Identify the area of the kite.

Using the volume of a sphere, the total volume of air inside six of Jake's basketballs is of 2140.8 cubic inches.

The volume of a sphere of radius r is given as follows:

[tex]V = \frac{4\pi r^3}{3}[/tex]

From the problem, since the properly inflated basketball measures 8.8 inches across, the diameter is of 8.8 inches, hence the radius is:

r = 8.8/2 = 4.4 inches.

Then the volume in cubic inches of a single ball is:

V = 4 x pi x (4.4)³/3 = 2140.8 cubic inches.

For the six balls:

6 x 356.8 = 2140.8 cubic inches.

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Given that a is an acute angle in a right triangle, cos a = [tex]\frac{15}{17}[/tex]. The trigonometric ratio sin a = [tex]\frac{8}{17}[/tex] and tan a = [tex]\frac{8}{15}[/tex].

The trigonometric ratios are six different proportions of the three sides of right angled triangle, namely, hypotenuse, perpendicular and base. The trigonometric ratios are sine, cosine, tan, sec, cosec and cot.

In any question,

cos a = [tex]\frac{base}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]

hypotenuse = side opposite of the right angle = 17

base  = side adjacent to the acute angled marked =  15

[tex]hypotenuse^{2} = perpendicular ^2+base^2\\\\perpendicular = \sqrt{hypotenuse^2-base^2}[/tex]

perpendicular = [tex]\sqrt{17^2- 15^2} = 8[/tex]

sin a = [tex]\frac{perpendicular}{hypotenuse} = \frac{8}{17}[/tex]

tan a = [tex]\frac{perpendicular}{base} = \frac{8}{15}[/tex]

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Answer:

6x³ + 14x² + 6x - 12

Step-by-step explanation:

(3x - 2)(2x² + 6x + 6)

6x³ - 4x² + 18x² - 12x + 18x - 12

6x³ + 14x² + 6x - 12

Answer: 6x³+14x²+6x-12

Step-by-step explanation:

Here, we can use the distributive property to multiply one of the factors by each term in the other. Below, I multiplied [tex]2x^2 + 6x + 6[/tex] by both 3x and -2.

[tex](2x^2+ 6x + 6) (3x - 2)\\3x(2x^2+ 6x + 6)-2(2x^2+ 6x + 6)\\6x^3+18x^2+18x-4x^2-12x-12[/tex]

Now, we can rearrange so that like terms are next to each other. Then, we can combine them to simplify.

[tex]6x^3+18x^2+18x-4x^2-12x-12\\6x^3+18x^2-4x^2+18x-12x-12\\6x^3+14x^2+6x-12[/tex]

Answer:

1. AC is perpendicular to BD

1. Given

2. ACB is a right angle

2. Definition of perpendicular lines

3. Triangle ACB is a right triangle

3. Definition of right triangles

4. Angles 1 and 3 are complementary

4. Interior angles of a triangle add up to 180 degrees (Triangle Interior Angle Sum Theorem), and m<ACB = 90 degrees (definition of right angles), so m<1 + m<3 = 90 degrees (subtraction property of equality). By the definition of complementary angles, angles 1 and 3 are complementary.

Answer:5.50 a hour

Step-by-step explanation:

Answer:

This study uses random sampling

This study uses a control group

This study uses a repeated measures design ​

Answer:

this study uses random sampling

this study uses a control group

this study uses a repeated measures design ​

Step-by-step explanation:

plato 2022

Fitted value is a prediction of the mean response value.

According to the statement

we have to explain the fitted value for the regression model and the data which uses to collect the value.

So, For this purpose, we know that the  

A Fitted value is a statistical model's prediction of the mean response value when you input the values of the predictors, factor levels, or components into the model.

An the fitted value used in this model is called the predicted values of response variable in the case of multiple regression model.

And data which is used to create the fitted value is the simple data by which we create the fitted value by the predict the value of given data.

So, Fitted value is a prediction of the mean response value.

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Answer:

Neither

Step-by-step explanation:

This function isn't even, because

[tex]f(x) = f( - x)[/tex]

Basically this mean for every x opposites the y value should be the same.

Here, 6 and -6 doesn't share the same y value, nor as -3,and 3.

This function isn't odd because

[tex]f( - x) = - f(x)[/tex]

Basically, this means our y values should be reflected about the orgin,

here, the y values does not switch signs for every x value and it's opposite itself , so this function isn't odd.

So The answer is neither

The simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.

To find the simplified expression:

Given -

Thus,

Therefore, the simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.

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The complete question is given below:
Joy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x - 2) miles. Which simplified expression is equivalent to the total distance, in miles, Joy covers?

(A) x2 + 3x + 5

(B) x2 + 3x + 9

(C) 3x2 + 5

(D) 3x2 + 9

Answer:

The person on top is right.

ITS A

Step-by-step explanation:

Answer:

10724.29

Step-by-step explanation:

mean means average

so to find an average you add everything together then divide it by the amount of variables

m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7

m = 75070/7

m = 10724.2857143

m = 10724.29

Answer:  25 pounds

Step-by-step explanation: 100% - 20% = 80%

20 divided by 80% = 25

The arrow hits the top of a 3 meters tall wigwam at 0.054 seconds

The complete question is added as an attachment

The function is given as:

[tex]h(t) = -9.8t^2 + 28t + 1.5[/tex]

Set the height to 3

[tex]-9.8t^2 + 28t + 1.5 = 3[/tex]

Subtract 3 from both sides

[tex]-9.8t^2 + 28t - 1.5 = 0[/tex]

Apply the following quadratic formula

[tex]t = \frac{-b \pm \sqrt{b^2- 4ac}}{2a}[/tex]

So, we have:

[tex]t = \frac{-28 \pm \sqrt{28^2- 4*-9.8*-1.5}}{2*-9.8}[/tex]

This gives

[tex]t = \frac{-28 \pm \sqrt{725.2}}{-19.6}[/tex]

This gives

[tex]t = \frac{-28 \pm 26.93}{-19.6}[/tex]

Expand

[tex]t = \frac{-28 + 26.93}{-19.6}[/tex] and [tex]t = \frac{-28 - 26.93}{-19.6}[/tex]

This gives

t = 0.054 and t = 2.80

0.054 is less than 2.80

This means that the arrow hits the top of a 3 meter tall wigwam at 0.054 seconds

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Step-by-step explanation:

1500*.02*1=30

50*12*1=60

g(x)=50(12x) good

Answer:

Step-by-step explanation:

You can only multiply matrices if the number of columns in the matrix on the left is the same exact number as the number of rows in the matrix to the right of that other matrix.

The matrix on the left, |5 -2  4| has the dimensions

                                      1 x 3 (1 row, 3 columns)

The matrix to its right, |2  7  -3| has the dimensions

                                      1 x 3 (1 row, 3 columns).

Putting those dimensions next to each other in that order:

                  1 x 3     1 x 3

The bold print 3 and 1 have to be the same number (both 3's or both 1's) in order for the multiplication to work. This doesn't work; it's impossible.

Answer: -16

Step-by-step explanation:

i was on a unit exam typing in random numbers since i didn't know it and -16 is the right answer.

Flux is zero since asked in [tex]\pi[/tex] is [tex]0\pi[/tex].

Flux is the presence of a pressure field in a detailed physical medium or the glide of electricity through a surface. In electronics, the term applies to any electrostatic field and any magnetic subject. Flux is depicted as "traces" in a plane that contains or intersects electric powered fee poles or magnetic poles.

The definition of flux is a flow of liquid from the body, or a regular movement or exchange. An instance of flux is diarrhea. An example of flux is an ever-converting list of the responsibilities of a particular process. regular or frequent alternate; fluctuation.

Flux is a go-platform computer program that adjusts a show's color temperature in keeping with vicinity and time of day, offering practical respite for the eyes. the program is designed to reduce eye stress at some stage in night-time use, supporting reducing the disruption of sleep patterns.

Our field is IR^3 be,

F= (bz-cy,cx-az,ay-bx)

Now divergence theorem says that Flux can be calculated by

[tex]\int\limits^ {} \, F.n = \int\limits^ {} \,( c.F) dv[/tex]

Now let's calculate the divergence of a vector field

F = (ia/ax + ja/ay + k*a/az)*((bz-cy)i+((x-dz))+(ay-bx)*k)

a/ax(bz-cy)+a/ay(cx-az)+a/az(ay-bx)

= 0+0+0

=0

Flux is zero since asked in [tex]\pi[/tex] is [tex]0\pi[/tex].

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standard form of the given equation are

-f(*) = (x + 2)(x - 6) = x² - 4x - 12

f(x) = (x - 4)(x + 3) = x² - x - 12

f(x) = (x - 12)(x + 1) = x² - 11x - 12

f(x) = (x -3)(x + 4) = x² + x - 12

A polynomial function with one or more variables in which the second-degree term is the highest degree is known as a quadratic function, quadratic polynomial, polynomial of degree 2, or simply a quadratic, in algebra.

As long as an is not equal to zero, the quadratic function f(x) = a(x - h)2 + k is considered to be in standard form. The graph starts out in either an upward or a downward direction depending on the value of a. The point at the vertex of the symmetry is represented by the vertical line x = h. (h,k).

The standard form list.

1 .   (x + 2)(x - 6)

= x² - 6x + 2x - 12

=  x² - 4x -12

2.  (x - 4)(x + 3)

    = x² + 3x - 4x - 12

   =   x² - x - 12

3. (x - 12)(x + 1)

    = x² + 1x - 12x - 12

    =  x² - 11x - 12

4.  (x -3)(x + 4)

    =   x² + 4x - 3x - 12

     = x² + x - 12

So the equivalent standard form  of the give values are :

-f(*) = (x + 2)(x - 6) = x² - 4x - 12

f(x) = (x - 4)(x + 3) = x² - x - 12

f(x) = (x - 12)(x + 1) =  x² - 11x - 12

f(x) = (x -3)(x + 4) = x² + x - 12

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I understand that the question you are looking for is:

Match each quadratic function given in factored form

with its equivalent standard form listed on the left.

f(x) = (x + 2)(x – 6)

f(x) = (x – 4)(x+3)

f(x) = (x – 12)(x+1)

f(x) = (x – 3)(x +4)

Answer:

1. 16

2. 24

3. 75

Step-by-step explanation:

The expression for 3(5 - 2) + (5 - 1) is 13.

Given: 3(x-2) + (x-1)

           3x-3(2)+x-1

           3x - 6 + x - 1

Compared 3(x -2) + (x - 1) with 3(5 - 2) + (5 - 1), the value of x is 5.

Substitute x = 5 into the result

           3x - 6 + x - 1

           3(5) - 6 + 5 - 1

           15 - 1 - 1

           15 - 2 = 13

The expression for 3(5 - 2) + (5 - 1) is 13.

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Answer:

With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.

Step-by-step explanation:

had it correct in edg

Answer:

Step-by-step explanation:

Begin by changing the radical form to exponential form:

[tex]((1024w^{-2}x^{-3}y^6z^{-1)^2)^{\frac{1}{5} }[/tex]  There are a couple of ways to do this, but let's distribute the power of 2 into the parenthesis first by using the power to power rule of multiplication:

[tex](1024^2w^{-4}x^{-6}y^{12}z^{-2})^{\frac{1}{5}[/tex]  Now we can use the same rule of power to power and distribute the power of 1/5 in:

[tex]1024^{\frac{2}{5}}w^{-\frac{4}{5}}x^{-\frac{6}{5}}y^{\frac{12}{5}}z^{-\frac{2}{5}[/tex]

The first term simplifies down to 16, and then in order to make the negative exponents positive, we move them to the denominator of a fraction, leaving the positive one where it is:

[tex]\frac{16y^{\frac{12}{5}} }{w^{\frac{4}{5}}x^{\frac{6}{5} }z^{\frac{2}{5} } }[/tex] which is the third choice down

Step-by-step explanation:

f(a):

   So for this you simply plug in "a" as x, and this doesn't really do anything beside replace all values with x, so you just have the equation:

  [tex]f(a) = 5a+4[/tex]

2 f(a):

   So for this one, you want to represent f(a) using the equation it's equal to (5a + 4), and substitute it in for f(a). In doing so, you get the expression:

   2*f(a) -> 2(5a + 4) -> 10a + 8

f(2a):

   So this is very similar to the first question, although you will have to do some multiplication. So just plug in 2a as "x" to get the equation:

   [tex]f(2a) = 5(2a) + 4 = 10a+4[/tex]

f(a+2):

   Basically the same process, you plug in (a+2) as "x" and simplify:

   [tex]f(a+2) = 5(a+2) + 4\\f(a+2) = 10a+10+4\\f(a+2) = 10a+14[/tex]

f(a) + f(2):

  This is similar to the second question, and you simply want to replace the f(a) with the equation that represents it (5a + 4) and same thing for f(2) = 5(2) + 4

   [tex]f(a) + f(2) = (5a+4)+(5(2)+4) \\f(a) + f(2) = (5a+4)+(10+4)\\f(a)+f(2) = (5a+4) + (14)\\f(a) + f(2) = 5a+18[/tex]

Answer:

$14.15

Step-by-step explanation:

6+4+.75+.4

There are (A) 2.7 bacterias initially.

