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3 years ago

What is the value of x

Mathematics

1 answer:

Bess [88]3 years ago

6 0

13x = 12x + 3
x = 3

m<1 = 13x = 13(3) = 39

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Find the ratio of the number of vowels in the word Mississippi to the number of consonants as a fraction in simplest form

Juli2301 [7.4K]

4/11, 4:11, either one.

5 0

3 years ago

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The length of a lacrosse field is 15 yards less than twice the width, and the perimeter in 270 yards. The defensive area of the

sammy [17]

The defensive area is 510 square yards

Step-by-step explanation:

Let L be the length of the rectangle

and

W be the width

According to given statement

L = 2W-15

Perimeter = 270

$P = 2W+2L\\270 = 2W + 2(2W-15)\\270 = 2W + 4W -30\\270 +30 = 6W\\6W = 300$

Dividing both sides by 6

$\frac{6W}{6} =\frac{300}{6}\\W = 50\ yards\\\\and\\L = 2(50) -15\\= 100-15\\=85\ yards$

We have to find the area first to find the defensive area

So,

$Area = L* W\\= 85 * 50\\=4250\ square\ yards$

Defensive area = 3/25 of total area

So,

$=\frac{3}{25}*4250\\=3 *170\\=510\ square\ yards$

Hence,

The defensive area is 510 square yards

Keywords: Area, Rectangle

Learn more about area at:

#LearnwithBrainly

5 0

3 years ago

A)Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity

Colt1911 [192]

Answer:

a) The sequence converges to 0

b) The lenght of the curve is $\frac{1}{54}(217^{3/2}-37^{3/2})$

Step-by-step explanation:

Consider the sequence $a_n = \frac{-6n^6 + \sin^2(7n)}{n^7+11}$

a) We will prove it using the sandwich lemma. Note that for all n $-1\leq \sin^2(7n)\leq 1$ , then

$\frac{-6n^6 -1}{n^7+11}\leq\frac{-6n^6 + \sin^2(7n)}{n^7+11}\leq \frac{-6n^6 + 1}{n^7+11}$

Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that

$0 \leq\frac{-6n^6 + \sin^2(7n)}{n^7+11} \leq 0$

So, the sequence converges to 0.

b) The function $f(x) = 4x^{3/2}+7$ the formula of curve lenght is given by

$s = \int_a^b \sqrt[]{1+(f'(x))^2}dx$

in this case, a=1, b=6

Note that $f'(x) =6x^{{1/2}$ . Then

$s=\int_1^6 \sqrt[]{1+36x}dx$ . Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,

$s=\frac{1}{36}\int_{37}^{217}\sqrt[]{u} du = \frac{2}{36\cdot 3} \left.u^{3/2}\right|_{37}^{217}=\frac{1}{54}(217^{3/2}-37^{3/2})$

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3 years ago

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lord [1]

I wonder the same thing

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3 years ago

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The sum of two numbers is 65 and the difference is 15. what are the the numbers?

KengaRu [80]

Answer:

40 and 25 or 45 and 20. Please mark as brainliest

Step-by-step explanation:

40+25=65

40-25=15

3 0

3 years ago