3
Which of the following correctly simplifies the expression
? (5 po
6
52
25
9
32
125
53
01) ( )* -
O2) )***
O 3) (?:")* = 2:0 =0
O4) (239)
12
- 0
15
Question 5 (5 points)
Answers
Answer:
Option 1 is correct i.e.
[tex](\frac{2^3\:\textbf{.}\:3^0}{5})^2=\frac{2^6.1^2}{5^2}=\frac{64}{25}[/tex]
Step-by-step explanation:
We need to simplify the expression: [tex](\frac{2^3\:\textbf{.}\:3^0}{5})^2[/tex]
We know that: [tex](a^m)^n= a^{m*n}[/tex] and [tex]a^0=1[/tex]
We would use these exponent laws to solve our question.
First we will apply [tex]a^0=1[/tex]
[tex](\frac{2^3\:\textbf{.}\:3^0}{5})^2\\=(\frac{2^3\:\textbf{.}\:1}{5})^2\\[/tex]
Now, we will apply [tex](a^m)^n= a^{m*n}[/tex]
[tex]=\frac{(2^3)^2\:\textbf{.}\:1^2}{5^2}\\=\frac{2^6\:\textbf{.}\:1}{5^2}\\=\frac{64}{25}[/tex]
So, the result is: [tex]\frac{64}{25}[/tex]
Therefore, Option 1 is correct i.e.
[tex](\frac{2^3\:\textbf{.}\:3^0}{5})^2=\frac{2^6.1^2}{5^2}=\frac{64}{25}[/tex]
Related Questions
Bill's Apparel and Bud's Apparel are two sporting goods retailers. Bill's want to buy 360 small jerseys, 540 medium jerseys, and 300 large jerseys, while Bud's want to buy 240 small jerseys, 600 medium jerseys, and 360 large jerseys. The two dealers from which they are looking to buy their jerseys are Zest Athletics and Zeal Sporting Wear. Zest charges $14 for small jerseys, $18 for medium jerseys, and $21 for large jerseys. Zeal charges $16 for small jerseys, $18 for medium jerseys, and $19 for large jerseys. Use matrix multiplication to find the dealer each retailer should choose for its purchase.
Answers
Answer:
D
Step-by-step explanation:
Doing the math, For Bill's to buy it's clothes from Zest, it would take $21060,
while it would take $21180 from Zeal. So Bill's wants Zest.
Bud's price for Zest is $21720, and for Zeal is $21480. Bud's Wants Zeal.
Bill should purchase from Zest and Bred should purchase from Zeel.
What is matrix multiplication?
Matrix multiplication is a binary operation that creates a matrix from two matrices in mathematics, especially in linear algebra. The first matrix's columns must have the same number of rows as the second matrix's rows in order for matrices to be multiplied.
Bud's Apparel and Bill's Apparel are two stores that sell athletic items. In contrast to Bud, who wants to purchase 240 small jerseys, 600 medium jerseys, and 360 large jerseys, Bill wants to purchase 360 small jerseys, 540 medium jerseys, and 300 large jerseys. They are looking to purchase their jerseys from Zest Athletics and Zeal Sporting Wear, respectively. Small, medium and large jerseys cost $14, $18, and $21, respectively, from Zest. Small, medium and large jerseys cost $16, $18, and $19, respectively, from Zeal. From matrix multiplication.
For bill,
if bill buys from zest: 14* 360 + 18* 540 +21*300 = 21060
if bill buys from zeel: 16*360 + 18* 540 + 19*300 = 21180
Since 21060<21180
thus bill should buy from the zest
For bud
if bud buys from zest: 14* 240 + 18* 600 +21*360 = 21720
if bud buys from zeel: 16*240 + 18* 600 + 19*360 = 21480
Since 21720 > 21480
thus bud should buy from the zeal
Therefore, Bred should buy from Zeel, and Bill should buy from Zest.
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Joey made a deposit into an account that earns 6%
Answers
Problem ID: PRABESEJ
Answers
Answer:
??
Step-by-step explanation:
please help with this question!
Answers
Answer:
x<-3
Step-by-step explanation:
Open circles mean just less than
Solution: x < -73
Write the slope intercept equation of a line that has a slope of -3/5 & y-intercept of (0,-4)
Answers
Answer:
y= -3/5x-4
Step-by-step explanation:
answer for brainly and points thank you
Answers
Answer:
It’s A
Step-by-step explanation:
Used math-way
Answer:
a
Step-by-step explanation:
(1,2) (1,8) (3,6) (4,8) is it a function?
