Answer:
The explicit formula of that sequence is T - 5
Step-by-step explanation:
Let T represent each term in the sequence. So now try replacing T with each term in the sequence. Like this ;
7 - 5 = 2
2 - 5 = -3
-3 - 5 = -8
hope this helps
Find the input (x) of the function y=5x-3 if the output (y) is 32
Answer:
x = 7
Step-by-step explanation:
Given
y = 5x - 3 ← equate 5x - 3 to 32
5x - 3 = 32 ( add 3 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7 ← input
Answer:
x=7
Step-by-step explanation:
y=5x-3
y = 32
32 = 5x- 3
Add 3 to each side
32+3 = 5x-3+3
35 = 5x
Divide by 5
35/5 = 5x/5
7 =x
- 6 x 8 - (4)² - (-72)
Answer:
[tex] - 6 \times 8 - {4}^{2} - ( - 72) \\ 48 - {4}^{2} - ( - 72) \\ 48 - 16 - ( - 72) \\ 48 - 16 + 72 \\ = 104[/tex]
The area CA) of a Paroullelogram is found by using this formula A =BH What is the area when to b is 7cm and h is 3cm?
Answer:
21cm2
Step-by-step explanation:
Area (A = BH)
B = 7cm
H = 3cm
Therefore we multiply Base(B) with height (H) to get the area.
Hence;
Area = (7 × 3) cm2
= 21cm2
Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10
Answer:
8 sqrt(10)
Step-by-step explanation:
2 sqrt(8) * sqrt(20)
We know sqrt(a) * sqrt(b) = sqrt(ab)
2 sqrt(8) * sqrt(20)
2 sqrt(160)
2 sqrt(16*10)
2 sqrt(16) sqrt(10)
2 *4 sqrt(10)
8 sqrt(10)
Answer:
First, we can write 2√8 as 2 x √8. This will make the next calculations easier.
So the problem becomes 2 x √8 x √20.
We can group together √8 and √20, to get √160.
And we have: 2√160.
However, this can be simplified further, as 16x10 = 160, and so we obtain the final answer of 8√10.
C is correct.
John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3
B
4x6y10z
C
8x5y7z3
D
16x6y10z2
D [tex]\bold{16x^{6}y^{10}z²}[/tex]
Answer:
John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.
[tex](4x^{3}y^{5}z)²[/tex]
remenber that square is for all
and power is multiplied
[tex]4²x^{3*2}y^{5*2}*z²[/tex]
[tex]16x^{6}y^{10}z²[/tex]
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]
Translate the phrase into an algebraic expression. The product of 3 and w
BRAINLEST IF CORRECT!!!!
x + 133 = 180
x = 180 - 133 (Linear Pair)
x = 47
Therefore x° = 47°
Answered by Gauthmath must click thanks and mark brainliest
Answer:
47
Step-by-step explanation:
reason: Being sum of supplement angle
what is
f(x)= (x-12)(x+1)
in standard form?
Answer:
x^2-11x-12
Step-by-step explanation:
I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)
Then you multiply it out and get the equation
F(x)= x^2+x-12x-12
Simplify your equation and you get
F(x)= x^2-11x-12
anyone know the mean median and mode for this?
with work show pls
Answer:
just apply d formular 4 each
lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular
for median=£f/2 since it's odd number add +1
=£f+1/2
=23+1/2
=24/2
=12 .the 12 would fall on 69 inches using the cumulative method
mode is 66 since it's the number with the highest frequency
Simplify
Help me please
Answer:
[tex]\frac{-27b^{6}}{c^{18}}[/tex]
Step-by-step explanation:
first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have [tex]-27b^{6}c^{-18}[/tex]. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=[tex]\frac{1}{c^{18}}[/tex], plug it in and you get [tex]\frac{-27b^{6}}{c^{18}}[/tex]
Determine whether the two triangles are similar.
Answer:
The Second One
Step-by-step explanation:
It Shows Side Lengths, and the angles for LOM and PON connect at O.
That means they share a similar angle, and between the angle are Sides.
SAS. (Side-Angle-Side)
(I'm not really good at math so i'm sorry if its wrong!)
In New York, an Uber costs $15 plus $1.84 per mile. If you are traveling from the airport, there is an additional charge of $7.95 for tolls.
How far can you travel from the airport by Uber for $45.84?
a.14 miles
b.10 miles
c.12 miles
d.23 miles
Answer: C; 12 miles
Solution:
1) Add the initial Uber cost ($15) and airport toll charge:
$22.95
2) Subtract 22.95 from 45.84
$22.89 to spend on miles
3) Divide 1.84 (cost per mile) from 22.89
≈ 12.44 miles
Round down to 12 miles or option C
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
What's 179 square root
Show how
Answer:
The square root of 179 rounded up to 7 decimal places is 13.3790882. It is the positive solution of the equation x² = 179.
1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?
Answer:
Step-by-step explanation:
The choices aren't given. Be careful to give choices if the question says there are choices. It makes answering kind of iffy.
C = 34 + 1.5*h where h is the number of hours Leah was in the park.
Write your answer as a polynomial or a rational fraction in simplest form
Answer:
- 4x^2-15x
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x
SOMEONE HELP ME PLS
Answer:
as both triangles are congruent......
AB = PQ
BC = QR
CA = RP
So AB = PA so... 2x + 1 = x + 7
so x = 7 - 1 = 6
now BC = QR so.... 4y + 3 = 2y + 11
so 2y= 8 and y= 4
brainliest plssssss
how do you do this with always never one solution 3х – 12 = 4х + 3 is this true or never true
3x - 12 = 4x + 3
3x - 4x = 3 + 12
-x = 15 / : (-1)
x = -15
Answer:
One solution
Step-by-step explanation:
3х – 12 = 4х + 3
3x - 4x = 3 + 12
-x = 15
x = -15
This is a one solution because x only equals 1 number.
Evaluate the function for x = 3a.
f(x) = 2x^2 – 3x +4
A. 9а
B. 6a^2- 9a + 4
C. 18a^2 - 9a +4
D. 12a^2 - 6a+4
Answer:
C
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 -3x+4[/tex]
And we want to evaluate it for x = 3a.
Substitute:
[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]
Square:
[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]
Simplify:
[tex]f(3a) = 18a^2-9a+4[/tex]
Hence, our answer is C.
For the function f(x)=3X+5/x+5 find f^1(x)
Answer:
When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.
The inverse is 5 / x - 8
You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?
Answer:
$613.45
Step-by-step explanation:
Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
is it a,b,c or d?
Answer:
5
5 1/2
6 1/2
Step-by-step explanation:
Let n=1
a1 = 5+(1-1)*(1/6)
a1 = 5
Let n=4
a4 = 5+(4-1)*(1/6)
a4 = 5 +3(1/6)
a4 = 5+1/2 = 5 1/2
Let n=10
a10 = 5+(10-1)*(1/6)
a10 = 5 +9(1/6)
a4 = 5+3/2 = 5 + 1 1/2 = 6 1/2
Please explain on how to do this.
Answer:
2.8 * 1.4 = 3.92.
Hope this answer helps you. Thank you.
Answer:
hope it helps you.........
Which of the choices below could be a scientific problem?
a. Tomato plants require 8 hours of direct sunlight to thrive.
b. Plant a tomato seedling 6 inches deep a large pot.
C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.
d. How much sunlight do tomato plants need to thrive?
Answer:
D. How much sunlight do tomato plants need to thrive?
Step-by-step explanation:
PLS HELP ASAP!!!!!!!!!!!!!!!!
91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?
Answer:
10 hours
Step-by-step explanation:
45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min
90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages
90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300
? minutes = 90*300/45 = 600 minutes
to read 300-page book will take 600 minutes = 10 hours
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Answer:
Step-by-step explanation:
The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:
[tex]3=x\sqrt{2}[/tex] so
[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]
Juanita is making 30 sundaes with mint, chocolate, and vanilla ice cream. 1\3 of the sundaes are mint ice cream and 1\2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
10
Step-by-step explanation:
→ Calculate how many are mint ice cream's
[tex]\frac{1}{3}[/tex] × [tex]30[/tex] = 10
→ Calculate how many are chocolate
30 - 10 = 20
[tex]\frac{1}{2}[/tex] × 20 = 10
→ Now find the vanilla
30 - ( 10 + 10 ) = 10
simplify: 3(x-2)+2(2x+5)=35
Answer:
x=31/7
Step-by-step explanation:
3x-6+4x+10=35
7x=31
x=31/7 (The task was to find the x, not simplify)
Answer:
[tex]x=\frac{31}{7}[/tex]
Step-by-step explanation:
One is given the following equation,
[tex]3(x-2)+2(2x+5)=35[/tex]
Distribute, multiply every term inside the parenthesis by the term outside of it.
[tex]3(x-2)+2(2x+5)=35[/tex]
[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]
Simplify,
[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]
[tex]3x-6+4x+10=35[/tex]
[tex]7x+4=35[/tex]
Inverse operations,
[tex]7x+4=35[/tex]
[tex]7x=31[/tex]
[tex]x=\frac{31}{7}[/tex]
