What is the solution?

Answer:

The value of P(3,3) is 6

Step-by-step explanation:

We have to evaluate P(3,3)

As permutation can be calculated by the formula

Hence, the value of P(3,3) is 6

Answer:

\(\text{C. }g(x)=(x-5)^2\)

Step-by-step explanation:

The function \(y=(x-c)^2\) has a phase shift of \(c\) to the parent function \(y=x^2\). Since \(g(x)\) has moved to the right 5 units from the parent function \(f(x)=x^2\), we're looking for a value of \(c=5\).

Therefore, we have:

\(g(x)=\boxed{(x-5)^2}\)

Answer:

50

Step-by-step explanation:

The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.

The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:

V = (π/3) · R² · h     (1)

s = 2π · R     (2)

Where:

If we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:

\(R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }\)    

\(R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }\)

R ≈ 4.583 ft

s = 2π · (4.583 ft)

s ≈ 28.796 ft

The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. \(\blacksquare\)

The statement is complete, complete form is introduced below:

A farmer plans to buid the small silo  to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?

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Answer:

S₁₆ = 328

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₄ = 7 and a₇ = 16 , then

a₁ + 3d = 7 → (1)

a₁ + 6d = 16 → (2)

subtract (1) from (2) term by term to eliminate a₁

0 + 3d = 9

3d = 9 ( divide both sides by 3 )

d = 3

substitute d = 3 into (1) and solve for a₁

a₁ + 3(3) = 7

a₁ + 9 = 7 ( subtract 9 from both sides )

a₁ = - 2

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

with a₁ = - 2 and d = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 2) + (15 × 3) ]

     = 8(- 4 + 45)

     = 8 × 41

     = 328

Perimeter of the soccer field is 306 meters.

A shape's perimeter  is defined as the total length of its bounds. The perimeter of a shape is determined by summing all sides and side lengths that enclose the shape. It is measured in linear measurement units such as centimeters, meters, inches, and feet.

Given,

Length of the soccer field = 98 meters

Width of the soccer field = 55 meters wide

Perimeter of rectangle = 2(Length + Width)

Perimeter of soccer field = 2(98 + 55)

Perimeter of soccer field = 2(153)

Perimeter of soccer field = 306 meters

Hence, 306 meters is the perimeter of the soccer field.

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The probability of picking a dime from the coins in his pocket is 1/13

1 penny = 1 cent

Hence, 100 pennies = $1

1 nickel = 5 cent

20 nickels = $1

1 dime = 10 cent

10 dime = $1

This means that :

Eduardo has :

Total coins = (100 + 20 + 10) = 130 coins

Recall :

Probability = required outcome / Total possible outcomes

P(dime) = number of dimes / total coins

P(dime) = 10 / 130 = 1/13

Hence, the probability of picking a dime = 1/13

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Answer:

146 since the angle is a central that its measure is equal to the arc

Function has an input and an output. Generally, a function relates each value of a set with exactly one value of another set. According to our definition the function in the relation below will be

All the other options has a x value that is related to more than one values in y.

cos^-1(x) represents the inverse of cos(x).

Answer:

Step-by-step explanation:

4 - 5= -1  same as 4 + -5

19 - (-6) = 25  subtracting a negative is the same as adding a positive becuase of the two negative signs.

-5 - 4 = -5 + -4 = -9

-10 - 12 = -10 + -12 = -22

-8 -(-7) - again two negatives make a positive ity becomes

-8 + 7 = -1

-12 - 10 - same as adding a negative becomes -12 + -10 = -22

Answer:

14

6x - (3y + 7) = cube

Step-by-step explanation:

The circle has a diameter of 10 and a radius of 5

the radius times itself ( 5 x 5 ) = 25

25 times pi (3.14) = 78.5

so the circle is 78.5, lets say square cm.

and the circumference is 31.41593 or 31.42  

we need to find the center point and the length of the radius. The center point is at 5. 1.  so h = 5  and  k = 1

Now let’s count from the center to a point on the circumference to find the length of the radius. 5

The radius is 5 so  r = 5

Now let’s plug everything into the standard form of a circle.

(x - h)²+ (y - k)² = r²

Answer:

12 gallons

Step-by-step explanation:

Given the following :

Total amount of gas used by aircraft = 51 gallons

Flight departure time = 9:30 a.m

Arrival time of flight = 1:45p.m

Number of hours traveled by flight:

Arrival time - Departure time

1:45pm - 9:30a.m = 4hrs 15 minutes = [(60*4)+15] minutes = 240 + 15 = 255 minutes

Amount of gallons used per hour :

255 minutes = 51 gallons

I minutes = x

255x = 51 gallons

x = 51 / 255

x = 0.2 gallons

0.2 gallons per minute

1 hour = 60 minutes

Number of gallons per hour = (0.2 * 60) = 12 gallons

Answer:

B = 119

C = 119

Step-by-step explanation: 180 - 61

B and C are vertical angles

Answer:

9 13

a_. b=_

3 3

Step-by-step explanation:

it's that because you can devid 9 by 3

Answer: 20 years

Step-by-step explanation:

Answer:

640

Step-by-step explanation:

=32-0.05W

We move all terms to the left:

-(32-0.05W)=0

We add all the numbers together, and all the variables

-(-0.05W+32)=0

We get rid of parentheses

0.05W-32=0

We move all terms containing W to the left, all other terms to the right

0.05W=32

W=32/0.05

W=640

A vertex can be found in many different kinds of graphs. The graphs of the quadratic function and the absolute value function are two examples of this. The graph's vertex is where the direction of the line changes.

