Answer:
a(14)=469762048
Step-by-step explanation:
geometric sequence= a(n)=a*r^(n-1)
we have:
a=7
r=28/7=4
So:
a(14)=7*4^(14-1)
=7*4^(13)
=469762048
hope this helps
How do you find the equation of the circle given center at (1,-3), and radius 10?
Answer:
note: all the twos are to the power100=(x−1)2(y+3)
Step-by-step explanation:
Suppose the centre of the circle was at the origin (where the x axis crosses the y axis). Then the equation would be:
r2=x2+y2
The reason for this format is that the length of the radius (which is of fixed length) can be related to x and y by Pythagoras. However, the circle centre is not at the origin. It is at
(x,y)→(1,−3)
So we can mathematically make this work by 'theoretically' moving the actual centre to a new centre located at the origin.
Thus we would have:
r2=(x−1)2+(y−(−3))2
r2=(x−1)2+(y+3)2
But the radius is 10 so we have
(10)2=(x−1)2+(y+3)2
100=(x−1)2+(y+3
BRAINLIEST IF YOU HELP
Evaluate this expression: (6.4 × 10^3) ÷ (3.2 × 10^2)
Express your answer in scientific notation.
A. 2 × 10^1
B. 2 × 10^2
C. 2 × 10^5
D. 2 × 10^6
Put some coordinates on a graph and work it out pls worth 10pts
Answer: (-1,1)(1,1)(-2,-1)(2,-1)
Step-by-step explanation:
i need this ASAP!!!!
Simplify. (23)2
Enter your answer, in simplest form, in the boxes.
$$
Answer:
23/2 is already in the simplest form. It can be written as 11.5 in decimal form
Step-by-step explanation:
23 2 = 22 2 + 1 2 = 11 + 1 2 = 11 1 2
This fraction cannot be simplified any further because there is no common divisor for 1 and 2 other than 1
The simplified expression of (23)2 is 46
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
(23)2
Express as products
So, we have
(23)2 = (23) * 2
Evaluate the products of 23 and 2
(23)2 = 46
Hence, the solution is 46
Read more about expressions at
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Brenda’s brother earns $12 per hour at a store. The store offers him a 5% raise per hour. After the raise, how much will Brenda’s brother earn?
Answer:
12 * 0.05 = 0.6
He will make $12.06 per hour
The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points)
Answer:
They have the same side lengths/angles except one is smaller than the other
Step-by-step explanation:
the smaller one is a "mini" of the larger one. a exact copy
The dilation is solved and the scale factor of line is A'B' = 3AB
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the scale factor of the dilation be represented as k
Now , the scale factor k = 3
So , the ratio of the corresponding sides is given by
A'B' / AB = 3
Multiply by AB on both sides , we get
A'B' = 3AB
Hence , the dilation is simplified as A'B' = 3AB
To learn more about dilation click :
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PLS HELP ASAP THIS IS EASY
Look at the trapezoid shown below. Which transformation carries the trapezoid onto itself ?
A) a reflection across the line y = 0
B) a rotation of 180 ° about the point (- 1, 0)
C) a rotation of 180 ° about the origin
D) a reflection across the line x = - 1
Answer: D
Step-by-step explanation: a reflection across the line x=-1
What is the distance between (6,-3) and (6,-7)
Answer
4
Step-by-step explanation:
d²=(6-6)²+(-7+3)²
d²=16
[tex]\sqrt{16}[/tex]=4
Mikayla withdraws $20 on 4 different days during a week. Find the total change in her account balance after the withdrawals.
The total change in her account balance after the withdrawals is
Answer:
$80
Step-by-step explanation:
20 on 4 days. 20*4 or 80.
Hope this helps plz hit the crown :D
Which of the following systems of inequalities has point D as a solution?
Answer:
The answer is A
Step-by-step explanation:
Which graph represents a proportional relationship
Answer:
First One.
The first one is going up and the second one is going down. (Really don't know how to explain this I just looked at it and saw...)
Mr. Richards a teacher at crosstown Elementary school, plans to take 25 students on a school trip. Here are some more facts about the trip: Only one bus is needed for the field trip, the bus company charges $6.50 per mile. The school will pay $300 for the trip, teachers go free, and each student pays the same amount. You will find the cost of this field trip. What is the final cost for all students to attend this field trip?
Incomplete question. The remaining part of the question reads;
Here are the places they could visit:
Big City Zoo> 36 miles from Crosstown; Entrance Fee: $2.5Prison Museum> 30 miles from Crosstown; Entrance Fee: $6.75Space Science> 10 miles from Crossword; Entrance Fee: $11.25I calculated the cost of going to 'Big City Zoo and Space Science'.
Answer:
Big City Zoo = $3.86
Space science = $1.35
Step-by-step explanation:
For Big City Zoo:
Entrance fee: $2.5 x 25 = $62.5
Charges per mile: $6.5 x 36 = $234
Total cost of trip= $296.5
Final cost for all students to attend this field trip = $296.5 - $200 = $96.5. Meaning each student pays $3.86 (or $96.5/25 students).
For Space Science:
Entrance fee: $6.75 x 25 = $168.75
Charges per mile: $6.5 x 10 = $65
Total cost of trip= $233.75.
Final cost for all students to attend this field trip = $233.75 - $200 = $33.75. Meaning each student pays $1.35 (or $33.75/25 students).
Question 1
1. You must build a ramp with a rise of 15 inches to roll
some lab equipment into your school. If you follow the
ADA specifications, what is the horizontal length (the "run")
of the shortest ramp you can build? What is the ramp's
total length?
Michael has finished 25% of an art project that has taken him a total of 4 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
16 hours of total work time, 12 hours of work not including the original 4 hours
Step-by-step explanation:
25 percent is 1/4
To get to a whole, you need to do 4*4.
That is how many total hours of work time, -4 (the pre-existing 4) you get 12 of added time on top of the 4
answer quickly !!! Pls
Answer:
(6 × 5) + (6 × 3) = 6 × (5 + 3)
Step-by-step explanation:
Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.
Which expression is a factor of 21 x2 + 13 x-20
Answer:
(7x−5)(3x+4)
Step-by-step explanation:
I think this is the answer
Answer:
(7x−5)(3x+4)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant -21 • 20 = -420
Step-2 : Find two factors of -420 whose sum equals the coefficient of the middle term, which is 13 .
-420 + 1 = -419
-210 + 2 = -208
-140 + 3 = -137
-105 + 4 = -101
-84 + 5 = -79
-70 + 6 = -64
-60 + 7 = -53
-42 + 10 = -32
-35 + 12 = -23
-30 + 14 = -16
-28 + 15 = -13
-21 + 20 = -1
-20 + 21 = 1
-15 + 28 = 13 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 28
-21x2 - 15x + 28x + 20
Step-4 : Add up the first 2 terms, pulling out like factors :
-3x • (7x+5)
Add up the last 2 terms, pulling out common factors :
4 • (7x+5)
Step-5 : Add up the four terms of step 4 :
(-3x+4) • (7x+5)
t/2 = 9? i need help
Answer:
18/2 =9
Step-by-step explanation:
What is the image point of (6,-4)(6,−4) after a translation left 4 units and down 5 units?
Answer:
(2,-9)
Step-by-step explanation:
6-4 = 2
-4-5 =9
so The answer is (2,-9)
1 Find the area of the circle below: 4 cm
Answer:
[tex]A = 16\pi[/tex]cm
Step-by-step explanation:
Area of a circle equation:
[tex]A = \pi r^2[/tex]
Plug in r = 4cm and solve:
[tex]A = 16\pi[/tex]cm
Answer:
ok so if its the radius:
50.27cm
if its the diameter:
12.57cm
Step-by-step explanation:
An arborist examined trees in an orchard to see if they were infected with a virus. 21 out of 28 trees were infected with the virus. What percentage of the trees were infected?
Answer:
75%
Step-by-step explanation:
21/28 is the same as 75%
An above ground pool with 17,100 gallons of water was draining. If the pool drained at a rate of 1,800 gallons per hour, how many hours has it
been draining if there was 6,300 gallons left?
Answer:
6 Hours
Step-by-step explanation:
17,100 - 6,300= 10,800
10,800/1,800 = 6
A garden table and a bench cost $804 combined. The garden table costs $54 more than the bench. What is the cost of the bench?
Answer:
its 750
Step-by-step explanation:
because its 804 combined and 804-54=750 and 750+54=804
750 I agree with the other person
James is making a math final for his students. He already has 22 questions, and can make 12 more for every hour. Which is an equation that represents how many questions (q) he has for every hour (h)?
a.q(h) = 12h
b.q(h) = 22h + 12
c. q(h) = 12h + 22
d.q(h) = 12h-22
58°
(4x+10)°
Find the value of the variable in the isosceles trapezoid.
2. The measure of an angle is 114°. What is the measure of
its supplement?
Answer:
66
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf 66\°}[/tex]
Step-by-step explanation:
Supplementary angles add up to 180°.
So,
The measure of the angle of supplement of 114° is:
=> 180° - 114° = 66°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807An unusually wet spring has caused the size of a mosquito population in some city to increase by 8% each day. If an estimated 180,000 mosquitoes are in the city on May , find how many mosquitoes will inhabit the city on May . Use y= 180,000 where x is number of days since May .
Answer:
The number of mosquitoes that will inhabit the city on May 25 is 4,471,200.
Step-by-step explanation:
Note: This question is not complete as some important figures and points are omitted. The complete question is therefore provided before answering the question as follows:
An unusually wet spring has caused the size of a mosquito population in some city to increase by 8% each day. If an estimated 180,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the city on May 25. Use y= 180,000(1.08)x where x is number of days since May 2.
The explanation to the answer is now given as follows:
Given;
y = 180,000(1.08)x = 180,000 * 1.08 * x .................... (1)
Where;
y = Number of mosquitoes that will inhabit the city on May 25 = ?
x = Number of days since May 2 = 25 - 2 = 23
Substituting for x = 23 into equation (1), we have:
y = 180,000 * 1.08 * 23
y = 4,471,200
Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.
Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K’. Which rule could have been used to produce K’ from K?
Answer: B
Step-by-step explanation:
Answer:
K(x,y) →K'(-x, y-7) (B)
Step-by-step explanation:
plzzz helpppp!!!!!
How can you identify the solution to a system of inequalities?
Answer:
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble
Answer:
C) choosing a blue, green or yellow marble.
Step-by-step explanation:
The Complement of choosing a red marble means choosing any other marble that isn't red.
From the question , it was said that there were a blue , green, yellow and red marble.
So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.
Answer:
c
Step-by-step explanation:
Find the sum of the first 47 terms of the following series, to the nearest integer.
13, 18, 23, ...
Answer:
The sum of the first 47 terms of the given series = 6016
Step-by-step explanation:
Given the sequence
13, 18, 23, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]18-13=5,\:\quad \:23-18=5[/tex]
As the difference between all the adjacent terms is the same.
so
[tex]d=5[/tex]
[tex]a_1=13[/tex]
Arithmetic sequence sum formula
[tex]n\left(a_1+\frac{d\left(n-1\right)}{2}\right)[/tex]
Put the values
[tex]d=5[/tex]
[tex]a_1=13[/tex]
[tex]n=47[/tex]
[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]
[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]
[tex]=47\left(13+115\right)[/tex]
[tex]=47\cdot \:128[/tex]
[tex]=6016[/tex]
Thus, the sum of the first 47 terms of the given series = 6016