To find the number of bacteria:

Therefore, there are (A) 2.7 bacterias initially.

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The correct question is given below:
The growth of a strain of bacteria can be modeled by

the function graphed, where the x-values are the time

in seconds and the y-values are the number of

bacteria. How many bacteria are there initially?

(A) 2.7

(B) 2.8

(C) 4

Answer:

mine was b 2.7

Step-by-step explanation:

The average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].

According to the given question.

We have a function.

F(x) = 3x^2

Since, we know that " the average value of a function is found by taking the integral of the function over the interval and dividing by the length of the interval".

Here, the given interval is [-3, 3]

Therefore, the length of the interval = 3 - (-3) = 3 + 3 = 6

Now, the average value of the given function f(x)

[tex]=\frac{1}{6} \int\limits^3_{-3} {3x^{2} } \, dx[/tex]

[tex]= \frac{1}{6} [\frac{x^{3} }{3} ]_{3} ^{-3}[/tex]

[tex]= \frac{1}{6} \frac{(3)^{3} -(-3)^{3} }{3}[/tex]

[tex]= \frac{1}{18} (27 + 27)[/tex]

= 2(27)/18

= 27/9

= 3

Hence, the average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].

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Answer:

Step-by-step explanation:

23 - (-2)

= 23 + 2

= 25

1) The mistake you made was to subtract 2 from 23 instead of  subtracting -2 from 23.

2) Keep in mind the difference between the '-'  used as a subtraction and the '-' used for indicating a negative number.

If you like, remember the mantra ' 2 negatives make a '+'.:-

2 - -4

= 2 + 4= 6.

Answer:

  (c)  40.5 square units

Step-by-step explanation:

Assuming the kite is oriented so its diagonals are parallel to the sides of the square, each diagonal is 9 units long. The area of the kite is given by an appropriate formula.

A kite is a parallelogram with two pairs of adjacent congruent sides. Its diagonals meet at right angles. One diagonal bisects the other.

The formula for the area of a kite is ...

   A = 1/2(d1)(d2) . . . . . where d1 and d2 are the lengths of the diagonals

In this problem, the inscribed kite has congruent diagonals, both of length 9 units.

The area of the kite is ...

  A = 1/2(9)(9) = 81/2 = 40.5 . . . . square units

the function is increasing from x = 0 to x = 1

when x = 0, y = 2

when x = 1, y = 8

this shows an increase of +6, so we know this statement is true

we can see the rest are false simply because they state a decrease when there is an increase. this question is only confusing because we ask you about the increase and decrease in the function, when really its the same thing as asking about an increase or decrease in the y variable.

in other words, all youre looking for is the variation of the value of the y variable that is attached to the specific x variables.

hope this helps!!

Answer:

23 children and 9 adults

p <= 70/9

Step-by-step explanation:

Let x = # of adults and y = # of children. The number of children is 5 more than twice the number of adults, so x = 2y + 5. The total cost of entrance is $6525, so 225x + 150y = 6525.

x = 2y + 5

225x + 150y = 6525

x - 2y = 5

225x + 150y = 6525

75x - 150y = 375

225x + 150y = 6525

300x = 6900

x = 23

x = 2y + 5

23 = 2y + 5

18 = 2y

y = 9

225p + 3750 <= 5500

225p <= 1750

p <= 70/9

Step-by-step explanation:

Transcribed image text: Choosing a Photo Francesca wants to give one of her photographs to a friend as a gift. Help her choose the photograph and determine the style and size of the mat she can afford 1. Describe the design and original dimensions of the photo you chose for Francesca to give as a gift. 2 points: 1 point for describing the photo and 1 point for including the dimensions) Photo description: The photo Shous Francasca and has Friend huagina. Dimensions (including units): The still Photo is a Xg meaning its width is indas and Langth is gind Finding the Total Area of the Photo and Mat 2. Francesca wants to glue her photo on top of a mat that will increase the length of each side. The mat border has a width of x, so the length of each side would increase by 2x inches. Represent the length and width of the mat with an expression. (2 points) Length: Width: 3. The area of the mat is the product of the length and width. Write an expression for area as the product of two binomials. Do not multiply.(1 point)