Which of these functions has an Inverse function? Select all that apply.
Oy=x²
Oy=x³
Oy=x4
Oy=x

Answer:

The answer remains the same (45.3191)

Step-by-step explanation:

0.029 is 100 times smaller than 2.29 but 1979 is 100 times bigger than 19.79. The 100’s cancel each other out so the answer remains the same.

Answer:

9.3

Step-by-step explanation:

Answer:

9.3

Step-by-step explanation:

\(A^{2} +B^{2} =C^{2}\)

\(6.1^{2} +7^{2} =C^{2}\)

\(37.21+49=C^{2}\)

\(86.21=C^2\)

\(9.28493403315=C\)

\(9.3=C\)

Answer:

A = L × W A = L × W A=L×W.

A = L × W A = L × W A=L×W.

P = 2 L + 2 W P = 2L + 2W P=2L+2W.

9514 1404 393

Answer:

  (c)  -3/4

Step-by-step explanation:

Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.

Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...

  -2 1/2 -(-1 3/4) = -5/2 +7/4

  = -10/4 +7/4 = -3/4

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

Answer:

C

Step-by-step explanation:

For each increase of one year of age, the number of events a person participated in decreases by 1.3. Option C is correct.

As there is only one projection on the x-axis and one projection on the y-axis for each point, scatter plots are graphs that depict individual points of data and are labeled with quantitative values on both coordinate axes. Scatter plots, which display data points on a horizontal and vertical axis, are used to demonstrate how much one variable influences another.

It is given that, the equation for the regression line is yˆ=−1.3x+45.8.

The scatterplot is drawn between the number of events and age which shows the age of event participants.

It is obtained that the number of events a person participated in reduces by 1.3 for every year of age increase.

Thus,option C is correct.

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Answer:

Step-by-step explanation:

he bout 6 red rose

Step-by-step explanation:

6

Eli bought 6 roses as 2/3 ×9=2×3 =6th

Answer:

No

Step-by-step explanation:

you cannot have two outputs for the same input

Answer:

Equation that represents the line passing through the point -3, -1 with a slope of 4 is

\(y= 4x+11\)

Step-by-step explanation:

Equation of line in point slope form is

\(y-y_1=m(x-x_1)\) -------(1)

Here

\(m=4 \ \ \ and \ \ \ (x_1, y_1) = (-3, -1)\)

Substituting values in equation (1)

\(y+1=4(x+3)\\ y= 4x+11\)

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer:

2nd one.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{6}}x+\cfrac{7}{6}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we can say that

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{5}}}\)

so we're really looking for the equation of a line with a slope of -6/5 and that passes through (-8 , 9)

\((\stackrel{x_1}{-8}~,~\stackrel{y_1}{9})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{6}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-8)})\implies y-9=-\cfrac{6}{5}(x+8) \\\\\\ y-9=-\cfrac{6}{5}x-\cfrac{48}{5}\implies y=-\cfrac{6}{5}x-\cfrac{48}{5}+9\implies y=-\cfrac{6}{5}x-\cfrac{3}{5}\)

Answer:

770,400

Step-by-step explanation:

770,400 seconds

Answer:

a. geometric series

b. r_n = 100 × (0.75)^n ft

c. 400

Step-by-step explanation:

a.

Start: 100 ft

After 1 hour: 75% of 100ft = 100 ft × 0.75

After 2 hours: 75% of 100ft × 0.75 = 100 ft × 0.75²

After 3 hours: 75% of 100 ft × 0.75² = 100 ft × 0.75³

Notice what is happening to the radius as the hours pass.

With each passing hour, the radius is 0.75 times the previous radius.

Since each new term is the previous term multiplied by a constant, 0.75, this is a geometric series.

b.

At each hour, multiply 100 ft by 0.75 raised to the number of the hour.

a_n = 100 × (0.75)^n ft

The nth term is 100 times 0.75 to the nth power.

c.

The sum of all the radii is the sum of a series that has 100 as its first term, and each subsequent term is 0.75 times the previous term.

r_n = 100(0.75)^n

Since the constant ratio has an absolute value less than 1, the series has a sum.

S = a_1/(1 - r)

S = sum of infinite series

a_1 = first term

r = constant ratio

S = 100/(1 - 0.75)

S = 100/0.25

S = 400

Answer:

It can't be made into a mixed number

Step-by-step explanation:

The final cost of the item after the 5% discount and 4% tax is 5.928 dollars.

We have,

To calculate the final cost after the discount and tax, follow these steps:

- Calculate the discount amount: 5% of 6 dollars.

= 0.05 X 6

= 0.30 dollars.

- Subtract the discount from the original price:

= 6 dollars - 0.30 dollars

= 5.70 dollars.

- Calculate the tax amount:

= 4% of 5.70 dollars

= 0.04 x 5.70

= 0.228 dollars.

- Add the tax to the discounted price:

= 5.70 dollars + 0.228 dollars

= 5.928 dollars.

Therefore,

The final cost of the item after the 5% discount and 4% tax is 5.928 dollars.

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Answer:

2a-12-16b

Step-by-step explanation:

\(4((\frac{a}{2} -3)-4b)=\)\(4((\frac{a-3(2)}{2} )-4b)\)\(=2(a-3(2))-4(4B)=2a-12-16b\)

Answer:

the second one thxxx for the points

To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.

To graph the solutions to the inequality k > 5 on a number line, follow these steps:

Draw a horizontal line and mark a point for the number 5 on the line.

-------------------|---|---|---|---|---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.

-------------------|---|---|---|---○---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.

-------------------|---|---|---|---○===================>

0 1 2 3 4 5 6 7 8 9 10

The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.

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Answer:

\(-1\frac{1}{2}\)

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

\(\frac{y^2-y^1}{x^2-x^1}}\)

To understand what the variables are, you can take this :

\((x^1,y^1)\)

\((x^2,y^2)\)

Substitute the points :

\((-1,4)\)

\((5,-5)\)

Now substitute it into the formula :

\(\frac{-5-4}{5-(-1)}\)

\(\frac{-3}{2}\)

\(-1\frac{1}{2}\)

Answer:

Step-by-step explanation:

find the slope m  by using the slope formula

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

Point1 = ( -1,4)  where it takes the form (x1,y1)

Point2 =(5, -5) where it takes the form (x2,y2)

notice the form is important

m = (-5 -4) / (5 - (-1))

m = -9  /  ( 5 +1 )

m = -9 / 6

m = - 3/2

Answer: x=10

Step-by-step explanation:

Find AD by making a 90 degree triangle with segments AB and BD

a=6 b= 8 c= c

\(a^{2}+b^{2} =c^{2}\)

\(6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c\)

AD is = to 10- AD is also the radius of the circle. since x is also the radius of the circle, it is also 10

Answer:

A. z = -2.4736

Step-by-step explanation:

n1 = 25

n2 = 25

x1 = 5500

x2 = 5850

Sd1= 550

Sd2 = 445

Null hypothesis

μ1 - μ2 = 0

Alternate

μ1 - μ2 != 0

Pooled variance = ((25-1)*550²)+((25-1)*445²)/25+25-2

= 7260000+4752600/48

= 250262.5

Pooled sd = √250262.5

= 500.26243

Test statistic

Z =

5500-5850+10/500.26243*√1/25+1/25

= -2.47357 approximately

-2.4736

The triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know,

The act of using mathematics to address issues in the actual world is known as mathematical thinking.

As the pentagon has 5 sides and 5 lines of symmetry.

The pentagon's lines of symmetry are apart 72(360/5) degrees apart.

Similarly in the triangle, the sum of the interior angle is 180 degrees

The triangle lines of symmetry are 60(180/3) degrees apart.

Thus, the triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.

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To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

I think the answer is $14 hope this helps!

Step-by-step explanation: