The first term of an arithmetic sequence is -5 , and the twelfth term is 1.7 .find the common difference

Answers

Answer 1
a=-5
a12 = 1.7

a12 = a+(n-1)d
1.7 = -5+(12-1)d

1.7+5 = 11d

6.7/11 = d
0.60 = d

Related Questions

Show work please (6th grade math)

Answers

A rate is a special ratio in which the two terms are in different units. A rate is a little bit different than the ratio, it is a special ratio. For this case, the rate would have units of miles per minutes. We calculate as follows:
rate = 36 miles / 45 min = 0.8 miles per mindistance traveled = 0.8 miles per min ( 60 min ) = 48 miles
Hope this answers the question. Have a nice day.
The answer is 48 miles.

To find how long the bus travels in 60 minutes, we need to find a ratio of how long the bus travels every 15 minutes.

We do this by dividing 45 minutes by 3. We now have 15 minutes.
You then divide the miles by 3 as well. 36 divided by 3 is 12.

A bus travels 12 miles every 15 minutes.

Now, this still isn't the answer. We need to find how many miles the bus travels in 60 minutes. 

To find this, we need to find how many 15 minute intervals are in 60 minutes. To do this, we divide 60 by 15 to get 4. We use this 4 to multiply it by 12 to find the total number of miles in 60 minutes.

12 times 4 is 48 miles.

Therefore, the bus travels 48 miles in 60 minutes.

answer this question please and right

Answers

Formula : (x - x1)² + (y - y1)² = r²

Given center of the circle at (-10,6) and radius 4,

(x + 10)² + (y - 6)² = 4²

(x + 10)² + (y - 6)² = 16

Answer: (x + 10)² + (y - 6)² = 16
Use the formula (x - x1)² + (y - y1)² = r².

Center of circle: (-10, 6)
Radius: 4

(x - -10)² + (y - 6)² = 4²
Equation: (x + 10)² + (y - 6)² = 16

WILL MARK BRAINLIEST

There are 50 red beans and 50 white beans in a bag. The first bean selected is red. The red bean is returned to the bag. What are the chances of the second bean selected being red?

Answers

it should still be a 50/50 chance or 1/2, 50/100, or 50% chance
Since there are 50 red and 50 while beans and you replaced the red bean after taking it out of the bag, the chance of you selecting a red marble is 50/50.
Hope this helps :)

HELP ! I've been stuck on this for over 15 mins. :(



What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?

an = 8 − 5(n − 1); all integers where n ≥ 1
an = 8 − 5(n − 1); all integers where n ≥ 0
an = 8 − 3(n − 1); all integers where n ≥ 1
an = 8 − 3(n − 1); all integers where n ≥ 0

Answers

a1 = first term = 8

Plug in a1 = 8:
an = 8 + (n - 1)d

FInd d:
Given that a2 = 5
5 = 8 + (2-1)d
5 = 8 + d
d = -3

Plug in d = -3:
an = 8 -3(n - 1)

Answer: an = 8 -3(n - 1) ; n ≥ 1

By dividing the number of houses in antonio's subdivision by 4 and adding 15, you can find the number of houses in hector's subdivision. if hector has 47 houses in his subdivision, how many houses are in antonio's subdivision?

Answers

let
x--------> the number of houses in antonio's subdivision 
y-------> the number of houses in hector's subdivision

we know that
(x/4)+15=y----> equation 1
y=47-----> equation 2

substitute equation 2 in equation 1
(x/4)+15=47-----> multiply by 4----> x+60=188-----> x=128

the answer is
the number of houses in antonio's subdivision are 128

20 PTS AND I'LL MARK BRAINLIEST

∠1 and ​ ∠2 ​ are a linear pair, and ​ ∠2 ​ and ​ ∠3 ​ are vertical angles. m∠2=(5+4y)∘ and ​ m∠3=(6y−25)∘ . What is m∠1 ?

Answers

Since m∠2 and m∠3 are vertical angles, they are congruent. Knowing this, we can form this equation:
5+4y=6y-25  (We'll add the degrees symbol later)
5 = 2y - 25
30 = 2y 
y = 15°
We can plug the y-value into the value for m∠2.
5 + 4(15) = 65°

Now, we can easily find m∠1, since they are a linear pair.
m∠1 + m∠2 = 180
m∠1 + 65 = 180
m∠1 = 115°.
m∠1 equals 115°.

