Find the value of the expression.
21 - -6

The correct property of the quadratic parent function is given by:

B. Its vertex is at the origin.

The quadratic parent function is modeled by:

y = x².

It has the vertex at the origin and increases to the left and to the right, into quadrants I and II, forming a function that is graphed by a parabola.

Hence the correct option regarding a property of the quadratic parent function is given by:

B. Its vertex is at the origin.

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The volume of the given cone is V= 10512.72 cm^3.

The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.

here, we have,

Volume =  ⅓ r²h

given that,

r=18

h=31

i.e. V= 10512.72 cm^3

Hence, The volume of the given cone is V= 10512.72 cm^3.

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The weight of the beets that Felix first puts on the scale is \(2\frac{1}{4}\) pounds using the concept of equations.

What is an equation?

A mathematical statement known as an equation shows the equality of two mathematical expressions.

Mathematical algebraic equations typically have one or more variables.

Given that the recipe calls for only \(1\frac{1}{2}\) pounds of beets i.e.

Pounds of beets required = \(1\frac{1}{2}\)

Pounds of beets removed by Felix = 3/4

To find the weight of the beets that Felix first puts on the scale.

Let Felix put x pounds of beets first.

Then, according to the given conditions we can write the equation

x - 3/4 = \(1\frac{1}{2}\)

⇒x - 3/4 = 3/2

⇒x = 3/2 + 3/4

⇒x = 9/4

⇒x = \(2\frac{1}{4}\)

Therefore, the weight of the beets that Felix first puts on the scale is \(2\frac{1}{4}\) pounds.

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Given:

Sol:

Use the formula:

Then:

So missing line is:

The shape of the face where the square pyramid and the rectangular prism connect is a square (option c). This is because the base of the pyramid is the exact same size and shape as the top of the prism, which is also a square.

The shape of the face where the square pyramid and the rectangular prism connect is a square. Since the base of the pyramid is the exact same size and shape as the top of the prism, it means that both the pyramid and the prism have a square as their common base. When these two shapes are placed together, the corresponding faces that match up are also squares.

In a square pyramid, all the lateral faces are triangles, while the base is a square. On the other hand, a rectangular prism has rectangular faces on the sides and squares as the top and bottom faces.

When the two shapes are combined, the triangular lateral faces of the pyramid are connected to the rectangular faces of the prism, but the common face where they meet is the square base of both shapes. Therefore, the face where the pyramid and prism connect is a square. Hence, the correct answer is c. square.

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The percent decrease is 10.16%

Percent decrease can be calculated by dividing the decrease by the original value and multiplying by 100

The first step is to calculate the decrease

= 4.33 - 3.89

= 0.44

The percent decrease can be calculated as follows

= 0.44/4.33 × 100

= 0.1016 × 100

= 10.16

Hence the percent decrease is 10.16 %

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Answer:

(B)  10.16%

Step-by-step explanation:

Correct on my quiz.

Answer:

25

Step-by-step explanation:

Answer:

\(4\ \frac{1}{8}\) \(or\) \(4.125\)

Step-by-step explanation:

\(--------------------------------------------\)

\(1\ \frac{5}{6}\) = \(1.83333333333\)

\(2\ \frac{1}{4}\) = \(2.25\)

\(1.83333333333\cdot2.25\) = \(4.12499999999\) = \(Rounds\) \(to\) \(4.125\) = \(4\ \frac{1}{8}\)

\(--------------------------------------------\)

\(1\ \frac{5}{6}\cdot2\ \frac{1}{4}\) = \(\frac{33}{8}\) = \(4.125\) = \(4\ \frac{1}{8}\) \(--------------------------------------------\)

Hope this helps! <3

\(--------------------------------------------\)

Done!

To answer this question, first, we will compute the intensity of each earthquake.

Recall that:

Therefore, using the given formula we get:

Then, the intensity of an earthquake that measures 7.5 on the Richter scale is:

and the intensity of an earthquake which measures 2.3 on the Richter scale is:

Now, notice that:

We know that:

Answer:

Answer:

x \(\geq\) -40.6

Step-by-step explanation:

9/5x + 23 \(\geq\) -50 (subtract 23 over to other side)

9/5x \(\geq\) -73 (multiply by 5)

9x \(\geq\) -365 (divide by 9)

x \(\geq\) -40.6

Using the area of a square and the square of the subtraction, it is found that the square urban garden can fit exactly into the rooftop without wasted spaces.

The area of a square of side length s is given by the square of s as follows:

A = s².

The square of the subtraction notable product is given as follows:

(a - b)² = a² - 2ab + b².

For this problem, the garden has side length given by:

s = 2x² - 7.

Hence the area of the square garden will be given as follows:

A = (2x² - 7) = 4x^4 - 28x² + 49.

This area of the square is less than the area of the rooftop, as x > 0, hence the square urban garden can fit exactly into the rooftop without wasted spaces.

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The intersection of the endpoints of two rays is called a vertex. It is the common endpoint where two rays meet or come together to form an angle.

