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2 years ago

I needdddddd Help now!

Mathematics

2 answers:

exis [7]2 years ago

4 0

Answer:

29/30

Step-by-step explanation:

Converting 0.66(repeating) to fractions is using the hack of if there is a single repeating digit, put that over 9. So, 0.6666(repeating) is 6/9 or 2/3. Now, 0.3 is 3/10.

Creating a qcd(quick common denominator) we have 20/30+9/30 = 29/30, which cannot be simplified further.

Zolol [24]2 years ago

4 0

Answer:

2/3 + 3/10 = 29/30

Step-by-step explanation:

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Pls help me and explain your answer

azamat

Answer:

Step-by-step explanation:

7 0

3 years ago

Determine the missing y value if the slope of a line is 4/3 and the line passes through the points (5,x) and (2,-3)

Simora [160]

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = $\frac{4}{3}$

Coordinates = (5,x) and (2,-3)

Unknown:

X= ?

Solution:

To find slope, use the expression below;

Slope = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

y₂ = -3 y₁ = x

x₂ = 2 x₁ = 5

$\frac{4}{3}$ = $\frac{-3 - x}{2 - 5}$

3(-3-x) = 4(-3)

-9 -3x = 12

-3x = 21

x = -7

8 0

4 years ago

Please help and write a proper answer I really need it. Thanks.

PolarNik [594]

Answer:The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a cone is S=πr2+πrl, where r is the radius of the base and l is the slant height.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Write and solve an equation for:

geniusboy [140]

Answer:

n = - 12

Step-by-step explanation:

n + 6 = 2n/4

4 (n+6) = 2n

4n + 24 = 2n

4n - 2n = - 24

2n = -24

n = - 24/2

n = - 12

6 0

3 years ago

Prove or disprove (from i=0 to n) sum([2i]^4) <= (4n)^4. If true use induction, else give the smallest value of n that it doe

ddd [48]

Answer:

The statement is true for every n between 0 and 77 and it is false for $n\geq 78$

Step-by-step explanation:

First, observe that, for n=0 and n=1 the statement is true:

For n=0: $\sum^{n}_{i=0} (2i)^4=0 \leq 0=(4n)^4$

For n=1: $\sum^{n}_{i=0} (2i)^4=16 \leq 256=(4n)^4$

From this point we will assume that $n\geq 2$

As we can see, $\sum^{n}_{i=0} (2i)^4=\sum^{n}_{i=0} 16i^4=16\sum^{n}_{i=0} i^4$ and $(4n)^4=256n^4$ . Then,

$\sum^{n}_{i=0} (2i)^4 \leq(4n)^4 \iff \sum^{n}_{i=0} i^4 \leq 16n^4$

Now, we will use the formula for the sum of the first 4th powers:

$\sum^{n}_{i=0} i^4=\frac{n^5}{5} +\frac{n^4}{2} +\frac{n^3}{3}-\frac{n}{30}=\frac{6n^5+15n^4+10n^3-n}{30}$

Therefore:

$\sum^{n}_{i=0} i^4 \leq 16n^4 \iff \frac{6n^5+15n^4+10n^3-n}{30} \leq 16n^4 \\\\ \iff 6n^5+10n^3-n \leq 465n^4 \iff 465n^4-6n^5-10n^3+n\geq 0$

and, because $n \geq 0$ ,

$465n^4-6n^5-10n^3+n\geq 0 \iff n(465n^3-6n^4-10n^2+1)\geq 0 \\\iff 465n^3-6n^4-10n^2+1\geq 0 \iff 465n^3-6n^4-10n^2\geq -1\\\iff n^2(465n-6n^2-10)\geq -1$