Hope this helps!

For $360, a rock-climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Find the total number of visits when the cost for a member and nonmember will be the same.

Answers

If after x day of their visit, non-member and member pays the same

360+4x=16x
360=12x
x=30

After 30 days they visit, they will spend the same amount.
Final answer:

The cost for a member and a nonmember of a rock-climbing gym will be the same at 30 visits.

Explanation:

To find the total number of visits when the cost for a member and a nonmember will be the same, we need to set up an equation based on the problem statement, which we can then solve.

For the member, the cost is the $360 yearly fee plus $4 per visit (for equipment rental) - so if 'x' represents the number of visits, the total cost for a member would be $360 + 4x.

For a nonmember, the cost is $10 per visit (for gym use) plus $6 per visit (for equipment rental) - so the total cost for a nonmember is $16x.

So, to find the number of visits 'x' where both costs are equal, we need to solve this equation: $360 + 4x = $16x.

Solving the equation gives us $360 = 12x, which simplifies to x = 30.

So, the cost for a member and a nonmember would be the same at 30 visits.

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does anyone know what the measuure of Ф should be . is so i will mark brainliest.

Answers

Since the triangles are congruent, they should have similar angle measures:

A triangle's angles measure 180°, so we just have to subtract the other two angle measures:

180 - 50 - 70 = Ф
60 = Ф

Express the complex number in trigonometric form. -2 + 2square root of three i

Answers

4cos(120) + 4isin(120)

Answer:

The required trigonometric form is [tex]4(\cos(60)-i\sin(60))[/tex]

Step-by-step explanation:

Given : Complex number [tex]-2+2\sqrt{3}i[/tex]

To find : Express the complex number in trigonometric form?

Solution :

The complex number [tex]a+ib[/tex] trigonometric form is [tex]r(\cos\theta+i\sin\theta)[/tex]                      

Where, [tex]r=\sqrt{a^2+b^2}[/tex]

and [tex]\theta=\tan^{-1}(\frac{b}{a})[/tex]

On comparing with given complex number  [tex]-2+2\sqrt{3}i[/tex]

a=-2 and [tex]b=2\sqrt{3}[/tex]

Substitute the value,

[tex]r=\sqrt{a^2+b^2}[/tex]

[tex]r=\sqrt{(-2)^2+(2\sqrt{3})^2}[/tex]

[tex]r=\sqrt{4+12}[/tex]

[tex]r=\sqrt{16}[/tex]

[tex]r=4[/tex]

[tex]\theta=\tan^{-1}(\frac{b}{a})[/tex]

[tex]\theta=\tan^{-1}(\frac{2\sqrt3}{-2})[/tex]

[tex]\theta=\tan^{-1}(-sqrt3)[/tex]

[tex]\theta=\tan^{-1}(\tan(-60))[/tex]

[tex]\theta=-60[/tex]

Substituting all values in the formula,

[tex]r(\cos\theta+i\sin\theta)[/tex]

[tex]4(\cos(-60)+i\sin(-60))[/tex]

[tex]4(\cos(60)-i\sin(60))[/tex]

Therefore, The required trigonometric form is [tex]4(\cos(60)-i\sin(60))[/tex]

To the nearest hundredth, what is the area of a circle with a radius of 3 units

Answers


28.27 square units  (APEX)

Answer:

28.27

Step-by-step explanation:

gl on test

Triangle rst is circumscribed about the circle below. What is the perimeter of the triangle?

Answers

I have attached the diagram that is related to this question.

Answer:
perimeter of the triangle = 24 units

Explanation:
Using the grid, we can note that:
RS = 6 units
ST = 8 units

We know that the triangle inscribed in a circle is a right-angled triangle. Therefore, we can use the Pythagorean theorem to get the third side as follows:
(RT)² = (RS)² + (ST)²
(RT)² = (6)² + (8)²
(RT)² = 100
RT = 10 units

Now, we can get the perimeter as follows:
perimeter = RS + ST + RT
perimeter = 6 + 8 + 10
perimeter = 24 units

Hope this helps :)

Not sure what the answer is but this guy didnt attach the dang picture so here.

