What is the sum of the arithmetic series 16∑t-1 (6t-4)

A. 1,504
B. 376
C. 752
D. 92

Answer:

75%

Step-by-step explanation:

To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.

According to the information provided:

55% of the team does not like to run.

Of those who do not like to run, 70% enjoy cycling.

Of those who enjoy running, 80% also enjoy cycling.

To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.

Percentage of athletes who do not like to run and enjoy cycling:

= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)

= 55% * 70% = 38.5%

Percentage of athletes who enjoy running and enjoy cycling:

= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)

= (100% - 55%) * 80% = 45% * 80% = 36%

Total percentage of athletes who enjoy cycling:

= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling

= 38.5% + 36% = 74.5%

Therefore, the correct answer is:

74.5%

Answer:

1 hr = $60.20

2 hrs. = $120.40

3 hrs. = $180.40

4 hrs. = $240.80

5 hrs. = $301.00

Step-by-step explanation:

Multiply 60.20 by the number of hours to get your answers.

Ex: $60.20 (amount every hour) x 2 (number of hours) = $120.40

The solution is, B , is the correct answer is 10.0923.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

the equation is, 2.02 + 8.102 - 0.0297

now, we have to solve it, by addition & subtraction.

we know,

First

2.02+8.102=10.122

Then 10.122-0.0297=10.0923

i.e. we get,

2.02 + 8.102 - 0.0297

=10.122-0.0297

=10.0923.

Hence, The solution is, B , is the correct answer is 10.0923.

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Answer:

AB = 12

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Don't let fractions fool you.

of a tank in  an hour is equal to:

1/12 of a tank in 20 minutes.

Thus we know in an hour, an oil company can fill 3/12 of a tank (60 minutes in an hour).

3 x 4 = 12, and 12/12 = 1(a whole tank), so we multiply 1 (hour) by 4.

Our answer is that it takes 4 hours to fill a tank.

Answer:

it's  1/3 ⋅ 12 hours

or

3 ⋅ 12 hours

Step-by-step explanation:

Answer:

Angle 1= 106° and Angle 2=74°

Step-by-step explanation:

Angle 2 is 74° because lines a and b are parallel, and since there is a transversal, the 74° angle and angle 2 are corresponding angles.

Angles 1 and angle 2 are supplementary, so you would just do 180° - 74° and you get 106°

Step-by-step explanation:

What is the equation of the parabola that has a vertex at

(

−

4

,

2

)

and passes through point

(

−

7

,

−

34

)

?

To solve this you need to use the vertex form of the equation of a parabola which is

y

=

a

(

x

−

h

)

2

+

k

, where

(

h

,

k

)

are the coordinates of the vertex.

Explanation:

The first step is to define your variables

h

=

−

4

k

=

2

And we know one set of points on the graph, so

x

=

−

7

y

=

−

34

Next solve the formula for

a

y

=

a

(

x

−

h

)

2

+

k

−

34

=

a

(

−

7

+

4

)

2

+

2

−

34

=

a

(

−

3

)

2

+

2

−

34

=

9

a

+

2

−

36

=

9

a

−

4

=

a

To create a general formula for the parabola you would put in the values for

a

,

h

, and

k

and then simplify.

y

=

a

(

x

−

h

)

2

+

k

y

=

−

4

(

x

+

4

)

2

+

2

y

=

−

4

(

x

2

+

8

x

+

16

)

+

2

y

=

−

4

x

2

−

32

x

−

64

+

2

So the equation of a parabola that has a vertex at

(

−

4

,

2

)

and passes through point

(

−

7

,

−

34

)

is:

y

=

−

4

x

2

−

32

x

−

62

The interquartile range of the data-set is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.

For this problem, the ordered data-set is given by:

18, 18, 18, 20, 21, 22, 23, 23, 24, 24.

There are 10 elements, hence:

Then the IQR is:

Q3 - Q1 = 23.5 - 18 = 5.5.