Using the conventional equation \(y = ax_2 + bx + c\), obtain h(x-coordinate of the vertex) = -b/2a, and then locate y at h to obtain k. (the y-coordinate of the vertex).

Absolute value equations are those in which a variable is enclosed by an absolute value operator, such as \(\[|3x-6|\]\)A number's absolute value is determined by its sign; if it is positive, it is equal to the number: \([|5|=5\]\). The absolute value of a number is its opposite if it is negative: \(\[|-5|=5\]\). So, when working with a variable, we must take into account both scenarios.

In the indicated equation, \(\[y=a|x-h|+k\].\) Variable x exists. Allow m to be the equation's slope. slope  \(\[m=a\]\) on the right side of the vertex that is \([x > h\]\) and slope \(\[m=-a\]\) The vertex is [x] on its left side. We must locate an absolute value equation's vertex in order to answer the query.

the center of an equation with absolute values \(\[y=a|x-h|+k\]\)is \(\[(h,k)\].\)Looking at the equation that is can help us locate a vertex. \(\[(h,k)\]\). As a result, by examining it, we may determine the vertex of an equation for absolute value, which is  \(\[(h,k)\] [y=a|x-h|+k\]\).

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Answer:

The correct answer is D

Step-by-step explanation:

Answer:

Down Below

Step-by-step explanation:

Answer:  134 degrees.

1) The opposite angle to m<CGE is also 85, they are equal since they are split by 2 lines. We know the whole angle of m<AGD is 146.

2) We also know that the angle of a straight line is 180.

3) 180-146 Should get you the answer of 134 degrees  

Hope this helps :)

Answer:

C.

hope this helps :)

Answer:

$326.94

Step-by-step explanation:

For this equation you are going to do a exponential function, since we are working with percents. To do this you will make the equation

(starting price)x(1-percent)^(t) t=years

which will create the equation

800(0.88)^t

You will then plug in t=7

800(0.88)^7 =

800(0.409) =

326.94 (you will cut it off at the hundredth position because it is working with money)

Answer:

Step-by-step explanation:

Let the total points be x

Mark earned 90% of x which is 108 points:

Total points were 120

a function that transforms the parent root function with a horizontal compression by a factor of 5 and a downward shift of 10 units is: \(f(x) = \sqrt[n]{5x} -10\)

The function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the another variable).

A function is described as a relationship between a group of inputs and one output each. A function is, to put it simply, a connection between inputs in which each input is connected to exactly one output.

Parent root function is given by:

\(f(x) = \sqrt[n]{x}\)

According to rules-

Combining these 2 transformation gives us the function: \(f(x) = \sqrt[n]{5x} -10\)

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Answer:

i am pretty sure the answer is d.

Step-by-step explanation:

let me know if this is wrong

Answer:

-207

Step-by-step explanation:

assume the answer is x

x=15*-16*-23*-1

=-240+23

=-207

answer:

−5520x³

step by step explanation:

15 x ( − 16 ) x ( − 23 ) x ( − 1 )

= 15 * x * ( − 16 ) * x * ( − 23 ) * x * ( − 1 )

= − 5520 * x³

= − 5520x³

Answer:

part A-   24/6   8/2    36/9

part B-   35/5   7/1      21/3

(just multiply the number you have for each question together. Ex 5= ?/4, 5x4 =20)

So the answer is: the first arc should pass through point B (not A). All other elements in the diagram appear to be correct.

The elements or members of a set are the parts that make it up. To divide the components of a set, commas and two curly (idle) braces are typically employed. Capital letters are always used to print the set's name. The set "A" in this context consists of the letters v, w, x, y, and z.

Based on the given diagram and instructions, it appears that the error in the construction is that the first arc is centered at point C instead of point A. The correct procedure for constructing a line parallel to line AB and passing through point P is as follows:

1.Draw a line AB and mark point P not on line AB.

2.From point P, draw an arc that intersects line AB at points D and E.

3.Draw another arc, centered at point D, with the same radius as the first arc. This arc should intersect the first arc at point F.

4.Draw a line through point P and point F. This line is parallel to line AB and passes through point P.

So the answer is: the first arc should pass through point B (not A). All other elements in the diagram appear to be correct.

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The third arc should be drawn centred at F.

What is an arc?

In geometry, an arc is a curved segment of a circle or any curved line. It is a part of a curve that is bounded by two distinct endpoints and is characterized by its length, its curvature, and its central angle.

Constructing a parallel line to line AB and passing through point P.

To find:

The error occurred in the construction.

The procedure is,

The first arc must be drawn centred at C.

The second must be drawn centred at P.

Finally, the third arc must be drawn centred at F.

But here, the third arc is drawn centred at D. This is wrong.

The correct step is that the third arc must be centred at F.

Hence, The third arc should be drawn centred at F.

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Answer:

d=20

Step-by-step explanation:

To find the distance between 2 points we use the distance formula

d = √(x2 - x1)²+(y2 - y1)²

The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).

Substitute the given points into the distance formula.

d = √(4 + 8)²+(10 +6)²

d = √144+252

d= √400

d = 20