In a poll of students at basketball champoin 82% of the students say that basketball is better than fottball.

Answers

69 for sure. Too easy give me something harder

What is log base 5(4*7 )+log base 5 of 2 written as a single log?
A.log base 5 of 21
B.log base 5 of 26
C.log base 5 of 30
D.log base 5 of 56

Answers

The answer for the exercise shown above is the last option (Option D), which is:

 D. log base 5 of 56

The explanation is show below:

 1. You have the following logarithm expresssion:

 log5(4*7 )+log5(2)

 2. By the logarithms properties, you can rewrite the logarithm expression as following:

 log5(28)(2)
 log5(56)

 3. Therefore, as you can see, the answer is the option mention before.
 

Answer:

D. log base 5 of 56

Step-by-step explanation:

Since, by the multiplication law of logarithm,

[tex]log_a(m)+log_a(n) = log_a(mn)[/tex]

Given expression is,

log base 5(4*7 )+log base 5 of 2

[tex]=log_5(4\times 7)+log_5(2)[/tex]

[tex]=log_5(28)+log_5(2)[/tex]

By the above property,

[tex]=log_5(28\times 2)[/tex]

[tex]=log_5(56)[/tex]

= log base 5 of 56

Hence, Option D is correct.

can someone please explain the steps to solve these questions.

Answers

Alright! So to solve these questions, you need to find out the difference. You can use ratios to solve this. For example, question #25:

A class had 30 pupils at the beginning of this school term, but now has 5 more pupils. What is the percent of increase?

The question is basically asking how much 5 is in ratio to 30. So just divide 5 (the given amount) by 30 (the total amount). The answer is 0.16, or 16%

The height of a triangle is 8 inches more than its base. the area of the triangle is 104.5 square inches. find the base and height.

Answers

let
b------> the base of the triangle
h------> the height of the triangle

we know that
area of the triangle=b*h/2
h=b+8-----> equation 1
area=104.5 in²
104.5=b*h/2-----> 209=b*h-----> equation 2

substitute equation 1 in equation 2
209=b*[b+8]----> 209=b²+8b-----> b²+8b-209=0

using a graph tool---> to resolve the second order equation
see the attache figure

the solution is 
b=11 in
h=b+8----> h=19 in

the answer is
the base is 11 in and the height is 19 in

If the person can't accommodate and the glasses is + 2.50d, at which distance will the person see clearly

Answers

At  2/5 of a Meter is where the person can see clearly.

At a + diopter measurement is a nearsighted person take the value of 2.5 and make it the denominator with 1 as the numerator to find the distance in meters that they can see clearly past their face. 
1/2.5 = 2/5 of a meter.

Answer:

40 cm or 2/5 of a meter.

Step-by-step explanation:

A short-sighted person, at a positive diopter, will take an estimation of about 2.5 and make it the denominator by 1 as the numerator to find out the distance (in meters) that they can see clearly.

We can find the value of f, given the value for P:

P = +2.50

f = 1 / p = 1 / 2.50

(changing the units, it will be)  ---> 100 / 2.50 which is equal to 40 cm.

Therefore, 40 cm which is 2/5 of a meter is the distance a person with glasses +2.5d can see clearly.

Find the area of the surface of the part of y=4x+z^2 that lies between the planes

Answers

Y) Recorder [tex]4x[/tex] and [tex]z^2[/tex]

[tex]y=z^2+4x[/tex]

X)Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolate the variable

[tex]x=- \frac{ z^{2} }{4}+ \frac{y}{4} [/tex]

Z)Take the root of both sides and solve.

[tex]z= \sqrt{-4x+y}, - \sqrt{-4x+y} [/tex]


given function f(x)=x^2-x+8, find each of the following. f(9) f(-6) f(0)

Answers

[tex]f(x)=x^2-x+8[/tex]

f(9) - substract x = 9 to the equation of the function:

[tex]f(9)=9^2-9+8=81-9+8=80\\\\f(-6)=(-6)^2-(-6)+8=36+6+8=50\\\\f(0)=0^2-0+8=8[/tex]

What is the value, after 7 years...

