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hodyreva [135]
2 years ago
8

Are my answers correct

Mathematics
2 answers:
melisa1 [442]2 years ago
7 0
Yes your answers are correct
Wittaler [7]2 years ago
4 0
Yes! They are correct
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What is the rational number between 1/6 and 1/12
soldi70 [24.7K]

7/10 you just get the decimal form of the numbers and find a simple decimal between them, which was 7, and put it over 10 so you get 7/10



3 0
3 years ago
Name a pair of adjacent complementary angles
Art [367]

Step-by-step explanation:

\angle \: ABD = 30 \degree   \\ and \\  \angle \:CBD = 60 \degree \\ are \: a \: pair \: of \: adjacent \: complementary \: \\  angles.

6 0
3 years ago
Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th
Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

r_i=2+\dfrac{8-0}4(i-1)=2i

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i

The area is given approximately by the Riemann sum,

\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i

where \Delta x_i=\frac{8-0}4=2; so the area is approximately

\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}

where we use the formulas,

\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6

6 0
3 years ago
Use the substitution method to solve the system of equations
PilotLPTM [1.2K]

You solve the substitution method to solve a system of equality by expressing one variable in terms of the other using one equation, and then plugging this expression in the other(s).

In this case, the first equation gives us a way to express n in terms of m. So, we can replace every occurrence of n in the second equation with the given formula.

The result is

14m+2n=-8 \iff 14m+2(-7m-4)=-8 \iff 14m-14m-8=-8 \iff -8=-8

So, the second equation turned to be an equality, i.e. an equation where both sides are the same.

This implies that the system has infinitely many solutions, because every couple (n,m) such that n=-7m-4 is a solution to the system, because it satisfies both equations: the first is trivially satisfied, whereas the second is an identity, and as such is satisfied by any value of the variable.

3 0
2 years ago
Thomas earns 15 mowing lawns over 3 days. How much money would he earn in 4 days if he earned the same amount every day
gladu [14]

Answer: 20 Dollars

Step-by-step explanation:

15 divided by 3 is 5. So, then multiply 4x5 and that equals 20

7 0
3 years ago
Read 2 more answers
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