Answer:
32x^7y^15
Step-by-step explanation:
x^2(2xy^3)^5
can be simplified by adding up the x and y values.
99 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.
Data Set 2 has a mean of 170.2 and a MAD of 1.7.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 10.
The distributions are different.
The distributions are somewhat similar.
The means-to-MAD ratio is 7.
Answer:
the means to and reroof is 10
the distributions are somewhat similar
Step-by-step explanation:
A number w minus 3 is less than or equals to 10
Answer:
Step-by-step explanation:
A number w minus 3 (w - 3) is less than or equal (≤) to 10
w - 3 ≤ 10
+ 3 + 3
w ≤ 13
Hope this helps!
Help help help ASAP help
Answer:
(8, -2)
Step-by-step explanation:
While reflection over x-axis, the x-coordinate remains the same and the y-coordinate changes to it's opposite.
So,
Rx-axis => = (8, -2)
Which expression is equivalent to 7x2/2x4.62x12, if x # 0?
OA. 26 r22
B. 13.r12/2
O C. 84x10
D. 42x12/2
C
ЖStep-by-step explanationЖ
⇒ [tex]7x^2\sqrt{2x^4}\bullet\ 6\sqrt{2x^1^2}[/tex]
[tex]=7\sqrt{2}x^4\bullet 6\sqrt{2}x^6[/tex]
[tex]=84x^1^0[/tex]
[tex]So\ choose\ C[/tex]
[tex]\{square\ root\ \}.[/tex]
I hope this helps you
:)
Find the simple interest on the loan of $2500 for 2 years at 5%.
$
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
Step-by-step explanation:
simple interest=prt
p=principle amount
r=rate
t=time
here p=$2500
r=5 %=0.05
t=2 years
simple interest=2500×2×0.05=$250
The simple interest on the loan of $2500 for 2 years at 5% is $250
How to determine the value?The formula for calculating simple interest is expressed as;
I = PRT/100
Such that the parameters of the formula are;
P is the principal amountI is the simple interestR is the interest rateT is the timeNow, substitute the values, we get;
Simple interest = 2500 × 5 × 2/100
Multiply the values
Simple interest =25, 000/100
Simple interest =$250
Learn about simple interest at: https://brainly.com/question/25793394
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Find simple interest
Principal=rs 4000
Time :2
rate of interest :10%
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal , T is time and r is interest rate.
So , by the values given
Principal :-rs 4000
Time :-2
rate of interest :- 10%
[tex] \frac{p \times r \times t}{100} [/tex]
[tex] \frac{4000 \times 10 \times 2}{100} [/tex]
[tex] = 800 \: rs[/tex]
The sides of a fair number cube are labeled 1, 2, 3, 4, 5, and 6. What is the theoretical probability that the number cube will land with the number 5 facing up?
Answer:
Probability that the number cube will land with the number 5 facing up
=5/6
Hope this helps, just used my mind
Step-by-step explanation:
Please mark me brainliest if correct
Lana used the two blocks pictured in the diagram to build a tower. What is the total volume, in cubic inches, of the tower Lana built?
Answer:
120
Step-by-step explanation: 4x10x2 +2x5x4 =80+40=120 cubic inches
Answer:
Step-by-step explanation:
One person is selected at random from a class of 15 males and 14 females. Find the odds against selecting
a) a female.
b) a male.
Answer:
48% chance to be female and 52% chance to be male.
Step-by-step explanation:
14 female + 15 males = 29 total people
a) 14 females/29 total = 0.48... * 100 = 48%
b) 15 males/29 total = 0.57.... * 100 = 52%
How could you correctly rewrite the equation 4(10 + 5) = 6 (12 - 2) using the distributive property?
Answer:
40+20 = 72-12 is the simplified version.
Step-by-step explanation:
Your equations
4(10+5) = 6(12-2)
Multiply 4 by 10 and 5 for the "4(10+5)"
Multiply 6 by 12 and -2 for the "6(12-2)"
40+20 = 72-12 is the simplified version.
If you want to solve/verify:
40+20 = 72-12
60 = 60
The nanswer is correct.
Answer:
40 + 20 = 72 - 12
Step-by-step explanation:
The number outside the parenthesis will be multiplied to both numbers inside the parenthesis, making the equation
(4 * 10) + (4 * 5) = (6 * 12) + (6 * (-2))
simplifying the equation...
40 + 20 = 72 - 12
A dress normally costs £35.
The price is reduced by 15% in a sale.
What is the price of the dress in the sale?
Answer:
£29.75.
Step-by-step explanation:
15% = 0.15 as a decimal fraction.
Sale price = 35 - 0.15*35
= £29.75.
What is the area of this figure?
Answer:
cover an area of 404 area
Step-by-step explanation:
23*8+11*20=404(area)
12.44 = 4x what does x =
4 * x = 12.44
4/4 * x = 12.44 / 4
x = 3.11
Answer:
x = 3.11
Step-by-step explanation:
To find the value of 'x', divide both sides of the equation by 4
12.44 = 4x
[tex]\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x[/tex]
Help picture below problem 12
Answer:
78°
Step-by-step explanation:
Angles on a straight line = 180°
AD is the straight line
Angle BFA = 48
Angle CFD = 54
54 + 48 = 102
180 - 102 = 78
Therefore, Angle BFC = 78°
how many terms of the geometric progression 6,12,24,......must be taken to get a sum of 49146
Answer:
13
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
here a = 6 , r = [tex]\frac{12}{6}[/tex] = 2 and [tex]S_{n}[/tex] = 49146 , then
[tex]\frac{6(2^{n}-1) }{2-1}[/tex] = 49146
6([tex]2^{n}[/tex] - 1) = 49146 ( divide both sides by 6 )
[tex]2^{n}[/tex] - 1 = 8191 ( add 1 to both sides )
[tex]2^{n}[/tex] = 8192 ( take log of both sides )
log [tex]2^{n}[/tex] = log 8192 , that is
n log 2 = log 8192 ( divide both sides by log 2 )
n = [tex]\frac{log8192}{log2}[/tex] = 13
[tex]\red{ \underline { \boxed{ \sf{Common \: Ratio,r = \frac{any\:observed\:term}{previous\:term}}}}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf Common \: Ratio,r = \frac{12}{6} [/tex]
[tex]\quad \boxed{\sf {Common \:Ratio,r = 2 }}[/tex]
Now,
[tex]\green{ \underline { \boxed{ \sf{Sum\: of \: G.P. \: to\: n\:term,S_n = \frac{a(r^n-1)}{r-1}}}}}[/tex]
where
a = first termr = common Ration= number of termsPutting Values -
[tex]\begin{gathered}\\\implies\quad \sf 49146 = \frac{6(2^n-1)}{2-1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{49146}}{\cancel{6}} = \frac{2^n-1}{1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 8191= \frac{2^n-1}{1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n-1 =8191 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =8191+1 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =8192 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =2^{13}\quad(8192= 2^{13}) \\\end{gathered} [/tex]
Comparing powers on both sides-
[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ n = 13}}\\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Therefore, to get a sum of 49146 , 13 terms of this G.P. should be taken.
Find the surface area of the cone. Use 3.14 for it.
The surface area is about in.2.
look at the picture ⬇️⬇️⬇️
This value is approximate since pi = 3.14 is approximate.
=======================================================
Work Shown:
r = radius = diameter/2 = 20/2 = 10 inches
L = slant height = 40 inches
SA = surface area of the cone
[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]
The surface area of the cone is approximately 1570 square inches.
We can abbreviate "square inches" into [tex]\text{in}^2[/tex]
If you want to get a more accurate surface area value, then use more decimal digits of pi.
where does leprechaun come from
Answer:
A leprechaun (Irish: leipreachán/luchorpán) is a diminutive supernatural being in Irish folklore, classed by some as a type of solitary fairy. They are usually depicted as little bearded men, wearing a coat and hat, who partake in mischief. In later times, they have been depicted as shoe-makers who have a hidden pot of gold at the end of the rainbow.
Answer:
Step-by-step explanation:
When rounding to the nearest hunderth, which numbers below will round to 187.55? Select all that apply
A)187.556
B)188.454
C)187.548
D)187.553
E)187.550
Answer:
C, D, E,
Step-by-step explanation:
All of these will round to 187.55
A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.
What is the approximate side length of the square?
3.0 units
3.5 units
4.2 units
4.9 units
Step-by-step explanation:
in a square 2 sides with a diagonal creates a right-angled triangle, with the diagonal being the Hypotenuse (the side opposite of the 90° angle).
the diagonal is 3+3 = 6 units long.
let's call the square side length "s".
then we have via Pythagoras
6² = s² + s² = 2s²
36 = 2s²
18 = s²
s = 4.242640687 ≈ 4.2 units
You are considering buying a swimming pool and have narrowed the choices to
two-one that is circular and one that is rectangular. The width of the rectangular pool is three times its depth. Its length is 6 feet more than its width. The circular pool has a diameter that is twice the width of the rectangular pool, and it is 2 feet deeper.
16. Find the ratio of the volume of the circular pool to the volume of the rectangular pool.
17. The volume of the rectangular pool is 2592 cubic feet. How many gallons
of water are needed to fill the circular pool if I gallon is approximately 0.134 cubic foot?
Answer:
245² ft high or something else
In the game of roulette, a player can place a $7 bet on the number 5 and have a 1/38 probability of winning. If the metal ball lands on , the player gets to keep the $7 paid to play the game and the player is awarded an additional $245. Otherwise, the player is awarded nothing and the casino takes the player's $7. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose? Question content area bottom Part 1 The expected value is $ -0.37. the player would expect to lose about $
Answer:
973.68 times
Step-by-step explanation:
Since you would expect to win 1 in 38, the amount of times you will win in 1000 times is 1000 / 38 which is 26.32. therefore you would expect to lose 1000 - 26.32 times which is 973.68
find the e measure of the missing angle. round to 2 decimal places
Answer:
theta= 1.085
Step-by-step explanation:
An archer releases an arrow with an initial velocity of 20 feet per second at a height of 12 feet. The path the arrow takes can be modeled using the function f(x)=−16x^2+20x+12, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. What is the maximum height, in feet, reached by the arrow? Round your answer to the nearest hundredth if necessary. Do not include units in your answer.
Answer:
18.25 feetStep-by-step explanation:
The given function is quadratic.
The maximum of the quadratic function is its vertex.
The x-coordinate is determined by x = - b/(2a)
x = - 20/(-16*2) = 5/8Apply the x-value and find the value of f:
f(x) = - 16(5/8)² + 20(5/8) + 12 = 18.25 feetAnswer:
18.25
Step-by-step explanation:
we are given a quadratic function
[tex] f(x) = - 16 {x}^{2} + 20x + 12[/tex]
where:
f(x) represents the heightx represents the timeTo find the maximum value of f(x) in other words, the maximum height, in feet, reached by the arrow.
Differentiate both sides:
[tex] f'(x) = \dfrac{d}{dx}( - 16 {x}^{2} + 20x + 12)[/tex]
with sum differentiation rule, we acquire:
[tex] \displaystyle f'(x) = \frac{d}{dx}( - 16 {x}^{2} )+ \frac{d}{dx} 20x + \frac{d}{dx} 12[/tex]
recall that,
differentiation of a constant is equal to 0[tex] \dfrac{d}{dx} {x}^{n} = n {x}^{n - 1} [/tex]utilizing the rules we acquire:
[tex] \displaystyle f'(x) = - 32 {x}^{} + 20 [/tex]
now equate f'(x) to 0:
[tex] \displaystyle - 32 {x}^{} + 20 = 0[/tex]
solving the equation for x yields:
[tex]x _{max}= \dfrac{5}{8} [/tex]
plug in the maximum value of x into the quadratic function:
[tex]f(x )_{max}= - 16 {( \frac{5}{8} )}^{2} + 20( \frac{5}{8} ) + 12[/tex]
simplify:
[tex]f(x )_{max} = 18.25[/tex]
hence,
The maximum height reached by the arrow is 18.25 feet
In circle D with m∠CDE = 118 m∠CDE=118 and CD=4 units, find the length of arc CE. Round to the nearest hundredth.
Answer:
CE ≈ 8.24 units
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = 2πr
Your circle has a radius CD of 4 units, so its circumference is ...
C = 2π(4 units) = 8π units
__
The arc of interest is 118°. The whole circle is 360°, so the length of the arc is 118/360 times the circumference of the circle:
CE = (118/360)(8π units) ≈ 8.24 units
A triangular window is above the door to a café. The length of the base of the window is 12 feet, and the height is 10 feet.
What is the area of the window?
Enter your answer in the box.
ft2
Answer:
60 ft²
Step-by-step explanation:
A = 1/2 × b × h
A = 1/2 × 12ft × 10ft
A = 1/2 × 120 ft
A = 60ft²
On the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH
Answer:
*View the attached graph*
Step-by-step explanation:
Hope it helps!
What is 2/5 divided by 5
Answer:
0.08 I hope this is right
Step-by-step explanation:
2/5 = 0.4÷5 = 0.08
Answer:
Step-by-step explanation:
Use KCF method
K - Keep the first fraction
C- change the operation ÷ to multiplication
F - Flip the second fraction
[tex]\textbf{$\dfrac{2}{5} \div 5$}=\dfrac{2}{5}*\dfrac{1}{5}\\\\\\=\dfrac{2}{25}[/tex]
Are the ratios 3:4 and 4:3 equivalent??
Answer:
Those ratios are not equivalent
Step-by-step explanation:
3:4 is not the same as 4:3 because 3:4 means 3 out of 4 but 4:3 means 4 out of 3 which means it is more than one while 3:4 is less than one
Complete or justify each step. 2(2h + 2)2(3h + 5) - 12 Distributive Property 4h + 4 < 6h-2 Simplify (combine like terms). 4h+ 4- 6h 6h-2-6h - 2h + 4<-2 simplify-2h<-6 simplify h>3
Answer:
7[tex]\geq[/tex][tex]\frac{h}{14}[/tex]
Step-by-step explanation:
Mark brainliest
A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows
Answer:
Step-by-step explanation:
1.1 L
Given:
A rectangular container that has:
a length of 30 cm,
a width of 20 cm, and
a height of 24 cm
It is filled with water to a depth of 15 cm.
When an additional 6.5 L of water are poured into the container, some water overflows.
Question:
How many liters of water overflow the container?
The Process:
Step-1: calculate the volume of rectangular container
The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.
Step-2: calculate the volume of water filled in the container to a depth of 15 cm
The volume of water filled is 9,000³ cm, then converted to 9 L.
Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.
The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.
The volume of water overflow =
Thus, the volume of water overflow of the container is 1.1 L.