Is the sequence geometric? If it is, what are a₁ and r ?
a. 2,4,8,16, . . . . . . . . .

The expression 83−7.5t represent C. the volume of water left after t hours.

From the information, each hour, 7.5 liters drain from a large water tank and thee tank initially held 83 liters of water.

Therefore, the expression 83−7.5t represent the volume of water left after t hours.

In conclusion, the correct option is C.

Learn more about expressions on

brainly.com/question/22048677

#SPJ1

Answer:

Step-by-step explanation:

your welcome! <3

Answer:

The volume of a solid hemisphere is 19404 cm3. Its total surface area is. 4158 cm.

Step-by-step explanation:

I hope this will be helpful for you and please like my answer.

The volume of the larger ball the company sells is 220,893.2 cubic centimeters.

If the diameter of the smaller ball is 55 centimeters, and the ratio of the diameters of two different sizes of exercise balls is 15 : 11, then

diameter of larger ball / diameter of smaller ball = 15 : 11

diameter of larger ball = 15 (55 cm) / 11

diameter of larger ball = 75 cm

If the diameter of the larger ball is 75cm, and half of the diameter is the radius, then:

r = D/2

r = 75cm/2

r = 37.5 cm

Solving for the volume of the larger exercise ball using the formula for the volume of the sphere given by:

V = 4/3πr^3

V = 4/3π(37.5 cm)^3

V = 220,893.2335 cubic centimeters

Rounding off to the nearest tenth.

V = 220,893.2 cubic centimeters

To learn more about volume of sphere: https://brainly.com/question/22807400

#SPJ4

The mean number of packages is 19.

It should be noted that mean also means the average of a set of numbers given.

In this case, there are four packages.

The total cards will be:

= 17 + 21 + 22 + 16

= 76

Therefore, the average will be:

= Total cards / Number of package

= 76/4

= 19

Therefore, the mean number of packages is 19.

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

The first package has 17 cards second package has 21 thrid has 22 fourth has 16. What is the mean?

Using proportions, the costs are given as follows:

a) Total Labor Cost: $806,400.

b) Total Product Cost: $225,000.

c) Total Cost = $1,031,400.

d) Cost per home = $137.85.

e) Cost per week = $85,950.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, the labor cost is found using the earnings of the workers, as follows:

12 weeks x 6 days x 10 hours x (12 laborers x 65 per hour + 4 supervisors x 85 per hour).

Hence:

L = 12 x 6 x 10 x (12 x 65 + 4 x 85) = $806,400.

For item b, the product cost is the cost of the turf, hence:

15 pieces x $15,000 per piece

15 x 15,000 = $225,000.

For item c, the total cost is the sum of the product cost and the labor cost, hence:

Total Cost = 806,400 + 225,000 = $1,031,400.

For item d, the cost per home is found dividing the total cost by the 7,482 homes, hence:

Cost per home = 1031400/7482 = $137.85.

For item e, the cost per week is found dividing the total cost by the 12 weeks, hence:

Cost per week = 1031400/12= $85,950.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The radio station awarded all three prizes to the 300th caller.

To estimate the one caller to receive the all three prices, find the LCM of 15, 25 and 100.

LCM of 15, 25 and 100 is as follows;

3     15, 25, 100

----------------------

4      5, 25, 100

-----------------------

5      5, 25, 25

----------------------

5       1, 5, 5

-----------------------

         1, 1, 1

LCM = 3×4×5×5

LCM = 300

Therefore, the radio station will first award all three prizes to the 300th caller.

To know more about the LCM, here

https://brainly.com/question/233244

#SPJ9

The expression that models a profit P the beta club earns for each basket b sold is:

P = 6.50b

or

P = 13b - 6.50b

Given,

The beta club is selling gift baskets to raise funds.

Each basket sells for $13 and costs $6.50 to make.

We need to write an expression to model a profit the beta club earns for each basket b sold.

The profit is given by:

Profit = Selling price - cost price.

We have,

Selling price = $13

Cost price = $6.50

Find the expression for the profit.

The expression can be written as:

P = b ( 13 - 6.50 )

   = 6.50b

or

P = 13b - 6.50b

Where b = number of baskets.

Thus the expression that models a profit P the beta club earns for each basket b sold is:

P = 6.50b

or

P = 13b - 6.50b

Learn more about how to write algebraic expressions to model quantities here:

https://brainly.com/question/618106

#SPJ1

Answer:

2.2

Step-by-step explanation:

10 x a = 22

÷10

a = 2.2

Hope this helps!

By elimination, the solution of the system of equations, 2a + 3b = 12 and 5a - b = 13, is (a , b) = (3 , 2).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in a and b, a variable should be eliminated by adding/subtracting the two equations.

Multiply first equation 2 by 3.

5a - b = 13     (equation 2)

15a - 3b = 39

Adding the two equations will eliminate the variable b.

2a + 3b = 12     (equation 1)

15a - 3b = 39     (equation 2)

17a        = 51

a = 3

Substitute the value of a to any of the two equations and solve for b.