Answers
Answer:
No, because the x value of 1 correlates to two different y values.
Step-by-step explanation:
A function is defined by an x value having exactly one corresponding y value. In this case, the x value of 1 corresponds to both the y values of 2 and 8, therefore invalidating it as a function.
Hope this helps!
Answer:
No, this table is not a function.
Step-by-step explanation:
[tex]x: 1, 1, 3, 4\\y: 2, 8, 6, 8[/tex]
In the x column, you can see two one's [tex](1)[/tex]. Also, in the y column, you can see two eight's [tex](8)[/tex].
Pls help me. 7th grade math
Answers
Answer:
there is a 2/6 chance because there are 2 odd numbers and being spun twice.
Step-by-step explanation:
Answer:
there is a 2/6 chance
Im in 7th grade math lma.o
I need help with 8,9 and 10
Answers
Answer:
Answer 8: D
Answer 9: A
Step-by-step explanation:
8D: 5(12)/4-1=14
9A: Plug in -5(1)+2 = -3, so the point is (1,-3)
Question 10 is not visible
Which line is parallel to y=-4x+3?
Answers
Answer:
Step-by-step explanation:
x = 0
y = -4 (0) + 3
y = 3
(0,3) is a solution.
x-axis is parallel
Does the graph below show a proportional
relationship? Why or why not?
Answers
Answer:
No! This graph is non-linear therefore not proportional.
Step-by-step explanation:
Hope this helps!
~Pumpkin
simplify 5/6 (-2y + 3)
Answers
A n s w e r:
[tex]-\frac{5y}{3} +\frac{5}{2}[/tex]
The simplification of the given expression 5/6 (-2y + 3) is -1.7y + 2.5.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
Given the expression,
⇒ 5/6 (-2y + 3)
⇒ 5/6(-2y) + 5/6(3)
⇒ -2 × 5/6 y + 3 × 5/6
⇒ -5/3 y + 5/2
⇒ -1.7y + 2.5
Hence "The simplification of the given expression 5/6 (-2y + 3) is -1.7y + 2.5".
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find the scale factor between each pair of similar shapes
Answers
Answer:
Step-by-step explanation:
For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor. A scale factor of 2 means that each side of the larger figure is twice as long as its corresponding side is in the smaller figure.
Two cars were at a gas station, a red car and a blue car. The red car filled up with 12 gallons of gas and was able to travel. The blue car filled up with 15 gallons of gas and was able to travel 330 miles. What was the gas mileage of each car? Which car got better gas mileage?
Answers
Answer:
Red Car Gas mileage:
= Distance travelled/ Gas used
= 300/12
= 25 mpg
Blue Car gas mileage:
= 330/15
= 22 mpg
The car with the better mileage is the one that goes further per gallon of gas which is the Red Car.
Austin burns 120 calories per 30 minutes of weight training. How many calories does he burn in 90 minutes?
Answers
Answer:
360 calories
Step-by-step explanation:
360
Answer:
360
Step-by-step explanation:
can you list these measurements from least to greatest. 2.6cm 3cm 2.7cm
Answers
Answer:
3cm, 2.7cm, 2.6cm
Step-by-step explanation:
3 is higher than 2.7 and 2.6
I need help ASAP
which describes the slope of this line
Answers
Una nadadora entrenó todos los días durante 21días. El primer día nadó 15 minutos, y cada día nadaba 5 minutos más que el día anterior. ¿Cuánto tiempo nadó el último día? ¿Y a lo largo de las tres semanas? Expresa los resultados en horas y minutos.
Answers
Responder:
1 hora 55 minutos; 22 horas 45 minutos
Explicación paso a paso:
Dado que:
Tiempo el primer día = 15 minutos
Minutos adicionales cada día siguiente = 5 minutos
Número total de días
Usando la fórmula del enésimo término de una progresión aritmética:
Tn = A + (n - 1) d
A = primer trimestre = 15
d = diferencia común = 5
n = enésimo término
Tiempo de nado el último día (n = 21)
T21 = 15 + (21 - 1) 5
T21 = 15 + 20 * 5
T21 = 15 + 100
T21 = 115 minutos
= 1 hora 55 minutos
SEGUNDO.)
