is the expression 3^2/3^3 equivalent to 3^3/3^2

explain.

The correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]

(10 raised to power k = 1 followed by k zeroes)

Let we have to add two fractions as:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find Lowest Common Multiple (LCM) of  [tex]b_1[/tex] and [tex]b_2[/tex]. That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

For this case, we can see from the image that:

Weight shown = 3 pounds + half more pound + half of 1/10 pound more approx. (as the weight hand is approx between 5 and 6 minor ticks after the big 3 pound mark). In each minor mark, one pound is divided in 10 parts, so each minor tick adds up 1/10 of a pound. Half of 1/10 shows that after 5, the hand is not exactly on 6 but sort of in between them, so approximately half.

Thus, weight shown ≈ 3 + 0.5 (half is written 0.5 too) + 1/10 of 0.5 pounds

= 3 + 0.5 + 0.5/10 = 3.5 + 0.05 = 3.55 pounds

Thus, the weight is approx 3.55 pounds.

Converting it to fraction, we get:

[tex]3.55 = \dfrac{355}{100} = \dfrac{5 \times 71}{5 \times 20} = \dfrac{71}{20}[/tex] pounds.

Thus, the correct weight to the nearest 1/8 pound from the considered image is 3.55 pounds. In reduced fraction form, it is 71/20 pounds approx.

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Answer:

G'day. Here is your answer!

Step-by-step explanation:

3 6/16m= 3/38.

2 to 3: lb subintervals:

so each scale: 1/16 lb

Now we observe the pointer. 6 scales after 3 lb = 3 6/16 = 3 3/8 lb.

the answer is C easy the question my question so hard why?

Answer:

i think it is B but put what u think and tell me if u thought B is corrrect though thank u have a great day

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

10/2.5=4

Answer:

0.015625

Step-by-step explanation:

Answer:

(1/64) or 0.015625

Step-by-step explanation:

Pretty simple, you just have to square the numerator and denominator. 1 squared is 1 and 8 squared is 64.

Answer:

16q + 8

Step-by-step explanation:

(7q+7)+(9q+1)

7q + 7 + 9q + 1

16q + 8

Answer:

16q+8

hope this helps :)

Answer:

1/4ab

Step-by-step explanation:

Answer:

I D K A and C but B is 776 and 29 D is 101 and 8 I hope i helped

Step-by-step explanation:

(b) 5x^2+1

5(5)^2+1

25^2+1

775+1

776

x^2+4

5^2+4

25+4 29

(d) 5x^2+1

5(2)^2+1

10^2+1

100+1

101

x^2+4

2^2+4

4+4

8

9514 1404 393

Answer:

  A. (0, 6), (1, 5.5), (2, 5), (3, 4.5), (4, 4), (5, 3.5)

  B. is a function

  C. is a function

Step-by-step explanation:

Both relations are functions.

A relation is NOT a function if the same input value maps to two different output values. Virtually any relation involving time as an input will be single-valued: a measure can only have one value at any given time (ignoring quantum physics).

__

A: If height decreases 1/2 inch per hour, then some ordered pairs could be ...

  (hours, inches) = (0, 6), (1, 5.5), (2, 5), (3, 4.5), (4, 4), (5, 3.5)

For each additional hour, 0.5 inches was subtracted from height.

__

B: There is only one output for each input, so the relation is a function.

__

C: Yes, the relation is still a function. There is still only one output value for each input value.

Step-by-step explanation:

Direction: Opens down

Focus: ( 0,-0.1)

Axis of Symmerty: X=0

Directix: y=0.1

Type [tex]y=-2.5xx^{2}[/tex]  on a algebra calcator and it will show you the graph and the eqaution.

Hope this helps!

Answer:

144 ft^2

Step-by-step explanation:

Here we have a trapezoid with a triangle inside.

The legs of the trapezoid are 18 ft and 8 ft, and so the average length of the trapezoid is (18 + 8)/2 ft, o 13 ft.  The total area of the trapezoid is thus:

A = (13 ft)(16 ft) = 208 ft^2

Now we must find the area of the white triangle and subtract it from the area of the trapezoid already found.  The area formula for a triangle i

A = (1/2)(base)(height), which in this case is A = (1/2)(8 ft)(16 ft), or

A = 64 ft^2.

Subtracting the area of the triangle from that of the trapezoid yields

Area of figure = 144 ft^2

Answer:

ima say $360.correct me if im wrong-^-

Step-by-step explanation:

The total amount of money in Mr. Peralta's savings account is $360.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mr. Peralta had $300 in his savings account in March.

By August, the value of the savings account had increased by 20%.

Let, 'x' be the total amount after an increase of 20%.

So, 120% of $300 is 'x'.

Therefore,

(120/100)×300 = x.

300×1.2 = x.

x = 360.

So, By august total money in his account is $360.

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Answer:

coldest at Broad Peak

warmest at Mount McKinely

Answer:

Coldest: Broad Peak.

Warmest: Mount McKinley.

Step-by-step explanation:

if you look at a timeline it should look kind of like this:

...5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5...

so basically when the negative numbers are "smaller" then the temperature etc. is greater because it is closer to the number 0...

Answer:

126 mi

Step-by-step explanation:

"36 miles in 2 hours" works out to the unit rate 36/2 mph, or 18 mph.

In 7 hours, traveling at this rate, the bus can cover 7(18) mi, or 126 mi.

Answer: 172100.625

Explain: Use calculator

the approximate annual interest rate on the savings account is 7.2%.

Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

Given, Eight years after opening her savings account, Macy had $7,880 in the account which earns annual simple interest.

from the general formula of Simple interest:

Simple interest(SI) = p*r*t/100

where, p = principal amount

r = rate of interest

t = time

in our case

p = 5000,

SI = 7880 - 5000 = 2880

t = 8

Thus,

2880 = 5000 * r *8/100

r = 2880/50*8

r = 7.2%

Thus rate of interest = 7.2%

therefore, the approximate annual interest rate on the savings account is 7.2%.

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Answer:

1. 4 terms

2a. 400 texts

2b. Horizon phone company

Step-by-step explanation:

1. 80 + 4 x 4 = 96

120 - 6 - 6 - 6 - 6 = 96

2a. 55-15=40x10=400

2b. You need 400 texts to eaven out for g mobile.

Solution:  

The description about the graph is:  

Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.  

Part A:  The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.  

If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.

Equation of line passing through two points,[tex](x_{1},y_{1}),(x_{2},y_{2})is, \frac{y-y_{1} }{x-x_{1} } = \frac({y_{2} - y_{1}})({x_{2}-x{1} })[/tex]

Equation of line passing through (12.5,6) and (15,4) is given by

[tex]\frac{y-6}{x-12.5} = \frac{6-4}{12.5-15}[/tex]

[tex]2x-25=-2.5+15[/tex]

[tex]2x+2.5y=40[/tex]

[tex]20x+25y= 400[/tex]

[tex]4x+5y=80[/tex]

Part B: Description of line of best fit  

A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.  

(C) 4 x + 5 y=80  

5 y= - 4 x +80

[tex]y=\frac{-4x}{5}+16[/tex]

Slope [tex]= \frac{-4}{5}[/tex], Y- intercept = 16

Answer:

1. x=-13

2. x=2

Step-by-step explanation:

Answer: 1. F

2. C

3.a

4. E

5. D

6. B

Step-by-step explanation:

Answer:

$17

Step-by-step explanation:

Tip = $8.00

Pizzas cost:

First you have to do 12% of $8.00 which = $0.96

Then you have to add the $0.96 to the $8.00 which = $8.96

Total = $8.00 + $8.96

         = $16.96

then round it to nearest cent which is $17

Answer:

$74.67

Step-by-step explanation:

$8 was 12% of the cost of the pizzas, so we have to add that to the initial cost. The initial cost can be found by (8*100)/12, which would be $66.67. Since we need to find the total amount of money spent, we have to add the initial cost of pizzas and the $8 tip, which is 12% of that. Final answer is $74.67

Answer:

Juan rode more slowly

Step-by-step explanation:

Have a nice day

Answer:

Where is the triangle? At least say the other sides length