To multiple 4.56*1000 the decimal in 4.56 should be moved how many times

The ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.

The solution to the given system of linear equations is the ordered pair (x, y) = (3/5, 1/2). This means that when x is equal to 3/5 and y is equal to 1/2, both equations are satisfied simultaneously.

In the first equation, One-half x minus three-fourths y equals 11/60.

By substituting x = 3/5 and y = 1/2 into this equation, we have (1/2)(3/5) - (3/4)(1/2) = 11/60, which simplifies to 3/10 - 3/8 = 11/60. By further simplifying, we get 24/80 - 30/80 = 11/60, which is true since both sides are equal to 11/60.

Similarly, in the second equation, Two-fifths x plus one-sixth y equals 3/10.

Substituting x = 3/5 and y = 1/2, we have (2/5)(3/5) + (1/6)(1/2) = 3/10, which simplifies to 6/25 + 1/12 = 3/10.

By finding a common denominator and simplifying, we get 144/600 + 50/600 = 180/600, which is also equal to 3/10.

Thus, the ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.

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Answer:

A. (3, 8) and \(2\sqrt{2}\)

B. (2, 4) and \(2\sqrt{10}\)

Step-by-step explanation:

Midpoint formula: \((\frac{x1+x2}{2} ,\frac{y1+y2}{2})\)

Distance formula: \(\sqrt{(x_{2}-x_{1}) ^2+(y_{2}-y_{1}) ^2 }\)

A. plug in the points in the formulas

(4, 7) and (2, 9)

Midpoint:

\((\frac{4 + 2}{2} , \frac{7+9}{2} )=6/2, 16/2 = (3,8)\)

Length:

\(\sqrt{(2-4)^2+(9-7)^2}=\sqrt{4+4} =\sqrt{8} =2\sqrt{2}\)

B.

(5, 5) and (-1, 3)

Midpoint:

\((\frac{5-1}{2} , \frac{5+3}{2} )=4/2,8/2=(2,4)\)

Length:

\(\sqrt{(-1-5)^2+(3-5)^2} =\sqrt{-6^2+-2^2} =\sqrt{36+4} =\sqrt{40} = 2\sqrt{10}\)

Can you consider marking my answers as brainliest lol it would mean a lot. Hope this helped.

The x-component of fluid acceleration in terms of x and y is 2.

To find the x-component of fluid acceleration (ax), we need to differentiate the x-component of velocity (u) with respect to time.

However, the given equations provide the expressions for u in terms of x and y, not time. Therefore, we need to differentiate u with respect to x and y instead.

Given: u = 2x + y^2

To find the x-component of fluid acceleration (ax), we differentiate u with respect to x while treating y as a constant:

ax = ∂u/∂x = ∂(2x + y^2)/∂x = 2

The x-component of fluid acceleration, ax, is simply 2.

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Answer:

-8 < x < -2

start number line at -10 and end it at 0

draw an open circle* over the dash indicating -8 and -2

connect the open circles

*open circle because it is less than and greater than, not less than or equal to and greater than or equal to

Answer:

-8<x<-2

Step-by-step explanation:

yw luv :D

After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

A table of equivalent ratios for the number of customers and minutes for customers that entered the store are as follows:

Customers            Hours

1                                4

12                              6

10                              40

In order to have a proportional relationship and equivalent ratios, the number of customers (x) and the number of minutes (y) must have the same constant of proportionality.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 12/3

Constant of proportionality (k) = 4.

When minutes y = 4, the number of customers (x) is given by:

x = y/k

x = 4/4

x = 1.

When the number of customers (x) = 10, the number of minutes (y) is given by:

y = kx

y = 4(10)

y = 40.

Next, we would use an online graphing calculator to plot the points on a coordinate axes as shown in the image attached below.

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Answer:

Step-by-step explanation:

He gets a new job and it pays him $60k each year.

Amount per year: 60,000

He gets a raise of $5k

Amount per year: 65,000

After 5 years of working there you times 5 by your amount you get per year.

5 x 65,000 = 325,000

Therefore you get...

