find the three arithmetic means in this sequence 14 and 26

Answers

Answer 1

We subtract them and divide by four to find the common difference d. The intermediate means implies that there are four increments, thus we shall have:
(26-14)=12
hence
12/4=3
thus
d=2 and the missing means are:
26, 23,20,17,14

Related Questions

1.
A. 3.75
B. 1.5
C. 3
D. 4.5

2.
A. 30
B. 16
C. 8
D. 15

Answers

b: 3.75 since it is half of the segment that measures 7.5, this is proven because the line in the middle is a bisector of the top and bottom line indication that both half measure the same; 3.75

2) 15 not sure why

Maria is ordering copy paper for her office. The office is low on white paper and on blue paper. She will pay $3.50 per realm of white paper and $3.75 per realm of blue paper. If the purchase order is for $36.00 and she ordered 10 realms of paper, how many realms of white paper will she receive

Answers

You have:

x: the number of reams of white paper purchased
y:the number of reams of blue paper purchased

Then, you have the following system of equations:

x+y=10
3.50x+3.75y=36

When you solve the system shown above, you obtain:

x=6
y=4

The answer is: 6 reams of white paper

Let a = reams of white pape b = reams of blue paper

1>>> a+b=10
2>>> 3.50a+3.75b=36

a=6
b=4
There will be 6 realms of white paper that Maria will receive

What formula would I use to find A?

Answers

For this case by cosine theorem, we can use the following formula to find the value of a:
a ^ 2 = (6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70)
Clearing a we have:
a = root ((6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70))
Answer:
A formula to find A is:
a = root ((6.3) ^ 2 + (15.10) ^ 2 - 2 * (6.3) * (15.10) cos (70))

The angle of elevation from point A to the top of a cliff is 38 degrees. If point A is 80 feet from the base of the cliff, how high is the cliff?
A.
60.50 ft.
B.
62.50 ft.
C.
63.50 ft.
D.
61.50 ft.

Answers

tan 38 = h/80
h = 80 tan 38 = 62.50 ft

Its B

Richard can read 1/4 of a book in 3/5 of an hour. At this rate, how much can Richard read in one hour

Answers

3/5 hour ⇒ 1/4 of the book

Find 1/5 hour:
1/5 hour ⇒ 1/4 ÷ 3 = 1/4 x 1/3 = 1/12 of the book

Find 5/5 (1 hour):
5/5 hour ⇒ 1/12 x 5 = 5/12 of the book

Answer: 5/12 of the book

pls help with this pre-calc question on vectors!!

Answers

The answer is the option C, which is:

C. √29

The explanation of this exercise is:

To solve this problem you must apply the proccedure shown below:

1- You have that:

W (-2,8,-3) and X(1,4,-1)

2- Therefore, you can calculate the magnitude as below:

|WX|=√[(1-(-2)]²+(4-8)²+[(-1-(-3)]²)
|WX|=√29

Hi, I don't feel very confident about my work in this calculus problem and I would appreciate it if anyone else could note any corrections or ways to improve my answers. My problem is split into parts A, B, C, and D and my work is in green. Thank you!

Answers

You're pretty close. It's all in the details.

A. Correct.

B. Correct.

C. Sign error in the boxed answer. -(-0.5) = 0.5
The graph shows c ≈ 1.855. If a is more than that and decreasing, area is increasing. The sign of dA/dt will be positive. (Compare to D)

D. Units are not shown. Numerical value is correct.

0.6704 repeating as a fraction?

Answers

Suppose [tex]x=0.67046704\ldots[/tex].

Then [tex]10^4x=6704.67046704\ldots[/tex], and we have

[tex]10^4x-x=9999x=6704[/tex]

which means

[tex]x=\dfrac{6704}{9999}[/tex]

Your brother and sister took turns driving on a 580 mile trip that took 10 hours to complete. your brother drove at a constant speed of 55 miles per hour and your sister drove at a constant speed of 60 miles per hour. how long did each person drive.

