Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is

Answer:

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

x+y=coin

so you take the

i stream on twitch my twtich is micahcoolboy123

i play fortnite save the world and give free guns

Answer: The answer is 4.

Step-by-step explanation: You'll need to simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers: \(4^{3}=64\).

We have that the equation given by the Option A is:

y = 2x + 10

and the Option B equation is:

y = 3x

If we graph them, we will obtain the following figure:

The cost is the same when the two line intercept each other. Their interception at the tenth ride

When this happens the cost is $30

Answer: the total cost of both options is the same at the tenth ride

We have that the cheapest plan is always given by the line below.

Before the tenth ride:

the cheapest plan is the Plan B

After the tenth ride:

the cheapest plan is the Plan A

Since Plan A will be the cheaper in the future after Ride number 10, we can say that the cheapest plan is Plan B

Step-by-step explanation:

we plug in 0 for x in the equation hence

A = 1

we plug in 2 for x in the equation to find B

hence B = 5

Therefore, on average, a customer arriving during the morning rush would wait approximately 2.17 hours to be served.

To determine the average waiting time for a customer arriving during the morning rush at the coffee shop, we need to consider the arrival rate and the capacity of the shop.

Given that 100 customers per hour arrive at the coffee shop during the two-hour morning rush, and the shop has a capacity of 80 customers per hour, we can conclude that there will be more customers arriving than the shop can accommodate.

To calculate the average waiting time, we need to account for the time spent by customers who have to wait due to the shop being at full capacity. For simplicity, let's assume that customers arrive uniformly throughout the two-hour period.

During the first hour (8 a.m. to 9 a.m.), there will be 100 customers arriving, but the shop can only serve 80 customers. Therefore, 20 customers will have to wait for their turn to be served.

During the second hour (9 a.m. to 10 a.m.), again, 100 customers will arrive, but since the shop is already at full capacity, all 100 customers will have to wait for their turn.

In total, during the two-hour morning rush, there will be 20 customers who wait for one hour and 100 customers who wait for the entire two hours.

To calculate the average waiting time, we can sum up the waiting times and divide by the total number of customers:

Average waiting time = (20 * 1 hour + 100 * 2 hours) / (20 + 100) = (20 + 200) / 120 = 2.17 hours

To know more about morning rush,

https://brainly.com/question/22236958

#SPJ11

The water level is rising at a rate of approximately 1.86 centimeters per second when the water is 3 centimeters deep.

To calculate the rate at which the water level is rising, we need to use the related rates concept and differentiate the volume formula with respect to time. The volume of a cone is given by the formula V = \(\frac{1}{3}\pi r^2h\), where V is the volume, r is the radius of the base, and h is the height.

We are given the following information:

The water is pouring into the tank at a rate of 14 cubic centimeters per second, so\(\frac{dV}{dt}\) = 14.

The height of the tank is 10 centimeters, so h = 10.

The radius of the base is 2 centimeters, so r = 2.

Now, we can differentiate the volume formula with respect to time:

\(\frac{dV}{dt} = \frac{1}{3}\pi(2r)\frac{dh}{dt}\)

Substituting the given values, we have:

\(14 = \frac{1}{3}\pi(2\cdot2)\left(\frac{dh}{dt}\right)\)

Simplifying the equation:

\(14 = \frac{4}{3}\pi\left(\frac{dh}{dt}\right)\)

Now, we can solve for dh/dt:

\(\frac{{dh}}{{dt}} = \frac{{14 \cdot 3}}{{4\pi}} \approx 1.86 , \text{cm/s}\)

Therefore, the water level is rising at a rate of approximately 1.86 centimeters per second when the water is 3 centimeters deep.

Learn more about volume here:

https://brainly.com/question/32027547

#SPJ11

Answer:

divide it into a triangle and a segment then use Pythagoras thereom

Simplifying the expression, we can find the time it will take for the newer pump to drain the pool on its own.

If two pumps can drain a pool together in a certain number of hours and it takes the older pump a certain number of hours to drain the pool alone, we can determine how long it will take the newer pump to drain the pool on its own.

Let's assume that the older pump can drain the pool alone in x hours. The rate of the older pump is 1/x of the pool drained per hour. If two pumps can drain the pool together in y hours, their combined rate is 1/y of the pool drained per hour.

Now, to find the rate of the newer pump, we subtract the rate of the older pump from the combined rate of both pumps:

1/y - 1/x = 1/t

Here, t represents the time it would take for the newer pump to drain the pool on its own. By rearranging the equation, we can solve for t:

1/t = 1/y - 1/x

To find t, we can take the reciprocal of both sides of the equation:

t = 1 / (1/y - 1/x)

to learn more about equation click here:

brainly.com/question/29174899

#SPJ11

Answer:

the value of x is 17

Step-by-step explanation:

7x-32+5x-27=9x-8{sum of 2 interior angles of a triangle is equal to the sum of exterior angle}

therefore x=17

Answer:

x = 17°

Step-by-step explanation:

Hello!

Angle KLM is an exterior angle of Triangle JKL. An exterior angle's measure is equal to the sum of the two remote interior angles.

The two remote interior angles are Angle K and Angle J. We can solve for x by setting up an equation: (7x - 32) + (5x - 27) = (9x - 8)

The value of x is 17°.

Answer:

move 50x on to the other side then move 500 to the other side too so that it reads 25x-50x *sign*250-500

Step-by-step explanation:

-25x*sign*-250 divide both sides by 25so answer x*sign*100

Answer:

k = -18

Step-by-step explanation:

When solving equations, the most important rule to keep in mind is that what you do to one side, you have to do to the other to keep the equation true.

We have: k/6 + 8 = 5

Our goal is to isolate the variable k.

This means we want to move all the numbers to one side, and leave k alone on the other side.

When solving this, you should look at the operation and do the inverse of that. (Subtract the value if its addition, add if its subtraction, multiply if its division, and divide if its multiplication)

k/6 + 8 = 5

We can start by subtracting 8 from both sides to cancel out the 8. (Reverse the addition)

k/6 + 8 - 8 = 5 - 8

k/6  = -3

Next, we can multiply both sides by 6 to isolate k. (Reverse the division)

k/6 * 6 = -3 * 6

k = -18

With that, we have our final answer.

Let me know if you have any questions!

Answer:

x = 7°

Step-by-step explanation:

Using the exterior angle theorem (the sum of the two opposite angles in the triangle equals the exterior angle)

Solve:

The value of x = 7

There is a picture attached for this problem.

-Chetan K

If a coccus (a spherical bacteria) divides along two perpendicular planes and four cells remain attached together, it is called a tetrad. Therefore, the correct answer is A. tetrad.

A. Tetrad: A tetrad refers to a group of four cells resulting from the division of a single bacterium along two perpendicular planes. This arrangement forms a square or cube-like structure where the four cells remain attached together. Tetrads are commonly observed in certain bacteria, such as the genus Micrococcus.

B. Sarcina: Sarcina is a term used to describe a specific arrangement of cocci bacteria. In this arrangement, cocci divide along three perpendicular planes, resulting in packets of eight cells. Each packet resembles a cube-like structure composed of eight cells tightly attached together. Sarcinae are commonly observed in the genus Sarcina.

C. Staphylococcus: Staphylococcus refers to a genus of bacteria that are spherical (cocci) in shape. However, staphylococci typically divide randomly in multiple planes and form irregular clusters or grape-like arrangements rather than specific patterns like tetrads or sarcinae.

D. Streptococcus: Streptococcus is another genus of bacteria that are spherical (cocci) in shape. However, streptococci typically divide along a single axis and form chains or pairs rather than specific patterns like tetrads or sarcinae.

Considering the given scenario where a coccus divides along two perpendicular planes and four cells remain attached together, the correct term to describe this arrangement is A. tetrad.

Learn more about perpendicular planes here:

https://brainly.com/question/32163454

#SPJ11

The term for a coccus bacterium dividing along two distinct perpendicular planes, resulting in four attached cells, is a 'tetrad'. This is different than 'sarcina', which is a genus of bacteria known for this behavior, and 'staphylococcus' and 'streptococcus', which are other forms of bacterial groupings.

When a coccus bacterium divides in two distinct perpendicular planes resulting in four cells that remain adhered together, it forms a particular structure called a tetrad. This pattern of cell division and grouping is characteristic of some gram-positive bacteria. However, it's important to differentiate here that 'tetrad' just refers to this particular grouping of four cocci bacteria, whereas Sarcina is a genus of bacteria that are known for grouping in this fashion. On the contrary, Staphylococcus and Streptococcus represent other forms of groupings - spherical bacteria arranged in irregular clusters or chains, respectively.

https://brainly.com/question/31823953

#SPJ11

Answer:

B. Cerebellum

Step-by-step explanation:

Answer:

-n+t equal to 6 is the answer to that question

Answer:

There are 15 jars of peppermint candies.Hope this helps!

