The expression is simplified to 1 over c raised to the twentieth power. Option C
What are index forms?The index form of a number can be defined as the number written as an exponential expression.
It is expressed as a single number raised to another number.
Another name for index form is standard form or scientific notation.
Index notation is also a way of representing variables or constants multiplied by themselves a number of times.
Example of index forms are:
a²
b³
c²
From the information given, we have to simplify
(c^4)^−5
Using the rule of indices, we have to multiply the powers
c^-20
Thus, the expression is simplified to 1 over c raised to the twentieth power. Option C
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Answer:
1 over c raised to the twentieth power
Step-by-step explanation:
The daily upper limit for vitamin C is 2,000 milligrams. In the morning, Marcelo takes a vitamin containing 500 milligrams of vitamin C. An orange contains 100 milligrams of vitamin C. Let x be the number of oranges Marcelo can eat without reaching the daily limit for vitamin C. Choose the correct inequality.
Answer: He can eat 14 oranges without reaching the daily limit if he already took the vitamin.
Light cell phone company bills on a monthly basis each bill includes a $19.95 service fee for 500 minutes plus a $3.95 communication tax and 15 cents for each minute over 500 minutes the following expression describes the cost of the cell phone service per month : 23.90 + 0.15m if satellite cell phone lowers its
The total cost of the service in the light cell phone company is $24.05.
According to the statement,We have to find that the cost of the cellphone service.
So, For this purpose, we know that the
A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.
From the given information:
Each bill includes a $19.95 service fee for 500 minutes plus a $3.95 communication tax and 15 cents for each minute over 500 minutes.
Then
Total cost become of 500 minutes = service fee + communication tax + Cost per minute
Then
Total cost become of 500 minutes = $19.95 + $3.95 + 15 cents
We know that the 0.15 dollars in 15 cents.
Then
Total cost become of 500 minutes = $19.95 + $3.95 + $0.15
Total cost become of 500 minutes = 24.05.
So, The total cost of the service in the light cell phone company is $24.05.
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Larry Mitchell invested part of his $32,000 advance at 4% annual simple interest and the rest at 6% annual simple interest. If his total yearly interest from both accounts was $1,340, find the amount invested at each rate
The amount invested at each rate is $30,000 at 4%, and $2000 at 6%.
Given that;
Larry Mitchell invested part of his $32,000 advance at 4% annual simple interest and the rest at 6% annual simple interest.
If his total yearly interest from both accounts was $1,340.
To find;
The amount invested at each rate.
Let x is the amount at 4%, therefore the amount at 6% is 32000 - x.
The total interest is:
0.04x + 0.06(32000 - x) = 1320
0.04x - 0.06x + 1920 = 1320
0.02x = 1920 - 1320
0.02x = 600
x = 600/0.02
x = 30,000
The amount at 6% is:
$32,000 - $30,000 = $2000
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done earned 97.50 for 10 hours of work Amy earned $120 for 12 hours of work how much did each person earn per hour how can you use this information to compare their earnings?
Answer:
Done: $9.75 an hour
Amy: $10 an hour
Amy makes more than Done per hour
Step-by-step explanation:
[tex]Done:\\97.50/ 10 = 9.75\\Amy:\\120/12=10\\[/tex]
Which expression is equivalent to 16.8 - 18.6?
A. 18.6 - 16.8
B. -18.6 + (-16.8)
C. 16.8 + (18.6)
D. 16.8 - (-18.6)
The expression is equivalent to 16.8 - 18.6 is 16.8 + (-18.6)
How to determine which expression is equivalent to 16.8 - 18.6?The expression is given as
16.8 - 18.6
The additive inverse property states that:
a - b = a + (-b)
Using the above as a guide, we have the following expression that is equivalent
16.8 - 18.6 = 16.8 + (-18.6)
Hence, the expression is equivalent to 16.8 - 18.6 is 16.8 + (-18.6)
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If two angles are vertical angles, then they are congruent.
Which is the conclusion of the conditional?
OA. Two angles are not vertical angles.
O
O
B. The angles are congruent.
C. The angles are not congruent.
OD. Two angles are vertical angles.
The conclusion of the conditional statement is that; D) The angles are congruent.
What are vertical angles?
Vertical angles are also called opposite angles and they are formed when two lines meet each other at a point.
Now, we are given the conditional statement "If two angles are vertical angles, then they are congruent."
Now, we can say that the conditional statement is always true according to the definition of vertical angles. Thus, we can say that the conclusion of the conditional is that The angles are congruent.
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Can you please help me
Answer:
25 and 6
Step-by-step explanation:
In this circle, 26 of the total area is shaded.
A circle is divided into 6 equal parts with 2 parts shaded. The circle is labeled 2 sixths shaded.
In which circles is the shaded area equivalent to 26 of the total area?
Select each correct answer.
A circle is divided into 3 equal parts with 1 parts shaded. The circle is labeled 1 third shaded.
Image with alt text: A circle is divided into 3 equal parts with 1 parts shaded. The circle is labeled 1 third shaded.
A circle is divided into 5 equal parts with 2 parts shaded. The circle is labeled 2 fifths shaded.
Image with alt text: A circle is divided into 5 equal parts with 2 parts shaded. The circle is labeled 2 fifths shaded.
A circle is divided into 10 equal parts with 4 parts shaded. The circle is labeled 4 tenths shaded.
Image with alt text: A circle is divided into 10 equal parts with 4 parts shaded. The circle is labeled 4 tenths shaded.
A circle is divided into 12 equal parts with 4 parts shaded. The circle is labeled 4 twelfths shaded.
Image with alt text: A circle is divided into 12 equal parts with 4 parts shaded. The circle is labeled 4 twelfths shaded.
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The circles whose shaded area is equivalent to 2/6 of the total area are:
a. The circle which is labeled 1/3 shaded.
b. The circle which is labeled 4/12 shaded.
Given, a circle is 2/6 shaded.
Six equal halves of a circle are separated, two of which are darkened. The circle is marked as shaded by two-sixths.
= 2/6
which means that the fraction can be simplified furthermore.
= 1/3
which means for every 3 parts, one part is shaded.
Therefore, we need to find the circle which has the shaded area equivalent to 2/6 of the total area, that is for every 3 parts of the parts, there should be one part shaded.
a. A circle is divided into 3 equal parts with 1 parts shaded
The circle is labeled 1 third shaded.
= 1/3 which is equivalent to the area of the circle 2/6.
b. A circle is divided into 5 equal parts with 2 parts shaded.
The circle is labeled 2 fifths shaded.
= 2/5 which is not equivalent to 2/6.
c. A circle is divided into 10 equal parts with 4 parts shaded.
The circle is labeled 4 tenths shaded.
= 4/10
= 2/5 which is again not equivalent to 2/6.
d. A circle is divided into 12 equal parts with 4 parts shaded.
The circle is labeled 4 twelfths shaded.
= 4/12
after simplifying it furthermore, we get:
= 1/3 which is equivalent to the area of the circle 2/6.
hence we get the desired results.
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708 dividido en 68 con procedimiento porfa
When the number 708 is divided into 68 then the result would be 10⁷/₁₇.
What is 708 divided by 68?When you divide 708 by 68, the result would be:
= 708 / 68
= 10 with a remainder
To find the remainder:
= 708 - (68 x 10)
= 708 - 680
= 28
This means that 708 divided into 68 is:
= 10²⁸/₆₈
Take this to the simplest form by dividing both the numerator and the denominator by the greatest common factor of 28 and 68 which is 4:
= (28 / 4) / (68 / 4)
= 7 / 17
708 divided into 68 is:
= 10⁷/₁₇
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which number is greater -4.2 or -4.2???. sorry don't have to much points
Trains on two different routes stop at the same train station.
Trains on one route stop there every 9 minutes and trains on the other
route stop there every 6 minutes.
Trains on both routes stop at the train station at midday. How many minutes
later will it be when trains on both routes next stop there at the same time ?
The time when the two trains on both routes next stop there at the same time is ; 18 minutes
How to find the L.C.M?The LCM which means Lowest Common Multiple of two or more numbers is defined as the smallest number among all common multiples of the provided numbers.
Now, we are told that Trains on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes.