2a + 3b = 12     (equation 1)

2(3) + 3b = 12

3b = 12 - 6

3b = 6

b = 2

Hence, the solution of the system of equations is (a , b) = (3 , 2).

Learn more about solving systems of equations by elimination here: https://brainly.com/question/28405823

#SPJ4

The given polynomial, 6•x² + 12•x + 6, can be factored by rearranging and looking for the common factors to give;

6•x² + 12•x + 6 = 6•(x + 1)²

The given polynomial is presented as follows;

6•x² + 12•x + 6

The coefficients in the terms and the constant have a common factor of 6, which gives;

6•x² + 12•x + 6 = 6•(x² + 2•x + 1)

x² + 2•x + 1 = x² + x + x + 1

x² + x + x + 1 = x•(x + 1) + 1•(x + 1)

x•(x + 1) + 1•(x + 1) = (x + 1)•(x + 1) = (x + 1)²

Therefore;

x² + 2•x + 1 = (x + 1)²

6•(x² + 2•x + 1) = 6•(x + 1)²

6•x² + 12•x + 6 = 6•(x² + 2•x + 1)

Therefore;

Learn more about how to factoring a polynomial here:

https://brainly.com/question/24351176

#SPJ1

The point of intersection of the lines would be (19/20, 3/20) which are the lines y=2x-7/4 and y = 3 - 3x intersect each other.

To determine exactly where the lines y = 2x-7/4 and y = 3 - 3x intersect.

We need to find where both lines are intersect,

Thus, we would be required to equate them

⇒ 2x - 7/4 = 3 - 3x

Rearrange the likewise terms in the above equation,

⇒ 2x + 3x  = 3 + 7/4

Apply the addition operation, and we get

⇒ 5x  = 19/4

⇒ x  = 19/(4)(5)

⇒ x  = 19/20

Substitute the value of x  = 19/20 in the equation y = 3 - 3x, we get

⇒ y = 3 - 3(19/20)

⇒ y = 3 - 57/20

⇒ y = 3/20

Therefore, the point of intersection of the lines would be (19/20, 3/20)

Learn more about the lines here:

https://brainly.com/question/13738061

#SPJ1

Answer:

Step-by-step explanation:

If you are to check carefully you will find that the two angles are lying on a straight line of which is 180°

mathematically

[tex](2t-4)+(5t+2)=180\\2t+5t-4+2=180\\7t-2=180\\7t=180+2\\7t=182\\\frac{7t}{7} =\frac{182}{7} \\t=26[/tex]

Answer:

Step-by-step explanation:

=-4

Step-by-step explanation:

-5(+8-7)

= -5+1

= -4

I hope this answers helps you a lot

Answer:

Expressing in simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find.

Step-by-step explanation:

I think this is the answer you need

please make my answer as brainelist

Answer:

BC = 7

Step-by-step explanation:

Due to the segment addition postulate, AB + BC = AC

Substitute: 12 + BC = 19

BC = 7

hi

area of rectangle is  Length * width  

Length is  :  3 +1/3  so  9/3 +1/3 = 10/3

width  :       5 + 2/3 =   15/3 + 2/3 = 17/3

so   Area =  10/3 * 17/3 =   170/9

Area is 170/9

Answer

Step-by-step explanation:

first we have to multiply length of rectangle and width of rectangle according to it's formula and then change it to improper fraction

I forgot to write the unit at the end of answer which should be yd²

Answer:

no solution

Step-by-step explanation:

- (6x + 6) + 2 = - 6x - 3 ← distribute parenthesis on left side and simplify

- 6x - 6 + 2 = - 6x - 3

- 6x - 4 = - 6x - 3 ( add 4 to both sides )

- 6x = - 6x + 1 ( add 6x to both sides )

0 = 1 ← not possible

this indicates the equation has no solution

Answer:

No Solution, 0 = 1

Step-by-step explanation:

a) Simplify both sides of the equation.

−(6x + 6) + 2 = −6x − 3

−6x+ −6 + 2 = −6x + −3

(−6x) + (−6 + 2) = −6x − 3

−6x + −4 = −6x − 3

−6x − 4 = −6x − 3

b) Add 6x to both sides.

−6x − 4 + 6x = −6x − 3 + 6x

−4 = −3

c) Add 4 to both sides.

−4 + 4 = −3 + 4

0 = 1

Answer:

3 hours

Step-by-step explanation:

Time = distance / rate

.93 miles / 2.2 mile/hr    +   24.8 mile / 18.2 m/hr      +     6.2 mile / 5.1 mile/hr =   3.00 hr

Finally, the total time in which Tiffany will complete the race will be  3 hours.

speed ​​is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.

Given that The race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run.

In training, she can swim at an average pace of 2.2mph. She rides her bike at an average of 18.2mph and runs at 5.1mph.

We know that Time = distance / rate

So, total time=  0.93 miles / 2.2 mile/hr    +   24.8 mile / 18.2 m/hr      +     6.2 mile / 5.1 mile/hr

total time =   3.00 hr

Learn more about speed:

brainly.com/question/15273551

#SPJ2

Answer:

23

Step-by-step explanation:

8+3(4+6)/2

8+3(10)/2

8+30/2

8+15

=23

please give me a brainlist

Answer:

a o espero que te ayude me piedes dar corona

Step-by-step explanation:

1. S

since PS = SQ, S must be exactly in the middle.

2. NQ = 3×PS = 3×3 = 9 cm

we see, NP = PS = SQ. so, NQ = NP + PS + SQ = e.q. 3×PS

3.

not sure what your teacher means.

line segment

line

NPS (as alternative to just NS)

4.

S is an endpoint of SQ.

5.

P is the midpoint of NS.

6.

NS is congruent to PQ.

7.

similar to 3.

line segment

line

SPN (as alternative to just SN)

Each statement :

1) 'S' is the midpoint of PQ.

2)  NQ is 9cm long

3) Another name of NS is the line segment NS.

4) S is an endpoint of SQ.

5) P is the midpoint of NS.

6) NS is congruent to PQ

7) Another name of NS is the line segment NS.

Given, that line segment PS is 3cm long .

1.

'S' is the midpoint of PQ.

since PS = SQ, S must be exactly in the middle.

2.

NP = PS = SQ.

So, NQ = NP + PS + SQ

= 3 × PS

NQ = 3×PS

= 3×3

= 9 cm

Thus NQ is 9cm long .

3.

Another name of NS is the line segment NS.

P is the midpoint of NS.

So, NP = PS

4.

Line segment is starting from point S.

S is an endpoint of SQ.

5.

P is the midpoint of NS.

So, NP = PS

6.

In line segment NS,

NP = PS

In line segment PQ,

PS = SQ

NS is congruent to PQ.

7.

Another name of NS is the line segment NS.

P is the midpoint of NS.

So, NP = PS

Know more about properties of line segment,

https://brainly.com/question/30072605

#SPJ7

Answer:

650 meters

Step-by-step explanation:

Use the pythagorean theorem.

a²+b²=c²2

160²+630²=c²

c²=422500

√422500 = 650

Answer: 2 to 7

Step-by-step explanation:

divide both by three, it's the greatest common factor

The similarity between common difference and common ratio is that both are used to find the next term, but common difference is added while common ratio is multiplied.

Common difference (d) is defined as the difference between consecutive terms in an arithmetic sequence. It is determined by subtracting the term from the preceding term. For example, in an arithmetic sequence 2, 5, 8, 11,…, the common difference is 5-2=3 or 8-5=3.

The sequence will be: a, a+d, a+2d, a+3d,… a+nd.

In the general form:

d=an -an-1, where an is the nth term and an-1 is the preceding term.

Common ratio (r) is defined as the quotient between consecutive terms in a geometric sequence. It is determined by dividing the term by the preceding term. For example, in an geometric sequence 2, 4, 8, 16,…, the common ratio is 4/2=2 or 8/4=2.

The sequence will be: a, ar, ar^2, ar^3,…ar^n.

In the general form:

r=an/an-1, where an is the nth term and an-1 is the preceding term.

Hence, both common difference and common ratio shows relationship between consecutive terms in a sequence. Common difference is added to the term to find the next term while common ratio is multiplied to the term to find the next term.

Learn more about common difference and common ratio:

https://brainly.com/question/27507746

#SPJ4

0<y<8

given,

The y axis has a plot as low as 0.

soo it would be 0.

Then, the highest plot is marked as high as 8.

Therefore its 0<y<8.

a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables

Types of Graphs and Charts;

Bar Chart/Graph.

Pie Chart.

Line Graph or Chart.

Histogram Chart.

Area Chart.

Dot Graph or Plot.

Scatter Plot.

Bubble Chart.

.to know more about graph;

visit;brainly.com/question/17267403

#SPJ9

The range of the graphical function is: 0<y<8

The graph of a function f is the set of ordered pairs, where {f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

Given that

The y axis has a plot as low as 0.

Soo it would be 0.

Then, the highest plot is marked as high as 8.

Therefore its 0<y<8.

Types of Graphs and Charts;

Bar Chart/Graph, Pie Chart, Line Graph or Chart, Histogram Chart, Area Chart, Dot Graph or Plot, Scatter Plot., Bubble Chart.

To know more about graph visit: brainly.com/question/17267403

#SPJ9

The value of the given expression is 4,096/729. Therefore, option A is the correct answer.

The given expression is ((-4/3)²)³.

We need to evaluate the given expression.

A number's exponent indicates how many times the number has been multiplied by itself.

Now, ((-4/3)²)³=((-4/3)×(-4/3))³

=(16/9)³

=(16/9)×(16/9)×(16/9)

=(16×16×16)/(9×9×9)

=4,096/729

The value of the given expression is 4,096/729. Therefore, option A is the correct answer.

To learn more about the exponents visit:

https://brainly.com/question/15993626.

#SPJ1

Answer/Step-by-step explanation:

-4r - 7 + 10r = -7 + 6r

6r - 7 = -7 + 6r

    +7    +7

6r = 6r

This equation is true

All real numbers (-∞, ∞)

I hope this helps!