Answers
Answer:
4095
Step-by-step explanation:
3(4⁰) + 3(4¹) + 3(4²) + 3(4³) + 3(4⁴) + 3(4⁵)
3(4⁰ + 4¹ + 4² + 4³ + 4⁴ + 4⁵)
3(1 + 4 + 16 + 64 + 256 + 1024)
3 * 1365 = 4095
Answer:
4095
Step-by-step explanation:
3(4ⁿ⁻¹),
r= 4,
n=6
S₆=?
------------
3*(4⁰+4¹+4²+4³+4⁴+4⁵)= 3*(4⁶-1)/(4-1)= 4095
Related Questions
Evaluate the function rule for the given value y=12•3x for x=-2
Answers
Answer:
-72
Step-by-step explanation:
We just have to plug in -2 for x so the answer is 12 * 3 * (-2) = -72.
My question is probably obvious but I don't know it. What is the z axis
Answers
Answer:
z-Axis. The axis in three-dimensional Cartesian coordinates which is usually oriented vertically. Cylindrical coordinates are defined such that the -axis is the axis about which the azimuth coordinate. is measured.
Step-by-step explanation:
Please answer this correctly
Answers
Answer:
80%
Step-by-step explanation:
The numbers 5 or even are 4, 5, 6, and 8.
4 numbers out of 5.
4/5 = 0.8
Convert to percentage.
0.8 × 100 = 80
P(5 or even) = 80%
Answer:
80% chance
Step-by-step explanation:
There are 4 numbers that fit the rule, 4, 5, 6, and 8. There is a 4/5 chance spinning one of those numbers or 80% chance.
Huixian needs to pack 172 pens,63 pencils and 27 erasers into identical gift bags so that each item is equally distributed among the gift bags. Find (i):- The largest number of gift bags that can be packed, (ii):- The number of each item in a gift bag
Answers
Answer:
1 bag172 pens, 63 pencils, 27 erasersStep-by-step explanation:
The numbers 27 and 63 have a greatest common factor of 9, but that is not a factor of 172. The greatest common factor of all three numbers is 1, so ...
(i) the largest number of gift bags that can be packed is 1
(ii) in each bag will be 172 pens, 63 pencils, and 27 erasers.
ABCD is a kite.
B
O
y = [?]
A 40°
C
Х
Enter the number
that belongs in
the green box.
D
Answers
Answer:
50°
Step-by-step explanation:
ABCD is a kite.
Therefore, AB = BC
[tex]\therefore m\angle BCA= m\angle BAC = 40\degree \\
\because BD \perp AC.. (Diagonals \: of\: kite) \\
\therefore y + 90\degree + m\angle BCA = 180\degree \\
\therefore y + 90\degree + 40\degree = 180\degree \\
\therefore y = 180\degree - 130\degree \\
\huge\red {\boxed {y = 50\degree}} [/tex]
Alice tossed a coin 100 times. In this experiment she recorded 53 heads and 47 tails. She
concluded that the probability of getting a head in a random toss is 53/100 = 0.53 and
getting a tail is 47/100 = 0.47.
Mark assumed that the coin is fair and so he concluded that the probabilities of getting a
head or a tail are the same, namely y2 = 0.5.
In determining the probabilities,
Alice used theoretical probability and Mark used empirical probability
A.
B. Both of them used theoreticall probability.
C. Both of them used empirical probability.
Alice used empirical probability and Mark used theoretical probability
D.
Answers
Answer:
D. Alice used empirical probability, Mark used theoretical probability.
Step-by-step explanation:
Alice used empirical probability because she actually flipped the coin 100 times but Mark assumed the coin was fair and didn't actually test it, using theoretical probability.
the intersection of the two legs of the right triangle and the red segment is the _________ of the triangle shown
Answers
Answer:
b median
Step-by-step explanation:
Answer:
orthocenter
Step-by-step explanation:
The red segment is an altitude of the triangle, as are the two legs. The intersection point of the altitudes is the orthocenter.
