What is the sum of infinity sigma n = 1 2 (1.5)^n-1

Answer:

F1(x) = 4x-9 Thats the answer

Answer:

C features a slope of +4 and a y-intercept of +2

Step-by-step explanation:

Only the middle two answers feature a slope of +4, so eliminate answers A and D.  Answer C features a slope of +4 and a y-intercept of +2

The equation of a line in slope-intercept form for a line with slope 4 and y-intercept at (0, 2) is C. y = 4x + 2.

In the slope-intercept form of a linear equation, y = mx + b, 'm' represents the slope and 'b' represents the y-intercept. If we substitute the given values into this equation, with m = 4 (the slope) and b = 2 (the y-coordinate of the y-intercept), we get y = 4x + 2. So, the correct answer is C. y = 4x + 2.

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Answer:

well im not sure but that's what i got

Step-by-step explanation:

(20)(12)(10)=2400

2400/4= 800

The volume of the given rectangular prism is 2400 cubic inches.

Given that, a rectangular prism dimensions are length = 20 inches, width = 12 inches and height = 10 inches.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

Volume of a rectangular prism = Area of a base × Height.

Here, Area of a base = length × width

= 20 × 12

= 240 square inches

So, volume = 240 × 10

= 2400 cubic inches

Therefore, the volume of the given rectangular prism is 2400 cubic inches.

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Add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.

Important information:

We know that,

[tex](x+y)^2=x^2+2xy+y^2[/tex]

[tex](x+y)^2=a^2+(2y)a+\left(\dfrac{2y}{2}\right)^2[/tex]

It means, we need to add the square of half of the coefficient of x in [tex]x^2+bx[/tex] to make it perfect square, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex].

[tex]x^2+bx+\left(\dfrac{b}{2}\right)^2=\left(x+\dfrac{b}{2}\right)^2[/tex]

Therefore, add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.

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To complete the square for an expression [tex]x^2+bx[/tex] you divide the coefficient of 'x' by 2, square it, and add and subtract that within the square, which can then be factored to a perfect square trinomial.

Completing the square for an expression of the form [tex]x^2+bx[/tex] involves a process to rewrite the quadratic expression into a form that can be factored as a perfect square trinomial. Here are the steps to do so:

In other words, x^2+bx can be rewritten as [tex][x+(b/2)]^2 - (b/2)^2[/tex]. Here, [tex][x+(b/2)]^2[/tex] is the perfect square trinomial.

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Answer:

A&B

Step-by-step explanation:

3q + 2p is our correct answer.

Given,

q + p + q + p + q

We need to find the final expression.

Since the options are not given here we will assume the answers.

An expression is a sentence with more than one numbers or variables and at least one math operation.

We have,

q + p + q + p + q

There are 3 q and 2 q

Now add the like terms

3q + 2p

Thus the expression we got is 3q + 2p.

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Answer:

x = 2

Step-by-step explanation:

5(x + 1) = 4x + 7

5x + 5 = 4x + 7

x + 5 = 7

x = 2

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

5(x+1)=4x+7

Step 1: Simplify both sides of the equation.

5(x+1)=4x+7

(5)(x)+(5)(1)=4x+7(Distribute)

5x+5=4x+7

Step 2: Subtract 4x from both sides.

5x+5−4x=4x+7−4x

x+5=7

Step 3: Subtract 5 from both sides.

x+5−5=7−5

x=2

Answer:

π

Step-by-step explanation:

pi

The symbol used to represent the ratio of the circumference to the diameter of a circle is 'pi' or π

Circumference of a circle is given as : 2πr

Diameter of a circle is double the radius of the circle

Thus it is given as '2r'

where 'r' is the radius of the circle

Taking the ratio of both:

Ratio = 2πr/2r = π

Thus ratio comes out to be 'π'

Today: 1 cent.

Since there are 30 days which you double, multiply it by [tex]2^{30} .[/tex]

You get ABOUT 1 billion, or 1,000,000,000

Convert that to dollars (divide by 100), and you get...

Answer:

A Penny Doubled Everyday. Quite a big difference once you look at it as you would be getting over 5 million dollars with the penny doubled everyday for 30 days route.

Step-by-step explanation:

Answer:

(x-10)²+(y+9)²= 324.

Step-by-step explanation:

For this question, you will need to substitute these values into the equation of a circle:

(x-h)²+(y-k)²= r²

'h and k' represent the center points, and 'r' represents the radius.

This will result in:

(x-10)²+(y+9)²=324.

Answer:

Any number with the 9 in the hundred thousands place for example, 905,556 or 956,214

Step-by-step explanation:

Answer:

Symmetric

Step-by-step explanation:

The data is spread out symmetrically. It isn't uniform because the values aren't around each others values. It isn't skewed because the data isn't 'closer' to one side.

Answer:

symmetric

Step-by-step explanation:

if you put a line down the middle you’ll notice both sides are symmetric, kind of like looking into a mirror

The required probability that the marble is not yellow and not blue is 7/12. Option C is correct.

Given that,
A marble is drawn at random from a bag containing 2 blue marbles, 3 yellow marbles, and 7 orange marbles.

Probability can be defined as the ratio of favorable events to the total number of outcomes.

Here,

blue = 2
yellow = 3
orange = 7
The probability that the marble is not yellow and not blue,
= 1 - 2/12 - 3/12
= [12 - 2 - 3] / 12
= 7/12

Thus, the required probability that the marble is not yellow and not blue is 7/12. Option C is correct.

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Answer:

250 feet

Step-by-step explanation:

Vertex: (250,300)

Minimum height is 300 when the horizontal distance is 250

Step-by-step explanation:

Step 1:  Find the smallest height

If you look at the graph, you can tell that at 250 feet, the height in feet is the lowest and it is at 250.  Therefore, the vertex is also (250, 250).  But, we are just looking for the x-value which will be 250.

Answer:  Option A, 250 feet... you were correct :)  Good Job

Null Hypothesis (H0): p1 - p2 = 0. Alternative Hypothesis (H1): p1 - p2 ≠ 0. Test Statistic: Z-score. 90% confidence interval: (-0.191, 0.291). Conclusion: Fail to reject H0, indicating no significant difference in population proportions.

1) Null Hypothesis (H0): There is no difference between the population proportions (p1 - p2 = 0).

  Alternative Hypothesis (H1): There is a difference between the population proportions (p1 - p2 ≠ 0).

2) Test Statistic: Z-score for two independent proportions.

3) P-value or Critical Value: Z-value for a 90% confidence interval.

4) Concluding Statement: With a 90% confidence interval, we find the difference in population proportions to be between -0.191 and 0.291. Thus, we fail to reject the null hypothesis.

The complete question is:

Construct the indicated confidence interval for the difference between population proportions Assume that the samples are independent and that they have been randomly selected. Be sure to provide the (1) Null & Alternative Hypotheses, (2) Test Statistic, (3) P-value (or critical value), and (4) concluding statements. x1 = 15, n1 = 50 and x2 = 23, n2 = 60; Construct a 90% confidence interval for the difference between population proportions p1 - p2.

Answer:

the answer was A m the amount of money in Michael's account

Step-by-step explanation:

Answer: a, the amount of money in Michaels bank account

Step-by-step explanation:

Answer:

Isaiah included 50 songs in all of

his playlists.

Step-by-step explanation:

Each playlist has 10 songs. So if you have 2 playlists then you have 10 songs for the first playlist and 10 songs for other playlist.

In this question there are 5 playlists, so 10 + 10 + 10 + 10 + 10 =50 songs.

In mathematics you can multiply to get the answer quickly:

5 * 10 = 50

That is a lot faster and you still get the same result!

The correct answer is C) 105°.

The sum of the angles in a triangle is 180 degrees. Since we know the measures of two of the angles, we can find the measure of the third angle by subtracting the sum of the first two angles from 180 degrees.

In this case, m∠X + m∠Y = 55° + 75° = 130°.

Therefore, m∠W = 180° - 130° = 50°.

However, the diagram shows angle W as an exterior angle of the triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. In this case, the remote interior angles are ∠X and ∠Y.

Therefore, m∠W = m∠X + m∠Y = 55° + 75° = 130°.

Answer Choice Explanation:

A) 20° is too small.

B) 35° is too small.

C) 105° is correct.

D) 130° is too large.

Therefore, the correct answer is C) 105°.

Answer:

D

Step-by-step explanation:

Because of the fact that she opened a savings account and deposited $43 you are going to add that to 16x. Why? Because x represents the number of weeks she deposits $16 in her savings account. The y represents the money in her bank account, which is what we are trying to find.

I hope I've helped! Please leave a Thanks and Vote/Rate.

The correct equation representing the amount of money in Toniqua's bank account after x weeks is y = 43 + 16x. It combines the initial deposit of $43 with the $16 added each week multiplied by the number of weeks.

The question asks for an equation that represents the amount of money in Toniqua's bank account, y, after x weeks. Considering that Toniqua starts with a deposit of $43 and then adds $16 each week, the total amount of money after x weeks would be the initial deposit plus the weekly deposit amount times the number of weeks. Therefore, the correct equation would be:

y = 43 + 16x

The initial deposit is a one-time amount, so it does not multiply by the number of weeks, hence the 43 is not multiplied by x. However, the weekly deposit of $16 does multiply by the number of weeks, which gives us the 16x term in the linear equation.

Answer:

The average force applied to the ball is 84N

Step-by-step explanation:

This problem bothers on the impulse of a force

Given data

Mass of ball m= 0.28kg

Initial speed u= 0m/s

Final speed v= 6m/s

Time of impact t= 0.02s

We know that the impulse of a force

Ft= mv-mu

Hence the force is

F= (mv-mu)/t

F=m(v-u)/t

F= 0.28(6-0)0.02

F= 1.68/0.02

F= 84N

Final answer:

To calculate how much lower Ashlee's monthly payment will be if she purchases the points, we first need to calculate her monthly payment with and without the points. Ashlee will make a 20% down payment on the $125,000 home. By purchasing the points, Ashlee will lower her interest rate by 2%. The difference in monthly payments is approximately $115.44.

Explanation:

To calculate how much lower Ashlee's monthly payment will be if she purchases the points, we first need to calculate her monthly payment with and without the points.

1. Calculate the loan amount: Ashlee will make a 20% down payment on the $125,000 home, which is $25,000. So, the loan amount will be $125,000 - $25,000 = $100,000.

2. Calculate the monthly payment without the points: Using the loan amount of $100,000, the interest rate of 4.75%, and the loan term of 30 years, we can use a mortgage calculator to find the monthly payment. The monthly payment without the points is approximately $522.62.

3. Calculate the monthly payment with the points: Ashlee is considering purchasing 2 points. Each point is equal to 1% of the loan amount, so 2 points would be 2% of $100,000, which is $2,000. By purchasing the points, Ashlee will lower her interest rate by 2% to 4.75% - 2% = 2.75%. Using the loan amount of $100,000, the new interest rate of 2.75%, and the loan term of 30 years, we can again use a mortgage calculator to find the monthly payment. The monthly payment with the points is approximately $407.18.

4. Calculate the difference in monthly payments: The difference in monthly payments is $522.62 - $407.18 = $115.44. Therefore, Ashlee's monthly payment will be approximately $115.44 lower if she purchases the points.

Ashlee's monthly payment would be approximately $50.44 lower if she purchases 2 points.

1. Calculate the loan amount after the down payment:

Down payment amount = 20% * $125,000 = $25,000

Loan amount = $125,000 - $25,000 = $100,000

2. Calculate the monthly payment without buying points:

Convert the interest rate to a decimal: 4.75% = 0.0475

Number of months in the loan term: 30 years * 12 months/year = 360 months

Use a mortgage calculator or the following formula to calculate the monthly payment:

Monthly payment = (Loan amount * Interest rate * (1 + Interest rate)^Number of months) / ((1 + Interest rate)^Number of months - 1)

3. Calculate the cost of buying 2 points:

Each point typically costs 1% of the loan amount.

Cost of 2 points = 2 points * 1% * $100,000 = $2,000

4. Calculate the reduced interest rate with points:

Each point usually reduces the interest rate by 0.25%.

Reduced interest rate = Original interest rate - Points reduction * Number of points

Reduced interest rate = 0.0475 - 0.0025 * 2 = 0.0425

5. Calculate the monthly payment with points:

Use the same formula as in step 2 but with the reduced interest rate.

6. Calculate the difference in monthly payments:

Difference = Monthly payment without points - Monthly payment with points

Example calculation:

Let's assume the monthly payment without points is $522.62 (calculated using a mortgage calculator) and the monthly payment with points is $472.18.

Difference in monthly payment = $522.62 - $472.18 = $50.44

Therefore, Ashlee's monthly payment would be approximately $50.44 lower if she purchases 2 points.

Answer: b 39,858,075

Answer:

Answer: b 39,858,075

Step-by-step explanation:

Answer:

36+15+15+15+15

Step-by-step explanation:

the base is 36, 6x6, and then you do the triangles, 6x5(1/2) which is 15, but there are 4 of them.

Answer:

its A) 36+15+15+15+15

Step-by-step explanation:

Answer:

c) 32.1y +3.1+2.4y-8.2=34.5y-5.1

Answer:

The area is 126 square centimeters

Step-by-step explanation:

42 x 3 = 126

Answer:

True

Step-by-step explanation:

It's a math test so it should be math questions not spelling.

To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, divide both sides of the equation by tan(x) and then take the inverse tangent of both sides. The solutions for x are 30°, 210°, 390°, ...

To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, we can start by rearranging the equation. Divide both sides of the equation by tan(x) to get:

3tan(x) = sqrt3

Next, divide both sides of the equation by 3 to get:

tan(x) = sqrt3/3

Now, we need to find the values of x where the tangent function equals sqrt3/3. We can use the inverse tangent function to find the angles. Taking the inverse tangent of both sides gives:

x = arctan(sqrt3/3)

Then, we can simplify the expression:

x = 30° + n * 180°

where n is an integer. Therefore, the solutions for x are 30°, 210°, 390°, ...

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Step-by-step explanation:

well we know our fraction is 55/75

then we divide to get 0.73

multiply by 100 and your answer is 73%

Option (D) Hitting a tennis ball over a net​ describes the rigid motion transformation option (D) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a statement:

Which of the following describes a rigid motion transformation?

As we know, geometric transformation also known as rigid transformation is a change in geometry.

Thus, option (D) Hitting a tennis ball over a net​ describes the rigid motion transformation option (D) is correct.

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Answer: Account A pays more interest. It pays $10 more.

Step-by-step explanation:

The following information can be derived from the question:

Principal= $1000

Account A rate= 5%

Time = 1 year

Interest= (Principal × Rate × Time)/100

= ($1000 × 5 × 1)/100

= $5000/100

= $50

Account A pays interest of $50

Principal= $1000

Account B rate= 4%

Time = 1 year

Interest= (Principal × Rate × Time)/100

= ($1000 × 4× 1)/100

= $4000/100

= $40

Account B pays interest of $40

From the solutions provided, Account A pays more interest. This is calculated as: $50 - $40 = $10