Which hourly interval had the least rate of change?

we have the quadratic equation

we have that

a=1

b=-1

c=-12

Applying the formula to solve a quadratic equation

The values of u are

u=4 and u=-3

therefore

The answer is

Answer:

First subtract 28 by 7.

28 - 7 = 21

Then multiply 28 times 3

28 times 3 is 84

Then finally divide 84 by 21

84/21 = 4

Each of the children would get 4 apples

Step-by-step explanation:

Answer:

944cm²

Step-by-step explanation:

Area = Area of parallelogram + Area of trapezoid

Area of parallelogram= l× b= 16×26= 416cm²

Area of trapezoid= h/2(a+b)

where a=26cm, b=40cm, h=16cm

Area of trapezoid= 16/2(26+40)=8(66)=528cm²

Area= 416+528=944cm²

Answer:

B

Step-by-step explanation:

The graph will shrink horizontally by 1/3 factor so option (B) must be correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given that,

Function = f(x)

Operation = f(3x)

By doing operation inside a function or in a dependent variable, it will cause the shrink of the horizontal aspect of the graph.

So by doing that operation graph will shrink horizontally by a factor of 1/3.

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Answer: you loser i hate you

Explanation: you are a loser for whoever wrote this question

haha

Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.

Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.

Ricardo tarda 5 minutos en dar la vuelta a la manzana.

Rena tarda 6 minutos en dar la vuelta a la manzana.

Digamos que los tres comienzan el viaje desde el mismo punto A.

Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.

Por lo tanto,

Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.

Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.

Todas se reúnen después de 6 minutos en la salida.

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z-score gives us z ≈ -3.9933. We can now find the corresponding probability by looking up this z-score or using a calculator. The probability that a sample of size n = 99 is randomly selected with a mean less than 70.8 is approximately 0.000032.

The probability that a single randomly selected value from the population is less than 70.8 can be calculated using the z-score formula. The z-score is calculated by subtracting the population mean (μ) from the value of interest (70.8), and then dividing the result by the population standard deviation (σ). Plugging in the values for this problem, we have:

z = (70.8 - 73.8) / 74.9

Calculating the z-score gives us z ≈ -0.0401. We can then look up this z-score in the standard normal distribution table or use a calculator to find the corresponding probability. The probability that a single randomly selected value is less than 70.8 is approximately 0.4832.

Now, to find the probability that a sample of size n = 99 is randomly selected with a mean less than 70.8, we need to consider the sampling distribution of the sample mean. Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed. The mean of the sampling distribution will be equal to the population mean (μ = 73.8), and the standard deviation of the sampling distribution (also known as the standard error) can be calculated as σ / √n.

Substituting the given values, the standard error is σ / √99 ≈ 7.4905 / 9.9499 ≈ 0.7516. Now, we can calculate the z-score for the sample mean using the same formula as before:

z = (70.8 - 73.8) / 0.7516

Calculating the z-score gives us z ≈ -3.9933. We can now find the corresponding probability by looking up this z-score or using a calculator. The probability that a sample of size n = 99 is randomly selected with a mean less than 70.8 is approximately 0.000032.

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he

volume

of the parallelepiped is 235 cubic units.

V = |u · (v × w)|

where · represents the dot product and × represents the

cross product

.

First, we need to find the cross product of v and w:

v × w = (i+j+9k) × (i+4j+9k)
     = (36i - 7j - 3k)

Next, we take the dot product of u with the cross product of v and w:

u · (v × w) = (7i+2j+k) · (36i - 7j - 3k)
           = 252 - 14 - 3
           = 235

Finally, we take the absolute value of this result to get the volume:

V = |u · (v × w)| = |235| = 235 cubic units.

Therefore, the volume of the parallelepiped is 235 cubic units.

To find the volume of the

parallelepiped

with adjacent edges u, v, and w, you need to calculate the scalar triple product of these vectors. The scalar triple product is the absolute value of the

determinant

of the matrix formed by the components of the three vectors.