__
This is basically a vocabulary question.
altitude - the perpendicular segment from a vertex to the opposite side (or its extension)median - the segment joining a vertex with the midpoint of the opposite sidecentroid - the point where medians meetorthocenter - the point where altitudes meetA multiple-choice test has 30 questions and each one has five possible answers, of which only one is correct. If all answers were guesses, find the probability of getting exactly four correct answers.
Answers
Answer: the probability is 0.13
Step-by-step explanation:
First, each question has 5 options and only one is correct.
Then, selecting at random, the probability of getting a correct answer is equal to:
p = 1/5 = 0.20 (and the probability of getting it incorrect is p = 4/5 = 0.80)
Now, if out of 30 questions, we got 4 correct and 26 incorrect, the probability for a given combination is;
p = (0.20^4)*(0.80^26)
But we also need to multiply this by the total number of combinations.
This is we have 30 questions in total, and we can select 4 of them that will be the correct ones.
Now, if we have N objects in total, the number of different combinations of K elements out of those N elements is
[tex]C = \frac{N!}{(N-K)!*K!}[/tex]
In this case, N = 30 and K = 4.
[tex]C = \frac{30!}{(30 -4)!*4!} = \frac{30*29*28*27}{4*3*2} = 27,405[/tex]
Then the probability of getting exactly 4 correct answers is:
P = (0.20^4)*(0.80^26)*27,405 = 0.13
Bikram spends Rs 5400 every month which is 60% of his monthly income what is his monthly income?
Answers
Answer:
324000000000000000000000
Answer:
His monthly income is 9000 Rs
What is the probability of getting 3 heads if 6 unbiased coins are tossed simultaneously?
Answers
Answer:
i believe it would be 25%
Step-by-step explanation: all have a 50% chance of head or tails so all added together and divided to together and divide and you get half of 50.
Explanation:
The chance of getting head is 1/2
And the chances of getting 6 heads from 6 coins :
1/2 x 6 = 3
But the chance of getting 3 heads from 6 coin is :
1/2 x 6 divide by 1/2 =
3 divide by 1/2 = 3 x 2/1 = 6
function g can be thought of as a translated (shifted) version of f(x)=|x|
Answers
Answer:
Step-by-step explanation:
If, for example, we translate the graph of f(x) = |x| 3 spaces to the right, then the equation becomes g(x) = |x - 3|
In the figure, ABC is a quarter circle and CDEF is a square.
(a) The length of DF is 38 cm. Find the area of the square CDEF.
(b) Find the area of the shaded parts. Give your answer correct to
2 decimal places.
Answers
Answer:
a). 722 cm²
b). 412.11 cm²
Step-by-step explanation:
ABC is a quarter circle with radius CE,
Area of a quarter circle = [tex]\frac{1}{4}\pi r^{2}[/tex]
Since CDEF is a square, diagonals CE and FD will be equal.
CE ≅ FD ≅ 38cm
(a). Measure of a side of the square CDEF = [tex]\sqrt{\frac{1}{2} (\text {Diagonal})^2}[/tex]
Side = [tex]\sqrt{\frac{(38)^2}{2} }[/tex]
= 26.87
Area of the square CDEF = (Side)²
= (26.87)²
= 722 cm²
b). Area of the shaded part = Area of the quarter circle - Area of the square
Area of the quarter circle = [tex]\frac{1}{4}\pi (38)^{2}[/tex]
= 1134.11495 cm²
Area of the shaded area = 1134.11495 - 722
= 412.11495 cm²
≈ 412.11 cm²
4b • 0.5a 2ab 2a2b 2ab2 2a2b2
Answers
Answer:
(4b)•(0.5a) = (4•0.5)(a)(b) = 2ab
Step-by-step explanation:
Mary is 5 feet tall and Alice is 1.6 meters tall. Who is taller? By how many inches?
Answers
Answer:
Alice
Step-by-step explanation:
5 feet is approximately 1.5 meters so we can say Alice is taller than Mary by 10cm
Answer:
Mary, by 3 inches.
Step-by-step explanation:
Convert the unit to inches.
