Answer:
The eighth term is 8748Step-by-step explanation:
Since the sequence is a geometric sequence
For an nth term in a geometric sequence
[tex]A (n) = a ({r})^{n - 1} [/tex]
where
a is the first term
r is the common ratio
n is the number of terms
To find the eighth term we must first find the first term
4th term = 108
common ratio = 3
That's
[tex]A(4) = a ({r})^{4 - 1} [/tex]
[tex]108 = a ({3})^{3} [/tex]
[tex]27a = 108[/tex]
Divide both sides by 27
a = 4The first term is 4For the eighth term
[tex]A(8) = 4 ({3})^{8 - 1} [/tex]
[tex]A(8) = 4({3})^{7} [/tex]
The final answer is
A(8) = 8748The eighth term is 8748Hope this helps you
Emma changed £500 into rand before going on holiday to South Africa.
The rate of exchange at the time was £1 = 10.4 rand.
Emma spent 4000 rand on holiday. When she got home, she changed her leftover rand into pounds.
The exchange rate was now £1 = 9.8 rand. How much money did she get back in pounds?
Answer:
I'm sorry but I can give exact numbers but I would like to help work it out so...
Step-by-step explanation:
So overall she had £500 to start with
And £1 is equal to 10.4 rand
So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds
Hope this helps
If this seems incorrect please comment and I will change my answer thanks:)
Find the missing probability. P(A)=15,P(A∪B)=1225,P(A∩B)=7100 ,P(B)=?
Answer:
p(B) = 8310Step-by-step explanation:
We will use the addition rule of probability of two events to solve the question. According to the rule given two events A and B;
p(A∪B) = p(A)+p(B) - p(A∩B) where;
A∪B is the union of the two sets A and B
A∩B is the intersection between two sets A and B
Given parameters
P(A)=15
P(A∪B)=1225
P(A∩B)=7100
Required
Probability of event B i.e P(B)
Using the expression above to calculate p(B), we will have;
p(A∪B) = p(A)+p(B) - p(A∩B)
1225 = 15+p(B)-7100
p(B) = 1225-15+7100
p(B) = 8310
Hence the missing probability p(B) is 8310.
Calculate the volume of the regular triangular pyramid
with the base edges of length 17 feet and a height of
length 5 feet. (Hint: Remember that the base of a
regular triangular pyramid must be an equilateral triangle, not
necessarily congruent to the sides of the pyramid.)
Answer:
70.83 ft³
Step-by-step explanation:
The volume of a pyramid is:
[tex]\frac{bh}{3}[/tex], where b is the base area and h is the height.
Let's first find the area of the base.
[tex]17\cdot5=85\\85\div2=42.5[/tex]
Multiplying this by 5:
[tex]42.5\cdot5=212.5[/tex]
Dividing by 3:
[tex]212.5\div3=70.83[/tex].
Hope this helped!
A bookstore decides to divide its space into three sections: nonfiction books, novels, and stationery. The bookstore wants to devote 1/6 of its space to stationery. If the total area of the bookstore is 288 square feet, and the stationery section will be 12 feet long, how wide will the stationery section be?
Answer:
Stationery section will be 4 feet wide.
Step-by-step explanation:
Total area of bookstore = 288 sq ft
Area to be devoted to stationery = [tex]\frac{1}6[/tex] of total area = [tex]\frac{1}{6} \times 288 = 48\ sq\ ft[/tex]
Length of stationery section = 12 ft
To find:
Width of stationery section = ?
Solution:
First of all, let us have a look at the area of rectangle:
[tex]A = Length \times Width[/tex]
Here, we are given the length for stationery section and area of stationery section has been calculated above.
And we have to find the Width of stationery section.
So, let us put the two values to find the third value.
[tex]\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}[/tex]
So, the answer is:
Stationery section will be 4 feet wide.
Factor 75 - 95. a. 5(15 - 19) b. 5(19 - 15) c. 25(3 - 4) d. 25(4 - 3)
Answer:
a. 5(15-19)
Step-by-step explanation:
to factor out this expression you need to find the greatest common factor (GCF) in order to fully factor out the expression
the GCF of the number 75 and -95 is 5
divide both numbers by 5 to get 15 and -19
to finish out with the fully factored expression put 15-19 inside parenthesis and put a 5 outside of the parenthesis as shown below:
5(15-19)
Answer:
a. 5(15 -19)
Step-by-step explanation:
15*5 = 75
-19*5 = -95
Factor is:
5(15 -19)
1/2x-(x-2/3a)+1/4a please help me im so confused!
