A truck carrying 9.35 pounds of sand travels to a construction yard and loses 4.6 pounds of sand along the way. How much sand does the truck have when it arrives at the yard?

After rotating the vector (0,2) 270 degrees counterclockwise, we find that the resulting vector, in component form, is (2,0). The rotation was performed using the rotation matrix formula, which involves using trigonometric values for the desired rotation angle.

By applying the formulas and substituting the values, we obtain the new components of the vector. This process allows us to transform the original vector based on the desired rotation angle, providing the resulting vector in component form.

To rotate a vector, we can use the rotation matrix formula:

x' = x * cos(θ) - y * sin(θ)

y' = x * sin(θ) + y * cos(θ)

In this case, we want to rotate the vector (0,2) 270 degrees counterclockwise.

Let's calculate the new x' and y' values using the rotation matrix formula:

x' = 0 * cos(270°) - 2 * sin(270°)

y' = 0 * sin(270°) + 2 * cos(270°)

To simplify the calculations, let's use the trigonometric values for a 270-degree rotation:

cos(270°) = 0

sin(270°) = -1

Substituting these values into the equations, we get:

x' = 0 - 2 * (-1) = 2

y' = 0 + 2 * 0 = 0

Therefore, the resulting vector after rotating (0,2) 270 degrees is (2,0) in component form.

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Answer:

Speed is 12.8km/sec. Jupiter will travel 192km in 15 sec.

Step-by-step explanation:

\(\frac{8mi}{1sec} * \frac{1.6km}{1mi} = 12.8km/sec\)

\(\frac{12.8km}{1sec} * 15sec = 192km\)

Answer:

$13.91

Step-by-step explanation:

$3.09*4.5=13.905

i think 13.905 rounded is 13.91

Answer:  1. Mary Ann has saved $2 more than Carlos

Step-by-step explanation: At 3 hours...

Carlos has $26 according to chart

Mary Ann has...

y=6(3)+10

y=18+10

y=28

so

28-26=2

she has 2 more dollars than him

The difference in their savings after 3 hours of working is option 1. Mary Ann has saved $2 more than Carlos.

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.

Given are two linear functions.

Let x represent the number of hours each person works y represent the total earnings in dollars.

Savings of Mary Ann is represented as,

y = 6x + 10

Savings of Carlos is represented in the graph shown.

After working 3 hours,

Savings of Mary Ann = (6 × 3) + 10 = $28

From the graph,

Savings of Carlos = $26

Difference in the savings = $28 - $26 = $2

Hence Mary Ann has saved $2 more than Carlos.

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Answer:

adjacent interior angle

Step-by-step explanation:

Answer:

(x+2)^2-6

Step-by-step explanation:

(x+2)^2 = x^2 + 4x + 4

x^2 + 4x + 4 -6 = x²+4x-2

Answer:

(x + 2)² - 6

Step-by-step explanation:

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 4x

x² + 2(2)x + 4 - 4 - 2

= (x + 2)² - 6

Answer:

-14 gallon jugs

- 10 half-gallon jugs

Step-by-step explanation:

I'm not an expert at solving these algebraically, so I'm going to do this the old-fashioned way: Guess and Check.

Lets sum up our information:

- He bought 19 gallons

- He bought those 19 gallons with 24 jugs

- There are half-gallon and full gallon jugs

We know that if he bought 24 full gallon jugs, he would have 24 gallons of milk, but he only has 19, so this is not the answer

We know that if he bought 23 full gallons jugs and one half-gallon jug, he would have 23.5 gallons of milk, but he only has 19 gallons of milk, so this is also not the answer.

We keep reducing the number of full gallon jugs and increasing the number of half-gallon jugs until we reach 19 gallons total.

After trying different combinations, we can figure out that he bought

-14 gallon jugs

- 10 half-gallon jugs

The correct answer is A) He measures land features, such as depth and shape, based on reference points.This option accurately describes the role and responsibilities of a chief surveyor.

A chief Surveyor is a professional who possesses unique skills and responsibilities in the field of surveying. There are several options provided, and I will explain each one to help you determine the correct answer.

