select the measures that are equal Mark all that apply A 6 feetB 15 yardsC 45 feetD 600 inchesE 12 feetF 540 inches

The starting price of a hotem room is $48.00.

After 1 year, this price increases by 5.1%, meaning it's increased by a factor of 1.051 or 1 + 0.051:

$48.00 (1 + 0.051) ≈ $50.45

After another year, this price increases by another 5.1%, so the previous amount is increased by a factor of 1.051, which is equivalent to 1.051² times the initial price:

$50.45 (1 + 0.051) = $48.00 (1 + 0.051)² ≈ $53.02

After another year, another increase:

$53.02 (1 + 0.051) = $48.00 (1 + 0.051)³ ≈ $55.72

And so on. You should start to see where the given formula comes from,

\(y = a(1+r)^t\)

where a = $48.00 is the starting price, r = 0.051 is the rate at which the price increases, and t is number of years.

Then in 32 years, the price of the room will be

$48.00 (1 + 0.051)³² ≈ $235.79

Answer:

4,000

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

4 is in thousands place value; therefore, the digit 4 represents the number 4,000 in the number 84,230.

Hope this helped you out...have an amazing day! :)

Answer:it can very

Step-by-step explanation:

It depends on which definition of 'whole numbers' you use.

Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.

However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.

Answer:

every natural number is a whole number, but, every whole number is not a natural number.

Step-by-step explanation:

Answer:

3 bookcases

Step-by-step explanation:

The distance that the plane flies between the two cities is 2475 miles.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Time taken = distance covered / velocity

In the first case ;

Time taken = 5 hour.

Velocity = V(Let's say)

Distance covered = x

So,

5 = x/V

x = 5V

Now,

In the second case ;

Velocity = V - 99 (99 slower to first)

Time taken =  6 hours and 15 minutes = 6.25 hour

Distance covered = x

So,

6.25 = x/(V - 99)

x = 6.25V - 618.75

By equating

6.25V - 618.75 = 5V

1.25V = 618.75

V = 495 miles / hour

Now,

x = 5(495) = 2475 miles.

Hence "The distance that the plane flies between the two cities is 2475 miles".

To learn more about velocity,

brainly.com/question/18084516

#SPJ1

The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

What in mathematics is a quadrilateral?

A quadrilateral, a two-dimensional shape, is made up of four sides, four vertices, and four angles. The most prevalent shapes are concave and convex. Also included in the list of convex quadrilateral subgroups are trapezoids, parallelograms, rectangles, rhombuses, and squares.

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

Learn more about quadrilateral

brainly.com/question/29934440

#SPJ1

Pretest-posttest experimental designs are common is true for the t-test for dependent means rather than t-tests in general.

The correct answer is option B.

The use of pretest-posttest designs extends the posttest alone design with nonequivalent groups, one of the most fundamental methods for assessing the effectiveness of an intervention. One group in this two-group design undergoes therapy, and the final results are produced for the other group.

In conclusion, quasi-experimental design has long been a popular research methodology. An intervention that has been delivered to a group of study participants may be easily evaluated using pre-test and post-test designs, a sort of quasi-experimental research. A pretest is an assessment tool used by study participants before they get any form of therapy. Participants in a study are given a posttest, which is an evaluation tool, following their participation in the study.

Learn more about Pretest-posttest at

https://brainly.com/question/14245286?referrer=searchResults

#SPJ4

The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:

πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:

A = (πr^2)/2 + rh

To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:

r = (9 - 2h)/(π)

Now we can rewrite the area function in terms of h only:

A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)

Simplifying this equation, we get:

A = (1/2)(9h - h^2/π)

To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:

dA/dh = 9/2 - h/π = 0

Solving this equation, we find:h = 9π/2

Substituting this value of h back into the area function, we get:

A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4

Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

Learn more about area here:

https://brainly.com/question/2607596

#SPJ8

Answer:

8

Step-by-step explanation:

Because its a 2,2

Answer:

The mode (value that occurs the most) is 7, and the dot plot is skewed to the left. A possible situation for this dot plot is the time students need to complete their homework.

Step-by-step explanation:

The hours represents how  much time that each student spends.

Answer:

This plot graph shows a sudden increase in some variables. Then it fell. This could represent the Wall Street Stock Market Crash of October 28, 1929. I hope this helped.

Step-by-step explanation:

Step-by-step explanation:

estabien lo que pusiste bien

The measure of angle D is 45°

Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.

And also the ratio of corresponding sides of similar triangles are equal.

To know the corresponding angles

side AC is corresponding to side EF, therefore angle D is congruent to angle A

angle D = 45°

OR , we can use the sum of angles In a triangle , which is 180°

angle D = 180 -( 72+63)

= 180 - 135

= 45°

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer:

75 percent

Step-by-step explanation:

see the thing is

The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Number of ways to choose 5 sedimentary from 7  sedimentary is,

\(^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21\)

There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,

\(^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649\)

Thus, the probability that exactly 5 are sedimentary is,

\(P=\dfrac{21}{33649}\)

Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

Learn more about the combination here;

https://brainly.com/question/17139330

#SPJ2

The percent of the baked foods that are cakes will be 25.33%

It should be noted that a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %. In this situation, the bakery produces 280 loaves of bread and 95 cakes daily.

The percent of the baked foods that are cakes will be:

= Number of cakes / Number produced daily × 100

= 95 / (280 + 95) × 100

= 95 / 375 × 100

= 25.33%

Learn more about percentages on:

https://brainly.com/question/24877689

#SPJ1

Answer:A

Step-by-step explanation:

She has to pay 7.50 for admission and golf is 6.25 each round. We don’t know how many rounds she golfs so it will be 6.25x.

Answer:

BC=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

144 in = 144 / 12 = 12 ft

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

The value of is 2/11

To determine the value, we have;

Index forms are mathematical forms used to represent numbers or values that are too large or too small in more convenient forms.

From the information given, we have the expression written as;

2⁹ˣ+2 = 16⁵ˣ -2

Put all the terms in one base form, we have;

2⁹ˣ + 2¹ = 2²⁰ˣ - 2¹

equate the exponents, we have;

9x + 1 = 20x - 1

collect the like terms, we have;

9x - 20x = -2

-11x = -2

Make 'x' the subject of formula, we have;

x = 2/11

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ1

The radius of convergence is a-R a+R = 6+12 =18 and 6-12 = -6 for the |6x 12/<78 and diverges if |6x 12| 78.

The set of actual numbers x wherein the collection converges is the c program language period of convergence. If there exists a actual wide variety R such that the collection converges for |x−a|R, then R is the radius of convergence.

The radius of convergence is 1/2 of of the duration of the c program language period of convergence. If the radius of convergence is R then the c program languageperiod of convergence will consist of the open c program languageperiod: (a − R, a + R). To discover the radius of convergence, R, you operate the Ratio Test.

Read more about the radius;

https://brainly.com/question/28308685

#SPJ4

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

learn more on similar triangle here: https://brainly.com/question/29191745

#SPJ1

The average rate of change of 2 represents that for each new skill learned, the time needed to learn the skill doubles.

The variables in this problem are given as follows:

The ordered pairs that represent the data-set in this problem are given as follows:

(1,4), (2,8), (3,16), and (4,32)

When x increases by one, the output y is multiplied by two, hence the data is modeled by an exponential function with a rate of change of two, due to the multiplication, and hence the interpretation is that it's value of 2 represents that for each new skill learned, the time needed to learn the skill doubles.

More can be learned about the average rate of change of a function at https://brainly.com/question/11627203

#SPJ1

The dimensions that will minimize the cost of constructing this box is length = 56in , depth = 0.13in and height = 46.6inch

According to the question,

Volume of Rectangular box = 350 in³

Let Area of base of box = l × b

Let height of box be h

So , V = lbh

=> 350 = lbh

=> h = 350/lb ------------(1)

To Minimize the cost,

Total Area = base area + front lateral Area

Front lateral Area = lh + (2b + l) h

So, Total area =  lb + lh + (2b + l) h

Substituting value of h from equation (1)

=> TA =  lb + l( 350/lb) + (2b + l) (350/lb)

Cost function =>

C = 5lb + 10(350/ b) + 3(2b + l)(350/lb)

Solving,

C = 5lb + 3500/b + 2100/l + 1050/b

=> C =  5lb + 4550/b + 2100/l is required cost function

Now, To minimize the cost

We will differentiate Cost function w.r.t a and b

C' = 5b - 2100/l² = 0 ----------(2)

C' = 5a - 4550/b² =0 -----------(3)

Solving both using substitution method

=> b = 420/l²

=> 5lb² = 4550

=> lb² = 910

=>176400/l³ = 910

=> l³ = 176400/910

=> l = 56 in

putting value of a,

b = 0.13 in

Therefore ,

height =  350 / 7.5

=> h = 46.67 in

To know more about Rectangle here

https://brainly.com/question/29123947

#SPJ4

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

Learn more on angles of depression:https://brainly.com/question/17193804

#SPJ1

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

Learn more about dosage from

https://brainly.com/question/29367085

#SPJ1

Answer:

y= -4

Step-by-step explanation:

To find the value of y when x = 6, we can substitute x = 6 into the equation and solve for y:

4(6) + y = 20

24 + y = 20

y = 20 - 24

y = -4

Therefore, when x = 6, y is equal to -4.

Answer:

2x

Step-by-step explanation:

Complete answer

Answer:

2x

Step-by-step explanation:

Mental math is just better

Answer:

180

Step-by-step explanation:

120 divide by 2

then times by 3