Rewrite the following without an exponent. 1/4^-4
Answer:
[tex]\frac{1}{4^{-4}} = 256[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4^{-4}}[/tex]
Required
Write without the exponent
[tex]\frac{1}{4^{-4}}[/tex]
Apply the following law of indices
[tex]\frac{1}{a^m} = a^{-m}[/tex]
So, we have:
[tex]\frac{1}{4^{-4}} = 4^{-(-4)}[/tex]
Evaluate the bracket
[tex]\frac{1}{4^{-4}} = 4^4[/tex]
[tex]\frac{1}{4^{-4}} = 256[/tex]
Triangle JKL has vertices J(6, -1), K(10,-2), and L(5, -3). Determine the
coordinates of the vertices of the image after a translation along (0,4)
and a reflection in the y-axis.
J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.
What is meant by coordinates of the vertices?[tex](x_1,y_1), (x_2,y_2),[/tex] and [tex](x_3,y_3)[/tex] are the coordinates of a triangle's vertices [tex](x_3,y_3)[/tex]. The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.
When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.
First do the first transformation, the translation.
J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).
After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).
We Utilize those new coordinates to do the reflection in the y axis.
J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).
After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).
Those exists the vertices after the transformations.
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J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.
What is meant by coordinates of the vertices?[tex](x_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3})[/tex] are the coordinates of a triangle's vertices . The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.
When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.
First do the first transformation, the translation.
J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).
After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).
We Utilize those new coordinates to do the reflection in the y axis.
J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).
After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).
Those exists the vertices after the transformations.
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Is a student takes out a $750 loan at 4% interest, how much interest is paid back in 60 days
Answer:
754.93 in total with an increase of 4.93
Step-by-step explanation:
Find the area of a regular hexagon with a side length of 10 cm
60 is my resultados of area
Answer
[tex]54 \sqrt{3} [/tex]
Step-by-step explanation:
Each interior angle is 120°for an hexagon.... Bisecting each will give an angle of 60° and thus dividing the hexagon into 6 equilateral triangles as the Bisecting lines meet at the centre of the hexagon. So find area of each equilateral triangle and multiply by 6
Area=
[tex] \frac{1}{2} b \times h \times 6 \\ = 3bh \\ = 3 \times 6 \times 3 \sqrt{3} [/tex]
[tex] = 54 \sqrt{3 } cm ^{2} [/tex]
Show your work please help
The error in the work lies in line 3 where the square root is calculated inaccurately.
What is square root of a number?The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.
The error is in line 3, line 4 and line 5.
The error in line 3 is inaccurate calculation of the value of square root of 4.
The error in line 4 is a mathematical calculation error.
The error in line 5 is a mathematical calculation error.
The correct answer in Line 3 is:
[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]
The correct answer in Line 4 is:
[tex]12\sqrt{5} - 3\sqrt{5}[/tex]
The correct answer in Line 5 is:
[tex]9\sqrt{5}[/tex]
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Two numbers are in the ratio 5 : 7. If they differ by 18 then, find the numbers.
Answer:
45 and 63
Step-by-step explanation:
7x-5x=18
2x=18
2 2
x=9
7(9)=63
5(9)=45
7.89 divided by 2 step by step
Answer:
3.945
Step-by-step explanation:
b) 6q + 4-q + 5 simplify
Answer:
5q + 9
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Jocelyn has a collection of 100 coins. How many coins represent 25% of her collection?
25 coins represent 25 percent of Jocelyn's collection.
What is the percentage?A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.
given, Jocelyn has a collection of 100 coins.
100% of her collection represents = 100 coins
1 % of her collection represents = 100/100 coins
1% of her collection represents = 1 coin
thus,
25% of her collection represents = 1*25 coins
25% of her collection represents = 25 coins
therefore, 25 percent of the collection of Jocelyn represents 25 coins.
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answer fast and correct pls
Answer:
A
Step-by-step explanation:
Sean bakes 18 dozen chocolate cupcakes and 13 dozen vanilla cupcakes. About how many cupcakes did Sean bake? EXPLAIN now!!!
Sean baked 372 cupcakes in total.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Sean bakes 18 dozen chocolate cupcakes,
and 13 dozen vanilla cupcakes.
There are 12 cupcakes in one dozen.
To find the number of cupcakes:
Using multiplication operation,
18 x 12 = 216.
13 x 12 = 156.
The number of cupcakes = number of chocolate cupcakes + number of vanilla cupcakes.
The number of cupcakes = 216 + 156
The number of cupcakes = 372
Therefore, the number of cupcakes are 372.
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The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm
Step-by-step explanation:
The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm
ans.C
Solve for p if L = 2 1/2 ft and W = 3 2/5 ft. P = 2L + 2W
Answer:
P = 59/5
Step-by-step explanation:
There is a 3 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 50 times? (NO LINKS OR FILE PLEASE, I WILL REPORT)
A 3
B 6
C 17
D 8
Answer:
D. 8
Step-by-step explanation:
set up a proportion
3/20 = x/50
to get from 20 to 50 you have to multiply by 2.5
so multiply the top number (3) by 2.5 to find x
this comes out to 7.5 which you then round up to 8
Answer:
D
Step-by-step explanation:
help me pls i ghave the first bit odne
Answer:
1 = 24 degrees
2 = 156 degrees
Step-by-step explanation:
Solve the equation for x:
x - 15 +4x = 180
5x = 195
x = 39
so 1 = (39-15) = 24 degrees
so 2 = (4x39) = 156 degrees
1. Convert the following improper fractions to mixed numbers; a. 55
2
b. 43 3
2. Convert the following mixed numbers to improper fractions; a. 72
5
b. 121 2
[1]
[1]
[1]
7½
7×2+1/2
14+1/2
15/2
212½
12×2+1/2
24+1/2
25/2
Find the reference angle for 342°.
