How many boards 6 5/6 in wide will cover a floor 205 in wide

Answer:

b is the third line

\( \sin(58) = 0.848\)

also sin(58)=22/b

0.848=22/b

b=(22/0.848)=25.9

\( \sqrt{22 ^{2} + 25.9^{2} } = 33.98 \)

x=33.98

Answer:

x=8

.....................

Answer:

Option C.

Step-by-step explanation:

The given expression is  

\(\sqrt{128x^8y^3z^9}\)

It can be written as

\(\sqrt{(64\cdot 2)\cdot x^8\cdot y^{2+1}\cdot z^{8+1}}\)

\(=\sqrt{8^2\cdot 2\cdot (x^4)^2\cdot y^{2}\cdot y\cdot (z^{4})^2\cdot z}\)

\(=\sqrt{(8x^4yz^4)^2\cdot 2yz}\)

\(=8x^4yz^4\sqrt{2yz}\)

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

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Answer:

We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below

Explanation

3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13.  11 + 12 + 13 = 36

Plz mark brainliest if helps Also hope helps:)

Answer:

A

Step-by-step explanation:

(3x - 14)^2

9x^2 - 42x -42x +196

9x^2 - 84 +196 is the correct answer

Answer:

The derivative of f(x) = 3 ÷ x + 2 is f'(x) = -3 ÷ (x+2)².

Step-by-step explanation:

This is found by using the first principle method of differentiation, which states that the derivative of a function is the rate of change of the function with respect to the indepedent variable. In other words, the derivative of a function measures how much the output of the function changes with respect to a small change in the input.

To find the derivative of f(x) = 3 ÷ x + 2, we start by taking the limit as h approaches 0 of the difference quotient (f(x + h) - f(x)) ÷ h.

The difference quotient is (3 ÷ (x + h + 2) - 3 ÷ (x + 2)) ÷ h. Simplified, this becomes 3h ÷ (x + h + 2)(x + 2).

When h approaches 0, the difference quotient becomes 3 ÷ (x + 2)², which is the derivative of f(x).

The values of independent random variables (a)E(Y), (b)V(Y), (c) E(2Y), and (d) V(2Y) using covariance are 36, 1296, 72, and 5184 respectively.

We can use the following properties of expected value and variance:

E(aX) = aE(X) for any constant a

V(aX) = a² V(X) for any constant a

E(X + Y) = E(X) + E(Y) for any random variables X and Y (assuming they have finite expected values)

V(X + Y) = V(X) + V(Y) + 2Cov(X, Y), where Cov(X, Y) is the covariance between X and Y.

(a) E(Y) = E(6X1 - 6X2) = 6E(X1) - 6E(X2) (by linearity of expectation)

= 6(9) - 6(3) = 36

Therefore, E(Y) = 36.

(b) V(Y) = V(6X1 - 6X2) = 36V(X1) + 36V(X2) - 72Cov(X1,X2) (by the variance formula)

To find the covariance between X1 and X2, we note that they are independent, so Cov(X1, X2) = 0.

Substituting the values of the variances, we get:

V(Y) = 36(6²) + 36(4²) - 72(0) = 1296

Therefore, V(Y) = 1296.

(c) E(2Y) = 2E(Y) (by linearity of expectation)

= 2(36) = 72

Therefore, E(2Y) = 72.

(d) V(2Y) = 4V(Y) (by the variance formula)

= 4(1296) = 5184

Therefore, V(2Y) = 5184.

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Answer:

undersea trench

Step-by-step explanation:

Absolute value is the distance from zero

The highest mountain trench is |29028| or 29028 ft from zero

The lowest under sea trench is | -35840| of 35840 ft from zero

The highest absolute value is the undersea trench

Height always be positive .

Absolute value:-

\(\\ \sf\longmapsto |29028|=29028ft\)

Absolute value:-

\(\\ \sf\longmapsto |-35840|=35840ft\)

Answer:

points A and D

Step-by-step explanation:

By taking some products we will see that the total number of cupcakes ordered is 6 cupcakes.

Here we want to see how many cupcakes this person is ordering. We know that orders 9 halves of a cupcake for the family, plus a quarter of a cupcake for each of the 6 friends.

The total number of cupcakes is given by the order for the family plus the order for the friends.

The order for the familiy is given by the product:

9*(1/2) = 9/2 = 4.5

That is 9 times 1/2 of a cupcake, so for the family the person orders 4.5 cupcakes.

For the friends the person orders 6 times 1/4 of a cupcake, so now we have the product:

6*(1/4) = 6/4 = 3/2 = 1.5

If we add these two numbers we get the total number of cupcakes:

4.5 + 1.5 = 6

The person ordered 6 cupcakes.

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If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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Answer: y = -2x

Step-by-step explanation:

9514 1404 393

Answer:

  make use of the invNorm( ) function

Step-by-step explanation:

The invNorm function is used for this purpose on a TI-84 calculator. It can be selected from the catalog, or from the functions available under the DISTR (2nd VARS) key.

As arguments, it takes (area, mean, standard deviation) and an optional fourth tail parameter indicating whether you want the Z-score corresponding to the left tail (default), the center, or the right-tail area. The tail parameter is available at the bottom of the list under the DISTR key.

__

For the purpose here, we find the left cutoff to be about -1.175. Since the distribution is symmetrical, the right cutoff will be about +1.175.

_____

Additional comment

The attached image is a screen shot of the GraphNCalc83 app available for iOS devices. It emulates a TI-83/84 calculator very well, improving on accuracy and human factors in a number of places. (Disclaimer: I have no financial interest in this app. I just find it very useful.)

Answer:

1000

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 18 I think?

Answer:

18

Step-by-step explanation:

6 (legs) x 3 (ants) = 18 legs

It can also be represented as 6+6+6 (18)

hope this helps :)

The coordinates of triangle QRS after the translation and the reflection are given as follows:

Q''(-5, 2), R''(-2, 7), S''(1, 3).

The original coordinates for the triangle are given as follows:

Q(7, -3), R(10, -8), S(13, -4).

The translation vector is given as follows:

<-12, 9>

Hence the translation rule is given as follows:

(x, y) -> (x - 12, y + 9).

Meaning that the vertices of the figure after the translation are given as follows:

Q'(-5, 6), R'(-2, 1), S'(1, 5).

y = 4 is an horizontal line, meaning that after the reflection, the x-coordinates remain constant while the y-coordinates are moved in the opposite direction, hence:

Q''(-5, 2), R''(-2, 7), S''(1, 3).

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Answer:

-1.25

Step-by-step explanation:

\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate

Slope of line

\( = \frac{6 - ( - 4)}{1 - 9} \\ = \frac{6 + 4}{ - 8} \\ = - \frac{10}{8} \\ = - \frac{5}{4} \\ = - 1.25\)

Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Answer:

53

Step-by-step explanation:

8x7=56

56-3=53

Remember pemdas

Parentheses

exponent

multiplication

division

addition

subtraction

Answer:

53

Step-by-step explanation:

First you have to multiply 8 and 7, which gives us 56...

8(7) - 3

56 - 3

Now we subtract...

56 - 3 = 53

53 is your final answer

Hope this helps!!<3

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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Answer:

Step-by-step explanation:

For us to determine the friends that live exactly halfway between any two other friends, we need to determine the midpoint of any two of the coordinates and check whether the coordinate gotten is any of other people coordinates.

Using the coordinates B (22,5)  and Ju (4,5), Using the mid point formula;

m(X,Y) = \((\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\\\)

X = \(\frac{x_2+x_1}{2}\)

X = \(\frac{22+4}{2}\)

\(X = \frac{26}{2}\\ X = 13\)

\(Y =\frac{y_2+y_1}{2}\\Y = \frac{5+5}{2}\\Y = \frac{10}{2}\\Y = 5\)

\((X, Y) = (13, 5)\)

Hence the friend that live half way of B (22,5)  and Ju (4,5) is J(13, 5)

Similarly as above, using the coordinates of M (11,5) and A  (31,5)

X = (11+31)/2

X = 42/2

X = 21

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends is (21, 5)

Hence the friend that live half way of M (11,5)  and A (31,5) is Ma(21, 5)

Also, using the coordinates of J (13,5)  and A  (31,5)

X = (13+31)/2

X = 44/2

X = 22

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends J and A is (22, 5)

Hence the friend that live half way of J (13,5)  and A (31,5) is B(21, 5)

I am going to draw to ilustrate the solution

Using the pythagorean theorem we get that

The balance in the account after 6 years is $2,466.69.

What is compound interest?

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

We can use the formula for compound interest to find the balance in the savings account after 6 years:

\(A = P(1 + r/n)^{(nt)}\)

where:

A is the balance in the account after t years

P is the initial deposit, which is $2,225

r is the annual interest rate, which is 1.625%

n is the number of times the interest is compounded per year, which is 4 (since it's compounded quarterly)

t is the number of years, which is 6

Plugging in these values, we get:

\(A = 2,225(1 + 0.01625/4)^{(4*6)}\\A = 2,225(1.0040625)^{24}\)

A = 2,225(1.108227)

A = 2,466.69

Hence, the balance in the account after 6 years is $2,466.69.

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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