Answers

$13946.1651 is the final answer:)

Answer:

13946

Step-by-step explanation:

The spoke of a wheel reaches from the center of the wheel to its room if the circumference of the rim of the wheel is 42 inches how long is each spoke

Answers

The circumference of a circle is πdYou know the circumference of the rim of the wheel is 48 in.
 so to find the (d) you divide 48÷3.14=15.29 inches. As the spoke goes from the center to its rim, it it is the radius, which is half of the diameter.15.29/2 is
B) 7.64 inches.

Find the following measure for this figure.
Volume =
18 cubic units
24 cubic units
36 cubic units

Answers

The figure on the picture is parallelepiped (or right rectangular prism), whose volume is icalculated as V=lwh, where l measures the length, w measures the width and measures the altitude of parallelepiped.

In your case, l=4 units, w=2 units, h=3 units and V=4×2×3=24 cubic units.

Answer:

So the answer is 24 cubic units

Step-by-step explanation:

l=4 units,

w=2 units,

h=3 units and

V=4×2×3=24 cubic units.

Recently, the texas junior college teachers association annual conference was held in austin. at the time a taxi ride in austin was $ 1.75 $1.75 for the first 1 5 15 of a mile and $ 0.25 $0.25 for each additional 1 5 15 of a mile. if the distance from one of the convention hotels to the airport is 5.8 5.8 miles, how much will it cost to take a taxi from that hotel to the airport?

Answers

the correct question is
Recently, the texas junior college teachers association annual conference was held in austin. at the time a taxi ride in austin was $ 1.75 for the first 1/5 of a mile and $ 0.25 for each additional 1/5 of a mile. if the distance from one of the convention hotels to the airport is 5.8 miles, how much will it cost to take a taxi from that hotel to the airport?

we know that
(1/5) miles is equal to 0.20 miles
so

for the first 0.20 miles----------> $1.75
Remaining Distance = 5.8 - 0.2 miles = 5.6 miles
5.6/(0.2) =28 (this is the number of (1/5)th of a mile after the 1st (1/5)th
Each of these costs 0.25 dollars
28*0.25 = 7 dollars

total cost=$1.75+$7------> $8.75

the answer is
$8.75

To calculate the total taxi fare in Austin, first calculate the initial fee for the first 1/15 mile and then the cost for each additional 1/15 mile. For 5.8 miles, the total cost amounts to $23.25, comprising a $1.75 initial fare and $21.50 for the subsequent distance.

Let's break down the cost of a taxi ride based on the given pricing structure. To find the total cost of a taxi ride for a given distance, we need to calculate the cost for the first 1/5 mile and the additional cost for the remaining distance.

The initial cost for the first 1/5 mile is given as $1.75.

We know the total distance is 5.8 miles. Since the first 1/5 mile is included in the initial cost, the distance to be charged in increments of 1/5 mile is:

[tex]\[ 5.8 - \frac{1}{5} = 5.8 - 0.2 = 5.6 \, \text{miles} \][/tex]

To find the number of 1/5 mile increments in 5.6 miles, divide by 0.2:

[tex]\[ \frac{5.6}{0.2} = 28 \][/tex]

Thus, there are 28 additional 1/5 mile increments.

Each additional 1/5 mile increment costs $0.25. Thus, the total cost for the additional distance is:

[tex]\[ 28 \times 0.25 = 7.00 \][/tex]

The total cost is the initial cost plus the cost for the additional distance:

[tex]\[ 1.75 + 7.00 = 8.75 \][/tex]

Thus, the total cost to take a taxi from the hotel to the airport, given a distance of 5.8 miles, is $8.75.

Find all solutions to the equation sin2x+sinx-2cosx-1=0 in the interval [0, 2pi)

Answers

The solutions appear to be {π/2, 2π/3, 4π/3}.

_____
Replacing sin(2x) with 2sin(x)cos(x), you have
  2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
  sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
  (sin(x) -1)(2cos(x) +1) = 0

This has solutions
  sin(x) = 1
  x = π/2
and
  2cos(x) = -1
  cos(x) = -1/2
  x = {2π/3, 4π/3}

License plates are made using 2 letters followed by 3 digits. how many plates can be made ifrepetition of letters and digits is allowed

Answers

26×26×10×10×10= 676 000

help pls!!! 10 points!!!

