Answers
Answer:
5 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
where a is the first term and r the common ratio
The expression inside the summation is
4 [tex](\frac{1}{4}) ^{n-1}[/tex] ← the nth term of a geometric sequence
with a = 4 and r = [tex]\frac{1}{4}[/tex] , then
[tex]S_{4}[/tex] = [tex]\frac{4(1-(\frac{1}{4}) ^{3}) }{1-\frac{1}{4} }[/tex]
= [tex]\frac{4(1-\frac{1}{64}) }{\frac{3}{4} }[/tex]
= [tex]\frac{16}{3}[/tex] ( [tex]\frac{63}{64}[/tex] )
= [tex]\frac{21}{4}[/tex]
= 5 [tex]\frac{1}{4}[/tex]
Related Questions
f(4) =
If g(x) = 2, x =
<
Answers
If g(x)= 2, x= 0
The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?
Let x = the smaller number.
Let y = the larger number.
Which two equations represent the system for this word problem?
Equation 1:
Equation 2:
Answers
Step-by-step explanation:
everything can be found in the picture
Answer:
Step-by-step explanation:
Which two equations represent the system for this word problem?
Equation 1:
✔ x + y = 10
Equation 2:
✔ y = 4x
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
Answers
Answer:
13 : 8
Step-by-step explanation:
Number of plain bagels sold = 8
Number of rye bagels sold = 13
Ratio of the number of rye bagels to the number of plain bagels sold = 13 : 8
Also written as
13/8
Or
13 to 8
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
Answer: It is 13: 8.
PLEASE HELP BRO IM LOSING MY MIND (if u could explain how with the answer THATD be sick)
Answers
Answer:
y = (x+3)(x+2)(x+1)
Step-by-step explanation:
so how to determine that...
1) it has to be a third order equation (x^3) since it changes direction two times
2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors
A squirrel has a 75% chance of finding food when it is sunny, but only a 25% chance of finding food when it is raining. Suppose there is a 50% chance of rain. What is the probability that a squirrel will find food?
Answers
Answer:
The probability is 0.5
Step-by-step explanation:
If there is a 50% chance of rain, then there is also a 50% chance of not rain.
Now let's write all the probabilities:
(just take the percentage and divide it by 100%)
Probability of rain: p = (50%/100%) = 0.5
probabiity for the squirrel to find food when it rains: q = (25%/100%) = 0.25
Then the joint probability, this is, the probability that rains and that the squirrel finds food, is equal to the product of these two probabilities, this is:
P1 = 0.5*0.25 = 0.125
And we also have the case where there is no rain.
Probability that does not rain: p' = (50%/100%) = 0.5
Probability that the squirrel finds food if doesn't rain: q = (75%/100%) = 0.75
The joint probability is:
P2 = 0.5*0.75 = 0.375
The total probability that the squirrel will find food is equal to the sum of the probabilities of the squirrel finding food if there is rain, and the probability of the squirrel finding food if there isn't rain, so the total probability is:
P = P1 + P2 = 0.125 + 0.375 = 0.5
The sum of Aini’s age and Wani’s age is 62 years old. Three years later, Aini’s age is three times Wani’s age. How old is Aini now?
Answers
Answer:
48 years old
Step-by-step explanation:
a + w = 62
a+3 = 3(w+3) =>a+3=3w+9
=> a-3w = 6
a+ w = 62
a- 3w= 6
________-
4w = 56
w = 14
so, the Aini's age now is 62-14 = 48 years old
semoga membantu
find the vaule of a in ax+by=c
Answers
Answer:
a=[tex]\frac{c-by}{x}[/tex]
Step-by-step explanation:
To find a, we need to change the equation so a is the variable that is left by itself. So...
ax+by=c Get rid of anything else besides the x and its coefficient.
-by -by
ax=c-by Because a has to be completely isolated, get rid of its coefficient.
/x /x
a=[tex]\frac{c-by}{x}[/tex]
Hope this helps and have a great day :D
Answer:
[tex]a x + by = c \\ ax = c - by \\ \frac{ax}{x} = \frac{c - by}{x} \\ a = \frac{c - by}{x}[/tex]
Find the percentage decrease ???
Answers
Step-by-step explanation:
Price of a book costing sh.250
reduced to sh.200
percentage decrease on the price = (250-200)/250×100
= 20%
...yea i just need help (:
Answers
Answer:
2/3-4
3 1/3
-1*3.3=-3.3
-3 1/3 divided by 5/6
-4
so a
Hope This Helps!!!
