Step-by-step explanation:
a=1/2, r=9/8÷3/4
=3/2
Tn=ar^n
Answer:
[tex]x_{0} = \frac{1}{2}[/tex]
[tex]x_{n} = x_{n-1} *(\frac{3}{2} )[/tex]
Step-by-step explanation:
The sum of 6 and -10, decreased by 4.
Numerical expression
Answer:
6+10×4=40+6=46 number
PLEASE HELP
Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b. 6^-2
Answer:
1/36
Step-by-step explanation:
6^-2
~Use negative exponent rule [ a^-b = 1/a^b ]
1/6^2
1/36
Best of Luck!
Answer:
[tex]\huge\boxed{\sf \frac{1}{36}}[/tex]
Step-by-step explanation:
[tex]\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!PLEASE HELP 25points!
Answer:
2×10⁵ is the same as 200,000 and 3×10⁴ is the same as 30000 so this simply means you have to multiply the 2 figures and give the answer in standard form
200,000×30000
6000000000
which will be written as
6×10⁹
I hope this helps
Which interval notation represents the set of all numbers from -3 to 0, inclusive?
Answer:
{ - 3, 0 ]
Step-by-step explanation:
parenthesis ( ) is used when the interval does not include the end values
brackets [ ] are used when the interval includes the end values
The end values here are - 3 and 0 so brackets are used, that is
[ - 3, 0 ]
d = 6 and e = 2
4e + d + 12 - 2e
Answer:22
Step-by-step explanation:
4*(2) + (6) +12 - 2*(2)=
8 +6 +12 -4=
14 +8= 22
Answer: 22
Step-by-step explanation:
Graph each set of integers on a number line
(-5, -1, 10, -9
Answer:
65÷5(18-5)
=65÷5×13
=13×13
=169
find the coordinates for the center of a circle with a diameter having endpoints at (0,2) and (-9,-2)
Answer:
(x−2)2+(y+1)2=100
Explanation:
the standard form of the equation of a circle is
2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2 where ( a , b ) are the coordinates of the center and r is the radius to find the center we require the midpoint of the 2 given points center = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ] center = ( 2 , − 1 ) the radius is the distance from the center to either of the 2 given points calculate the radius using the distance formula ∙ d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2 let ( x 1 , y 1) = ( 2 , -1 ) and ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ← equation of circle
What fraction does point A represent on the number line?
0 A
Beverly just filled up her gas tank, which has enough gas to last her, at her usual driving rate, about 45 days. However, Beverly becomes extra busy and begins driving 66.6% more than she usually does. How many days does the tank of gas last Beverly at her new rate?
Answer:
27 Days
Step-by-step explanation
The rate of her gas consumption is inverse to the time she is driving. This means that if her time spent driving is increased by 66.66% (5/3 of the original rate), then it would inverse to create her decreased gas consumption by 3/5.
3/5 of 45 = 27
27 days
hope this helps :)
PLS HELP DUE TODAY
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.
Here we go !!
Since it's a regular pentagon, all it's sides are equal so let's solve for x
[tex] \hookrightarrow \: 3(x - 1) = 5x - 6[/tex]
[tex] \hookrightarrow \: 3x - 3 = 5x - 6[/tex]
[tex] \hookrightarrow \: 3x - 5x = - 6 + 3[/tex]
[tex] \hookrightarrow \: - 2x = - 3[/tex]
[tex] \hookrightarrow \: x = \dfrac{ - 3}{ - 2} [/tex]
[tex] \boxed{\boxed{x = \dfrac{3}{2} }}[/tex]
now let's find the measure of each side, i.e
[tex] \hookrightarrow \: 5x - 6[/tex]
[tex] \hookrightarrow \: (5 \times \dfrac{3}{2}) - 6[/tex]
[tex] \hookrightarrow \: \dfrac{15}{2} - 6[/tex]
[tex] \hookrightarrow \: 7.5 - 6[/tex]
[tex] \mathrm{\hookrightarrow \: 1.5 \: units}[/tex]
perimeter = 5 × side length ( for a regular pentagon )
[tex] \hookrightarrow \: 1.5 \times 5[/tex]
[tex] \boxed{ \boxed{ \: \: \: \: \: \: \: \: 7.5 \: \: units \: \: \: \: \: \: \: }}[/tex]
5x + 1/3(3x + 6) >14
Answer:
[tex]5x + \frac{1}{3} (3x + 6) > 14 \\ lcm = 3 \\ \\ (3 \times 5x) + 3 \times \frac{1}{3} (3x + 6) > 14 \times 3 \\ \\ 15x + 3x + 6 > 42 \\ 18x + 6 > 42 \\ 18x > 42 - 6 \\ 18x > 36 \\ x > 2[/tex]
Answer is below
x > 2
How I did it
What I first did was divide 3x + 6 by 3 because when you multiply by 1/3 it's basically just dividing by 3.
