A person is standing close to the edge on a 56 foot building and throws the ball vertically upward. The quadratic function h(t)=-16^2+104t+56 models the balls height above the ground,h(t),in feet, T seconds after it was thrown
what is the maximum height of ball.=
How many seconds did it take to hit the ground=
Please help!

Well, from what I can tell, we just have to combine like terms, meaning that all of the terms that have the same variables can be combined:

F = (ABC + ABC) + A'B

F = 2ABC + A'B

If that's not what you meant, or if you have questions, feel free to let me know! :)

4x+2=6(-2x-5)

<=>4x+2=-12x-30

<=>16x+32=0

<=>x=-2

Answer:

the Si unit of temprature in Kelvin (K)

Step-by-step explanation:

Answer:

The answer is Kelvin (k).

Step-by-step explanation:

The kelvin (K) is defined by taking the fixed numerical value of the Boltzmann constant k to be [tex]1.380649*10^{-23}[/tex] when expressed in the unit of joule per kelvin. The temperature 0 K is commonly referred to as "absolute zero." On the widely used Celsius temperature scale, water freezes at 0 °C and boils at about 100 °C. One Celsius degree is an interval of 1 K, and zero degrees Celsius is 273.15 K. An interval of one Celsius degree corresponds to an interval of 1.8 Fahrenheit degrees on the Fahrenheit temperature scale.

The kelvin is also the fundamental unit of the Kelvin scale, an absolute temperature scale named for the British physicist William Thomson (known as Lord Kelvin). An absolute temperature scale has as its zero point absolute zero (−273.15° on the Celsius temperature scale and −459.67° on the Fahrenheit temperature scale), the theoretical temperature at which the molecules of a substance have the lowest energy; hence, all values on such a scale are nonnegative.  

Answer:

12+r

Step-by-step explanation:

"more than" means Addition.

Answer:

[tex]50^{\circ}[/tex]

Step-by-step explanation:

Inscribed angles that form the same arc have the same angle measure, no matter where they lie on the circle. Since the measure of angle CBD forms the same arc as angle CED, the measure of angle CBD must be equal to the measure of angle CED, hence [tex]m\angle CED=\boxed{50^{\circ}}[/tex]

Answer:

the answer is 4)50°

Step-by-step explanation:

because it is same

===========================================================

Explanation:

All direct variation equations are of the form y = kx, for some constant k.

We know that y = -8 and x = 4 pair up together. Let's use these two values to find k

y = kx

-8 = k*4

-8/4 = k

-2 = k

k = -2

Therefore, we go from y = kx to y = -2x

We can then find y when x = -4

y = -2x

y = -2*(-4)

y = 8

Answer:

y∝x

y=kx

k=y/x

by putting values

k=-8/4

k= -2

now ,if x= -4

as, y=kx

hence, y= (-2)(-4)

y=8

Step-by-step explanation:

Answer:

#6 is D

#7 is A

Step-by-step explanation:

#6

-1/3(6x+15)-3

Distribute the -1/3

-1/3 times 6x is -2x

-1/3 times 15 is -5

-2x-5-3

-2x=8

#7

-12z-5z=85

COmbine like terms

-17z=85

Divide both sides by -17

z=-5

Answer:

6:21

Step-by-step explanation:

We want to find the ratio of squares to shapes

So simply count the squares

There are 6 squares

And then find the total number of shapes

There are a total of 21 shapes

So for every 6 squares there are 21 total shapes

In other words the ratio of squares to shapes is 6:21

Answer:

Step-by-step explanation:

Given,

Number of squares = 6

Total no. of shapes = 21

Therefore,

Unsimplified ratio of squares to total shapes

= 6:21 (Ans)

Answer:  445.5 (choice C)

Work Shown:

[tex]S_n = \frac{n}{2}(a_1+a_n)\\\\S_{11} = \frac{11}{2}(8+73)\\\\S_{11} = 5.5(81)\\\\S_{11} = 445.5\\\\[/tex]

Adding the first 11 terms of this arithmetic sequence yields the sum 445.5

Answer:

(5.5×10⁶+6.3×10⁶)×2

= (5.5+6.3)×10⁶×2

= 11.8×10⁶×2

= 23,600,000

Answer:

864

Step-by-step explanation:

do the square root of the total number

Answer:

D

Step-by-step explanation:

A is rather a strange choice. The tools are used as extensions of our  senses. That's all that technology has done. We still need to observe things for ourselves if we are to learn. I actually really do not know what this statement means. My answer reflects what I think is true. Our need to observe and think is not hindered.

B is never going to be true. We still have to test things out, even with the best tools that we have.

C: The exact opposite is true. Our knowledge of the universe has expanded beyond our belief with the better tools of technology that we have.

D: This is the opposite of C and is the answer.

Answer:

The answer is 155.

Step-by-step explanation:

We can find the remaining parts of the triangle angles.

Answer:

Step-by-step explanation:

[tex]p(\overline{X}-\sigma \leq X \leq \overline{X}+\sigma)\\\\=p(\dfrac{\overline{X}-\sigma -\overline{X} }{\sigma} \leq Z \leq \dfrac{\overline{X}+\sigma -\overline{X} }{\sigma} )\\\\=p ( -1 \leq Z \leq 1)\\\\=2*(\ p (Z \leq 1)-0.5)\\\\=2*(0.8413-0.5)\\\\=0.6826\\\\\approx{68\%}[/tex]

The function that has the given domain and range is: D. {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}.

A function is a relation that consists of a domain (a set of x-values) and a corresponding range (set of y-values).

Thus, each ordered pair in a function is expressed (x, y), where all values of x make up the domain, while tehri corresponding y-values make up the range of the function.

Thus, for a function given as,  {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}:

The set of x-values is, -7, -5, 2, 6, and 7. Therefore, the domain is:  { – 7, - 5, 2, 6, 7}.

The set of y-values is: 0, 1, and 8. Therefore, the range is:  {0, 1, 8).

Thus, the function that has the given domain and range is: D. {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}.

Learn more about domain and range of a function on:

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Answer: (2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)

Step-by-step explanation: TCB

Answer:

Shortest is john

Tallest is ken

Step-by-step explanation:

You have to look at the last few words (er, est).

Ex: 3. strong 2. stronger 1. strongest

Hope this helps <3

Need thanks? Comment /hearthelp

Answer:

-6 + 14

8

Step-by-step explanation:

Given: Hank is -6 below feet. He rises +14 feet above level.

-6 + 14 = 8

Addition expression: -6 + 14

Sum: 8

Hope this helped.

Answer:

10 or -10,

Read the explanation

Step-by-step explanation:

Rewrite this problem as a numerical expression. As per the wording of this problem, there can be two expressions derived.

1.     [tex]((\frac{1}{6}(10*3)*4)-30[/tex]

2.     [tex]30-((\frac{1}{6}(10*3)*4)[/tex]

Simplify, remember the order of operations. The order of operations is the sequence by which one is supposed to perform operations in a numerical expression. This order is the following:

1. Parenthesis

2. Exponents

3. Multiplication or division

4. Addition or Subtraction

Use this sequence when simplifying and solving the expression:

Expression 1

[tex]((\frac{1}{6}(10*3)*4)-30\\\\=((\frac{1}{6}(30)*4)-30\\\\=(5*4)-30\\\\=20 - 30\\\\= -10[/tex]

Expression 2

[tex]30-((\frac{1}{6}(10*3)*4)\\\\=30-((\frac{1}{6}(30)*4)\\\\=30-(5*4)\\\\= 30-20\\\\= 10[/tex]

Step-by-step explanation:

Right Triangles and the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.

Answer:

The amount of money that must be invested is $252.

Step-by-step explanation:

Present value formula:

The present value formula is given by:

[tex]P = \frac{F}{(1+r)^n}[/tex]

In which:

P is the present value.

F is the future value.

r is the interest rate.

n is the number of periods.

9% ANNUALLY

This means that [tex]r = 0.09[/tex]

COMPOUNDED QUARTERLY TO OBTAIN 1,000 IN 4 YEARS.

Obtain 1000 means that [tex]F = 1000[/tex]

Compounded quarterly in 4 years, so 4*4 = 16 periods and [tex]n = 16[/tex].

Amount of money that must be invested:

[tex]P = \frac{F}{(1+r)^n}[/tex]

[tex]P = \frac{1000}{(1+0.09)^{16}}[/tex]

[tex]P = 252[/tex]

The amount of money that must be invested is $252.

9514 1404 393

Answer:

  $11,680.58

Step-by-step explanation:

Usually, I would say copy the example, using 70,000 instead of 55,000. However, the example you show has a couple of errors in it. You need to do what it says, not follow what it did.

__

The first 48,535 is taxed at 15%, so the tax is 0.15×48535 = 7280.25.

The next (70,000 -48,535) = 21,465 is taxed at 20.5%, so the tax is ...

  0.205×21,465 = 4400.325 ≈ 4400.33

The the total tax due on $70,000 is ...

  $7280.25 +4400.33 = $11,680.58 . . . . tax due on $70,000

_____

Additional comments

The example shown has a couple of errors. The tax on the excess amount is figured at 2.05%, not 20.5%, and the 132.53 value from that is shown as 132.23.

__

Any tax table like this one can be reduced to a set of simpler formulas. Here are the formulas for the brackets shown in your tax table.

  ≤ 48535 -- income × 0.15

  ≤ 97069 -- income × 0.205 -2669.425

  ≤ 150,473 -- income × 0.26 -8008.22

  ≤ 214,368 -- income × 0.29 -12,522.41

  > 214,368 -- income × 0.33 -21,097.13

In this case, the second row of this simpler table would give the tax on $70,000 as ...

  tax = 70,000 × 0.205 -2669.425

  tax = 14350 -2669.425 = 11680.575 ≈ 11,680.58 . . . same as above

The telescope shape and the characteristic equations of the telescope parameters are the same as parabolic equations

The distance between the focus and the vertex, of the parabola is 3.375 meters

The process for obtain the above values is as follows:

The known parameters of the parabola are;

The location of the vertex of the parabola= The origin = (0, 0)

The height of the parabola = 9 meters

The width of the parabola = 12 meters

The unknown parameter;

The distance between the focus and the vertex

Method:

Finding the coordinate of the focus from the general equations of the the parameters of a parabola

The equation of the parabola in standard form is y = a·(x - h)² + k

From which we have;

(x - h)² = 4·p·(y - k)

The coordinates of the focus, f = (h, k + p)

Where;

(h, k) = The coordinates of the vertex of the parabola = (0, 0)

∴ a = 1/(4·p)

From the question, we have the following two points on the parabola,

given that the parabola is 12 meters wide at 9 meters above the origin and

it is symmetric about the y-axis;

Points on the parabola = (9, 6), and (9, -6)

Plugging in the values of the vertex, (h, k) and the two known points, in the equation, y = a·(x - h)² + k, we get;

6 = a·(9 - 0)² + 0 = 81·a

a = 6/81 = 2/27

p = 1/(4·a)

∴ p = 1/(4 × 2/27) = 27/8

The coordinate of the focus, f =  (h, k + p)

∴ f = (0, 0 + 27/8) = (0, 27/8)

The coordinate of the focus f = (0, 27/8)

Given the vertex and the focus of the parabola have the same x-values of 0, we have;

The distance between the focus and the vertex, d = the difference in their y-values;

∴ d = 27/8 - 0 = 27/8 = 3.375

The distance between the focus and the vertex, d = 3.375 meters

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Answer:

✔️6 × 5²

✔️6 × 5 × 5

✔️150

Step-by-step explanation:

6 times 5 squared is written as 6 × 5²

Thus:

6 × 25 = 150

Evaluate each of the expressions given to determine whether they are equivalent to 150 or not

✔️5 × 6² = 5 × 36 = 180 (NOT EQUIVALENT)

✔️6 × 5² = 6 × 25 = 150 (EQUIVALENT)

✔️192 ≠ 150 (NOT EQUIVALENT)

✔️6 × 5 × 5 = 6 × 25 = 150 (EQUIVALENT)

✔️6 × 5 × 2 = 6 × 10 = 60 (NOT EQUIVALENT)

✔️150 = 150 (EQUIVALENT)

✔️6 + 5 × 5 = 6 + 25 = 31 (NOT EQUIVALENT)

Answer: Choice D

In two games, the team lost to the opponent by 1 goal.

========================================================

Explanation:

Negative scores indicate the team lost, and the absolute value of those values represent how much of a loss.

So a difference of -1 means the team lost by 1 point.

We have 2 dots over this value, so there are 2 occasions where the team lost  to the opponent by 1 goal.

An example would be that say the team scored 3 goals and the opponent scored 4 goals. So we have a differential of 3-4 = -1. The order is important because we would not say 4-3 = 1.

Answer:

d

Step-by-step explanation:

took the test

The solution is 4ln3 - 3ln5, which is correct option(C).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmatic operation are called arithmatic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln81/125

⇒ ln81 - ln125   [used property : logₐ(x/y) = logₐx - logₐy]

⇒ ln3⁴ - ln5³    [ 81 =3⁴ and 125 = 5³ ]

⇒ 4ln3 - 3ln5   [used property : logₐ(xⁿ) = nlogₐx]

Hence, the solution is 4ln3 - 3ln5

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Answer:

Qualitative data

Neither discrete or continous

Ordinal

Step-by-step explanation:

Qualitative data simply refers to Non-numeric measure, they make use of data labels which are expressed in words rather than figures or numbers.

For a data to be either discrete or continous, then it has to be numeric, since the data is qualitative and non- numeric, then it is neither continous or discrete.

This is an ordinal scale representation of data as data are ordered or ranked in terms of performance, however, there is no measure of difference between each rank or order. The highest level of performance in the scale is Excellent.

Step-by-step explanation:

I'm not sure about it

Try it find examples

Step-by-step explanation:

so at the end 2=1

not sure but hopefully you get the idea :)

9514 1404 393

Answer:

  $1790.99

Step-by-step explanation:

Given:

  $1625 is invested at an annual rate of 1.95% compounded quarterly for 5 years

Find:

  the ending balance

Solution:

The compound interest formula applies.

  FV = P(1 +r/n)^(nt) . . . Principal P at rate r for t years, compounded n per year

  FV = $1625(1 +0.0195/4)^(4·5) = $1625(1.004875^20) ≈ $1790.99

The account ending balance would be $1790.99.

Answer:

rational number

Step-by-step explanation:

multiplying two rationals is the same as

multiplying two such fractions, which will

result in another fraction of this same form

since integers are closed under

multiplication. Thus, multiplying two rational numbers produces another rational number.

"The product of two rational number is rational" So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.Sep 5, 2020

Answer:

5%

Step-by-step explanation:

given,

Earns= Rs 640

spends= Rs 608

saves= (Rs 640 - Rs 608)

=Rs 32

therefore, 32/640x100

answer = 5%

Answer From Gauth Math

Answer:

5%

Step-by-step explanation:

save=640-608=32

(32/640)*100%

5%