Select all the expressions that are equivalent to
310
3
–
5
.

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Given

Points (5,190000), (10,210000) and (20,250000)

Solve for the slope of the line

To solve for the slope of the line, recall the formula

For this case we will use (5,190000) and (10,210000)

Now that we have m = 4,000, we will use this to solve for the y-intercept.

Recall the slope-intercept form of a linear equation

We will use point (10,210000), in this case

Summarizing everything, the equation of the line is

The green's function for solving the initial value problem isG(x,t) = x(x+t)/t. The correct answer is a

To determine the Green's function for the given initial value problem, we need to find a function G(x, t) that satisfies the following properties:

G(x, t) is a solution of the homogeneous differential equation: x^2y'' - 2xy' + 2y = 0.

G(x, t) satisfies the boundary conditions: y(1) = 1 and y'(1) = 0.

G(x, t) satisfies the inhomogeneous term: x ln(x).

Among the given options, the correct Green's function for this initial value problem is (A) G(x, t) = x(x + t)/t.

To verify this, we can substitute G(x, t) into the differential equation and the boundary conditions:

Substituting G(x, t) = x(x + t)/t into the differential equation:

x^2(G''(x, t)) - 2x(G'(x, t)) + 2G(x, t) = x ln(x)

Simplifying the equation will show that it satisfies the differential equation.

Substituting G(x, t) = x(x + t)/t into the boundary conditions:

G(1, t) = 1, G'(1, t) = 0

Evaluating G(1, t) and G'(1, t) will satisfy the given boundary conditions.

Therefore, the correct answer is (A) G(x, t) = x(x + t)/t.

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If the equal is 55x + 35y = 200

If the car spends 3 hours at 55 miles per hour, then it drove:

  55(3) + 35y = 200

     35y =35

        y = 1.

There the drive spent 1-hour driving at 35 mph.

Hope it helps!

Answer:

Step-by-step explanation:

If the missile was going 900 mph and we are trying to find the horizontal velocity

This could be 3.88, and rounding it to the nearest hundredth would be 3.90 miles per minute

Answer:

1.45 miles per minute

Step-by-step explanation:

The question asked it to be presented in miles per minute so divide 1000 by 60 which will give us 50/3. We then multiply that with cos(85) which will give us the final answer of 1.45.

Answer:

x ≤ 19

Step-by-step explanation:

The instructions here are probably "solve for x."  Please include them.

4 - x + 6^2 ≥  21

becomes 4 - x + 36 ≥  21

Now combine like terms.  4 and 36 combine to 40:  40 - x ≥ 21, and so:

19 - x ≥ 0

Adding x to both sies results in

x ≤ 19

Please, include the instructions when you post a question.  Thanks.

(a) The scatter plot of the data set shows a positive correlation between the distance and the total earned points. As the distance increases, the total earned points also tend to increase. There are some data points that are more scattered than others, indicating some variability in the data set.

To create a scatter plot of the data set, follow these steps:

1. Label the x-axis as "Distance (m)" and the y-axis as "Total Earned Points".
2. Plot each point on the graph with the distance as the x-coordinate and total earned points as the y-coordinate.

After plotting the data, observe the scatter plot to identify any clusters or outliers:

(b) Clusters are groups of data points that are closely packed together, while outliers are data points that stand out from the rest of the data set.

There are two clusters in the data set. The first cluster includes data points with distances between 3 and 5 meters and total earned points ranging from 8 to 18. The second cluster includes data points with distances between 5 and 7.5 meters and total earned points ranging from 13 to 28.

There is one outlier in the data set, which is the data point with a distance of 7.5 meters and a total earned point of 22. This point is an outlier because it is significantly higher than the other data points in the same distance range. Overall, the data set shows some variability, but it is relatively well-behaved with clear clusters and only one outlier.

In summary, the data set has a cluster around 5-7.5 meters in distance and 13-22 earned points, and one outlier at (4, 18).

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A student must earn 13 points in the three races to be guaranteed of earning more points than any other student.

A student can obtain information in two possible ways

If someone gets one of these combinations, someone else could get the other, so we are not guaranteed to get the most points with this combination that is  5+5+1or 5+3+3= 11

Guaranteed earning more points than any other student can only be obtained in one way.: 5+5+3=13 In this case, the highest possible score for another person is  =5+3+3=11, So having 13 points ensures that you have more points than anyone else.

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Answer:14.7 games

Step-by-step explanation:

0.70 times 21 = 14.7

Answer:

1.3

Step-by-step explanation:

just subtract it

Answer:

-7/10 is correct answer hope it helps

Answer:

125°

Step-by-step explanation:

The horizontal lines are parallel so the indicated angle is supplementary to the angle with 55° measure.

The sum of supplementary angles is equal 180° so the value of indicated angle can be found as follows:

180 - 55 = 125°

Answer:

I am also think that the answer is A.

Step-by-step explanation:

hope it's helpful..

:-befrank

Answer:

\(\huge\boxed{0.24\ to\ 0.08=\dfrac{3}{1}}\)

Step-by-step explanation:

\(0.24\ to\ 0.08\to\dfrac{0.24}{0.08}=\dfrac{0.24\cdot100}{0.08\cdot100}=\dfrac{24}{8}=\dfrac{24:8}{8:8}=\dfrac{3}{1}\)

The rate of Bill's boat in still water is 33 mph and the speed of the current is 3 mph.

To find the rate of Bill's boat and the speed of the current, we can use the distance formula, which states that distance = rate × time. Since we know the distance and time for both the upstream and downstream trips, we can set up two equations and solve for the rate of the boat and the speed of the current.

Let x = the rate of the boat in still water and y = the rate of the current.

For the upstream trip:
90 = (x - y) × 3

For the downstream trip:
90 = (x + y) × 2.5

Simplifying the equations gives us:
90 = 3x - 3y
90 = 2.5x + 2.5y

Multiplying the first equation by 2.5 and the second equation by 3 gives us:
225 = 7.5x - 7.5y
270 = 7.5x + 7.5y

Adding the two equations together eliminates the y variable:
495 = 15x

Solving for x gives us:
x = 33

Substituting x back into the first equation gives us:
90 = (33 - y) × 3
90 = 99 - 3y
3y = 9
y = 3

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Answer:

see below

Step-by-step explanation:

y = x^2 +2x - 8

Factor

y = ( x+4)(x-2)

The zeros are

x+4 = 0  x-2 = 0    

x= -4    x= 2

(-4,0)  (2,0)

The axis of symmetry is 1/2 way between the zeros

(-4+2)/2 = -2/2 = -1

x = -1

The x coordinate of the vertex is at the axis of symmetry

The y value is found by substituting x=-1

y = (-1+4) (-1-2)= 3*-3 = -9

Vertex ( -1,-9)

The domain is all real numbers

The range is from -9 up

y≥ -9  since it opens upward

The price that that club members pay for the computer is $465.92.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

Since the selling price was first at 728, but then the store advertised a 20% markdown on the system and members of the store's loyalty club get an additional 20% off their computer purchases.

The cost will be calculated thus:

582.40 - (20% × $582.40)

= $582.40 - $116.48

= $465.92

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Answer:

the estimation of the quotient is  7

Step-by-step explanation:

The computation of estimating the quotient is shown below:

It is given that the number is 27

After that the two-third would be divided by 3

And, then the nine-tenth

Based on the above information, the estimation of the quotient is  

= 27 + 2 ÷ 3 ÷ 3 + 9 ÷ 10

= 27 + 0.67 ÷ 3 + 0.9

= 27.67 ÷ 3.9

= 28 ÷ 4

= 7

hence, the estimation of the quotient is  7

To calculate the p-value, we have to follow the following steps:

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

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However, in some cases, the default location of the click point may be set by default to the top-left corner of the screen or window, which would correspond to the coordinate (0, 0) in a Cartesian coordinate system.

If no coordinates have been assigned to the cursor, the default location of the click point will depend on the program or application being used. In most cases, the default location will be the center or starting position of the screen or window in which the program is running, which could be any location on the screen. Therefore, none of the options provided is necessarily correct.

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This relationship is not transitive, symmetrical, or reflexive.

It is not reflexive because, for any x ∈ R, xd x = xx ≥ 0 is not always true.

It is not symmetric because, for any x,y ∈ R, if xd y = xy ≥ 0, then the reverse is not necessarily true (i.e. yd x = yx ≥ 0).

It is not transitive because, for any x,y,z ∈ R, if xd y = xy ≥ 0 and yd z = yz ≥ 0, then the reverse is not necessarily true (i.e. xd z = xz ≥ 0).

The relation d is defined as xd y ⇔ xy ≥ 0 for all x,y ∈ R. This relation is not reflexive because for any x ∈ R, xd x = xx ≥ 0 is not always true. It is not symmetric because for any x,y ∈ R, if xd y = xy ≥ 0, then the reverse is not necessarily true (i.e. yd x = yx ≥ 0). Lastly, it is not transitive because for any x,y,z ∈ R, if xd y = xy ≥ 0 and yd z = yz ≥ 0, then the reverse is not necessarily true (i.e. xd z = xz ≥ 0). Therefore, the relation d is none of these.

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The link is in-secure....

Answer:

4

Step-by-step explanation:

it took a while but here's my math

\(2+2=4\)

Answer:

the answer is so clearly 44

Step-by-step explanation:

just add the numbers like this, 4 + 4, remove the plus 4   4, remove the spaces in between, 44 and you get 44. so simple. subtracting two gives you the answer to the universe and life itself. 44 - 2 = 42.

Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

The area of the sector is A = π cm² and amplitude is a = 0.75 cm

Given data ,

The area of a sector is given by the formula:

A = (1/2) x r² x θ

where r is the radius of the sector and θ is the central angle in radians.

On simplifying , we get

A = π cm²

r = 1.5 cm

Substituting these values into the formula, we get:

π = (1/2) x (1.5)² x θ

π = (3/4) x θ

Solving for θ, we get:

θ = (4/3) x π

The amplitude of the sector is half of the radius, so:

amplitude = (1/2) x 1.5 cm = 0.75 cm

Hence , the amplitude of the sector is 0.75 cm

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The correct option to this question is d) None of the choices are correct as only the beta distribution can be either symmetric or skewed.

The beta distribution is a continuous probability distribution defined on the interval [0, 1]. It is commonly used to model random variables that take values between 0 and 1, such as proportions or probabilities.

The beta distribution can be either symmetric or skewed, depending on its parameters.

The normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that is symmetric around its mean.

It is commonly used to model random variables that are approximately normal, such as heights or weights of individuals in a population.

The uniform distribution is a continuous probability distribution where all values within a specified interval are equally likely. It is symmetric around its midpoint and does not exhibit skewness.

In its standard form, with mean 0 and standard deviation 1, it is symmetric. But if the mean is shifted or the standard deviation is different from 1, the distribution can be either symmetric or skewed.

Therefore, none of the choices are correct as only the beta distribution can be either symmetric or skewed.

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(a) You are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.

(b) You are approximately 13.00 meters away from the center of town at an angle of -67.38°.

(c) You are approximately 57.45 meters away from the center of town at an angle of 3° North of East.

(d) You walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).

(a) Given:

Distance from the center of town = 14.2 meters

Angle North of East = 190°

(i) To find how far East (+x) of the town center you are, we can use trigonometry. The horizontal component (East) is given by:

Distance East = Distance from center * cos(Angle)

Distance East = 14.2 * cos(190°) ≈ -11.79 meters

(ii) To find how far North (+y) of the town center you are, we can use trigonometry. The vertical component (North) is given by:

Distance North = Distance from center * sin(Angle)

Distance North = 14.2 * sin(190°) ≈ -2.98 meters

Therefore, you are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.

(b) Given:

Distance North (+y) of the center = 12.00 meters

Distance East (+x) of the center = -5.00 meters

(i) To find the distance from the center of town, we can use the Pythagorean theorem:

Distance from center = √((Distance North)² + (Distance East)²)

Distance from center = √((12.00)² + (-5.00)²) ≈ 13.00 meters

(ii) To find the angle, we can use trigonometry. The angle is given by:

Angle = atan(Distance North / Distance East)

Angle = atan(12.00 / -5.00) ≈ -67.38°

Therefore, you are approximately 13.00 meters away from the center of town at an angle of -67.38°.

(c) Given:

Distance from the center of town = 44.0 meters

Angle North of East = 23°

Distance walked = 30.0 meters

Angle of walking North of East = 160°

(i) To find the new distance from the center of town, we can use the Law of Cosines:

New distance from center = √((Distance from center)² + (Distance walked)² - 2 * Distance from center * Distance walked * cos(Angle of walking))

New distance from center = √((44.0)² + (30.0)² - 2 * 44.0 * 30.0 * cos(160°)) ≈ 57.45 meters

(ii) To find the new angle, we can use the Law of Sines:

New angle = Angle + Angle of walking - 180°

New angle = 23° + 160° - 180° ≈ 3°

Therefore, you are approximately 57.45 meters away from the center of town at an angle of 3° North of East.

(d) Given:

Distance from the center of town = 22.0 meters

Angle North of East = 123°

Distance walked = 40.0 meters

Direction = West (-x)

(i) To find the new distance from the center of town, we can use the Pythagorean theorem:

New distance from center = √((Distance from center)² + (Distance walked)²)

New distance from center = √((22.0)² + (40.0)²) ≈ 45.28 meters

(ii) To find the new direction, we can subtract the angle of walking from the original angle:

New angle = Angle - 90°

New angle = 123° - 90° ≈ 33°

Therefore, you walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).

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Magan is younger than Claire. Their ages are consecutive integers. Magan is 8 years old and Claire is 9 years old.

What is the consecutive integers?

Consecutive numbers are defined as numbers that follow each other in the natural sequence of numbers either from largest to smallest or from smallest to largest.

Let's start by defining some variables to represent the ages of Magan and Claire.

Let x be Magan's age, then Claire's age would be x + 1, since they are consecutive integers.

The problem states that the sum of Magan's age and twice Claire's age is 26. We can express this algebraically as:

x + 2(x + 1) = 26

Simplifying and solving for x:

x + 2x + 2 = 26

3x = 24

x = 8

We can check that this solution satisfies the original condition:

Magan's age + 2 times Claire's age = 8 + 2(9) = 26, as required.

Therefore, Magan is 8 years old and Claire is 9 years old.

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