Luis's cedar chest measures 4 ft long 2 ft wide and 2 1/4 ft high. What is the volume of the chest? PLEASE USE THE FORMULA IN THE STEP BY STEP EXPLANATION! I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

i can't do that I don't know how I'm sorry

Answer:

(B) (0.396, 1.712)

Step-by-step explanation:

From the information given;

Confidence Interval = 0.95

Significance Level \(= 1 - 0.95 = 0.05\)

The confidence interval for regression coefficient beta (whereby in this case it is the coefficient of the diameter) is expressed by:

= \(( Beta ^- \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ), Beta^+ \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ))\)

From the regression coefficient, the estimated value of beta^  = 1.054

\(= (1.054 - t_{29,0.025} *(0.322), 1.054 + t_{29,0.025}*(0.322))\)

\(t_{229,0.025} = 2.0452\\\\ = \mathbf{(0.396, 1.712)}\)

Answer:

Answer and steps in picture.

The solution to the equations are

1/3(2x - 3/7) + 1/6x = 4/7 is x = 6/7

7/8 x + 3/4 x + 7/16 x - 1/16 = 5/8 is x = 1/3

1 1/5 y + 3/10 y - 1/2 y = 1/3 y + 2/5 is y = 6/10

3/4 * (1/6 x + 16) = 3/7 * (4 3/8  x - 21) is x = 12

4/3x + 9/2y

1. To solve this equation, we can start by simplifying

1/3(2x - 3/7) + 1/6x = 4/7

2/3x - 1/7 + 1/6x = 4/7

Multiplying both sides by the lcm of the denominators which is 42

28x - 6 + 7x = 24

35x = 30

x = 6/7

2. 7/8x + 3/4x + 7/16x - 1/16 = 5/8

Multiplying both sides by the lcm of the denominators which is 16

14x + 12x + 7x - 1 = 10

33x = 11

x = 1/3

3.

6/5 y + 3/10 y - 1/2 y = 1/3 y + 2/5

2/3 y= 2/5

y = 2/5 * 3/2

y = 6/10

4.

3/4 * (1/6 x + 16) = 3/7 * (4 3/8 x - 21)

opening the parenthesis

1/8 x + 12 = 15/8 x - 9

1/8 x - 15/8 x= -12 - 9

-7/4 x = -21

x = 12

5.

2x - 2/3 x + 3 y + 1 1/2 y

4/3 x + 9/2 y

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Answer:

Step-by-step explanation:

The length of the legs is n and 2n.

The hypotenuse is:

Answer:

Step-by-step explanation:

3

$ 232.90

62% ........... $144.40

100% ..........$ x

x = 144.40×100/62

= 14440/62

= $ 232.90

Answer:

D

Step-by-step explanation:

friend I am not sure but ..u can take a chance fir D or wait for others

Answer:

1570f³t

Step-by-step explanation:

V=πr²h

V=3.14×10²×5

V=3.14×100×5

V=314×5

V=1570

By a change of units, we will get that 108 mi/h = 158.4 ft/s

Here we want to transform 108 mi/h to feet per second.

Then we will use two relations:

Then we can just transform as:

108mi/h = (108*5,280 ft)/h = 570,240 ft/h

570,240 ft/h = 570,240 ft/(3,600 s) = 158.4 ft/s

So we have:

108 mi/h = 158.4 ft/s

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Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

Answer:40 UK£

Step-by-step explanation: you divide the answer by 2

Answer: £40

Step-by-step explanation: £80/2 = £40

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Answer:

(5,1) (4,2)

Step-by-step explanation:

Answer:

∠b=82°

Step-by-step explanation:

143°=∠c+∠b (exterior angle property)

143°=61°+∠b

∠b=143-61

∠b=82°

Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2

x^2 + y^2 + 6x -6y +5 = 0

(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0

(x + 3)^2 + (y - 3)^2 = 13

The radius does not matter the centre is ( -3, +3)

The diameter must pass through the center so substituting into the equation for the line

2x-y+a = 0

-6 -3 + a = 0 so a = 9

The value of 'a' in the equation (2x - y + a = 0) is 0 and this can be determined by using the generalized equation of a circle.

Given :

Circle Equation  --  \(x^2-2x+y^2-4y-4\)

Line equation -- 2x - y + a = 0

First, convert the given equation of a circle in the generalized equation of a circle which is given by:

\((x-a)^2+(y-b)^2=r^2\)

where (a,b) represents the center of the circle and 'r' is the radius of the circle.

The generalized form of the given equation of a circle is:

\((x-1)^2-1+(y-2)^2-4-4=0\)

\((x-1)^2+(y-2)^2=3^2\)

So, the center of the circle is (1,2) and the radius is 3.

The center of the circle satisfy the line passing through it, that is:

2(1) - (2) + a = 0

a = 0

So, the value of a in the equation (2x - y + a = 0) is 0.

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Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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x - 2 < 5   ⇒   x < 7

x + 7 > 6   ⇒   x > -1

Together, we have -1 < x < 7, which in set notation is

\(\left\{x \mid -1 < x < 7\right\}\)

(third choice)

The domain of the function consists of all real numbers greater than 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Next, we would determine the function which models the amount of gas as follows:

Function, f(x) = rate × x

Function, f(x) = 2.25 × x

Function, f(x) = 2.25x

Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:

Domain = [0, ∞]

In conclusion, the domain is equal to all real numbers that are greater than zero (0).

