Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings
Answer:
5.625
Step-by-step explanation:
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
5.625 grams of fat are in 3.75 servings.
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
What is a Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
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A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.
8. Damia has 120 g of butter and wants to use it all in this recipe. What total weight of flour and sugar should he use in grams?
9. Damia realizes he only has 60 g of sugar, so can’t use all of his butter. How many grams of butter will he have
left over when he’s finished making the recipe?
Answer for question number 8 is 300 gms.
Can someone help to solve question number 9 in step by step please?
Answer:
600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes
120 cakes could be made with 1 kg of butter
Step-by-step explanation:
Here, 72 cakes = 6 dozen cakes
( since 12 cake = 1 dozen cake ).
a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).
• Butter - 150/1.5 = 100 g per dozen
For 6 dozen :
100g x 6 = 600 g
• Flour - 500/1.5 = 333.33 g per dozen
For 6 dozen :
333.33 g x 6 = 2000 g
• Sugar - 50/1.5 = 33.33 g per dozen
For 6 dozen :
33.33 x 6 = 200 g
• Currants - 100/1.5 = 66.67 g per dozen
For 6 dozen :
66.67 x 6 = 400 g
b. It is given that,
150g butter is required to make = 18 cakes
Then by using unitary method, we get,
1 g of butter is required to make = 18/150 cakes
Since, 1 Kg = 1000 g
Then,
1000 g of butter is required to make = (18/150) × 1000
= 120 cakes
Hence, with 1 kg of butter 120 whole cakes can be made.
Hope this answer helps you :)
Have a great day :)
Mark brainliest
Mai is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Mai rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $0.50 if a 4, 5, or 6 is rolled.
a) Find the expected value of playing the game.
b) What can Elsa expect in the long run, after playing the game many times?
1) Elsa can expect to gain money. She can expect to win___dollars per roll.
2) Elsa can expect to lose money She can expect to lose___dollars per roll.
3) Elsa can expect to break even (neither gain nor lose money).
Answer:
A. 0.75
B. Elsa can expect to gain 0.75 dollars
Step-by-step explanation:
We have six outcomes
Using the table in the attachment, the expected value was calculated.
Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333
= 0.75
B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 +b^2 = 25^2
400 + b^2 = 625
-400 -400
b^2 = 225
b = √225
b = 15
HELP
Which equation has no real solution A. B2 + 3b = -3
B. 2c2 + 4c = 9
C. -5c2 – c= -2
D.7g +1 + 3g2 = 0
Answer:
A.
[tex] {b}^{2} + 3b - 3 = 0[/tex]
Step-by-step explanation:
[tex] {b}^{2} + 3b - 3 = 0 \\ because \: \: {b}^{2} < 4ac \\ {b}^{2} = {3}^{2} = 9 \\ 4ac = 4 \times 1 \times - 3 = - 12 \\ hence : {b}^{2} < 4ac[/tex]
Can someone tell me how to give the brainliest award out. You will get it if you answer first
Answer:
you click the crown :)
Step-by-step explanation:
hope this helps!
Answer:
Just click on the words "Award Brainliest" on top of the answer of a user to a certain question of yours.
Step-by-step explanation:
Find the area of a regular polygon with 9 sides that has a side length of 12 inches and an apothem of 15 inches.
Answer:
An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:
A = (1/2)*(Perimeter)*(Apothem)
The perimeter of the regular polygon is just the length of one side multiplied with the number of sides. Since a polygon with 9 sides,
P = 9(15) = 135in
A = 1/2 ×135 × 12
A = 810 square inches ans
How many different squads of 5 players can be picked from 10 basketball players?
Answer:
2 squads of five can be picked from 10 basketball players
Step-by-step explanation:
To solve this problem you have to divide 10 ÷ 2 which equals to 5.
chhering deposite rs. 40000 in a bank at the rate of 5% p.a. if he has to pay 5%of the total interest as tax for the bank how much will he get after 4 years
Answer: Rs 7600
Step-by-step explanation:
The interest will be calculated as:
= Principal × Rate × Time
= 40000 × 5% × 4
= 40000 × 0.05 × 4
= 8000
Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:
= 8000 - (5% × 8000)
= 8000 - (0.05 × 8000)
= 8000 - 400
= 7600
Therefore, he'll get Rs 7600
Look at this net for a rectangular prism.