Is 7/12 rational or irrational
Answer:
7/12 is a rational
Step-by-step explanation:
because it is containing a quantity which are expressible
Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.
Let the number be 'x'.
The three times the number plus 7. Then the expression is given as,
⇒ 3x + 7
The number 'x' is decreased by 15. Then the expression is given as,
⇒ x - 15
Both expressions are equal to each other. Then we have
3x + 7 = x - 15
3x - x = - 15 - 7
2x = - 22
x = - 11
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
hey can someone help me out here because i dont know none of this
Answer:
x = 0
Step-by-step explanation:
In order for this to be a function there has to be an x and y pair. You cant have 2 different x values correlate to 1 y value. The only number not used on the table of value is 0
Therefore the value of x is 0
==================================================
Explanation:
The table shows the inputs of -5, -1, x, 1 and 3. Ignore the x for now. The numerical inputs are -5, -1, 1, 3
If we have any input repeat itself with a different paired y value, then we will not have a function.
So if x = -5, then we don't have a function. This is because x = -5 is already paired with y = 4 in the top row. We can't have the input x = -5 lead to y = 0 at the same time. Any input must lead to exactly one output only. So this rules out choice A as a possible answer.
Choice C and choice D are eliminated for similar reasons as well. This leaves choice B. We don't have x = 0 yet, so it is a valid possible input. We can pick any thing we want for x as long as its not already done so in the table.
Top Hat Soda has 300,000 milliliters of cola to bottle. Each bottle holds 500 milliliters. How many bottles will the cola fill?
Answer:600
Step-by-step explanation:
300,000/ 500 =600
4+2p=10 (3/4p-2) solve for p
Answer:
p = 48/11 or 4.36
Step-by-step explanation:
4 + 2p = 10(3/4p - 2)
distribute the 10 on the right side of the equation
4 + 2p = (15/2p - 20)
multiply both sides by 2
8 + 4p = 15p - 40
move the terms
48 = 11p
p = 48/11
(sorry if this question is already answered, brainly is glitching out for me)
Answer:
p=6
I got it right on Kahn Academy
You pull one card at random from a standard deck and you shuffle the remaining cards. Then you pull another card. Is the event independent or dependent?
Answer:
If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.
Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.
So, we can say that it is an example of independent event.
Megan leaves her house at 4:15 to go soccer practice. It takes her 35 minutes to get there. Her practice is two hours long. Then, she drives home, which takes 40 minutes. What time does she get back home?
Answer:
7:35
Step-by-step explanation:
we take the 35 and 45 and add it together, then take out the 60 minutes and put that in as an hour. the practice is two hours long plus the hour we took out. then the remaining minutes are 20. we add 20 minutes and three hours
15. Paul is scuba diving and is 3.5 feet below
sea level. He is descending at a rate of 0.5
feet per minute. If Paul is now at 12 feet
below sea level, how many minutes has he
been diving?
Answer:
24min.
Step-by-step explanation:
he descends 0.5 feet per min. Its just like counting by 2's. I hope this helped!!
Answer:
17 minutes
Step-by-step explanation:
This equation can be expressed as .5m+3.5=12 where m = minutes. I put this in a graphing calculator but to solve this you can
12-3.5=8.5
8.5/.5 = 17
what is 3 squared (a) if a = 107
Answer:
Brainleist!
Step-by-step explanation:
This is the equation I'm solveingg [tex]3^{2(107)}[/tex]
if so...
here
3^214
or
1.2704234747596538696295415610762e+102
it a cycle is sold for rs 17250 there is again of rs 2250. what is the gain percentage
Answer:
15%
Step-by-step explanation:
profit=sp -cp
cp=sp-profit
=17250-2250
=15000
profit%= profit amount/cp *100%
=2250/15000×100
= 15
Answer:
[tex] \boxed{ \boxed{ \sf{ \bold{ \purple{15\%}}}}}[/tex]Step-by-step explanation:
Given,
SP ( Selling price ) = Rs 17250
Profit ( P ) = Rs 2250
CP ( Cost price ) = Rs 17250 - Rs 2250 = Rs 15000
Now, let's find the profit / gain percentage :
Profit % = [tex] \sf{ \frac{profit}{cost \: price} \times 100\%}[/tex]
plug the values
⇒[tex] \sf{ \frac{2250}{15000} \times 100\%}[/tex]
Calculate
⇒[tex] \sf{15\%}[/tex]
-----------------------------------------------------------------
▪[tex] \underline{ \underline{ \sf{ \blue{What \: is \: the \: formula \: to \: find \: profit \: percent \: and \: loss \: percent?}}}}[/tex]
We know that , profit and loss are calculated on cost price ( CP ). So, profit percent and loss percent can be calculated by using the following formula :
[tex] \boxed{ \sf{Loss\% \: = \frac{cp - sp}{cp} \times 100\%}}[/tex]
[tex] \boxed{ \sf{ \bold{Profit\% \: = \: \frac{sp \: - \: cp}{cp} \times 100}}}[/tex]
Hope I helped!
Best regards!!
Arc length practice
Answer:
[tex]\large\boxed{s = 4\pi}[/tex]
Step-by-step explanation:
The arc length is determined by the formula [tex]s=r\theta[/tex], where s is the arc length, r is the radius, and [tex]\theta[/tex] is the value of the central angle (in radian formatting).
By substituting the values for the radius and the central angle, you can solve for the arc length.
[tex]\text{The radius is half of the diameter -} \: \boxed{\frac{4}{2}=2}[/tex].
The central angle is converted to radian form by multiplying the angle in degrees by the fraction of π/180 - 360° * π/180 = 360π/180 = 2π.
Now, substitute the values and solve for s.
s = (2)(2π)
[tex]\large\boxed{s = 4\pi}[/tex]
10 points please help
Answer:
[tex]\frac{14}{55}[/tex]
Step-by-step explanation:
note that
n! = n(n - 1)(n - 2) .... × 3 × 2 × 1
Given
[tex]\frac{8!9!}{5!12!}[/tex]
Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from
5! ( 5 × 4 × 3 × 2 × 1 ) leaving
8 × 7 × 6 = 336 on the numerator
Similarly
Cancel the terms from 9! and 12!
leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to
[tex]\frac{336}{1320}[/tex]
= [tex]\frac{14}{55}[/tex]
What is the value of 4² - 2(3·5+1)? plz help, will mark brainliest A. 8 B. 1 C. -16 D. -21
Answer:
Hey there!
4^2-2(3(5)+1)
16-2(15+1)
16-2(16)
-16
C is correct.
Let me know if this helps :)
Answer:
[tex] \boxed{ \mathsf{ \boxed{ \purple{ \bold{{ - 16}}}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{ {4}^{2} - 2(3 \times 5 + 1)}[/tex]
Evaluate the power
⇒[tex] \mathsf{16 - 2(3 \times 5 + 1)}[/tex]
Multiply the numbers
⇒[tex] \mathsf{16 - 2(15 + 1)}[/tex]
Calculate the sum
⇒[tex] \mathsf{16 - 2 \times 16}[/tex]
Multiply the numbers
⇒[tex] \mathsf{16 - 32}[/tex]
Calculate
⇒[tex] \mathsf{ - 16}[/tex]
Hope I helped!
Best regards!
Find the value of x to the nearest tenth.
Answer:
x =20.8
Step-by-step explanation:
We can find the value of 1/2 of x using the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 6^2 = 12^2
a^2 = 36+144
a^2 = 108
Take the square root
sqrt(a^2) = sqrt( 108)
a =sqrt(36*3)
a = sqrt(36) sqrt(3)
a = 6sqrt(3)
Now x = 2 times the length of a
x = 2 * 6 sqrt(3)
x = 12 sqrt(3)
x =20.78460969
x =20.8
20 POINTS!!! Use the quadratic formula above to solve for h(t) = -4.9t^2 + 8t + 1 where h is the height of the ball in meters and t is time in seconds. Round to the nearest hundredth second!
Answer:
Two solutions: -0.12 and 1.75.
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]. Assuming that the x² term is a, the x term is b, and the constant is c, we can plug the values into the equation.
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {8^2 - 4\cdot-4.9\cdot1} }}{{2\cdot-4.9}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {64 + 19.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {83.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {9.14} }}{{-9.8}}} \end{array}[/tex]
[tex]\frac{-8 + 9.14}{-9.8} = -0.12[/tex]
[tex]\frac{-8-9.14}{-9.8} =1.75[/tex]
Hope this helped!
An inchworm (exactly one inch long, of course) is crawling up a yardstick (guess how long that is?). After the rst day, the inchworm's head (let's just assume that's at the front) is at the 3" mark. After the second day, the inchworm's head is at the 6" mark. After the third day, the inchworm's head is at the 9" mark. Let d equal the number of days the worm has been crawling. (So after the rst day, d = 1.) Let h be the number of inches the head has gone. Let t be the position of the worm's tail.
Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.
A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.
At which times could Rory's phone have been plugged into the charger? Select three options.
Answer:
9 hours
11 hours
19 hours
Step-by-step explanation:
The graph represents the percentage of battery life remaining after a certain number of hours is attached below.
At which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hours
Answer: From the graph, the line segment with negative slope (that is decreasing value) shows that the phone is not plugged but being used while the line segment with positive slope (increasing value) or stays at 100% shows that the phone is plugged to the charger.
As shown, from 0 to 8 hours their is a decreasing value, the phone is not plugged. From 8 to 10 hours their is an increasing value therefore the phone is plugged also from 10 to 12 hours the phone is plugged since it is constant. From 12 to 16 hours it is not plugged. From 16 to 18 hours it is plugged and from 18 to 20 hours it is plugged.
From the options it is plugged at 9 hours, 11 hours and 19 hours
Answer:
B - 9 HOURS
C - 11 HOURS
E - 19 BHOURS
Step-by-step explanation:
i took the test
find the positive square root of 26.77
Answer:5.173973328
Step-by-step explanation:
Please answer ASAP!
Type your response in the box. Jack and Mia are playing a game with pick-up sticks. Mia places a pile of 100 pick-up sticks on the table. Forty of the sticks are black, and the rest are brown. She randomly splits all the sticks into two piles—one on Jack’s left and one on his right. Mia tells Jack that there are 44 brown pick-up sticks in the pile on his right. Jack looks at the pile of pick-up sticks on his left and estimates that it contains 44 sticks in all. Now Mia blind folds Jack and asks him to choose a stick at random. Jack knows that if he selects a black pick-up stick, Mia will treat him to dinner at his favorite restaurant. If he picks a brown one, then he will treat Mia to dinner at her favorite restaurant. Mia gives Jack three options for selecting:
Choose randomly from the pile on the left.
Choose randomly from the pile on the right.
Push the piles back together and choose randomly from the entire pile.
Which option should Jack choose so that Mia treats him to dinner at his favorite restaurant? Explain your answer.
Answer: Choose randomly from the pile on the left.
Step-by-step explanation: The ratio of brown to black sticks on the left pile is 16:28 and on the right pile is 44:12. Therefore, jack should choose from the left side because there is a higher chance in picking a black stick.
Express 0.504 as a fraction in its lowest term
Answer:
63/125
Step-by-step explanation:
Turn the decimal .504
=> 504/1000
=> 504/1000 = 252/500
=> 252/500 = 126/250
=> 126/250 = 63/125
=> 63/125 cannot be simplified anymore.
So, 63/125 is the simplified fraction of .504
please help on 30–31
Step-by-step explanation:
30-option c
because only crows r black in appearance
31-option d
thats the option which represents the question asked
Solve for x: 2x+1= -3x+36
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7
Answer:
first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7
Step-by-step explanation:
hope this helps
HELP!! The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium? Show your work.
Answer:
Answer is 36 I think
Step-by-step explanation:
im not sure
Given that ΔABC is a right triangle with a right angle at C, if tan A = [tex]\frac{5}{4}[/tex], find the value for tan B.
A. tanB = [tex]\frac{3}{4}[/tex]
B. tanB = [tex]-\frac{4}{5}[/tex]
C. tanB = [tex]\frac{4}{5}[/tex]
D. tanB = [tex]-\frac{5}{4}[/tex]
Answer:
C
Step-by-step explanation:
tan A = [tex]\frac{5}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] , thus
The opposite side is the adjacent side for B and the adjacent side is the opposite side for B, thus
tan B = [tex]\frac{4}{5}[/tex]