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As of December 21, the account's opening balance will be $ 4,000.66.

To find the missing amounts in the table and determine what is her opening balance on December 21, the following calculations must be performed:

The interest rate must be divided by the number of days in the year.

0.0145 / 366 = 0.00003961748

December 18 =

December 19 =

December 20 =

Therefore, as of December 21, the account's opening balance will be $ 4,000.66.

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Answer:

21f=12m

Step-by-step explanation:

The linear function of h is h(x) = -2x -13 and the values of h(3) = -19.

Two point form is a method for finding the equation of a function if two of its points are known. If (x1, y1) and (x2, y2) are the two points then equation of the function is given as-

(y - y1) = {(y1 - y2)/ (x1 - x2)} (x - x1)

Here, we are given that h(7) = -10 and h(-2) = 8

This, means that (7, -10) and (-2, 8) will satisfy the given function

Since, we have two points, we will use the two point form to find the equation of function h.

Substituting, x1 = 7, y1 = -10, x2 = -2 and y2 = 8 in the two point form equation we get-

( y - 7) = {(-10 - 8) / (7 + 2)} (x + 10)

y - 7 = (-18/9) (x + 10)

y - 7 = -2(x + 10)

y - 7 = -2x -20

y = -2x -20 + 7

y = -2x -13

Thus, h(x) = -2x -13

Hence, h(3) = -2(3) -13

= -6 -13

= -19

Therefore, h(3) = -19

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Answer:

Your answer is correct I graphed it on my desmos calculator they align perfectly.

the evaluated expressions are: (a) j¹² = 1 ,(b) -1/j⁹ = j ,(c) 5/(2j¹³) = (5/2)j

to solve this use  the properties of the imaginary unit.

what is imaginary unit ?

The imaginary unit is a mathematical concept denoted by i or j (in electrical engineering) that represents the square root of -1. It is called an "imaginary" unit because it does not have a real number counterpart.

In the given question,

To evaluate these expressions, we need to recall the properties of the imaginary unit, j, which is defined as the square root of -1. Specifically, we need to remember that:

j² = -1

j³ = -j

j⁴ = 1

Using these properties, we can simplify the given expressions:

(a) j¹² = (j⁴)³ = 1³ = 1

(b) -1/j⁹ = -1/(j³)³= -1/(-j)³ = -1/(-j³) = -1/(-(-j)) = -1/j = -j/j² = -j/-1 = j

(c) 5/(2j¹³) = 5/(2(j⁴)³*j) = 5/(2*1*j) = 5/(2j) = (5/2) * (1/j) = (5/2) * (-j³/j⁴) = -(5/2)j³ = (5/2)j

Therefore, the evaluated expressions are:

(a) j¹² = 1

(b) -1/j⁹ = j

(c) 5/(2j¹³) = (5/2)j

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. Evaluate the following expression  to simplest form \( j^{12} \); (b) \( -\frac{1}{j^{9}} \); (c) \( \frac{5}{2 j^{13}} \)

Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

Answer:

-4

Step-by-step explanation:

\(11v-8=3\)

\(11v=11\)

\(v=1\)

Then plug 1 in for v in 4v-8

\(4(1)-8\)

\(4-8\)

\(-4\)

Step-by-step explanation:

11v - 8 = 3

11v = 3 + 8

11v = 11

v = 11/11

v = 1

4v - 8

= 4(1) - 8

= 4 - 8

= -4

Step 1:

Use the definition of a radical:

Step 2:

Use the following property of exponents:

so:

Answer:

875

Step-by-step explanation:

30*15=450

30*10=300

20*5=100

12.5+12.5=25

450+300+100+25=875

I worked from bottom to top

Answer:

875 ft²

Step-by-step explanation:

Let's split the figure along the two dotted lines. Then, we're left with two rectangles and a trapezoid at the top.

The area of a rectangle is A = lw, where l is the length and w is the width.

For the bottom rectangle, the length is 15 ft and the width is 30 ft. So:

A = lw = 15 * 30 = 450 ft²

For the middle rectangle, the length is 10 ft and the width is still 30 ft, so:

A = lw = 10 * 30 = 300 ft²

The area of a trapezoid is denoted by A = (b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.

Here, the bigger base, b2, is still 30 ft. The smaller base, however, is actually 30 - 5 - 5 = 20 ft. The height is 5 ft. So, plug these in:

A = (b1 + b2) * h/2

A = (20 + 30) * 5/2 = 50 * 5/2 = 250/2 = 125 ft²

Finally, add all these disparate areas together:

450 + 300 + 125 = 875 ft²

Answer:

That would be 0.523599 radians.

Step-by-step explanation:

This is the formula I used:

30° × π/180 = 0.5236rad

Radians - π6

Approx. radians - 0.524

Answer:

  {6-√21, 6+√21}

Step-by-step explanation:

It usually works well to put the x-terms on one side of the equal sign. Then add the square of half the x-term coefficient.

  x^2 -12x = -15 . . . . . . subtract 12x

The x-term coefficient is -12, so the square of half that is (-12/2)^2 = 36. Adding 36, we have ...

  x^2 -12x +36 = -15 +36

  (x -6)^2 = 21

  x -6 = ±√21 . . . . . take the square root

  x = 6 ±√21 . . . . . add 6

The solution set is ...

  {6-√21, 6+√21}