What is the surface area of the solid created by the net? Show your work.
the second part of the question EXPLAIN YOUR THINKING PLZ HELP
The length of the rectangular face is 15 cm, and there are 4 rectangular faces in the rectangular prism. If the length of the rectangular faces in the prism was tripled to 45 cm, what would happen to the size of the 2 rectangular bases of the prism? Explain your thinking.
Answer:
Step-by-step explanation:
the surface area = area of the 4 faces+ area of the 2 bases
4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²
if the length of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.
The women athletes in the BIG10 Schools have a long-term graduation rate of 73%. Over the past several years, a random sample of 23 women showed that 19 graduated. Does this indicate that the population proportion of women athletes who graduate from the BIG10 is now more than 73%
Answer:
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
Step-by-step explanation:
Here,
The null hypothesis is p = 0.73
Alternate hypothesis is p> 0.73
The level of significance = 0.10 or 10%
Sample size = 23
Sample proportion = 19/23 = 0.826
Z test statistics
= (p’-p)/Sqrt ((p(1-p)/n))
Substituting the given values, we get –
Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037
Thus, the P values for Z>1.037
= 1- P(Z less than or equal to 1.037)
= 1- 0.8501
= 0.150
P-value is greater than the level of significance
We will accept the null hypothesis
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
Express 5 cm in metre and kilometre.in decimals........................
Answer:
0.05 metre
5×10^5 kilometer
1.9685
2. Caleb wants to tile the floor of his fort, the dimensions are 3mm by 4m. The tiles he
wants to buy come in squares. The perimeter of the tile is 80cm.
How many tiles will Caleb need?
tiles
Answer:
Number of tile need = 300 tiles
Step-by-step explanation:
Given:
Dimensions of floor = 3 m by 4 m
Perimeter of square tile = 80 cm
Find:
Number of tile need
Computation:
Perimeter of square tile = 4(Side)
80 = 4(Side of tile)
Side of tile = 80 / 4
Side of tile = 20 cm
Side of tile = 0.2 meter
Area of tile = 0.2 x 0.2
Area of tile = 0.04
Area of floor = 3 x 4
Side of tile = 12 square meter
Number of tile need = 12 / 0.04
Number of tile need = 300 tiles
The distribution of student scores on the quantitative section of the SATs have an approximately normal distribution with a mean score of 501 points, and a standard deviation of 85 points. If you randomly select one student who has taken the SAT, what is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs
Answer:
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean score of 501 points, and a standard deviation of 85 points.
This means that [tex]\mu = 501, \sigma = 85[/tex]
What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?
This is 1 subtracted by the p-value of Z when X = 600. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{600 - 501}{85}[/tex]
[tex]Z = 1.165[/tex]
[tex]Z = 1.165[/tex] has a p-value of 0.878.
1 - 0.878 = 0.122
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Integrate Sin(3x)Cos(3x) dx
Answer:
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
Step-by-step explanation:
We use integration by substitution to obtain the integral, where:
[tex]u = \sin 3x[/tex], [tex]du = 3\cdot \cos 3x\,dx[/tex]
[tex]I = \int {\sin 3x\cdot \cos 3x} \, dx[/tex]
[tex]I = \frac{1}{3} \int {u} \, du[/tex]
[tex]I = \frac{1}{6}\cdot u^{2} + C[/tex]
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
fx= ab*2÷t*2, make t the subhect of the formulae
[tex]fx = ab { }^{2} \div t {?}^{2} [/tex]
Answer:
t = √ab²/fx
Step-by-step explanation:
fx= ab*2÷t*2, make t the subject of the formulae
Given the function
fx = ab²/t²
We are to make t the subject of the formula
fxt² = ab²
t² = ab²/fx
Take the square root of both sides
√t² = √ab²/fx
t = √ab²/fx
Hence the required value of t is √ab²/fx
Todd Lyle worked Monday through Friday from 8:00 A.M. to 5:00 P,M. with an hour off for lunch. He is paid $10,50 an hour. Find his earnings for the week.
Answer:
$315
Step-by-step explanation:
He earns $63 everyday, and then you just have to multiply that by 5 since he works 5 days in a week.
On Tuesday, 4 out of every 10 people who entered a store purchased something. If 8,800 people entered the store on Tuesday, how many people purchased something?
67-2x+89/2+7-8x=0
help me please
Answer:
x = 11.85
Step-by-step explanation:
[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]
Answer:
[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
45-45-90 Right Triangles! Can somebody please help me? ASAP!!
Answer:
Step-by-step explanation:
45-45-90 triangles always have the same relationships
leg = x, hypotenuse = x√2
If you have the leg length multiply it by √2 to get the hypotenuse
hypotenuse = x, Leg = x/√2
If you have the hypotenuse length divide it by √2 to get the leg
-----------------------
7)
leg = 3√2 / 2
hyp = 3√2 / 2 * √2 = 3
8)
leg = 5√2
hyp = 5√2 *√2 = 10
9)
hyp = 2
leg = 2 / √2 = √2
10)
leg = 13√2 / 2
hyp = 13√2 / 2 * √2 = 13
11)
leg = 3√3
hyp = 3√3 * √2 = 3√6
12)
leg = 12
hyp = 12√2
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 10% off. Is this equal to a 20% discount
Answer: It's not equal to 20% discount.
Step-by-step explanation:
Let's assume the cost of a good is $100. Since there's 10% off on every item, the cost of the good will be:
= $100 - (10% × $100)
= $100 - $10
= $90
Since the coupon states that one will receive an additional 10% off, therefore the amount that the person will pay will be:
= $90 - (10% × $90)
= $90 - (0.1 × $90)
= $90 - $9
= $81
If the same good is $100 and there's a 20% discount, the amount that'll be paid will be:
= $100 - (20% × $100)
= $100 - (0.2 × $100)
= $100 - $20
= $80
Therefore, it's not equal to 20% discount.
If 8,a,b,27 are in geometric sequence, find the value of a and b.
Answer:
a = 12 and b = 18
Step-by-step explanation:
Given that,
8,a,b,27 are in geometric sequence.
For a GP, the nth term is given by :
[tex]a_n=ar^{n-1}[/tex]
Put n = 4
[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5[/tex]
Put n = 2,
[tex]a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12[/tex]
Put n = 3
[tex]a_3=ar^2\\\\=8\times 1.5^2\\\\b =18[/tex]
So, the values of a and b is 12 and 18 respectively.
(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 16 specimens of a particular species, 7 resprout after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire.
Answer:
The answer is "[tex]0.45 \pm 0.18204[/tex]"
Step-by-step explanation:
For the +4 sample proportion[tex]= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45[/tex]
Sample percentage measurements estimated stdev
[tex]= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111[/tex]
Calculating the critical z for a=0.1, two-tailed = 1.64
Calculating the confidence interval:
[tex]= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204[/tex]
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21
Answer:
the correct answer is option B
Please help due tomorrow
Answer:
Here's What you do:
Draw a line that comes straight through the middleIt has to create 4 - 90° angles (use a protractor to measure)There's a picture attached on how a perpendicular lines should look like.
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
Round your answer to the nearest hundredth.
pls help :((
Answer:
Angle B = 29.74
Step-by-step explanation:
Tan(x)=opp/adj
Tan(x)=4/7
x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]
x=29.74
HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
inches. You measure the diagonal and it is 17 inches Is the frame rectangular? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???
Does it matter what the diagonals are etc?
if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.
Mars is on average 2.25 x 108 miles away from Earth. The moon is on average 2.388 x 105 miles away from Earth. Approximately how many times
farther is Mars from Earth than the moon is ?
A.0.94 times
B.9.4 times
C.94 times
D.940 times
Answer:
I believe the answer is D
Step-by-step explanation:
Mars is approximately 940 times farther away from Earth than the Moon.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
Mars is on average 2.25 x 10⁸ miles away from Earth.
The moon is on average 2.388 x 10⁵ miles away from Earth.
To calculate the answer, we need to divide the distance from Mars to Earth by the distance from the Moon to Earth. This gives us:
2.25 x 10⁸ miles / 2.388 x 10⁵ miles = 942.42
Rounded to the nearest whole number, this means that Mars is approximately 940 times farther away from Earth than the Moon is.
Therefore, the answer is D) 940 times.
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