Answer:
8th term = 8748 , Sum of 5 terms = 484
Step-by-step explanation:
Formula for nth term in an exponential sequence = a r^ (n-1)
Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108
So, a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108
a 3^3 = 108 → 27 a = 108 → a = 108 / 27 → a = 4
8th term = a r^ (n-1) , at n = 8. So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748
Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]
= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484
Find the area
Please help!!!
Answer:
area of the semicircle=
diameter²=9²+21.6²
=81+466.56
diameter² =547.56
diameter=√547.56
=23.4
radius of the semicircle=diameter/2=23.4/2
=11.7
area of the semicircle=1/2πr²
=1/2×3.14×11.7²
=214.9173m²
area of the triangle=1/2×9×21.6
=97.2m²
area of the shaded region=214.9173m²-97.2m²
=117.7173m²
round it as possible
The six grade class at Kennedy middle school participated in a fundraiser each day they raise twice as much as the day before on the first day they race $24 how much money did they raise over all five days of the fundraiser
Answer: E. $744
Step-by-step explanation:
Think of all 5 days and the previous day doubled
So
24
48
96
192
384
All together is $744.
Determine side x. Round to the nearest unit. 20 9 12 5
Answer:
12
Step-by-step explanation:
First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.
Sin 53 degrees = opposite side / hypotenuse side.
The opposite side is x and the hypotenuse side equals 15.
sin53= x/15
15 ( sin 53 ) =x
x= 11.97953
Round
x=12
Please help with this question
Answer:
B option is correct Answer. Thanks
One number is 2 more than another number. If the product of the two numbers is 35, what are the numbers? Please show the work
Answer: 5 and 7.
Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.
First I made a list of numbers that when multiplied equal 35
Then I went through the list and took out all the options that were not one number being 2 more than the other.
The only option left is 5 x 7 (5*7)
what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?
The numbers are 5 and 7.
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
let the first number be 'x'
another number = x+2
According to question,
x(x+2)= 35
x²+2x-35=0
x²+7x-5x-35=0
x(x+7)-5(x+7)=0
(x-5)(x+7)=0
x= +5, -7
Hence, the numbers are 5 (x) and 7 (x+2).
Learn more about equation here:
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Which of the following is a factor of x2 + 10x -24
Answer:
b) (x + 12)
Step-by-step explanation:
x² + 10x - 24
factors of 24 are: 1x24, 2x12, 3x8, 4x6
the pair I would select would be 2 and 12 as they could result in 10
(x + 12)(x - 2) = 0
pls help ill give brainlist (pic below)
Answer:
don't see a question but there 12 units
Step-by-step explanation:
Divide.
(2x2 + 13x + 9) = (x + 7)
I think the right question, should be like this,
= 2x² + 13x + 9/x + 7
So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.
---------------------------------------
P.S- Sorry for messing writing.
4x-2(x-5)=-8+4x+12 answer plz help #lovedafans
Answer:
x = 3
Step-by-step explanation:
Answer:
The answer is x = 3
How much money would you have if you invested $3000 at 6.25% annual interest, compounded daily for 2 years?
Answer:
[tex]A\simeq3399.41[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $3000
[tex]r = 6.25\% = \frac{6.25\%}{100\%}=0.0625[/tex]
t = 2
n = 365
Then,
[tex]A=3000(1+\frac{0.0625}{365} )^{(365)(2)}\\\\A=3000(1+\frac{0.0625}{365} )^{730}\\\\A=3399.408982\\\\A\simeq3399.41[/tex]
John runs 9 miles in an hour. How much distance (in miles) will he cover in 4/3 hours?
plssssss helpppppppppppppppppppp
Answer:
c
Step-by-step explanation:
There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answer:
1,024 ÷ by how many number of rounds= x
Answer:
1,024(0.50)^x That is the answer......................................
I cant download the answers.
Answer:
add it then it will be easy than downloading
Answer:
{-3, -2, -1}
Step-by-step explanation:
Help me ASAP please!!
Answer:
If you are asking for the X then the answer would be 7.
Help please!! :)))) Thanks!
The diagram shows a triangle.
What is the value of b?
The value of B is =31 .
the value of b is 31
PLEASE SOMEONE HELP AND NO LINKS OR UR GONNA GET REPORTED
Determine the value of x.
