Find the perimeter of the figure below, in inches.

Answer:

[tex]15\text{ grams}[/tex]

Step-by-step explanation:

Since the mass of the radioactive isotope is halved every 69 years, we want to multiply its initial mass by [tex]1/2[/tex] every 69 years.

We can model this using the following equation:

The remaining mass, [tex]f(x)[/tex], is equal to the initial mass multiplied by [tex]\frac{1}{2}^{(\frac{t}{69})}[/tex], where [tex]t[/tex] is the number of years that have passed from the initial mass. The reason why the exponent is [tex]\frac{t}{69}[/tex] is because we only want to half the mass every 69 years, so [tex]\frac{69}{69}=1[/tex] and [tex]\frac{1}{2}^1=\frac{1}{2}[/tex].

Thus, we have:

[tex]f(x)=20\cdot \frac{1}{2}^{(t/69)}[/tex]

Substituting [tex]t=30[/tex], we get:

[tex]f(x)=20\cdot \frac{1}{2}^{(30/69)}=20\cdot 0.73980522316=14.7961044632\approx \boxed{15\text{ grams}}[/tex]

Answer: Length = (15x + 20) / 5

Step-by-step explanation:

The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:

Area = length × width

(15x + 20) = length × 5

Length = (15x + 20) / 5

Therefore, the expression is Length = (15x + 20) / 5.

Solving further, the length will be:

= (15x + 20) / 5

= 3x + 4

Answer:

49/87 = .56 = 56%

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

Answer:

the answer is 0.40 and 0.12 children have much greater chance of having side effects than adults mark me brainiest

Step-by-step explanation:

The correct option is P(side effects | child) = 0.40 and P(side effects | adult) = 0.12. Conclusion is Children have a much higher chance of having side effects than adults.

Total number of people tested = 100

Number adults = 50

Number of adults who got side effects = 6

Probability that the adult got side effects = 6/50 = 0.12

Number of children = 50

Number of children who got side effects = 20

Probability that the children got side effects = 20/50 = 0.40

Here, it is clear that probability that the children got side effects is greater than that adult got side effects.

So, Children have a much higher chance of having side effects than adults.

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Answer:

x ≈ 101.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan44 = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{98}{x}[/tex] ( multiply both sides by x )

x × tan44° = 98 ( divide both sides by tan44° )

x = [tex]\frac{98}{tan44}[/tex] ≈ 101.5 ( to the nearest tenth )

Step-by-step explanation:

[tex]\sqrt{x^2-6x + 9} = \sqrt{(x - 3)^2}= x - 3[/tex]

I am math lover .Before I am also not too fond of math , but if you practiced it will be easy and you loves to do maths and your interest will increase .Sorry for late Answer of attachment will be 5190.

hope it is helpful to you

Answer:

your answer will be 5,190

Step-by-step explanation:

fist you have to subtract 80 from 599 and u will get 519 then you multiply to get the answer

I am also not so good in Math so I still try to help u

Answer to this equation:

4 3/4

Answer:

4.75

Step-by-step explanation:

This is what I got. have a nice day:)

Answer:

20 feet

Step-by-step explanation:

The distance between base of the ladder from the base of the building is given by option B) 20 feet.

Use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right-angled triangle,

The square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Length of the ladder = 28 foot

Here, the ladder forms the hypotenuse, and the height of the window (20 feet)

And the distance from the base of the ladder to the base of the building (let's call it x feet) are the other two sides.

So, we have:

Ladder² = Height² + Distance²

28² = 20² + x²

Now, let's solve for x:

x² = 28²- 20²

x² = 784 - 400

x² = 384

Now, take the square root of both sides to find x:

x = √384

x ≈ 19.6 feet

Rounding to the nearest whole foot, the distance from the base of the ladder to the base of the building is 20 feet.

Therefore, the distance between base of the ladder and building is equal to option B) 20 feet.

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Answer:

A

Step-by-step explanation:

third angle=180-(35+73)=180-108=72°

Answer:

Step-by-step explanation:

The average rate of change is the slope. Slope has a formula that is the change in y over the change in x, which is a fraction. The only time a fraction can have a vlue of 0 is where the numerator of the fraction is equal to 0 (since we are not allowed to have a denominator of 0). If the change in y is in the top of the slope fraction, then we have to find the interval where the y values are the same. I'll show you one where the y values are not the same so you can compare it to the slope where the y values are the same. We will find the slope of choice A.

When x = -3, y = 0 so the coordinate is (-3, 0).

When x = 5, y = 5 so the coordinate is (5,4). Now let's find the slope (aka average rate of change) between those 2 coordinates:

[tex]m=\frac{4-0}{5-(-3)}=\frac{4}{8}=\frac{1}{2}[/tex]  and the top of the fraction is a 1, not a 0, so the average rate of change between these 2 points is 1/2, not 0. Now let's do D.

When x = -3, y = 0 so the coordinate is (-3, 0).

When x = -1, y = 0 so the coordinate is (-1, 0). The slope between these 2 points is

[tex]m=\frac{0-0}{-1-(-3)}=\frac{0}{2}=0[/tex] This fraction is equal to 0 because the numerator is 0. Choice D is the one you want.

Answer:

use the pythagorean theorem

Step-by-step explanation:

a²+b²=c²

Answer:

[tex]6 \sqrt{5} [/tex]

Step-by-step explanation:

Take out Square root 5 as common and then add numbers

[tex]4 \sqrt{5} + 2 \sqrt{5} \\ 6 \sqrt{5} [/tex]

Answer:

The surface area of the cube is 294 m^2

Step-by-step explanation:

The formula for the surface area of a cube is:

(a^2) 6

Explanation behind formula:

a represents the side length. a^2 is the area of one face of the cube. Multiply that by 6 because there are 6 faces on a cube.

(Surface area- the area of each face of a figure)

Use formula with the given:

(7^2) 6 = 294

Surface area is measured in square meters.

(meters in this situation)

Therefore, the surface area of the cube is

294 m^2

Hope this helps!

Answer:

294

Step-by-step explanation:

formula is = 6(side length)^2

6x(7)^2

=294

Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39

Answers:

========================================================

Explanations:

8) Positive r values always go with positive regression slopes. The r value will likely not equal the slope, but they share the same sign.

------------------------------

9) The data set isn't given so I'm not sure. But it seems like your teacher just wants to know a hypothetical situation in which r value will produce the best fit. That would be r = -0.95 since we're the furthest from zero. The closer you are to r = 1 or r = -1, the better the fit.

------------------------------

10) The blue regression line, aka line of best fit, is fairly close to all of the data points. Also, the blue line has a positive slope. This means r is fairly close to 1. So that's why we go with r = 0.9

------------------------------

11) The general equation is y = mx+b. We simply replace x,y with x1,y1.

------------------------------

12) When considering y = mx+b, the m is the slope. I'm not entirely sure where the m comes from, but I've read some sources that say 'm' somehow represents 'mountain' which involves slopes. This could have simply been a memorization tool and not the actual reason why m was chosen to be the slope.

As an example, y = 2x+5 has slope 2.

------------------------------

13) The b in y = mx+b is the y intercept. It's the initial value.

It always occurs when x = 0 since

y = mx+b

y = m*0+b

y = b

Meaning the point (0,b) is the location of the y intercept.

For example, y = 2x+5 has y intercept 5 located at the point (0,5).

Answer:

16 elements

0 elements

Step-by-step explanation:

U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }

Let sets A , B , and C be subsets of U , where:

A = { 2 , 3 , 5 , 6 , 7 }

B = { 1 , 3 , 9 , 10 , 11 , 14 }

C = { 5 , 9 , 12 , 13 , 15 }

(A U B U C) = elements in either A, or B or C

(A U B U C) = {1,2,3,5,6,7,9,10,11,12,13,14,15}

(A U B U C) n (A U B U C) = elements on both intersecting set ; this will contain the same set as (A U B U C) are the same.

Number of elements = 13

(A n B n C) = elements occurring in both A, B and C

(A n B n C) = {} = empty set

(A n B n C) n (A n B n C) = {} = 0

Answer:

okay, so ... In a day, We all have 24 hours in a day

60 mins = 1 hr

5%

5/100×1 hr=

5 days =

okay, this is difficult

Answer:

Sam is incorrect

Step-by-step explanation:

We can calculate the lengths of the diagonals using Pythagoras' identity.

The diagonals divide the rectangle and square into 2 right triangles.

Consider Δ SRQ from the rectangle

SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )

SQ = [tex]\sqrt{180}[/tex] ≈ 13.4 in ( to 1 dec. place )

Consider Δ ONM from the square

OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )

OM = [tex]\sqrt{72}[/tex] ≈ 8.5 in ( to 1 dec. place )

Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4

Then diagonal OM is not twice the length of diagonal SQ

Answer:

0.125

Step-by-step explanation

one eighth = 1/8

Divide the numerator by denominator and the answer is 0.125

Answer:

The Number of Zeroes In The Results is Always equal To the Powers of 10.

Step-by-step explanation:

Example:-

345*[tex]10^{2}[/tex] = 34500

345*[tex]10^{5}[/tex] = 34500000

345*[tex]10^{7}[/tex] = 3450000000

345*[tex]10^{8}[/tex] = 34500000000

(In the Above examples, There is All The Numbers of Zeroes In The Results is equal To the Powers of 10)

Answer:

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]

Set up equation

Step 1: Simplify

[tex] \frac{6i}{5 - i} [/tex]

Step 2:Multiply by conjugate

[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]

Step 3:Simplify

[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]

We can reduce this and we must make the imaginary number and real number serpate equations.

[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]

Reduce each by 2

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Answer:

I expect the correct answer

_6

.

Answer:

6

Step-by-step explanation:

because if u minus 39 from 45 u get six and same for the others

Answers:

The total profit expression is a binomial.

The total profit expression is a polynomial.

The total profit expression has a constant term.

The total profit expression is a polynomial

The total profit expression is a binomial

The total profit expression has a constant term

The first step to determining which type of function it is, is to add the profits in both theatres together

(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400

A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.

Types of polynomials include :

1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.

An example is x + 2

The variable x is raised to the power of 1. 2 is the constant terms

2.  Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.

An example is 2x² + 10x + 25

3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.

An example is 5y³ + y²

4. Binominal function: this  is a function that contains only two terms.

An example is   t³ - 400

t³ - 400

The above equation of the total profit has a constant term which is -400

The above equation is a polynomial. This is because it has different types of variables.

The above equation is a binomial equation because it has only two terms  t³ and 400

In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.

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Step-by-step explanation:

y=-x+4

y=x-2

adding both the equations we get

2y=2

:. y=1

and putting the value of y in equation first we get

x=3

Answer:

23

Step-by-step explanation:

BC is parallel to AtoF

BC = (1/2)AtoF

BC = (1/2)46

BC = 23

The length of side BC will be 23. Option C is corect.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Answer:

hi

Step-by-step explanation:

i'll happy to help you but there isn't question

have a nice day

Answer:

If you make another question, with the picture, i will help you!

Step-by-step explanation:

Have a nice day/night!

Answer:

9

Step-by-step explanation:

There is no radical it's just 9

By simplifying the given expression, the expression [tex]\sqrt[3]{3}[/tex] * [tex]\sqrt[5]{3^6}[/tex] is equivalent to [tex]3^(23/15).[/tex]

To simplify the given expression,  combine the two radicals using the property of exponentiation.

First, simplify the expression inside the second radical:

√[5]{[tex]3^6[/tex]}

Since the index is 5,  rewrite the expression as:

[tex](3^6)^(1/5)[/tex]

Using the property of exponentiation, multiply the exponents:

[tex]3^(6/5)[/tex]

Now combine this result with the first radical:

[tex]3\sqrt3 * 3^(6/5)[/tex]

Since ∛3 can be written as [tex]3^(1/3)[/tex],  rewrite the expression as:

[tex]3^(1/3) * 3^(6/5)[/tex]

To multiply two numbers with the same base, add the exponents:

[tex]3^(1/3 + 6/5)[/tex]

To simplify further, we need a common denominator for the fractions:

[tex]3^(5/15 + 18/15)[/tex]

Combining the fractions:

[tex]3^(23/15)[/tex]

Therefore, the given expression is equivalent to [tex]3^(23/15).[/tex]

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