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3 years ago

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Mary plants roses in 1/4 of her garden. She also plants some tulips in her garden. She has 1 1/2 of the garden left to plant mor

e flowers. What fraction of Mary's garden has tulips?

1 answer:

8_murik_8 [283]3 years ago

3 0

Answer:

Step-by-step explanation:

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Math question #1 please show steps

-Dominant- [34]

Answer:

C

Step-by-step explanation:

An approximation of an integral is given by:

$\displaystyle \int_a^bf(x)\, dx\approx \sum_{k=1}^nf(x_k)\Delta x\text{ where } \Delta x=\frac{b-a}{n}$

First, find Δx. Our a = 2 and b = 8:

$\displaystyle \Delta x=\frac{8-2}{n}=\frac{6}{n}$

The left endpoint is modeled with:

$x_k=a+\Delta x(k-1)$

And the right endpoint is modeled with:

$x_k=a+\Delta xk$

Since we are using a Left Riemann Sum, we will use the first equation.

Our function is:

$f(x)=\cos(x^2)$

Therefore:

$f(x_k)=\cos((a+\Delta x(k-1))^2)$

By substitution:

$\displaystyle f(x_k)=\cos((2+\frac{6}{n}(k-1))^2)$

Putting it all together:

$\displaystyle \int_2^8\cos(x^2)\, dx\approx \sum_{k=1}^{n}\Big(\cos((2+\frac{6}{n}(k-1))^2)\Big)\frac{6}{n}$

Thus, our answer is C.

*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.

5 0

2 years ago

Pam needs 3 1/2 cups of sugar to make 50 cupcakes, a 5-pound bag of sugar costs $3.69. There are about 2 cups of sugar in a poun

Alja [10]

Answer:

$1.70

Step-by-step explanation:

3 0

2 years ago

(y+2x+3)dx+(x- 4y^3 +2)dy 0

denis-greek [22]

Answer:

=dx(y+2x+3)

I hope that helps you

3 0

2 years ago

A printing company charges a fixed rate to set up the printing press, plus a cost of $3.50 for every 100 copies. If 800 copies c

pychu [463]

The answer is $12,052.5. youd divide 800 into 1500 then you multiply the answer you get by 6400 then add (1500/100) x 3.5 to get your answer.

6 0

3 years ago

If the diameter of a circle changes from 5 cm to 15 cm, how will the circumference change? A) multiplies by 1 3 B) multiplies by

andreyandreev [35.5K]

The length of a circumference: l=πD
l₁=π×5=5π
l₂=π×15=15π
Then l₂÷l₁=15π÷5π=3 and the answer is B)

5 0

2 years ago

Read 2 more answers