Answers

1) The angle bisector divides makes the segments on one side proportional to the corresponding segments on the other side.
  3/4 = x/7.5
  x = (3/4)*7.5 = 5.625

2) There are a number of ways to compute the area of the figure. I choose to divide it into a rectangle 8 units wide by 6 units high and two triangles. One triangle is 3 units wide and 2 high, the other is 6 units wide and 1 high. Then the total area is
  (8*6)+(1/2)*(3*2 +6*1)
  = 48 +6
  = 54 units²

A pretzel maker was interested in knowing the number of pretzels in each bag it sold. The results of their research are shown in the box-and-whisker plot. What is the median number of pretzels?

Answers

The median number of pretzels is 54.

What is Box and whisker plot?

The lower and upper quartiles are represented by the left and right sides of the box in a box and whisker plot. The box encompasses the interquartile interval, which contains 50% of the data. The median is the vertical line that divides the box in half. On the box plot, the mean is sometimes shown by a dot or a cross.

From the given box plot we can have the following information:

Minimum = 45

Lower Quartile = 47

Median= 54

Upper Quartile= 61

Maximum = 68

Thus, the Required median is 54.

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Any answers please??

Answers

Your answer is going to be (4,4).
X-axis= (x,y) --->(x,-y)
Y-axis= (x,y) --->(-x,y)

X-axis= (-4,4) --->(-4,-4)
Y-axis= (-4,-4) --->(4,-4)
X-axis= (4,-4) --->(4,4)

Hope this Helps! :)


If sin x =1/2 what
is cos x

Answers

[tex]\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\to\cos x=\sqrt{1-\sin^2x}\\\\\sin x=\dfrac{1}{2}\\\\\text{substitute}\\\\\cos x=\sqrt{1-\left(\dfrac{1}{2}\right)^2}=\sqrt{1-\dfrac{1}{4}}=\sqrt{\dfrac{3}{4}}=\dfrac{\sqrt3}{\sqrt4}=\dfrac{\sqrt3}{2}[/tex]

Zekia divides of 6 cups of fruit juice equally among 8 friends two of her friends don't drink the juice how much juice is leftover

Answers

6 cups divided by 8 friends is 0.75 cup per friend
if 6 friends drink and 2 dont, then the amount of juice saved is
0.75 cup/friend * 2 friends = 1.5 cup

1.5 cup of juice is left over

Final answer:

Since Zekia has 6 cups of fruit juice to divide among 8 friends, with 2 not drinking, there will be no juice leftover because each of the 6 drinking friends will receive 1 cup each.

Explanation:

Zekia has 6 cups of fruit juice that she wants to divide equally among her 8 friends, but 2 friends don't drink any. Initially, we would divide 6 cups by 8 to find out how much each friend gets. However, since 2 friends aren't drinking, only 6 friends will be actually consuming the juice.

First, let's calculate the amount of juice each of the 6 friends would receive:

Total juice = 6 cups

Number of friends drinking = 8 - 2 = 6

Juice per friend = Total juice ÷ Number of friends drinking = 6 cups ÷ 6 = 1 cup

So, each of the 6 friends will get 1 cup of juice. Since all 6 cups of juice are consumed, there is no juice leftover.

What is the radian measure of a 150° angle?

Answers

well, since we know that in π radians there are 180°, then how many radians in 150°?

[tex]\bf \begin{array}{ccll} radians&de grees\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \pi &180\\ x&150 \end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{150}\implies \cfrac{\pi \cdot 150}{180}\implies \stackrel{simplified}{\cfrac{5\pi }{6}}[/tex]

The radian measure of a 150° angle is (5/6) π rad, found by multiplying 150° by the conversion factor π/180.

To find the radian measure of a 150° angle, we use the relationship between degrees and radians. Recall that a full circle in degrees is 360° and in radians is 2π rad. Therefore, we can say that 360° equals 2π radians. To convert degrees to radians, we multiply the degree measure by the fraction π/180.

For a 150° angle, the calculation would be:
150° multiplied by the conversion factor π/180
150° * (π/180) = (150/180) * π = (5/6) * π rad

Thus, the radian measure of a 150° angle is (5/6) π rad.

Other Questions
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