Answer:
36 = 1
612 =?
(612×1)
----------
36
=17
What’s the formula for the series -5,10,-20,40
Answer:
Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:
Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:
[tex]\left \{ {{a_0=-5} \atop {a_{n+1}=-2a_n}} \right.[/tex]
Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:
[tex]a_n=-5 (-2)^n[/tex]
Either work, depending on what you need to use it for.
LSAT test scores are normally distributed with a mean of 150 and a standard deviation of 6. What score would place you in the top 2% of test-takers
Answer:
150 and standard deviation of 9. Queen s School of Business in Kingston, Ontario requires
Step-by-step explanation:
…………..
f (x) = 6x + 4. Find the inverse of f(x).
O A. f-1 (2) = 4 - 6x
O B. f-1(x) = 6x - 4
O c. f-(x) =
O D. f-'(x) = 20
2-4
-6
If [tex]f^{-1}(x)[/tex] is the inverse of f(x), then
[tex]f\left(f^{-1}(x)\right) = x[/tex]
By definition of f(x), we have
[tex]f\left(f^{-1}(x)right) = 6f^{-1}(x) + 4 = x[/tex]
Solve for the inverse :
[tex]6f^{-1}(x) + 4 = x[/tex]
[tex]6f^{-1}(x) = x - 4[/tex]
[tex]f^{-1}(x) = \dfrac{x-4}6[/tex]
which makes C the correct choice.
13. What is the equation of the line through the two points (5,2) and (5.-3)
Answer:
yes i love this app , this app so good
32. The length of each side of a square wooden box, in inches, is represented by the expression
8m'. The volume of the box, in cubic inches, is (8m").
Which simplified expression represents the volume of the box?
C. 512m
D. 512m
A. 8m
B. 24m
the length of the box is represented by (8m2)
does that mean 8m^2?
in English that would be 8 times m^2 or 8 * m * m.
if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.
if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.
working that out algebraically, it would look like this:
(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248
The simplified expression that represents the volume of the box is D. 512m.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The volume of a cube or a square box can be calculated by multiplying the length of one side by itself twice since all sides of a cube are equal. Therefore, the volume of the square wooden box in the question is:
Volume = (8m')³
= 8m' * 8m' * 8m'
= 64m' * 8m'
= 512m"³
So the simplified expression that represents the volume of the box is 512m"³. Both options C and D in the original question have the same answer, but there is a typo in option D where it only says "512m" instead of "512m³".
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p(x)=x-3
g(x) = 2x-5
Find the following.
(p ° q)(5)= and (q ° p)(5)=
Answer:
(p∘q)(5) = 2
(q∘p)(5) = -1
Step-by-step explanation:
The composition of functions can be written a little differently, perhaps making it easier to understand.
(p∘q)(x) = p(q(x))
(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3
(p∘q)(5) = 2
__
(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5
(q∘p)(5) = -1
Find the sum of the first 48 terms of the following series, to the nearest integer. 7,11,15
Answer:
7, 11, 15, 19, 23, 27, 31... and keep going until you have an answer.
Step-by-step explanation:
Just keep adding 4 until you have all the 48 terms you need.
Does (–1, 2) make the equation y = x + 9 true?
Answer:
(-1, 2) does not make the equation y=x+9 true.
Step-by-step explanation:
y=x+9
(-1, 2)=(x, y)
2=(-1)+9,
-1+9=8,
2 does not equal to 8.
Answer: No.
If f(x) = -3x2 + 5, find the value of f(4).
=
A. -139
B. -43
C. 53
D. 149
Answer:
B) -43
Step-by-step explanation:
f(x) = -3x²+5
f(4) = -3(4)²+5
f(4) = -3(16)+5
f(4) = -48+5
f(4) = -43
Answer:
B) -43
Step-by-step explanation:
f(x) = -3x²+5
f(4) = -3(4)²+5
f(4) = -3(16)+5
f(4) = -48+5
f(4) = -43
Find the value of the function sin Find the value of the function sin 310 a. –0.766044443119 c. 0 b. 0.850887688656 d. 0.003225800857
Answer:
b. 0.850887688656
Step-by-step explanation:
Unless the argument of the sine function is specified in degrees or some other angle unit (revolutions, grads, minutes, seconds), it must be assumed to be radians. Here, the argument 310 is not shown as 310°, so we must assume it is 310 radians.
sin(310) ≈ 0.850887688656
__
Additional comment
sin(310°) ≈ –0.766044443119
A radian is dimensionless, indistinguishable from a pure number.
(1-w-w²)⁶=64 prove thta
1−w−w2=64
Step 1: Simplify both sides of the equation.
−w2−w+1=64
Step 2: Subtract 64 from both sides.
−w2−w+1−64=64−64
−w2−w−63=0
For this equation: a=-1, b=-1, c=-63
−1w2+−1w+−63=0
Step 3: Use quadratic formula with a=-1, b=-1, c=-63.
w= −b±√b2−4ac /2a
w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)
w= 1±√−251/ −2
NEED HELP RELATIONSHIP IN TRIANGLES
Answer:
Step-by-step explanation:
10x-13=17x-41
DO YOUR WORK
a study of 1,400 cats revealed that 18 out of every 210 cats in the population have black hair. based on the results of the study, how many cats in the population do NOT have black hair?
