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3 years ago

NEED HELP ASAP/WILL MARK BRAINLIEST!!! which number sentence represents 6 times as many as 12?

Mathematics

2 answers:

Verdich [7]3 years ago

6 0

Answer:

12 x 6 =72

Step-by-step explanation:

6 TIMES as many as (*) 12

lys-0071 [83]3 years ago

5 0

The last one. As it is 12 repetitively added 6 times. Have a great life ahead! And also pls mark me brainliest.

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Line AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4). Lines AB and CD are

vlada-n [284]

Answer

Option (A) is correct .

Reason

The formula for the slope.

$Slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

As given

Line AB contains (0, 4) and (1, 6) .

put in the slope formula

$Slope = \frac{6 - 4}{1 - 0}$

$Slope = \frac{2}{1}$

Slope of the AB is 2.

As given

Line CD contains points (2, 10) and (−1, 4).

put in the slope formula

$Slope = \frac{4 - 10}{-1 -2}$

$Slope = \frac{-6}{-3}$

Slope = 2

Slope of the CD is 2.

As the slope of the AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4) is 2 .

Therefore the option (A) is correct i.e the lines are parallel because the slopes are the same.

5 0

3 years ago

Read 2 more answers

The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the x-ax

charle [14.2K]

First, it would be good to know that the area bounded by the curve and the x-axis is convergent to begin with.

$\displaystyle\int_{-\infty}^{\ln\pi}\sin(e^x)\,\mathrm dx$

Let $u=e^x$ , so that $\mathrm dx=\dfrac{\mathrm du}u$ , and the integral is equivalent to

$\displaystyle\int_{u=0}^{u=\pi}\frac{\sin u}u\,\mathrm du$

The integrand is continuous everywhere except $u=0$ , but that's okay because we have $\lim\limits_{u\to0^+}\frac{\sin u}u=1$ . This means the integral is convergent - great! (Moreover, there's a special function designed to handle this sort of integral, aptly named the "sine integral function".)

Now, to compute the volume. Via the disk method, we have a volume given by the integral

$\displaystyle\pi\int_{-\infty}^{\ln\pi}\sin^2(e^x)\,\mathrm dx$

By the same substitution as before, we can write this as

$\displaystyle\pi\int_0^\pi\frac{\sin^2u}u\,\mathrm du$

The half-angle identity for sine allows us to rewrite as

$\displaystyle\pi\int_0^\pi\frac{1-\cos2u}{2u}\,\mathrm du$

and replacing $v=2u$ , $\dfrac{\mathrm dv}2=\mathrm du$ , we have

$\displaystyle\frac\pi2\int_0^{2\pi}\frac{1-\cos v}v\,\mathrm dv$

Like the previous, this require a special function in order to express it in a closed form. You would find that its value is

$\dfrac\pi2(\gamma-\mbox{Ci}(2\pi)+\ln(2\pi))$

where $\gamma$ is the Euler-Mascheroni constant and $\mbox{Ci}$ denotes the cosine integral function.

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4 years ago

Solve the system of equations below.<br> 5.1 – 2y=18<br> 3.x+3y=15

s344n2d4d5 [400]

Answer: y= -6.45 and y=5-x

Step-by-step explanation:

Subtract 5.1 from both sides.

-2y= 18-5.1

Simplify 18- 5.1 to 12.9

-2y=12.9

Divide both sides by -2

y= - 12.9/2

Simplify 12.9/2 to 6.45

y=-6.45

Factor out the common term 3.

3(x+y)=15

Divide both sides by 3.

x+y =15/3

Simplify 15/3 to 5.

x+y = 5

Sub. x from both sides

y= 5-x

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3 years ago

110 freshmen participated in sports or clubs or both. 55 are involved in sports and 68 are involved in clubs. How many students

Varvara68 [4.7K]

Answer: 42

Step-by-step explanation:

Let A represents the number of freshmen participated in sports and B represents the number of freshmen participated in clubs.

Then , we have given that

$n(A)=55\\\\n(B)=68\\\\n(A\cup B)=110$

Using formula

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

We have,

$110=55+68-n(A\cap B)\\\\\Rightarrow\ n(A\cap B)=123-110=13$

Now, the number of students are involved in just sports is given by :-

$n(A)-n(A\cap B)=55-13=42$

Hence, 42 students are involved in just sports.

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3 years ago

What is the equation of the line in slope intercept form?

Sladkaya [172]

Answer:

y=3/5x+3

Step-by-step explanation:

The y-intercept which is the (+3) is taken from where the line crosses the y-axis.

The slop is found from rise over run, in this case, -5 to 0 is positive 5 this would go in the denominator, because we go from solid ground 0 to 3 without crossing another solid point, the numerator is 3.

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3 years ago