How much space will the tissue box take up on
my desk if the base dimensions are 3.5 inches
and 8 inches?
square inches
Hint: Find the area of the base of the tissue box.

Answer:

C.

Step-by-step explanation:

The rate of change of a linear function is usually constant and the same between any two coordinate pairs all through.

Rate of change is given as ∆y/∆x.

For the table in option C, the rate of change is constant all through.

We have: (12 - 8)/(3 - 2) = (16 - 12)/(4 - 3) = (20 - 16)/(5 - 4) = 4

Rate of change of constant all through. If we graph the table of values, we'd get a straight line.

Therefore, the table in option C represents a linear function.

Answer:

c

Step-by-step explanation:

In order to decrease the margin of error, the best option in this instance is by decreasing the confidence level would make the interval to be narrower.

The correct option is D.

The margin of error, also known as the confidence interval, provides information on how closely your survey results will likely reflect the opinions of the general community.

The margin of error is a measure of the potential uncertainty in your survey results. It is more likely that the results will deviate from the "true figures" for the entire population the wider the margin of error.

Learn more about margin of error at: https://brainly.com/question/10218601

#SPJ1

The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

for such more question on height

https://brainly.com/question/27987869

#SPJ11

Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer: No

Step-by-step explanation:

It is computed by considering sample mean in the center.

But here 10 does not lie in the center of  (5, 11), as distance between 10 and 5 = 5 units but  distance between 10 and 11 = 1 unit

2 different margin of errors cannot be possible.

Hence, the given confidence interval is not valid.

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

Answer:

  D.  f(x) = (9x)² +2

Step-by-step explanation:

The function transformations we usually study include horizontal and vertical expansion (or compression), and horizontal and vertical translation. These can be summarized in the equation ...

  g(x) = v·f((x -a)/h) +b

where v and h are vertical and horizontal expansion factors, respectively, and (a, b) is the (right, up) translation.

__

The graph of F(x) has had its vertex moved 2 units upward (b=2), It is distinctly narrower than G(x), which could be the result of vertical expansion (v>1), or horizontal compression (h<1). Since the graph of F(x) has been compressed horizontally, the value of h must be less than 1.

__

There are two answer choices with b=2.

Choice B has h=3, a widening of the graph. Choice D has h=1/9, a narrowing of the graph.

The equation of the graph could be F(x) = (9x)² +2. The attachment shows this is an appropriate choice.

_____

Additional comment

You will notice that in this function, the vertical expansion factor is the reciprocal of the square of the horizontal expansion factor. In this case, h=1/9 is equivalent to v=81, a vertical expansion by a factor of 81.

  F(x) = (x/(1/9))² +2 = 81x² +2

The given graphs are not detailed enough to be able to judge either of these factors directly. We can estimate that h=1/9 is approximately correct by looking at the values of x where the graph has its upper boundary. At those points, x≈3 on the G(x) graph, and x<1/2 on the F(x) graph, consistent with a value of about x=1/3. The "expansion" factor is then (1/3)/3 = 1/9.

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

More can be learned about the geometric mean theorem at brainly.com/question/10216660

#SPJ1

Answer:

5

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

At first, you would probably think that the side lengths are 1², 2², 3² = 1, 4 and 9 but these side lengths don't form a triangle. The Triangle Inequality states that the sum of the two shortest side lengths must be greater than the largest side length, and since 1 + 4 > 9 is a false statement, it's not a triangle. Let's try 2², 3², 4² = 4, 9, 16. 4 + 9 > 16 is also false so that doesn't work. 3², 4², 5² = 9, 16, 25 but since 9 + 16 > 25 is false (25 isn't greater than 25), that doesn't work either. 4², 5², 6² = 16, 25, 36 and since 16 + 25 > 36 is true, this is our triangle which means that the perimeter is 16 + 25 + 36 = 77.

Answer:

e

Step-by-step explanation:

e

Step-by-step explanation:

Multiply to remove the fraction, then set equal to

0 and solve.

Inequality Form:

b<48.59

Interval Notation:

(−∞, 48.59)

The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.

Given Inequality:

11.3 > b /4.3

To solve the inequality 11.3 > b / 4.3,

Multiply both sides of the inequality by 4.3 to eliminate the fraction:

11.3 * 4.3 > (b / 4.3) * 4.3

48.59 > b

The solution to the inequality is b < 48.59.

This means that any value of b that is less than 48.59 will satisfy the inequality.

To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ6

Answer:

x = 11.8639

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are dealing with right triangles, we can use trig to help solve for missing values:

cos22° = 11/x

xcos22° = 11

x = 11/cos22°

x = 11.8639

Answer:

B and D

Step-by-step explanation:

B) Isosceles , this is one answer because two sides of the triangle are exactly the same measurement .

D) Right , this is the second answer because that little box in the corner there represents a 90 degree angle which is in turn a right angle .

It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.

Answer:172 cm²

Step-by-step explanation:

when we use the formula, and we can  solve out is like 172.05 and round to tenth and will have the answer

Formula is 1/2 × p × a  

ANSWER :

The graph of h(x) is the transformation of f(x) when shifted 4 units upward.

The equation of h(x) in terms of x is :

EXPLANATION :

From the problem, we have :

We can say that h(x) is the result when f(x) is translated 4 units upward.

That will be :

Answer:21

Step-by-step explanation:

Answer:

315359990076847

Step-by-step explanation:

3x^4+2x^2-5x+1 when x=3202

replace the x's with 3202

3(3202)^4+2(3202)^2-5(3202)+1

solve the exponent first

3(105119989862416)+2(10252804)-5(3202)+1

then multiply

315359969587248+20505608-16010+1

add/subtract

315359990076847

Answer:

Step-by-step explanation:

Let the number be x,

2x+4 = 3x-7

Collect like terms

2x-3x= -4-7

-x =. -11

Multiply both sides by -1

x. =. 11

PLEASE MARK BRAINLIEST.

Hence Proved N to N is uncountable set by using a diagonalization argument

What is Diagonalization Argument?

Georg Cantor published the Cantor's diagonal argument in 1891 as a mathematical demonstration that there are infinite sets that cannot be put into one-to-one correspondence with the infinite set of natural numbers. It is also known as the diagonalization argument, the diagonal slash argument, the anti-diagonal argument, the diagonal method, and Cantor's diagonalization proof.

Proof:

We write f as the sequence of value it generates

that is, say f:N-N is defined as f(x) =x then

we write f as : 1,2,3,4........

similarly if f:N-N were f(x) = 2x then we write it as :2,4,6,8.......

now assume on the contrary that the set of functions from N to N is countable

then,

\(f_{1}\)   :     \(f_{11}\)        \(f_{12}\)       \(f_{13}\) , ...........

\(f_{2}\)   :     \(f_{21}\)        \(f_{22}\)       \(f_{23}\) , ...........

\(f_{3}\)   :     \(f_{31}\)        \(f_{32}\)       \(f_{33}\) , ........... and so on

Here \(f_{ij}\) =\(f_{i}(j)\)

consider the function f as :

f : (\({f11}\) +1 ) , (\({f22}\) +1) , (\({f33}\) +1),.........

Then f wouldn't appear in the list of the function we had above since any \(f_{i}\) would disagree with f at the i th place

Therefore the set of the function from N to N is an uncountable set

To learn more about diagonalization argument visit:

brainly.com/question/16991671

#SPJ4

Answer:

Step-by-step explanation:

look up z-table

3 std div. = 0.00135

Answer:

y=-(x+3)^2

y=-x^2-6x-9

Step-by-step explanation:

i uh hope this is correct

hope thia helps <3

Answer:

15.06

Step-by-step explanation:

Substituting this value into the first equation gives us b + 2.94 = 18, so b = 15.06 hours. Since Karen can only work whole hours, she must have worked 15 hours babysitting and 3 hours giving music lessons.

1) There are 3.4 * 10^1 in Mexico than in Canada.

2) The number of ounces that were consumed is 20.8 * 10^7 ounces

3) The number of ounces of the students at the community college is 1.25 * 10^1 that of the students in the University.

Scientific notation is a way of writing very large or very small numbers using powers of 10. In scientific notation, a number is written as a coefficient multiplied by 10 raised to a power.

1) Ratio of people in Mexico to those in Canada;

1.3 * 10^8/3.8 * 10^7

= 3.4 * 10^1 : 1

2) Number of Ounces consumed by students = 5.2 * 10^4 * 4 * 10^3

= 20.8 * 10^7 ounces

3) Ratio of the number drank by community college to University

= 4 * 10^3/3.2 * 10^2

1.25 * 10^1

Learn more about scientific notation:https://brainly.com/question/18073768

#SPJ1

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Answer:

675 mm²

Step-by-step explanation:

base = 15 x 15  = 225 mm²

4 sides = 4(15)(15)(0.5) = 450 mm²

450 + 225 = 675 mm²

Answer:

direct proof, proof by contradiction, proof by induction

Step-by-step explanation:

there u go mate

Answer: A

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

-x*-y=z

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

hope it helps <3

Answer:

Let a be the larger number

Let b be the smaller number

A= b+7

Step-by-step explanation:

Hope this helps :) Have a great day!!!

Answer:

16.3 meters

Step-by-step explanation:

1 pi radian =180°

0.19 =?

(0.19×180)÷3.142=10.9°

cos 10.9=16/d

d cos 10.9 =16

d=16÷cos 10.9

d=16.3 meters