Answer:
[tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]
Therefore the formula:
[tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]
Each quadrilateral below is a parallelogram . find the missing measures .
Answer:
AD = 8
DC = 15
m∠A = 112°
m∠B = 68°
m∠C = °
Step-by-step explanation:
If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.
To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.
To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.
To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.
180 - 68 = 112.
To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.
And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 140 nautical miles?
25,900 km
185 km
76 km
259 km
Answer:
259 km
Step-by-step explanation:
Butterfly method 100/185=140/???
185*140=25900
divide by 100
=295
When given a word problem, what should you always do to better visualize the problem?
Step-by-step explanation:
1.Read the Entire Word Problem.
2.Think About the Word Problem.
3.Write on the Word Problem.
4.Draw a Simple Picture and Label It.
5.Estimate the Answer Before Solving.
6.Check Your Work When Done.
7.Practice Word Problems Often.
according to the graph, what is the approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet?
Answer: the answer is 0.125 foot per square foot
Step-by-step explanation:
10. Barbara puts $22 a week for 30 weeks in her savings account at the bank.
If she receives $4 interest for every $100 saved, how much money will
Barbara have after the 30 weeks?
$684
$660
B.
$636
$404
can someone help me with the working out please its due Tomorrow
No links please
1.) 9(p+q) + 3(p+q)
2.) 7p-q) + 4(p-q)
3.) 6(p+ q) - 4(p-q)
4.) 8(7x + 3y) + 4(5x + 2y)
5.) 9(5x + 3y) - 5(4x + 7y)
6.) 9(7x + 4y) - 8(3x + 7y)
Question 4 please help as fast as you can
Answer:
-4y+1
Step-by-step explanation:
One angle of a triangle measures 95° the other two angles are in a ratio of 7:10 what are the measures of those two angles
Answer:
35 degrees and 50 degrees
Step-by-step explanation:
The sum of all the angles in a triangle must be 180 degrees. So 180 - 95 = 85 leftover for the other two angles. Since we have a ratio of 7:10, we can add that up to get 17 total pieces of that 85-degree angle. 85 / 17 = 5, so each piece is 5 degrees. Therefore, the other two angles are 7*5 = 35 degrees and 10*5 = 50 degrees.
What is P(3 or divisor of 24)?
Answer:
P
(
sum
>
3
and
divisor of
24
)
=
7
18
Explanation:
Possible target sums that meet the given requirements:
XXX
{
4
,
6
,
8
,
12
}
Consider the possible die rolls that can give these sums:
sum
−−−−
xxx
first roll
−−−−−−−
second roll
−−−−−−−−−
4
1
3
2
2
3
1
6
1
5
2
4
3
3
4
2
5
1
8
2
6
3
5
4
4
5
3
6
2
12
−−
6
−
6
−
Giving a total of
14
out of a possible
36
combinations that meet the given requirements.
Step-by-step explanation:
what dose equal 8x3 it equals 24
Answer:
true
Step-by-step explanation:
3+3+3+3+3+3+3+3=24.
Mark me brainliest please ._.
Answer:
did u just answer ur own question
Step-by-step explanation:
A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?
Answer:
vertex = (5, - 1 )
Step-by-step explanation:
The focus and directrix are equidistant from the vertex
Since the equation of directrix is y = - 3 then the parabola is vertical,
The distance between the focus and directrix is
| 1 - (- 3) | = | 4 | = 2
Thus the vertex is 2 units below the focus
vertex = (5, 1 - 2 ) = (5, - 1 )
A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).
What is a Parabola?A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.
As per the given information in the question,
The focus and directrix are equidistant from the vertex then,
The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:
|1 - (-3)| = |4| = 2
The vertex is therefore 2 units below the focus.
vertex = (5, 1 - 2) = (5, -1)
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help!!! (Brainlist!!!!!)