Answer:
-2/3+4÷5/6
-2+12÷3÷5/6
10/3÷5/6
10/3x6/5
2/1x2/1
4/1
4
Step-by-step explanation:
hope this is helpful
"You want to purchase a North Face jacket for $180. You have already saved $115 and can set aside $13 a week.
Write and solve an inequality to find the number of weeks, w, it will take you to save at least $180.
Answers
Answer:
115 + 13w [tex]\geq[/tex] 180
Step-by-step explanation:
Tasha is planning an expansion of a square flower garden in a city park. If both the length and the width of the original garden are each increased by *3m*, the new total area of the garden will be *49* squared meters. Find the length of each side of the original garden.
Answers
Answer:
4 m
Step-by-step explanation:
Since the flower garden is square :
Both length and width are equal :
Let :
Original side length = x
Increased length = x + 3
Area of square = s² (s = side length)
New area = 49 m²
That is ;
(x + 3)² = 49
Original length, x can be calculated thus ;
Take square root of both sides
x + 3 = √49
x + 3 = 7
x = 7 - 3
x = 4
Hence, original length of each side = 4 m
Please answer i will give brainliest
Answers
What is the least number of cuts you would need to make to cut a 3 by 3 by 3 inch block of cheese into 1 by 1 by 1 inch blocks of cubes?
Answers
Answer:
6 Cut Minimum
Step-by-step explanation:
According to the Question,
You have a 3x3x3 cube.
First make two cuts parallel to base of the cube each at a distance of 1 unit . This leaves you with three cuboids of dimensions 3x3x1. Now make two parallel cuts parallel to the height of the cube. This leaves you with nine cuboids of dimensions 3x1x1. Now make the final two cuts each 1 unit apart parallel to width and you are left with 27 cubes of 1x1x1.So , the final answer is 6 cuts.
solve for x. round to the nearest tenth. If necessary
Answers
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 30°
Opposite Leg = 7
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [sine]: sin(30°) = 7/x[Multiplication Property of Equality] Cross-multiply: x = 7/sin(30°)Evaluate: x = 14Answer:
x = 14
Step-by-step explanation:
Given :-
θ, angle = 30°Hypotenuse = xopposite side = 7Solution :-
Since, it's right triangle we can use trignometery equations;
In this case we need to use sine equation.
sin θ = opposite side / hypotenuse
plug the values
sin 30° = 7 / x.
cross multiplication
x = 7 / sin 30°
Evaluate
x = 7 / 0.5
x = 14
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5.15 ft at midnight, rises to a
high of 10.2 ft falls to a low of 0.1 ft, and then rises to 5.15 ft by the next midnight
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the
situation?
Enter your answer in the box
Answers
Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
________ collect money from investors, create capital, and offer various investment options.
Fill in the blank
its 2 words
Answers
[tex]\sf\purple{Mutual \:funds}[/tex] collect money from investors, create capital, and offer various investment options.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Find the surface area and the volume of the figure
Round to the nearest tenth if needed.
Answers
Answer:
See belowStep-by-step explanation:
Surface area:
S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)Volume:
V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
Firstly let's find out the volume .
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
Lets find the surface area :-
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
Note :-
Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis
Answers
Given:
The system of equations is:
Line A: [tex]y=x-4[/tex]
Line B: [tex]y=3x+4[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]y=x-4[/tex] ...(i)
[tex]y=3x+4[/tex] ...(ii)
Equating (i) and (ii), we get
[tex]x-4=3x+4[/tex]
[tex]-4-4=3x-x[/tex]
[tex]-8=2x[/tex]
Divide both sides by 2.
[tex]-4=x[/tex]
Substituting [tex]x=-4[/tex] in (i), we get
[tex]y=-4-4[/tex]
[tex]y=-8[/tex]
The solution of system of equations is (-4,-8).
Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.
[tex]-8=-4-4[/tex]
[tex]-8=-8[/tex]
This statement is true.
Similarly,
[tex]-8=3(-4)+4[/tex]
[tex]-8=-12+4[/tex]
[tex]-8=-8[/tex]
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
Maverick wants to rent some office space for 5 years. The lease states that the
annual rent is $75,000 for the first year and will increase by 7.25% each
additional year of the lease. What will the total rent be for the entire 5-year
lease? Round your answer to the nearest hundredth.
Answers
Answer:
$106,426.01
Step-by-step explanation:
Use the compound amount equation A = P(1 + r)^t and take as your answer the total amount after 5 years. Here the principal is $75,000, the interest rate is 0.0725 and the number of years (t) is 5:
A = $75,000(1 + 0.0725)^5, or
A = $75,000(1.0725)^5, or
A = $106,426.01
Answer:
$434,907.04 or $435,179.37 depending on your teacher's rounding.
Step-by-step explanation:
The rent for the first year is given as $75,250.
For the second year, the rent will increase by 7.25%, so the rent will be:
$75250 + 0.0725 ($75,250) = $80,705.63
Using the calculation for the previous year, continue the formula.
The rent increases by 7.25% for the third year, so:
$80,705.63 + 0.0725 ($80,705.63) = $86,556.79
Fourth Year:
$86556.79 + 0.0735 (86556.79) = $92,918.71
Fifth Year:
92918.71 + 0.0735 (92918.71) = 99748.24
Add these all together to get the final rent after the 5 year lease:
75,250 + 80.705.63 + 86,556.79 + 92,918,71 + 99,748.24 = 435,179.37
The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.
Answers
Given:
Two rectangles are similar.
Length of first rectangle = 18 cm
Width of first rectangle = 6 cm
Width of second rectangle = 2 cm
To find:
The length of the second rectangle.
Solution:
We know that the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}[/tex]
Let x be the length of the second rectangle. Then,
[tex]\dfrac{18}{6}=\dfrac{x}{2}[/tex]
[tex]3=\dfrac{x}{2}[/tex]
[tex]3\times 2=x[/tex]
[tex]6=x[/tex]
Therefore, the length of the second rectangle is 6 cm.
PLEASE THIS PICTURES ANSWER PLEASE 10 POINTS ............................
NO WRONG ANSWER REPORT......
Answers
Hey buddy I am here to help!
1. 8*5*2 = 40*2= 80cm2
3. 10*25*60 = 250*60 = 15000m2
2. 12*12*12 = 36cm2
4. 3*5*18 = 90*4 = 360m2
Hope my answer helps!
Plz mark me brainliest!
● Question 3. answer is wrong in last multiply so their answer is 1728m^3...
In this image their in question (1,2,3,4) answer...
I hope you understand...
Mark me as brainliest....
Thanks
Which is a better estimate for the height of a 5-story building?
a. 15 centimeters b.15 meters
Answers
Answer:
b. 15 meters
Step-by-step explanation:
This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.
Answer:
B bro
Step-by-step explanation:
Name the marked angle in 2 different ways.
Answers
1) angle LKM
2) angle MKL
how much water should be added to one liter of pure ammonia to make a mixture of 50% ammonia
Answers
Answer:
I assume that this is a math question not a chemistry question...
In math I assume the answer is 1 liter....
total = 2 liters (1 liter water 1 liter ammonia )
If this is a chemistry question there is a difference between total
volume, and total weight, which would not result in the answer being 1 liter
Step-by-step explanation:
a=10^x, b=10^yanda^y^*b*x=100then2xy=?
Answers
Answer:
Here is your answer
Step-by-step explanation:
xy = 1
Hope you like it : )
x^{2} -(3+\sqrt{3} )x +\sqrt{3} -2=0
Answers
Answer:
[tex]{ \tt{ {x}^{2} -( 3 + \sqrt{3} ) x + \sqrt{3} - 2 = 0}} \\ \\ x = 4.8 \: \: and \: \: - 0.05[/tex]
Find the reciprocal of 9.
Answers
the reciprocal of 9 is 1 divided by 9, i.e. 1/9
PLEASE HELP MEE 1616,
What is the value of f in the equation 7f-1=6
Answers
Answer:
f=1
Step-by-step explanation:
Answer:
Then vaule of f is 1
Step-by-step explanation:
The vaule of f is 1 because 7 x 1 = 7 - 1 =6
Find The Measure Of D
Answers
Answer:
138 Degrees
Step-by-step explanation:
Because it is adjacent to the 42 degrees, just subtract 42 from 180 to get 138 degrees.
Answer:
D+42*=180*
D=180-42
138
Step-by-step explanation:
mark as brainiest please
A typical serving of fish is 4 ounces. What is this serving size in grams?
Answers
Answer:
the answer is 113.398 grams
4 ounces is 113.398 in grams