The intersection of the endpoints of two rays is called a vertex. A vertex is a point where two rays meet or come together. It is the common endpoint of two rays that form an angle. The vertex is the starting point for measuring the angle. In geometry, angles are formed by two rays that share a common endpoint, or vertex. The rays that form an angle are called the sides of the angle.

The other endpoints of the rays, which are not the vertex, are called the initial point and terminal point. The vertex is crucial in defining and measuring angles. It is represented by a dot or a small point on a geometric figure. When discussing angles or working with geometric figures, the vertex helps to identify the starting point and the position of the angle.

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Answer:

B

Step-by-step explanation:

because b x b is equals to b raised to the power of 2

The expression that is equivalent to b x b will be b².

For this question to be solved, you simply have to multiply the values given. In this case, you're multiplying the same value twice and this will simply be raised to the power of 2.

Therefore, based on the question asked, b × b will be:

= b × b

= b²

Therefore, the value of b × b is b².

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Let, cost of 1 hot dog and 1 drink is x and y respectively.

Carl bought 4 hot dogs and 6 drinks and paid $23.80.

4x + 6y = 23.80  ....1)

Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.

4x + 2y = 15.40  ....2)

Subtracting equation 2 by 1, we get :

(4x + 6y) - (4x + 2y) = 23.80 - 15.40

4y = 8.4

y = $2.1

4x + 6×2.1 = 23.80

4x = 23.80 - 12.2

4x = 11.6

x = 2.9

Therefore, the  cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.

Hence, this is the required solution.

Answer:

Let the Width(W) = X cm

then the length(L)= (2+X)cm

Perimeter(P)= 60cm

P =L+W

L+W =P

(2+X)cm +X cm = 60 cm

2X+2=60

2X=60-2

2X=58

dividing both sides by 2

X=29cm

Width =X

Width =29cm

the width is 29cm

Length= (2+X)cm

= (2+29)cm

= 31cm

the length is 31cm

We will let w represent the width of the rectangle (in centimeters).

We know that the length is 2 cm longer than the width.

So the length is w + 2 .

We can label the rectangle as follows.

The perimeter is given as 60 cm.

So we solve for w as follows.

w + (w + 2) + w + (w + 2) = 60

w + w + 2 + w + w + 2 = 60

4w + 4 = 60

4w = 56

w = 14

Using this value of w, we can find w + 2.

w + 2 = 14 + 2 = 16

ANSWER

length: 16 cm

width: 14 cm

Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.

b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.

c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).

d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).

e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).

In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

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The temperature was 48° at least once throughout the day as the temperature rises from 43° to 56° and 43° < 48° < 56° .  

The temperature was 43° at 3 PM and it rises to 56°  at 7.30 PM.

So we know that the rise of temperature in linear , hence the temperature will follow the rule of real numbers. Hence the temperature will increase through all the possible numbers between 43 and 56

Again 43° < 48° < 56°  , so at least once the temperature will be 48 ° .

You can think about integers as either independent objects or as a tool for problem-solving. The study of analytical objects (such as the Riemann zeta function) that somehow encode features of integers, primes, or any other number-theoretic objects is often the best method for understanding number theory issues (analytic number theory).

Most people refer to number theory as arithmetic. By the turn of the 20th century, "numerical theory" had taken its place.  (The term "arithmetic" is usually used to refer to "elementary computations," but it has come to signify more concepts in mathematical logic and computer technology, such as floating-point arithmetic.)

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In this case, the coordinates of A', B' and C' are :

A' = (-2, -6)

B' = (-14, -2)

C' = (-2, -2)

We know the original coordinates to be:


A = (1, 3)

B = (7, 1)

C  = (1, 1)

Multiple by the scale factor to get :



A = (1, 3) x -2 = A' = (-2, -6)

B = (7, 1)   x -2 = B' = (-14, -2)

C  = (1, 1) x -2 ⇒ C' = (-2, -2)

See the new (dilated shape) attached.

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Answer:  OPTION (B):   sin θ cos^2 θ

Therefore, The simplified expression is OPTION (B):   sin θ cos^2 θ,  

Which corresponds to:

sin^2 θ / csc θtan^2 θ  is   OPTION (B):   sin θ cos^2 θ,  

        Rewrite In Terms of SINE and COSINE:

        sin^2 θ / 1 / sinθ  *  sin^2 θ / cos^2 θ

        sin^2 θ / sin^3 θ / cos^2 θ

        sin^2 θ  *  cos^2 θ / sin^3 θ

        sin^2 θ * cos^2 θ / sin^3 θ   =   sin θ  * cos^2 θ / sin^2 θ

        sin θ * cos^2 θ / sin^2 θ    =    sin θ  cos^2 θ

       Therefore, Therefore, The simplified expression is

       OPTION (B):   sin θ cos^2 θ,  

        sin^2 θ / csc θtan^2 θ  is   OPTION (B):   sin θ cos^2 θ,  

I hope this helps you!

