A square hole 7.50 cm along each side is cut in a sheet of copper. (a) Calculate the change in the area of this hole resulting when the temperature of the sheet is increased by 49.0 K. cm2(b) Does this change represent an increase or a decrease in the area enclosed by the hole

Answer:

p = 0.07

p-hat = 0.035

p0 = 0.07

p-value = 0.003

Step-by-step explanation:

p = population parameter, in this case, the rate of infestations across all trees in the forest

p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard

p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%

p-value = the likelihood any difference between p and p-hat is down to chance

In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;

We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).

Answer:

[tex]\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}[/tex]

Step-by-step explanation:

[tex]g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1[/tex]

[tex]g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}[/tex]

we know that the colony is doubling, namely the rate of growth is 100% of whatever is existent, thus

[tex]\textit{Amount of Population Growth} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ A = 5000e^{1\cdot t}\implies \boxed{A = 5000e^t}[/tex]

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

Answer:

-infinity < x < infinity

Step-by-step explanation:

The function is linear and is infinitely long in either direction.

308

This is the answer

The restaurant will need 28 meters of fencing to enclose their new patio.

Here, we have to calculate the amount of fencing needed to enclose the rectangular patio, we need to find the perimeter of the patio.

The perimeter of a rectangle is the sum of all its sides.

Given:

Width (W) = 8 meters

Length (L) = 6 meters

The formula for the perimeter (P) of a rectangle is:

P = 2 * (Width + Length)

Plug in the values:

P = 2 * (8 meters + 6 meters)

P = 2 * 14 meters

P = 28 meters

So, the restaurant will need 28 meters of fencing to enclose their new patio.

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Answer:

It has been a long time since I was even thinking about this, but I got 33 for the first one and I know how you feel, stay strong, you have a long time until you are finished

Step-by-step explanation:

(this might and probobly is wrong)

Answer:

y=5·3x

Step-by-step explanation:

x=0, y=5:

5=a·b↑0 a=5

x=1, y=15:

15=5·b↑1

b=15/5=3

The equation of the exponential function is y = 5(3)ˣ

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

x: 0, 1, 2, 3

y: 5, 15, 45, 135

We have to find the exponential equation:

The exponential function in the form:

y = a × b ˣ

y value of x as 0 is 5.

This is the a value in the equation.

The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.

Therefore, the equation will become:

y = 5 × 3 ˣ

Hence the equation of the exponential function is y = 5(3)ˣ

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Answer:

parallel

Step-by-step explanation:

maybe I guess it parallel, cause it not perpendicular

Answer:

Step-by-step explanation:

3x - 8y = 19

    -8y = -3x + 19

        y = (3/8)x - 19/8

32x + 12y = 19

         12y = -32x + 19

             y = (-32/12)x + 19/12

             y = (-8/3)x + 19/12

as the slopes of the lines are negative reciprocals of each other, the lines are PERPENDICULAR

Answer:

3.1

Step-by-step explanation:

lemme know if you want the explanation

Answer:

120

Step-by-step explanation:

If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).

Answer:

A, y=1/3x

Step-by-step explanation:

You can use the slope formula.

Answer:

Move all terms that don't contain c to the right side and solve.

c = 6

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\dfrac{5}{12}x-5}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{3}{4}x-1\right)-\left(\dfrac{1}{3}x+4\right)=\dfrac{3}{4}x-1-\dfrac{1}{3}x-4=\left(\dfrac{3}{4}x-\dfrac{1}{3}x\right)+(-1-4)\\\\=\left(\dfrac{3\cdot3}{4\cdot3}x-\dfrac{1\cdot4}{3\cdot4}x\right)+(-5)=\left(\dfrac{9}{12}x-\dfrac{4}{12}x\right)-5=\dfrac{9-4}{12}x-5\\\\=\dfrac{5}{12}x-5[/tex]

Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a  patient that is considered normal, that is, the subtraction is not negative, hence:

[tex]H_0: \mu_S - \mu_N \geq 0[/tex]

At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:

[tex]H_1: \mu_S - \mu_N < 0[/tex]

Regarding each sample, the mean and standard deviation are found using a calculator.

[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]

[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]

We have the standard deviation for each sample, hence, the t-distribution will be used.

The standard errors are given by:

[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]

[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]

The distribution of the difference has mean and standard error given by:

[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]

[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

In which [tex]\mu[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]

[tex]t = -0.47[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]

Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

A similar problem is given at https://brainly.com/question/13873630

Answer:

A is correct good luck bud

Step-by-step explanation:

Step-by-step explanation:

Multiply

0.15

by

−

0.6

.

−

0.09

Answer: 127.5

Step-by-step explanation:

Question: What is 34% of 375

Percentage solution with steps:

Step 1: Our output value is 375.

Step 2: We represent the unknown value with x​.

Step 3: From step 1 above, 375=100%

Step 4: Similarly, X=34%

Step 5: This results in a pair of simple equations:

375=100% (1)

X=34%(2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

375/X = 100%/34%

Step 7: Again, the reciprocal of both sides gives:

X/374=34/100

X=127.5

Therefore, 34% of 375 is 127.5

Answer:

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

Answer:

(4,5)

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

i did da quiz

Mean of Number of scope is 8

Given that;

Number of scope of Vanilla = .6

Number of scope of chocolate = 14

Number of scope of strawberry = 10

Number of scope of Butter pecan = 6

Number of scope of cookie dough = 4

Number of scope of moose track = 8

Find:

Mean of Number of scope

Computation:

Mean of Number of scope = [6+14+10+6+4+8] / 6

Mean of Number of scope = [48] / 6

Mean of Number of scope = 8

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Answer:

C

GIVE ME THE POINTS YES

Answer:

10% of 95 is 9.5

So 95 - 9.5 = 85.5

Answer:

Step-by-step explanation:

x = 127

y = 5

z = 31

Answer:

If they both sell half then Kyle would have 1.5:1 and Yasmine would have 18 pennants.

Step-by-step explanation:

It will change because if they both sell half, they would have to multiply by .05  or divide by 2 because that is half of something.

3/2 or 3*0.5 = 1.5

2/2 or 2*0.5 = 1

36/2 or 36*0.5 = 18

So Kyle would have 1.5:1 pennants left and Yasmine would have 18 pennants left.

Answer:

d)fluid ounce may be right answer

Answer:

x intercept: (3/2, 0), y intercept: (0, -3)

Step-by-step explanation:

Answer:

The answer is 98

Step-by-step explanation:

A = 5

B = 3

a_b = 2

a × b = 5 × 3 = 15

A3 _ b3 =(5) bower 3 _ (3) power 3 = 98