What is the sum of the first 32 terms in the arithmetic
series 3 + 10 + 17 + …?

Answers

Answer 1

Answer:

30

Step-by-step explanation:


Related Questions

how to solve improper fractions to mixed numbers with example?

Answers

Answer: If it was the other way around I would have helped you  

Step-by-step explanation:

e.g.    

The opposite of −358 is on the
(same or opposite)
side of zero on a number line as −358. The opposite of 429is on the
(same or opposite)
side of zero on a number line as 429.

Answers

the opposite of -358 is on the opposite side

the opposite of 429 is on the opposite side

Answer:

A: Opposite

B: Same

Step-by-step explanation:

I'm not really sure, please tell me if I'm incorrect

PLEASE HELP QUESTION IN PICTURE 15 POINTS

Answers

V (7,9) would make PRTV a square

The total bill was 56.25. how much would the bill be if 7 % tax was added

Answers

I used a calculator to solve and it came up with $60.1875


Find the slope of the line whose equation is 2x + y = 5.

Answers

Answer:

Slope is -2x

Step-by-step explanation:

2x + y =5

2x-2x +y= 5 -2x

y= 5 -2x

so y= -2x+5

and the slope is -2x so the answer is -2x

if f(x)=4(3x-5), find f^-1(x)

Answers

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

help me with this pls

Answers

Answer:

Johnathan started out with 17 videogames

25-8=17

how many solutions does the quadratic function f(x)=-x²

Answers

Answer: 4

Step-by-step explanation:

 Slope = -2.000/2.000 = -1.000

 x-intercept = 0/1 = 0.00000

 f-intercept = 0/1 = 0.00000

x = 0

Twenty is what percent of 25?

Answers

Answer:

80%

Step-by-step explanation:

20:25*100 =

(20*100):25 =

2000:25 = 80

Now we have: 20 is what percent of 25 = 80

Question: 20 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=25$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=25(1)$.

$x\%=20(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{25}{20}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{20}{25}$

$\Rightarrow x=80\%$

Therefore, $20$ is $80\%$ of $25$.

Hopes This Helps :)

This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V

Answers

Answer:

x = 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14

Using Pythagoras' identity in the right triangle

x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )

x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]

y varies directly as x . when x=3 , then y=12 . find y when x=20.

Answers

Answer:

Congress. would equal 80 due to x being worth 1/4 of y's total.

Solve for X please and thank you

Answers

Answer:

x = 48

Step-by-step explanation:

Given a secant and a tangent from an external point to the circle, then

the product of the external part and the entire secant is equal to the square of the measure of the tangent , that is

2(2 + x) = 10² = 100 ( divide both sides by 2 )

2 + x = 50 ( subtract 2 from both sides )

x = 48

Find x, y, and z. Drag and drop the numbers into the boxes to show the value of each variable.

Answers

Answer:

x=186.68

y=140

z=233.34

Step-by-step explanation:

easy method to solve since you have the answers to pick from

first triangle. we have two sides 175 and 105 and we know that 175 have to be the largest number, its the hypotenuse. which means

y=140,

cannot be 233 or 186 because both greater than 175

now next triangle. x-y-z, we already know "y" and "z" needs to be the largest number so it has to be

z= 233.34 and finally

x=186. 67

The scatter plot shows the number of minutes since several celebrities have posted a photo compared to the number of likes the photo has received. If a celebrity posted a photo 6.5 minutes ago, which is the best prediction of the number of likes it has received?

Answers

Answer:

is there a photo of a scatter plot?

Step-by-step explanation:

what inequality does the number line graph represent

Answers

Answer: what number line

Step-by-step explanation:

find the measure of angle A

Answers

Answer:

60° is your answer

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

180 - 70 = 110

110 = 12x + 2 + 15x

108 = 27x

108 : 27 = 4°

4 * 15 = 60° is your answer

check

15 * 4 + 12 * 4 + 2 + 70 = 180

60 + 48 + 72 = 180

the answer is good

A large container in the shape of a rectangular solid must have a volume of 480 m3. The bottom of the container costs $5/m2 to construct whereas the top and sides cost $3/ m2 to construct. Use Lagrange multipliers to find the dimensions of the container of this size that has the minimum cost

Answers

The dimension of the container of this size that has the minimum cost is [tex]x = \sqrt[3]{360}[/tex], [tex]y = \sqrt[3]{360}[/tex] and [tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]

The given parameters are:

Volume = 480m^3Cost: $5 per square meter for the bottom, and $3 per square meter for the sides.

Assume the dimensions of the container are: x, y and z.

