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4 years ago

PLEASE HELP ME!! WILL GIVE 10 POINTS!!!

Mathematics

2 answers:

frozen [14]4 years ago

6 0

Answer:

A. 206,109

Step-by-step explanation:

The question is= 400,___,___

The question follows the rule - divide by 2, then add 6

so 400 divide by two is 200 then add 6= 206(first answer)

206 divide by two is 103 then add 6= 109(second answer

That makes the answer A that is 206,109

ArbitrLikvidat [17]4 years ago

5 0

Answer:

u have a lot of pattern questions anyway 206, 109

Step-by-step explanation:

Divide:

400/2=200

Add:

200+6=206

REPEAT:

Divide:

206/2=103

Add:

103+6=109

i hope this helps u pls give brainliest and a thx

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Picture above 9th grade math (please include properties and steps) will mark brainly thank you!

Nezavi [6.7K]

Answer:

Adition property of equality and subtraction [reperty of equality.

Step-by-step explanation:

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3 years ago

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and

inn [45]

Complete Question

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.1 and the sample standard deviation was 1.2. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for concluding that true average strength for the WSF/cellulose composite exceeds this value? (Use α = 0.05.)

t=8.169

P-value= ?

Answer:

a) $P-value=0$

b) Hence,We FAil to reject the alternative hypothesis and accept that the true average strength for the WSF/ cellulose composite exceeds 48 MPa.

Step-by-step explanation:

From the question we are told that:

Sample size $n=10$

Mean $\=x= 51.3$

Standard deviation $\sigma=1.2$

Significance level is taken as $\alpha=0.05$

t test statistics

$t=8.169$

Therefore

$P-Value=P(t>8.169)$

Critical point

$t_{\alpha,df}$

$\alpha=0.05$

$df=10-1=>9$

Therefore

P-value from T distribution table

$P-value=0$

Conclusion

$P-value (0)< \alpha(0.05)$

We Reject the Null Hypothesis $H_0$

Hence,We FAil to reject the alternative hypothesis and accept that the true average strength for the WSF/ cellulose composite exceeds 48 MPa.

7 0

3 years ago

Express 125 = 5x as a logarithmic equation.

Marizza181 [45]

Answer: x log[5] = log[125]

Explanation:

The original expression is 125 = 5^x

To express that as a logarithmic equation take logarithms on both sides:

log [125] = [log 5^x]

By the properties of the logartims of powers that is:

log [125] = x log[5]

And that is the equation required.

If you want to solve it, you can do 125 = 5^2, and apply the same property (logarithm of a power) to the left side, yielding to:

log [5^2 ]= x log[5]

=> 2 log[5] = x log[5]

=> 2 = x

3 0

3 years ago

How do you graph this f(x)= -3/2|x|+5 if x≤4

LenaWriter [7]

Answer:

see below

Step-by-step explanation:

I enter the equation into a graphing calculator and let it do the graphing.

___

If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.

Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).

I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).

Of course, you don't plot any function values for x > 4.

8 0

4 years ago

Plz help if possible can you show how you got the answer :)

Troyanec [42]

Answer:

4t(t+3), 5k²(2k-3), 4x²(2x-5), t=0 and t=1/3, y=0 and y=-2, n=0 and n=-7/4

Step-by-step explanation:

To factor these, we can factor out a constant and/or variable. For number 12, these terms have 4t in common (you can divide any term in the expression by 4t and have no remainder), so we can pull that out. This makes 4t(t+3) because if you distributed, you would end up with the same answer. The answer for 12 is 4t(t+3).

For 13, we do the same thing, except with 5k². When we pull this out of the equation, we end up with 5k²(2k-3), which is the factored expression.

For 14, we can take out 4x². This becomes 4x²(2x-5), the factored expression.

For 15, we actually have to solve, so we can take out a t. This is t(3t-1)=0. We can set both terms (one outside the parentheses and the other one inside the parentheses) equal to zero to solve. t=0, 3t-1=0. To solve the second equation for t, you use inverse operations and end up with t=1/3. The answers are 0 and 1/3.

For 16, we have to solve as well, so take out a 5y. 5y(y+2)=0. Solve for y again. 5y=0, y+2=0. y=0, y=-2 are the answers.

For 17, take out a 3n. 3n(7+4n)=0. Solve for n. 3n=0, 7+4n=0. n=0, n=-7/4 are the answers.

3 0

3 years ago