Answer: B) f(n) = 30 - 8(n - 1)
Step-by-step explanation:
Explicit formula is of the form: [tex]a_n=a_1+d(n-1)[/tex] where
[tex]a_1[/tex] is the first term d is the difference between consecutive termsGiven: f(1) = 30 --> this represents the first term [tex]a_1[/tex] = 30
f(n - 1) - 8 --> this means the previous term minus 8 thus d = -8
[tex]a_n[/tex] = 30 + (-8)(n - 1)
= 30 - 8(n - 1)
Answer:
B. f(n) = 30 – 8(n – 1)
Step-by-step explanation:
got it right on test
1) The smallest perfect square number 1 point
divisible by 5, 6 and 27 is
Answer:
[tex]8100[/tex], which is the square of [tex]90[/tex].
Step-by-step explanation:
Factor the three divisors into prime numbers:
[tex]5[/tex] is a prime number itself.[tex]6 = 2\times 3[/tex].[tex]27 = 3^3[/tex].Any number divisible by these three divisors should include the following factors:
[tex]2[/tex],[tex]3^3[/tex], and [tex]5[/tex].Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)
[tex]2[/tex] becomes [tex]2^2[/tex] (add [tex]1[/tex] to the initial power of [tex]1[/tex] to obtain [tex]2[/tex].)[tex]3^3[/tex] becomes [tex]3^4[/tex].[tex]5[/tex] becomes [tex]5^2[/tex].The product of these three factors would be:
[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].
Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,
[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].
Answer:
8100 is the smallest perfect square divisible by 5,6 and 27
Step-by-step explanation:
5 = 5 * 1
6 = 2 * 3
27 = 3 * 3 *3
5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5
Factors of perfect square will be perfect squares
To make this a perfect, multiply by 5 * 2
Perfect square = 5 * 6 * 27 * 5 * 2
= 8100
32 as a single power of 2
Answer:
1024
Step-by-step explanation:
Answer:
1024
Step-by-step explanation:
A manufacturer of bulbs for movie projectors finds that the lives of the bulbs are normally distributed with a mean of 61 hours and a standard deviation of 6.3 hours. The manufacturer will guarantee the bulbs so that only 3% will be replaced because of failure before the guaranteed number of hours. For how many hours should the bulbs be guaranteed?
Answer:
49.2 hours
Step-by-step explanation:
Use a chart or calculator to find the z-score associated with the probability.
P(Z < z) = 0.03
z = -1.88
Now find the x value.
z = (x − μ) / σ
-1.88 = (x − 61) / 6.3
x = 49.2
at home any hours of service do repair service s cost the same which equation could you use to solve
Answer:
how many hours times repair service
Step-by-step explanation:
what is the difference between (5+3)x3 (5+3)x9
Answer:
If you were asking the difference as in subtraction then the answer is 18.
Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Passing through (4,8) and (7,14)
Type the point-slope form of the equation of the line
Answer:
Step-by-step explanation:
(14 - 8)/(7 - 4)= 6/3= 2
y - 8 = 2(x - 14)
y - 8 = 2x - 28
y = 2x - 20
Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?
I know this is easy math but I couldn't understand a thing my math teacher was talking about when we learned this.
In 5 hours Arian can make 14 Bracelets.
What is unitary method ?Unitary method is first obtaining the value of a single unit and then deriving any given unit given.
According to the given question Arian is making bracelets.
It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.
∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is
= 7/20 hours OR (7/20)×60 minutes = 21 minutes.
5 hours is = 5×60 = 300 minutes.
So, in 21 minutes he makes 1 bracelet.
In 300 minutes he can make (300/21) Bracelets which is
= 14.28 Bracelets.
learn more unitary method here :
https://brainly.com/question/21648365
#SPJ2
is 1 (b+6) equivalent to (b+6)
Answer:
Yes.
Step-by-step explanation:
Step 1: Write out expressions
1(b + 6) = b + 6
Step 2: Distribute 1
b + 6 = b + 6
The quotient of 5 and a number, k ? Write the algebraic expression
Answer:
[tex] \frac{5}{k} [/tex]
Step-by-step explanation:
Quotient refers to the result we get when we divide a number by another number. In more precise words, the dividend (numerator) over the divisor (numerator) equals the quotient.
In this case, 5 is the dividend, k is the divisor, which is representing an unknown number.
We cannot get an actual number, but we can use algebraic expression to express the quotient as follows:
Quotient of 5 and k = [tex] \frac{5}{k} [/tex]
On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5
Answer:
On the number line integers from 16 to 24 is the answer.