Answers

let the time the boy drove be x and that the girl drove be y:
x+y=10
thus
x=10-y........i

distance=speed*time
the distance each one drove will be:
55x+60y=580....ii
substituting i in ii we get:
55(10-y)+60y=580
550-55y+60y=580
5y=30
y=6 hours
thus
x=10-6=4 hours
hence the boy drove for 4 hours and the girl for 4 hours

Using a system of equations, it is found that the brother drove for 4 hours and the sister drove for 6 hours on their 580-mile, 10-hour trip.

To solve this problem, let's assign variables to the unknown quantities. Let x be the number of hours your brother drove and y be the number of hours your sister drove. We know they drove for a combined total of 10 hours and covered 580 miles together. This gives us two equations:

Equation 1 (Total Time): x + y = 10Equation 2 (Total Distance): 55x + 60y = 580

Since there are two equations with two unknowns, we can solve for x and y by using substitution or elimination method. Let's use the substitution method:

Solve Equation 1 for y: y = 10 - xSubstitute y into Equation 2: 55x + 60(10 - x) = 580Simplify and solve for x: 55x + 600 - 60x = 580, which gives us -5x = -20, so x = 4.Now substitute x back into Equation 1 to find y: y = 10 - 4, so y = 6.

Therefore, your brother drove for 4 hours, and your sister drove for 6 hours.

. Convert 5π/3 to degrees

Answers

[tex] \pi [/tex] radians is equal to 180 degrees.

Convert [tex] \pi [/tex] to 180 to get the following fraction:

[tex] \frac{5 * 180}{3} [/tex]

Multiply 5 and 180 together to get the following fraction:

[tex] \frac{900}{3} [/tex]

Simplify the fraction.

[tex] \frac{900}{3} [/tex] = 300

The answer is 300 degrees.

π radians = 180 degrees

so 5π / 3 radians = 180 / π * 5 π / 3 = 900 / 3 = 300 degrees Answer

Question 2 (Matching Worth 4 points)

Match the sequence (term) with the correct type of sequence (definition).

Match Term Definition

128, 32, 8, 2, … A) Geometric, common ratio is 0.25

1, 3, 9, 27, … B) Geometric, common ratio is 3

5, 10, 15, 20, … C) Arithmetic, common difference is −3

20, 17, 14, 11, … D) Arithmetic, common difference is 5

Answers

Switch c, and d.
Which makes it so that the common difference between 5, 10, 15, 20 is 5.
Then the difference between 20, 17, 14, 11 ... is -3.
Other than that your correct

please please please someone help me no one on this site will help me. i so confused. please help.

PLEASE SOMEONE HELP ME!!!!! ILL GIVE BRAINLIEST
1. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = –0.04x2 + 8.3x + 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land?
A. 208.02 m
B. 416.30 m
C. 0.52 m
D. 208.19 m

2. A catapult launches a boulder with an upward velocity of 184 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 184t + 20. How long does it take the boulder to reach its maximum height? What is the boulder's maximum height.
A. Reaches a maximum height of 11.6 feet after 5.75 seconded.
B. Reaches a maximum height of 549 feet after 11.5 seconds.
C. Reaches a maximum height of 549 feet after 5.75 seconds.
D. Reaches a maximum height of 23.2 feet after 11.6 seconds.

3. A ball is thrown into the air with an upward velocity of 32 ft/s. Its height (h) in feet after t seconds is given by the function h= -16t^2 + 32t + 6. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.
A. Reaches a maximum height of 22 feet after 1.00 second.
B. Reaches a maximum height of 22 feet after 2.00 seconds.
C. Reaches a maximum height of 44 feet after 2.17 seconds.
D. Reaches a maximum height of 11 feet after 2.17 seconds.

