Which value is not equivalent to the others two to the fifth power or two to the second power times two to the third power or 2+2+2+2+2 or 2×2×2×2×2

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.

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:

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

Step-by-step explanation:

Factor 3n³−12n²−30n

3n³−12n²−30n

=3n(n²−4n−10)

Using inequality we can calculate that within the budget the manager can buy 11 headsets.

Any monotonically rising function, as long as both expression portions fall inside the scope of that specific function, can be applied to both sides of an inequality without destroying the relationship between the two.

If a monotonically falling function were applied to both ends of an inequality, the inequality relationship would be inverted.

The equations for the additive reverse and the multiplicative reverse for positive numbers are two examples of employing a monotonically decaying function.

Let the manager can buy x headsets.

Cost of x headsets = 12x

Money saved = 20

Budget = 155

Therefore we write the represented inequality as :

12x + 20 < 155

or, 12 x < 135

or, x < 11.25

Now the number of headsets can not be a decimal number, therefore 11 headsets need to be bought.

Therefore the manager can buy 11 headsets.

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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

4[tex]\frac{13}{30}[/tex] is the solution of equation as a mixed number in simplest form.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction. Arithmetic. a number, such as 412 or 4.5, that combines a whole number with a fraction or decimal. Rational numbers encompass all mixed numbers. 315 may be written as 165, making it a logical number. All decimals that either end or start to repeat after a certain point are considered rational numbers. Because 0.2 may be represented as 15, it is a rational number.

Given Data

[tex]\frac{1}{3}[/tex] + 4.1

[tex]\frac{1}{3}[/tex] + [tex]\frac{41}{10}[/tex]

Taking LCM,

[tex]\frac{10+123}{30}[/tex]

[tex]\frac{133}{30}[/tex]

4[tex]\frac{13}{30}[/tex] is the solution of equation as a mixed number in simplest form.

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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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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.

Answer:

A rectangle is 32ft by 8ft. Ross dilated the rectangle and the dimensions of the image were 80ft by 20ft. What was the scale factor used?

Step-by-step explanation:

A rectangle is 32ft by 8ft. Ross dilated the rectangle and the dimensions of the image were 80ft by 20ft. What was the scale factor used?

Answer:

Area of rectangle is given as length x breadth/width, where the length is the longer side and the breadth/width is the shorter side.

Let length be l.

l x 3 = 27

l = 27 ÷ 3

 = 9

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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By using unitary method, we get that 150.68 pesos are worth $ 7.6 .

An individual or singular unit is referred to as unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

We know 1 U.S. dollar = 19.61 Mexican pesos

Thus by unitary method, we get ;

1 Mexican pesos = 1 / 19.61 dollars

this implies 1 Mexican pesos = 0.5099

To find : 150.68 pesos worth

Therefore , 150.68 pesos worth = 150.68 × 0.5099

                                                    = 7.683 dollars

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Answer:

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

The box is the right rectangular prism.

Its volume is the product of its three dimensions:

We need to find each dimension and multiply them to get the desired function.

The height is same as size of the cut, so it is x units.

The length was 14 units but it is now cut from bot ends so it is now:

The width was 6 units but it is too cut from the both ends by x units:

We have all three dimensions, find the volume:

V = (14 - 2x) (6 - 2x) x cubic units.

The polynomial function formed by given dats is V=(14 - 2x) (6 - 2x) x

Here given,

A rectangle has 14 units of length and 6 units of width.

From each corner of the rectangle, four squares with dimensions of x by x units are cut out.

The box's length is equal to (14 - 2x) units.

The box's width is =(6 - 2x) units.

The box's height is = x unit.

The volume of the box is equal to the sum of its length, width, and height.

Cubic units =(14 - 2x) (6 - 2x) x

∴V=(14 - 2x) (6 - 2x) x

where V is the box's volume in cubic units

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The slope-intercept form of the described line's equation. through (2,-4) and is perpendicular to y = 2x +1. y = 2x + 0 is the slope intercept form.

                         y = mx + b. (0, b).

Here given a point (2 , -4)

and given an equation, y = 2x + 1

we know that slope intercept form = y = mx + b

to get value of b ,

substitute x and y in perpendicular equation ,

so we get ,

   - 4 = 2 x 2 + b

   - 4 = 4 + b

   - 4 - 4 = b

   b = 0;

So the slope intercept form = y = 2x + 0

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Answer:

g(x) = x - 8

Step-by-step explanation:

f(x) = x - 5

g(x) = f(x-3) = f(x-5) - 3 = x -8

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: X=10

Step-by-step explanation:

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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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:

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

Answer:

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

Yes, because it looks like there is a downward pattern in the scatter plot. It appears that the types of energy that have facilities that are more expensive to build are less expensive to operate.

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.

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: 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

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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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:

c) -31

Step-by-step explanation:

Given expression,

→ -51 - 17 -(-37)

Let's solve the expression,

→ -51 - 17 -(-37)

→ -51 - 17 + 37

→ -51 + 20 = -31

Hence, the answer is -31.