A moving company charges a flat rate of $150, and an additional $5 for each box. if a taxi service would charge no flat rate and $15 for each box, how many boxes would you need for it to be cheaper to use the moving company? (do not label your answer)

The quadratic function for the value of David's investment indicates;

(i) $45,000

(ii) 9.375 months

A quadratic function is a function that can be expressed in the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The model of the value of the investment in the bank obtained from the amount of his retirement funds David invested in the bank can be presented as follows;

a = 45 + 75·t - 4·t²

Where;

a = The value of the investment in thousand of dollars after t months

t = The number of months of the investment

(i) The initial amount David invested can be found by plugging in t = 0, in the function for the amount David invested in the bank, as follows;

a = 45 + 75 × 0 - 4 × 0² = 45

The initial amount David invested is; a = $45,000

(ii) The number of months it takes for David investment to reach a maximum value can be found from the quadratic function as follows;

The number of months t(max) at the maximum amount is; t(max) = -75/(2 × (-4)) = 9.375

Therefore, it will take 9.375 months for David's investment to reach a maximum value

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For the given set of marbles at random draw 3 marbles without replacement then the probability of withdrawing all marbles are red is equal to 0.0545 and none of the given marbles are red is equal to 0.2378.

As given in the question,

Total number of marbles in a bag = 9 red + 6 white + 7 blue

                                                     = 22 marbles

Number of marbles drawn from a bag without replacement = 3

Probability of all the three marbles are red without replacement :

First marble is red = 9 /22

Second marble is red = 8 /21

Third marble is red = 7/20

Required probability of all marbles are red

= (9/22) (8/21)(7/20)

= 504/ 9240

= 0.0545 (round off to 4 decimals)

Probability of all the three marbles are not red without replacement :

First marble is not red =(1- 9 /22)

                             = 13/22

Second marble is not red = 1- (8 /21)

                                        = 13/21

Third marble is not red = 1- (7/20)

                                    = 13/20

Required probability of all marbles are not red

= (13/22) (13/21)(13/20)

= 2197/ 9240

= 0.2378 (round off to 4 decimals)

Therefore, for the given set of marbles at random draw 3 marbles without replacement then the probability of withdrawing all marbles are red is equal to 0.0545 and none of the given marbles are red is equal to 0.2378.

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Answer:

as tye given pair is Alternate Interior Angle...but the value of x is not 4.5

but u can go with option A as it is the only one with alternate interior angle!

Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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The balance in the account after 13 years is $8233.79.

From the question, we are to use the compound interest formula to compute the balance in the account

From the compound interest formula, we have that

A = P(1 + r/n)^nt

Where A is the amount

P is the principal

r is the interest rate

n is the number of times compounded per year

and t is the time.

From the given information,

P = $7000

r = 3.3%= 0.033

n = 1

t = 13

Putting the parameters into the formula

A = P(1 + r/n)^nt

A = 7000(1 + 0.033/1)^(1×5)

A = 7000(1 + 0.033)^5

A = $8233.79

Hence, the balance is $8233.79

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Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

1. you mean find the angle at A, yes ?

180 = angle A + angle B + angle C =

= angle A + 38 + 90

angle A = 180 - 38 - 90 = 90 - 38 = 52°

2. Pythagoras

AB² = 11² + 8.5² = 121 + 72.25 = 193.25

AB = 13.90143877... in

3. sine/cosine ratio is tangent.

sin(38) × AB = 8.5 in

cos(38) × AB = 11 in

sin(38)/cos(38) = tan(38) = 8.5/11 = 0.772727272...

sin(52) × AB = 11 in

cos(52) × AB = 8.5 in

sin(52)/cos(52) = tan(52) = 11/8.5 = 1.294117647...

4. they are equal. as sin(x) = cos(90-x).

5. they are equal. as cos(x) = sin(90-x).

6. 90°. again, the sum of all angles must be 180°. so, when one angle is all by itself already 90°, then there are only 90° left for the other 2 angles.

7. not sure what you mean by "kissing angles" but

a. sin(40°) = cos(90-40) = cos(50°) = 0.64278761...

b. cos(27°) = sin(90-27) = sin(63°) = 0.891006524...

c. sin(90°) = cos(90-90) = cos(0°) = 1

d. cos(65°) = sin(90 - 65) = sin(25°) = 0.422618262...

Answer:

2.14

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

hope this helps

Plz mark brainliest :)

The statement p-value .015 significant at the .05 level οf significance is cοrrect.

The prοbability value, οr p value, indicates the likelihοοd that yοur data cοuld have been true under the null hypοthesis. This is accοmplished by estimating the prοbability οf yοur test statistic, which is the figure οbtained frοm a statistical analysis οf yοur data.

Here we knοw that When the p-value is less than 0.05, the null hypοthesis that there is nο difference between the means is rejected, and we cοme tο the cοnclusiοn that there is a significant difference. The presence οf a significant difference cannοt be inferred if the p-value is greater than 0.05.

The given p-value =0.015

Since p value  0.015 < 0.05 significance level , sο result is significant at 5% level.

Hence the given statement is cοrrect.

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Answer: y

Step-by-step explanation:

For this, you would just add everything and then tag a y on the end.

