What is the probability that the song that was picked was one she liked or one she has not heard but did not enjoy?

The vertex of the graph of the parabola is at the point (-1, -6)

We know that for any parabola with a vertex at the point (h, k) and a leading coefficient a, can be written in vertex form as:

y = a*(x - h)^2 + k

In this case the parabola is:

f(x) = (-1)*(x + 1)^2 - 6

Comparing this with the general form, we can see that:

h = -1

k = -6

Then the vertex of the parabola is (-1, -6)

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Answer:

7.4

Step-by-step explanation:

Not completely sure because that equation is really hard to read. You might have put it in wrong.

Answer:

-95x + 91

Step-by-step explanation:

72/9 = 8

83 - 95x + 8

91 - 95x or -95x + 91

The function for the length when the width is given is l = 33 - w. The domain of the function is 0 < w < 33 and the graph of the function has been plotted

The total length of the roll = 66 feet

The perimeter of the rectangular paly area = 66

The perimeter of the rectangle = 2(l + w)

Then the equation will be

2(l + w) = 66

l + w = 66/2

l + w = 33

The function for length when the width is given

l = 33 - w

Therefore the domain of the function is 0 < w < 33

When w = 1

l = 33 - 1

l = 32

The first point is (1, 32)

When w = 32

l = 33 - 32

l = 1

The second point is (32, 1)

Draw the graph of the function

Hence, the function for the length when the width is given is l = 33 - w. The domain of the function is 0 < w < 33 and the graph of the function has been plotted

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The true solution for 2 ln e^ ln (5x) = 2 ln (15) is x = 3.

Given,

2 ln e^ ln (5x) = 2 ln (15)

Apply log rule;

logₐ (aᵇ) = b

ln (e^ln (5x)) = ln (5x)

2 ln (5x) = 2 ln (15)

Divide both sides by 2;

2 ln (5x) / 2 = 2 ln (15)/ 2

ln (5x) = ln (15)

For ln (5x) = ln (15), solve for 5x = 15;

That is,

5x = 15

Then,

x = 15/5

So,

x = 3

Check this by substituting it to 2 ln (5x) = 2 ln (15);

x = 3

2 ln (5 × 3) = 2 ln (15)

x = 3 makes this true.

Therefore,

The true solution for 2 ln e^ ln (5x) = 2 ln (15) is x = 3.

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Answer:

1440/17 degrees (approximately 84.7059 degrees)

19π/9 radians ---> or π * 19/9 radians

Step-by-step explanation:

The conversion factor for radians to degrees is 180/π

8π/17 * 180/π = 1440/17 degrees (approximately 84.7059 degrees)

The conversion factor for degrees to radians is π/180

380 * π/180 = 380π/180 = 19π/9 radians

The solution of the given inequality is y ≤ -3.

The given inequality is -

3y ≤ −9

We have to solve this given inequality.

Now, we have the inequality as -

3y ≤ −9

=> y ≤ -3

Thus, the solution of the given inequality is y ≤ -3.

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The measure of angle Y, m ∠Y, is 52.58°. The correct option is the last option 52.58°

From the question, we are to determine the measure of angle Y.

From the given information,

Angles X and Y are supplementary angles.

NOTE: Supplementary angles are angles that sum up to 180°

Thus,

m ∠X + m ∠Y = 180°

Also,

From the given information,

Angle X measures 127.42°

That is,

m ∠X = 127.42°

Therefore,

127.42° + m ∠Y = 180°

m ∠Y = 180° - 127.42°

m ∠Y = 52.58°

Hence, the measure of the angle is 52.58°

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The value the function A(12) is 2960.94

From the question, we have the following function definition that can be used in our computation:

A(t) = 710e⁰°¹¹⁹⁺

To calculate the function A(12), we set t to 12

i.e. calculate A(t) when t = 12

This equation becomes

A(12) = 710e⁰°¹¹⁹ˣ¹²

Evaluate the products

A(12) = 710e¹°⁴²⁸

Evaluate the exponents

A(12) = 2960.94

Hence, the solution is 2960.94

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Answer:

97.59

Step-by-step explanation:

975.90*0.10

97.59

Hope this Helps!!!

Answer:

h=24

Step-by-step explanation:

7=3+h/6

-3 -3

4=h/6

x6. x6

24=h

hopes this helps please mark brainliest

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

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The average of the number given is $4.84.

The average can be calculated as follows:

Given X

X =$4.25+$6.71+$3.24+$5.06+$4.94

X =$24.2

= X ÷ n

= $24.2 ÷ 5

= $4.84

Hence, the average is $4.84

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The coordinates of N are (5,-6)  so that segment MN is 3/7 of MP.

Given the coordinates of M is (-4,6) and the coordinates of P is (17,-22).

now we have to find the coordinates of N such that the MN : NP is 3:4 .

We will use the section formula:

The section formula states that:

[tex]{\displaystyle N=\left({\frac {mx_{2}+nx_{1}}{m+n}},{\frac {my_{2}+ny_{1}}{m+n}}\right)}[/tex]

Where the coordinates of the points are given and the ratio in which the points are divided is given.

Now we will substitute the values:

[tex]{\displaystyle N=\left({\frac {17\times 3+4\times -4}{3+4}},{\frac {3\times-22+4\times 6}{3+4}}\right)}[/tex]

Solving we get:

N=(5,-6)

The Section formula is used to determine the coordinates of things like the point that separates a line segment (internally or externally) into a particular ratio.

Both physics and mathematics regularly employ this formula. In mathematics, it is used to find the centroid and incenters of a triangle, but in physics, it is used to find the center of mass, equilibrium points, etc. The section formula is often used to find the midpoint of a line segment.

Therefore coordinates of N are (5,-6) so that MN is 3/7 of MP.

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Answer:

You can pour nine 7-ounce cups of tea (63 ounces) and be left with one ounce of tea.

Step-by-step explanation:

Dividing 64 by 7 and finding the remainder.

Answer: 18 square unit

Step-by-step explanation:

We can divide the shape into two pieces.

a triangle and a square.

The square is 2*6=12 square unit

and the triangle is 1/2*6*2=6 square unit

So if we sum this up we get the answer

answer = 6+12 = 18 square unit

The amount  that he invested in Fund B if the total profit from the two funds together was $2200 is $8,800.

Let x represent the amount invested in Fund B

Let 3x represent the  amount  invested in Fund A

Hence,

.07x + .05(3x) = 2200

.07x + .15x = 2200

.25x = 2200

Divide both side by .25x

x = 2200/.25

x = $8,800  (invested in Fund B)

Fund A:

3x = 3(8,800)

3x = $26,400 (Invested in Fund A)

Therefore $8800 was invested in Fund B.

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Interest will he pay in 10 years is $3375.

Given:

Bill is a freshman attending a 4-year college. He has been approved for a $5,000 with an APR of 6.75%.

He is not required to make any payment for 10 years since his payment will be deferred while his enroll in school.

1 year interest = 5000*6.75%

= 5000*6.75/100

= 50*6.75

= 50*675/100

= 1*675/2

= 337.5

10 years interest = 10 * 337.5

= 10 * 3375/10

= $3375.

Therefore Interest will he pay in 10 years is $3375.

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Answer:

14300

Step-by-step explanation:

this is the answer that I got I hope it works

Saving of Martina in taxes = $675

A flexible spending account (FSA) is a type of savings account, usually for healthcare expenses, that sets aside funds for later use. It is also known as a flexible spending arrangement, is one of a number of tax-advantaged financial accounts, resulting in payroll tax savings.

Given,

Wages of Martina = $68000

Tax rate = 25%

Amount to flexible savings = $2700

Then saving in taxes = $2700 × 25/100

                                   = $675

Hence, Martina saved $675 in taxes using FSA.

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The cost to rent each chair and each table is $2.75 and $6.50 respectively.

The total cost to rent 2 chairs and 3 tables is $25. This will be:

2c + 3t = 25

The total cost to rent 6 chairs and 5 tables is $49. This will be:

6c + 5t = 49

2c + 3t = 25

6c + 5t = 49

6 × (2c + 3t = 25)

2 × (6c + 5t = 49)

12c + 18t = 150

12c + 10t = 98

Subtract

8t = 52

Divide

t = 52/8

t = 6.5

Cost to rent table = $6.50

Since 2c + 3t = 25

2c + 3(6.5) = 25

2c + 19.5 = 25

Collect like terms

2c = 25 - 19.5

2c = 5.5

c = 5.5/2

c = 2.75

Cost to rent chair = $2.75.

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Answer:

35 cm

Step-by-step explanation:

Answer:

21.17

Step-by-step explanation:

If you were to round each number to the nearest whole number you would get :

21.17 ⇒ 21

2.117 ⇒ 2

Now the question is , which is bigger 21 or 2?

Now that is a very straightforward answer (21 in case your still lost)

Hope this helped and have a good day

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

to find the slope of linear line, you need two points.  It does not matter which pints you use.  I am going to use (0,5) and (3,3)  The slope is the change in y over the change is x.  Our y values are 3 and 5.  Our x values are 3 and 0

[tex]\frac{3-5}{3-0}[/tex] = [tex]\frac{-2}{3}[/tex]

The cost of repainting the swimming pool is 15,600 pounds

The swimming pool forms a three-dimensional object. Three-dimensional space is a geometric setting in which three values are required to determine the position of an element or its area.

The area of the object is the space the swimming pool occupies

How to find the area of the swimming pool?

Mathematically represented as:  A =lbh metres square

A=40x20x2

A=1200m²

The cost of im² is 13 pounds

Therefore, multiplying the area by cost of 1m per square

Cost=1200x13

Cost=15,600 pounds

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Jillian made the exact amount was $1598 in 3 weeks.

Each t-shirt costs $15.

Each Large purse goes for $59

And the cost of small purses is $32 each.

In the first week, she sold 4 t-shirts and 3 large purses, and 9 small ones.

Her earning in the first week = 4 × $15 + 3 × $59 + 9 × $32 = $525

In the second week, she sold another 5 t-shirts, 7 large bags, and 4 small ones.

Her earning in the second week = 5 × $15 + 7 × $59 + 4 × $32 = $616

Last week she sold 8 t-Shirts and also sold 3 large purses and 5 small purses.

Her earning in the Last week = 8 × $15 + 3 × $59 + 5 × $32 = $457

The exact amount she made in 3 weeks = $525 + $616 + $457 = $1598

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The function values;

Given,

The function; f(x) = 9 × 4ˣ

The value of the function is f(x). The slope of the line is m. b is either the function's value at x=0 or the position at which the line in the coordinate plane crosses the y-axis. x is the x-value. coordinate's

Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element.

We have to find the following function values;

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Both end points are represented by closed circles, it means both points are included.

The graph is restricted between the end points from left to right and between the end point and the highest point from bottom to top.

Domain, the set of possible x- coordinates:

Range, the set of possible y- coordinates:

Both end points are represented by arrows directed to left and right, it means both ends are indefinite but lines are parallel to the x-axis.

It makes x-values infinite but y-values restricted between the two lines.

Domain, the set of possible x- coordinates:

Range, the set of possible y- coordinates:

Answer:

1.  Domain:  [-2, 6]

   Range:  [-3, 7]

2. Domain:  (-∞, ∞)

    Range:  [1, 5]

Step-by-step explanation:

Definitions

Note:  Assume that each square on the given graphs is 1 unit.

The domain of the function is restricted since the curve has two distince endpoints.  As each endpoint is marked by a closed circle, the x-value of the endpoints is included in the domain.

The function has a maximum point at (-1, 7) and a minimum point at (6, -3).

Therefore, the range of the function is restricted.

As there are arrows at both endpoints of the function, and the function is continuous between the arrowheads, the domain is unrestricted.

The maximum y-value is y = 5.  When x < 1, the line continues indefinitely at y = 5.

The minimum value is y = 1.  When x > 1, the line continues indefinitely at y = 1.

Therefore, the range of the function is restricted.

Answer: Many even numbers are divisible by ten. A simple answer to that is 20. 30 is also, and so is 40. Any number going up by 10 will be divisible by 10 and 5. 10 is also divisible by 10 and 5.

Answer:

20%

Step-by-step explanation:

2460-1968=492

492/2460=0.20

Check answer2460 x 0.20 = 492

An explicit formula for the arithmetic sequence is aₙ = 10 - 20(n - 1).

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ = a₁ + (n - 1)d

Where:

From the information provided, we have the following parameters:

First term, a₁ = 10

Second term, a₂ = -10

Next, we would determine the common difference as follows:

Common difference, d = a₂ - a₁

Common difference, d = -10 - 10

Common difference, d = -20

Substituting the parameters into the mathematical expression, we have;

aₙ = 10 + (n - 1)(-20)

aₙ = 10 - 20(n - 1).

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