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Alex17521 [72]
3 years ago
9

Write 15 cubed in exponential notation expanded form and standard form

Mathematics
2 answers:
Jlenok [28]3 years ago
5 0
Um, 150000? Don't write this inmetily because it may be wrong.
Elodia [21]3 years ago
3 0
15^3   

15*15*15

15(15(15))
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2(x+z) - y x=6 y=8 z=3 need help ASAP PLS
Minchanka [31]

Answer:

10

Step-by-step explanation:

substitute the given values into the expression

2(x + z) - y

= 2(6 + 3) - 8

= 2(9) - 8

= 18 - 8

= 10

7 0
2 years ago
Emily and her family are planning to fly to Italy over the summer. If they fly out from LAX, the distance of the trip will be 6,
Iteru [2.4K]

The speed is the ratio between the distance and the time:

s=\frac{d}{t}

Data:

d=6343miles

t=9h

s=\frac{6343\text{miles}}{9h}=704.77\frac{miles}{h}Then, the plane traveled at a speed of 704.77 miles per hour.

8 0
1 year ago
Use synthetic division to find the result when 3x^3 + 13x^2 + x – 12 is divided by<br> X + 4.
IgorC [24]

Answer:

3x² + x - 3

Step-by-step explanation:

The way I like to do it is to get rid of the x's and just use the numbers in the case of synthetic division

Pretend the square root of the division symbol

-4 √ 3 12 1 -12

Quick note: We're dividing by -4 because we're dividing by x + 4

First bring down the 3

-4 √ 3 13 1 -12

      3

Multiply it by 4 then bring add it to the next number

-4 √ 3 13 1 -12

          -12

       3   1

Add that number to the next one

-4 √ 3 13 1 -12

        -12 -4

      3    1   -3

Finally repeat the step for the last number

-4 √ 3 13 1 -12

       3 -12 -4 +12

       3    1   -3   0

Now take those bottom numbers and add back the x's but with one less power, so the starting x³ would now become x², x² would become x, and so on

3x² + 1x - 3

8 0
2 years ago
What is the overlap of Data Set 1 and Data Set 2?
erastovalidia [21]

Answer: Answer:

There is moderate level of overlap between the two data sets.  

Step-by-step explanation:

Overlap of data sets.

Overlap measures the degree of duplication that exists within data sets.

It is an indicator of the degree to which data are identical.

We are given two data sets in the question.

We have to find the amount of overlap in data set 1 and in data set 2.

There are 8 data points in data set 1 as shown in the image.

There are 8 data points in the data set 2 as shown in the image.

Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.

Thus, we could say there is moderate level of overlap between the two data sets.

3 0
2 years ago
Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125
Savatey [412]

we have that

300 + 150 + 75 +...

Let

a1=300\\ a2=150\\ a3=75

we know that

\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50

\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50

so

a(n+1)=an*0.50

Is a geometric sequence

Find the value of a4

a(4)=a3*0.50

a(4)=75*0.50

a(4)=37.5

Find the value of a5

a(5)=a4*0.50

a(5)=37.5*0.50

a(5)=18.75

Find S5

S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25

therefore

the answer is

581.25

Alternative Method

Applying the formula

S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25

therefore

the answer is

581.25

6 0
3 years ago
Read 2 more answers
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