is this true the square root of a positive number is always less than the half of the number itself​

we have that

Applying the Pythagorean Theorem

c^2=a^2+b^2

substitute given values

c^2=7^2+24^2

c^2=49+576

c^2=625

Answer:

I don't know if I can you go outside and I can go to the store and get a little

Answer: 6 bags 5 fire balls and 7 jolly ranchers in one bad

Step-by-step explanation:Ok so you got 30 fire balls 42 ranchers what you can do is see like wow more ranchers in a bag we know that hmm 42/6 is ya know 7 and that 6 does it go into 30 yeah it does 30/6=5 so you got 5 fire balls and 7 jolly ranchers is each bag with 6 bags

Answer:

6 bags

Step-by-step explanation:

The GCF of 30 and 42 is 6.

30/6 = 5

42/6 = 7

To use all candy, put 5 fireballs and 7 jolly ranchers in each bag. You will make 6 bags.

Option D, which refers to how much you need or get, equals the amount of money paid on July 8 and is $ 1600.

aggregate attempting to calculate the time required, total number or quantity.  The quantity at hand or under consideration is incredibly energetic.  the overall result, importance, or import. Principal, interest, and a third accounting. amounts, amounting, and amounted are word forms. flexible noun The quantity of something is how much there is, how much you have, how much you require, or how much you obtain. He requires that sum of money to get by.

given

Cash paid on July 8 equals ($1,800 - $200)* (1 - 0.02)

$1,568 (Purchase value - value of products returned)* (1 - Discount percentage) ( option c , option d )

Cash paid in August equals Purchase value minus Value of Returned Goods ($1,800 minus $200 = $ 1600). ( Option D )

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The expected number of times one needs to flip a fair coin to get two consecutive heads is 6.

To find the expected number of times one needs to flip a fair coin to get two consecutive heads, we can use the concept of conditional probability.

Let E be the expected number of flips needed to get two consecutive heads.

On the first flip, there is a probability of 1/4 of getting two consecutive heads. If this does not happen, we have to start over and flip the coin again.

On the second flip, there is a probability of 1/4 of getting two consecutive heads, but we have already used one flip, so the expected number of additional flips needed is E.

Therefore, we can write the following equation:

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

E = (1/2)( 1 + E + 1 + E/2 + 1)

E = (1/2)(3 + 3E/2)

E = 3/2 + 3E/4

E/4 = 3/2

E = 6

Therefore, the expected number of times one needs to flip a fair coin to get two consecutive heads is 6.

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Step-by-step explanation:

using the formula (y2-y1)/(x2-x1)we plug the numbers In the slop formula (6--4)/(-1--5)= 10/4

Answer:

Step-by-step explanation:

(x1,y1)= (-5,-4)

(x2,y2)=(-1,6)

Distance=√(x2-x1)²+(y2-y1)²

=(-1-5)²+(6-4)²

=(-6)²+(10)²

=36+100

=136 answer,,

therefore, the slope of the line is 136unit

The statement "f(7) = 5" represents a function, where the input value is 7 and the output value is 5. In coordinate notation, this can be written as (7, 5).

In this case, the x-coordinate represents the input value (7) and the y-coordinate represents the output value (5) of the function .

In mathematics, a function is a relationship between input values (usually denoted as x) and output values (usually denoted as y). The notation "f(7) = 5" indicates that when the input value of the function f is 7, the corresponding output value is 5.

To represent this relationship as a coordinate point, we use the (x, y) notation, where x represents the input value and y represents the output value. In this case, since f(7) = 5, we have the coordinate point (7, 5).

This means that when you input 7 into the function f, it produces an output of 5. The x-coordinate (7) indicates the input value, and the y-coordinate (5) represents the corresponding output value. So, the point (7, 5) represents this specific relationship between the input and output values of the function at x = 7.

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Therefore , the solution of the given problem of area comes out to be the picture's revised dimensions are 21 feet long and 15 feet wide.

What is scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

What exactly does an area mean?

Its total size can be determined by figuring out how much area would be required to completely enclose its exterior. When choosing a comparable product for the rectangular design, the surrounding area is taken into account. The total measurements of something are determined by its surface area. The volume of water a cuboid can contain depends on the number in sides between its four trapezoidal shapes.

Here,

The initial image's length and width must be multiplied by 3 in order to enlarge it by a scale factor of 3.

=>  7 feet in length at first.

=>  5 foot original diameter

=> New length = 7ft x 3 = 21ft

=>  New width = 5ft x 3 = 15ft

As a result, the picture's revised dimensions are 21 feet long and 15 feet wide.

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The percent hourly growth rate is 13%, when the hourly wage of of workers was raised once a year and grew exponentially from $ 11.50 to $ 14.01 in 8 years.

Percent, denoted by the sign %, refers to hundredths or per hundred. Since percent is a ratio in which we compare numbers to 100, 1% is equal to 1/100. Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages. Let's assume that we are interested in the proportion of employed women who are female.

Given,

Initial wages = $11.50

After 8 years = $14.01

Let initial

A₀ = $11.50 after 8 years

A = A₀ e^rt

14.01 = 11.50 e^r⁹

14.01/11.50 = e^9r

9r = 14.01/11.50

r = 14.01 ÷ 11.50/9

r 0 0.13

For percentage,

0.13(100%)

13%

The percent hourly growth rate is 13%, when the hourly wage of of workers was raised once a year and grew exponentially from $ 11.50 to $ 14.01 in 8 years.

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The required answer is x = 14

To solve this problem, we can use algebraic equations. Let's start by representing the number of points that Aisha has with the variable "x".

According to the problem, we know that Carter has 7.5 more points than Aisha, so we can write:
Carter = x + 7.5
An algebraic equation or polynomial equation is an equation in which both sides are polynomials (see also system of polynomial equations). These are further classified by degree: linear equation for degree one. quadratic equation for degree two.

We also know that Jamila has 4.5 more points than Carter, which means:

Jamila = (x + 7.5) + 4.5

a variable (from Latin variabilis, "changeable") is a symbol that represents a mathematical object. A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.

Algebraic computations with variables as if they were explicit numbers solve a range of problems in a single computation. For example, the quadratic formula solves any quadratic equation by substituting the numeric values of the coefficients of that equation for the variables that represent them in the quadratic formula. In mathematical logic, a variable is either a symbol representing an unspecified term of the theory (a meta-variable), or a basic object of the theory that is manipulated without referring to its possible intuitive interpretation.
Finally, we know that Jamila has 26 points:

Jamila = 26

Now we can solve for x:

(x + 7.5) + 4.5 = 26

x + 12 = 26

x = 14

Therefore, Aisha has 14 points.

To show the work:

Aisha = x

Carter = x + 7.5

Jamila = (x + 7.5) + 4.5

Jamila = 26

(x + 7.5) + 4.5 = 26

x + 12 = 26

x = 14

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Answer:

y=-1/3x-1 I believe

Step-by-step explanation:

The Y intercept is where the line meets the Y line, which crosses at -1 and for slope, find a point and do rise/run. This question goes down 1 and to the right 3 so -1/3

Answer:

D) Identifies the transaction and is located at the top right corner of the check

Step-by-step explanation:

The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number

The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.

The check number also aids in balancing of the checkbook.

Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.

Answer:

$950

Step-by-step explanation:

Take the original amount and subtract the 5% from the total then you have your new total.

The counterclockwise circulation of F is 99

The flux F across C is -99

Define the area of integration

C: Triangle bounded by

x = 0, y = 0 , y = x

\(0\leq x\leq 3,0\leq y\leq x\)

Applying Green's Theorem for counterclockwise circulation

\(F=y^2-6x^2i+6x^2+y^2j\)

\(I=\int\limits_C P(x,y)dx+Q(x,y)dy=\int\limits\int\limits_D(\frac{dQ}{dx}-\frac{dP}{dy} )dA\)

\(p(x,y)=y^2-6x^2---- > \frac{dP}{dy}=2y\\ \\Q(x,y)=6x^2+y^2---- > \frac{dQ}{dx}=12x\\ \\I=\int\limits\int\limits_D 12x -2y dA\)

Calculate the integral. (With respect to the x axis)

\(I=\int\limits^3_0 \int\limits^x_0 {12x}-2y \, dydx\\ \\I=\int\limits^3_0 {12x}-y^2|^x_0 \, dx \\\\I=\int\limits^3_0 11x^2\, dx\\\\I=\frac{11x^3}{3}|^3_0\\ \\I=99\)

Applying Green's Theorem for flux of the field

\(F=y^2-6x^2i+6x^2+y^2j\)

\(\int\limits\int\limits_D(\frac{dQ}{dx}+\frac{dP}{dy} )dA\)   the flux across the C

\(p(x,y)=y^2-6x^2---- > \frac{dP}{dx}=-12x\\ \\Q(x,y)=6x^2+y^2---- > \frac{dQ}{dy}=2y\\ \\I=\int\limits\int\limits_D 2y-12x dA\)

Calculate the integral. (With respect to the x axis)

\(I=\int\limits^3_0 \int\limits^x_0 {2y}-12x \, dydx\\ \\I=\int\limits^3_0 y^2-12xy|^x_0 \, dx \\\\I=\int\limits^3_0- 11x^2\, dx\\\\I=-\frac{11x^3}{3}|^3_0\\ \\I=-99\)

The counterclockwise circulation of F is 99

The flux F across C is -99

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The given question is incomplete, So i take similar question:

Use Green's theorem to find the counterclockwise circulation and outward flux for the field\(F=(y^2 - 6x^2) i + (6x^2 + y^2) j\)  and curve C: the triangle bounded by y=0, x=3 and y=x. What is the flux and circulation?

The tangent plane approximation at h(4.001,0.997) is 72.026, where h(x, y) = x³ + 2xy.

Plane is h(x, y) = x³ + 2xy.

Substitute the value of x and y in the plane

h(4, 1) = (4)³ + 2(4)(1)

h(4, 1) = 64 + 8

h(4, 1) = 72

Partial Differentiation with respect to x

hₓ = ∂h/∂x

hₓ = 3x² + 2y

at (4, 1)

hₓ = 3(4)² + 2(1)

hₓ = 3(16) + 2

hₓ = 48 + 2

hₓ = 50

Partial Differentiation with respect to x

\(h_{y}\) = ∂h/∂y

\(h_{y}\) = 2x

at (4, 1)

\(h_{y}\) = 2(4)

\(h_{y}\) = 8

tangent plane is

z = h(4, 1) + hₓ(x - x₀) + \(h_{y}\)(y - y₀)

z = 72 + 50(x - 4) + 8(y - 1)

z = 72 + 50x - 200 + 8y - 8

z = 50x + 8y - 136

at (x, y) = (4.001, 0.997)

z = 50(4.001) + 8(0.997) - 136

z = 200.05 + 7.976 - 136

z = 72.026

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The magnitude of the charge on each capacitor plate, when filled with the dielectric material, is approximately \(\( 4.66 \times 10^{-7} \, \mathrm{C} \)\) (option C).

The capacitance of a parallel-plate capacitor filled with a dielectric material is given by the formula:

C' = (κ * ε₀ * A) / d

where C' is the new capacitance, κ is the dielectric constant, ε₀ is the vacuum permittivity \((8.85 * 10^{-12} F/m)\), A is the area of the plates, and d is the separation between the plates.

Since the potential difference across the plates remains the same, we can equate the initial and final expressions for the energy stored in the capacitor:

(1/2) * C * V² = (1/2) * C' * V'²

where C is the initial capacitance, V is the initial potential difference, C' is the final capacitance, and V' is the final potential difference.

Substituting the expressions for capacitance:

(1/2) * (ε₀ * A) / d * V² = (1/2) * (κ * ε₀ * A) / d * V'²

V² = κ * V'²

Solving for V':

V' = sqrt(V² / κ)

Now we can find the magnitude of the charge on each plate using the initial potential difference and the new potential difference:

Q = C * V and Q' = C' * V'

Since the capacitance is inversely proportional to the charge, we have:

Q' = (C / C') * Q

Substituting the expressions for capacitance:

Q' = (d / (κ * d)) * Q

Simplifying:

Q' = (1 / κ) * Q

Now we can substitute the values given in the problem:

Q' = \((1 / 7.74) * (3.61 * 10^{-5} C)\)

Calculating the value:

Q' ≈ \(4.66 * 10^{-7} C\)

Therefore, the magnitude of the charge on each capacitor plate, when filled with the dielectric material, must be approximately \(\( 4.66 \times 10^{-7} \, \mathrm{C} \)\).

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Complete Question:

A parallel-plate capacitor, with air between the plates, is connected across a voltage source. This source establishes a potential difference between the plates by placing charge of magnitude 3.61 x 10 C on each plate. The space between the plates is then filled with a dielectric material, with a dielectric constant of 7.74. What is the magnitude of the charge on each capacitor plate now, to produce the same potential difference between the plates as before?

Choose one of the following options:

\(a) \( 3.19 \times 10^{-5} \, \mathrm{C} \)\\\\b) \( 1.01 \times 10^{-4} \, \mathrm{C} \)\\\\c) \( 4.66 \times 10^{-7} \, \mathrm{C} \)\\\\d) \( 2.79 \times 10^{-5} \, \mathrm{C} \)\\\\e) \( 3.61 \times 10^{-6} \, \mathrm{C} \)\)

The dimensions of the fencing is 28 ft and 37 ft respectively.

He use 130 feet of fencing to go around a rectangular pool and patio.

The length of the area is 9 more than the width.

The dimension of the fence can be found as follows:

Therefore,

perimeter of the rectangular fence = 2(l + w)

where

Hence,

l = 9 + w

perimeter of the rectangular fence = 2(w + 9 + w)

perimeter of the rectangular fence = 2(2w + 9)

130 = 4w + 18

130 - 18 = 4w

112 = 4w

w = 112 / 4

w = 28 ft

l = 9 + 28 = 37 ft

Therefore, the width and length of the fencing is 28 ft and 37 ft respectively.

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Answer:

16.8

Step-by-step explanation:

Answer:

10+√3=4x²

Step-by-step explanation:

Answer:

{12}

Step-by-step explanation:

isolate the radical expression

\(\sqrt{3x} = x-6\)

raise both sides to the index of the radical in this case 2

\((\sqrt{3x} )^{2} = (x-6)^2\)

\(3x = (x-6)^2\)

foil the right hand side or multiply (x-6)(x-6)

\(3x = x^{2} -6x-6x+36\)

subtract 3x from both sides and combine like terms

\(0=x^{2} -15x+36\)

factor

\(0=(x-12)(x-3)\)

set each factor equal to zero and solve for x

x - 12 = 0 and x - 3 = 0

     x = 12 and     x  = 3

Check each answer by plugging them individually into the original equation if the come out true they are a solution.

Check :

\(\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16\)           \(\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7\)

So the only solution is 12.

Answer:

\( \huge \boxed{ \boxed{ \red{x = - 7}}}\)

Step-by-step explanation:

Step-by-step explanation:

Solution given;

\( \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7\)

:.x=-7 is your answer.

Answer:

It is increasing.

Step-by-step explanation:

Given the graph of a straight line, there are several ways to find its equation.

Method 1: This method works only if the y intercept is visible.

Find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Get b from inspection of the y intercept of the graph.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 2: This method works even if the y intercept is not visible.

As in method 1, find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Substitute the number that you obtained for m into the equation y = m x + b. Also, take one of the points, say (x1, y1), and substitute its coordinates into the equation. This gives:

y1 = m x1 + b

It may not look like it, but this equation has only one variable, b, and you can easily solve for it.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 3: This method has the advantage that it uses only algebra, not geometry, and can be applied to any type of function, not just the straight line:

Find two points, (x1, y1) and (x2, y2), that are on the line. Take the first point, (x1, y1), and substitute it into the straight line equation, y = m x + b. This gives:

y1 = m x1 + b

Similarly, take the second point, (x2, y2), and substitute it into the straight line equation, y = m x + b. This gives:

y2 = m x2 + b

Together, these two equations constitute a system of two equations in the two unknowns, m and b. We can solve them for m and b using the elimination method. To be specific, if we subtract the first equation from the second, then b is eliminated and we get the equation:

y2 − y1 = m x2 − m x1,

which, when solved for m, gives the same equation as in the other two methods, namely:

Find b by back-substitution. To be specific, substitute the number that you obtained for m into one equation of the system of equations, say into y1 = m x1 + b. It may not look like it, but this equation has only one variable, b, and you can easily solve for it

Answer:   Increasing

Step-by-step explanation:

The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.

The function is given as:

f(x) = ax³ - x² + bx - 24.

Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.

This will be solved by elimination method and the values of a and b will be -2 and 22.

Therefore, f(x) = -2x³ - x² + 22x - 24

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Step-by-step explanation:

even though it is not the only thing that has to do with it all in

Answer:

9

Step-by-step explanation:

45x has the following factors:  1, 3, 5, 9, 15, 45, x

18 has the following factors:  1, 2, 3, 6, 9, 18

the GCF is 9

9(5x - 2) = 45x-18

Answer:

C

Step-by-step explanation:

Answer:

It is weak

Step-by-step explanation:

It is weak, so that means the answer is C. It is weak because it is

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Maya is playing a trivia game with multiple choice questions. Each question has 222 correct answers among 555 answer choices. Maya has no idea what the answers to a certain question are, so she needs to choose two different answers at random.

The probability that maya's first guess is correct and her second guess is incorrect is 0.24.

From the question given above, the following data were obtained:

Correct answer (C) = 222

Total answer = 555

Incorrect answer (I) = 555 – 222 = 333

Next, we shall determine the probability that her 1st guess is correct.

Correct answer, nC = 222

Total answer, nS= 555

Probability of correct answer, P(C) =?

P(C) = nC / nS

P(C) = 222 / 555

Next, we shall determine the probability that her 2nd guess is incorrect

Incorrect answer, nI = 333

Total answer, nS = 554

Probability of incorrect answer, P(I) =?

P(I) = nI / nS

P(I) = 333 / 554

Finally, we shall determine the probability that her first guess is correct and her second guess is incorrect.

Probability of correct answer, P(C) = 222 / 555

Probability of incorrect answer, P(I) = 333 / 554

Probability of 1st correct and 2nd incorrect, P(C n I) =?

P(C n I) = P(C) × P(I)

P(C n I) = (222 / 555) × (333 / 554)

P(C n I) = 0.24

Hence the answer is, The probability that maya's first guess is correct and her second guess is incorrect is 0.24.

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Answer:

0.3

Step-by-step explanation:

Khan Academy ;)

Answer:

See the Answer Below:) I am certain this is the answer

Step-by-step explanation: