Answer:
an = 30000 * 2^(n-1)
Step-by-step explanation:
The explicit rule of Mr. Blue 's salary
is an = 30000 * 2^(n-1)
How to determine the explicit
How to determine the explicitformula?
Mr. Blue's salary is a geometric sequence
with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1* r^(n-1)
This gives
an = 30000 * 2^(n-1)
it takes lisa 2/3 of an hour to to walk from her home to her college at a rate of 6km/h
How far apart are her home and college?
Which is the completely factored form of 4x2 28x 49? (x 7)(4x 7) 4(x 7)(x 7) (2x 7)(2x 7) 2(x 7)(x 7)
The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)
How to find the factors of a quadratic expression?If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, the given quadratic expression is:
[tex]4x^2 + 28x + 49[/tex]
So we've to find two numbers such that:
Their sum = b = 28
Their product = [tex]ac = 4\times 49 = 196[/tex]
We can see that 196 is square of 14, and that 14 added twice forms 28, thus:
14 + 14 = 28
14×14 = 196
Writing b = 28 as sum of 14 twice, we get:
[tex]4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 = 2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49 = (2x+7)(2x+7)[/tex]
Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)
Learn more about factorization of quadratic expression here:
https://brainly.com/question/26675692
WHOEVER RESPONDS FIRST WILL BE MARKED BEST
A bag contains 4 green marbles, 4 red marbles, and 4 blue marbles. You pick a marble without looking. Find the probability of NOT drawing a red marble
Answer:
2 out of 3
ads asdf sad f ads f sad
A small bar of gold measures 20 mm by 250 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounces. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.
Answer: v = 40mm * 25mm * 2mm = 2000 mm^3 so, the weight is 2000 mm^3 * .0005oz/1mm^3 = 1oz
Step-by-step explanation:
What are the sources of a developing country's primary income?
A. Natural resources and primary product export
B. Human resource and primary product export
C. Human resource and manufactured product export
its lang allam ko. human is rescures till hitman
!!20 points and Brainliest!!!
What should be done to x^2 - 12x to create a perfect square?
A) add 36
B)subtract 6
C)add 6
D)subtract 36
Answer:
A.) add 36To find the last term, divide the coefficient of the middle term by 2 then raise to the power of 2,that will be :
[tex]( \frac{ - 12}{2} )^{2} = { - 6}^{2} = 36 [/tex]
Answer:
add 36
Step-by-step explanation:
Based only on the information given in the diagram, it is guaranteed that ABC ~ XYZ.
Check the picture below.
The quotient of 8.4 times 10 Superscript 9 and a number n results in 5.6 times 10 Superscript 27. What is the value of n?
1.5 times 10 Superscript negative 18
1.5 times 10 Superscript negative 3
1.5 times 10 Superscript 3
1.5 times 10 Superscript 18
The value of the number n as described in the task content which involves quotient is; 1.5 times 10 Superscript negative 18.
What is the value of n?It follows from the task content interpretation that;
(8.4*10^9)/n = (5.6*10^27)On this note, it follows that;
n = (8.4*10^9)/(5.6*10^27)On this note, upon division, the value of n is;
n = 1.5 times 10 Superscript negative 18Read more on quotients;
https://brainly.com/question/11418015
Answer:
It's A
Step-by-step explanation:
Find the sum of the angle measures in a 10-sided polygon
Answer:
sum of interior angles is 1440
Step-by-step explanation:
sum=(n-2)180
=(10-2)180
=8*180=1440
Jacks bedroom is 14 feet long and 11 feet wide. Annies bedroom is square, with each side measuring 12 feet. Which statement is true?
A. Annie's bedroom is 10 square feet longer than Jack's bedroom
B. Jack's bedroom is 2 square feet longer than Annie's bedroom
C. Annie's bedroom is 2 square feet longer than Jacks bedroom
D. Jack's bedroom is 10 square feet longer than Annie's bedroom
Answer:
i guess its A.
Step-by-step explanation:
I dont really know
I need help asap please help
Answer:
x=23 degrees
Step-by-step explanation:
(the box in the corner is 90 degrees)
180 the 3 sides on the triangle add up to be 180
180=90+66+x step1: combine like terms:add 90+66 together
180=156+x step2: -156 on both sides
23=x
x=23
13. If ZA and ZB are supplementary angles and ZA
is three times as large as ZB, find the measures
of ZA and ZB.
Answer:
A. ZA+ZB =180
B. ZA is 135 and ZB is 45
Step-by-step explanation:
Step-by-step explanation:since ZA and ZB are supplementary
ZA+Zb =180°
But ZA=3ZB
∴ 3ZB+ZB=180° ⇒4ZB=180°
∴ZB =45
The following are the temperatures in °C for the first 10 days in January:
3.8
,
8.7
,
−
1.5
,
−
8.8
,
0.8
,
−
9.4
,
−
9.2
,
−
5.4
,
−
0.3
,
9.7
Calculate the range.
Give your answer as a decimal.
Answer:
the range is 9.4
Step-by-step explanation:
the range is the highest minus the lowest temperature
range=9.7-0.3
=9.4
hope this helps
Can someone please help me? :(
Answer:
Question 1 is statistical.
Question 2 is not statistical
Statistical means there will most likely be different answers, especially when it is being asked to several people. If it is a certain number for the answer it is considered not statistical.
Drag the tiles to the correct boxes to complete the pairs.
Match the questions with their answers.
Divide the volume of the larger cube by the volume of the smaller cube.
1. (3/7 x 3/7 x 1/7) / (1/7)^3 = 9
Answer: 9
2. (2/6)^3 / (1/6)^2 = 8
Answer: 8
3. (1/3 x 2/3 x 2/3) / (1/6)^3 = 32
Answer: 32
4. (3/7)^3 / (1/7)^3 = 27
Answer: 27
102 chairs at 6 tables. Find the unit rate
A. 27 chairs/table
B. 7 chairs/table
C. 17 chairs/table
Answer:
C. 17 chairs per table
Step-by-step explanation:
102 (chairs) divided by 6 (tables) = 17 (chairs per table)
Answer:
C
Step-by-step explanation:
You could do 102 divided by 6
Which 102/6 would be 17. So that means there has to be 17 chairs per table
Which numbers do I need to multiply to find 8 times 56?
Step-by-step explanation:
Do you mean 8 times what is 56?
8×7 is 56
Hi, I think the domain is 5 am I right?
A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 3. 14 for pi
Answer:
87.92
In this case we're trying to find circumference
Formula: c = pi×d
The problem says to use 3.14 for pi
c = 3.14 × 28 = 87.92
help! which expression is equivalent to 14x + 35 - 21 y
Answer:
7(2x + 5 - 3y)
Step-by-step explanation:
Looking at the Factors below the question, what do you notice?
I notice that 14, 35 and 21 all have a GCF of 7
With this, we can now start factoring, but before we start, keep in mind that we need to find terms that when multiplied with 7 give us 14x, 35, and -21y.
Be careful with the signs ( + and -) when factoring!14x + 35 - 21y
7(2x + 5 - 3y)
Check you answer to make sure if results in our original expression:
7(2x + 5 - 3y) <== distribute seven
7(2x) + 7(5) + 7(-3y)
14x + 35 - 21y
Therefore, we have correctly factored the expression, and the correct answer is 7(2x + 5 - 3y)
Hope this helps!
What is the multiplication problem that means the same thing as the division problem 1/9 ÷ 12
Answer:
12 divided by 1/9 is 1/108. In multiplication, its 1/108 * 12
Step-by-step explanation:
Find the surface area of the cylinder. Round your answer to the nearest tenth.
6 ft
7 ft
Answer:
490.1 (If the radius is 6ft and height is 7ft)
571.8 (If the radius is 7ft and height is 6ft)
Step-by-step explanation:
A=2πrh+2πr2
Plug in the value for the radius and height. Then solve.
Find x.
Do not round your answer.
8 cm
4 cm
Х
X = [?] cm
Answer:
2
Step-by-step explanation:
If 8cm divided by 4cm = 2cm
please help me, thank you if you do
Step-by-step explanation:
q1) if aₙ=-11+7n, then for n=5
a₅=-11+7*5=24.
q2) if aₙ=65-100n, then for n=39
a₃₉=65-100*39= -3835.
A bicycle wheel travels 321 in for each revolution. What is the radius of the wheel
Answer:
51.1 ≈ r
Step-by-step explanation:
"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.
C = 2· π· r
What is the radius of the wheel ?
321 = 2· π· r, divide both sides of the equation by 2 π
(321/2·π) = r , use calculator, solve and round the answer
51.1 ≈ r
PLEASE PLEASE HELP ME PLEASE
Answer:
you
because if your friend made a 3.3 then you make a 7 then that means your more consistant
Step-by-step explanation:
hope this helped
Q. Find the area 41.5in2 430in2 215in2 1.5in2
Answer:
430 in^2
Step-by-step explanation:
Area of parallelogram = base * height = 20 * 21.5 = 430 in^2
this is from a test that is 30 days overdue, ive triend asking friends and parents but they dont know :((( help pleasee
Answer:
LOL I ha te when that happens. I got you, I had the same issue
Step-by-step explanation:
Your answer is 44°
Your work
Type this:
27=98-x/2
54=98-x
x=44
Find the area (no explanation needed)
Area of bottom rectangle:-
2(8)16cm²Area of rectangle above it:-
6(2)12cm²Area of rectangle above it
11(2)22cm²Area of triangle:-
1/2(11)(6)11(3)33cm²Total:-
12+16+22+3383cm²what is the distance formula?
Answer:
Distance formula. The formula for distance, if you know time (duration) and the average speed, is: d = v x t. where v is the velocity (average speed), t is the time and d is distance, so you can read it as Distance = Speed x Time. The result will depend on the unit of the speed metric, for example if speed is given in mph,
Step-by-step explanation:
A (m 1 ,n 1) and B (m 2 ,n 2) are the coordinates of the two given points in the coordinate plane.
The distance between the two points can be calculated using the distance formula, d = √ (m2 - m1)2 + (n2 - n1)2
Finally, express the given solution in proper units.