3y-10y=-7y

-7y+y= -6y (y is the same thing as 1y)

-6y+7y= 1y which is just y

It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:

5x+2x+3y+5y

the answer would be 7x+8y (you cannot combine x and y)

Hope this helps :)

Answer: y

Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.

Answer:

V = 1/3 * π * r^2 * h OR V = π * r^2 * h/3

Step-by-step explanation:

hope it will help you dear

you told only formula if you need derevation then say :)

Answer:

The rate of change, I believe, based on what you have given us in terms of information, would be 2.5. Because Jasper would eat 2.5 tacos per minute; thus, the rate would increase by 2.5 each time.

And for the second part, you would simply multiply 2.5 by 9 to get 22.5. Jasper would eat 22.5 tacos in 9 minutes.

Step-by-step explanation:

Angles in a triangle add to \(180^{\circ}\).

\(\angle B=180^{\circ}-115.5^{\circ}-27.2^{\circ} \longrightarrow \boxed{\angle B=37.3^{\circ}}\)

Using the Law of Sines:

\(\frac{AC}{\sin 37.3^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{AC=\frac{76\sin 37.3^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}\)

\(\frac{BC}{\sin 27.2^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{BC=\frac{76\sin 27.2^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}\)

sin(A) / a = sin(B) / b = sin(C) / c

where A, B, and C are the angles of the triangle, and a, b, and c are the lengths of the sides opposite those angles.

Answer:

b, only b

y = -3 has zero slope.

Step-by-step explanation:

Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.

Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.

Only choice b has zero slope.

Answer:

12.85, 12.86, 12.87, 12.88, 12.89, 12.90, 12.91, 12.92, 12.93, and 12.94

Step-by-step explanation:

there is none

Answer:

cpctc and aas

Step-by-step explanation:

If u look at it there is only 2 angles and one side (aas) and cpctc because it saying that since we know it congruent then we know that ab is equal to cb

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

11 5/18 ft squared

Step-by-step explanation:

because the floor is probably a rectangle, we can use the area formula to find the area of the carpet. the formula is

A = Length × Width

so now we plug in the numbers.

A = (4 5/6) × (2 1/3)

I'm going to simplify the numbers into an improper fraction because the numbers are in a mixed fraction format and I simply dislike it.

A = (29/6) × (7/3)

A = 203/18 ft squared

In the answer section, the numbers look different because I converted my 203/18 into a mixed number.

A = 203/18 = 11 5/18 ft squared

Answer:

84

Step-by-step explanation:

You need to figure out 7 times what gets you 42

6 x 7 = 42

then you do the same for 14

14 x 6 = 84

sorry if this wasn't a good explanation

Answer:

75%

Step-by-step explanation:

To find the percent decrease, use the percent change formula:

(difference / original) x 100

8 - 2 = 6, so the difference is 6.

Plug in the difference and original:

(6 / 8) x 100

= 75

So, the percent decrease is 75%

The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Cash price to the buyer, if he pays by cash:

The cash price would be 10% less than the retail price of $4,500:

Cash price = $4,500 - (10% * $4,500)

Cash price = $4,500 - $450

Cash price = $4,050

Amount payable:

If the buyer chooses to purchase the TV on higher purchase, the amount payable would be the sum of the down payment and the total amount of monthly installments:

Amount payable = Down payment + (24 * Monthly installment)

Amount payable = $675 + (24 * $212.50)

Amount payable = $5,175

Outstanding balance:

The outstanding balance would be the difference between the amount payable and the down payment:

Outstanding balance = Amount payable - Down payment

Outstanding balance = $5,175 - $675

Outstanding balance = $4,500

Hire purchase price:

The hire purchase price would be the sum of the down payment and the outstanding balance:

Hire purchase price = Down payment + Outstanding balance

Hire purchase price = $675 + $4,500

Hire purchase price = $5,175

Interest:

The interest charged on the hire purchase would be the difference between the hire purchase price and the cash price:

Interest = Hire purchase price - Cash price

Interest = $5,175 - $4,050

Interest = $1,125

Difference between the hire purchase and the cash price:

The difference between the hire purchase price and the cash price would be the interest charged:

Difference = Interest

Difference = $1,125

Percentage interest charged:

To calculate the percentage interest charged, we can divide the interest by the hire purchase price and multiply by 100:

Percentage interest charged = (Interest / Hire purchase price) * 100

Percentage interest charged = ($1,125 / $5,175) * 100

Percentage interest charged = 21.74%

Therefore, the cash price to the buyer is $4,050, the amount payable is $5,175, the outstanding balance is $4,500, the hire purchase price is $5,175, the interest charged is $1,125, the difference between the hire purchase and the cash price is $1,125, and the percentage interest charged is 21.74%.

Answer:

$308

Step-by-step explanation:

First, you have to find out how much it costs per pound, so you would divide 231 by 21. each pound of potatoes costs $11. so 11 x 28 would make it $308.

Answer:

$308

Step-by-step explanation:

$231/ 21lbs= $11 per pound

so, $11 x 28lbs = $308

Answer:

O True

Step-by-step explanation:

Unit rate of essays/minute:

40 minutes / 5 essays = 8 essays/minute

256 essays / 32 minutes = 8 essays/minute

The unit rates are equal.

Answer: O True

The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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Answer: 0.000

Step-by-step explanation:

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.