5 feet = 60 inches
1.6 meters = 63 inches
63 - 60 = 3
Mary is taller than Alice by 3 inches.
The U.S. Department of Agriculture guarantees dairy producers that they will receive at least $1.00 per pound of butter they supply to the market. Below is the current monthly demand and supply schedule for wholesale butter (in millions of pounds per month). Wholesale Butter Market
Price (dollars per pound) Quantity of Butter Demanded Quantity of Butter Supplied
(millions of pounds) (millions of pounds)
$0.80 107 63 0
.90 104 71
1.00 101 79
1.10 98 87
1.20 95 95
1.30 92 103
1.40 89 111
1.50 86 119
1.60 83 127
1.70 80 135
1.80 77 143
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program? 22 million pounds 79 million pounds Zero 11 million pounds Suppose that a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price.
Answers
Answer:
a. In the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.
b. The correct option is zero.
c. See the attached excel file for the new supply schedule.
d. The monthly surplus created by the price support program is 18 million pounds given the new supply of butter.
Step-by-step explanation:
Note: This question is not complete. A complete question is therefore provided in the attached Microsoft word file.
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
At equilibrium, quantity demanded must be equal with the quantity supplied.
In this question, equilibrium occurs at the price of $1.20 per pound and quantity of 95 million pounds.
Therefore, in the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program?
Price floor refers to a government price control on the lowest price that can be charged for a commodity.
It should be noted that for a price floor to be binding, it has to be fixed above the equilibrium price.
Since the price floor of $1 per pound is lower than the equilibrium price of $1.2 per pound, the price floor will therefore not be binding. As a result, the market will still be at the equilibrium point and the monthly surplus created in the wholesale butter market due to the price support (price floor) program will be zero.
Therefore, the correct option is zero.
c. Fill in the new supply schedule given the change in the cost of feeding cows.
Since a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price, this implies that there will be an increase in supply by 40 million at each price.
Note: Find attached the excel file for the new supply schedule.
d. Given the new supply of butter, what is the monthly surplus of butter created by the price support program?
Since the price floor has been fixed at $1 per pound by the price support program, we can observe that the quantity demanded is 101 million pounds and quantity supplied is 119 million pounds at this price floor of $1. The surplus created is then the difference between the quantity demanded and quantity supplied as follows:
Surplus created = Quantity supplied - Quantity demanded = 119 - 101 = 18 million pounds
Therefore, the monthly surplus created by the price support program is 18 million pounds given the new supply of butter.
List price is 45$ if the sales tax rate is 7% how much is the sales tax in dollars
Answers
Answer:
3.15 dollars
Step-by-step explanation:
The sales tax rate is 7% = 0.07
So, we need to multiply the listed price and the sales tax rate.
= 45 * 0.07 = 3.150 (3.15)
Hope this helps and please mark as the brainliest
You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as parents of newborn babies or night-shift workers) record the number of minutes they sleep each night and take a series of motor performance assessments, with 1 minute being the smallest unit on the scale. Suppose the first subject sleeps 180 minutes. Determine the real limits of 180.
Answers
Answer:
179.5 - 180.5
Step-by-step explanation:
Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.
Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.
In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5
Find the surface area of the solid shown or described. If necessary, round to the nearest tenth. A.348m^2 B.484m^2 C.180.7m^2 D.262m^2
Answers
Answer: 484m²
Step-by-step explanation: This is a question on solid shape.
The surface area of a cone is the same thing as the perimeter of the cone ie, the materials required to construct the cone.
Formula for the surface area of the cone = πrl + πr², ( the circular base )
From.the diagram,
r = 7.1m , l = 14.6m, π = 3.142
Now substitute for those values in.the formula above
SA = πrl + πr²
= 3.142 × 7.1 × 14.6 + 3.142 × 7.1²
= 325.6997 + 158.388
= 484.09
Now to the nearest tenth meter,
SA = 484m²
Find m∠1, m∠2, and m∠4 if m∠3=43°27’.