Now, to get the time when the two trains on both routes next stop there at the same time, we will find the L.C.M of both times to get;
Factorization of 6 = 2 * 3
Factorization of 9 = 3 * 3
Thus, the L.C.M = 2 * 3 * 3 = 18 minutes
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Which categories does 3.7 belong to?
Answer:
Step-by-step explanation:
what categories are you refferring to so i can help?
• perform operations
on functions.
• perform
.
operations on
functions.
Use f(x) = -4x + 1, g(x)=x²-8x + 21, and h(x) = 19-3x]
1. Find f(-6)
Find h(8)-f(-7)
the graph of the function to answer each part.
on functions.
2.
y = f(x)
f(x)=-4x+1
h(x)=19-3x
Using the concept of function we can solve the question
What is a function?A function can be defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
f(-6) can be found out by substituting x=-6 in f(x)
f(-6)=-4×(-6)+1
f(-6)=24+1
f(-6)=25
The question h(8)-f(-7) can be solved by first finding value of 8 in h(x)
h(8)=19-(3×8)
h(8)=19-24
h(8)=5
Now lets find f(-7)
f(-7)=-4×(-7)+1
f(-7)=28+1
f(-7)=29
Now we can find h(8)-f(-7) by substituting the values of h(8) and f(-7), which was found earlier
h(8)-f(-7)=5-29
h(8)-f(-7)=-24
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The correct question is " f(x)=-4x+1,h(x)=19-3x then find f(-6) and h(8)-f(-7)."
9v2-1=-77 I need help solving this equation.
Given Expression
[tex]9v^2-1=-77[/tex]
Step-By-Step Process.
________________
1. Add 1 to both sides of the equation.
[tex]9v^2-1+1=-77+1[/tex]
________________
2. Simplify.
[tex]9v^2=-76[/tex]
________________
3. Divide both sides by 9.
[tex]\frac{9v^2}{9} =\frac{-76}{9}[/tex]
________________
4. Simplify.
[tex]v^2=-\frac{76}{9}[/tex]
For [tex]x^2=f(a)[/tex] the solutions are [tex]x=\sqrt{f(a),} - \sqrt{f(a)} \\[/tex].
[tex]v=\sqrt{-\frac{76}{9} }, v=-\sqrt{-\frac{76}{9} }[/tex]
_________________
[tex]\sqrt{-\frac{76}{9}}=\frac{2\sqrt{19} }{3}i[/tex]
[tex]-\sqrt{-\frac{76}{9} } =-\frac{2\sqrt{19} }{3}i[/tex]
_________________
Solution:
[tex]v=\frac{2\sqrt{19} }{3}i,v=-\frac{2\sqrt{19} }{3}i[/tex]
Hope this helps!
Enola needs to order some new supplies for the restaurant where she works. The restaurant needs at least 767 spoons. There are currently 263 spoons. If each set on sale contains 12 spoons, use the drop-down menu below to write an inequality representing ss, the number of sets of spoons Enola should buy.
The number of sets of spoons Enola should buy is given by this inequality: ss ≥ 42.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Based on the information provided, the total number of sets of spoons after ss sets are purchased is given by:
T(ss) = 263 + 12ss
The number of sets of spoons needed by the restaurant is given by this inequality:
T(ss) ≥ 767
Substituting the value of T(ss) into the inequality above, we have;
263 + 12ss ≥ 767
12ss ≥ 767 - 263
12ss ≥ 504
ss ≥ 504/12
ss ≥ 42
In conclusion, the number of sets of spoons Enola should buy is 42.
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Eva is saving up to buy a computer.
The computer costs £690
Eva has £429
How much more does Eva need to save?
Answer: £261
Step-by-step explanation: Subtracting 429 from 690 will give you 261 which is the remaining amount needed to purchase the computer.
Linda bought 35 yards of fencing at $4.88 a yard. How much did she spend? $
Answer:
$170.80
Step-by-step explanation:
Since it's $4.88 per yard, you could times that by 35, because she bought 35 yards of fencing.
Equation:
4.88(35)
or
4.88x x=35
I hope this helped! <3
Kosanga lives in San Mateo. He bought an item for $844.29 and when the clerk calculated the sales tax it came out to exactly $88.87287. Round the sales tax to the nearest
The sales tax to the nearest dollars is $89 whereas it is $88.87 to the nearest cents.
How many figures after decimal is cents?The cents is normally expressed to 2 decimal places, in other words, the sales in cents in this case is to express the sales tax amount to 2 figures after the decimal which is $88.87 since the 2 before 7 is insignificant and cannot be rounded to 1 because it is less than 5.
In dollars, the sales tax is $89 because the 8 after the decimal when rounded to 1 and added to 8 gives 9.
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Full question: Kosanga lives in San Mateo. He bought an item for $844.29 and when the clerk calculated the sales tax it came out to exactly $88.87287. Round the sales tax to the nearest:(a) dollars(b) cents
The sales tax when rounded to the nearest dollars is $89 whereas it is $88.87 to the nearest cents.
How many figures after decimal is cents?The cents is normally expressed to 2 decimal places, in other words, the sales in cents in this case is to express the sales tax amount to 2 figures after the decimal which is $88.87 since the 2 before 7 is insignificant and cannot be rounded to 1 because it is less than 5.
In dollars, the sales tax is $89 because the 8 after the decimal when rounded to 1 and added to 8 gives 9.
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Full question:
Kosanga lives in San Mateo. He bought an item for $844.29 and when the clerk calculated the sales tax it came out to exactly $88.87287. Round the sales tax to the nearest:
(a) dollars
(b) cents
sum of the roots lf 4x2+8x+3=0
Roots x1, x2 = -3/2, -1/2; sum of roots -2, product of roots 3/8;
The sum of roots is what?
A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.
based on the information provided;
a detailed explanation:
Sum of roots= -b/a
Sum of roots of the equation
⇒ -8/4 = -2
Product of roots
Product of roots of the equation
⇒ 3/8
Roots of the equation 4x²+8x+3
4x²+8x+3 = (2x+3)(2x+1) = 0
⇒ 2x+3 = 0 ⇒ 2x+1 = 0
⇒ 2x = -3 ⇒ 2x = -1
⇒ x₁ = -3/2 ⇒ x₂ = -1/2
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what is the mode of this?
Answer:
There is no mode for this distribution.
Step-by-step explanation:
The mode is the value that appears most frequently in a data set. If there are no repeating numbers in a given list, there is no mode existing for that particular list.
find the pattern write a rule for the table
Consider the graph given above. Add a new edge so the resulting graph has an Euler path (without repeating an existing edge). ______
Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited. _______
Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited is; G-H-L-K-G-J-I-G
How to find Euler's Path?A quick examination of the given graph tells us that two of the seven vertices (G, I) have an odd number of edges while the other five (F, H, J, K, L) have an even number. Since every vertex must have an even number of attached edges for us to possibly construct an Eulerian circuit, our first step is necessary to add an edge connecting G to I.
A somewhat easy way to now construct an Eulerian circuit would be to take our original graph (i.e. without the G-I edge) and find an Eulerian path from D to H, then end by taking our added D-H edge back to D.
The way to find Fleury's Algorithm, is that;
1) Start with classifying the vertices of the given graph as odd and even. If there are 0 or 2 odd vertices, then continue with the algorithm.
2) Begin with any one of the odd vertices, if they exist, otherwise arbitrarily choose a vertex as the starting point.
3) Travel every edge exactly once such that the bridges in the graph are travelled at the end.
4) Stop when all the edges are travelled.
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STORY:
Fred and Barney are best
friends. Fred is 188 centimeters
tall, and Barney is 157 centimeters
tall. When Barney wears his special hat
it adds 44 centimeters to his height. When Barney wears his special hat , How much taller is he than Fred?
Answer:
13
Step-by-step explanation:
1.) Add up 157 + 44
2.) Subtract the sum of 157 + 44 by 188
Write your answer as a fraction or as a whole or mixed number
2 6/8 + 3 5/8 =
Answer:
6 3/8
Step-by-step explanation:
2 6/8 + 3 5/8
= (2 + 3) + ( 6/8 + 5/8)
= 5 + (6 + 5)/8
= 5 + 11/8
= 5 + 1 3/8
= 6 3/8
Savannah went into a bakery and bought 9 cookies and 3 brownies, costing a total of $18. Serenity went into the same bakery and bought 5 cookies and 2 brownies, costing a total of $10.75. Write a system of equations that could be used to determine the price of each cookie and the price of each brownie. Define the variables that you use to write the system.
