A three-column table is given.





What is the value of C in the table?
18
24
27
71

Answer:

Below

Step-by-step explanation:

this is the same as [tex]\sqrt[4]{64}[/tex]      and   is   [tex]\sqrt[4]{16*4}[/tex]     and this equals 2 [tex]\sqrt[4]{4}[/tex]

For the given vectors the sum of u is  (-44/10,-6/10).

Vectors are mathematical objects that have both magnitude and direction.

The projection of u onto v is equal to the dot product of u and the unit vector of v divided by the magnitude of v.

The unit vector of v can be found by dividing v by its magnitude. Once we have the unit vector, we can multiply it by the dot product and add it to the initial point of v to find p.

Since u = (-4,-1) and v = (1,3), the magnitude of v is √(1^2 + 3^2) = √10 and the unit vector of v is (1/√10, 3/√10).

The dot product of u and the unit vector of v is

=> (-4)(1/√10) + (-1)(3/√10)

=> -4/√10 - 3/√10.

Thus,

=> p = (-4/√10 - 3/√10)(1/√10, 3/√10) + (1,3)

=> p = (-4/10 - 3/10, -1/10 + 3/10) + (1,3)

=> p =  (7/10 + 3/10, 2/10 + 3/10) = (10/10, 5/10).

To find n vector, we subtract p from u.

Finally,

=> n = u - p = (-4,-1) - (10/10, 5/10)

=> (-4 - 10/10, -1 - 5/10) = (-44/10,-6/10).

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A right-skewed histogram has a peak that is left of center and a more gradual tapering to the right side of the graph. This is a unimodal data set, with the mode closer to the left of the graph and smaller than either the mean or the median.

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According to the information, it can be inferred that the balance after 3 months is that we have made interest payments for $107.6 of interest and $264.39.

To calculate the payment balance for the car loan we must take into account the following information:

According to the above, we must find how much the interest is equal to:

So, we must divide the result in the 12 months of the year

and later multiply it by the three months that are being asked.

Additionally, we must calculate how much the installment payment would be.

So we would pay 371.79 for the 3 months.

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Answer:

4x + y = 15

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 4 , then

y = - 4x + c ← is the partial equation

to find c substitute (2, 7 ) into the partial equation

7 = - 4(2) + c = - 8 + c ( add 8 to both sides )

15 = c

y = - 4x + 15

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

then

y = - 4x + 15 ( add 4x to both sides )

4x + y = 15 ← in standard form

Answer:

hope this helps :)

The pans must be sliced in the following way:

B) 5 pieces are equivalent to the fraction 1/8 of the pan.

The number of pieces in each pan will be equal to the product between the numbers of slices (assuming that the sets of slices are perpendicular)

So, if she wants to have pieces of the same size, she needs to:

Slice the first pan in 10 slices.

Slice the second pan in 4 slices.

Now both of these will have:

10*4 = 40 pieces.

B) There are 40 pieces in each pan, so if she served 5, the fraction is:

5/40 = 1/8

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The linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.

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The sum of the angle measures of a polygon with s sides can be calculated using the formula:

(s - 2) * 180 degrees

We can use this formula to solve for s:

2 = (s - 2) * 180

Dividing both sides by 180:

2 / 180 = (s - 2)

Solving for s:

s = 2 + 2 / 180 = 2 + 1 / 90 = 2 + 1 / 90 * 180 / 180 = 2 + 2 / 3

So the number of sides of the polygon is s = 2 + 2 / 3 = 4 2/3.

Since a polygon must have a whole number of sides, s cannot be a fraction, which means this answer is not a valid solution for the number of sides of a polygon. I don't think the problem as stated does not have a valid solution.

Answer: 3/4 * 1/2 = 3/8 = 0.375

hope this helpes

[tex] = \frac{3}{4} \times 8 \frac{1}{2} \\ [/tex]

[tex] = \frac{3}{4} \times \frac{8 \times 2 + 1}{2} \\ [/tex]

[tex] = \frac{3}{4} \times \frac{17}{2} \\ [/tex]

[tex] = \frac{51}{8} \\ [/tex]

The area of the region bounded by f(x)=(x-8)^2, g(x)=-x-2 and the x-axis is the definite integral of f(x)-g(x) from -2 to 8.

The area of the region bounded by f(x)=(x-8)^2, g(x)=-x-2 and the x-axis is given by the definite integral of f(x)-g(x) from -2 to 8. First, expand f(x) and g(x) to get f(x)=x^2-16x+64 and g(x)=-x-2. Then, subtract g(x) from f(x) to get f(x)-g(x)=x^2-16x+66. This is the equation of the area of the region. To calculate the area, use the definite integral of f(x)-g(x) from -2 to 8. This is equivalent to the integral from -2 to 8 of x^2-16x+66 dx. After integrating, the area is given by the expression (x^3/3)-8x^2+66x from -2 to 8, which is equal to 1176/3 units^2. Therefore, the area of the region bounded by f(x), g(x) and the x-axis is 1176/3 units^2.