Answer:

the answers will be the cd part because it's part the cost

Answer: -53, 53

Step-by-step explanation:

It’s asking for the slope first, so let’s find it:

First, let’s determine our coordinates.

We have (1, 930) and (6, 655).

The slope equation is \(\frac{y_1 - y_2}{x_1 - x_2}\), so let our (1, 930) be our x_1 and y_1, and (6, 655) be our x_2 and y_2.

So, we have,

= \(\frac{655-930}{6-1}\)

This simplifies to

= \(\frac{-265}{5}\)

which is -53.

Therefore, the slope is -53, so the balance decrease by $53 each month.

To find the local maximum, local minimum, and saddle points of the function f(x, y) = 3 sin(x) sin(y), we need to compute its partial derivatives with respect to x and y, and then find the critical points by setting the derivatives equal to zero.

First, let's find the partial derivatives:

∂f/∂x = 3 cos(x) sin(y)

∂f/∂y = 3 sin(x) cos(y)

Next, we set these derivatives equal to zero and solve for x and y:

For ∂f/∂x = 3 cos(x) sin(y) = 0:

cos(x) = 0   or   sin(y) = 0

If cos(x) = 0, then x = π/2 + nπ, where n is an integer.

If sin(y) = 0, then y = mπ, where m is an integer.

For ∂f/∂y = 3 sin(x) cos(y) = 0:

sin(x) = 0   or   cos(y) = 0

If sin(x) = 0, then x = nπ, where n is an integer.

If cos(y) = 0, then y = π/2 + mπ, where m is an integer.

Now, we can evaluate f(x, y) at the critical points (x, y) we found:

1) (x, y) = (nπ, mπ)

  f(x, y) = 3 sin(nπ) sin(mπ) = 0

  These are saddle points since the value of f is zero at these points.

2) (x, y) = (π/2 + nπ, mπ)

  f(x, y) = 3 sin(π/2 + nπ) sin(mπ) = 3\((-1)^n\) sin(mπ) = 0

  These are also saddle points since the value of f is zero at these points.

Therefore, the function f(x, y) = 3 sin(x) sin(y) has saddle points at all the critical points (x, y) = (nπ, mπ) and (x, y) = (π/2 + nπ, mπ), where n and m are integers. There are no local maximum or local minimum points for this function.

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Answer:-0.16666666666

Step-by-step explanation:

Answer:

To the Nearest Tenth?!

I got's you my G

= 161.7

Step-by-step explanation:

When the original price of an item is reduced by 40% for a sale, the new price is calculated by subtracting 40% of the original price from the original price.

To calculate the new price of an item after a 40% reduction, we need to subtract 40% of the original price from the original price.

Let's say the original price of the item is P. To find the new price, we subtract 40% of P from P. Mathematically, it can be expressed as:

New Price = Original Price - (40% of Original Price)

We can simplify the calculation by converting 40% to a decimal. 40% is equivalent to 0.40. Therefore, the calculation becomes:

New Price = Original Price - (0.40 * Original Price)

Simplifying further:

New Price = Original Price * (1 - 0.40)

New Price = Original Price * 0.60

So, when the original price of an item is reduced by 40% for a sale, the new price is 60% of the original price.

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Answer:

equation of line

step one

(7,-3) (x,y)

slope = y-(-3) = 4

x-7 1

= 4(x-7) = 1(y+3)

4x-28=y+3

4x-28-y-3 =0

4x-y-31=0

equation of line is = 4x-y-31=0

For the company to practice price discrimination, there should not be any resale of its product, is not true if a public utility company is considered a monopolist. This is because price discrimination involves charging different prices to different groups of customers based on their willingness to pay. Resale of the product can actually facilitate price discrimination as it allows different customers to buy the product at different prices and then resell it to others. The other options are true for a monopolist, such as having upward sloping demand and supply curves, charging a price higher than its marginal revenue, and determining profit maximizing quantity at the point where marginal revenue equals marginal cost.

Let's analyze each statement:

A. The company's demand curve and supply curve are upward sloping.
This statement is NOT true for a monopolist. A monopolist faces a downward sloping demand curve, which means that they can increase the quantity sold by lowering the price. The supply curve does not apply in the traditional sense for monopolists, as they have the power to set both the price and quantity produced.

B. Its price must be higher than its marginal revenue.
This statement is true for a monopolist. Under a monopoly, the price charged by the company is higher than its marginal revenue due to the downward-sloping demand curve.

C. For the company to practice price discrimination, there should not be any resale of its product.
This statement is true. In order for a monopolist to successfully engage in price discrimination, they must prevent the resale of their product, ensuring that consumers cannot undercut the monopolist's pricing strategy.

D. Its profit maximizing quantity is determined where its marginal revenue equals its marginal cost.
This statement is true. A monopolist maximizes its profit by producing the quantity where marginal revenue equals marginal cost, and then setting the price based on the demand curve at that quantity.

So, the statement that is NOT true for a public utility company considered as a monopolist is: A. The company's demand curve and supply curve are upward sloping.

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Answer:

n=643-12t

i had this question on an exam and got it right