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It will take 80.63 minutes for the element X to decay to 6 grams.

What is substitution method?

Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

Element X decays radioactively with a half life of 13 minutes.

There are 430 grams of Element X.

Since, The half life formula to solve the problem is;

[tex]A = a (0.5)^{\frac{t}{h}[/tex]

Where, A is final amount, a is initial amount, t is time and h is half life.

Now, We have;

A = 6, a = 430, h = 13

Substitute in above equation we get;

[tex]6 = 430 (0.5)^{\frac{t}{13} }[/tex]

Solve for t as;

Divide by 430,

[tex]\frac{6}{430} = (0.5)^{\frac{t}{13} }[/tex]

[tex]\frac{3}{215} = (0.5)^{\frac{t}{13} }[/tex]

Take log both side;

[tex]ln\frac{3}{215} = ln(0.5)^{\frac{t}{13} }[/tex]

[tex]ln 3 - ln 215 =\frac{t}{13} ln(0.5)[/tex]

Substitute values of all the log as;

1.09 - 5.37 = t / 13 (-0.69)

- 4.28 = t/ 13 (-0.69)

13 x 4.28 = 0.69t

55.64 = 0.69t

t = 55.64 / 0.69

t = 80.63

Thus, It will take 80.63 minutes for the element X to decay to 6 grams.

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Answer:

Step-by-step explanation:

The first 2 are similar because the corresponding angles are equal.

The second 2 are also similar as correspond sides are in the same ratio

5/10 = 6/12 = 9/18.

The finance charge would be the amount of $4.46 on Daniyar's May statement.

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

The finance charge = average daily balance ×  monthly periodic rate

The bill shows an average daily balance of $270.31 and a monthly periodic rate of 1.65%.

The finance charge = $270.31 × 1.65%

The finance charge  = $270.31 × 0.0165

Apply the multiplication operation to get,

The finance charge  = $4.460115

Round the nearest to the hundredth,

The finance charge  = $4.46

Hence, the finance charge would be the amount of $4.46 on Daniyar's May statement.

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Given:

The expenses for the past 2 weeks is as shown in the table

so, the total expenses =

Kelly bank statement says that she has an ending balance of $349

So, the starting balance = 478 + 349 = 827

So, the answer will be: the starting balance = $827

y = 1.65x + 4.50

We can create a linear equation using the variables given to us to represent this situation.

Linear Equations

Most linear equations are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

In context, slope is the cost per mile. That is because the number of miles in the variable in this equation and the cost per mile is the rate at which the variable increases. The y-intercept is the initial charge. That is because the total cost starts a $4.50, even if you haven't gone anywhere yet. Additionally, the initial cost does not change at any point, so it should be a constant.

So, now we can plug the values into slope-intercept form to create a linear equation. (Remember m = 1.65 and b = 4.50)

Solving the Equation

Now that we set up the equation we can solve for y, at different x-values. This means, given the number of miles, we can find the total cost of the trip. We can do this by substituting x-values into the equation.

For example, let's say that a pilot took a 4-mile taxi ride.

First, plug 4 in for x.

Then, simplify.

Finally, add the terms together.

This means if a pilot takes a 4-mile taxi ride, then it will cost $11.10.

Let be "x" the amount of coffee that is sold for $1.20 per pound (in pounds) that the grocer should use in the new mix and "y" the other kind of coffee that is sold for $2.35 per pound (in pounds) that the grocer should use in the new mix

Using the information given in the exercise, you can set up the following System of equations:

Simplifying, you get:

You can solve the system as follows:

1. Multiply the first equation by -1.20.

2. Add the equations.

3. Solve for "y".

Then:

4. Substitute the value of "y" into the first equation.

5. Solve for "x".

Then:

Therefore, the answer is: About 14.61 pounds of the kind of coffee that is sold for $1.20 and about 9.39 pounds of the other kind of coffee that is sold for $2.35 per pound.

First, consider that a quadratic equation in vertex form is given by:

where a is the leading coefficient and (h,k) is the vertex of the curve.

You have the following equation:

In this case, the leading coefficient is a = 1.

The vertex is determined as follow:

Use the following formula to find h:

where we have used b = -6.

Now, to find k use:

Then, h = 3 and k = 3.

By replacing the values of a, h and k, you obtain:

The previous result is the given equation in vertex form.

Answer:

m = - ( 1 / 4 )

Step-by-step explanation:

Slope is rise over run.

y = mx + c;

m = ( Δy / Δx );

They give us two points (-4, 3) and (4, 1).

The change is the difference.

