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4 years ago

Solve. open parentheses square root of 7 close parentheses to the 6 x power = 49x-6

2 answers:

7 0

The equation is(√7)^6x = 49x - 6
This equation can be solved by iteration.

Rearranging:
x = ( (√7)^6x + 6 )/49

We start with a value of x = 3.
This value can be substituted to the right side and new value of x can be obtained. This new value can be substituted again to the right side of the equation and another new value for x is obtained. This process is repeated until the old and new values of x are the same.

The result is,x = 0.5

Nata [24]4 years ago

3 0

Is this the equation?
$(\sqrt{7^}}) ^6x} = 49 ^{x-6}$

First is to transform the two sides of the equation to have like bases.
$7^{ \frac{6x}{2} } = 7^{2(x-6)}$

Simplifying would result to:
$7^{3x}} = 7^{2x-12}$

Equating the exponents:
3x =2x+12
x= 12

If you would want to solve for x then x=12.

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Help fast please! <3

Gnesinka [82]

Answer:

Step-by-step explanation:

4 0

4 years ago

Can someone help me on these 4 problems. I don't know how to do them

Harman [31]

Question 84:
The given triangle is an isosceles triangle.
We have measure angle 2 = measure angle 3
We are given that angle 1 = 70°
We know that the sum of the interior angles of the triangle is 180.
This means that:
180 = angle 1 + angle 2 + angle 3
180 = 70 + angle 2 + angle 3
angle 2 + angle 3 = 110
Since both angles are equal, therefore:
measure angle 2 = 110/2 = 55°
We are given that:
measure angle 2 = x + 64
This means that:
x + 64 = 55
x = 55 - 64
x = -9

Question 85:
The given triangle is an isosceles triangle.
We have the two base angles are equal.
Since one of them is 30°, this means that the other is also 30°
We know that the sum of the interior angles of the triangle is 180.
This means that:
180 = angle 1 + angle 2 + angle 3
180 = 30 + angle 2 + 30
angle 2 = 120
We are given that:
measure angle 2 = 14x - 6
This means that:
14x - 6 = 120
14x = 126
x = 126/14
x = 9

Question 86:
The given triangle is an isosceles triangle.
We have the two base angles are equal.
Since one of the base angles is 40°
This means that the other one is also 40°
Therefore:
measure angle 2 = 40°
We are given that:
measure angle 2 = 47 + x
This means that:
47 + x = 40
x = 40 - 47
x = -7

Question 87:
The given triangle is an equilateral triangle. This means that all three interior angles are equal and each is measuring 60°.
Therefore:
measure angle 2 = 60°
We are given that:
measure angle 2 = x + 71
This means that:
x + 71 = 60
x = 60 - 71
x = -11

Hope this helps :)

8 0

4 years ago

Helpppppppppppppppppppppp meeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

IceJOKER [234]

Answer:

A (-2, 3)

Step-by-step explanation:

-2-3=-5

-2+3=1

3 0

3 years ago

Read 2 more answers

The second sample was the same size as the first, and the proportion of sales identified as organic was 0.4. How does the 95 per

enot [183]

Answer:

The summer interval is wider and has a greater point of estimate

Step-by-step explanation:

Assuming this problem: "An environmental group wanted to estimate the proportion of fresh produce sales indentified as organic in a grocery store. In the winter, the group obtained a random sample of sales from the store and used the data to construct a 95percent z-interval for a proportion (0.087,0.133). Six months later in the summer, the group obtained a second random sample of sales from the store. The second sample was the same size as the first, and the proportion of sales identified as organic was 0.4. How does the 95 percent z-interval for a proportion constructed from the summer sample compare to the winter interval? "

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

We can find the margin of error from the interval given on this case would be:

$ME= \frac{0.133-0.087}{2}=0.023$

And the point of estimate for the proportion obtained would be:

$\hat p = 0.133-0.023=0.11$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =0.023$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.11(1-0.11)}{(\frac{0.023}{1.96})^2}=710.95$

And rounded up we have that n=711

Now we know that we use the same sample size for the new confidence interval. And replacing into the confidence interval formula we got:

$0.4 - 1.96 \sqrt{\frac{0.4(1-0.4)}{711}}=0.364$

$0.4 + 1.96 \sqrt{\frac{0.4(1-0.4)}{711}}=0.436$

And the new 95% confidence interval would be given (0.364;0.436) has a width of 0.436-0.364=0.072. And the width for the previous confidence interval is 0.133-0.087= 0.046. So then the best answer is:

The summer interval is wider and has a greater point of estimate

7 0

3 years ago

Which of these would be a helpful first step in solving the equation? Check all that apply.

Anuta_ua [19.1K]

I believe it would be A and E. Good luck!!:)

6 0

3 years ago