Find the area of each circle with the given radius or diameter. Use 3.14 for pi.

Using the vertex of the quadratic equation, it is found that a maximum height of 78.75 feet is reached after 2.13 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

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

Considering the coefficient a, we have that:

In this problem, the height is modeled by:

h(t) = -16t² + 68t + 6.5.

The coefficients are a = -16, b = 68, c = 6.5, and the vertex will be given by:

[tex]x_v = -\frac{b}{2a} = -\frac{68}{-32} = 2.13[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a} = -\frac{68^2 - 4(-16)(6.5)}{-64} = 78.75[/tex]

A maximum height of 78.75 feet is reached after 2.13 seconds.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Answer:

b and d option are correct

Answer:

B, D

Step-by-step explanation:

B, D

x cannot be in a root.  (A)

x cannot be in the denominator.  (C)

The given expression is the square of a binomial, such that:

(2x + 1)^2 = 4x^2 + 4x + 1

Then the correct option is C.

We want to see if:

(2x + 1)^2

Is equivalent to (4x^2 + 1).

First, this is false, let's prove that.

We have the square of a binomial (2x + 1)^2. Remember the general formula:

(a + b)^2 = a^2 + 2ab + b^2

So if we apply this to our expression we get:

(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1

Then, the correct option is C.

If you want to learn more about binomials, you can read:

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Answer:

Step-by-step explanation:

Area of figure I = length *width

                          = 4 * 5

                          = 20 m²

Figure II is a trapzium.

a and b  are the parallel sides. a = 21 m

b = 20 - 5 = 15 m

h =  3 + 4 = 7 m

[tex]\text{area of figure 2 = $\dfrac{(a + b)*h}{2}$}[/tex]

                       [tex]=\dfrac{(21+15)*7}{2}\\\\\\=\dfrac{36*7}{2}\\\\\\= 18*7\\\\= 126 \ m^{2}[/tex]

Area of the figure = 20 + 126

                               = 146 m²

Answer:

146 m²

Step-by-step explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 2 rectangles and a triangle (see attachment).

Area of Rectangle 1 = 4 x 5 = 20 m²

Area of Rectangle 2 = (3 + 4) x (20 - 5) = 105 m²

Area of triangle 3 = 1/2 x (21 + 5 - 20) x (3 + 4) = 21 m²

Total area = 20 + 105 + 21 = 146 m²

Answer:

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.

Step-by-step explanation:

hope it helps, God bless!

Step-by-step explanation:

The base form (or root) of a verb is the form listed in the dictionary. It is the version of the verb without any endings (endings such as -s, -ing, and ed). The base form is the same as the infinitive (e.g., to walk, to paint, to think) but without the to.

to find the reciprocal just switch the numerator and the denominator.

= 8/5 ( 8 by 5 )

Answer:

A

Step-by-step explanation:

Hey there!

In this question, it is asking us what table doesn't have a proportional relationship

In table A, there is no seen relation ship between the numbers, columns, or rows

In all of the other tables, the numbers in each column is increasing by a number again and again meaning A is the incorrect table.

Answer:

A i believe

Step-by-step explanation:

Its not B because it is proportional by 0.6666666

Its not C because it is proportional by 3

It not D because its proportional by 1.33333333

Please mark as brainliest

Answer:

whats the problem it doesnt say anything

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

Answer: One face of a cube has a perimeter of a+a+a+a=4a.

The required perimeter of one of the faces of the cube is 4 units.

Given that,
A cube has a volume of 1 cubic unit. what is the perimeter of one of its faces is to be determined.

Perimeter is the measure of the figure on its circumference.

A cube is defined is a regular 3-dimensional structure whose dimension at every section is identical.

Here,
According to the question,
Area of the square = 1 cubic unit
a² = 1
a = 1
Now,
The perimeter of the square = 4a
                                                = 4 (1) = 4 units

Thus, the required perimeter of one of the faces of the cube is 4 units.

Learn more about perimeter here:

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#SPJ2

Answer:

x²-x-20

Step-by-step explanation:

Using Vieta's formula

x²-(sum of roots)x+(product of roots)=0

x²-(5+-4)x+(5×-4)=0

x²-x-20=0

Answer:

47

Step-by-step explanation:

because you know that a triangle is 180 degrees and you have the other two degrees, so all you have to do is add 90 (the little box in the corner means 90) +43=133 and subtract by 180 giving you 47 as your answer.

Answer:

Heya! ^^

let's first look at some terms that may help us understand the concept of the question better.

______________________________________

★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°

______________________________________

now let's come over what the question says.

we've been given a right angled triangle with measure of one of its angle as 43°.

we've to calculate the measure of the third angle named " x "

therefore ,

[tex]by \: angle \: sum \: property \: of \: triangle \\ \\ 90\degree + 43\degree + x = 180\degree \\ \\ 133\degree + x = 180\degree \\ \\ x = 180\degree - 133\degree \\ \\ x = 47\degree[/tex]

thus the measure of x is 47°.

hope helpful :D

Answer:

y=-2/1+4

or y=-2+4

Step-by-step explanation:

to find the slope, you count from one point of intersection to the next and the way it works is y/x so the line from one point to the next goes down 2 (making it negative also) and over 1, so -2/1 is your slope, and for the b part.. its just where the line intersects on the y axis (the line that goes up and down) so it would be 4

Part A

Part B

Addtional Information:

Answer:

(a)  12

(b)  36

Step-by-step explanation:

Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]

Apply the exponent rule:

[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]

Question (a)

[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]

Question (b)

[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]

Step-by-step explanation:

I never learned this (for good reasons, I say). for me this is the strangest thing in math. math is precise. we are not guessing around when we can actually calculate things.

this is definitely ok, when just trying to decide, if one fraction is larger than the other, but to use that for an actual operation among fractions, is the biggest nonsense I have ever seen in math lessons (and not simpler than doing the precise calculation). again, math is a precise thing. the only valid level of imprecise answers is rounding, but only for the end result, not for intermediate results, because the rounding errors are rarely compensating for each other, they mostly pile up making the end result even less precise.

enough with the venting ...

benchmark fractions are the simple fractions (and their multiples)

1 (=1/1), 1/2, 1/3, 1/4, 1/5, 1/6

and then in steps of 2 :

1/8, 1/10, 1/12, ...

we try to find the closest simple fractions to our actual fractions and use them to estimate the actual result.

the simplest (but also normally the least precise) benchmark approach is using 1/2 as benchmark unit and 0, 1/2, 1 as benchmarks.

so, is 10/12 closest to 0, to 1/2 or to 1 ?

we know that 0 in 12ths would be 0/12, 1/2 would be 6/12, and 1 would be 12/12.

so, out of these 3 values 10/12 is closest to 12/12 (=1), so that is what you are choosing as representation.

is 3/8 closest to 0, 1/2 or to 1 ?

we would have 0/8, 4/8, 8/8.

and 3/8 is closest to 4/8 (= 1/2), and that is what we are choosing here as representation.

and the estimated result of 10/12 - 3/8 = 1 - 1/2 = 1/2 or 4/8 or 6/12.

let's pick 1/4 as benchmark unit.

so, are the numbers closest to

0, 1/4, 2/4, 3/4 or 1 (4/4) ?

for 10/12 we get then

0/12, 3/12, 6/12, 9/12, 12/12

and 10/12 is closest to 9/12 (3/4), which we pick as representation.

for 3/8 we get

0/8, 2/8, 4/8, 6/8, 8/8

if equidistant, we have to round up, so, we get 4/8 (2/4), which we pick as representation.

and the estimated calculation is

10/12 - 3/8 = 3/4 - 2/4 = 1/4

which is really horrible ...

2 and 4 are factors of 12 and 8. all smaller benchmark fractions (<1/4; so, e.g. 1/5, 1/6, 1/8. ...) are not meeting that criteria, making the benchmark finding much harder. so, I would not try that.

the real result is

the LCM of 12 and 8 is 24 (2×12 and 3×8).

so, we have

20/24 - 9/24 = 11/24 (almost 1/2).

so, actually, the benchmark unit of 1/2 is giving the best result here.

but to just do the exercise of benchmark units that are not factors of both denominators, let's pick 1/6

so, are the numbers closest to

0, 1/6, 2/6, 3/6, 4/6, 5/6 or 1 (6/6) ?

for 10/12 we get (all nicely)

0/12, 2/12, 4/12, 6/12, 8/12, 10/12, 12/12

so, 10/12 is closest to 10/12 (of course) = 5/6, which we pick as representation.

for 3/8 we get (ugh, we have to go for 24ths here too as 4×6 and 3×8)

0/24, 4/24, 8/24, 12/24, 16/24, 20/24. 24/24

3/8 = 9/24

so, the closest number to 9/24 is 8/24 (= 2/6), which we pick as representation.

and the estimated calculation is

10/12 - 3/8 = 5/6 - 2/6 = 3/6 = 1/2

did I say already that I don't like this ? that I don't see the advantage to the actual calculation ?

so, just in case : I don't like this (ugh) !

Answer:

x(x-2)

Step-by-step explanation:

x^2−2x

Factor out an x

x(x-2)

This is not a special product

Answer:

Aashna is correct

Step-by-step explanation:

I would explain it that the tens places are 8 and 1, which are about 7 apart

The tens places however are 3 and 4 which is closer.

Answer:

The weight, in pounds, of one bag of beans.

Step-by-step explanation:

Since we know that there are 15 bags of beans, we can eliminate the first option and anything about something other than th e beans. Also, we know that we are not given the information on how heavy the bag of beans are, so with process of elimination, the 3rd one is the answer.

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

Answer:

B : 1.8 hours a day.

Step-by-step explanation:

For 5 days she practices for 4 hours.

Subtract the 4 hours by the combined 13 hours.

Divide the remainding 9 hours of video game time by the 5 days.

Answer: 39

Step-by-step explanation: formula is bh. 19.5 times 8 is 156. divide by 4 because a package will cover 4 sq ft.

Answer:

39

Step-by-step explanation:

parallelogram area is base x height

A = b x h

A = 19.5 x 8 = 156 ft^2 or square feet

156 divided by 4 = 39

The cost of similar carpet in the client's bedroom is $225

Given Data

if 307.2 square feet of carpet will cost $576

the 120 square feet of carpet will cost $x

cross multiplying we have

x = 120*576/307.2

x = 69120/307.2

x = $225

Learn more about area of shapes here:

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Answer: About 5.59

Step-by-step explanation:

        The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.

        Here is what it looks like.

[Step 1]

        Find the average.

[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]

[Step 2]

       Find the absolute value of each data from the mean.

|52 - 56.14| = 4.14

|65 - 56.14| = 8.86

|63 -  56.14| = 6.86

|48 -  56.14| = 8.14

|52 -  56.14| = 4.14

|53 -  56.14| = 3.14

|60 -  56.14| = 3.86

[Step 3]

      Find the average of these values.

[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]

Answer:

65

Step-by-step explanation:

115 + x = 180

x = 180 - 115

x = 65

Answer:

65°

Step-by-step explanation:

A right-angle equals 90°. Two right angles would be a line like shown in the picture.

So, 90 + 90 = 180.

Since we know the whole amount of the 2 angles combined is 180, all we have to do is subtract 115 from 180 to find the missing value.

180 - 115 = 65

Therefore, 65° equals x.

-kiniwih426

Answer:

The question is not showing what we are supposed to find.

b+3b+10

Answer:

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

5*5*4=100

Answer:

The probabilities of the individual outcomes are the same.

The probability model for this situation is uniform.

Step-by-step explanation:

There is 2 of each number so there is an equal chance. when there is an equal chance that is uniform.

Answer:

i hope this helped :)

Step-by-step explanation:

Answer:

Rectangle

Solve for length

l=4cm

w Width

7

cm

P Perimeter

22

cm

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=22

2﹣7=4cm