2. Solve for x. Show your work.
45x 4 = 642x+12

The half life of the iodine is obtained as 6.2 s.

Let us recall that the half  life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.

Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;

Half life = 0.693/K

Half life = 0.693/0.1113

Half life = 6.2 s

It would have the half life about 6.2 s.

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Answer:

The decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.

At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:

[tex]H_0: \mu = 410[/tex]

At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:

[tex]H_0: \mu < 410[/tex]

Type of test:

As we test if the mean is less than a value, we have a left-tailed test.

We have the standard deviation for the sample, which means that the t-distribution is used.

We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.

Using a calculator, the critical value is [tex]t_c = -1.721[/tex]

Determine the decision rule for rejecting the null hypothesis.

We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is [tex]t < -1.721[/tex]

Answer:

Step-by-step explanation:

Marina,  everyone has a tough time with this type of math problem,   just send me a note if you get stuck on these.   :P

You're given two points,  

P1 = (-4,8)  in the form (x1,y1)

P2 = (1,3)   in the form (x2,y2)   ( I made the forms, so can you )

slope = m

m = (y2-y1) / (x2-x1)

m = (3-8) / ( 1 - (-4))

m = -5 / (1 + 4)

m = -5 / 5

m = -1

now use the point-slope formula

y-y1=m(x-x1)

y-(8) = -1(x-(-4))

y-8 = -1(x+4)

y-8 = -x -4

y = -x-4+8

y = -x +4

That's the equation  :P

Answer:

Direct variation

Step-by-step explanation:

Given

[tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex]

Required

The type of variation

The given equation represents a direct variation.

A direct variation is:

[tex]a = kb[/tex]

Where

[tex]k\to[/tex] constant of variation

Make k the subject

[tex]k = \frac{a}{b}[/tex]

For corresponding values of and b, we have:

[tex]k = \frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3} = ............. =\frac{a_n}{b_n}[/tex]

Hence, [tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex] is a direct variation

Answer: B  y = -4/7x + 7

Step-by-step explanation:

The equation in the form y = mx + b

m = -4/7 and b = 7

Equation: y = -4/7x + 7

Answer:

d. a value of the variable that makes the polynomial equal to zero

Answer:

uyt6?

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.124

Answer:

C. No; there is no relationship between the x value and its corresponding y value.

Step-by-step explanation:

I calculated it logically

Answer:

The correct answer c. No; there is no relationship between the x value and its corresponding y value

Anwnser:

1...3

Step-by-step explanation:

i dont know how to explain Hope it helps

Answer:

hi

Step-by-step explanation:

4       0 8 9

5       2 5

6       4

7       0 1 2 2 8 8 9

8       7 9

Answer:

a,b,c are divisible by 2

Answer:

66.14inches

Step-by-step explanation:

pyhtgreom therom

75^2+b^2 = 100^2

5625 + b^2 = 10,000

subtract both sides by 5625

b^2 = 4375

square root both sides

b = 66.14

Step-by-step explanation:

B.12x + 1

if it helps brainiest lol

To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.

In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

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Choices that is equivalent to the expression √5. √20 is 5.2

In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

x= (5)^1/2*(20)^1/2

x= (5)^1/2*(2.2.5)^1/2

x=5.2

So B is the correct option.

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Answer:$5.07

Step-by-step explanation:you are welcome

Brendon paid $5.075 in total.

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, Brendon bought an iced tea that cost $4.06 plus 7% sale tax if Brandon left on 18% tip on the $4.06

The total he pay =

= 7% of 4.06 + 18% 0f 4.06 + 4.06

= 0.2842+0.7308+4.06

= 5.075

Hence, Brendon paid $5.075 in total.

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Mary paid $3.80 per pound and Mark paid $4.00 per pound.

19 ÷ 5 = 3.80

16 ÷ 4 = 4

Mary's unit rate is less than Mark's unit rate.

To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.

Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:

The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased

= $19 / 5 pounds

= $3.80 per pound

Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:

The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased

= $16 / 4 pounds

= $4.00 per pound

Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.

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Answer:

C) 60°

Step-by-step explanation:

Each side of the triangle is a radius of the circle.  Since all three sides are equal, it’s an equilateral triangle, so they are all 60° angles.

Answer:

a=L² is is the formula for the area of square. where L represent the length.

a=(12cm)²

a=144cm²

p=4(L) is the formula for the perimeter of a square. where L represent the length

p=4(12cm)

p=48cm

The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.

Let s represent the cost of the shoes.

Now, equation is

8% of s=10

8/100 ×s=10

0.08s=10

s=10/0.08

s=$125

Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

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Answer:

1.) True

2.) True

3.) False

4.) True

Hope this helps!

the true statements for 8u + 5 + 3v are:

1.) 8u+3v+5 is written as a sum of three terms.

4.)5 is a constant.

The word "constant" in mathematics has several different connotations. When used as a noun, it can have either of the following two meanings: Non-variance (i.e., not changing in relation to some other value) or Variance.

an unchanging number or other non-changing mathematical object that is fixed and well-defined. Sometimes, to distinguish between these two meanings, the terms mathematical constant or physical constant are used.

a function with a constant value (i.e., a constant function).

These constants are frequently represented by a variable that is independent of the main variable or variables in question.

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Answer:

easy theanswer is -14x

Step-by-step explanation:

Answer:

  See attached

Step-by-step explanation:

You want the solution to the inequality -12x < -48 shown on a number line.

The solution to the inequality is found by dividing by the x-coefficient

  -12x < -48

  x > 4 . . . . . . . divide by -12

When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.

The value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.

The graph of the solution is shown in the attachment.

__

Additional comment

Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...

  48 < 12x

Now, you can divide by 12 without worrying about the inequality symbol:

  4 < x . . . . . same as above