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Answer:

After 4 years, the computer will be worth approximately $576. Since the computer loses 20% of its value each year, the total amount lost after 4 years is 80%. This means that the computer's original value of $1200 will be reduced to $576.

Step-by-step explanation:

Answer: 15kg is equivalent to 33.0693 or 33, for short.

Step-by-step explanation:

33.0693 kilograms, or 33, are equal to 15 kilograms.

A pound is about equivalent to 0.45359237 kilograms. By dividing the specified pound value by 0.45359237, one can convert a pound to kilograms. Remember that 1 kg equals 2.2046 lbs when converting weights.

The weight of a kilogram (kg) is said to be 2.2 times that of a pound. Thus, 2.26 pounds are equal to one kilogram of mass. In light of this, we shall now examine some of the primary variations between the pound and the kilogram. A pound is an imperial unit used to measure bulk or weight.

A weight of 500 pounds exceeds a weight of 200 kilograms because 227 kilograms is greater than 200 kilograms.

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Answer: I’d say that Saul’s generalization is more valid because even though he interviewed less people, he interviewed girls as well as boys, and Richie only interviewed the boys.

Answer:Given that Saul spoke with both boys and females, his generalization is accurate

Step-by-step explanation:?A generalization is a kind of abstraction where the general traits of specific cases are articulated as overarching concepts or claims. Generalizations presuppose a domain or collection of elements, as well as one or more shared characteristics.Why is being general useful?Generalization is the capacity to do an action, engage in an activity, or display a behavior in a variety of situations, with a variety of people, and at a variety of times. Our ability to complete routine tasks in a variety of contexts and settings is due to the fact that we have "generalized" the necessary skills.

Answer:4

Step-by-step explanation:

4

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations, matrices, determinants, vector spaces, and linear transformations.

The values of the output for steady-state operation at the two operating points xo = 1 and xo = 2 are y(1)=2.4, y(2)=13.2, and the linearized model for both operating points is y(x)=2.4+5.2(x-1), y(1)=2.4 y(2)= 7.6

The given equation is y=x+1.4x³.

The values of the output for steady-state operation are:

Now substitute Xo=1 and Xo=2 in given equation:

y(1)=1+1.4(1)³.

y(1)=2.4

y(2)=2+1.4(2)³.

y(2)=13.2

The formula for linearization is:

[tex]y(x)=y(1)+\frac{dy}{dx} |_x_=_1.(x-1)[/tex]

The first derivative of the formula evaluated at x = 1 is:

[tex]\frac{dy}{dx} |_x_=_1=1+4.2(1)^2\\\\\frac{dy}{dx} |_x_=_1=5.2[/tex]

The linearized model is:

y(x)=2.4+5.2.(x-1)

The output at x = 2 is presented below:

y(x)=2.4+5.2.(2-1)

y(2)=7.6

The linearized model offers reasonable approximations for small intervals.

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1 gallon equal to  3.785411784 liter.

The gallon is a unit of volume in imperial units and United States customary units. Three different versions are in current use:

The imperial gallon (imp gal), defined as 4.54609 litres, which is or was used in the United Kingdom, Ireland, Canada, Australia, New Zealand and some Caribbean countries.

The US gallon (US gal), defined as 3.785411784 L, (231 cubic inches) which is used in the US and some latin American and Caribbean countries.

The US dry gallon ("usdrygal"), defined as 1/8 US bushel (exactly 4.4.0388377086 L)

By using the above formula to convert US gallons to litres.

Solution: Inserting the value of a gallon in the above formula we will get:

Litre =1×3.785411784 =3.785411784

Hence 1 gallons are equal to 3.785411784 liter.

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The transformation that maps polygons JKLM into polygon YXWZ is

Using point M as reference (0, -6)

The transformation rule for reflection 90 deg clockwise is  (x, y) → (y, -x)

M (0 -6) → M' (-6, 0)

Reflection across the x-axis  (x, y) → (x, -y)

M' (-6, 0) → M'' (-6, 0)

Translation by (5, 6)  (x, y) → (x + 5, y + 6)

M'' (-6, 0) → M''' (-6 + 5, 0 + 6) = M'' (-1, 6)

M''' = Z (-1, 6)

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Answer:

C. - 8

Step-by-step explanation:

substitute - 4 for x value

-4 + (2×-4) - (-4)

= -4 + (-8) + 4

= -12 +4

= -8

Answer:

117

Step-by-step explanation:

B=D=63

=>the exterior angle at D = 180-63

The cost of downloading 10 songs for Johnny is $30.

The cost of downloading music for Johnny can be represented by the expression 1.5x + 15, where x is the number of songs downloaded. To find the cost of downloading 10 songs, we can plug in x = 10 into the expression:

1.5 * 10 + 15 = 15 + 15 = 30

So, it will cost Johnny $30 to download 10 songs. This expression represents the total cost as the sum of a $30 $30 ($15 monthly fee) and a variable cost ($1.50 per song fee).

The fixed cost remains constant regardless of the number of songs downloaded, while the variable cost increases as more songs are downloaded.

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u in the plane is not spanned by the columns of A.

If u in the plane in spanned by the columns of A, then u can be obtained by the linear combination of the columns of A. That is

(4, -1, 4) = x(2, 0, 1) + y(5, 1, 2) + z(-1, -1, 0)

In matrix form we get

[tex]\left[\begin{array}{ccc}2&5&-1\\0&1&-1\\1&2&0\end{array}\right]\left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}4&-1&4\end{array}\right][/tex]

Determinant of matrix A is

= 2*1*0 + 5*-1*1 + -1*0*2 - -1*1*1 - 5*0*0 - 2*-1*2

= 0 - 5 + 0 + 1 + 0 + 4

= 0

Determinant of matrix A is 0, thus no solutions exist.

So u cannot be spanned by columns of A.

--The question is incomplete, answering to the question below--

"Let u = [tex]\left[\begin{array}{c}4&-1&4\end{array}\right][/tex] and A = [tex]\left[\begin{array}{ccc}2&5&-1\\0&1&-1\\1&2&0\end{array}\right][/tex] . Is u in the plane is spanned by the columns of A? why or why not?"

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Amanda could buy more than 4 inches but less than 8 inches of purple wire to make triangle.

For Amanda to make a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Therefore, the minimum amount of purple wire she could buy would be the sum of the lengths of the blue and green wires (4 inches + 8 inches = 12 inches), minus the length of the longest side (which is 8 inches), so 12 inches - 8 inches = 4 inches.

The maximum amount of purple wire she could buy would be the sum of the lengths of the two shorter sides (4 inches + 4 inches = 8 inches).

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Answer:

central angle

Step-by-step explanation:

an angle with a vertex on the center of a circle and slides that are radii of that circle is called a central angle

Central angle has a vertex on the center of the circle and sides that are radii of that circle .

What does central angle mean?

A right angle, which has sides that are the radii of the circle, and a vertex that is at the center of the circle Given that it intercepts an arc with a length equal to the circle's radius, a central angle has radian measure [Math Processing Error].

Where can I find the center angle?

The angle that the arc at the center of a circle occupies is known as the central angle. The arms of the angle are created by the radius vectors. The formula for calculating a central angle is: Central Angle = Arc length(AB) / Radius(OA) = (s 360°) / 2r, where s denotes the length of the arc and r denotes the radius of the circle.

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The radius of the circle with the same vertex is 6 and the height of the triangle is 10.39 and the area of the triangle is 62.34.

Since the arc divides the triangle into two regions of equal area, it follows that half of the circle's area is equal to the area of the triangle. The area of a triangle with sides 12 and 12√3 and a 60-degree angle can be found using the formula for the area of a triangle, which is 0.5bh.

The height of the triangle can be found using trigonometry, as the sine of 60 degrees is 0.8660. Thus, the height of the triangle is 10.39 and the area of the triangle is 62.34.

Since half of the circle's area is equal to the area of the triangle, the radius of the circle can be found by taking the square root of the area of the triangle and dividing it by pi. Thus, the radius of the circle is 6.

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A triangle has a 60-degree angle, and the two adjacent ide are 12 and 12 roots 3. Find the radius of a circle with the same vertex a center, if the arc inside the triangle divides it into two regions of equal area

Answer:

For the first question:

A) -9.7 > -18.2

For the second:

A) The temperature is warmer in Minnesota than South Dakota.

Step-by-step explanation:

Hope it helps! =D

The first three terms are all 0 since they are constants. The last term is [tex]15x2y4[/tex]. Therefore, the partial derivative of J with respect to y is [tex]40 + 15x2y4.[/tex]

Partial Derivative of J with Respect to[tex]x: 50 - 6x2y5[/tex]

Partial Derivative of J with Respect to[tex]y: 40 + 15x2y4[/tex]

To find the partial derivatives of J with respect to x and y, we need to use the chain rule. The partial derivative of J with respect to x is the derivative of 5000 with respect to x plus the derivative of 10x with respect to x plus the derivative of 40y with respect to x plus the derivative of [tex]3x2y5[/tex] with respect to x. The first three terms are all 0 since they are constants. The last term is [tex]6x2y5[/tex]. Therefore, the partial derivative of J with respect to x is [tex]50 - 6x2y5[/tex]. The partial derivative of J with respect to y is the derivative of 5000 with respect to y plus the derivative of 10x with respect to y plus the derivative of 40y with respect to y plus the derivative of [tex]3x2y5[/tex] with respect to y. The first three terms are all 0 since they are constants. The last term is [tex]15x2y4.[/tex]Therefore, the partial derivative of J with respect to y is [tex]40 + 15x2y4[/tex].

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Step-by-step explanation:

12/10.1

16.85/13

21.61/15

The best way, in my opinion, is to divide each price by it's respective inches. Doing that you will see the cost per inch. the cheapest one is the best deal.

[tex]small = \frac{12}{10.1} = 1.19[/tex]

[tex]medium = \frac{16.85}{13} = 1.30[/tex]

[tex]large = \frac{21.61}{15} = 1.44[/tex]

Seeing these 3, the cheapest was $1.19, making the small pizza the best deal because you get the best price per inch