5x+x+2>14
Simplify
6x+2>14
Subtract 2 on both sides
6x>12
Since you want to get x by itself you divide both sides by 6, singling out x
x>2
Hope this helps!
A computer and printer cost a total of 1152. The cost of the computer is three times the cost of the printer. Find the cost of each item.
Answer:
The cost of the printer is x=288 and cost of computer is 3x=864
Step-by-step explanation:
Let the cost of the printer be x and cost of computer be 3x
ATQ, x+3x=1152, x=288.
The cost of the printer is x=288 and cost of computer is 3x=864
sin F = bc a/b c/a a/c
[tex]\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sinF=\dfrac{GE}{FG}[/tex]
[tex]\\ \rm\Rrightarrow sinF=\dfrac{a}{c}[/tex]
Step-by-step explanation:
[tex]thank \: you[/tex]
The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
(≧▽≦)( ◜‿◝ )♡
this is symbol for no spamming so don't spam
Each term has a common factor of x + y + z, so
a (x + y + z) + b (x + y + z) + c (x + y + z) = (a + b + c) (x + y + z)
1. Write each of these products as a quadratic
expression of the form x2+bx+c. That is, write
each product in standard form.
a. (x+3)(x + 5)
b. (x – 4)(x + 7)
C. (x-6)(x - 2)
Step-by-step explanation:
maybe I am wrong sorry for that but try to understand it
have a great day
HELP ME PLS
Write the ratio
3/8 with a numerator of 9.
Answer:
24
Step-by-step explanation:
3 9
8
9 times 8
divided by 3 = denominator
9x8÷3=24
Answer:
[tex]\frac{9}{24}[/tex]
Step-by-step explanation:
Skills needed: Identify numerator, Multiplying to change fraction
1) First, we need to know what the numerator is. The numerator is the upper number of the fraction, which is separated by the fraction bar FROM the denominator (the bottom part of the fraction).
In this fraction, 3 would be the numerator as it is the top number.2) What we need to do here is rewrite the fraction [tex]\frac{3}{8}[/tex] so that the numerator is 9. Let's look at it in another way:
[tex]\frac{3}{8} * \frac{x}{x} = \frac{9}{z}[/tex] (The reason it is [tex]\frac{x}{x}[/tex] is because we want to multiply the original fraction/ratio by 1 so that we do not change it).
3) Now we know that [tex]3 * x=9[/tex], and if we divide both sides by 3, we get:
[tex]x=3[/tex].
This means it would be:
[tex]\frac{3}{8} * \frac{3}{3} = \frac{9}{z}[/tex]
Now we need to find [tex]z[/tex]. [tex]z=8*3 = 24[/tex]. [tex]z=24[/tex].
The numerator of our fraction would be 9, and the denominator is 24, making our answer: [tex]\frac{9}{24}[/tex].
Hope you understood and have a nice day!! :D (If you have any questions, please comment, and I can try to help!)
cosA_1+sin1 + 1+sinA_cosA=2secA
Step-by-step explanation:
all steps are done in the picture
What is the y-intercept of the function f(x) = 2 • 3x?
