Element X decays radioactively with a half life of 14 minutes. If there are 310 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 5 grams?
y = a(.5) /

Answer:

75.96°

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

20 - 4 = 36 - 20 = 52 - 36 = 16

thus to obtain the next term in the sequence add 16 to the previous term

To obtain 2 terms distant then add 16 + 16 = 32

so 6th term = 52 + 32 = 84

Answer:

about 31%

Step-by-step explanation:

[tex]1 - {.91}^{4} = 1 - .6857 = .3143 = 31\%[/tex]

Answer:

37

Step-by-step explanation:

use Pytago ( you can search it online )

Answer:

B) $18.19

Step-by-step explanation:

Avery has $25.19 in her wallet, and she spends $7 on lunch. Subtract 7 from the original amount she had to get the new total:

25.19 - 7 = 18.19

B) $18.19 is your answer.

~

[tex] \red{ \sf \: option \: B. \$18.19}.. \: ... \: ...✔[/tex]

Subtract the original amount in her wallet by the amount she spent to find the remaining amount of money.

A

Step-by-step explanation:

hope it helps

Answer:

B. 672

Step-by-step explanation:

First, Add. 35 + 49 = 84

Multiply. 84(minutes) x 8(days)

= 672

Bonus! ^^ 672 minutes = 11.2 hours

The measure of the three angles are 46, 42 and 92 degrees respectively

A triangle is a shape that has 3sides and angles

Let the measure of the angles be x, y and z

If the second angle of a triangle is 4 less than the first angle, then;

y = x - 4

If the third angle is two times the first, then z = 2x

Since the sum of interior angle is 180 degrees, hence;

x + y + z = 180

x +x - 4 + 2x = 180
4x = 184
x = 46

Second angle = x - 4
Second angle = 42 degrees

Third angle = 2(46) = 92 degrees

Hence the measure of the three angles are 46, 42 and 92 degrees respectively

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Answer:

See below

Step-by-step explanation:

[tex]\csc\theta=1.2711\\\\\frac{1}{\csc\theta}=\frac{1}{1.2711}\\ \\\sin\theta=\frac{1}{1.2711}\\ \\\theta=\sin^{-1}(\frac{1}{1.2711})\\\\\theta\approx51.88^\circ\approx52^\circ[/tex]

Remember the identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so [tex]\sin\theta=\frac{1}{\csc\theta}[/tex] and it makes the problem easier. Just remember to take the inverse sine (let me know if you are not sure what that means).

The value of the θ in csc θ = 1.2711 is 51.88°.

A trigonometric ratio is a ratio of the length of sides of a right-angle triangle. It relates the ratio of sides to the respective angle. The most common trigonometric ratios are sine, cosine, and tangent.

Given csc θ = 1.2711, we need to find the value of θ,

So, csc θ = 1.2711

θ = csc⁻¹(1.2711)

θ = 51.88°

Hence, the value of the θ in csc θ = 1.2711 is 51.88°.

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Answer:

2x⁵ + x⁴ - x³ + 6x² + 3x - 3

Step-by-step explanation:

Given :

Finding (f × g)(x) :

Answer:

[tex]x \leqslant 4[/tex]

Goodluck

Step-by-step explanation:

X is smaller than or equal to 4

Answer:

56 years old

Step-by-step explanation:

50 / ( 6 - 1 ) = 10 = Lily's age 4 years later

10 - 4 = 6 = Lily's age now

6 + 50 = 56

By solving a little system of equations we will see that the two numbers are 12 and 31.

Let's define the two numbers as a and b.

We know that one of the numbers is 7 more than twice the other, so we have:

a = 2b + 7

We also know that the sum of the two numbers is 43, so we get:

a + b = 43

Replacing the first equation into the second one we get:

2b + 7 + b = 43

3b = 43 - 7 = 36

b = 36/3 = 12

Now that we know b, we can find a:

a = 2*12 + 7 = 31

So the numbers are 12 and 31.

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Answer:

3) B. 160

4) D. 72

5) C. 16

Step-by-step explanation:

3) 240 - 80 = 160

4) 12 = w/6

w = 6*12

w = 72

5) 44-28 = 16

Answer:

Step-by-step explanation:

Answer:

The answer is 28 in

Step-by-step explanation:

I divided 392/14=28

hopefully it helps.

please mark brainliest.

Answer:

it is 28

Step-by-step explanation:

i took the exam

Step-by-step explanation:

[tex] {x}^{2} - 5x + 6 = 0\\ {x}^{2} - 3x - 2x + 6 = 0\\ x(x - 3) - 2(x - 3) = 0\\ (x - 3)(x - 2) = 0 \\ either \\ x - 3 = 0 \\ x = 3 \\ or \\ x - 2 = 0 \\ x = 2[/tex]

Answer:

x = 1

Step-by-step explanation:

[tex]\sf Sin \ 37^\circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]

[tex]\sf 0.6 = \dfrac{0.6}{x}\\\\Cross \ multiply,\\\\ 0.6*x = 0.6\\\\x = \dfrac{0.6}{0.6}\\\\x = 1[/tex]

Answer:

150 degrees

Step-by-step explanation:

This is because the opposite angles in this parallelogram are equal.

Answer:

6 (3 ×10 ) + 2 (7)

6(30) + 14

180 + 14

= 194

Answer: 194

Step-by-step explanation:

Given:

6ab + 2c

a = 3, b = 10, c = 7

Solve:

1. Plug in what you know and solve for your answer

⇒ 6(3)(10) + 2(7)

⇒ 6(30) + 14

⇒ 180 + 14

⇒ 194

The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

A function assigns the value of each element of one set to the other specific element of another set.

Function N represents the number of components that a new employee can assemble per day.

N(t)=(50t)/(t+4)

Function E represents the number of components that an experienced employee can assemble per day.

E(t)=(70t)/(t+3)

In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,

[tex]D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}\\[/tex]

Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].

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Answer:

D(t)= 10t(2t+13)/ (t+4)(t+3)

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

y = a^x

1/16 = a^2

so the answer is 1/4

The number of the voters in the Newyork need to be sampled will be P=19,782.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

It is given in the question that:-

Voters percentage=48%

Margin of error=0.01

Z value at 0.99 = 2.58

By using the formula:-

[tex]\rm M=z\sqrt{\dfrac{\pi(1-\pi)}{n}[/tex]

By putting the values:-

[tex]0.01=2.58\sqrt{\dfrac{0.48(1-0.48)}{n}[/tex]

[tex]\sqrt{n}=\dfrac{1.40}{0.01}[/tex]

[tex]n=19784[/tex]

Hence the number of the voters in the Newyork need to be sampled will be P=19,782.

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Answer:

from what i got it is 65% have terriers

Step-by-step explanation:

13 / 20 = 0.65 meaning there is 65%

Hope This Helped

Answer:

So the answer is approximately 18 years

Step-by-step explanation:

Your interest rate is 6.25%, or, 0.0625

A=P⋅(1+(r/n))^nt

Where:

P is the initial amount

r is annual rate of interest

t is number of years

A is the final amount of money

n is the number of times the interest is compounded per year

So

3P=P(1+0.0625)

3P=P (1.0625)^t

3=1.0625^t

Now we should use logarithmic functions.

ln(3)=t⋅ln(1.0625)

ln(3)ln(1.0625)=t

t=18.12 years

Answer:

x=6

Step-by-step explanation:

Answer:

314.16cm²

Step-by-step explanation:

please mark me as brainliest.hope this helps

Answer:

4 years !

Step-by-step explanation: