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Makovka662 [10]
2 years ago
12

In Amy's garden the ratio of herbs to plants is 5:2. If there are 40 herb plants, how many vegetable plants are in her garden?

Mathematics
1 answer:
GREYUIT [131]2 years ago
4 0
There are 16 vegetable plants because 40/5 is 8 and 2 times 8 is 16. 5:2=40:16
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In blueprints an architects firm drew everything 1/24 of the actual size the windows will actually measure 4feet by 6 feet and t
stich3 [128]
To apply a scale to a measure, you have to follow this rule:

Real measure x Scale = Scaled measure

So the drawings will have:

4 x 1/24 = 0'167 feet
6 x 1/24 = 0'25 feet
<span>Windows: 0'167 by 0'25 feet
</span>
<span>12 x 1/24 = 0'50 feet
</span><span>8 x 1/24 = 0'33 feet
</span>Doors: 0'33 by <span>0'50 feet</span>
8 0
2 years ago
Read 2 more answers
Define a function sinc(x) (pronounced "sink of x") by: text(sinc)(x)={(sin(x)/x text(if)\ x != 0, 1 text(if)\ x = 0.) (This func
gayaneshka [121]

Answer:

Step-by-step explanation:

To find the Taylor series of sinc(x) we will use the taylor series of sin(x). We have that

\sin(x) = \sum_{n=0}^{\infty}\frac{(-1)^n x^{2n+1}}{(2n+1)!}

which is the taylor series expansion based at 0. Then for x\neq 0, by dividing both sidex by x, we have that

\text{sinc}(x) = \frac{\sin(x)}{x}= \sum_{n=0}^{\infty}\frac{(-1)^n x^{2n}}{(2n+1)!}

which is the taylor series expansion for the sinc function. Since the series of sine converges for every value of x. Then the taylor series of sinc converges for every value of x, but 0.

3 0
2 years ago
The vertices of △ DEF are D (2, 5), E (6, 3), and F (4, 0). Translate △ DEF using the given vector. Graph △ DEF and its image. T
jeyben [28]

Answer:

The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

Step-by-step explanation:

Given the vertices of △ DEF are D (2, 5), E (6, 3), and F (4, 0). We have to translate the triangle using the vector (6, 0)

Now, translation by vector (6, 0)

D (2, 5)=D'(2+6, 5+0)=D'(8, 5)

E (6, 3)=E'(6+6, 3+0)=E'(12, 3)

F (4, 0)=F'(4+6, 0+0)=F'(10,0)

Now, we have to label the coordinate of the triangle or to get image of triangle after translation.

Hence, The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

7 0
2 years ago
In your internship with Lewis, Lee, &amp; Taylor Inc. you have been asked to forecast the firm's additional funds needed (AFN) f
Allushta [10]

Answer:

Option B. -$22,000

Step-by-step explanation:

Last year data :

Sales = $200,000

Profit margin = 20%

Total assets = $120,000

Accounts payable = $50,000

Accruals = $20,000

Sales growth rate = 40%

Calculate total increase in total assets :

Increase in total assets = Total assets × Growth rate

                                       = 120,000  × 40%

                                       = $48,000

Calculate increase in spontaneous liabilities :

Increase in spontaneous liabilities = (50,000 + 20,000)  ×  40%

                                                         = $28,000

Calculate increase in retained dividend :

calculate the increase sales :

        increased sales = 200,000 × (1 + 0.40)

                                   = 280,000

calculate profit margin for next year on increase sales :

      Profit margin on increased sales = 280,000 × 20%

                                                             = $56,000

Calculate retained earning :

       Retained earning = profit - payout of profit

                                     = 56,000 - ( 56,000 × 25% )

                                     = 56,000 - 14,000

                                     = $42,000

Calculate AFN :

AFN = Increase in assets - Increase in liabilities - increase in retained earning

       = 48,000 - 28,000 - 42,000

       = -$22,000

Option B. is the answer.

6 0
2 years ago
Determine the density in g/cm3 of a mineral that has a volume of 3.8 cm3 and a mass of 22.4 g.
kherson [118]

Answer:

5.89 g/cm³

Step-by-step explanation:

givens,

Mass = 22.4 g

volume = 3.8 cm³

Density = mass / volume

= 22.4 / 3.8

= 5.89 g/cm³

4 0
2 years ago
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