Answer:
Step-by-step explanation:
can I get an answer please
Answer:
the first one.
I have a load of 5"- 8" cobblestones at $140/yd. and it will cover 65 square feet of ground. How many pounds am I getting and how much per pound am I paying?
Answer: I just miss my dog ;(
Step-by-step explanation:
Please help and do these asap no fake stuff please. Click on the paperclip to see problems
sorry, it's too blurry for me
Answer:
20 because that what I think
I need to change the subject to x
Answer:
h) (x+4t²)/4= 3V
x+4t²= 4*3V
x+4t²=12V
x=12V-4t²
MN=√(3x-2)
(MN)²=3x-2
3x-2=(MN)²
3x=(MN)²+2
x= [(MN)²+2]/3
which is the perimeter of the triangle below?
ft
aft
foot
foot
O
1 foot
O 11
11
feet
Answer:
ft is premeter of triangle
can ratios be thought of as fractions?
At a grocery store Daniel wants to buy 3 1/5 of ham. What decimal will be shown on a digital scale show? Write 3 1/5 as a fraction and then divide.
Answer:
3.2
Step-by-step explanation:
Let A (10, 11, 12, 13 and B (a, b, c, d) Let g be a function from A to B defined by f(10, a), (11,a), (12, b), (13,b)) What is the inverse image of d?
Answer:
d does not have an inverse image
Step-by-step explanation:
From the question we are told that
The first set is A (10, 11, 12, 13 )
The second set is B (a, b, c, d)
The function that from A to B is f(10, a), (11,a), (12, b), (13,b))
Generally for a function defined by (x,y), y is the image of x while x is the inverse image of y
Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function
hence d does not have an inverse image
solve 9 = 4 + x ( show your work )
Answer:
x = 5
Step-by-step explanation:
1. 9 = 4 + x
2. 9 - 4 = 4 + x - 4
3. 5 = x
The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?
Answer: 150 pages
Step-by-step explanation:
I usually just multiply the number by the percentage and it works out just fine :)
What does it mean for a function to have a root?
Answer:
Step-by-step explanation:
A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .
Answer:
A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .
Please answer ASAP, I will give you brainilest and 5 stars if you get it right and do it quick!!
Answer:
a) 3.2 cm
b) 6.25 km
Help!!to show your work!!
I need help on 13&14
Answer:
[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]
Simplifies to:
[tex]36i^2 + 3[/tex]
[tex]= 39[/tex]
distribute the money £423 in the ratio 1 : 2 : 3
Answer:
see below
Step-by-step explanation:
will make short and simple
$423 in the ratio 1 : 2 : 3
420 / 6 = 70
1 * 70 = 70
2 * 70 = 140
3 * 70 = 210
what is nearest tenth of 0.273
Answer:
0.3
To round 0.273 to the nearest tenth consider the hundredths’ value of 0.273, which is 7 and equal or more than 5. Therefore, the tenths value of 0.273 increases by 1 to 3.
0.273 rounded to the nearest tenth = 0.3
Arturo’s gym membership costs $100 per year plus $20 per month. Which equation represents this relationship?
Answer:
$100+$20=$120
Find all values of k such that the graph of the inequality (x-2)(x-5)(x-k) >= 0 consists of a single interval on the number line.
(x - 2)(x - 5)(x - k) >= 0
Let's set each term equal to 0
x - 2= 0
Add 2 to both sides
x = 2.
x - 5 = 0
Add 5 to both sides
x = 5
x - k = 0
Add k to both sides
x = k
Since x = 2 and 5, k = 2, 5
Let's plug our numbers into the inequality.
(2 - 2)(2 - 5)(2 - 2) >= 0
(0)(-3)(0) >= 0
0>=0
(5 - 2)(5 - 5)(5 - 5) >= 0
(3)(0)(0) >= 0
0 >= 0
This proves that 2 and 5 are equal to k
Find an equation for the line with the given properties.
Parallel to the line 2x - y = - 4; containing the point (0,0)
y = 2x (Type your answer in slope-intercept form.)
Answer:
y = 2x
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Find slope m
2x - y = -4
-y = -2x - 4
y = 2x + 4
Since the 2 lines are parallel, they have the same slope.
Step 2: Define variables
Slope m = 2
Origin (x-int and y-int) (0, 0)
Step 3: Write parallel linear equation
y = 2x + 0
y = 2x
what is the square root of 2/8 as a decimal