Δy = 3 - 1 = 2;

Δx = -4 - 4 = -8;

m = ( 2 / -8 );

m = -( 1 / 4 );

Negative Quarter

From the information given in the Venn Diagram and the attached table,

a = 13

b = 28

c = 6

d = 22

e = 31

See the calculation below.

A Venn diagram is a famous diagram form that depicts the logical relationship between sets. It was popularized by John Venn in the 1880s.

The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach introductory set theory and to show simple set connections.

With regard to the above calculation, the key to unlocking other unknowns is to first solve for E.

The last row gives the total for each column. Hence, adding 15 + 16 gives us the value of e.

15 + 16 = 31 This can also be arrived at by 50-19 = 31

The Venn diagram reads that 6 Males like cats Hence,

c= 6
d = 6 +16 = 22
a = 19-6 = 13
b = 50 -22 = 28

Hence, a = 13, b = 28, c = 6, d = 22, e = 31

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Answer:

From the information given in the Venn Diagram and the attached table,a = 13b = 28c = 6d = 22e = 31

Step-by-step explanation:

From the information given in the Venn Diagram and the attached table,a = 13b = 28c = 6d = 22e = 31

it is upside down sry...

step 1

Find out the measure of angle C

Remember that

In any triangle, the sum of the interior angles must be equal to 180 degrees

so

A+B+C=180 degrees

substitute given values

49+57+C=180

C=180-106

C=74 degrees

step 2

Find out the length side b

Applying the law of sines

substitute

Solve for b

step 3

Find out the length side c

Applying the law of sines

substitute

solve for c

therefore

Answer:

4.)

Radius: 2.4cm

Diameter: 4.8cm

Circumference: 15.072cm

5.)

Radius: 3.5cm

Diameter: 7cm

Circumference: 21.98cm

6.)

Radius: 7cm

Diameter: 14cm

Circumference: 43.96cm

Step-by-step explanation:

Radius: [tex]d[/tex] ÷ [tex]2[/tex]

Circumference: [tex]d[/tex] × [tex]\pi[/tex] or [tex]2[/tex] × [tex]\pi[/tex] × [tex]r[/tex]

Have a great day <3

Answer:

-1440

Step-by-step explanation:

because mi don't know

Answer:

[tex]-3x^{2} +7x- 4[/tex]

Step-by-step explanation:

use the FOIL method by multiplying: first, outer, inner, last

(4 - 3x)(x - 1)

[tex]4x - 4 -3x^{2} +3x[/tex]

combine x terms:

[tex]- 4 -3x^{2} +7x[/tex]

rearrange terms:

[tex]-3x^{2} +7x- 4[/tex]

Therefore the sales tax is $ 1.7465.

Another approach to express fractions is in percentages, where the denominator is 100. (percent). 'Percent' literally means 'out of 100. For instance, 20% denotes one out of every five because five twenty-dollar bills can fit in a hundred. A percentage can occasionally be expressed as a decimal, with 100% being the same as 1. As an illustration, 0.68 is equal to 68%.

Given:

Price $24.95

Tax 7%

Therefore 7% of  $24.95

= $  7/100 x 24.95

= $ 1.7465

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One ANOVA must be used to compare the groups as there are more than 2 groups and each group has many data values.

The t test, analysis of variance (ANOVA), and covariance analyses are statistical methods used in the testing of the hypothesis for the comparison of means between the groups (ANCOVA).

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The equation for the line that contains the point (5,-3)and is parallel to the line y = 4x +2 is obtained using the point-slope form of the line as y=4x-23.

Use the point's coordinates for (a, b) in the point-slope form to get a line that passes through the point and is parallel to a line: y - b= m (x -a). Simply enter the slope of the previous line for m.

A point (5,-3) and a line y = 4x +2 are given.

Find the slope of the given equation of the line.

On comparison of the given equation of the line with the standard equation of the line, y=mx+c

m=4

Plug the given point and the slope in the point-slope form of the line.

y-(-3)=4(x -5)

y+3=4x-20

y=4x-23

So, the required equation of the line is y=4x-23

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we have the following:

John's rate = x mph

William's rate = x -20 mph

d = d, therefore:

John's rate = 40 mph

Willams's rate = 40 - 20 = 20 mph

Answer:

y = 3x + 12

Step-by-step explanation:

so the point slope form of an equation is is y minus y1 = M (x - X1) where why one equals the first point Y value and X1 is the first point x value and M equals the slope . if you substitute your question into this equation you will you will get y - 21 = 3 ( x - 3).

if you want to be fancy haha you can put this into the linear equation form y = mx + b so then you can add 21 to the other side to get y=3(x-3)+21. after that you foil and get y equals 3x - 9 + 21 . simplify and you get why equals 3x + 12

The frequency counts of values for the various levels of a nominal or categorical variable are displayed in bar charts. Bar graphs can also display additional statistics, including percentages. A sample bar chart for survey response data

When you have at least one category or discrete variable, use bar charts to compare categories. Longer bars denote greater values, and each bar represents a summary value for one discrete level. Counts, sums, averages, and standard deviations are a few examples of summary values. Bar graphs are another name for bar charts.

A bar graph is a visual tool that employs bars to compare data between categories. It is sometimes referred to as a bar chart or bar diagram. A bar graph can be vertically or horizontally oriented. It's crucial to understand that a bar's value increases with length.

Most students scored in the 80-90 range

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Answer:

what ?????? any more information about solving for d

The equivalent ratio to 4/11 is 12 : 33

Two ratios are considered to be equivalent when we compare them.

Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.

It is possible to compare two or more ratios to one another to see if they are equal.

The ratios 1:2 and 2:4 are two examples of equivalent ratios.

In this case, multiplying 4 by 3 and 11 by 3 yields the answer 12: 33, which is the same as 4: 11.

As a result, we may state that 12: 33 is the comparable ratio to 4/11.

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The student is getting enough sleep because the student is sleeping for 7 hours 30 minutes. The inequality for the number of hours of sleep is x ≥ 7 hours.

For the student to be getting enough sleep, the student has to sleep for greater than 7 hours. The first step is to determine the number of hours slept.

In order to determine the time the student spent sleeping, subtract the time he slept from the time he woke up. Subtraction is the process that is sued to determine the difference between two or more numbers.

The sign that represents subtraction is -. In this case, 6 : 30am - 11 : 00pm = 7 hours 30 minutes. The sign to use is ≥ because the student can sleep for 7 hours or greater.

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The student is getting enough sleep.

The inequality that represents the number of hours a student should sleep each night is s ≥ 7 hours.

In order to determine if the student is getting enough sleep, we have to determine the total hours between 11:00pm and 6:30am. The total hours between 11:00pm and 6:30am is 7 hours 30 minutes.  7 hours 30 minutes is greater than 7 hours. Thus, the student is getting enough sleep.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is, ≥ , the greater than or equal to sign

The total hours slept ≥ 7 hours

s ≥  7 hours

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Solving the equation, v/6 - 3 = -11, for v, the value of v = -48.

To solve a given equation, we are required to find the value of the variable in the equation that would make the equation true.

To solve for the variable in an equation, we would need to apply the right properties of equality in other to isolate the variable towards one side of the equation to get the value of the variable.

Given the equation, v/6 - 3 = -11:

v/6 - 3 = -11

Add 3 to both sides

v/6 - 3 + 3 = -11 + 3 [addition property of equality]

v/6 = -8

Multiply both sides by 6

v/6 × 6 = -8 × 6 [multiplication property of equality]

v = -48

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Answer:

Y is 2

Step-by-step explanation:

First, Solve the equation for the variable  y

2y = -3x + 31 : y = -3x/2 + 31/2

Plug this in for variable  y  in the equation:

2x - 5•(-3x/2+31/2) = 8

19x/2 = 171/2

19x = 171

Solve first equation for the variable  x

19x = 171

x = 9

now knowing that x=9, you can plug it into either equation to solve for y.

y = -(3/2)(9)+31/2 = 2

Answer: X=10

Step-by-step explanation:

The equation of a line perpendicular to  y = x - 9 and passes through (-7, 1) is y = - x - 6

The equation of a line can be represented in a point slope form as follows:

y - y₁ = m(x - x₁)

where

Therefore, the line is perpendicular to  y = x - 9 and passes through (-7, 1).

Perpendicular lines follows the rule:

m₁ m₂ = -1

1m₂ = -1

m₂ = -1

Hence, let's find the y-intercept of the equation of the lines using (-7, 1)

y = - x + b

1 = - (-7) + b

1 = 7 + b

1 - 7 = b

b = -6

Therefore, the equation of the line is y = - x - 6

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Answer: 100 and 350

Step-by-step explanation:

Let x be the smaller one.

Based on the second statement, [tex]3x + 50[/tex] is the larger one.

[tex]x + 3x + 50 = 4x + 50 = 450; x = 100[/tex]

Based on that, the larger one is 450 - 100 = 350

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

What are a parallelogram's  characteristics?

Parallelograms' characteristics

A quadrilateral is referred to as a parallelogram in geometry.

The opposite sides of a parallelogram are parallel and of equal length. Rhombus, rectangle, and square are a few instances of parallelograms.

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