an equation?A mathematical statement made up of two representations joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value for the variable x as x = 7 after solving this equation.So,
Given equation: x²+7x-8=0Then,
x²+7x-8 = 0x²+x( - )-8 = 0x²+x( 8 - 1 )-8 = 0x²+8x -x -8x(x + 8) -1( x+8)Factors are: (x + 8) and (x - 1)
Therefore, after solving, the factors of the equation x²+7x-8=0 are:
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What is an equation of the line that is perpendicular to y = 3x - 9and that
passes through the point (3, 1)?
y =
Answers
Answer:
y = -1/3x + 2
Step-by-step explanation:
The slope of a line that is perpendicular has an opposite inverse of the slope of the line given.
The slope of the line given is 3. The opposite inverse is -1/3.
Use the slope (-1/3), the x(3) and the y(1) to find the y-intercept (b) and to write the equation of the line.
y =mx + b
1 = -1/3(3) + b
1 = -1 + b Add 1 to both sides
2 = b
y = -1/3x + 2
Rationalize the denominator of each expression. Assume that all variables are positive. √36 x³/√12y
Answers
The rationalization of the given expression is x√3 .
Rationalization can be thought of as the process used to remove the base or imaginary number from the denominator of an algebraic fraction. That is, remove the radical of the fraction so that the denominator contains only rational numbers.Radicals are expressions that use roots such as: B. Square root or cube root. For example, an expression of the form: √(a + b) is a root.The mathematical conjugate of any binomial means another exact binomial with opposite signs between the two terms.We have to rationalize the denominator of the expression √36 x³/√12x ,
where x is positive.
√36 x³/√12x
= √36 x³/√12x × √12x ×√12x
= 6√(x³ × 12x)/√(12x × 12x)
= 6√(x⁴12)/12x
= √(12x⁴)/2x
= √(2 × 2 × 3 × x × x × x × x)/2x
= 2x²√(3)/2x
= x√3
The answer is x√3
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Eve write (1.2x10^5)divided by (3x10^2)
Answers
Answer:
1.2 x. 100000
3. x. 100
=120000
300
=400
Solve 5x-12-6x=-10x+7-1 (please fill out each step)
Step 1. Collect like terms
Step 2.Move variables to one side of the equation (addition/subtraction property of equalities)
Step 3. Move constant to the other side of equation (Addition/subtraction property of equalities)
Step 4.(multiplication/division property of equalities)
Answers
5x-12-6x=-10x+7-1
=5x-6x+10x=7-1+12
= 9x=18
=9x/9=18/9
=x=2
0.96 x 0.12 step by step pls
Answers
Answer:
0.1152
Step-by-step explanation:
multiply 0.96 by 0.12 to get 0.1152.
HELP PLEASE I NEED HELPPI’ll make you brainlist and it’s Algebra btw
Answers
=====================================================
Explanation:
The regression equation is in the form y = mx+b
m = slope = -0.624b = y intercept = 66.022The slope tells us how much the value of y changes each time x goes up by 1. In this case, the scores decrease by 0.624 percentage points each time x goes up by 1
You can think of it like saying
slope = rise/run = -0.624/1rise = -0.624 = y drops by 0.624run = 1 = x increases by 1This is why the answer is 0.624. We don't type the negative sign because that is part of the term "decrease".
A rectangular room has an area of 575 square feet. The length of the room is 2 feet less than the width of the room. Find the length and width of the room, in feet, and separate them with a comma.
Answers
Answer:
w=17.613
l=15.613
Step-by-step explanation:
w×l=area
l=w-2
therefore w×(w-2)=575
rearrange the equation to make a quadratic
(w^2)-2w-575=0
w=-(b+ or - sqrt (b^2-4ac))/2a
a=1
b=-2
c=-575
using quadraric formula to solve
w=17.613 or -15.613
cant be -15.613
l=w-2
=15.613
Psychologists use an exponential model of the learning process, f(t)= c(1-e -kt) , where c is the total number of tasks to be learned, k is the rate of learning, t is time, and f(t) is the number of tasks learned.
a. Suppose you move to a new school, and you want to learn the names of 25 classmates in your homeroom. If your learning rate for new tasks is 20 % per day, how many complete names will you know after 2 days? After 8 days?
Answers
We will know 8 complete names after 2 days and 20 complete names after 8 days.
Here, we are given an exponential function: f(t)= c{1- [tex]e^{-kt}[/tex]}
where f(t) = number of tasks learned.
c = total number of tasks to be learned
k = rate of learning
t = time
Now, when we move to a new school, number of names we need to learn ⇒ c = 25
learning rate for new tasks = 20%
⇒ k = 0.2
and time = 2 days
⇒ t = 2
Substituting these values in the given function we get-
f(2) = 25{1- [tex]e^{-0.2 *2}[/tex]}
= 25{1- [tex]e^{-0.4}[/tex]} [tex]e^{-0.4}[/tex]
= 0.67
Thus, f(2) = 25( 1-0.67 )
f(2) = 25(0.33)
f(2) = 8.25
Thus, we will be able to learn 8 complete names in 2 days.
If t = 8f(8) = 25{1- [tex]e^{-0.2 * 8}[/tex]}
= 25{1- [tex]e^{-1.6}[/tex]}
= 25(1- 0.20)= 25(0.80)
= 20
Thus, we will be able to learn 20 complete names in 8 days.
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You are filling traffic cones with sand to keep them from blowing over. the cone has a radius of 7 inches and a height of 28 inches. approximately how much sand, in cubic inches, can fit inside the cone?
Answers
If you are filling traffic cones with sand to keep them from blowing over and the cone has a radius of 7 inches and a height of 28 inches, then 1436 cubic inches of sand can fit inside the cone.
The volume of the cone can be described as the measure of a 3-D space occupied by matter.
The volume of sand in cubic inches that can fit inside the traffic cone can be calculated by the formula,
v = πr²h / 3
As the radius of the cone = 7 inches
Height of the cone = 28 inches
v = π(7)²28 / 3
v = (π)(49)(28) / 3
v = (π)(1372) / 3
As π = 3.14
v = (3.14)(1372) / 3
v = 4308.08 / 3
v = 1436.02 ≈ 1436 cubic inches
Hence, 1436 cubic inches of sand is calculated to fit inside the cone.
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Necesito ayuda urgenteee
Un cine tiene 800 butacas: durante la semana la asistencia fue: el lunes
2/5, martes 4/5, miércoles 4/5, jueves 1/5, viernes 3/5, sábado y domingo
completo. El precio de la entrada 8’7 €. ¿Cuál fue la recaudación de toda
la semana?
Answers
The total collection is 33408
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total = 800 seats
On Monday 2/5
So, seats= 800*2/5 = 1600/5
=320 seats
On Tuesday
seats = 800 * 4/5
=3200/5
= 640
On Wednesday
seats = 800 * 4/5
=3200/5
= 640
On Thursday
seats = 800 * 1/5
=800/5
= 160
On Friday
seats = 800 * 3/5
=2400/5
= 480
As, the ticket price is €8.7
On Monday price of ticket = 320*8.7=2784On Tuesday price of ticket = 640*8.7=5568On Wednesday price of ticket = 640*8.7= 5568On Thursday price of ticket = 160*8.7=1392On Friday price of ticket = 480*8.7=4176On Saturday price of ticket = 800*8.7=6960On Sunday price of ticket = 800*8.7=6960Hence, the total collection = 33408
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The translation of the complete question is
I need urgent help
A cinema has 800 seats: during the week the attendance was: on Monday
2/5, Tuesday 4/5, Wednesday 4/5, Thursday 1/5, Friday 3/5, Saturday and Sunday complete. The ticket price is €8.7. What was the collection of all
week?
5. A bird is at 20 feet above sea level. A fish is 14 feet below sea level. What is the difference? on the number line
Answers
Answer:
I think its 34 feet
Step-by-step explanation:
If you subtract 20 to get to 0 its 20, minus another 14 to get to zero is 14. Add them and you get 34 feet. Hope it helps! =)
The difference in their positions on the number line is 34 feet
How to determine the difference on the number linefrom the question, we have the following parameters that can be used in our computation:
Bird = 20 feet above sea level
Fish = 14 feet below sea level
using the above as a guide, we have the following:
Bird = 20 feet
Fish = -14 feet
So, we have
Difference = 20 feet - -14 feet
Evaluate
Difference = 34 feet
Hence, the difference on the number line is 34 feet
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