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Molodets [167]
3 years ago
12

What is the value of

)^2-(1/2)" alt="(8/3)+(-3)^2-(1/2)" align="absmiddle" class="latex-formula">? (Write your answer as a fraction in reduced form).
Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

Exact Form 67/6

Mixed Number Form 11 1/6

Step-by-step explanation:

Removed Parenthesis 8/3+(-3)^2-1/2

Group like terms 8/3 - 1/2 + (-3)^2

Apply the exponent rule 8/3 - 1/2 + 3^2

Find the LCM (least common multiple) of 3 & 2; 6

Adjust Fraction based on LCM 8/3 = 8*2/3*2 = 16/6   1/2 = 1*3/2*3 = 3/6

16/6 - 3/6

since denominators are equal combine the fraction \frac{16-3}{6}

Subtract the numbers 3^2 + 13/6

3^2 = 9 = 9 +13/6

9*6/6 + 13/6

\frac{9*6 + 13}{6} = 67/6

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What is the volume of the right prism?
Serggg [28]
We know that:
V = l \times w \times h

Substituting known values, we have:
V= 4ft \times 4ft \times 15ft
V= 240ft^{3}
6 0
3 years ago
Seven times the sum of a number and 4 equals 8.
Ksju [112]

Answer:

7*(n+4) =8

Step-by-step explanation:

seven times the sum

7*(

of an number and 4

7*( n+4)

equal 8

7*(n+4) =8

6 0
3 years ago
Read 2 more answers
a sixth grade student brought three cans of tennis balls for $4 each sales tax for all three cans was $0.95 write an expression
JulijaS [17]

Answer:

An expression that would show how much the student paid is 3(4) + 0.95, which can be solved to be 12.95

Step-by-step explanation:

We know that we need to multiply the number of cans (3) by the price of the cans (4). We also know the sales tax for the total is 0.95, which can simply be added to the end.

8 0
3 years ago
Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13
sweet-ann [11.9K]
Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.
6 0
3 years ago
Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation of 0.07 g. If a vend
Black_prince [1.1K]

Answer:

0.98046

Step-by-step explanation:

Given:

  • μ = 5.67
  • σ = 0.07

Here we are required to find

P(5.48 <X<5.82) and between 5.48 and 5.82 we each z-score given by

<em>z = (x - μ) / σ</em>

So 5.48 we have z = -2.714  and 5.82 we have  z = 2.143

Therefore we have the area of interest on the normal distribution chart given by :

P( -2,714 < z < 2.143)

= 1 - P(Z<-2.714) + P(Z >  2.143)

= 1 - P(Z<-2.714) + (1 - P(Z <  2.143))

= 1 - 0.00336 + 1 - 0.98382

= 1 - 0.01954 = 0.98046

6 0
3 years ago
Read 2 more answers
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