with one of these is a function
a
b
c
d​

Step-by-step explanation:

\(a = \pi {r}^{2} \\ a = \pi {5}^{2} = 78.5 \: {in}^{2} \)

Answer:

The area of this circle is 78.5

Step-by-step explanation:

The area of a circle can be calculated with the equation πr². r stands for "radius", the distance between the center of the circle to any point of its edge which also equals to half of a circles diameter. Since the diameter of this circle is 10 in., its radius is

\(r = d/2 = 10/2 = 5\\\)

Then, we use this to find the area

Area =\(\pi r^2=\pi (5)^2=25\pi=78.5\) (rounded to the first decimal place)

Answer:

3(3x+7)

Step-by-step explanation:

The graph of \(g(x)\) opens downward and is shifted to the right 6 and up 3 units.

Let be \(f(x) = x^{2}\), we need to apply the following three rigid transformations on \(f(x)\) to obtain \(g(x)\):

Hence, the graph of \(g(x)\) opens downward and is shifted to the right 6 and up 3 units. \(\blacksquare\)

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Answer:

The graph of  opens downward and is shifted to the right 6 and up 3 units.

Answer:

-5

Step-by-step explanation:

The formula for the volume of a cone is:

\(1/3\pi r^{2} h\)

The formula for the volume of a cylinder is:

\(\pi r^2h\)

The formula for the volume of a triangular prism is:

\(bh\)

The formula for the volume of a pyramid is:

\(1/3bh\)

The formula for the volume of a rectangular prism is:

\(lwh\)

Answer:

\(1)lwh = rectangular \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: prism \\ 2)bh = traingular \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: prism \\ 3) \frac{1}{3} bh = pyramid \\ 4)\pi {r}^{2} h = cylinder \\ 5) \frac{1}{3} \pi {r}^{2} h = cone\)

hope this helps you.

Answer:

-12xf+49xg

Step-by-step explanation:

2xf(-6)-7xg(-7)

-2xf*6+7xg*7

Gives you -12xf+49xg

Answer: wym

Step-by-step explanation:

The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).

An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.

A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.

According to the given information:

To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.

a) (3,-3):

y = 2x - 3

-3 = 2(3) - 3

-3 = 3

This is not true, so (3,-3) is not on the graph.

b) (0,-3):

y = 2x - 3

-3 = 2(0) - 3

-3 = -3

This is true, so (0,-3) is on the graph.

c) (5,7):

y = 2x - 3

7 = 2(5) - 3

7 = 7

This is true, so (5,7) is on the graph.

d) (-2,-7):

y = 2x - 3

-7 = 2(-2) - 3

-7 = -7

This is true, so (-2,-7) is on the graph.

e) (2,1):

y = 2x - 3

1 = 2(2) - 3

1 = 1

This is true, so (2,1) is on the graph.

f) (4,5):

y = 2x - 3

5 = 2(4) - 3

5 = 5

This is true, so (4,5) is on the graph.

Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).

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Answer:

37.76

Step-by-step explanation:

it easssyy i guess

Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

Take a look at the 'proof' below

Step-by-step explanation:

The questions asks us to determine the anti-derivative of the function f(x) = 4x^3 \(*\) sec^2 \(*\) x^4. Let's start by converting this function into integral form. That would be the following:

\(\mathrm{\int \:4x^3sec^2x^4dx}\)

Now all we have to do is solve the integral. Let's substitute 'u = x^4' into the equation 'du/dx = 4x^3.' We will receive dx = 1/4x^3 \(*\) du. If we simplify a bit further:

\(\mathrm{\int \:\:sec^2\left(u\right)du}\)

Our hint tells us that d/dx \(*\) tan(x) = sec^2(x). Similarly in this case our integral boils down to tan(u). If we undo the substitution, we will receive the expression tan(x^4). Therefore you are right, the first option is an anti-derivative of the function f(x) = 4x^3 \(*\) sec^2 \(*\) x^4.

Answer:

a)

The equation would be:

b)

Step 1. Subtract 2 from both sides:

Step 2. Divide both sides by 3:

c)

a) Solution:

The equation that is represented by the diagram below will be,

→ 3x + 2 = 7 × 2

b) Solution:

The steps that can be taken are,

→ 3x + 2 = 7 × 2

→ 3x = 14 - 2

→ 3x = 12

→ x = 12/3

→ [x = 4]

c) Solution:

A single box weighs 4 units (kg), because the required value of x is 4.

Answer:

You would need to put points at:

(-4,6)

(-3,5)

(-2,4)

(-1,3)

(0,2)

(1,1)

(2,0)

(3,-1)

(4,-2)

(5,-3)

(6,-4)

The graph will look like the one attached:

Hope this helps!!

- Kay :)

Answer:

\([7\times(-2)]^5 = 7^5 \times (-2)^5\)

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

All of the angles add up to 180

That means you should add both of the totals of the angles that are given and subtract that number from 180. In this case, it would be...

90+31 =121

180-121 = 59

Answer:

1/1 I think I hope this helps

Step-by-step explanation:

Answer:

1.275

11.5

2.002

0.68

2

0

12

Step-by-step explanation:

Evaluate Z/8 for each :

Z = 10.2 ; 10.2 / 8 = 1.275

Z = 92 ; 92/ 8 = 11.5

Z = 16.016 ; 16.016 / 8 = 2.002

Z = 5 4/9 ; (49 /9) ÷ 8 = 0.68

Evaluate each expression below if m = 32 and n = 150

m/16 ; 32 / 16 = 2

2N - 200 ; 2(150) - 300 = 300 - 300 = 0

3/4M -12 ; 3/4(32) - 12 = 24 - 12 = 12

Answer:

1000

Step-by-step explanation:

10^3 in standard form is 1000.

Answer:

The answer is -13x+4

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

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Answer:

He has 2 lbs. left over for cookies.

Step-by-step explanation:

I got this answer by first adding 1/2 + 1  1/2 = 2. Then subtracting 2 from 4 witch would be 2 lbs. left over.

Answer:

\(\mid x-6 \mid \geq 0\)

Step-by-step explanation:

We have two options for x; it is either 6 or greater than 6:

If \(x=6\\\), \(\mid x-6 \mid = \mid 6-6 \mid = \mid 0 \mid = 0\\\).

If \(x > 6\), \(\mid x-6 \mid > \mid 6-6 \mid\) => \(\mid x-6 \mid > 0\).

(for example, if \(x=7\\\), \(\mid x-6 \mid = \mid 7-6 \mid = \mid 1 \mid = 1 > 0\))

So, \(\mid x-6 \mid = 0\) or \(\mid x-6 \mid > 0\); \(\mid x-6 \mid \geq 0\).

The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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Answer:

The value is  \(E(X) = 4 \ days\)

Step-by-step explanation:

From the question we are told that

   The mean is  \(\mu = 36^oC\)

    The standard deviation \(\sigma = 3^oC\)

Generally the probability that in June , the midday  temperature is between  

39°C and 42°C is mathematically represented as

      \(P(39 < X < 42) = P(\frac{39 - 36}{3} < \frac{X - \mu }{\sigma} < (\frac{42 - 36}{3} )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

      \(P(39 < X < 42) = P(1 < Z <2 )\)

=>   \(P(39 < X < 42) = P(Z < 2) - P( Z <1 )\)

From the z table  the area under the normal curve to the left corresponding to  1 and  2  is

     P(Z   < 2)  = 0.97725

and

    P(Z   < 1)  = 0.84134

    \(P(39 < X < 42) = 0.97725 - 0.84134\)

=>  \(P(39 < X < 42) = 0.13591\)

Generally number of days in June would you expect the midday temperature to be between 39°C and 42°C

      \(E(X) = n * P(39 < X 42 )\)

Here n is the number of days in June which is  n = 30

       \(E(X) = 30 * 0.13591\)

=>    \(E(X) = 4 \ days\)

Answer:

True

Step-by-step explanation:

1,760 yds = 1 mile, 1,760 ÷ 2 = 880

The points which represents a the solution are: A, C, D and K

What are coordinates?

Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)

The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

Note only if

If the given inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2

It will be the same solution.

Hence, The  points A, C, D and K are a solution to the system of inequalities.

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Answer:$6.992

Step-by-step explanation:

205+232=437

437×16=6.992

The total ticket revenue is $6992 if the school plays 205 students to buy tickets and 232 adults to buy tickets all tickets cost 16.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

For the school play 205 students buy tickets and 232 adults buy tickets all tickets cost 16.

Let x be the total ticket revenue.

The value of x can be found as follows:

The linear equation in one variable:

x = 16(205 + 232)

x = 16(437)

x = $6992

Thus, the total ticket revenue is $6992 if the school plays 205 students to buy tickets and 232 adults to buy tickets all tickets cost 16.

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The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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