Find a formula for the nth term in this
arithmetic sequence:
a₁ = 7, a2 = 4, a3 = 1, a4 = -2, ...
an
=
[?]n +

The statement that correctly compares the water bills for the two neighborhoods based on the histogram given is that the range of water bills on Pine Road is higher than the range of water bills on Front Street.

It should be noted that a histogram means a graph that shows the frequency of the numerical data using rectangles.

In this case, the statement that correctly compares the water bills for the two neighborhoods based on the histogram given is that the range of water bills on Pine Road is higher than the range of water bills on Front Street. This was the difference between the highest and lowest number.

Learn more about histogram on:

brainly.com/question/9388601

#SPJ1

Answer: More homes on Pine Road had water bills above $200 than on Front Street.

Step-by-step explanation: edge 2023

Answer:

The top left answer is correct.

Step-by-step explanation:

If you take each ordered pair and put them in the form y/x.  The top left corner is the only one where all of the equations are equivalent.

7/1 = 21/3 = 35/5 = 49/7

Answer:

(4x+5)

Step-by-step explanation:

4x(5x-3)+5(5x-3)

collecting like terms, first part is (5x-3) hence second part of the equation is (4x+5) from the equation above.

Answer:

Step-by-step explanation:

(20x2 – 12x) + (25x– 15)

4x(5x – 3) + 5(5x – 3)

(( (5x – 3)(4x +5) ))

The answer is -3.

If m = 4 and n = -7, we can evaluate the expression by substitution.

m + n

4 + (-7)

-3

❄ H there,

evaluate this expression by substituting the provided parameters –

[tex]\sf{m+n} \ | \ m=4 \ \& \ n=-7 \ | 4+(-7)=4-7=-3}[/tex]

That's it!

❄

Answer:

84

Step-by-step explanation:

15+15+27+27

Answer:

-1 and degree 8

Step-by-step explanation:

the highest degree carry the leading coefficient, and the highest power take the highest degree

Answer:

130

Step-by-step explanation:

let the inside value be,x

x+30°+20°=180°(Being sum of interior angle of triangle)

or,x+50°=180°

or,x=180°-50°

or,x=130°

Now,

let the exterior angle be,a

a=x(VOA)

a=130°

Therefore the value of a is 130°.

Answer: Plant B produced 4000 panels

Step-by-step explanation: Let the number of panels produced by plant A = a and the number of panels produced by plant B = x. In total, we have 3000 + x.  Now for the defective panels. 10% of plant a + 3% of plant b = 6% of both a and b. 300 + 3/100(x) = 6/100(3000 + x). 300 + 0.03x = 180 + 0.06x. Now, we simplify. 300 - 180 = 0.06x = 0.03x. So, 120 = 0.03x and 40 = 1% of x. This means x = 4000. So, therefore, Plant B produced 4000 panels. We can check our work by using the value of x we got. 4000 + 3000 = 7000. 6% of 7000 = 420. 120 = 3% of 4000. 120 + 300 = 420 so the answer we got is correct. Hope this helped

Answer:

what is the question show the pic

The equation that represent the total salary that I earn for working x hours in a week is y = 10x

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let y represent the total salary earned by working x hours, hence, if I earn $10 per hour:

y = 10x

The equation that represent the total salary that I earn for working x hours in a week is y = 10x

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

event

An event can be described as an individual or set of outcomes of an experiment.

Events are a subset of the experiment's sample space.

The sample space of an experiment is the complete set of possible outcomes of that experiment.

A simultaneous equation is a set of equations that has to be solved in relation to each other at the same time. Thus the required number of stamps are:

4¢ stamps = 16

5¢ stamps = 7

A simultaneous equation is a set of equations that has to be solved in relation to each other at the same time. This process is required so as to determine the values of two unknowns e.g x and y.

From the given question, let the number of 4¢ stamps be represented by n, and that of the 9¢ stamp be represented by m.

So that,

n + m = 23 ............ 1

But 100¢ = $1, so that;

4¢ = x

x = [tex]\frac{4}{100}[/tex]

  = $0.04

also,

9¢ = x

x = [tex]\frac{9}{100}[/tex]

  = $0.09

Thus, we have;

0.04n + 0.09m = 1.27 ......... 2

From equation 1, make n the subject of the formula, such that;

n = 23 - m ........... 3

Substitute equation 3 into equation 2

0.04(23 - m) + 0.09m = 1.27

0.92 - 0.04m + 0.09m = 1.27

collect like terms to have;

0.05m = 1.27 - 0.92

          = 0.35

m = [tex]\frac{0.35}{0.05}[/tex]

m = 7

Now substitute the value of m into equation 3

n = 23 - m ........... 3

  = 23 - 7

n = 16

Therefore the number of 4¢ stamps is 16, while that of the 5¢ stamps is 7.

For more clarifications on the simultaneous equations, visit: https://brainly.com/question/15165519

#SPJ 1

Answer:

C

Step-by-step explanation:

32/sqrt(2) = 32sqrt(2)/2 = 16sqrt2

Answer:

C.

Step-by-step explanation:

It is a right triangle with hypotenuse c = 12, also for having two equal angles is an isosceles triangle, the missing sides (catethus) are equal (a and b)
a = b = the legs

Apply the Pythagorean theorem

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

[tex]a^{2} =\frac{c^{2} }{2}=\frac{(32)^{2} }{2} =512[/tex]

[tex]a=\sqrt{512} =\sqrt{256(2)} =16\sqrt{2}[/tex]

Hope this helps

The coordinates of the center is at (1, 0) and the length of the radius is 4 units.

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard form of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius.

The coordinates of the center is at (1, 0) and the length of the radius is 4 units.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

2y - 100

Step-by-step explanation:

Last year's income = y

2y-100

The value of the greater integer which is the next consecutive odd integer is; -1.

By observation, it follows that the first integer can be represented by 2x+1 while the next consecutive odd integer can be represented as 2x+3.

Hence, it follows that we have;

2(2x+3) - 2x - 1 = 1

4x +6 -2x - 1 = 1

2x = -4

x = -2.

Consequently, the value of the next consecutive greater integer is; 2(-2) + 3= -1.

It consequently follows from the computations above that the value of the greater odd integer is; -1.

Read more on word problems;

https://brainly.com/question/1781657

#SPJ1

Given that the length ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).

According to the statement we know that the radius ratio between two circles. Given that the area of the circle is directly proportional to the square of its radius, then the area ratio is shown below:

A ∝ r²

A = k · r²

A' · r² = A · r'²

A' / A = r'² / r²

A' / A = (r' / r)²

A' / A = [(2 · x) / (5 · y)]²

A' / A = (4 · x²) / (25 · y²)

Given that the length ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).

To learn more on ratios: https://brainly.com/question/13419413

#SPJ1

The price of a mansion is $1.00 in 2013.

What is difference between a nominal and real variable?

Nominal variables are expressed in money or dollar terms, whereas the real variable compares the wage earned per hour to the basket of goods or services that it can purchase.

In comparing the wage earned per hour to 2 comic books, since the two would cost $12,that explains real variable, which is not required in this case.

However, comparing the the wage of $12 per hour to the price of mansion, which is $1 per one, indicates nominal variable.

In essence, the correct option in this case is that price of a mansion is $1.00 in the year 2013.

Find out more about nominal variable on:https://brainly.com/question/13487579

#SPJ1

The system of inequalities y < -x+4 and y >-x 2 do not have a solution

Inequalities are expressions that have unequal values when compared or evaluated

The system of inequalities is given as

y < -x+4

y >-x 2

Next, we plot the inequalities on a graphing tool

See attachment for the graph

From the attached graph, the lines of the inequalities do not intersect

This means that the system of inequalities do not have a solution

Hence, the system of inequalities y < -x+4 and y >-x 2 do not have a solution

Read more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

Answer:

16

Step-by-step explanation:

Mean is same as average. To find the average, add all items and divide the sum by the number of items in the list.