The volume (V) would be:

[tex]V = xyz[/tex]

Substitute 480 for V

[tex]xyz =480[/tex]

And the objective cost function would be:

[tex]C =8xy + 6xz + 6yz[/tex]

Differentiate the cost function using Lagrange multipliers

[tex]8x + 6z = \lambda xz[/tex]

[tex]8y + 6z = \lambda yz[/tex]

[tex]6x + 6y = \lambda xy[/tex]

Divide equation (1) by (2)

[tex]\frac{8x + 6z}{8y + 6z} = \frac{\lambda xz}{\lambda yz}[/tex]

[tex]\frac{8x + 6z}{8y + 6z} = \frac{x}{y}[/tex]

Factor out 2

[tex]\frac{4x + 3z}{4y + 3z} = \frac{x}{y}[/tex]

Cross multiply

[tex]4xy + 3yz = 4xy + 3xz[/tex]

Evaluate the like terms

[tex]3yz = 3xz[/tex]

Divide both sides by 3z

[tex]y = x[/tex]

Divide the first equation by the third

[tex]\frac{8y + 6z}{6x + 6y} = \frac{\lambda yz}{\lambda xy}[/tex]

[tex]\frac{8y + 6z}{6x + 6y} = \frac{z}{x}[/tex]

Factor out 2

[tex]\frac{4y + 3z}{3x + 3y} = \frac{z}{x}[/tex]

Cross multiply

[tex]4xy+3xz = 3xz + 3yz[/tex]

Cancel out the common terms

[tex]4xy = 3yz[/tex]

Divide both sides by y

[tex]4x = 3z[/tex]

Make z the subject

[tex]z =\frac{4}{3}x\\[/tex]

So, we have:

[tex]y = x[/tex] and [tex]z =\frac{4}{3}x\\[/tex]

Recall that:

[tex]xyz =480[/tex]

Substitute [tex]y = x[/tex] and [tex]z =\frac{4}{3}x\\[/tex]

[tex]x \times x \times \frac 43x = 480[/tex]

So, we have:

[tex]\frac 43x^3 = 480[/tex]

Multiply both sides by 3/4

[tex]x^3 = 360[/tex]

Take the cube roots of both sides

[tex]x = \sqrt[3]{360}[/tex]

Recall that:

[tex]y = x[/tex]

So, we have:

[tex]y = \sqrt[3]{360}[/tex]

Also, we have:

[tex]z =\frac{4}{3}x\\[/tex]

So, we have:

[tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]

Hence, the dimension of the container of this size that has the minimum cost is [tex]x = \sqrt[3]{360}[/tex], [tex]y = \sqrt[3]{360}[/tex] and [tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]

Read more about Lagrange multipliers at:

https://brainly.com/question/4609414

Given: AB IS CONGRUENT TO CD
PROVE: CD CONGRUENT TO AB

Answers

Answer:

Because of the definition of congruent

Step-by-step explanation:

This problem may sound tricky, but it's not actually that hard. We now congruent means two things are the same, so for this problem, think of it as an equal sign. (Congruent doesn't mean equal, as an equal sign denotes the relationship that two things are the same if we know the concrete value of it.) So if AB=CD, CD=AB as you can swap two sides of an equation around and get the same answer. It's like saying 2=x ∴ x=2 (The dots mean therefore in math.)

Please consider a brainliest! Thank you!

Jessica is wrapping a gift in a rectangular box with gift wrapping paper for a birthday party. The box is 11 inches long, 8 inches wide, and 5 inches tall. How much gift wrapping paper will she need to wrap the box

Answers

Using the surface area of a rectangular prism, it is found that she will need 366 square inches of wrapping paper to wrap the box.

He wraps the box with paper outside, hence, the amount needed is the surface area.

Surface area:

The surface area of a rectangular prism of length l, width w and height h is given by:

[tex]S = 2(lw + lh + wh)[/tex]

In this problem, the dimensions of 11 inches long, 8 inches wide, and 5 inches tall mean that [tex]l = 11, w = 8, h = 5[/tex]. Hence:

[tex]S = 2[11(8) + 11(5) + 8(5)] = 366[/tex]

She will need 366 square inches of wrapping paper to wrap the box.

You can learn more about the surface area of a rectangular prism at https://brainly.com/question/1310421

what is the scale factor of 3x + 2, 3y -1?

(will give brainliest)

Answers

21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.

Which graph represents the solution set of the system of inequalities?

{y<2x+2x+y≥−3

Answers

Answer: the first graph (A)

Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade

Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.

Jonita determined that the distance between her apartment and the nearest hospital was more than 1,600 meters but less than 1,900 meters. Which of the following could be a reasonable estimate for
the distance between her house and the hospital?

O 1.7 x 102 meters
O 1.8 x 103 meters
O 1.7 x 10-3 meters
O 1.8 x 10-2 meters

Answers

Answer: 1.8 x 103 meters

Step-by-step explanation:

The average of the two extremes is 1,700 meters.  This would be 1.7x10^3 in scientific notation.  None of the four options include this number.  But three stand out as total losers.  We can convert the answer options to see the difference:

O 1.7 x 102 meters  =    170 meters      [Loser]

O 1.8 x 103 meters  =  1800 meters

O 1.7 x 10-3 meters =  0.0017 meters   [Loser]

O 1.8 x 10-2 meters =  0.018 meters     [Loser]

Find the commission 700 sales and 6% commmision rate

Answers

Answer: How to calculate commission. This is a very basic calculation revolving around percents. Just take sale price, multiply it by the commission ...

Step-by-step explanation:

Urgent!

18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:



4.9t2 + 24.5t + 117.6 = 0

-4.9t2 - 24.5t + 117.6 = 0

-4.9t2 + 24.5t - 117.6 = 0

4.9t2 + 24.5t - 117.6 = 0

-4.9t2 + 24.5t + 117.6 = 0



19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)

t = 8 seconds

t = 4 seconds

t = 3 seconds

t = -3 seconds

The ball will never reach the ground.



20. Using the same equation, determine when the ball is at a height of 49 meters.

Answers

Step-by-step explanation:

18.

the last one.

-4.9t² + 24.5t + 117.6 = 0

the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.

19.

the general solution for a quadratic equation

y = ax² + bx + c

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -4.9

b = 24.5

c = 117.6

t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =

= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8

t1 = (-24.5 + 53.9)/-9.8 = -3

t2 = (-24.5 - 53.9)/-9.8 = 8

a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.

20.

now the equation is

-4.9t² + 24.5t + 117.6 = 49

but this is quickly transformed again into a "= 0" equation :

-4.9t² + 24.5t + 68.6 = 0

t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =

= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8

t1 = (-24.5 + 44.1)/-9.8 = -2

t2 = (-24.5 - 44.1)/-9.8 = 7

again, negative time does not make sense.

the ball will be at 49 m height after 7 seconds.

3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.

Answers

Answer:

False

Step-by-step explanation:

Hope this helped

If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps

Answers

Answer:

111 minutes and 40 sec

Step-by-step explanation:

11x10=110 minutes

10 sec x 10 = 100 seconds = 1 minute 40 sec

110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds

A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers

Answers

Answer:

55.38 min

Step-by-step explanation:

A car travels,

182 km ⇒ 4 hours

And we have to find the time that it takes to travel 42 km .

Lets make a equation.

Let the unknown time be x

182 km ⇒ 4 hours

42 km ⇒ x

To make easy let's km in to meters and hours in to minutes

182000 m ⇒ 240 min

42000m ⇒ x

Now use cross multiplication.

[tex]182000x=240*42000\\[/tex]

[tex]182000x=10080000[/tex]

[tex]\frac{182000x}{182000} =\frac{1008000}{182000}[/tex]

[tex]x =55.38min[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Write an equation for the proportional relationship shown in the table.

Answers

Answer:

y = 14x

Step-by-step explanation:

First Way of Finding the Equation:

We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).

[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]

So, this proportional relationship has an equation of y = 14x.

Second Way of Finding the Equation:

Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.

From this information, we know that the equation must be y = 14x.

Hopefully that's helpful! :)

there were 8000 people at a festival. people bought their tickets online, by phone, or in person.based on a random sample of people at the festival, 60% bought their tickets online, 15% bought their tickets by phone, and the rest bought their tickets in person

Answers

Answer:

People who bought tickets = 100%

                                             = 8000

People who bought their tickets in person = (100%-60%-15%) × 8000

                                                                       = 2000

The number of tickets sold online is 4800, by phone is 1200, and in person is 2000.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that there were 8000 people at the festival. people bought their tickets online, by phone, or in person. based on a random sample of people at the festival, 60% bought their tickets online, and 15% bought their tickets by phone.

The number of the tickets will be calculated as below:-

Total tickets = 8000

Online tickets = 60% of 8000 = 8000 x 0.6 = 4800

By phone = 15% of 8000 = 8000 x 0.15 = 1200

In-person = 25% x 8000 = 0.25 x 89000 = 2000

Therefore, the number of tickets sold online is 4800, by phone is 1200, and in person is 2000.

To know more about percentages follow

https://brainly.com/question/24304697

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Suppose that n is a positive number and Log10 n = q. Which expression always equals the value of Log10 n^2?

Answers

2q

Answer:

solution given:

[tex]log_{10} n=q[/tex]

now

[tex]  Log_{10 }n^2=?[/tex]

by using property of logarithms

[tex]log_{a} n^p=p log_{a}n [/tex]

now

[tex]  Log_{10 }n^2=2 Log_{10 }n[/tex]

=2q

since [tex]log_{10} n=q[/tex]

Step-by-step explanation:

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