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3 years ago

‏The result of a division problem is the a ) divisor . b ) quotient . c ) factor . d ) remainder .

Mathematics

1 answer:

BabaBlast [244]3 years ago

7 0

Answer:

b) quotient

Step-by-step explanation:

divisor is the number/value you are dividing with.

A remainder is a number that remains after you divide.

A factor is a number that can divide into a number or numbers without leaving a remainder

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If f'(x)=2/x and f(sqrt(e))=5, then f(e)=

docker41 [41]

$f'(x)=\dfrac2x$
$\implies f(x)=\displaystyle\frac2x\,\mathrm dx=2\ln|x|+C$

$f(\sqrt e)=5\implies 5=2\ln|\sqrt e|+C$
$\implies 5=\dfrac22\ln e+C$
$\implies C=4$
$\implies f(x)=2\ln|x|+4$
$\implies f(e)=2\ln|e|+4=6$

3 0

3 years ago

Solve the system of equations.

Ksenya-84 [330]

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

Solve systems of equations

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1] y - x = 20

[2] -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20 2x - 15y = -1

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = x + 20

// Plug this in for variable y in equation [2]

[2] -15•(x +20) + 2x = -1

[2] - 13x = 299

// Solve equation [2] for the variable x

[2] 13x = - 299

[2] x = - 23

// By now we know this much :

y = x+20

x = -23

// Use the x value to solve for y

y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

[1] -x + 4y = -25

[2] 3x - 2y = 30

Graphic Representation of the Equations :

4y - x = -25 -2y + 3x = 30

Solve by Substitution :

// Solve equation [1] for the variable x

[1] x = 4y + 25

// Plug this in for variable x in equation [2]

[2] 3•(4y+25) - 2y = 30

[2] 10y = -45

// Solve equation [2] for the variable y

[2] 10y = - 45

[2] y = - 9/2

// By now we know this much :

x = 4y+25

y = -9/2

// Use the y value to solve for x

x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

3 0

2 years ago

If a puppet requires 3/4 yard of material, how many puppets can be made from 9 yards of material?

klasskru [66]

First find out how many times 3/4 yard goes into 9. 3/4 fits into 9 twelve times, so twelve puppets can be made.

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5 0

3 years ago

Read 2 more answers

denis-greek [22]

Answer:

Part a) $AB=15\ cm$

Part b) $AB=11.1\ cm$

Part c) $AB=3/5\ cm$

Part d) $AB=3s\ cm$

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(5)=15\ cm$

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(3.7)=11.1\ cm$

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(1/5)=3/5\ cm$

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(s)=3s\ cm$

7 0

4 years ago

Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1.

vazorg [7]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=5\\
n=6
\end{cases}
\\\\\\
S_6=-2\left( \cfrac{1-5^6}{1-5} \right)$

8 0

3 years ago

Read 2 more answers