A.) 2\sqrt{6}
B.) 6\sqrt{2}
C.) 6\sqrt{3}
D.) 12
Answer: D) 12
Step-by-step explanation:
As you can see side A is 6 and side B is also 6 so side C must be 12
need cos A and tan A asap please
Answer:
[tex]\sin A=\frac{12}{37},\\\\\cos A=\frac{35}{37},\\\\\tan A=\frac{12}{35}[/tex]
Step-by-step explanation:
In a right triangle only, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse of the triangle. (o/h)
The cosine of the angle is equal to the angle's adjacent side divided by the hypotenuse of the triangle. (a/h)
The tangent of the angle is equal to angle's opposite side divided by the adjacent side. (o/a)
In this case, angle A's opposite side is 12, its adjacent side is 35, and the hypotenuse is 37 (o=12, a=35, h=37).
Thus we have:
[tex]\sin A=\frac{12}{37},\\\\\cos A=\frac{35}{37},\\\\\tan A=\frac{12}{35}[/tex]
Answer:
Step-by-step explanation:
sin A=opposite/hypotenuse=12/37
cos A=adjacent/hypotenuse=35/37
tan A=opposite/adjacent=12/35
pay:11.71 per hour
hours:11 hours per week
Answer:
$128.81 per week
$515.24 per month
$6182.88 per year
Step-by-step explanation:
[tex]\frac{11.71}{y} :\frac{1}{11}[/tex]
y = 128.81
[tex]\frac{128.81}{y} :\frac{1}{4}[/tex]
y = 515.24
[tex]\frac{515.24}{y}: \frac{1}{12}[/tex]
y = 6182.88
Need help with this question
Answer:
QR = 82.38 to nearest hundredth.
Step-by-step explanation:
As they are similar corresponding sides are in the same ratio.
So MN / QR = LM / QR
13/51 = 21/ QR
`3QR = 51*21
QR = 51*21/13
QR = 82.38
Use the sum and difference rule to find the derivative of y=(3x^5)+(2x^4)-(2x)
Answer:
[tex]y^{'} = 15x^{4} +8x^{3} -2.[/tex]
Step-by-step explanation:
[tex]y=3x^{5} +2x^{4} -2x;\\y^{'} = ({3x^{5}^}) {'} +({2x^{4}}) {'} - ({2x}) {'}; \\y^{'} = 3*5x^{5-1} +2*4x^{4-1} -2*1x^{1-1} ;\\\\ y^{'} = 15x^{4} +8x^{3} -2.[/tex]
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012.
Republican
159
170.5 238 5
356
525
Democratic
13
181
299
3675
379
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answer:
The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.
Step-by-step explanation:
The correct statement is; The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.
How to find the interquartile range?IQR(interquartile range) is the difference between third and first quartile.
[tex]IQR = Q_3 -Q_1[/tex]
The lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
The third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
From the given plots, we have:
Republican
[tex]IQR = Q_3 -Q_1[/tex]
IQR = 356 - 170.5
IQR = 185.5
Democratic
[tex]IQR = Q_3 -Q_1[/tex]
IQR = 367.5 - 181
IQR = 186.5
Hence, The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.
Learn more about quartiles here:
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The temperature dropped 2°C every hour for 8 hours. What was the total number of degrees the
temperature changed in the 8 hours?
lºc.
The total change in the temperature was
Mario has been at bat 22 times this baseball season. Of the times at
bat, he hit the ball 18 times. Determine the decimal of this situation
and determine if the decimal is repeating or terminating.
Answer:
.81 Repeating Decimal
Step-by-step explanation:
I think
Answer:
0.81
Step-by-step explanation:
18 divide by 22 is 0.81
Please answer ASAP
Answer:
the answer I think your looking for is C
Answer: it’s C
Step-by-step explanation:
Note: picture not drawn to scale
The circle above has a radius of 10 cm. What is the area of the circle?
Use = 3.14.
А. 628 cm2
B. 62.8 cm2
C. 314 cm2
D. 31.4 cm?
ASAP
Answer: C. 314 cm2
Step-by-step explanation:
The equation for the area of a circle is: pi * radius squared. First, 10 squared is 100. 100 times 3.14 is 314.
Basic Ratio Right Triangle Trigonometry Find the missing side X and Y.
Is 511Q bad on a test :((
Answer:
big brain
Step-by-step explanation:
which statement is true ? BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST!
Answer:
[tex]\sqrt{11}[/tex] is between 3 & 4
Step-by-step explanation: