translate 1/2 of a number m to an expression

Answer:

b³/8a²

Step-by-step explanation:

This answer is obtained by cancelation of terms

Hope that helps you

Answer:

The first option so \((3\frac{1}{2}, -4)\) is the answer

Skills required: Graphing Knowledge, Systems Knowledge

Step-by-step explanation:

1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.

2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.

Therefore, the coordinate point is: \((3\frac{1}{2}, -4)\) since this answer best matches the coordinate values of that point.

==================================================================

Select the first option, have a nice day! :D

Answer:

50%

Step-by-step explanation:

We need to find the percent change from 120 pounds to 180 pounds. We can find it as follows :

\(\%=\dfrac{180-120}{120}\times 100\\\\=\dfrac{60}{120}\times 100\\\\=50\%\)

So, the percent change is equal to 50%.

Yes (-3,-2) is true.

No (1,6) is false

No (0,4)  is false

To determine if an ordered pair is a point of intersection between the line and the parabola, we need to check if the coordinates satisfy both equations.

(-3, -2)

y = 2x + 4 => -2

= 2(-3) + 4 => -2 = -2 (True)

y = x² + 4x + 1 => -2

= (-3)² + 4(-3) + 1 => -2 = -2 (True)

Answer: Yes

(1, 6)

y = 2x + 4 => 6

= 2(1) + 4 => 6 = 6 (True)

y = x² + 4x + 1 => 6

= (1)² + 4(1) + 1 => 6 ≠ 6 (False)

Answer: No

(0, 4)

y = 2x + 4 => 4

= 2(0) + 4 => 4 = 4 (True)

y = x² + 4x + 1 => 4

= (0)² + 4(0) + 1 => 4 ≠ 1 (False)

Answer: No

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Answer: y= 2

Step by step: Multiply 2 and 1 to get 2

The surface area of the ball increasing when the radius is 8 cm is 6cm³/sec.

The area of ​​a solid object is a measure of the total area occupied by the surfaces of the object. In the presence of curved surfaces, the mathematical definition of the surface area is much more complex than that of the arc length of a one-dimensional curve, or the surface area of ​​a polyhedron (c' that is, of an object with flat polygon faces), where the area is the sum of its horizontal areas. Smooth surfaces such as spheres are mapped onto the surface using its notation as a parametric surface.

Let r,V and S be respectively the radius, volume and surface area of the spherical balloon at time t.

∴V = 4/3 πr³

and S = 4πr²

Rate of change of surface area with respect to t

⇒ dS/dt =2

⇒ d/dt (4πr²) = 2

⇒ 8πr dr/dt = 24

⇒ dr/dt = 1/ 4πr ------------------- (1)

Rate of change of volume of the balloon with respect to t

= dV/ dt

= dtd ( 4/3 πr³ )

= 4/3 π⋅3r²

= 4πr² ⋅ dr/ dt

​= 4πr² ⋅ 1/ 4πr ------------------ [From (i)]

= r

= 6

Hence, the volume of the spherical balloon is increasing at the rate of

6 cm³ /sec.

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Answer:

C: (2x-10)

Step-by-step explanation:

(4x - 3) - (2x + 7)

In -(2x+7), think of it as -1(2x+7) which is equal to:

-1*2x + -1*7 =

-2x - 7

Now we add this to 4x-3

4x - 3 - 2x - 7

Combining like terms gives us:

2x - 10

\(\\ \sf\longmapsto x^2=3(9)\)

\(\\ \sf\longmapsto x^2=27\)

\(\\ \sf\longmapsto x=\sqrt{27}\)

\(\\ \sf\longmapsto x\approx 5.2\)

\(x^2 = 3(9)\)

\(x^2 = 27 \)

\(x = \sqrt {27}\)

\(x = 5.2 \)

It takes for the sheriff to get the burglar is 25 minutes, if a robber take off at 13 mile an hour, 10 minute later the herif take off in hot puruit at 15 mile an hour.

To make the opportunity it takes for the sheriff to get the looter, we really want to find the distance between them when the sheriff begins seeking after.

We should call the time the sheriff begins seeking after "t", then, at that point, the distance the looter has voyaged is 13 * (t + 10/60) miles and the distance the sheriff has voyaged is 15 * t miles.

Since the sheriff is attempting to get the looter, we really want to set the two distances equivalent to one another and address for t:

13 * (t + 10/60) = 15 * t

Growing and settling for t, we get:

13t + 13 * 10/60 = 15t

Deducting 13t from the two sides, we get:

13 * 10/60 = 2t

Partitioning the two sides by 2, we get:

t = 25/60 = 25 minutes.

Thus, it takes the sheriff 25 minutes to get the burglar.

The sheriff requires 25 minutes to get the looter. This can be determined by setting the distance the burglar has voyaged (13 miles * (time + 10 minutes)) equivalent to the distance the sheriff has voyaged (15 miles * time), and addressing for time. The time it takes for the sheriff to get the burglar is 25 minutes.

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Variables declared within a method and those declared directly within a class differ in their scope and accessibility.

Variables declared within a method are called local variables. They are only accessible within the specific method in which they are declared. Local variables have a limited scope and their values are typically temporary and exist only as long as the method is executing. Once the method completes its execution, the local variables are destroyed and cannot be accessed from other methods or parts of the class.

On the other hand, variables declared directly within a class, but outside of any methods, are called instance variables or class variables. These variables are accessible throughout the entire class and can be accessed and modified by any method within the class. They have a broader scope and their values persist as long as the instance of the class exists. Instance variables hold data that is shared among multiple methods within the class, and their values can be accessed and modified across different methods.

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Answer:

Below

Step-by-step explanation:

Similar triangles due to A - A - A

Set up ratios

QR is to RS   as  QP is to TS

(x+2) / (2x-5) = 3/5       Cross multiply to get

5x+10 = 6x-15               subtract 5x from both sides of the equation

10 = x - 15                     add 15 to both sides

25 = x

The basis of the subspace S in V4 over Z2 consists of the vectors: (1 1 0 0), (0 1 1 0), (1 0 1 1). The dimension of the subspace S is 3.

To determine a basis for the subspace S, we need to find a set of vectors that are linearly independent and span the subspace. The given vectors in the subspace S are: (0 0 0 0), (1 1 0 0), (1 0 1 0), (0 0 0 1), (0 1 1 0), (1 1 0 1), (1 0 1 1), (0 1 1 1).

We can observe that the first vector (0 0 0 0) is the zero vector, which is not useful for spanning the subspace. However, the other seven vectors are linearly independent and span the subspace S. By removing the redundant vectors and keeping only the linearly independent ones, we obtain the basis for S: (1 1 0 0), (0 1 1 0), (1 0 1 1).

The dimension of a subspace is defined as the number of vectors in its basis. In this case, the basis for S consists of three vectors, so the dimension of S is 3.

Therefore, the basis of the subspace S is {(1 1 0 0), (0 1 1 0), (1 0 1 1)}, and the dimension of S is 3.

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✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ \(\boxed{p = \frac{-7}{3} }\)

\(-2 = \frac{6}{7}p\)

✽ Flip the equation.

\(\frac{6}{7} p = -2\)

✽  Multiply both sides by 7/6.

\((\frac{7}{6} ) * (\frac{6}{7}p) = (\frac{7}{6} ) * (-2)\)

\(p = \frac{-7}{3}\)

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

$1,773.34

Step-by-step explanation:

divide the yearly amount by 12 (number of months in a year)

The equilibrium price is the price at the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers in a market. It is the point of balance between supply and demand.

At the equilibrium price, there is no shortage or surplus of goods in the market. The quantity demanded by consumers at that price matches the quantity supplied by producers, resulting in a state of market equilibrium.

If the price is set above the equilibrium price, there will be a surplus of goods because the quantity supplied exceeds the quantity demanded. Producers will be left with excess inventory, and they may need to lower the price to sell their goods.

On the other hand, if the price is set below the equilibrium price, there will be a shortage of goods because the quantity demanded exceeds the quantity supplied. Consumers will be willing to buy more goods at the lower price, and producers may need to raise the price to meet the increased demand.

Therefore, the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.

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We can arrange the 2023 squares to cover the unit square, with overlaps allowed.

We can prove that a collection of 2023 closed squares of total area 4 can be arranged to cover a unit square by using the pigeonhole principle. Since the total area of the squares is 4, the average area of each square is 4/2023. Let's take a unit square and divide it into 2023 smaller squares of area (1/2023) each. By the pigeonhole principle, we can assign one of the 2023 squares to each of the smaller squares. Since the average area of each square is 4/2023, each of the assigned squares will overlap with at most 4 other squares. Therefore, we can arrange the 2023 squares to cover the unit square, with overlaps allowed.

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Answer:

Unit rate = 1.25 inches per yard

Length of fence B on the blueprint = 5 inches

Step-by-step explanation:

We are told that Fence A is 1 1/5 yards long but is 1 1/2 inches long on the blueprint.

This means it's 1.2 yards long but 1.5 inches on the blueprint.

Thus, the unit rate for this blueprint will be; 1.5/1.2 = 1.25 inches per yard

fence B is 4 yards long.

Thus, the corresponding blueprint measurement = 4yards × 1.25 inches/yard = 5 inches.

Answer:

Epidermis contains proteins that make the skin waterproof and keeps it strong. A similar protein can also be found in our nails.

Step-by-step explanation:

The outer skin (epidermis) contains a strong protein called keratin. Keratin is insoluble in water, making this layer waterproof.

Answer:

so sorry

Step-by-step explanation:

wish I could help but I don't know how to do it

Answer:

$29,045.69

Step-by-step explanation:

The total amount accrued, principal plus interest, with compound interest on a principal of $25,000.00 at a rate of 3% per year compounded 365 times per year over 5 years is $29,045.69.

A = P(1 + r/n)nt

A = 25,000.00(1 + 0.03/365)(365)(5)

A = 25,000.00(1 + 8.2192E-5)(1825)

A = $29,045.69

The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

7/2 is the slope and (-2,0) is the starting point.

Answer: x=10 and angle RST is 75 degrees

Step-by-step explanation:

By substituting the limits of integration and solving the definite integral, the volume of the solid is approximately 3.57 cubic units.

What is integration ?

Integration is a fundamental concept in calculus that deals with the problem of finding the total change in a quantity over a given interval. It is the reverse process of differentiation, which deals with finding the rate of change of a quantity.

We can think of slicing the solid into thin horizontal slices, each parallel to the y = 0 plane. The cross-section of each slice with the elliptic cylinder will be an ellipse. The area of each ellipse can be calculated using the formula for the area of an ellipse, which is πab, where a and b are the semi-major and semi-minor axes of the ellipse.

The semi-major axis of the ellipse is 2, and the semi-minor axis is √(4 - 4x^2) = √(4(1 - x^2)) = 2√(1 - x^2). So the area of each slice is A(x) = π(2)(2√(1 - x^2)) = 4π√(1 - x^2)

The height of each slice is dy = dz = dx, since the slices are parallel to the y = 0 plane and the height of each slice is equal to the change in y or z between two consecutive slices.

So, the volume of the solid is ,

∫ (4π√(1-x^2)) dx from x = -1/2 to x = 1/2

By substituting the limits of integration and solving the definite integral, the volume of the solid is approximately 3.57 cubic units.

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Answer:

x = 11 / x = - 4

Step-by-step explanation:

x² - 7x - 34 = 10

x² - 7x - 34 - 10 = 10 - 10

x² - 7x - 44 = 0

x² + 4x - 11x - 44 = 0

x (x + 4) - 11 ( x + 4) = 0

(x - 11)(x + 4) = 0

(x - 11) = 0 / (x + 4) = 0

x = 11 / x = - 4

Hope that helps! (If it doesn't, please tell me what you want me to answer or explain, or how I can improve the answer.) :)

For the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.

As given in the question,

Total number have to pick by a player in a lottery daily game is equal to 3

Numbers  from which player have to pick the three numbers is 0 to 9

Total numbers from which player have to pick the three numbers = 10

Given condition : Order of the number does not matter

Total number of choices to pick three numbers from 0 to 9

= ¹⁰C₃

= ( 10! ) / ( 10 - 3 )! (3!)

= 10! / 7! 3!

= ( 10 × 9 × 8 × 7! ) / ( 7!) ( 3 × 2 × 1 )

= 10 × 3 × 4

=120 choices

Therefore, for the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.

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The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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The survey mode that is not mentioned in the text is "puter-administered." The correct option is b: puter-administered.

The following is not a survey mode mentioned in the text: a.person-administered. b: puter-administered. c.self-administered. d.mixed-mode.

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