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3 years ago

8

a factory produces 1000 items a month. they plan to increase the production by 400 items per month for the next 5 years. how man

y will they produce each month

2 answers:

Alex Ar [27]3 years ago

5 0

Answer:They will produce 1400 items per month

Step-by-step explanation:

ludmilkaskok [199]3 years ago

3 0

Answer:

1400

Step-by-step explanation:

1000 + 400 = 1400

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Write the standard form equation of the ellipse shown in the graph, and identify the foci.

vlada-n [284]

Answer option A

From the given graph is a Vertical ellipse

Center of ellipse = (-2,-3)

Vertices are (-2,3) and (-2,-9)

Co vertices are (-6,-3) and (2,-3)

The distance between center and vertices = 6, so a= 6

The distance between center and covertices = 4 , so b= 4

The general equation of vertical ellipse is

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2}=1$

(h,k) is the center

we know center is (-2,-3)

h= -2, k = -3 , a= 6 and b = 4

The standard equation becomes

$\frac{(x+2)^2}{4^2} + \frac{(y+3)^2}{6^2}=1$

$\frac{(x+2)^2}{16} + \frac{(y+3)^2}{36}=1$

Foci are (h,k+c) and (h,k-c)

$c=\sqrt{a^2-b^2}$

Plug in the a=6 and b=4

$c=\sqrt{6^2-4^2}$

$c=\sqrt{20}$

$c=2\sqrt{5}$ , we know h=-2 and k=-3

Foci are $(-2,-3+2\sqrt{5})$ and $(-2,-3-2\sqrt{5})$

Option A is correct

6 0

3 years ago

Need help simplifying this

diamong [38]

The simplified answer is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$ .

<u>Step-by-step explanation:</u>

$$\frac{3 y+2 x}{z+2 x}-\frac{2 y-3 x}{3 x+y}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

To add or subtract denominators of the fraction must be same.

If it is not the same, we must take LCM of the denominators. and so we can add the fractions.

To make the denominator same multiply the 1st term $(\frac{3x+y}{3x+y})$ and 2nd term by $(\frac{z+2x}{z+2x})$

= $\frac{(3 y+2 x)(3 x+y)}{(z+2 x)(3 x+y)}-\frac{(2 y-3 x)(z+2 x)}{(3 x+y)(z+2 x)}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

LCM of the denominators is 6x²+ 3xz + 2xy +yz.

Multiply the factors in the numerator.

= $\frac{\left(6 x^{2}+3 y^{2}+11 x y\right)}{(z+2 x)(3 x+y)}-\frac{\left(2 y z+4 x y-3 x z-6 x^{2}\right)}{(3 x+y)(z+2 x)}-\frac{2 z y+6 x z}{6 x^{2}+3 x z+2 x y+y z}$

Now, the denominators are same, you can subtract it.

= $\frac{\left(6 x^{2}+6 x^{2}+11 x y-4 x y-2 y z-2 y z+3 x z-6 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

= $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

Thus the simplified solution is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

4 0

3 years ago

What is the midpoint of line AC

pishuonlain [190]

Answer:

N/A

Step-by-step explanation:

What is line AC, was there supposed to be a picture?

4 0

3 years ago

3. Ahmed wants to buy a new carpet for his house. The cost of the carpet is $240. One day the carpet shop has a special offer of

Mamont248 [21]

Answer:

After using the offer the carpet would cost Ahmed $180.

Step-by-step explanation:

Given:

Cost of the carpet = $240

Discount percent = 25%

We need to find the cost of the carpet after discount.

Solution:

First we will find the Discount cost.

Now we know that;

Discount cost is equal to Discount percent multiplied by Cost of the carpet divided by 100.

framing in equation form we get;

Discount cost = $\frac{25}{100}\times 240 = \$60$

Now we will find the Cost of the carpet after discount.

Now we know that;

Cost of the carpet after discount is equal to Cost of the carpet minus Discount cost.

framing in equation form we get;

Cost of the carpet after discount = $\$240-\$60= \$180$

Hence After using the offer the carpet would cost Ahmed $180.

6 0

3 years ago

Which fractions are equivalent to 1/5?

Anit [1.1K]

Answer:

2/10&20/100

Step-by-step explanation

hope it helps

please mark brainliest

5 0

2 years ago

Read 2 more answers