Option A states that a chief surveyor measures land features, such as depth and shape, based on reference points. They also examine previous land records to verify data collected during on-site surveys. Additionally, they are responsible for preparing maps and reports, as well as presenting the survey results to clients. This option describes the tasks and responsibilities of a surveyor accurately.

Option B describes a professional who works with other engineers and team members in the application of deep foundations and shoring applications. While this is a valid role in engineering, it does not accurately describe the tasks and responsibilities of a chief surveyor.

Option C describes a professional who supervises, reviews, and evaluates the work of a field survey crew. They are responsible for determining exact locations, measurements, and contours. They also organize and prioritize projects, assign work to subordinates, and stake out various structures like retention basins, streets, and utilities. While this option mentions some survey-related tasks, it does not encompass the full range of responsibilities of a chief surveyor.

Option D mentions that a chief surveyor works on both new construction and rehabilitation projects. They provide services to institutional and government clients. However, this option lacks specific details about the tasks and skills of a chief surveyor.

Considering all the options, the correct answer is A) He measures land features, such as depth and shape, based on reference points. He examines previous land records to verify data from on-site surveys. He also prepares maps and reports, and presents results to clients. This option accurately describes the role and responsibilities of a chief surveyor.

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Answer:

199.5

Step-by-step explanation:

i know because I added it up

x-2y=8

Step-by-step explanation:

x=8+2y

The gradient is 2

Answer:

gradient = \(\frac{1}{2}\) , y- intercept = - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c is the y- intercept )

given

x - 2y = 8 ( subtract x from both sides )

- 2y = - x + 8 ( divide through by - 2 )

y = \(\frac{1}{2}\) x - 4 ← in slope- intercept form

with gradient m = \(\frac{1}{2}\) and y- intercept c = - 4

Answer:

y = 2x - 3 is the anwser i think

Answer:

if you need help on 40 the answer is

xy=1

if the number is going throguh the y axis when its parelle.

tell me if im wrong

Answer:

x = -6

Step-by-step explanation:

(2x/3) + 10 = (x/5) + (36/5)

15*[(2x/3) + 10 = (x/5) + (36/5)]   [Multiply both sides by 15 in order to convert the fractions to whole numbers]

(15/3)*2x +15*10 = (15/5)x + (15/5)*36

5*2x + 150 = 3x + 3*36

10x +150 = 3x + 108

7x = -42

x = -6

===

Check:

Does (2x/3) + 10 = (x/5) + (36/5) work for x = -6?

(2(-6)/3) + 10 = (-6/5) + (36/5) ?

-4 + 10 = (30/5) ?

6 = 6  YES

Answer:

8X

Step-by-step explanation:

it says the product, which is multiplication

of a number (lets call it X) and 8

so its 8*X

Answer:

8x

Step-by-step explanation:

it says the product, which is basically multiplication  of a number (which lets call X) and 8

so its 8*X

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                      PEACE!

The required actual number of ways to deal a hand of 5 cards from a regular deck of 52 cards is 2598960.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
In the play, if five cards are drawn from a 52-card deck, the number of ways in which 5 cards can be drawn from the deck is to be determined,

Total number of cards be n = 52
Number of cards drawn r = 5

Number of ways  = nCr = 52C5

Since we know that
nCr = n!/r!(n-r)!

Now, substitute the value of the above expression,
52C5 = 52!/5%(52-5)!

52C5 = 2598960

Thus, the required actual number of ways to deal a hand of 5 cards from a regular deck of 52 cards is 2598960.

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

\(2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2\)

solving the expression

\(2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2\)

as

so the expression becomes

\(5P+8>2\)

subtracting 8 from both sides

\(5P+8-8>2-8\)

\(5P>-6\)

Dividing both sides by 5

\(\frac{5P}{5}>\frac{-6}{5}\)

\(P>-\frac{6}{5}\)

Therefore,

\(2\left(P+1\right)+3\left(P+2\right)>2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:P>-\frac{6}{5}\:\\ \:\mathrm{Decimal:}&\:P>-1.2\\ \:\mathrm{Interval\:Notation:}&\:\left(-\frac{6}{5},\:\infty \:\right)\end{bmatrix}\)

The graph is also attached below.

10 %  is the probabbilty that it is one of the six mew england states.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

              Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Number of states that touch the Pacific Ocean = N(P) = 5

Total Number of States = (Sample Space)= N(s) = 50

Number of Event/Draw = 1

Therefore;

Probability = N(P) /N(s) = 5/50 = 1/10 = 10 %

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Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

The number of yellow tiles that are likely to be in the bag is 5.

The first step is to determine how many times the yellow tile would be picked from the bag: 100 - 24 - 12 - 12 = 52 times

Number of times the yellow tile in the bag = (52/100) x 10 = 5.2 = 5

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The time between buses is 10 minutes and the bus waits at the station for 3 minutes, so the time between the departure of one bus and the departure of the next bus is 10 + 3 = 13 minutes.

Since you arrive at a random time, the time you have to wait for the next bus can be any number from 0 to 13 minutes, with each value between 0 and 13 being equally likely.

The probability that you will have to wait more than 6 minutes to board a bus is the probability that you arrive at the station between 0 and 7 minutes after a bus has left.

This is because if you arrive at the station more than 7 minutes after a bus has left, you will have to wait less than 6 minutes for the next bus to arrival time.

The probability that you arrive at the station between 0 and 7 minutes after a bus has left is 7/13, or approximately 0.538.

Therefore, the probability that you will have to wait more than 6 minutes to board a bus is approximately 0.462 (1 - 0.538).

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Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x

He must work about 25hours to have $1300 total saved

Let the number of hours that he must landscape to have $1300 total saved be x

If Robert has $625 and is earning $33 per hour landscaping, then:

Total earning = $1300

Solve the resulting expression

625 + 33x = 1300

33x = 1300 - 625

33x = 675

x = 625/33

x = 20.45

This shows that he must work about 25hours to have $1300 total saved

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The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

In the given situation the wind on a random day in Bryan  is normally distributed with the following values;

Standard Deviation = ( δ ) = 5.1 mph

A random day of 16 is taken into account for the consideration of Bryan's average value of 19mph.

n = 16

By taking the confidence level of T - Factor, we get the;

At a 98% confidence level, the t is,

tα /2,df = t₀.₀₄,₂₄ = 2.492                ( df = hours in a day)

Margin of error = E = tα/2,df * (δ /√n)

                              = 2.492 * (5.1 / √16)

                              = 3.177

The 98% confidence interval estimate of the population mean is,

x - E < μ < x + E

19 - 3.177 < μ < 19 + 3.177

15.823 < μ < 22.177

The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

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Answer:

A,and C

Step-by-step explanation:

A and C have the same level precision , they have three significant digit

It will take approximately 11.67 days for there to be 190 frogs in the pond.

The frog population grows exponentially, tripling every 6 days. To find out how long it will take for the population to reach 190 frogs, use the formula P(t) = P0 * (3^(t/T)), where P(t) is the population at time t, P0 is the initial population (24 frogs), T is the tripling time (6 days), and t is the time in days.

To find t, first, set P(t) to 190: 190 = 24 * (3^(t/6)). Then, divide both sides by 24: 190/24 = 3^(t/6). Take the logarithm base 3 of both sides: log3(190/24) = log3(3^(t/6)). This simplifies to log3(190/24) = t/6. Finally, multiply both sides by 6: 6 * log3(190/24) = t. Calculate the result: t ≈ 11.67 days.

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The actual dimensions of Abigail's house are 18 ft by 20 ft.

Abigail's house is represented by a scale drawing with dimensions of 9 cm by 10 cm. We are told that 6 cm on the scale drawing equals 12 ft. To find the actual dimensions of Abigail's house, we need to determine the scale factor.

First, we calculate the scale factor by dividing the actual length (12 ft) by the corresponding length on the scale drawing (6 cm). The scale factor is 12 ft / 6 cm = 2 ft/cm.

Next, we can use the scale factor to find the actual dimensions of Abigail's house. We multiply each dimension on the scale drawing by the scale factor.

The actual length of Abigail's house is 9 cm * 2 ft/cm = 18 ft.
The actual width of Abigail's house is 10 cm * 2 ft/cm = 20 ft.

Therefore, the actual dimensions of Abigail's house are 18 ft by 20 ft.

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