Number 14 please help I’m feolifn

Answer:   Approximately 193 years

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

Work Shown:

y = number of years

s(y) = amount of Strontium-90 (Sr-90) in grams

We plug in s(y) = 1 and solve for y to determine how long it takes for the initial 100 gram sample to decay to 1 gram.

s(y)=100*0.5^(y/29)

1=100*0.5^(y/29)

1/100 = 0.5^(y/29)

0.01 = 0.5^(y/29)

Log[ 0.01 ] = Log[ 0.5^(y/29) ] .... see note1 below

Log[ 0.01 ] = (y/29)*Log[ 0.5 ] .... see note2

(y/29)*Log[ 0.5 ] = Log[ 0.01 ]

y/29 = Log[ 0.01 ]/Log[ 0.5 ]

y = 29*Log[ 0.01 ]/Log[ 0.5 ]

y = 192.671829503468

y = 193

Footnotes

The value of given expression is F(x) = (-3 +4√-1)

An expression is a set of numbers or variables combined using the operations + , – , × or ÷ . Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.

Given i = √-1

F(x) = ( 1 + 2i)²

F(x) = ( 1 + 4i² + 4i)

F(x) = ( 1 - 4 + 4√-1)

F(x) = ( -3 + 4√-1)

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Answer:

Step-by-step explanation:

Second answer: Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

Third answer: The transitive property of equality formula is given as follows: If x = y and y = z, then x = z. Where x, y and z belongs to the same category elements. For example, if “x” represents the measurement of a line segment, then y and z should represent the measurement of the line segment.

Fourth answer: Congruent segments are segments that have the same length. ≅ Points that lie on the same line are called collinear.

Answer: B. 24

Step-by-step explanation:

275+325= 600

600/25 = 24

Hence, 24 is the outcome

B. 24 is your answer

The statement which is true of the growth rate of the functions over the interval 0 ≤ x ≤ 1 is that: B. The exponential grows at the same rate as the quadratic.

The rate of change can be defined as a type of function that describes the average rate at which a quantity increases or decreases with respect to another quantity.

Mathematically, the rate of change can be calculated by using this formula;

[tex]Rate = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Rate = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

From the given interval and graph (see attachment), the data point for the exponential function would be as follows:

Next, we would calculate the rate of change of the exponential function over the given interval:

Rate of change = (2 - 1)/(1 - 0)

Rate of change = 1/1

Rate of change = 1.

From the given interval and graph (see attachment), the data point for the quadratic function would be as follows:

Next, we would calculate the rate of change of the quadratic function over the given interval:

Rate of change = (1 - 0)/(1 - 0)

Rate of change = 1/1

Rate of change = 1.

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Answer:

3x+y = 8

yes, its parallel

Step-by-step explanation:

Choices:

a. 3x+y=18

b. 3x+y=-8

c. 3x+y=8

d. 3x+y=-10

1. if we plug in (6, -10) to 3x+y=8 we get:

3(6) + (-10) = 8

18 - 10 = 8

8 = 8, this is true

2. if we simplify 6x+2y=12 we get:

2y = -6x + 12

y = -3x + 6

if we simplify 3x+y = 8 we get

y = -3x + 8

the slopes of the equations are the same, therefore they are parallel.

51.75 is the amount of VAT.

How does the VAT work?

=  15% of VAT on  Rs 345

= 345 * 15%

= 345 * 15/100

= 51.75

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Step-by-step explanation:

If Cora uses the 15% off coupon first then the new total is $92.65. After using the $10 off coupon, the total is $82.65.

If Cora uses the $10 off coupon first, the total goes to $99. Taking 15% off of $99 leaves her with a total of $84.15.

Thus, it would be better for Cora to use the 15% off coupon before using the $10 off coupon.

The linear equation in the slope-point form is:

(y - 4) = 2*(x - 3)

For a line with a slope M that passes through a point (a, b), the point-slope form is:

(y - b) = M*(x - a)

And if the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

M = (y₂ - y₁)/(x₂ - x₁)

In this case the line passes through (3,4) and (6,10) is:

M = (10 - 4)/(6 - 3) = 6/3 = 2

And using the point (3, 4), we can write:

(y - 4) = 2*(x - 3)

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Answer:

Step-by-step explanation:

the answer is 1.3 gigabytes

Answer:the equation which can be used to determine the number of gigabytes is 35.5 + 5x = 42 and the solution is  x = 1.3

Step-by-step explanation:

Answer:

its C cause when it said permit plus $15 for each member in the family they mention by C

Answer:

m = 1/7

Step-by-step explanation:

Given:

(x1 = 7, y1 = 0) and (x2 = 0, y2= -1)

We know:

slope m = vertical change in y / horizontal change in x

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

Calculate slope:

m= (y2-y1)/(x2-x1) = (-1-0)/(0-7) = -1/ -7 = 1/7

Since the zeroes are 1/3 which has multiplicity 2, -4 and i, then

The factors of the polynomial are

Multiply the 3 factors

Multiply The first 2 brackets

Add the like terms in the 1st bracket

Multiply the 2 brackets

Add the like terms

Since the leading coefficient is 63, multiply all terms by 7

Expressions can be represented as equations or inequalities

(a) The hiker's backpack weighs 15 lb.