A.
(0, 2)
B.
(0, 3)
C.
(0, 6)
D.
(2, 0)
Answer:
(0,2)
Step-by-step explanation:
Hi there!
[tex]f(x) = 2*3^x[/tex]
The y-intercept of any function occurs when x=0.
To find the y-intercept, solve for f(0):
[tex]f(0) = 2*3^0\\f(0) = 2*1\\f(0) = 2[/tex]
Therefore, the y-intercept is 2 and occurs at (0,2).
I hope this helps!
If zt ⋅ z5 = z15 , what is the value of t ?
Answer:
t = 10
Step-by-step explanation:
z^t ⋅ z^5 = z^15
We know that a^b*a^c = a^(b+c)
z^(t+5) = z^15
Since the bases are the same, the exponents are the same
t+5 = 15
t = 15-5
t = 10
cb-b; use b = - 3, c = - 1
Answer:
6Step-by-step explanation:
Let b= - 3, c= - 1cb - b = ?(-1)(-3) - (-3) = ?3 - (-3) = 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Which of these are rational or irrational?
Answer:
Step-by-step explanation:
6.4 rationalwe don't know. It might repeat at some point.-2 rationalsqrt(16) = +/-4 which is rational.sqrt(12) is irrational. There's no pattern12/5 is rational 2.4we don't know. If it repeats then it is rational. The way it looks now, there's no pattern, so call it irrational.7. Using the diagram below, find the length of segment 5G
3x+1
6%
X+6
t
S
А G
w
Answer:
[tex]\huge\boxed{\sf SG = 31}[/tex]
Step-by-step explanation:
Given:
SW = 3x + 1
WA = 6x
AG = x + 6
SW = AG
Required:
Length of SG = ?
Solution:
Given that:
SW = AG
3x + 1 = x + 6
Combining like terms
3x - x = 6 - 1
2x = 5
x = 5/2
x = 2.5
Now,
SG = SW + WA + AG
SG = 3x + 1 + 6x + x + 6
SG = 3x + 6x + x + 1 + 6
SG = 10x + 6
Put x = 2.5
SG = 10(2.5) + 6
SG = 25 + 6
SG = 31
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Help plz? Confusion :( mark brainiest if right
Answer:
The answer is C
Step-by-step explanation:
since the left side reads k times a, the only way to get a by itself is by dividing both sides by k
please do help - this is my TENTH TRY DOING THIS
Answer: Box A is the first 2
Box C is the 3 option
Step-by-step explanation:
17) There are 250 people at the mall and 148
have brown hair, approximately what percent
of the people have brown hair?
a) 20%
b) 60%
c) 70%
d) 100%
Gina answered 42 out of 50 items correctly on a math test. What percent of the
items were correct? (Hint: Set up a ratio: 42/50=?/100=__%. Cross-multiply and divide the product by 50.)
Answer:
84%
Step-by-step explanation:
you cross multiply 42/50 by 2 and then u get 84/100
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?
Answer:
Cheetah
Step-by-step explanation:
American Antelope's speed = 94980 meters per hour
= 59 miles per hour
The Cheetah is faster than the American Antelope
What is the point-slope form of the linear equation y= 4/3x +2?
Which is the circumference of the circle? (Use = 3.14)
A. 376.8 cm
B. 188.4 cm
c. 113.04 cm
D. 37.68 cm
E 18.84 cm
Answer:
D 37.64
Step-by-step explanation:
C=2πr
so 2✘3.14 ✘6
Find f (2b^2) for (x)=x^2-4x
Answer choice is
A. 4b^4 -8b^2
B. 2b^4-8b^2
C. -4b^2
D. 4b^2 - 8b^8
Answer:
A
Step-by-step explanation:
We are given the function:
[tex]f(x) = x^2 - 4x[/tex]
And we want to find:
[tex]\displaystyle f(2b^2)[/tex]
Substitute:
[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]
In conclusion, our answer is A.