Answers
Answer:
m∠1 = 43°27'
m∠2 = 136°73'
m∠4 = 136°73'
Step-by-step explanation:
∠1 = ∠3 because of Vertical Angles Theorem
180 - ∠1 = ∠2 because of Supplementary angles
∠2 = ∠4 because of Vertical Angles Theorem
(matching type) given f(x)= x+4 and g(x) = 2x + 1 match the expression to its simplication operation
choose
x+4 / 2x+1
Answer 1
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
2x+1 / x+4
Answer 2
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
3x + 5
Answer 3
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
2x + 5
Answer 4
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
-x + 3
Answer 5
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
2x2 + 9x + 12
pa help po
Answers
Answer:
1) [tex]h(x) = \frac{f(x)}{g(x)}[/tex], 2) [tex]h(x) = \frac{g(x)}{f(x)}[/tex], 3) [tex]h(x) = f(x) + g(x)[/tex], 4) [tex]h (x) = f [g (x)][/tex], 5) [tex]h(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
1) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h (x) = \frac{x+4}{2\cdot x + 1}[/tex], then:
[tex]h(x) = \frac{f(x)}{g(x)}[/tex]
2) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = \frac{2\cdot x + 1}{x+4}[/tex], then:
[tex]h(x) = \frac{g(x)}{f(x)}[/tex]
3) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = 3\cdot x + 5[/tex], then:
[tex]h(x) = 3\cdot x + 5[/tex]
[tex]h (x) = (1 + 2)\cdot x + (4+1)[/tex]
[tex]h(x) = x + 2\cdot x + 4 +1[/tex]
[tex]h(x) = (x+4) + (2\cdot x + 1)[/tex]
[tex]h(x) = f(x) + g(x)[/tex]
4) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = 2\cdot x + 5[/tex], then:
[tex]h(x) = 2\cdot x + 5[/tex]
[tex]h(x) = 2\cdot x + 1 + 4[/tex]
[tex]h(x) = (2\cdot x +1)+4[/tex]
[tex]h (x) = f [g (x)][/tex]
5) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = -x + 3[/tex], then:
[tex]h(x) = -x + 3[/tex]
[tex]h(x) = (1 - 2)\cdot x + 4 - 1[/tex]
[tex]h(x) = x - 2\cdot x + 4 - 1[/tex]
[tex]h(x) = x + 4 - (2\cdot x + 1)[/tex]
[tex]h(x) = f(x) - g(x)[/tex]
Suppose you want to accumulate $ 150,000 for your retirement in 30 years. You want
to make a one-time deposit. How much should you deposit into an account with
continuous compounding at an APR of 4.8%? Round your answer to the nearest cent.
Answers
Answer:
$61,500
Step-by-step explanation:
$61,500
x
4.8% (.048)
=
$2952 yearly
x
30 years
=
$88,560
+
Initial Deposit of $61,500
=
$150,060
ASAP Please! Which of the graphs here represent a function?
Answers
Answer:
Hey there!
The top right graph is a function. A function only has one y value for every x value.
Hope this helps :)
An angle measures 84° What is the measure of its supplement?
An angle measures 54°. What is the measure of its complement?
Answers
Answer:
Supplement of 84° is 96°
Complement of 54° is 36°
Step-by-step explanation:
1) A supplementary angle is two angles that add up to 180°
so to find the supplement of 84° ⇒ 180°- 84° = 96°
2) A complementary angle is two angles that add up to 90°
so to find the complement of 54° ⇒ 90°- 54° = 36°
The supplement of angle 84° is 96° and the complement of angle 54° is 36°.
The given angle measures 84°.
We need to find the supplement of the given angle.
What is a supplementary angle?Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.
Let the supplement of 84° be x.
Now, 84°+x=180°
⇒x=180°-84°
⇒x=96°
Complementary angles refer to the pair of angles that always sum up to 90°. These two angles are called complement each other.
Le the complement of an angle 54° be y.
Now, the complement of an angle measures 54° is y+54°=90°.
⇒y=90°-54°=36°
Therefore, the supplement of angle 84° is 96° and the complement of angle 54° is 36°.
