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3 years ago

10

3x + fraction 1 over 4 y^2 what is the value expression above when x=3 and y=4? Must show all work and calculations

1 answer:

evablogger [386]3 years ago

7 0

Answer: 9 1/16

nine and one sixteenth

Step-by-step explanation:

Substitute x = 3 and y = 4 into the equation:

3x + 1/4^y

= 3(3) + 1/4^(2)

Then solve using the order BEDMAS (brackets, exponenets, division, multiplication, addition, subtraction).

= 3(3) + 1/4^(2)

= 3(3) + 1/16

= 9 + 1/16

= 9 1/16

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PLEASE HELP ASAP WILL MARK BRAINLIEST!!

Papessa [141]

Answer:

Prime.

Step-by-step explanation:

$x^2-7x+8\\$

First let's multiply our outer coefficients in this case 1 and 8, so we have 1x8=8. Now the point of this is to get the factors of 8 and see if we can get that middle term -7. Factors of 8 are 1x8, 2x4 and that's it. From there I notice that -8+1 = -7 and so:

$x^2-7x+8 = x^2-8x+x+8 = x(x-8)+(x+8)$

Notice that the (x-8) and (x+8) are not the same factors, therefore the factors are not any of those answer choices and so it's prime. You can calculate the factors by using the quadratic formula, however I think that is beyond the scope of this question.

7 0

3 years ago

One card is randomly selected from a deck of cards. Find the odds against drawing a spade greater than 2 and less than 8.

scoray [572]

Answer:

The odds against drawing a spade greater than 2 and less than 8 is $\frac{5}{47}$ .

Step-by-step explanation:

Total number of cards in a standard deck of cards = 52

Total number of cards of each suit (Spade, club,heart, diamond)=13

Total number of spade cards, which are greater than 2 and less than 8 = 5

We need to find the odds against drawing a spade greater than 2 and less than 8.

Let event A be the total number of cards which are greater than 2 and less than 8

Favorable outcomes:

A' = 52 - 5 = 47

Unfavorable outcomes:

A = 5

Formula for odds

$Odd=\frac{favorable}{unfavorable}$

$Odd=\frac{5}{47}$

Therefore the odds against drawing a spade greater than 2 and less than 8 is $\frac{5}{47}$ .

5 0

4 years ago

A hemispherical dome of a building needs to be painted. If the circumference of the base of the

soldier1979 [14.2K]

Answer:

The cost of painting the hemispherical dome is 110880 unit

Step-by-step explanation:

Given as for a hemispherical dome :

The circumference of base = 17.6 m

The cost of painting it = 5 unit per 100 cm²

∵ circumference of base = circumference of circle = 2× $\pi$ ×radius

So ,17.6 m = 2× $\pi$ ×radius

Or, Radius = $\frac{17.6\times 7}{2\times 22}$

Or, Radius = $\frac{123.2}{44}$ = 2.8 m

Or, R = 280 cm

So, Total surface area of hemispherical dome = 3× $\pi$ ×radius²

or, Total surface area of hemispherical dome = 3× $\pi$ ×280²

Or, Total surface area of hemispherical dome = $\frac{3\times 22\times 280\times 280}{7}$

Or, Total surface area of hemispherical dome = $\frac{5174400}{7}$

∴ Total surface area of hemispherical dome = 739200 cm²

Now, The cost of painting 100 cm² is 15 unit

So, The cost of painting 739200 cm² = $\frac{15\times 739200}{100}$

Or, The cost of painting 739200 cm² = 110880 unit

Hence The cost of painting the hemispherical dome is 110880 unit Answer

7 0

3 years ago

The mean number of touchdowns per football game is 3.7 with a population standard deviation of 0.9. A random sample of 31 footba

frez [133]

Answer:

Right Tail

P(x>3.9)= 0.108

Step-by-step explanation:

In excel, type =NORM.DIST(3.9, 3.7, 0.162, TRUE).

4 0

3 years ago

Write the decimal as a percent.<br> 0.487 = ??

pishuonlain [190]

Answer:

48.7%

Step-by-step explanation:

8 0

3 years ago

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