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3 years ago

Which expressions are equivalent to the one below? Check all that apply.

Mathematics

1 answer:

Paha777 [63]3 years ago

8 0

Answer:

The answer is C.

Step-by-step explanation:

You have to apply Logarithm Law,

$log( {a}^{n} ) \: ⇒ \: n log(a)$

So for this question :

$log( {10}^{3} ) = 3 log(10)$

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Raheem bought 3 pounds of bananas about how many kilograms did he buy??

ehidna [41]

1 pound ≈ 0.4536 kg.

3 pounds ≈ 3 * 0.4536 ≈ 1.3608 kg

Hence 3 pounds ≈ 1.3608 kg.

6 0

3 years ago

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

3 years ago

The coordinates of point D are (7, 4) and the coordinates of point E are (1, −3) . What is the slope of the line that is perpend

Katarina [22]

The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then
M1× M2 = -1
Thus, the slope of a perpendicular to line DE will be -6/7.

7 0

3 years ago

2/9 of students in a school are in sixth grade.

Triss [41]

There are 42 students in sixth grade.

6 0

3 years ago

Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes e

Alex73 [517]

Answer:

Step-by-step explanation:

560=3s+b

560=3×150+b

b=560-450=110

when s=149,b=560-3×149=560-447=113

s=2,b=560-3×2=560-6=554

s=1,b=560-3×1=557

s=0,b=560-3×o=560

so domain of b={110,113,116,...,554,557,560}

7 0

3 years ago