HELPPP PLEASEEE!!! Geometry checkpoint

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

The function that represents the dotted line of the graph using transformation rules is; f(x - 1) - 4.

For the function f(x) of the given graph,  when we look at the solid line, we see that it has a root at x = -1 which means it has a zero at x = -1.

However, when observing the dashed line, we see that it has a root at x = 0 which means it has a zero at x = 0.

Thus, we can  deduce from transformation rules that the function was moved by 1 unit to the right to get the new function.

Secondly, we observe that the dashed line is also below the function f(x), and we observe further that 4 was subtracted. Therefore, when we use the transformation rules again for subtracting from a function, we get the final function as; f(x - 1) - 4.

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Answer:

A

Step-by-step explanation:

you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.

Hope that helps

the answer is 4/5 this is know to be hard

Answer:

Step-by-step explanation:

The function y = (e⁻⁽ˣ⁺²⁾) / x + 2  increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but  concave downwards along (-∞, 1) ∪ (1 ,∞)

An extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.

The function given;

y = (e⁻⁽ˣ⁺²⁾) / x + 2

The extrema and intervals of increase or decrease of this function are

(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)

2. The inflection points and intervals of concavity and convexity of the function

y = 2x - 1 / (x - 1)² are

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Answer:

C - 136

(115+157)/2

Step-by-step explanation:

Answer:I think irs 3

Step-by-step explanation:

You know me triple og gone to pien

The types of angles include the supplementary, complementary, adjacent and vertical angles.

An angle is defined as the common point that is being formed when two straight lines meet at a common endpoint.

There are various types of angles that include the following:

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False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.

What is exponential decay function?

In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.

                     It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.

How do you calculate an exponential function?

The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.

                               The exponential function, which has the form, is a significant mathematical function. f(x) = ax.

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The the coefficient of variation for set a is 15.7% and the coefficient of variation for set b is 22.3%.

The formula for calculating the coefficient of variation is:

CV = (standard deviation / mean) x 100%

where standard deviation is a measure of the spread of the data around the mean. The CV expresses the standard deviation as a percentage of the mean.

To calculate the CV for set a, we first need to find the mean and standard deviation of the data set. The mean can be calculated by adding all the values and dividing by the number of values.

Mean = (3.97 + 3.47 + 3.99 + 4.30 + 3.16 + 3.07 + 4.24 + 2.94 + 3.56 + 3.43 + 3.06 + 3.34 + 4.35 + 3.57) / 14 = 3.65

The standard deviation can be calculated using a calculator or a spreadsheet software such as Microsoft Excel. For this set, the standard deviation is 0.574.

CV = (0.574 / 3.65) x 100% = 15.7%

To calculate the CV for set b, we need to first remove the dollar sign from each value and then find the mean and standard deviation.

Mean = ($24,800 + $30,000 + $22,300 + $20,400 + $19,000 + $32,200 + $23,000 + $23,000 + $24,000 + $27,200 + $34,900) / 11 = $25,727.27

The standard deviation can be calculated using a calculator or spreadsheet software. For this set, the standard deviation is $5,746.38.

CV = ($5,746.38 / $25,727.27) x 100% = 22.3%

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The simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

The given expression is simplified as follows;

The given expression is written as;

ab³/a⁴b  +  (c²)³

To simplify the expression given above, we will divide the fraction with the common factor as follows;

From the numerator; ab³, we will factor out "ab"

From denominator; a⁴b, we will factor out "ab"

The resulting expression becomes;

ab³/a⁴b  +  (c²)³

= b²/a³  +  c⁶

Note: for the power of c, we simplify by multiplying 2 and 3 = 6

Thus, the simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

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Answer

You need to pay $14.20 to get 4 coffees and 6 donuts.

Explanation

Let's say that the price of one coffee and x and the price of one donut is y.

In the first instance, 3x+4y=10.05.

In the second instance, 5x+7y=17.15.

You can use these equations to find the value of a coffee and the value of a donut.

We can find x and y using elimination. To do this, you should add or subtract one equation from another to "get rid" of a variable (I'll "get rid" of x). We can't just add or subtract the equations right now, since that wouldn't lead to 0x.

Multiply the first equation by 5, and the second equation by 3. After this, both equations will have 15x. Make sure to multiply each term by 5 and 3.

15x+20y=50.25. This means that 15 coffees and 20 donuts is $50.25.

15x+21y=51.45. This means that 15 coffees and 21 donuts is 51.45.

Now since there are an equal number of coffees, we can subtract these equations.

(15x+21y=51.45)-(15x+20y=50.25) equals y=1.20 (a donut costs $1.20).

Plug the price of the donut into y to find x; 3x+4(1.20)=10.05. The value of x is 1.75. The price of a coffee is 1.75.

You can multiply 1.75 by 4 to find the price of 4 coffees and 1.20 by 6 to find the price of 6 donuts.

1.75*4 is 7.00 and 1.20*6 is 7.20.

You can add those to find the total price; 7.00+7.20=14.20.

Answer:

(a) Irrational

(b) Irrational

Step-by-step explanation:

Given (Missing Operations):

\(m * x\)

\(n * y\)

The options are:

Rational             Irrational

(a) \(m * x\)

m is a rational number while x is an irrational number.

And we know that:

\(rational * irrational = irrational\)

Hence:

\(m * x = Irrational\)

(b) \(n * y\)

n is a rational number while y is an irrational number.

And we know that:

\(rational * irrational = irrational\)

Hence:

\(n * y = Irrational\)

You're being told to make 5.894 bigger (because the exponent is a positive 6) and to do so by moving the decimal 6 places to the right.  

You're essentaily muliplying 5.894 by 10 a told of six times and time you multiply a number by 10, you move the decimal one place to the right.

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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6 kiloliters are approximately equal to 202,884.14 fluid ounces.

We have,

To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.

The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.

This means that for every kiloliter, there are 33814.0227 fluid ounces.

To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).

= 6 kL x 33814.0227 fl oz/kL

= 202884.1362 fl oz

Therefore,

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

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Answer:

hello! :)

5% of 1000 is 50.

Explanation:

You evaluate the expression.

5% x 1000

Answer: 950 is it

Step-by-step explanation:

\(\qquad\) ☀️\(\pink{\bf{ {Answer = \: \: -2 }}} \)

Let assume –

As we know – The slope formula is or the change in the y values over the change in the x values.

\(\qquad\) \(\pink{\twoheadrightarrow\bf Slope, m = \dfrac{y_2-y_1}{x_2-x_1}}\)

According to the question –

\(\qquad\) \(\pink{\twoheadrightarrow\bf \dfrac{y_2-y_1}{x_2-x_1} = 9}\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{3 -(-6)}{-1-t}=9\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{3+6}{-1-t} = 9\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{9}{-1-t}=9\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{1}{-1-t} = \dfrac{9}{9}\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{1}{-1-t} =\cancel{ \dfrac{9}{9}}\)

\(\qquad\) \(\twoheadrightarrow\sf -1-t = 1 \)

\(\qquad\) \(\twoheadrightarrow\sf -t = 1+1 \)

\(\qquad\) \(\twoheadrightarrow\sf -t = 2\)

\(\qquad\) \(\pink{\twoheadrightarrow\bf t = -2}\)

answer:  When we are given 2 points, we can find the slope using those 2 points.  Now one point is missing a y-coordinate.  We use the formula for slope to find the value of r.

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

Let Point 1 = (-9, r) = (x1 , y1)

Let Point 2 = (-8, 0) = (x2 , y2)

Plug in these values into the formula for slope.  By doing so, we can get an equation that allow us to solve for r.

6 = (0 - r) / (-8 - (-9))

6 = -r / (-8 + 9)

6 = -r / 1

Multiply both sides of equation by 1.

6 = -r

Divide both sides of equation by -1.

-6 = r

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Range: {16 }

Domain:(- ∞ ,  ∞ ),{ x| x∈  R }

Step-by-step explanation: Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

The correlation coefficient for x1 and y is 0.91, The correlation coefficient for x2 and y is 0.55 and The correlation coefficient for x1 and x2 is -0.33

Calculating the Correlation Coefficient for x1 and y:

Step 1: Calculate the mean of x1:  Mean of x1 = (30 + 46 + 24 + 51 + 41 + 51 + 74 + 37 + 60 + 77) / 10  Mean of x1 = 47.1

Step 2: Calculate the mean of y:  Mean of y = (94 + 109 + 112 + 178 + 94 + 176 + 171 + 117 + 142 + 212) / 10  Mean of y = 134.1

Step 3: Calculate the standard deviation of x1:  Standard Deviation of x1 = √(((30 - 47.1)2 + (46 - 47.1)2 + (24 - 47.1)2 + (51 - 47.1)2 + (41 - 47.1)2 + (51 - 47.1)2 + (74 - 47.1)2 + (37 - 47.1)2 + (60 - 47.1)2 + (77 - 47.1)2) / 10)

Standard Deviation of x1 = 17.43  

Step 4: Calculate the standard deviation of y:  Standard Deviation of y = √(((94 - 134.1)2 + (109 - 134.1)2 + (112 - 134.1)2 + (178 - 134.1)2 + (94 - 134.1)2 + (176 - 134.1)2 + (171 - 134.1)2 + (117 - 134.1)2 + (142 - 134.1)2 + (212 - 134.1)2) / 10)

Standard Deviation of y = 38.82  

Step 5: Calculate the covariance of x1 and y:  Covariance of x1 and y = ((30 - 47.1) × (94 - 134.1) + (46 - 47.1) × (109 - 134.1) + (24 - 47.1) × (112 - 134.1) + (51 - 47.1) × (178 - 134.1) + (41 - 47.1) × (94 - 134.1) + (51 - 47.1) × (176 - 134.1) + (74 - 47.1) × (171 - 134.1) + (37 - 47.1) × (117 - 134.1) + (60 - 47.1) × (142 - 134.1) + (77 - 47.1) × (212 - 134.1)) / 10  

Covariance of x1 and y = 393.3

Step 6: Calculate the correlation coefficient of x1 and y:

Correlation Coefficient of x1 and y = Covariance of x1 and y / (Standard Deviation of x1 × Standard Deviation of y)  = 393.3 / (17.43 × 38.82)

Correlation Coefficient of x1 and y = 0.91

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consider the following data for a dependent variable y and two independent variables, x1 and x2. x 1 x 2 y 30 12 94 46 11 109 24 17 112 51 16 178 41 6 94 51 19 176 74 7 171 37 13 117 60 13 142 77 16 212 round your all answers to two decimal places. enter negative values as negative numbers, if necessary. Show the correlation coefficient for each variable

Answer:

Adam's thinking is not correct.

When subtracting 10 from 708, we need to borrow 1 from the hundreds digit and add it to the tens digit. This will result in a new hundreds digit of 6 and a new tens digit of 9. The ones digit remains the same. Therefore, the correct answer would be 698.

Adam's answer is also 698, but his reasoning is incorrect. He thinks that both the tens and hundreds digits change, which is not the case. In reality, only the tens digit changes while the hundreds digit decreases by 1 due to the borrowing process.

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The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

29.00

Step-by-step explanation:

A stop sign has 8 sides and 8 interior angles.

An 8 sided polygon is called an octagon.

The x-intercepts of the given equation 4x^2-12x+4 is -3/2

What is Quadratic equation ?

Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0

where c is a constant.

Given equation ,

y = 4x^2+12x+4

so we have to find the x-intercept , make y = 0

and we have to solve for the given quadratic equation

so,

we get

4x^2+12x+4 = 0

(2x)^2 + 9 + 12x = 0

(2x+3)^2 = 0

x = -3/2

There is double root unique intercept or tangent at  x  = -3/2

Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2

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Answer:

24:
6 of 4
or

8 of 3

Step-by-step explanation:

6x4=24
8x3=24