9x+3y=18 and 5x+2y=10.75
where x is price of 1 cookie and
y is price of 1 brownie.
steps for writing Systems of Linear Equations from Word Problems:
Understand the problem. Understand all the words used in stating the problem. Translate the problem to an equation. take some variable to represent them.Carry out the plan and solve the problem.Savannah and Serenity were goes to the bakery for purchasing some cookies and brownies .
We have to write a system of linear equations for the given condition .
Let the cost of 1 cookie be $x and
cost of 1 brownie be $y
Savannah bought 9 cookies and 3 brownies at $18
so, linear equation for this situation is
9x+3y=18
Serenity bought 5 cookies and2 brownies at $10.75
so, linear equation for this situation is
5x+2y=10.75
Hence, System of equations for the given situation is
9x+3y=18 and
5x+2y=10.75
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Vijay's family is leaving for Galactic Gardens Resort once his parents get home from work on Friday. Their house is 544 miles from the resort. They plan to stop and spend the night at a hotel after 3 hours of driving, then complete the rest of the trip on the second day. If their average speed is 64 miles per hour, how long will they drive on the second day?
Write your answer as a whole number or a decimal
The time taken by Vijay's family to drive on the second day is 5.5 hours.
What is Distance?
Distance is the total movement of an object without any regard to direction.
Given that;
Vijay's family house is 544 miles from the resort.
Vijay's family plan to stop and spend the night at a hotel after 3 hours of driving.
Average speed = 64 miles per hour.
Now, For 3 hours of driving at an average speed of 64 miles per hour, the distance covered is,
⇒ d = 64 x 3 = 192 miles
And, Remaining distance for the second day is,
⇒ 544 - 192 = 352 miles
Hence, Time taken for distance 352 miles second day is,
T = 352 / 64 = 5.5 hours
So, The time taken by Vijay's family to drive on the second day is 5.5 hours.
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What is the sum of 6 cups and 4 pints?
Answer:
14 us cups
Step-by-step explanation:
Find the product of 4.5 x 1012 and 5.12 x 109. Write the final answer in scientific notation.
The scientific notation of products of 4.5 x 10¹² and 5.12 x 10⁹ will be 2.304 x 10²² .
Given, the product of 4.5 x 10¹² and 5.12 x 10⁹
The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
If a number is written as exponents of 10 and decimal imposed after 1 digit then it is called scientific notation.
Therefore, product of 4.5 x 10¹² and 5.12 x 10⁹ = 4.5 x 10¹² × 5.12 x 10⁹
= (4.5 x 5.12)(10¹² x 10⁹)
= 23.04 x 10²¹
But in scientific notation, we only can put 1 digit before the decimal place.
So, 2.304 x 10²² will be correct.
Hence the scientific notation of products of 4.5 x 10¹² and 5.12 x 10⁹ will be 2.304 x 10²².
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A point is plotted on the number line at 435 . A second point is plotted at −334 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
units
Answer:
769
Step-by-step explanation:
The distance is the positive difference between the coordinates.
[tex]|-334-435| = 769[/tex]
Answer:
-123/40 And If k12 Write Problem-123/40
Step-by-step explanation:
THE 209 ANSWER EXPLANATION:\On the number line distance between 0 and -93 is 94 units and the distance between 0 to 114 is 115 units.Total distance=94+115=209 units.Therefore, the distance between −93 and 114 on a number line is 209 units.The distance between −93 and 114 on a number line is 209 units.to get from 0 to 114 that is 114 numbersthen to get from -93 to 0 which is 93 numbersadd 114 and 93 to get 207Stop get from 0 to 114 that is 114 numbersthen to get from -93 to 0 which is 93 numbersadd 114 and 93 to get 207-123/40 EXPLINATIONWell, Your Dividing,Multiplying, And Subtracting SOOOOO
IT'S KINDA OBVIOUS...
ANSWERS AT THE BOTTOM ALSO!
Help me this is due tomorrow