Answer:
1280
Step-by-step explanation:
divide 1400 by 210
then multiply by 18
subtract that answer (120) from 1400,
and you get 1280
i dont get it PLEASEE I NEED HELP
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D) after applying the distributive property, this evaluates to be 9y + 27 and due to the commutative property is the same as 27 + 9y
A) 9y + 9 ≠ 6y + 6
B) 9y + 9 ≠ 9y + 6
C) 9y + 27 ≠ 12 + 9y
A car is traveling at a speed of 70 miles per hour. What is the car's speed in miles per hour? How many miles will the car travel in 5 hours?
How do you do it i am very confused/ i just need the answer lol
Answer:
No question!
Step-by-step explanation:
Hi! Could you please insert a question so I could answer for you?
I would love to help!
In Exercises 12-20, TA=AB=BC and TD= DE = EF
Write an Equation that relates AD and BE.
Based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)
Recall:
The midsegment theorem of a triangle states that length of midsegment = ½(the third side of the triangle).Given the image attached below, where, TA=AB=BC and TD= DE = EF, considering ΔTBE:
AD = midsegment of ΔTBEBE = third side of ΔTBETherefore, based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)
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Translate the phrase into an algebraic expression: 12acorns per qsquirrels?
Answer:
12/q acorns/squirrel
Which value of y makes the equation y+4.2=21 true?
I NEED THE ANSWER ASAP I ONLY HAVE 20 MINS TO COMPLETE
A. y = 16.8
B.y=17.2
C.y=17.8
D=25.2
Answer:
A: 16.8
Step-by-step explanation:
4.2 and 16.8 both have decimal place values. If you line up the decimals when you add them, then you get 21.
Which of the segments below is a secant?
С
F
О.
В
Д.
А
u
А. ОВ
B. AB
ООО О
C. DE
D. AD
Answer:
it is d i believe
The secant of a circle is line segment AD. Therefore, option C is the correct answer.
What is secant of a circle?A line that crosses a circle at two different locations is said to be a secant of the circle. The Roman verb secare, which meaning to cut, is the source of the word secant. It can also be thought of as the chord of a circle extended outside of the circle.
Given that, circle with center O.
In the given figure, FC is chord, OB is radius, AB is tangent, AD is secant and DE is tangent.
Therefore, option C is the correct answer.
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Ali had 5/7 of a spool of yarn. He used 5/6 of his yarn for a project. What fraction of the spool was used for the project? Write your answer in simplest form.
- Due 11:59 today
- Will mark brainliest
Answer:
Step-by-step explanation:
We have no idea what time zone you are in so hope this gets there soon enough.
Do you mean "What fraction of a FULL spool of yarn did he use?" because he used 5/6 of the spool he had.
IF SO
Then
(5/7)(5/6) = 25/42
That's just under 60% of a full spool would be used to complete the same project again.
f(x)=x^2-12x+20
a. f(0) = ?
b. f(2) = ?
c. f(x) = 0,x = ?
d. f(x)= 9,x = ?
Answer:
c . f(x)=0,x=????????????
Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
slope-intercept form:
[tex]y=mx+b[/tex]
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
[tex]3x+y=-5[/tex]
In this case, all you need to do is subtract 3x from both sides.
[tex]y=-3x-5[/tex]
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
[tex]y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8[/tex]
Finally, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=-3x-8[/tex]
From a horintal lengh of 101" and a rise of 13 inches over that lengh what is the angle of rise
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 13/101
x = arctan(13/101)
x = 7.334379 approximately
x = 7.33
(y+3):(y+5)=k:1
show that y=(5k-3)/(1-k)
hence y=(5k-2)/(1-k)
hi,
Express the ratios in fractional form, that is
= ( cross- multiply )
y + 3 = k(y + 5) ← distribute
y + 3 = ky + 5k ( subtract ky from both sides )
y - ky + 3 = 5k ( subtract 3 from both sides )
y - ky = 5k - 3 ← factor out y from each term on the left side
y(1 - k) = 5k - 3 ← divide both sides by (1 - k)
y = 5k- 3
____
1 - k
PLEASE HELP IM REALLY NEED HELP
Answer:
x=7
Step-by-step explanation:
3.5/3= 1.1666666666
6*1.16666666= 7
x=7
A scuba diver wants to dive more than 2/12 times her previous deepest dive. That means she has to dive at least 70 feet below the surface of the ocean. This dive is represented by the inequality 2/12p<−70, where p is the distance below the surface of her previous deepest dive.
Select from the drop-down to correctly interpret the solution of this inequality.
The scuba diver's previous deepest dive was
Choose...
feet below the surface of the ocean.
The distance below the surface of her previous deepest dive is 420 feet
Given the inequality expression representing the dive given as:
2/12p<−70We are to get the solution to the inequality expression;
Given;
2/12p<−70
Multiply both sides by 12:
2p < 70 * 12
2p < 840
Divide both sides by 2
2p/2 < 840/2
p < 420
Hence the distance below the surface of her previous deepest dive is 420 feet
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Answer:
2 1/2p<-70
the answer is deeper than 28
Step-by-step explanation: I took the test
i need help with this question
Answer:
so its 4 just bc
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
5x + 40 + 2(2x + 20) + x = 360
10x + 80 = 360
10x = 280
x = 28
5x + 40 =? 180
140 + 40 =? 180
180 = 180
Answer this!
18 divides x
this makes no sense so maybe try something better
how do I do this problem?
Answer:
Yes
Step-by-step explanation:
4 is greater then or equal to -6+5
4 is greater then -1 so the equation is true