$325k every five years

To know how much it is in ten years multiply 325k by 2

325,000 x 2 = 650,000

Salary after 5 years: 325,000

Salary after 10 years: 650,000

<3 Enjoy,

    Dea

Answer:

Step-by-step explanation:

Required condition for SSS is three sides congruence.

We have:

We observe:

We need:

TW must be congruent or equal to XY

Because

It's sss i e side-side-side

Here

Hence only one more side is required

Answer:

x=4

y=2

Step-by-step explanation:

x+8y=20

4x−y=14

​To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

x+8y=20,4x−y=14

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x+8y=20

Subtract 8y from both sides of the equation.

x=−8y+20

Substitute −8y+20 for x in the other equation, 4x−y=14.

4(−8y+20)−y=14

Multiply 4 times −8y+20.

−32y+80−y=14

Add −32y to −y.

−33y+80=14

Subtract 80 from both sides of the equation.

−33y=−66

Divide both sides by −33.

y=2

Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.

x=−8×2+20

Multiply −8 times 2.

x=−16+20

Add 20 to −16.

x=4

The system is now solved.

x=4,y=2

One possible correct explanation of how to find the volume of a cylinder is:To find the volume of a cylinder, you need to multiply the area of the base by the height.

The base of a cylinder is a circle, so the area of the base is equal to pi times the radius squared. The height of the cylinder is the distance between the two circular bases. So, if you know the radius of the base and the height of the cylinder, you can use the formula \(V = pi × r² × h\) to find the volume of the cylinder.

It's important to note that the units used for the radius, height, and volume should be consistent. For example, if the radius is given in meters and the height is given in centimeters, they need to be converted to the same unit before the formula is applied. And the resulting volume should have units cubed, such as cubic meters or cubic centimeters.

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Answer:

A) Acute angle

Step-by-step explanation:

Because it measures not greater than 90°

Answer:

The answer is A) acute

Step-by-step explanation:

hope this helps!

Answer:

54

Step-by-step explanation:

Since there are parantheses or however you spell them, by using PEMDAS, we do the parantheses first.

23 - 1 = 22

Now, we do the addition.

22 + 32 = 54

Answer:

54

Good luck! And have a great day!

Answer:

the answer is #1

Step-by-step explanation:

Answer:

area of sector A =  47.97 in²

area of sector C = 109.03 in²

Step-by-step explanation:

area of full circle = πr² = (3.14)(10²) = 314 in²

area of sector A = (55/360)(314) = 47.97 in²

area of sector C = (314/2) - 47.97 = 109.03 in²

To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:

The test estimate is expansive sufficient

The test information is autonomous

The populace is at slightest 10 times bigger than the test

The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.

Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.

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The Volume of the rectangular prism with a length of 214 inches, width of 412 inches, and height of 5 inches is 443,280 cubic inches.

The volume of a rectangular prism, we multiply the length, width, and height of the prism. In this case, the given dimensions are:

Length (l) = 214 inches

Width (w) = 412 inches

Height (h) = 5 inches

The formula for the volume (V) of a rectangular prism is:

V = l * w * h

Substituting the given values into the formula:

V = 214 * 412 * 5

Calculating the product:

V = 44,3280

Therefore, the volume of the rectangular prism is 44,3280 cubic inches.

In summary, the volume of the rectangular prism with a length of 214 inches, width of 412 inches, and height of 5 inches is 443,280 cubic inches.

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What’s the description of the ridged motions

Reflect over x-axis and shift 3 units up.

Answer:

reflection over the x-axis and shifted 3 units up

Step-by-step explanation:

To make the coefficient positive 4, you need to multiply it by -1, which will flip it over the x-axis. Adding 3 will move the graph 3 units up

The person above is right. The answer isn't there?

Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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Answer:

x = 21

General Formulas and Concepts:

Geometry

Step-by-step explanation:

Step 1: Identify

We see that the measures given are Corresponding Angles

Step 2: Solve for x

Answer:

75 in^2

Step-by-step explanation:

The surface area is the sum of the areas

Area of the square:

A = s^2 = 5^2 =25

Area of one triangle

A = 1/2 bh = 1/2 (5)(5) = 25/2

There are 4 triangles

4* (26)/2 = 50

The sum is 25+50 = 75

Answer:

75 in2

Step-by-step explanation:

\(===========================================\)

Formulas:

Area of a rectangle/square:

\(A=lw\)

Area of a triangle:

\(A=bh\frac{1}{2}\)

\(===========================================\)

Square:

5*5= 25 in.

Triangles (4):

\(5*5*\frac{1}{2} =12.5\)

Multiply by 4.

12.5*4= 50 in.

Add all them up.

25+50= 75

Answer:

Leslie has 13 quarters and 23 half-dollars.

Step-by-step explanation:

You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:

x+y=36 (1)

0.25x+0.50y=14.75 (2), where:

x=amount of quarters

y=amount of half-dollars

First, you can isolate x in (1):

x=36-y (3)

Then, you can replace (3) in (2):

0.25(36-y)+0.50y=14.75

9-0.25y+0.50y=14.75

0.25y=5.75

y=5.75/0.25

y=23

Finally, you can replace the value of y in (3) to find the value of x:

x=36-23

x=13

According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.

based on the given information, we can definitively conclude that PV- is closer to 0 than to 1. The option (b) "PV- is closer to 0 than to 1" is the correct answer.

The present value (PV) represents the current value of a future cash flow or investment. If PV is approximately 1, it means that the value of the future cash flow or investment is close to its full value in the present.

When we subtract a value from PV to get PV-, the resulting value will be smaller than PV. Since PV is approximately 1, it implies that PV- is closer to 0 than to 1. This conclusion holds because subtracting a value from 1 will always yield a smaller value.

For example, if PV is exactly 1 and we subtract 0.5 from it, the resulting PV- will be 0.5, which is closer to 0 than to 1.

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El intervalo correspondiente de millas que Juana puede manejar su nuevo auto está entre 10,000 y 14,000 millas.

Para determinar el intervalo correspondiente de millas que Juana puede manejar su nuevo auto, podemos resolver la fórmula del costo anual en términos de la variable m (millas recorridas por año). Dado que el costo anual está entre $6400 y $7100, podemos establecer la siguiente desigualdad:

6400 ≤ 0.35m + 2200 ≤ 7100

Restando 2200 en los tres lados de la desigualdad, obtenemos:

4200 ≤ 0.35m ≤ 4900

Dividiendo por 0.35 en los tres lados, obtenemos:

12000 ≤ m ≤ 14000

Por lo tanto, Juana puede manejar su nuevo auto en un intervalo de millas que va desde 12000 millas hasta 14000 millas por año.

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Answer:

Step-by-step explanation:

(a +b)² = a² + b² + 2ab

a = 3a and b = 2.5b

2ab = 2*3a*2.5b = 15ab

15ab is the monomial that needs to be inserted

The probability of drawing a 7 as the first card and a 10 as the second card is approximately 0.0060.

To calculate the probability of drawing a 7 as the first card and a 10 as the second card from a standard 52-card deck, we need to consider the number of favorable outcomes and the total number of possible outcomes.

The probability of drawing a 7 as the first card is 4/52 since there are four 7s in the deck (one 7 in each suit) and a total of 52 cards.

After drawing the first card, there are 51 cards remaining in the deck. The probability of drawing a 10 as the second card is 4/51 since there are four 10s remaining in the deck (one 10 in each suit) and a total of 51 cards.

To find the probability of both events occurring, we multiply the probabilities:

P(7 and 10) = (4/52) * (4/51)

= 16/2652

≈ 0.0060 (rounded to four decimal places).

Therefore, the probability of drawing a 7 as the first card and a 10 as the second card is approximately 0.0060.

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Answer:

the 11th term is 0.0000488 or 4.88*10^-5.

Step-by-step explanation:

a3 = 20, a7 = 1.25

a7 = a3r^7-3

1.25 = 20r^4

r^4 = 0.0625

r = 4th root of 0.0625

r = 0.5

a3 = a1r^3-1

20 = a1(20)^2

400a1 = 20

a1 = 0.05

a11 = 0.05(0.5)^11-1 = 0.0000488 or 4.88*10^-5