Given vectors:
u = 7i + 2j + k
v = i + j + 9k
w = i + 4j + 9k

Step 1: Write the matrix using the components of u, v, and w:
| 7  2  1 |
| 1  1  9 |
| 1  4  9 |

Step 2: Calculate the determinant of the matrix:
7 * (1 * 9 - 4 * 9) - 2 * (1 * 9 - 1 * 9) + 1 * (1 * 4 - 1 * 1)

Step 3: Simplify the expression:
7 * (9 - 36) - 2 * (9 - 9) + (4 - 1)

Step 4: Calculate the result:
7 * (-27) - 0 + 3

Step 5: Find the absolute value of the result:
|-189 + 3| = |-186| = 186

The volume of the parallelepiped is 186 cubic units.

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The unknown number is 55.Let the unknown number be x. Then, the expression, "the quotient of a number and seven" can be written as x/7.

Now, we are told that "Seven less than the quotient of a number and seven is equal to 46 divided by seven".

This can be written as:

x/7 - 7 = 46/7

To solve for x, we will isolate x by multiplying both sides by 7:

7(x/7 - 7) = 7(46/7)

Simplifying both sides:

x - 49 = 6x

= 55

Therefore, the unknown number is 55.

The term "quotient" is commonly used in mathematics and refers to the result of dividing one quantity by another. It represents the value obtained when a number, called the dividend, is divided by another number, known as the divisor. The quotient can be thought of as the number of times the divisor can evenly fit into the dividend.

For example, if we divide 10 by 2, the dividend is 10, the divisor is 2, and the quotient is 5. This means that 2 can fit into 10 exactly 5 times, with no remainder.

The quotient is an important concept in arithmetic and is used in various mathematical operations such as long division, fraction calculations, and finding averages. It provides a way to express the relative size or proportion between two quantities.

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Answer:

16

Step-by-step explanation:

6 ÷ 3 x 2³

To solve this, we need to use PEMDAS.

We do the exponent first.

6 ÷ 3 x 8

Then multiply and divide from left to right.

2 x 8

16

Answer:16 I hope this helps

Step-by-step explanation:

6 divided by 3 times 2^3

Calculate the quotient
2 times 2^3

Calculate the product you will get

2^4

Write the exponentiation as a multiplication

2 times 2 times 2 times 2 times

Multiply the numbers

This will give you 16 this is your answer

Answer:

B and C

Explanation:

Number of the problems in total = 20

Number that he has finished = 4

So, the number of homework Thomas still needs to complete

=20-4

=16

Expressing this as a percentage, we have:

Therefore, the equivalent of the percentage obtained above are:

SOLUTION:

Step 1:

we are to find the measure of minor arc cut off by one of the diagonals;

The sum of interior angles in a pentagon is:

Each interior angle of a regular pentagon is

So the size of the major arc can be gotten by the circle theorem; the angle at the centre is twice the angle at the circumference.

Then recall,

Step 2:

We are to find the length of the same minor arc in problem;

Where our angle (titan) is 144 and radius is 10

So the length of the minor arc, given that the radius is 10 cm is 8 pi

Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Answer:

3 21 46 5 89 76 45b 75v 23v

Step-by-step explanation:

In a shortest path problem, the right-hand side (RHS) value for the starting node has a value of 0. This indicates that the shortest path from the starting node to itself has a cost of 0.

In summary, the RHS value for the starting node in a shortest path problem is 0, indicating that the shortest path from the starting node to itself has a cost of 0.

The RHS value is used in the context of the Dijkstra's algorithm, which is commonly used to solve shortest path problems. In this algorithm, a priority queue is used to store the nodes that have not yet been visited, sorted based on their tentative distances from the starting node. Initially, the starting node is assigned a tentative distance of 0, indicating that it is the source node for the shortest path. The RHS value is used to update the tentative distance of a node when a shorter path is discovered. When a node is added to the priority queue, its tentative distance is compared to its RHS value, and the smaller of the two values is used as the node's priority in the queue. By setting the RHS value of the starting node to 0, we ensure that the starting node always has the highest priority in the queue and is processed first by the algorithm.

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To find $\sin(a+b)$ when given $a$ in quadrant III and $b$ in quadrant IV, we can use trigonometric identities and the sign conventions of the trigonometric functions.

We are given that $4\tan a=-3$, which means $\tan a=-\frac{3}{4}$. Since $a$ is in quadrant III, we know that $\cos a<0$ and $\sin a<0$. Therefore, we can draw a right triangle in quadrant III with opposite side $-3$, adjacent side $-4$, and hypotenuse $5$. This triangle has $\sin a=-\frac{3}{5}$ and $\cos a=-\frac{4}{5}$.

We are also given that\($\cos b=\frac{4}{5}$\), which means $\sin^2 b=1-\cos^2 \(b=\frac{9}{25}$.\) Since $b$ is in quadrant IV, we know that $\sin b>0$. Therefore, we can draw a right triangle in quadrant IV with opposite side $3$, adjacent side $4$, and hypotenuse $5$. This triangle has $\sin b=\frac{3}{5}$ and $\cos b=\frac{4}{5}$.

Using the angle addition formula for sine, we get:

\(sin⁡(�+�)=sin⁡�cos⁡�+cos⁡�sin⁡�=(−35)(45)+(−45)(35)=−2425\)

sin(a+b)=sinacosb+cosasinb=(−

\(53​ )( 54​ )+(− 54​ )( 53​ )=− 2524​\)

Therefore \(, $\sin(a+b)=-\frac{24}{25}$.\)

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Answer:

\(11\dfrac{3}{5}$ miles\)

Step-by-step explanation:

Miguel ran \(2\dfrac{9}{10}\) miles on Monday.

On Friday, he ran 5 times as far as he did on Monday.

Miles run on Friday

\(=5 X 2\dfrac{9}{10}\)

\(=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles\)

Difference in Number of Miles Run

\(=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles\)

Therefore, Miguel ran \(11\dfrac{3}{5}$ miles\) farther on Friday.

Answer:

y = 1/5x - 5

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope

to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5

b is your y-intercept, aka where the line comes in contact with the y-axis

by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5

therefore your answer is: y = 1/5x - 5

hope this helped!

A system of linear equations with no solution means that the lines never meet. So as long as your two lines have the same slope and different intercepts, they will be parallel.

Ex.) y= 2x + 5

and y=2x + 10

to have a solution, the lines have to cross at a point. so literally any two lines that aren't parallel.

Ex.) y= 3x + 1

to find the solution you start by setting the equations equal to each other

2x + 5 = 3x + 1

1) subtract 2x from both sides

    5= x + 1

2) subtract 1 from both sides

 4 = x

now we know the x value of the point is 4. To find the y value plug 4 into one of the equations

2(4) + 5

8 + 5

13

so the solution to this particular system is (4,13)

Answer:

3$

Step-by-step explanation:

39.80/ 3 =13.2667

3$

Based on the given confidence interval alone, we cannot reasonably claim that model B plane flies farther than model A plane. The interval suggests that there is a range of possible differences, and the true difference could be positive, negative, or even zero.

Based on the given confidence interval for the mean difference in flight distance (B - A), which is -11.08 to 91.08 inches, we can analyze whether it is reasonable to claim that model B plane flies farther than model A plane.

Since the confidence interval includes both positive and negative values, it indicates that the true mean difference in flight distance could be anywhere within that range. In other words, there is uncertainty about the actual difference in flight distance between the two models.

To determine if it is reasonable to claim that model B plane flies farther than model A plane, we can examine if the interval contains only positive values. If the entire interval were above zero, it would strongly suggest that model B plane indeed flies farther. However, since the interval contains both negative and positive values, we cannot make a definitive conclusion.

Based on the given confidence interval alone, we cannot reasonably claim that model B plane flies farther than model A plane. The interval suggests that there is a range of possible differences, and the true difference could be positive, negative, or even zero. Further analysis or additional evidence would be needed to make a conclusive statement.

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Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

Answer:

-5 = -90/18

this will be your answer my friend

Answer:

hosta = $5 each

geranium = $2 each

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

Leas's cost: 11 h + 7 g = 69

Elisa’s cost: 10h + 7g = 64

Where h is the price of one hosta and g is the price of one geranium.

Subtracting Elisa's cost to Leas's cost:

11 h + 7 g = 69

-

10h + 7g = 64

____________

h = $5

Replacing h in one equation:

11 (5) + 7 g = 69

55 +7g =69

7g = 69-55

7g= 14

g= 14/7

g= $2

Answer:

She earns 10 dollars per hour.

Step-by-step explanation:

They substituted h for the amount of hours, since it is unknown. And you can see 10 is multiplied with h. So that is how much she earns an hour.

Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

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Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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