To learn more about the supplementary angles visit:
https://brainly.com/question/28312114.
#SPJ2
What is the value for ƒ(x) =
Answers
Answer:
9
Step-by-step explanation:
Put x as 1/2 and evaluate.
3^(2(½) + 1)
3^(1+1)
3²
= 9
If you transform x2+ y2 = 25 into 4x2+ 4y2 = 25, which option below describes the effect of this transformation on the
radius?
It multiplies the radius by 2
It multiplies the radius by 4
It divides the radius by 4
It divides the radius by 2
Answers
Answer:
It divides the radius by 2, which is the last option in your list of possible answers.
Step-by-step explanation:
Recall that the standard equation of a circle of radius R centered at the origin of coordinates is given by:
[tex]x^2+y^2=R^2[/tex]
so when you have the first equation of the circle:
[tex]x^2+y^2=R^2\\x^2+y^2=25\\x^2+y^2=5^2[/tex]
The radius of the circle was 5
Now, when you work with the second equation, we need to divide both sides by 4 in order to get the standard form of the circle and be able to understand what the radius is:
[tex]4x^2+4y^2=25\\x^2+y^2=\frac{25}{4} \\x^2+y^2=(\frac{5}{2})^2[/tex]
So we see that the initial radius 5 is now divided by 2.
The length of a rectangular storage room is 5 feet longer than it’s width. If the area of the room is 66 square feet, find the dimension.
Answers
Answer: 11 ft × 6 ft
Step-by-step explanation: l = w+5. Substitute that value in A = lw and rewrite the equation.
w(w + 5) = 66
w^2 + 5w - 66 = 0 Factor that.
(w -6)(w + 11) =0. Solve for w.
w -6= 0, w = 6 but discard the other -11 as dimensions of real polygons can't be negative
L = w + 5 so L = 6+5
So L=11
how do you get the answer after you have an equation?
Answers
Explain
Now the given angle is
-8 π/ 9
Now we can see that the angle is negative ( given angle) and it is in the third quadrant then find the reference angle we need to add π to it
Reference angle : - 8 π/ 9
9 π -8 π/ 9
Subtract
π/9
C equals 2 pi r; Cequals62.8 (Circumference of a circle)
Answers
Answer:
about 10
Step-by-step explanation:
62.8 = 2 pi r/2
62.8/2 = pi r
31.4/pi = pi r/pi
about 10 = r
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140 coins altogether totaling $7.17. Find the number of nickels in the bank.
Answers
Answer:
Option D is correct.
There are 34 nickels in the piggy bank.
Step-by-step explanation:
A piggy bank contains pennies, nickels and dimes.
Let the number of pennies be p
Let the number of nickels be n
Let the number of dimes be d
Also, note that 1 penny = $0.01
1 nickel = $0.05
1 dime = $0.10
- The number of dimes is 15 more than the number of nickels.
d = 15 + n
- There are 140 coins altogether totaling $7.17.
p + n + d = 140
0.01p + 0.05n + 0.1d = 7.17
Bringing the 3 equations together
d = 15 + n (eqn 1)
p + n + d = 140 (eqn 2)
0.01p + 0.05n + 0.1d = 7.17 (eqn 3)
Substitute (eqn 1) into (eqn 2)
p + n + d = 140
p + n + (15 + n) = 140
p + 2n + 15 = 140
p = 140 - 15 - 2n = 125 - 2n
p = 125 - 2n (eqn 4)
Substitute (eqn 1) and (eqn 4) into (eqn 3)
0.01p + 0.05n + 0.1d = 7.17
0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7
1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17
0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17
0.13n + 2.75 = 7.17
0.13n = 7.17 - 2.75 = 4.42
0.13n = 4.42
n = (4.42/0.13) = 34
d = 15 + n = 15 + 34 = 49
p = 125 -2n = 125 - (2×34) = 125 - 68 = 57
Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.
Hope this Helps!!!
What does csc x cot x (1-cos^2 x) equal
Answers
Answer:
Step-by-step explanation: