Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after that. He writes the expression 10+0.5(d−1) to find the amount of money in his account after d days. Which statement about his expression is true?

Height at an instance of time is given by :

h(t) = -4( t - 2 )² + 5     .....1

Differentiating above equation with respect to t .

[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]

Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .

8( t - 2 ) = 0

t = 2

Putting value of t = 2 in given equation, we get :

h( 2 ) = -4( 2 - 2 )² + 5

h( 2 ) = 5 m

Therefore, maximum height rocket can reach is 5 m.

Answer:

11 x 11 = 121   121 x 6 = 726 cm

Step-by-step explanation:

Hope this helps

B 3 1/4 + (5/8)

D 3 1/4 + (+5/8)

Of u wanted only one answer it's B

The expressions that are equivalent to [tex]3\frac{1}{4} -(-\frac{5}{8} )[/tex] are

[tex]3\frac{1}{4} +(\frac{5}{8} ) \\\\3\frac{1}{4} +(+\frac{5}{8} )[/tex]

for understanding check the calcualtions here

an expression is the combination of numbers and operators like +, - * or /

If we have any equal sign then it is an equation .

Given expression is :

[tex]3\frac{1}{4} -(-\frac{5}{8} )[/tex]

to find out equivalent expression  we  remove the parentheisis  by multiplying negative inside the parenthesis

Negative  times negative becomes positive

first fraction is positive . So it remains the same

Multiply negative inside the parenthesis . Negative times negative is positive

so, the equivalent expressions are

[tex]3\frac{1}{4} +(\frac{5}{8} ) \\\\3\frac{1}{4} +(+\frac{5}{8} )[/tex]

Learn more information about 'Expressions' here

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Answer:

6

Step-by-step explanation: You can set up the equation: [tex]\sqrt{\frac{n}{3} }[/tex] = [tex]\sqrt{n-4}[/tex] You square both sides to cancel out the squares which leaves you with [tex]\frac{n}{3}[/tex] = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with [tex]\sqrt{2}[/tex] on both sides.

Answer:

Use this simple interest calculator to find A, the Final Investment Value, using the simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.

Step-by-step explanation:

Answer:

[tex]Outcome = \{4H,4T\}[/tex]

Step-by-step explanation:

Given

A roll of cube numbered 1 - 4

A flip of coin

Required

Determine the possible outcomes for a number greater than 3

First, we list the sample space of the coin:

[tex]Sample\ Space = \{1,2,3,4\}[/tex]

Next, we list outcomes greater than 3

[tex]S = \{3\}[/tex]

Next, we list out the sample space (C) of a flip of coin:

[tex]C = \{H,T\}[/tex]

Where

[tex]H = Head\\T = Tail[/tex]

So, the possible outcome for a number greater than 3 is:

[tex]Outcome = \{4\} + \{H,T\}[/tex]

[tex]Outcome = \{4H,4T\}[/tex]

Answer:

x=-2, y=3

Step-by-step explanation:

substitute 11 + 4x into the second equation for y

3x + 2(11+4x) =0

3x +22+8x=0

11x=-22

To solve for y: y=11+4(-2)

Answer:

z=(84-p(51+z))/d

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

y is inversely proportion to x means that ,

y ∝ 1/x or ,

[tex]y\ \alpha\ \frac{1}{x}[/tex]

When we remove the proportionality sign we get,

[tex]y=k(\frac{1}{x})\\y=\frac{k}{x} \\[/tex]

now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,

so we insert these values and get the value of k.

[tex]y=\frac{k}{x} \\\\3=\frac{k}{2}\\\\6=k\\[/tex]

now the equation becomes,

[tex]y=\frac{6}{x}[/tex]

now we need to find y when x is 6 so just replace x with 6

[tex]y=\frac{6}{x}\\\\y=\frac{6}{6} \\\\y=1[/tex]

so we get the value of y is 1

Answer:

0/15 = 0

Step-by-step explanation:

Use the formula: y2-y1 over x2-x1.

Hope this helps! :-)

Answer:

HII

Step-by-step explanation:

X= 40

Answer:

b

Step-by-step explanation:

I recommend the website tiger algebra calculator its really helps!

Answer:

7

Step-by-step explanation:

8 units separate -4 and 4

8 divided by 2 (which is the x of slope) is four

Four times 1 (which is y of slope) equals four

3+4 equals seven

(4,7)

Answer:

The correct answer is c.

the slope is 9

y intercept is -2

Step-by-step explanation:

When you right the equation it is in slope intercept form in which m and y are whole numbers

Answer:

10 erasers

Step-by-step explanation:

Basically we know she bought a pencil for $1.75 so we can take that off of $4.25 giving us $2.50 we can then divide that by $0.25 which gives us 10

Answer: A) 1.8*10^10

Step-by-step explanation:

Multiply the constants together, and multiply the multiples of 10 together.

6*3 = 18

10^4 * 10^5 = 10^9

which gives you 18 * 10^9, but that isn't in scientific notation, because 18 isn't a number between 1 and 10

so you get 18 * 10 ^9

which is equal to 1.8*10^10

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

14776.8

Step-by-step explanation:

Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do

x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley

Answer:

D I guess is the answer for the question

Answer:

to solve this get a calculator ans do 865.000 divided by 12 percent and u have ur answer

Answer:

103 800

Step-by-step explanation:

Well iif you do 12% of 865,000 then you get 103 800

Answer:

23

Step-by-step explanation:

41-18=23

Answer:

sorry just here for the points :(

Step-by-step explanation:

Answer:

your answer would be 0

Step-by-step explanation:

3-(-2)-5

3+2-5

5-5

0

[tex]distance = | \frac{2 - ( - 1)}{ \sqrt{ { (\frac{ - 1}{4} )}^{2} + {( - 1)}^{2} }} | \\ = \frac{1 2\sqrt{17} }{17} \\ = 2.9[/tex]