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3 years ago

Please help me out please

Mathematics

2 answers:

Doss [256]3 years ago

5 0

Aye do you know the answer to this or have you gotten to this part yet

SOVA2 [1]3 years ago

4 0

Answer:

16.6 in

Step-by-step explanation:

The volume (V) of a pyramid is

V = $\frac{1}{3}$ area of base × h

where h is the perpendicular height and area of base = 14² = 196

here V = 980, so

$\frac{1}{3}$ × 196h = 980 ( multiply both sides by 3 )

196h = 2940 ( divide both sides by 196 )

h = 15

Consider the right triangle formed by the height h from the vertex to the midpoint of the base and the slant height (s) ← the hypotenuse

Using Pythagoras' identity in the right triangle

s² = 15² + 7² = 225 + 49 = 274 ( take the square root of both sides )

s = $\sqrt{274}$ ≈ 16.6

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

2 years ago

Is 5/8 more than 11/20

alexdok [17]

5/8 is more than 11/20

If we find the lower common multiple of the denominators which is 160 then we can multiply the top numerators by the opposite denominators

5x20=100
11x8=88

We now have
$\frac{100}{160} and \frac{88}{160}$

The one on the left is simplified to 5/8 and the right is simplified to 11/20

5 0

3 years ago

Read 2 more answers

Monica and Michael both want to buy a scooter. Monica has already saved $25 and plans to save $5 per week. Michael has $16 and p

Anna71 [15]

3 weeks

Step-by-step explanation:

To find the number of weeks, we have to equate the amount already saved and planned to save by both each week.

So we can write the expression as,

Let w be the number of weeks.

25 + 5w =16 + 8w

Grouping the terms as,

25 - 16 = 8w - 5w

9 = 3w

Dividing both sides by 3, we will get,

3w/3 = 9/3

w = 3

So number of weeks = 3

5 0

3 years ago

Michael wants to buy 2 tickets to the circus. Each ticket costs $37.50. How much will Michael spend for the tickets to the circu

viktelen [127]

Answer:

15Step-by-step explanation:y = family members = 7x = cos

Step-by-step explanation:

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3 years ago

Read 2 more answers

2 x<br>— = ———<br>7 z + 10<br><br>x = ???

zysi [14]

Answer:

Step-by-step explanation:

2x-3y+z=-3 , x-5y+7z=-11 , -10x+4y-6z=28

7 0

2 years ago