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3 years ago

What is the least 4 digit number that can be divided by 20 and have a remainder of 5?

1 answer:

5 0

One way is brute force or experiment

20*10=200
20*100=2000
20*50=1000, that is the first 4 digit number
now add 5
1005

the answer is 1005

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X/1.5 = 4*<br> Help me plz

Anna11 [10]

Answer:

x = 6

Step-by-step explanation:

$\frac{x}{1.5} =4\\\\$

We can multiply both sides by 1.5 to isolate x

$x=4*1.5\\x=6$

4 0

2 years ago

Read 2 more answers

Let f(x)=x^4-3x^3+5x-3, f(-2)

BabaBlast [244]

$f(-2)=(-2)^4-3(-2)^3+5(-2)-3
\\f(-2)= 16+24-10-3\\
f(-2)=30-10-3\\
f(-2)=17$

8 0

3 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

HELP RIGHT NOW PIZZZ = FASTEST ANSWER BRAINLIEST AND I WILL THANK U

Nuetrik [128]

Answer:

1) The slope of the function $g(x)$ is $0$ and the slope of the function $f(x)$ is $-1$ .

2) The negative slope of the function $f(x)$ shows that it is the line is increasing and the slope $0$ of the function $g(x)$ shows that the line will always have the same y-coordinate.

3) The slope of the function is $f(x)$ is greater than the slope of the function $g(x)$ .

Step-by-step explanation:

For this exercise you need to know that the slope of any horizontal line is zero ( $m=0$ )

The slope of a line can be found with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

You can observe in the graph of the function $g(x)$ given in the exercise, that this is an horizontal line. Then, you can conclude that its slope is:

$m=0$

The steps to find the slope of the function $f(x)$ shown in the table attached, are the following:

- Choose two points, from the table:

$(0,3)$ and $(4,-1)$

- You can say that:

$y_2=-1\\y_1=3\\\\x_2=4\\x_1=0$

- Substitute values into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ :

$m=\frac{-1-3}{4-0}$

- Finally, evaluating, you get:

$m=\frac{-4}{4}\\\\m=-1$

Therefore:

1) The slope of the function $g(x)$ is $0$ and the slope of the function $f(x)$ is $-1$ .

2) The negative slope of the function $f(x)$ shows that it is the line is increasing and the slope $0$ of the function $g(x)$ shows that the line will always have the same y-coordinate.

3) The slope of the function is $f(x)$ is greater than the slope of the function $g(x)$ .

8 0

3 years ago

ms.kirk drove 164 miles in the morning and 219 miles in the afternoon.estimate the total number of miles she drove that day.

Licemer1 [7]

164+219=383 is exact for estimate round 164 to 165 or 160 and 219 to 220 so
165+220=385 or 160+220=380

3 0

3 years ago

Read 2 more answers