Answer:
18 degree
Step-by-step explanation:
whitch lines are perpendicular??
Answer:
A
Step-by-step explanation:
multiple lines meeting at 90 degrees. hope this helped
State the domain and range of the following function.
Answer:
Step-by-step explanation:
ur STUP1d
What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?
Answer:
y = 1/3x - 7
Step-by-step explanation:
start with the point-slope form:
(y-y1) = m(x-x1)
substitute the values of (x,y) into the formula:
(y-(-5)) = 1/3(x-6)
y+5 = 1/3x - 2
now write in slope-intercept form:
y = 1/3x - 2 - 5
y = 1/3x - 7
A piece of hematite contains 72% iron. If the hematite weighed 160g, how much iron would there be?
Step-by-step explanation:
160g=100%
72%=72/160*100
=45
For an outdoor concert by the city orchestra, concert organizers estimate that 17,000 people will attend if it is not raining. If it is raining, concert organizers estimate that 6000 people will attend. On the day of the concert, meteorologists predict a 70% chance of rain.
Determine the expected number of people who will attend this concert.
It is expected that _ people will attend the concert.
Answer: 11,900
Step-by-step explanation: Uh I think this is correct because 70% of the people who will not go to the concert will be 11,900. So 70% of 17,000 is is 11,900. 6,000 is a estimate. I hope this helps
Find the surface area of the cylinder.
13 m
20 m
Answer:
2695.49 m
Step-by-step explanation:
A = 2πrh + 2πr2
2 · π · 13 · 20 + 2 · π · 132
2695.4865
A doctor gives 10 patients Drug A and 10 patients Drug B and records the differences. Is this an observation, survey, experiment, or simulation?
The given drug experiment is an example of observation.
What are the types of statistical studies worksheet?There are three major types of statistical studies :
observational studiessurveysexperiments.Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.
Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.
Therefore, the given drug experiment is an example of observation.
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Peter is building a ramp at his home. He wants to build it 11 inches high with aa 60 inch base. How long will the ramp be that Peter is building? Round to the 10ths if needed.
Explanation:
You have a right triangle with legs of 11 and 60. The hypotenuse is unknown.
Use the pythagorean theorem to find the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\11^2 + 60^2 = c^2\\\\121 + 3600 = c^2\\\\3721 = c^2\\\\c^2 = 3721\\\\c = \sqrt{3721}\\\\c = 61\\\\[/tex]
The ramp is exactly 61 inches long.
Does the equation y = 5(2.3)* model exponential growth, exponential decay or neither?
Answer:
It models exponential growth
Step-by-step explanation:
Use the formula f(x)=a(1+r)^x where r is the growth rate, a is the principal value, and x is the length of time.
Since r would be equal to 2.3-1=1.3, this means a growth rate of 130%, which means the model models exponential growth since r>1.
A group of 30 people, 12 females and 18 males, are electing 5 representatives.
a. How many ways can the 5 representatives be chosen from the group?
b. How many ways can the 5 representatives be 2 males and 3 females?
c. What is the probability that the representatives end up being 2 males and 3 females if they are randomly selected? Enter your answer as a decimal rounded to the nearest thousandth. (3 decimal places).
Answer:
Total number = 30Number of females = 12Number of males = 18a) Combination of 5 out of 30:
30C5 = 30!/[5!*(30 - 5)!] = 142506b) Combination of 2 males:
18C2 = 18!/[2!*(18 - 2)!] = 153Combination of 3 females:
12C3 = 12!/[3!*(12 - 3)!] = 220The number of ways with 2 males and 3 females:
153*220 = 33660c) Required probability is:
P(2 males and 3 females) = 33660 / 142506 = 0.2365 pizzas cost £35.00. How much do 3 pizzas cost?
Answer:£21.00
Step-by-step explanation:
One pizza: (£35/5) =£7
Three pizza's: (£7x3)=£21
Latoya's Coffee Shop makes a blend that is a mixture of coffee types A and B. In one bag of the blend, there are 6 kilograms of type A. Four bags of the blend are a total of 36 kilograms. How many kilograms of type B are there in one bag?
The Kilograms of type B that are in one bag of the Latoya's Coffee shop blend would be = 3kg
What is a mixture?A mixture is defined as the combination of two or more components which can or cannot be separated by ordinary methods.
The coffee blend of LaToya shop = Type A and B
A bag of the coffee blend = 6kg of Type A.
4 bags of coffee blend = 36kg
Therefore 4 bags of coffee blend contains = 6 see×4 = 24 kg of Type A
Type B in each bag = 36 - 24 = 12/4 = 3kg.
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3)
There are 27 coins in a bag made up of 20-cents and 50-cents. Given that
the total amount in the bag is $10.20, how many 20-cent coins are there in
the bag?
Answer:
A bag contains 25paise, 50 paise and Re 1 coins. There are 220 coins in all and the total amount in the bag is Rs.160. If there are thrice as many 1 Re. coins as there are 25 paise coins, then what is the number of 50 paise coins.
Step-by-step explanation: