The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 870 years?
grams

[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]

Answer:

  $4121.61

Step-by-step explanation:

Use the formula for the balance of an ordinary annuity.

  A = P((1 +r/n)^(nt) -1)/(r/n)

  A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61

The future value of the account is $4121.61.

Answer:

neither

Step-by-step explanation:

If 2 lines are parallel then their slopes are equal

If 2 lines are perpendicular then the product of their slopes = - 1

Calculate the slopes m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )

[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

Repeat

with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )

[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]

The slopes are neither equal nor have a product of - 1

Answer:

question 10

14×50= 700 pages

Step-by-step explanation:

A. n is the number of persons excluding chaperones

B. The equation describes the situation where the total admission cost at orchard A is equal to that of B. (This happens at n=17 persons)

C. For which number of persons is orchard A cheaper than orchard B? (It will be for n is more than 17 persons, but there is no requirement to calculate this).

Check the picture below.

well, we can say that since its directrix is a vertical line, the parabola opens horizontally, the focus point is at the left of the directrix thus it opens leftwards, ithas a vertex at (5,-3), recall that the vertex is half-way between the focus point and the directrix.

Answer:

42

Step-by-step explanation:

Answer:

A: Walking

Step-by-step explanation:

-It cannot be biking because the constant of proportionality (COP) is 9.5 miles (per hour).

-It cannot be running because the COP is 5 miles (per hour).

-It cannot be swimming because the COP is 4.5 miles (per hour).

he is walking

14 divided by 4 is equivalent to 3.5 the equation being 14/4=3.5 or 3 1/2

Answer:

92.

Step-by-step explanation:

By proportion the mass of zinc = (345/ 15) * 4

= 92.

To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.

9) 3.021 < 3.12 < 3.121 < 3.21

Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.

10) 5.0090 < 5.05 < 5.059 < 5.5

Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.

_________

RainbowSalt2222 ☔

The quotient is the result obtained by dividing one quantity by another.

This means that b/-6 = 18

b = 18*-6

b = -108

Answer:

b = -108

Step-by-step explanation:

Given the mathematical expression, "The quotient of b and -6 is 18":

We could represent the given mathematical expression as follows:

b ÷ -6 = 18  or   [tex]\frac{b}{-6} = 18[/tex] .

In the fraction form, [tex]\frac{b}{-6} = 18[/tex] , multiply both sides by -6 to eliminate the denominator on the left-hand side. It will also isolate b:

[tex]\frac{b}{-6} = 18[/tex]

[tex](-6)(\frac{b}{-6}) = 18(-6)[/tex]

b = -108

In order to double-check whether we have the correct value for b, simply substitute its vlaue into the equation:

[tex]\frac{-108}{-6} = 18[/tex]

18 = 18 (True statement).  

The value of b = -108, hence, the quotient of -108 and -6 is 18.  

Answer:

5 6/7

Step-by-step explanation:

how many times does 7 go onto 41?

7 x 5 = 35

remainder is 6 so;

5 6/7

Hey there!

41/7

= (5 * 7 + 6)/7

= (5 * 7)/7 + 6/7

= 5 6/7

= 5 6/7 ≈ 41/7

Therefore, your answer is: 5 6/7

Good luck on your assignment and enjoy your day’

~Amphitrite1040:)

Step-by-step explanation:

Correct answer:

(The primes between 40 and 50 are 41, 43, and 47 - three.

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

Learn more about sum of two numbers here:

https://brainly.com/question/13854139

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

35

Step-by-step explanation:

since i couldn't answer before

Answer:

(-2, -1.5)

Step-by-step explanation:

hope this helps!

Answer:

B) 400

Step-by-step explanation:

To find the value of n, you would have to divide 1600 by 4. 1600/4=400.

Answer:

400

Step-by-step explanation:

1600 4

Answer:

  b = 76°

Step-by-step explanation:

Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...

  60° +(b-46)° = 90°

  14° +b = 90° . . . . . . . simplify

  b = 76° . . . . . . . subtract 14°

Answer:

(c) The effect of a larger sample size on the margin of error is that the margin of error will increase.

Step-by-step explanation:

Answer:

the answer should be G or H

Answer:

2.25

Step-by-step explanation:

m = 9 / 4 = 2.25

points belong to an increasing, linear function.

Equation: y = 2.25x + 2.75.

BRAINLIEST?

Answer:

Step-by-step explanation:

x² + (x + 17)² = 25²

x² + x² + 34x + 289 = 625

2x² + 34x - 336 = 0

x² + 17x - 168 = 0

x = (-17 ±√(17² - 4(1)(-168))) / (2(1))

x = 7 or - 24   the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft

base = 7 ft

height = 24 ft

Answer:

That would be negative 45 or - 45

Please correct me if im wrong

Answer:

the answer is c

Step-by-step explanation:

u welcome

The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.

We are asked to solve for r in terms of other variables.

By Pythagoras theorem in the given right triangle, we can say that:

r² + s² = t², which is the required equation.

To solve for r in terms of other variables, we do as follows:

r² + s² = t²,

or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},

or, r² = t² - s² {Simplifying},

or, r = √(t² - s²) {Square rooting both sides of the equation}.

Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

Learn more about the Pythagoras theorem at

https://brainly.com/question/231802

#SPJ2

Answer:

Y=7x+3

Step-by-step explanation:

Using the t-distribution, it is found that the correct interpretation is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

We can find the standard deviation for the sample, which is why the t-distribution is used to solve this question.

Using a calculator, we find that:

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 12 - 1 = 11 df, is t = 1.7959.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 316.25 - 1.7959\frac{35.68}{\sqrt{12}} = 297.75[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 316.25 + 1.7959\frac{35.68}{\sqrt{12}} = 334.75[/tex]

From the confidence interval, we can infer about the population mean, hence, the correct option is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

A similar problem is given at https://brainly.com/question/15180581