Answers

Problem One
The rocket will hit ground level when y = 0. The plan is is to set y =0 and solve the quadratic. Be careful how you go about to this. It is an odd way to represent this kind of problem. The question does say that y defines how far off the ground the rocket is at the beginning. Therefore the height of the building does not matter (or shouldn't). All that matters is that y is ground level when y = 0.

a = - 0.04
b = 8.3
c = 4.3

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]
[tex]\text{x = }\dfrac{ -8.3 \pm \sqrt{8.3^{2} - 4*(-0.04)*(4.3) } }{2(-0.04)}[/tex]

From here you should be able to calculate the answer. One of them is -0.52 which is not the one you use. Minus heights do not matter in these problems yet. The other root is your answer.

Problem Two

Problem two is the usual way to express what happens to a projectile in the air. It again is going to be solved by the quadratic equation.

There are two ways to do this problem. If you know physics, you can solve it using the projectile formulas. If you don't , then you can use the trick in the previous problem. You can calculate how long it takes to hit the ground (h will then be zero).

This problem is rather nasty for someone who has not taken physics. There is another trick. You have to divide the time you get from the previous step by 2. When you solve the quadratic for h = 0, you get 11.6 seconds. But that is the time it takes to hit the ground. Half time is when the boulder will be at it's highest point. t = 11.6 / 2 = 5.8 (which your answers record as 5.75).

h = 0

a= -16

b = 184

c = 20

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} [/tex]

[tex]\text{x = }\dfrac{ -184 \pm \sqrt{184^{2} - 4*(-16)*(20) } }{2*(-16)} [/tex]

The answer from this equation is t = 11.6

The time you want is t = 5.75. You can calculate the maximum height by putting 5.75 in for t.

Problem 3

Problem 3 is done exactly the same way as problem two. You just have different numbers. When h = 0 the time taken to reach zero = 2.17 seconds. Therefore the time you want to put into the original equation for the maximum height is 1/2 of 2.17 seconds. From there you can find the maximum height.

Note: there is a lot of math in here. I have gotten you past the physics. I have also alluded to the answers. I think you should be able to carry out the rest.

What is the length of AB?

Answers

The radius of the circle is given to be r = 14.5

Let the center be O. So OB is the radius = 14.5

We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.

So, we can write:

[tex](14.5)^{2}=10^{2}+OA^{2} \\ \\ OA^{2}=110.25 \\ \\ OA=10.5 [/tex]

Thus, the measure of OA = 10.5

OB = OA + AB

14.5 = 10.5 + AB
⇒
AB = 4

r = 14.5

form a right triangle with the 10 as 1st side and r as the hypotenuse.
get the length of the other side using pythagorean.

c = sqrt(14.5^2 - 10^2) = 10.5

The length from the center to point A = c = 10.5
AB = r - c = 14.5 - 10.5 = 4

length AB = 4

If there is a ratio of 3 to 2, than how many are there in the first number if there is a total of 80?

Answers

Answer:

Step-by-step explanation:

The total number of "ratio units" is 3+2 = 5, so each stands for 80/5 = 16 items. Then 3 ratio units stand for 3×16 = 48 items.

3 : 2 = 48 : 32

The first number is 48.

98 POINTS PLEASE HELP
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Determine the standard form of the equation for the circle

With center (h,k)=(-5,1/2) and radius r=1

A) (x-5)^2 + (y + 1/2)^2 = 1

B) (x-5) + (y - 1/2) = 1

C) (x+5)^2 + (y - 1/2)^2 = 1

D) (x+5)^5 + (y- 1/2)^2 = 105/2

Answers

The standard form of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. We will fill in our h, k and r accordingly. [tex](x-(-5))^2+(y- \frac{1}{2})^2=1^2 [/tex] which simplifies down to [tex](x+5)^2+(y- \frac{1}{2})^2=1 [/tex] choice C. There you go!

Hello!

I believe the answer is C) (x+5)^2 + (y - 1/2)^2 = 1.

I hope it helps!

The volumes of two spheres are in a ratio of 1:8. what is the ratio of their radii?

Answers

we know that

volume of a sphere=(4/3)*pi*r³

let
A-----> smaller sphere
B-----> larger sphere

VA=(4/3)*pi*rA³
VB=(4/3)*pi*rB³
VA/VB=1/8--------> (1/8)=[(4/3)*pi*rA³]/[(4/3)*pi*rB³]

(1/8)=[rA³]/[rB³]-----> (1/8)=[rA/rB]³-----> rA/rB=∛(1/8)----> rA/rB=1/2

the answer is
the ratio of their radii is (1/2)

Simplify the expression 1 + 2a - 3(4+5a) + 6(7-8a)

Answers

Answer:

31 - 61a

Step-by-step explanation:

We distribute, being especially careful with the negative signs:

1 + 2a - 3(4 + 5a) + 6(7 - 8a)

1 + 2a - 3 * 4 - 3 * 5a + 6 * 7 - 6 * 8a

1 + 2a - 12 - 15a + 42 - 48a

31 - 61a

The required simplified expression of the given expression is 31 - 61a.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

As mentioned in the quesiton, to simplify the expression 1 + 2a - 3(4+5a) + 6(7-8a),
⇒ 1 + 2a - 3(4+5a) + 6(7-8a),
⇒ 1 + 2a - 12 - 15a + 42 - 48a

Adding alike terms,
⇒ 31 - 61a

Thus, the required simplified expression of the given expression is 31 - 61a.

Learn more about simplification here:

https://brainly.com/question/12501526

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what is 4.6 repeating as a fraction???
please help!! :'(

Answers

Your answer would be 4 2/3.

Let

x=4.66¯6

Then 10x=46.66¯6

So 10x−x=46.66¯6
4.66¯6.−−−−−−−− subtract
9x=42

Divide both sides by 9

x=429=423

Using the rate of $8 for every 2 pounds of rice, how much would a 1/2 pound of rice cost

Answers

2/½=4
8/4=2
It would be 2$

2 pound = $8

1 pound = $8 ÷ 2 = $4

1/2 pound = $4 ÷ 2 = $2

Answer: $2

A gazebo is located in the center of a large circular lawn with a diameter of 300 feet. straight paths extend from the gazebo to a sidewalk around the lawn. if two of the paths form a 45 angle, how far would you have to travel around the sidewalk to get from one path to the other? Round your answer to the nearest foot

Answers

1.To solve this problem you must apply the formula for calculate the arc length, which is:
arc length=2πr(central angle/360)
r=300 feet/2
r=150 feet
central angle=45°
2. When you substitute the values, you obtain
arclength=118 feet
The answer is: 118 feet

Answer: 118

Step-by-step explanation:

1.To solve this problem you must apply the formula for calculate the arc length, which is:

arc length=2πr(central angle/360)

r=300 feet/2

r=150 feet

central angle=45°

2. When you substitute the values, you obtain

arclength=118

The angle of elevation from a boat to the top of a lighthouse is 22°. The lighthouse is 32 meters tall.

What is the distance from the boat to the base of the lighthouse?

Enter your answer as a decimal. Round only your final answer to the nearest tenth.

Answers

look at this like a right triangle with a height of 32 M and the angle at the base of 22 degrees
The distance from the boat to the lighthouse would be the base of the triangle

to find the base given the height and angle given the formula is

x = height / tan(angle)

x = 32 / tan(22)

x = 79.2 Meters

Jenna uses 18 inches if ribbon for each box she wraps how many yds of ribbon does she need to wrap 4 boxes

Answers

She needs 2 yards of ribbon to wrap 4 boxes.

if she uses 18 inches for each box then for 4 boxes she will use 18+18+18+18 or 18×4=72 inches.
since 1 yard is 36 inches she will need 72/36=2 yards.

if you like my answer please rate as brainliest! thx

Anyone know the answer?

Answers

the answer is c because k and m are the same so l and n are also the same

I WILL MARK BRAINLIEST

Answers

Hello!