Answer:

q = 2p - 1/3

Step-by-step explanation:

2q + 2p = 1+5q

2q = 1+5q-2p

-3q=1-2p

-q = 1-2p/3

q= 2p-1/3

Answer:

q=\(\frac{2p-1}{3}\)

Step-by-step explanation:

2(q+p)=1+5q

EXPAND BRACKET

2q+2p=1+5q

MINUS 2q FROM BOTH SIDES

2p=1+3q

MINUS 1 FROM BOTH SIDES

2p-1=3q

DIVIDE BOTH SIDES BY 3

\(\frac{2p-1}{3}\)=q

The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

Learn more about rectangles here;

https://brainly.com/question/15019502

#SPJ1

Answer:

a) 5, 11, 23, 47

b) 2, 7, 17

Step-by-step explanation:

a) 5*2+1=11

11*2+1=23

23*2+1=47

b) 17-3 /2 = 7

7-3 /2 = 2

96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25  is -1234

arithmetic sequence 1, -12, -25, .. .1,−12,−25

an arithmetic sequence can be written as

a , a + d , a + 2d , a + 3d , . . . . . a + (n-1)d

nth tern of an arithmetic sequence is

aₙ= a+ (n-1)d

a= first term of an arithmetic sequence

d = common difference of an arithmetic sequence

n = number of terms in an arithmetic sequence

So in the above arithmetic sequence

a= 1

d= -13

n= 96

a₉₆= 1+ (96-1)(-13)

    =  1- (95)13

    =  1- 1235

    = -1234

96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25  is -1234

To learn more about arithmetic sequence visit , https://brainly.com/question/14702944

#SPJ9

Correct numerical expression is G. 6(18)2 – 27(6)(12).

In mathematics, an expression is a combination of numbers, symbols and operations such as addition, subtraction, multiplication and division that may be evaluated to produce a single number, a variable or a set of numbers.

This expression calculates the number of cubic inches of the box filled with packing material by subtracting the volume of the cylinder from the volume of the cube. The volume of the cube is 6(18)2, and the volume of the cylinder is 27(6)(12). Thus, the number of cubic inches of the box filled with packing material is 6(18)2 – 27(6)(12).

To know more about expression click-

https://brainly.com/question/1859113

#SPJ1

Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).

After, omit step 5 and jump straight to 6.

After this, step 6 is the statement that used to be step 5, which is true by CPCTC.

Then, you can prove the required statement by definition from this.

Answer:

32 ft²

Step-by-step explanation:

Assuming the diagram attached below similar to the one required to complete the question below.

From the diagram,

Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)

A = bh.......................... Equation 1

From the question,

If each 6 in on the scale drawing equals 3 feet

Given:

base on the scale drawing = 8 in.

Actual base(b) = (8×3)/6 = 4 feet.

Height on the scale drawing = 16 in

Actual height(h) = (16×3)/6 = 8 feet.

Substitute these values into equation 1

A = 4×8

A = 32 ft²

Hence the actual area of the shape is 32 ft²

Answer:

Step-by-step explanation:

using a calculator:

the roots are -8 and 14.

the vertex or minimum is (3, -121)

The null hypothesis rejected represents there is evidence the proportion of members engaged in professional networking within last month is different from established percentage.

Using a hypothesis test we have,

Let p be the proportion of employees in the company who engage in professional networking within the last month.

The null hypothesis represents,

The proportion of employees who engage in professional networking within the last month is equal to the established percentage of 55%.

H0: p = 0.55

The alternative hypothesis represents ,

The proportion of employees who engage in professional networking within the last month is different from 55%.

Ha: p ≠ 0.55

Use a two-tailed z-test for the proportion to test this hypothesis, with a significance level of 0.05.

The test statistic is,

z = (p₁ - p) / √(p(1-p)/n)

p₁ is the sample proportion

p is the hypothesized proportion

And n is the sample size.

Here,

p = 0.55

n = 980

p₁ = 500/980

   = 0.51.

Substituting these values, we get,

z = (0.51 - 0.55) / √(0.55(1-0.55)/980)

  = -1.96

The critical values for a two-tailed test with a significance level of 0.05 are ±1.96.

Since the test statistic (-1.96) falls within the critical region.

Reject the null hypothesis

Therefore, there is evidence that the proportion of employees who engage in professional networking within the last month is different from the established percentage of 55%.

learn more about proportion here

brainly.com/question/14260394

#SPJ4

Answer:

she bought 57 books at the yard sale

Answer:

21

Step-by-step explanation:

32+36=68

89-68=21

Mary Bought 21 books over the weekend at the yard sale.

Answer:

has been saving is the correct answer I believe

Answer:

"has been saving" is the right answer.