Avg = (13 + 7 + 8 + 4) / 2 = 32 / 2 = 16

Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

To find the mean you first need to add all numbers and divide by how many there are :

  [tex]\sf{\dfrac{13+7+8+4}{4}}[/tex]

⨠ simplify

[tex]\sf{\dfrac{32}{4}}[/tex]

[tex]\boxed{\sf 8}[/tex]                                                                                              [tex]\tiny\pmb{\sf{Frozen \ melody}}[/tex]

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

Answer:

15. 4400 yards

16. 47.4 seconds

Step-by-step explanation:

15. 1 mile = 1760 yards

2.5 miles:

2.5(1760) = 4400 yards

16. t = 2.5/190 = 0.013150 h

1 hour = (60)(60) = 3600 seconds

Then 1 lap take

=(0.013150)(3600) = 47.4 seconds

Hope this helps

Answer:

exact: SA = 260π in.²

approximate: SA = 816.81 in.²

Step-by-step explanation:

SA = 2πr² + 2πrh

r = 10 in.

h = 3 in.

SA = 2πr(r + h)

SA = 2π(10 in.)(10 in. + 3 in.)

SA = 260π in.²

SA = 816.81 in.²

The shapes that have less than 3 lines of symmetry are Isosceles trapezoid and Isosceles triangle

The shapes are given as:

The lines of symmetry are the lines that, when the shape is rotated through this line, the shape remains the same

As a general rule:

An Isosceles trapezoid and an Isosceles triangle have two lines of symmetry

Hence, the shapes that have less than 3 lines of symmetry are Isosceles trapezoid and Isosceles triangle

Read more about lines of symmetry  at

https://brainly.com/question/1460991

#SPJ1

Using continuous compounding, it is found that the value of r is of r = 7.7%.

The amount of money after t years in continuous compounding is:

[tex]P(t) = P(0)e^{rt}[/tex]

In which:

The doubling time of 9 years means that P(9) = 2P(0), which is used to find r, hence:

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]2P(0) = P(0)e^{9r}[/tex]

[tex]e^{9r} = 2[/tex]

[tex]\ln{e^{9r}} = \ln{2}[/tex]

[tex]9r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{9}[/tex]

r = 0.077.

r = 7.7%.

More can be learned about continuous compounding at https://brainly.com/question/24722580

#SPJ1

The amount invested in the first account is $1,500 and $6,500 was invested in the second account.

What is simple interest?

Simple interest is determined as the principal multiplied by the interest rate ,then multiplied by the duration of the investment.

The formula for simple interest on an investment is as shown below:

I=PRT

P=principal=$8,000

R=interest rates= 1% and 6%

T=duration of investment=1 year

Let assume that X was invested at 1% and that the remaining of $8000-X is invested at 6%.

Interest on the first account=X*1%*1

Interest on the first account=0.01X

Interest on second account=($8000-X)*6%*1

Interest on second account=480-0.06X

Total interest=0.01X+480-0.06X

Total interest=480-0.05X

Total interest=$405

405=480-0.05X

0.05X=480-405

0.05X=75

X=75/0.05

X=amount invested in the first account=$1,500

Amount invested in the second account=$8000-X

Amount invested in the second account=$8,000-$1,500

Amount invested in the second account=$6,500

Find out more about simple interest on:https://brainly.com/question/1115815

#SPJ1

Answer:

  c = 2.25

Step-by-step explanation:

The normal distribution function is symmetrical, so the area not in the central zone is split evenly between the lower and upper tails.

We can find -c from ...

  P(x < -c) = (1 - 0.9756)/2 . . . . .  the area in the lower tail

The calculator tells us -c = -2.25.

  c = 2.25

Answer:

4900

That is your answer..........

The number of ways the program can be arranged for this segment is 8, 648, 640 ways

It is important to note that the formula for finding the permutation or arrangement of a set of dats is given as;

Permutation = [tex]\frac{n!}{(n-r)!}[/tex]

where

Let's substitute the values into the formula for permutation, we have

Permutation = [tex]\frac{13!}{13 - 7!}[/tex]

Find the difference of the denominator

Permutation = [tex]\frac{13!}{6!}[/tex]

Find the factorial of the values

Permutation = [tex]\frac{6,227,020,800}{720}[/tex]

Divide the numerator by the denominator

Permutation = 8, 648, 640 ways

Thus, the number of ways the program can be arranged for this segment is 8, 648, 640 ways

Learn more about permutation here:

https://brainly.com/question/12468032

#SPJ1

Answer:

calcium =1x40=40

chlorine=2x35=70

40+70=110

ca=40/110×100=36.36

when we approximate it become 36.4

thanks