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Bad White [126]

3 years ago

9

Denise has a business where she prints and sells business cards. Each box sold contains 250 business cards. If Denise sold 93 bo

xes of business cards last month, how many business cards did she print and sell?

1 answer:

mote1985 [20]3 years ago

3 0

Answer:

23,250

Step-by-step explanation:

250 multiplied by 93 will equal to 23,250

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Simplify (6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16).

tatyana61 [14]

Answer:

third choice

Step-by-step explanation:

6x²-3+5x³-4x³+2x²+16

x³+8x²+13

3 0

3 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

The perimeter of a rectangle is 24 inches. Find the dimension If the length of the rectangle is 3 inches more than it’s width.

GuDViN [60]

Answer:

length is 7.5 and width is 4.5

Step-by-step explanation:

Its given that perimeter of the triangle is 24 units.

The condition is that length is 3 units more than the width.

l=w+3;

Formula for perimeter is 2(l+w).

so ,

2(w+w+3)=24,

2w+3=12,

w=4.5,

l=w+3=7.5

Hence for the given conditions length is 7.5 and width is 4.5.

8 0

3 years ago

Can someone help me with this question?

Lana71 [14]

9514 1404 393

Answer:

y = x + 7

Step-by-step explanation:

The line has a "rise" of 1 grid square for each "run" of 1 grid square to the right. (It passes through successive grid intersections.) This means it has a slope of ...

m = slope = "rise"/"run" = 1/1

m = 1

The line crosses the y-axis at y = 7, so the y-intercept is ...

b = 7

Then the slope-intercept form equation is ...

y = mx + b

y = x + 7

7 0

3 years ago

What is the GCF and LCM of 8 and 12

tatiyna

The Greatest Common Factor is 4
(8/2 = 4, 21/2 = 6)
The Lowest Common Multiple is 24
(8x3 = 24, 12x2 = 24)
Hope this helps!

3 0

3 years ago

Read 2 more answers