Suma de minutos durante las 3 semanas
Suma de n términos:
Sn = n / 2 * (primer término + último término)
Primer término = 15
Último trimestre = a21 = 115 minutos
n = número de términos = 21
Por lo tanto,
Sn = 21/2 * (15 + 115)
Sn = 10,5 * (130)
Sn = 1365 minutos
= 22 horas 45 minutos
59% of 127 i need the steps btw i am in middle school
Answers
Answer:
74.93
Step-by-step explanation:
59 x 127 /100
= 74.93
Answer:
74.93
Step-by-step explanation:
You just need to take 127 and multiply it by 59%:
127 · 0.59 = 74.93
5. Use the points (4, 10.5) and (8,5.7) to estimate the slope of the line of best fit. Answer choices: 0 83 0.83 -1.2 1.2 1 7
Answers
Answer:
Slope of the line is -1.2
Option B is correct option.
Step-by-step explanation:
We need to find slope of the line with given points (4, 10.5) and (8,5.7)
The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points given are: (4, 10.5) and (8,5.7)
We have [tex]x_1=4,y_1= 10.5x_2=8,y_2=5.7[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5.7-10.5}{8-4}\\Slope=\frac{-4.8}{4}\\Slope=-1.2[/tex]
So, Slope of the line is -1.2
Option B is correct option.
What is 30% of 70? A:9
B:12 C:19 D:21
Answers
Answer:
Step-by-step explanation:
21
Which of these brands have the lowest cost per unit? PLEASE HELP MY FIRST MATH GRADE OF THE QUARTER IS ON THE LINE!
Answers
Answer:
you need a dotted point starting at 3 and going to to the right
Step-by-step explanation:
the dotted point means x < , x > and since it is greater you always go to the right
what is 15 decreased by 4% ?
Answers
Answer:
14.4
Step-by-step explanation:
what is true of the data in the dot plot? Check all that apply.
Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.
Answers
Answer:
True answers
The center is 13
The peak is at 14
It has two clusters
It is skewed left
The person waited for the bus 16 times
Step-by-step explanation:
Edge2021
Answer:
A, C, d, e, g
Step-by-step explanation:
Factor each polynomial
Answers
43. x² - 24x - 81
(x - 27)(x + 3)
44. x² - 48x - 100
(x - 50)(x + 2)
45. x² - 15x - 54
(x - 18)(x + 3)
46. x² - 15x + 54
(x - 9)(x - 6)
A globetrot contains 3 red balls, 2 green balls and 6 blue balls if we choose a ball then another ball without putting the first one back in the globetrot what is the probability that the first ball will be redundant the second ball will be blue?
Answers
Answer:
9/55
Step-by-step explanation:
I don’t like explaining :/ If this is wrong I’m terribly sorry :(
Answer:
Prob = (3 / 11) * (6 / 10) = 18 / 110 = 9 / 55
Step-by-step
The probability that the first is red equals 3/11 (favourable outcomes divided by possible outcomes). Under condition that this occurs the probability that the second is blue equals 6/10. The probability of the described event is then the product of these factors. This according to the rule P(A and B)=P(A)*P(B|A).
here you go sis!
a) Find the value of x.
6 x 6 x 6 x 6 x 6 x 6 x 6 = 6^x
b) Find the values of y.
y2 = 169
Answers
Answer:
a) x = 7
b) y = 13
Step-by-step explanation:
a) 6 multiplied by itself 7 times is the same as writing 6^7
b) The square root of 169 is 13. therefore, 13^2 is 169
A lil help pleaseeeee
Answers
Answer:
13.04 times ten to the power of 6
Step-by-step explanation:
Answer:
hes right
Step-by-step explanation:
Is a square a type of rectangle or is a rectangle a type of square? Explain why or why not?
Answers
Answer:
A square is a rectangle.
Step-by-step explanation:
A square is a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Which means, every square is a rectangle because it is a quadrilateral with all four angles right angles.
Answer:
i think a rectangle is a type of square
Step-by-step explanation:
becuase you can put a square into a rectangle but rectangle cant go into a square, a rectangle is bassicly just an elongated square
In circle G with m \angle FGH= 82m∠FGH=82 and FG=7FG=7 units, find the length of arc FH. Round to the nearest hundredth.
Answers
The arc length of FH from the given circle is 10.1108 square units.
In the given circle, m∠FGH=82° and FG=7 units.
The formula to find the arc length of a circle is θ/360° ×2πr.
Here, θ=82° and r=7 units
Now, arc length = 82°/360° ×2×3.14×7
= 0.23×2×3.14×7
= 10.1108 square units
Therefore, the arc length of FH from the given circle is 10.1108 square units.
Learn more about the arc length here:
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