Answer:
Its A
Step-by-step explanation:
Irrational or rational -14.3
Answer:
It is an rational
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3. Use the information about the m<2 and m
determine the missing information.
m22 = 97°
m26 = 83°
m
2
5
m2 3 =
m2 5 =
3
4
7
8
m210 =
m2 7 =
9
10
13
14
m2 9 =
m216 =
$
11
12
15/16
Answer:
m<3 = 97
m<10 = 97
m<9 = 83
m<5 = 97
m<7 = 83
m<16 = 97
Step-by-step explanation:
m<3 = m<2 because of vertical angles
m<10 = m<2 because of corresponding angles
m<9 + 97 = 180
m<9 = 83
m<5 + 83 = 180
m<5 = 97
m<7 = m<6 because of vertical angles
m<16 = m<5 because of alternate exterior angles.
The diameter of a circle is 19 m. What is the circumference of the circle? Use 3.14 for pi.
Answer:
D) 59.66 m
Step-by-step explanation:
circumference = 19π = 59.66 m
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Answer:
I think D
Step-by-step explanation:
I am not sure sorry
5(22–3)-3(x+4),
Which expression is the simplest form of
9
A.
72-3
9
72-27
B.
C.
132-27
9
D. 72 – 3
Answer:
342
Step-by-step expl\
5335=454
If 10 apples cost $8.95, how much will 4 apples cost?
Step-by-step explanation:
here's your solution
=> cost of 10 apple = $ 8.95
=> cost of 1 apple = $8.95/10 = $ 0.895
=> cost of 4 apple = $ 0.895*4
=> cost = $3.580
hope it helps
Please help! If you do you will get 'Brainliest'
Answer:
D is your answer.
Step-by-step explanation:
if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half
Answer:
answer (-1) because from a if u minus 2 1/2 u get (-1)
Pls answer quickly I only have a 1 hr left to submit this assignment and I’m so stuck on it
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation:
solve the system of equations x+y=6 and y+3x=4
Answer: x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4
A $30 sweater is on sale for 20% off at Kohls. The same $30 sweater is on sale at Macy's for $5 OFF the price. What is the difference in sale prices between the two stores
Which store has the sweater in the above question for the better price ?
Answer: You can save 15% or more on car insurance when you switch to Geico
Step-by-step explanation:
The difference in sale prices between the two stores is $4.5.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, a $30 sweater is on sale for 20% off at Kohls.
Here, sales price = 30-20% of 30
= 30-20/100 ×30
= 30- 0.2×30
= 30-6
= $24
The same $30 sweater is on sale at Macy's for $5 off the price.
Here, sales price = 30-5% of 30
= 30-5/100 ×30
= 30- 0.05×30
= 30-1.5
= $28.5
So, difference in price = 28.5-24
= $4.5
Therefore, the difference in sale prices between the two stores is $4.5.
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The number of bacteria, B, present in a culture after t minutes is given as B = 10ekt. If there are 3778 bacteria present after 7 minutes, find k.
An onion soup recipe calls for 3 2/3 cups of chopped onions. Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. Katrina still needs to chop cups of onion soup recipe calls for 3 2/3 cups of chopped onions. Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. Katrina still needs to chop cups of onions
Answer:
[tex]2\dfrac{1}{3}\ \text{cups}[/tex]
Step-by-step explanation:
Amount of chopped onions required = [tex]3\dfrac{2}{3}\ \text{cups}[/tex]
Amount of onions Katrina has already chopped = [tex]1\dfrac{1}{3}\ \text{cups}[/tex]
Amount of onions that are required to be chopped is given by
[tex]3\dfrac{2}{3}-1\dfrac{1}{3}\\ =\dfrac{11}{3}-\dfrac{4}{3}\\ =\dfrac{7}{3}\\ =2\dfrac{1}{3}\ \text{cups}[/tex]
Hence, the amount of onions that are required to be chopped is [tex]2\dfrac{1}{3}\ \text{cups}[/tex].
find the solution to the system of equations.
the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.
use 3.14 for pi.
Step-by-step explanation:
Given
Circumference of circle = 48.042 yards
diameter (d) = ?
we know
Circumference = πd
or, 48.042 = 3.14 * d
or, d = 48.042 / 3.14
Therefore d = 15.3 yards
The circle's diameter is 15.3 yards.
Hope it will help :)❤
In illustrating combination question, during conference meeting there are 7 guests bumped their elbow instead of shake hand in greeting each of other to observe the health protocol ,and show the solution please...
I just need to solve this: 5x^3=60x
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Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the highest student changed the distribution by a lot