You can use the Pythagorean Theorem

[tex]a^{2} + b^{2} = c^{2} [/tex]

c is the hypotenuse which is the side across the right angle
a and b are the other sides

Put in the values you know

[tex] a^{2} + 5^{2} = 12^{2} [/tex]

Square the numbers

[tex]a^{2} + 25 = 144[/tex]

Subtract 25 from both sides

[tex] a^{2} = 119[/tex]

Take the square root of both sides

a = 10.9

The answer is D) 10.9 centimeters

Hope this helps!

5.0/5

prestonshelton

Expert

1.1K answers

231K people helped

Hello!

You can use the Pythagorean Theorem

c is the hypotenuse which is the side across the right angle

a and b are the other sides

Put in the values you know

Square the numbers

Subtract 25 from both sides

Take the square root of both sides

a = 10.9

The answer is D) 10.9 centimeters

Hope this helps!

On a recent trip, sarah's car traveled 20 mph faster on the first 110 miles than it did on the remaining 80 miles. the total time for the trip was 4 hr. find the speed of sarah's car on the first part of the trip.

Answers

Let x mph be the speed for the 110 miles trip. Then for 80 miles,
Speed = (x-20) mph

Time, t = Distance/Speed
On 110 miles, t1 = 110/x hrs
On 80 miles, t2 = 80/(x-20) hrs

Total time = 4 hrs = t1+t2 = 110/x + 80/(x-20)

Solving for x;
4 = [110(x-20) + 80(x)]/x(x-20)
4(x)(x-20) = 110x -2200 + 80x
4x^2 - 80x = 110x - 2200 + 80x
4x^2 -80x -110x - 80x +2200 = 0
4x^2 -270x +2200 = 0
Solving the quadratic equation;
x = [-(-270)+/- Sqrt ((-270)^2 -4(4)(2200)]/2*4 = 33.75+/- 24.27 = 9.48 mph or 58.02 mph

Ignore the value smaller than 20 as this would yield a negative value of second speed which is not practical.

Therefore, speed in the first 110 miles is 58.02 mph

Six years ago annabelle was twice as old as jason was. now, annabelle is four years older than jason. how old is jason now?

Answers

The present age of Jason is given as 10 years.

How to solve a linear equation?

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given problem can be solved as follows,

Suppose the age of Jason 6 years ago was x.

Then, the age of Annabelle 6 years ago was 2x.

Their present ages are x + 6 and 2x + 6 years respectively.

As per the question, the following equation can be formed as follows,

2x + 6 = x + 6 + 4

=> 2x - x = 10 - 6

=> x = 4

Thus the present age of Jason is 4 + 6 = 10 years.

Hence, the age of Jason now is 10 years.

To know more about linear equation click on,

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ms blankenship had 80 dollars to purchase school supplies for her class.she bought 32 glue sticks and 32 boxes of crayons.each glue stick cost 1.40 and each box of crayons vost 0.59 .how much money did ms blankenship have left after these purchases

Answers

Together 32 glue sticks cost $44.80.
Together 32 box of crayons cost $ 18.88.

$44.80 + $18.88 = $63.68
$80 - $63.68 = $16.32

So Ms. Blankenship had $16.32 left after buying school supplies.

Hope this Helps!!

What is the value of r?

Answers

good day ^-^ ///////////////

Answer:R = 4

Step-by-step explanation:

what is the value of this expression 3*[(7+8)*2+6] A.64 B.87 C.96 D.108

Answers

D. 108
thats the answer

[tex]3((7+8)*2+6)[/tex]
[tex]=3*36[/tex]
[tex]=108[/tex]
Hope this helps :)

Mr bartley is taking the theater club on a field trip he wrote the the folowing function for the school treasure 52(25+2)

Answers

The answer would be 1,404

Answer:

The answer is 1,404

Step-by-step explanation:

To do this operation, you should be aware of the order of operations. PEMDAS is a good way to remember the order of operations:

1. Parenthesis

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Substraction

Therefore, the first thing we have to do is the parenthesis.

(25+2) = 27

And now, we can do the multiplication

52*27 = 1,404.

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