The IQR is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.

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Check the picture below.

what if x = 2?

\(V=(2)[10-2(2)][12-2(2)]\implies V=2(6)(8)\implies V=96\)

Answer:

It is not true. 19 - 10 = 9.

:) Hope this helps

(a) Verifying that y(x) = (x - c)^2 satisfies the differential equation y' = 2y:

To verify that the function y(x) = (x - c)^2 satisfies the differential equation y' = 2y, we can find the derivative y' and substitute it back into the equation:

y' = d/dx [(x - c)^2] = 2(x - c)

So, y' = 2y if and only if 2(x - c) = 2y, which can be simplified to x - c = y.

Therefore, y(x) = (x - c)^2 satisfies the differential equation y' = 2y for all x, including x = c.

(b) Values of b for which the initial value problem y' = 2/y, y(0) = b has no solution or a unique solution:

(i) No solution: If b = 0, the initial value y(0) = 0 and the denominator of the right-hand side of the differential equation y' = 2/y would be 0, making the equation undefined at that point. Therefore, the initial value problem y' = 2/y, y(0) = 0 has no solution.

(ii) Unique solution defined for all x: For all other values of b (b ≠ 0), the initial value problem y' = 2/y, y(0) = b has a unique solution that can be found using standard methods of solving initial value problems. This solution will be defined for all x.

The figure illustrating the fact that the initial value problem y' = 2/7, y(0) = 0 has infinitely many different solutions would show a family of curves that are all solutions to the differential equation y' = 2/7, with different starting values y(0) leading to different curves. This demonstrates that there are infinitely many different solutions to the initial value problem.

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Answer: It's a 80% increase

Step-by-step explanation:

Answer:

a.) not true

b.) true

c.) true

Step-by-step explanation:

Answer:

k = 15/4

Step-by-step explanation:

Slope of a line = -a/b

slope of the first line = -3/2k

slope of the second line = -2/5

the slope of two parallel lines are congruent

-3/2k = -2/5

-15 = -4K

k = 15/4

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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The location of L″ is (-5, 0).

To find the location of L″, we first need to apply the first translation rule to the coordinates of trapezoid JKLM:

J': (x, y) → (x + 3, y - 3) => J'(-2+3, 1-3) = J(1, -2)

K': (x, y) → (x + 3, y - 3) => K'(1+3, 1-3) = K(4, -2)

L': (x, y) → (x + 3, y - 3) => L'(3+3, -2-3) = L(6, -5)

M': (x, y) → (x + 3, y - 3) => M'(-4+3, 2-3) = M(-1, -1)

Now, we need to apply the second translation rule to the coordinates of J', K', L', and M':

J'': (x, y) → (x - 1, y + 1) => J''(1-1, -2+1) = J''(0, -1)

K'': (x, y) → (x - 1, y + 1) => K''(4-1, -2+1) = K''(3, -1)

L'': (x, y) → (x - 1, y + 1) => L''(6-1, -5+1) = L''(5, -4)

M'': (x, y) → (x - 1, y + 1) => M''(-1-1, -1+1) = M''(-2, 0)

Therefore, the location of L″ is (-5, 0).

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Answer:

(5,-4)

Step-by-step explanation:

Answer:

Use Photo Math!!! It will help you and explain everything

Answer:

x³ + x² - 2x -2

Step-by-step explanation:

Step-by-step explanation:

7.2

5

24

2345

6303

-3

2467.2

5

24

2345

6303

-3

246

The linear function is given by table B and the equation y = ( 1/2 )x + 3.2

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

Let the x values be x = { 0 , 2 , 4 , 6 , 8 }

Let the y values be y = { 3.2 , 4.2 , 5.2 , 6.2 , 7.2 }

Now , the equation of line is y - y₁ = m ( x - x₁ )

where m is the slope

m = ( 4.2 - 3.2 ) / ( 2 - 0 )

m = 1/2

On simplifying , we get

y - 3.2 = ( 1/2 ) ( x - 0 )

Adding 3.2 on both sides , we get

y = ( 1/2 )x + 3.2

Hence , the linear function is y = ( 1/2 )x + 3.2

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Answer:

you got this Playa I believe in you

Answer:   the first one 8.2   the second one  49.2

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5 x 3 = 15  and 5 x H = 45

45 / 5 = 9

Answer:

12

Step-by-step explanation:

10x - 20 + 6x + 8 = 180

Supplementary angles

Answer:

x = 12

Step-by-step explanation:

The two given angles create a straight line (Definition of Straight Line). This means that:

\((10x - 20) + (6x + 8) = 180\)

First, combine like terms. Like terms are terms that share the same amount of the same variables:

\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 12 to both sides of the equation:

\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)

Next, divide 16 from both sides of the equation:

\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)

12 is your answer.

~

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Answer:

The perimeter of a circle is calculated with 2πr

The r stands for radius. The radius is half of the diameter.

So r=2.25

Plug it in 2π(2.25)

It was simplify to 4.5π

Which would simplify down to 14.14 miles rounding to the nearest hundredth.

Step-by-step explanation:

to find f(5)   in f(x) , just put in '5' where 'x' is in the equation

f(5) = 3 (5) + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Let's evaluate the function for f(5)

Insert 5 everywhere x appears:

Therefore f(5) = 17

The solution of given system of equations is (1/5, 6).

What is system of equation?

A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations because they graph as straight lines.

Given equations : 5x+y=7

                             20x+2=y

We can solve it by using substitution method:

Now, we have 5x+y=7

it can be written as,

         y = 7 - 5x .... equation 1

Similarly, we have 20x+2=y

can be written as,

           y = 20x+2 ..... equation 2

Subtracting equation 1 from equation 2

we get,  20x+2 - ( 7 - 5x ) = 0

             20x + 5x + 2 - 7 = 0

             25x = 5

               x = 1/5

Putting x=1/5 in equation 1,

we get, y = 20 × 1/5 + 2

               = 4 +2

               = 6

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Answer:

\(y(t)=52sin(3.3t+\pi/2)+56\)

Step-by-step explanation:

We are given that

Height of crest, h=108 feet

Time for one cycle, T=1.9 s

We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.

We are given

\(y=Asin(\omega t-\phi)+B\)

Amplitude,\(A=\frac{108-4}{2}=52 feet\)

\(B=A+4=52+4=56 feet\)

\(\omega=\frac{2\pi}{T}\)

Using the formula

\(\omega=\frac{2\pi}{1.9}=3.3/s\)

We assume,

Horizontal shift \(\phi=-\frac{\pi}{2}\)

Substitute the values

\(y(t)=52sin(3.3t+\pi/2)+56\)

Hence, the  sinusoidal function  that models the motion of the coaster train during this run starting at the top of a hill is given by

\(y(t)=52sin(3.3t+\pi/2)+56\)

The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-

Y = 2x

Put y = 0.5

0.5 = 2 x 0.5 = 1

As we put y=0.5 we get the value of x = 1 as shown in the graph.

Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

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Answer:

(-1,4)

Step-by-step explanation:

to find out we just fill in the values to see if it’s true

(x,f(x))

4=-1^2+3

4=1+3

4=4

True

-4=-1^2+3

-4=1+3

-4=4

Not true

-4=1^2+3

-4=1+3

-4=4

Not true

-1=-4^2+3

-1=16+3

-1=19

Not true

Hopes this helps please mark brainliest

The image is reflected over the y-axis. Then the correct option is B.

Given that:

Point of the polygon VWXYZ, W(2, 4)

Point of the polygon V'W'X'Y'Z', W'(-2, 4)

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The point W' can be obtained by reflecting the shape across the y-axis.

Thus, the correct option is B.

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The missing diagram is given below.