(b) the hiker can add additional 19.5 pounds

The inequality that represents the additional weight is:

The hiker can add additional 19.5 pounds

(a) Long hike

The hiker's weight is given as:

, the recommended weight (x) of the backpack is calculated as:

The hiker's backpack weighs 15 lb.

So now what weare supposed to do is

Subtract 15 from both sides

(b) Day hike

The hiker's weight is given as:

The hiker is embarking on a day hike (i.e. short hike), the recommended weight (x) is calculated as:

The hiker's backpack weighs 7.5 lb.

So, the additional weight the hiker can add is represented as:

Subtract 7.5 from both sides

Hence, the hiker can add additional 19.5 pounds

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The values of x that will give a range of 55 include 42 and -13.

A range simply means the difference between the highest number that is given and the lowest number that is given.

In this case, the chose numbers include:.

Larger number = 42

Smaller number = -13

Range = Larger number - Small number

= 42 - (-13)

= 42 + 13

= 55

The range of 55 is gotten.

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The two possible values of x given the range are -13 and 58.

Range is used to measure the variation of a dataset. Range is the difference between the highest number in the dataset and the lowest number in the dataset.

Range = highest number - lowest number

x can either be the largest number in the dataset or the smallest number in the dataset.

Value of x if it is the smallest value in the dataset.

42 - x = 55

x = 42 - 55

x = -13

Value of x if it is the largest value in the dataset.

x - 3 = 55

x = 55 + 3

x = 58

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Answer:

x ≤ -6

Step-by-step explanation:

4(x-3) -7x ≥ 6  Distribute the 4

4x  - 12 -7x ≥ 6  Combine like terms

-3x - 12 ≥ 6  Add 12 to both sides

-3x ≥ 18  Divide both sides by -3  Remember to flip the inequality sign

x ≤ -6

The length of the ramp is 10.7 feet high.

What is ratio of triangle ?

 The definition of the tangent (tan) of the angle is the ratio of the opposing to the neighbouring in any right triangle. The tangent's value for the red triangle is given by: tan(c) = 1 / 2 =.5. We maintain the same angle c for the blue triangle, but we have doubled the sizes of the adjacent and opposite sides.

It always helps to draw a diagram and find the right triangle.  

In this case, the triangle has the loading dock as one leg, the ramp as the hypotenuse, and the distance of the ramp from the loading dock as the other leg.

Call that distance x.  Use the tangent of 25° to find x.

=> tan(25°) = [tex]\frac{opposite }{adjacent}[/tex]

=> tan(25°) = [tex]\frac{5}{x}[/tex]

=> x = 5/ tan(25°)≈ 10.7 feet.

Hence the length of ramp is 10.7 ft.

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Answer:

-16/35

Step-by-step explanation:

4/7 ÷ -5/4

=> 4/7 × -4/5

=> -16/35

The food is available for all snow geese for 11.5 days before the research and rescue center runs out.

According to the question,

We have the following details:

Number of snow geese in the research and rescue center = 9

Number of ounces of seeds eaten by each goose = 16 ounces

So, number of ounces of seeds eaten by 9 snow geese = (16*9) ounces

Number of ounces of seeds eaten by 9 snow geese = 144 ounces

Now, there are 1,656 ounces of seeds.

So, the number of days before the center runs out of the food = Total number of ounces of seeds/Number of ounces of seeds eaten by 9 snow geese

Number of days before the center runs out of the food = 1656/144

Number of days before the center runs out of the food = 11.5 days

Hence, the number of days for which food is available for all snow geese before the center runs out is 11.5 days.

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Answer:

The food is available for all snow geese for 11.5 days before the research and rescue center runs out.

Step-by-step explanation:

Answer:

(What's a number story?) Sam had 10 coins. Then, he gave 3 to his sister. How much money does he have left?

Addition fact: I think it's that you have to take the amount of money he has left (Which is 7), and add it to 3 to make 10.

Hope this helps!

Answer:

x int = (5,0)

y int = (0,-2)

Step-by-step explanation:

To solve for x int set y as zero

4x - 10(0) = 20

4x - 0 = 20

4x = 20 divide by 4 to get x alone

x = 5

To solve for y set x as zero

4(0) - 10y = 20

0 - 10y = 20

- 10y = 20 divide by -10 to get y alone

y = -2

    Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

The slope of parallel lines is the same. By converting the line 2x -4y = 8 to slope intercept form, first determine its slope.

4y = 8-2x y = 1/2x - 4 2x + 4y = 8

Here, the slope is 1/4

Fill in the point slope form with (-2, -4) and m = 1/4 After that, simplify to obtain the standard form and slope intercept form.

The slope intercept form is y = 1/4x + 6, while the point slope form is y - (-4) = 1/4(x+4).

Now, by rearranging the terms into the formula Ax + By = C, the standard form may be discovered.

6 becomes -1/4x + y = 6 when y= 1/4x + 6. Since fractions for A or B cannot be expressed in standard form, the equation is multiplied by 4 to get x + 4 y = 24.

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The area of Rachel's bedroom is 72 square feet. The bedroom area that is eight times of Rachel's closet. The length of the closet if it is 3 feet wide is 3.

Given that,

The area of Rachel's bedroom is 72 square feet. The bedroom has an area that is eight times that of Rachel's closet.

We have to find what is the length of the closet if it is 3 feet wide.

First we divide the area of Rachel's bedroom is 72 square feet and eight times that of Rachel's closet.

72/8=9

Now, we multiply 3 and the length as l is equal to 9 feet wide

3×l=9

l=9/3

l=3

Therefore, The length of the closet if it is 3 feet wide is 3.

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The equation are

1. V = 18,000(0.78)^t is exponential decay.

2. P = 4500(1.04)^t is exponential growth.

3.A = 7000(1.0575)^t is exponential growth.

4.P = 50(1/2)^t is exponential decay.

5.P = 45(2)^t is exponential growth.

6.A = 9000(0.9)^t is exponential decay.

Given that,

We have to find which equation is exponential growth and exponential decay.

Knowing that an exponential function takes the form where a represents the function's y=a.bˣ initial value a and b represents its exponential growth or exponential decay, B should be more than 1 for exponential growth and less than 1 for exponential decay.

b>1= exponential growth.

b<1= exponential decay.

Let's now examine each equation in turn to see which one represents exponential growth and which exponential decay.

1. [tex]V=18000(0.78)^{t}[/tex]

The initial values a and b in this option are 18000 and 0.78 respectively. Since 0.78 is smaller than 1, this equation describes exponential decay.

2.[tex]P=44500(1.04)^{t}[/tex]

Since 1.04 is obviously more than 1, and we can see that a = 4,500 and b equals 1, we may conclude that this equation represents exponential growth.

3.[tex]A=7000(1.0575)^{t}[/tex]

Since 1.0575 is clearly more than 1 and since a equals 7000 and b equals 1.0575, this equation clearly represents exponential growth.

4.[tex]P=50(1/2)^{t}[/tex]

Given that a = 50 and b equals 1, and that 0.5 is unmistakably less than 1, it is evident that this equation describes exponential decay.

5. [tex]P=45(2)^{t}[/tex]

Since a and b are equal to 45 and 2, respectively, and 2 is obviously greater than 1, this equation represents exponential growth.

6.[tex]A=9000(0.9)^{t}[/tex]

Since 0.9 is obviously less than 1 and that an equals 9000 and b equals 0.9, this equation represents exponential decay.

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Answer: 0.67 Just subtract

Step-by-step explanation:

I'm confused about what you are asking But ill assume you want to subtract?

1.13 minus 0.46 is 0.67

Answer:

0.67

Step-by-step explanation:

just get the answer taking out

Answer:

Having 1 angle being 90 degrees

Answer:

j = [tex]\frac{4}{20}[/tex]

Step-by-step explanation:

[tex]\frac{13}{20}[/tex] = j + [tex]\frac{9}{20}[/tex] ( subtract [tex]\frac{9}{20}[/tex] from both sides )

[tex]\frac{13}{20}[/tex] - [tex]\frac{9}{20}[/tex] = j , that is

j = [tex]\frac{4}{20}[/tex]

Answer: its 22over40

Step-by-step explanation:

The t-statistic is the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column is 2.06

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

The number of degrees of freedom will be n - k

The confidence level in the confidence interval

The parameters given in the question is;

The number of pizza orders in the sample is n

The sample size = 26

The number of samples used in the estimate, k = 1 group of 26 randomly sampled.

The level of confidence that the interval contains the population mean = 95%

Therefore, the significance level;

α = 1 - 95% = 1 - 95/100

= 0.05

Here α-level for the upper and lower limit of the interval are;

α/2 = 0.05/2 = 0.025 long

The degrees of freedom, DF = n - k

DF = 26 - 1 = 25

The t-statistic is the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column);

[tex]t_{\alpha/2, DF} = 2.06[/tex]

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