Lines A and B are parallel
A
1
2
50° 4
B
5 6
8
mZ2 = [?]°
18. Given that g(x) = -(x^2)/4, what is the value of g(+8) ?
F. -16
G. 4
H. -1
J. 4
K. 16
Answer:
F. -16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = -\frac{x^2}{4}[/tex]
Step 2: Evaluate
Substitute in x [Function g(x)]: [tex]\displaystyle g(-8) = -\frac{(-8)^2}{4}[/tex]Exponents: [tex]\displaystyle g(-8) = -\frac{64}{4}[/tex]Divide: [tex]\displaystyle g(-8) = -16[/tex]In a box there are n red marbles and three times as many black marbles. There are 36
marbles in the box. How many red marbles are in the box?
Answer:
it is 12
Step-by-step explanation:
for n= 36 divided by 3.
Michelle decides to ride her bike one day. First she rides her bike due south for 12 miles, then the direction of the bike trail changes and she rides in the new direction for a while longer. When she stops, Michelle is 2 miles south and 10 miles west from her starting point. Find the total distance that Michelle covered from her starting point.
Answer:
Total Distance Michelle Covered is 26.14 miles
Step-by-step explanation:
According To the Question, We Have
Michelle First Ride Her bike In 12 miles South, then Changed her Direction & Ride Bike For A long While, and when she stopped she find Herself 2 miles south and 10 miles west from starting point. that shows she change direction and start walking in South-West Direction.
(For Diagram, Please Find in attachment)
In Triangle ABC , Apply Phythagorus Theorem
AB² = BC² + AC²
AB² = 10² + 10²
AB² = 200
AB = √2×10 ⇔ 14.14 miles
Now The Total Distance Travelled by Michelle Would be
OA + AB = 26.14 miles
help please asap just the answers
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{\:13}}}}[/tex]
8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{-14}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
PLEASE HELP ASAP!!!!!!!
Is the function ƒ(x) = (9/10)^x an exponential function? If so, identify the base. If not, why not?
Answer:yes, base = 9. No, the exponent is not variable. yes, base =9/10.
Step-by-step explanation:
Find the value of k if the slope of the line 2x-ky+3=0 is 5/3
Answer:
6/5
Step-by-step explanation:
2x+3=ky
ky=2x+3
y=(2x+3)/k
y=2x/k + 3/k - > equation 1
y=mx + c - >equation 2
Comparing equation 1 and 2,
2/k=m
2/k=5/3
6/5=k
k=6/5
find the product (9x+9)(x+2)
Answer:
9x^2 + 27x + 18
Step-by-step explanation:
(9x + 9)(x + 2)
=9x(x + 2) +9(x + 2)
=9x^2 + 18x + 9x + 18
=9x^2 + 27x + 18
I'll give brainliest!
Step-by-step explanation:
Answer:
D. 4 And 8
#Carryonlearning
Answer:
B
Step-by-step explanation:
The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.
Step-by-step explanation:
everything can be found in the picture
These prisms are similar. Find the volume
of the larger prism in decimal form.
5 m
7 m
Volume = 50 m3
Volume = [ ? ] m3
PLEASE HELP IM OVERDUE
Answer:
98 m³
Step-by-step explanation:
For similar shapes
The ratio of the cube of the corresponding length of similar shapes is equal to the ratio of their volume.
Applying,
L³/L'³ = V/V'............... Equation 1
Where, L = Length of the smaller prism, L' = Length of the larger prism, V = Volume of the smaller prism, V' = Volume of the larger prism
From the question,
Given: L = 5 m, L' = 7 m, V = 50 m³
Substitute these values into equation 1
5²/7² = 50/V'
25/49 = 50/V'
V' = (50×49)/25
V' = 98 m³
Answer: 137.2
Step-by-step explanation:
I'm just making the correct answer an actual answer instead of a comment so it's easier to see
prove that: sin8A/1-cos8A=cot4A
Step-by-step explanation:
Recall the identity
[tex]\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}[/tex]
We can see that
[tex]\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A[/tex]
Hi, I need help with this question. Here is the question: For which data set is the median greater than the mean?
(1) { 4,7,10,13,16} (3) {8,9,10,11,12}
(2) {8,9,10,18,19} (4) {1,2,10,11, 12}
Please give me the answer(the method used for this problem) and an explanation.
Answer:
Set 2
Step-by-step explanation:
First find the median of each set (the median being the number in the middle):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 10
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 10
Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 12.8
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 7.2
the answer being 12.8 since 12.8 is greater than 10
(4) {1,2,10,11, 12}
Answer:
Solution given:
1:
{ 4,7,10,13,16}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={ 4+7+10+13+16}/{5}=10
(2)
{8,9,10,18,19}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+18+19}/{5}=12.8
3) {8,9,10,11,12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+11+12}/{5}=10
(4) {1,2,10,11, 12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={1+2+10+11+13}/{5}=7.4
In above
1: mean=median
2:mean>median
3:mean=median
4:mean<median
so median is greater than mean is in 4th one.
(4) {1,2,10,11, 12}
help help help help help
Answer:
soryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Step-by-step explanation:
iiiiiiiiiiiiiiiiiiii neeeeeeeeeeeeeeeeeeeed pointsssssssssssssssssssssssssssssssssss.
write tge following numbers expanded forms.
23900068407
Answer:
Step-by-step explanation:
20000000000+3000000000+900000000+60000+8000+400+7
The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.
Answer:
S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )
Step-by-step explanation:
coordinate of x is (-2 , 6)
scale factor to transform the triangle is 3/2
so to find S' use this scale factor
formula :
(x , y) = (kx , ky) (k means scale factor)
S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)
S'(-3 , 9)
now to find S'' again use the same formula
(x , y ) = (kx , ky)
this time take S' and to find S'' use 1/2 as scale factor
S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)
S''(-3/2 , 9/2)
The transformation is S'' = (-3/2, 9/2). The correct option is A.
Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.
The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.
The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.
formula :
(x , y) = (kx, ky) (k means scale factor)
S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)
S'(-3 , 9)
Now to find S'' again use the same formula:
(x , y ) = (kx, ky)
this time take S' and to find S'' use 1/2 as the scale factor.
S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)
S''(-3/2 , 9/2)
To know more about scale factors follow
https://brainly.com/question/26541943
#SPJ2
7.5 as an improper fraction in its simplest form
Answer:
7.5 as an improper fraction in its simplest form would be 15/2
On Monday the temperature was 12°C. On Tuesday it decreased by 12°C. Which expression can be used to represent this situation?
Let R be the region bound by the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on theinterval 0 ≤ x < π.
b) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis.
c) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x = –1.
Answer:
b.
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
(c)
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
Step-by-step explanation:
b. The volume of solid formed is given by the washers formula as follows;
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;
[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]
(c) We have;
x = arcos(y - 2), x = arcsin(1/y)
At x = 0, y = 2 + cos(0) = 3
csc(0) = ∞
At x = π, y = 2 + cos(π) = 2 + -1 = 1
csc(π) = ∞
Therefore, we get;
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
How to find the integral volume of solid?
B) The volume of solid formed is gotten from applying the washers formula;
[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]
This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) From answer above, we have;
x = cos⁻¹(y - 2), x = sin⁻¹(1/y)
Now,
At x = 0; y = 2 + cos(0) = 3
csc(0) = 1/0 = ∞
Also,
At x = π; y = 2 + cos(π)
y = 2 + (-1)
y = 1
Also, csc(π) = ∞
Thus, we have;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
Read more about finding the integral volume of solid at; https://brainly.com/question/21036176
Can someone please figure this out thank you
Using the tangent ratio below:
[tex] \large \boxed{tan A = \frac{opposite}{adjacent} }[/tex]
Therefore, the tangent ratio for a right triangle is:
[tex] \large{tanA = \frac{8}{12} }[/tex]
For this part, use the arctan to find the measure of A.
[tex] \large{arctan( \frac{8}{12} ) = A} \\ \large{arctan( \frac{8}{12} ) = 33.69 \degree}[/tex]
Therefore measure of A is 33.69, round to the nearest tenth as we get 33.7 degrees.
Answer
A = 33.7 degreesFurthermore, the question mentions the nearest tenth, that means the b and e choice should be cleared out.
Let me know if you have any doubts regarding the trigonometric ratio.
What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42
Answer:
410
Step-by-step explanation:
Inputs are x's
Substitute the 18 where you see the x
y = 23(18) - 4
y= 414 - 4
y = 410
It's urgent i need help someone help me!
Answer:
x=50, y=20
Step-by-step explanation:
50-20=30, 50+20=70
3y - 5 (2x + 3) - 12
Answer:
The answer is 3y - 10x - 27
American Airlines sold a certain number of tickets from Los Angeles to the bay island in Honduras. They charged $120 for flight x and the remaining tickets for $280 for flight y. If the airline sold 59 tickets and collected a total of $12,520 from the sale of those tickets. A) how many tickets of each flight were sold. B) how much money was made from each flight?
Answer:
y =34
x = 25
Money made from flight x = 3000
Money made from flight y = 9520
Step-by-step explanation:
Tickets sold
59= x+y
Amount of money
120x + 280y = 12520
Using substitution
x = 59-y
120( 59-y) + 280y = 12520
7080 - 120y +280y = 12520
Combine like terms
160y +7080 = 12520
Subtract 7080
160y = 12520-7080
160y =5440
Divide by 160
160y/160 = 5440/160
y =34
Now find x x = 59-y = 59-34 =25
x = 25
Money made from flight x =
120*x = 120*25 =3000
Money made from flight y =
280*y= 280*34=9520
Parallel maze puzzle
Answers:
d) verticalc) alternate interiorf) supplementarye) alternate exteriorg) correspondinge) alternate exteriorf) supplementaryc) alternate interiore) alternate exteriorLetters 'a', b, and h are never used.
Letters c and f show up twice each; e shows up 3 times.
=====================================================
Explanations:
Angles 1 and 2 are vertical angles because they are opposite one another in this X configuration. Vertical angles are always congruent.These angles are alternate interior angles because they are inside the parallel lines (hence the "interior") and they are on alternating sides of the transversal cut.The two angles shown here form a straight line, so that's what makes them supplementary. Supplementary angles add to 180 degrees.Angle 4 and angle 5 are on alternating sides of the transversal, but this time they are outside the parallel lines. So that's why we go for alternate exterior this time. Angles 5 and 6 are in the same southwest corner of each four-corner configuration, which makes them corresponding angles.It's the same idea as problem 4Same idea as problem 3.Same idea as problem 2.Same idea as problems 4 and 6.---------------
None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.
We cross off option b as well because none of the angles add up to 90 degrees.
someone PLSSSS HELPPP !! fast pls please
Answer:
A. i think
Step-by-step explanation:
Answer:
4, -16, 64, -256
the common ratio is -4
Step-by-step explanation:
what is the area of a flower pot that have the shape of a semi circle and its diameter 2.8cm?
Step-by-step explanation:
The area of a circle = pi r^2
d = 2r Divide by 2 to get the radius
r = d/2
The diameter = 2.8 cm
r = d/2
r = 2.8/2
r = 1.4
The area of the circle = pi * r^1
The area of the circle = 3.14 * 1.4^2
The area of the circle = 6.1544
But you are working with a semic circle
The area of a semicircle is 1/2 that of a circle
Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded
whats the factor:81x3-3000
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Answer:
3(3x - 10)(9x² + 30x + 100)
Step-by-step explanation:
Given
81x³ - 3000 ← factor out 3 from each term
= 3(27x³ - 1000 )← a difference of cubes which factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
27x³ - 1000
= (3x)³ - 10³
= (3x - 10)((3x)² + (3x)(10) + 10²)
= (3x - 10)(9x² + 30x + 100)
Then
81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form
Complete the expanded form of this number.
6,738
Enter numbers from greatest to least place value starting on the left.
6,000 + 700 + 30 + 8 is the expanded from.
What are the two possible measures of the angle below?
Answer:
90 or -270
Step-by-step explanation: