Complete the pattern: 43,37,31,25,_,_

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

8 0

19, 13
is the two blank answer due to the fact it's minus six each number

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Jessica had 140 to spend on 8 books. After buying them she had 12 dollars. How much did each book cost?

Rashid [163]

Answer:

each book was $16

Step-by-step explanation:

140-12=128 divided by 8 = 16

hope this helps!

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2 years ago

Can someone pleaseeee help if you’re correct I’ll give u brainlist

Effectus [21]

Answer:

The answer is 70 degrees.

Step-by-step explanation:

1. All the angles in a circle add up to 360, and the red square thing in the TVU angle means it's a 90 degree angle.

2. Add 150 plus 50 plus 90 = 290

3. 360 degrees (total) - 290 degrees = 70 degrees! :)

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2 years ago

Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

Darina [25.2K]

Answer:

Given definite integral as a limit of Riemann sums is:

$\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Step-by-step explanation:

Given definite integral is:

$\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}$

Substituting (2) in above

$f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$