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miss Akunina [59]
3 years ago
15

48 is half of what number the number is half of 192?

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0

Answer:

96

Step-by-step explanation:

Is means equals, of means multiply

48 = 1/2 N

N = 1/2 * 192 = 96

The number is 96

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Write an Equivalent Expression by combining like terms for 2x+3x+y+2y
Vlada [557]

Answer:

5x+3y

Step-by-step explanation:

2x+3x=5x since they have the same variable.

y+2y

1y+2y u can put a 1 so that would be 3y

5x+3y

4 0
3 years ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
2 years ago
Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig
Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

h=-16t^2+18t+5

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

v = \frac{dh}{dt} = -32t + 18

Therefore, when v = 0:

0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft

Therefore, her maximum height is 10.06 ft.

3 0
3 years ago
How do you simplify 8x over 45
Hitman42 [59]

x over 5 becuase the top and bottom are both divisible by 8 so you do that.

3 0
3 years ago
Read 2 more answers
Help help help help help
aleksklad [387]

Answer:

<h2><u>Toothpaste</u></h2>

Smiles = $0.215 per ounce

Tartar Free = $0.2075 per ounce

Bright = $0.19875 per ounce

I will buy Bright because it is the cheapest.

<h2><u>Sunscreen Lotion</u></h2>

Bronze Smart = $0.23625 per ounce

Ray Block = $0.25 per ounce

Healthy Glow = $0.3725 per ounce

I will buy Bronze Smart because it is the cheapest sunscreen here.

<h2><u>Deodorant</u></h2>

Fresh = $0.29875 per ounce

Clean Scent = $0.259 per ounce

Spring = $0.24833333333 per ounce

I will buy Spring because it costs less than the other deodorants.

Step-by-step explanation:

divide the cost by the ounces and you will get the cost per ounce

Have a nice day! :-)

3 0
3 years ago
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