8. How much energy does a 12 V battery in your car use to move 2.5 C through the electrical
circuit?

Answer:

 The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

     The sample size is  \(n = 13\)

    The sample mean is  \(\= x = 9.63\)

     The standard deviation is  \(s = 0.585\)

      The significance level is  \(\alpha = 0.05\)

The Null Hypothesis is  \(H_o : \mu = 0\)

The Alternative  Hypothesis  is  \(H_a = \mu < 10\)

The test statistic is  mathematically represented as

          \(t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }\)

Substituting values

          \(t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }\)

         \(t = - 2.280\)

Now the critical value for \(\alpha\) is  

     \(t_{\alpha } = 1.645\)

This obtained from the critical value table

  So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

 The conclusion is that the researcher was correct

Answer:

32+\(\sqrt{200}\)

Step-by-step explanation:

First - one side is 10m and other one is 16, so adding this 26m

Second-hypotenuse is sqrt of 10*10+10*10.

Third-  Remainder is 16-10 because  that is isosceles triangular.

Answer: 14%

Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.

- Lizzy ˚ʚ♡ɞ˚

Answer: 600000

Step-by-step explanation: just multiply it man

The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

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Answer:

i have no idea just letting you know

Answer:

80 marbles

Step-by-step explanation:

8 times 2=16

40 times 2=80

Step-by-step explanation:

We know that:-

Angle sum property if Triangles tells us that sum of angles of a triangle is equal to 180°.

So, First, we will find the third inner angle.

\(180 = y + 93\)

\(y = 87\)

Now, let us find x.

\(62 + 87 + x = 180\)

\(149+ x = 180\)

\(x = 31\)

So, 31° is the answer. (c)

Let's practice a little algebra and set the second distance to x.

9/4=270/x

solve

9x=270*4

x=30*4

x=120

The second distance is 120.

Done! any question about this just ask me in the comment.

Answer

12r2 +r − 7

Step-by-step explanation:

The steps for bisecting a line segment are to place the reflective device, draw the line of reflection, place the reflective device on point B, move the reflective device around, place the reflective device on point A and repeat the process.

This process implies creating a new line that is perpendicular to the original line, which means the new line will cross the original one. The steps for this are:

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Answer:

1.97497

Step-by-step explanation:

Using my calculator, I just put in log(94.4).

Answer:

5.2 hours

Step-by-step explanation:

divide the total distance by how fast

td/speed

3250/625=5.2hrs

Answer:

Step-by-step explanation:

We know that the sides in a square are equal length. We also know that you have to multiply length by width to get area. So if we know that the length of one side is 16 feet then all we have to do if multiply 16 by 16. Hence why the answer is 256 square feet of carpet.

Answer:   \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)

Step-by-step explanation:

   A regular dice has 6 sides, and only one of those sides side has a six.

        We write probability as;

   \(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)

Hi, there!

 _______

\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)

Here,

» Favourable Outcome(s) -> getting a 6 on a die (1 outcome),  because only one side of a die has a six on it

» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)

So,

\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)

Hope the answer - and explanation - made sense to you,

happy studying!!

                                                                                                        \(\tiny\textit{frozen \ melody}\)

Answer:

1 ans

domain=(-2,0,2,4)

range=(-3,-1,0)

2 ans

domain=(-3,-1,0,3)

range=(-1,0,1,2,3)

Step-by-step explanation:

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

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Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

Answer:

He payed $5.

Step-by-step explanation:

20% of $25 is $5 US dollars.

Answer: She paid $20

Step-by-step explanation: I know I'm a little late but can you mark me brainiest to help me out, please!

Answer:

2x2+8x+3

Step-by-step explanation:

=3x2+5x+−6+−x2+3x+9

=(3x2+−x2)+(5x+3x)+(−6+9)

=2x2+8x+3

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Answer:

11

Step-by-step explanation:

organize it:
10, 10, 11, 11, 11, 11, 12, 12, 13
the number in the middle of the order is the median, in this case the median would be 11.

Answer:

1 4/7

Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)

Keep doing that until you can't find a number that works.

In this case try 5.

55 ÷ 5 = 11 and 35 ÷ 5 = 7

so: 55/35 = 11/7

since the top number is greater than the bottom, reduce 11/7 to 1 4/7

Answer:

\( \frac{55}{35} \\ \frac{11}{7} \\ 1.57\)

answer is 4√2

because, using pythagoras theorem

x² = 4² + 4²

x² = 16 + 16

x² = 32

x = √32

x = √(16 × 2)

x = √16 × √2

x = 4 × √2

x = 4√2

Answer:

the answer is the last option, y > 2x-2

The system of linear inequalities y ≤ -2x - 1 and y > -2x + 3 is represented by the graph

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

Given the inequalities y ≤ -2x - 1 and y > -2x + 3, plotting the two inequalities using the geogebra online graphing tool.

The system of linear inequalities y ≤ -2x - 1 and y > -2x + 3 is represented by the graph

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Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:

15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

Step-by-step explanation: 15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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