Which of the following correctly simplifies the expression 2 to the power of 3 multiplied by 3 to the power of 0 whole over 5, the whole squared.? (5 points)
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 1 squared over 5 squared. = 64 over 25.
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 1 squared over 5 cubed. = 32 over 125.
2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 0 over 5 squared. = 0
2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 0 over 5 cubed. = 0
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Answer:
(a) 64/25
Step-by-step explanation:
The relevant properties of exponents are ...
a^0 = 1 . . . . a ≠ 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Your expression simplifies to ...
[tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]
Helppppppp! 15 points!
[tex]{\boxed{\mathcal{\purple{D.\:81}}}}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81[/tex]
Note:-
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
[tex]\sf\red{(-)\:x\:(-)\:=\:+}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
how many liters are there in 11.23 kiloliters?
A. 11.23
B. 112.30
C. 1123
D. 11,230
Answer:
D.11,230
Step-by-step explanation:
11.23 = 1 KILOLITER = 1000 LITERS
11.23*1000
11230
What is the line of the slope below? the first answer gets brainliest. pls help asap
Select all the numbers that are solutions to the inequality 4,5,,6>5,5.2>5,5.01>5,0.5
Plzzz answer I’ll give you 10 points
iii; iv; and v
Step-by-step explanation:
I think
What complex number is represented by the expression 7i5 + 9i8?
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Answer:
9 +7i
Step-by-step explanation:
i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i
Then ...
7i^5 +9i^8 = 7i +9 = 9 +7i
Which statement describes the graph?
Answer:
A
Step-by-step explanation:
The answer is A, the graph raises, crosses at (0, 5) and then remains constant.
In the triangle below, what is the cosine of 45°? Someone please help ASAP
Answer:
B. 1/√2
Step-by-step explanation:
Soh Cah Toa
cos is adjacent over hypotenuse so from either 45° degree angle it is 1/√2
For the given right angle triangle, cos 45 = 1/√2
Hence, option B is correct.
In the given triangle,
Adjacent = 1
Hypotenuse = √2
Since we know,
The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.
For a right angled triangle,
Cosθ = adjacent / hypotenuse
Therefore,
cos 45 = 1/√2
To learn more about trigonometric ratios visit:
https://brainly.com/question/29156330
#SPJ6
Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?
Answer:
probably linear graph 'cause it's in a straight line
Answer:
Step-by-step explanation:
First graph is correct which satisfies the given informations.
The graph is attached below.
Given:
Becky made a graph to show how far she was from her house.
She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.
She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.
Learn more about distance here:
brainly.com/question/5993643
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Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.
Answer:
39
Step-by-step explanation:
Find the value of f(x) at both points
f(3) = 3(3)³ + 1 = 82
f(1) = 3(1)³ + 1 = 4
---------------------------
Average Rate of Change is just like slope
Divide the change in f(x) by the change in x
r = (82 - 4) / (3 - 1)
r = 78/2
r = 39
What is the slope of the line represented by the equation y = -1/2X + 1/4?
If you are multiplying by the vertical method as seen below, what is the value of C?
QUICK QUESTION!
Answer:
option 1
Step-by-step explanation:
[tex]x^2[/tex] [tex]-2x[/tex] [tex]+8[/tex]
[tex]x[/tex] [tex]-4[/tex]
_____________________
[tex]-4x^2[/tex] +8x -32
[tex]x^3[/tex] [tex]-2x^2[/tex] +8x 0
_______________________
[tex]x^3[/tex] [tex]-6x^2[/tex] +16x -32
[tex]A =+ 8x\\\\B = -2x^2\\\\C= +16x[/tex]
Identify the cavity that develops entirely from the mesoderm.
There are 10 students in a class. The teacher chooses 3 students to go to the
library. The order in which they are chosen does not matter. How many ways
are there to choose the students?
A. 100
B. 90
C. 720
D. 120
Answer:
D
Step-by-step explanation:
Since the order does not matter, then it is a combination question,
So you just use the combination technique,
10C3 = 10!/(10!(10-3)!) = 120 ways
Answer: 120
Step-by-step explanation:
i just took the quiz
How many rows of seats are needed to seat 673 people at a concert when the rows seat 37 people each?
Answer:
18.189 rows
Step-by-step explanation:
673 / 37 = 18.189189189
Hope this helps!
Solve for x for this triangle (geometry)
Answer:
[tex]x=60^{\circ}[/tex]
Step-by-step explanation:
The are 180 degrees in a triangle and 180 degrees on a line. Therefore, call the third angle of the triangle [tex]y[/tex].
The following equation solves for [tex]y[/tex]:
[tex]y+119=180,\\y=61^{\circ}[/tex]
Solving for [tex]x[/tex]:
[tex]x+59+61=180,\\x=\boxed{60^{\circ}}[/tex]
The value of p(x) = 5x− 4x + 3 for x = −1 is ________.
Answer:
Step-by-step explanation:
p(-1)=5*-1 -4*-1 +3
=-5-(-4) +3
=-5+4 +3
=-5+7
=2
Answer:
2
Step-by-step explanation:
p(-1)= 5(-1)-4(-1)+3
p(-1)= -5+4+3
p(-1)= 2
Suppose one relatively large value is added to a set of all relatively small data values. Which of the following measures would not be affected (i.e. 10 12 16 12 150 13 - which average technique would not be impacted by the outlier)?
A. the mode.
B. the standard deviation.
C. the range.
D. the mean.
Answer:
A. the mode.
Step-by-step explanation:
Mean
Sum of all values divided by the number of values, so is affected by an outlier present in the data-set.
Standard deviation:
Square root of the sum of the differences squared between each value and the mean, divided by the sample size. As it's related to the mean, it is affected by an outlier.
Range:
Subtraction of the largest value of the data-set by the smallest value, and thus, is also affected by an outlier.
Mode
Value that appears the most often in the data-set, and thus, not affected by an outlier, which means that the correct answer is given by option A.
3a. The distance around a circular track.
Circumference
Area
Answer:
Circumference
Step-by-step explanation:
The Circumference is the the distance around a circular region, it could be imagined as the distance covered by running or walking around the track of a circular athletic stadium. The Area in the other hand is used to describe the entire region enclosed within the circle. For instance the area may be described as the entire pitch region of an athletic stadium, if the circular distance is the Circumference, the enclosed region within the circle is the measure of the Area.
Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.
I really need help ):
Answer:
[tex]a = 5\\\\b = -1\\\\c=1[/tex]
Step-by-step explanation:
Given
[tex]-x+5x^2+1[/tex]
Required
Rewrite and identify a, b and c
The required form is:
[tex]ax^2 + bx + c[/tex]
Equate both expressions
[tex]ax^2 + bx + c = -x+5x^2+1[/tex]
Rewrite as:
[tex]ax^2 + bx + c = 5x^2-x+1[/tex]
Compare the expressions on either sides
[tex]a = 5\\\\b = -1\\\\c=1[/tex]
suppose a charity received a donation of $26.2 million. if this represents 49% of the charity's donated funds, what is the total amount of its donated funds? round your answer to the nearest million
Answer:
53 million.
Step-by-step explanation:
$26.2 / total = 0.49 ($ in millions)
Then total = (26.2) ÷ 0.49 = 53.47 millions which we can round up to 53 million $
I need help solving for x
Answer:
[tex]x=63.0^o[/tex]
Step-by-step explanation:
Given
[tex]RS = 35[/tex]
[tex]RT = 77[/tex]
The attached triangle
Required
Solve for x
The relationship between x, RS and RT is:
[tex]\cos(x) = \frac{RS}{RT}[/tex]
This gives:
[tex]\cos(x) = \frac{35}{77}[/tex]
[tex]\cos(x) = 0.4545[/tex]
Take arc cos of both sides:
[tex]x = \cos^{-1}(0.4545)[/tex]
[tex]x=63.0^o[/tex] --- approximated
5+x^2-7x in standard form
showing ALL calculations, whether this statement is valid
Rammone invests R505 050.00 for three years at a banking institution when
will grow at 5% compound interest per year.
2.2.1
Use a yearly STEP by STEP or a long method and calculate the
interest earned after three years. (Do not use the compound intere
formula.)
Answer:
RM79 608.51
Step-by-step explanation:
First year,
RM505 050.00×5%=RM505 050.00×5/100
=RM25 252.50
second year,
(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100
=RM26 515.13
third year,
(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100
=RM27840.88
three years interest,
RM25 252.50+RM26 515.13+RM27840.88=RM79608.51
I don't know that is R or RM
if it is R ,sorry
Hope can help!
(a)
There are 33 liters of orange juice at a school party. 1010 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
___liters
Enter your answer as a fraction or a mixed number.
(b)
Write a number sentence that represents the problem.
___________ = __________
In the first box write an equation like 1+11+11+1 . In the second box, write your answer.
PLS DON'T FOR GET TO DO PART B TOO I AM BEGING YOU!
Answer:
a) 30.60
b) 1010/33 = 30.60
Step-by-step explanation:
AT YOUR NEW JOB AT THE COFFEE
SHOP, YOU SOLD 42 LARGE
COFFEES AND 54 SMALL COFFEES.
WHAT WAS THE RATIO OF LARGE
TO SMALL COFFEES YOU SOLD?
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Answer:
7 : 9
Step-by-step explanation:
The ratio of interest is ...
large coffees : small coffees = 42 : 54 = 7 : 9
What are the coordinates of point (6,-2) after D o, 1/2
Explanation: Cut each coordinate in half.
In other words, multiply each coordinate by 1/2 = 0.5
6*0.5 = 3
-2*0.5 = -1
The point (6,-2) moves to (3, -1) after the dilation. This trick only works because the origin is the center of dilation.
A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available
Answer:
n = 106
Step-by-step explanation:
Given
p = 0.5 and 1-p = q = 0.5
Margin of error = 0.08
Confidence level = 90%
Z score for 90% confidence level = 1.65
As we know -
Margin of error = z * Sqrt (pq/n)
Substituting the given value, we get –
0.08 = 1.65 * Sqrt (0.5*0.5/n)
Squaring both the sides and solving, we get
n = 1.65^2*0.5^2/0.08^2
n = 106.34 = 106
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
50,20,8
Find the 8th term.
Answer:
.082
Step-by-step explanation:
First find the common ratio
Take the second term and divide by the first term
20/50 = 2/5 = .4
Check with the third term divided by the second term
8/20 = .4
The formula for a geometric sequence is
an = a1 (r) ^(n-1) where a1 is the first term and r is the common ratio
=50 ( .4) ^ (n-1)
We want to find the 8th term
= 50 ( .4)^(8-1)
= 50 ( .4) ^7
=0.08192
Round to the nearest thousandth
= .082
Hope this help!!!
Have a nice day!!!
if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.
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Answer:
7 years
Step-by-step explanation:
The multiplier each quarter is 1 +10%/4 = 1.025. The number of quarters, n, that must pass before the value is multiplied by 2 is given by ...
1.025^n = 2
Taking logarithms, we can solve for n:
n×log(1.025) = log(2)
n = log(2)/log(1.025) ≈ 28.071
It will take 28 quarters, or 7 years, for the value to double.