Calculate A woman is walking at a rate of 0.5
m/s. Her mass is 62 kg. Calculate the woman's
kinetic energy in joules.

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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9514 1404 393

Answer:

  3 < x < 6

Step-by-step explanation:

Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.

  P = 2(L +W)

  P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify

The perimeter wants to be between 38 and 74 cm, so we have ...

  38 < 12x +2 < 74

  36 < 12x < 72 . . . . . subtract 2

  3 < x < 6 . . . . . . . . . divide by 6

_____

Additional comment

Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.

Here, our first step was to subtract 2 from all parts of the inequality:

  38 -2 < 12x +2 -2 < 74 -2   ⇒   36 < 12x < 72

The division by 12 worked the same way: all parts are divided by 12.

  36/12 < (12x)/12 < 72/12   ⇒   3 < x < 6

__

If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.

The evaluation of the given Boolean expressions are:

a) A && !B =  false              b) B∥C = true

c) B==C = false                   d) A&&!C = true

e) (B∥C)&&(!A) =  false        f) (A!=B)∥(B!=C)  = true

Information available in the problem:

A = true

B = true

C = true

a) Since A and B are both true, !B (which means "not B") is false. Therefore, A && !B evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

A && !B = true && false = false

b) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true.

Hence,

B∥C = true ∥ false = true

c) Since B is true and C is false, B and C have different values, and therefore B==C will evaluate to false. This is because the equality operator returns true only if its operands have the same value.

Hence,

B==C = true == false = false

d) Since A is true and !C (which means "not C") is true, A&&!C evaluates to true. This is because the logical AND operator returns true only if both of its operands are true.

Hence,

A&&!C = true && !false = true && true = true

e) Since B is true, the result of B∥C will be true, regardless of the value of C. This is because the logical OR operator returns true if at least one of its operands is true. Therefore, B∥C evaluates to true.

Since A is true and !A (which means "not A") is false, !A evaluates to false.

Therefore, (B∥C)&&(!A) evaluates to false, because the logical AND operator returns true only if both of its operands are true.

Hence,

(B∥C)&&(!A) = true && false = false

f) Since A is true and B is true, A!=B (which means "A is not equal to B") is false, because A and B have the same value.

Since B is true and C is false, B!=C (which means "B is not equal to C") is true, because B and C have different values.

Therefore, (A!=B)∥(B!=C) evaluates to true, because the logical OR operator returns true if at least one of its operands is true.

Hence,

(A!=B)∥(B!=C) = false ∥ true = true

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The solution to the given inequality is x ≤ -18 which is the correct answer that would be an option (D).

The inequality is given in the question as:

3 -x/2 ≥ 12

To solve this inequality, we need to isolate the variable x. To do this, we can start by subtracting 12 from both sides of the inequality:

3 - x/2 ≥ 12

3 - x/2 - 12 ≤ 0

Next, we can simplify the left side of the inequality by combining like terms:

-x/2 - 9 ≤ 0

Finally, we can solve for x by adding 9 to both sides and multiplying both sides by -2:

x ≤ -18

Thus, the solution to the inequality is x ≤ -18.

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The result of the number 1 trillion to the 10th power as required to be determined is; 10¹²⁰.

The result of the number 1 trillion to the 10th power is as follows;

Recall; 1 trillion = 1,000,000,000,000 = 10¹²

Hence; 1 trillion to the 10th power is; ( 10¹² )¹⁰.

From the laws of indices; we therefore have that;

= 10¹²⁰

Ultimately, the result is; 10¹²⁰.

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Answer: x=35

Triangle angle sum property

(x+2)+3x+(x-7)=180

=>5x-5=180

=>5x=175

=>x=35

Yo help me out and mark my answer brainliest along with the previous q u asked. Helps out a lot!

Answer:

x = 6

Step-by-step explanation:

x + 6 = x + x

Combine like terms

x+6 =2x

Subtract x from each side

x+6-x = 2x-x

6 = x

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Oscar bought 8.73 meters of fence board to build the fence.

The metric system and the International Systems of Units both use the metre (m), also spelt as meter, as the basic unit of length (SI). In the British Imperial and American Customary systems, it is equivalent to roughly 39.37 inches.

A fence is a building used to enclose a space, usually outdoors. It is often made of posts joined by boards, wire, rails, or nets.

Oscar purchases three boards that measure 2.91 meters long each to build a fence.

Let say the length of one board be x = 2.91 meters.

Then the total length of fence board Oscar purchases is:

= 3x = 3 × 2.91 meters = 8.73 meters

Hence Oscar purchased 8.73 meters of fence board.

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Answer:

5

Step-by-step explanation:

I hope this helps

yea xxx

240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.

Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.

After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.

Since the amount of food remains the same, we can set up the following equation:

\(28,000 = (800 - x) * 50\)

Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:

\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)

By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.

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The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

$1,251

Step-by-step explanation:

Formula: \(A = P(1 + \frac{r}{n})^{nt}\)

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Plug the values into the formula; solve:

\(r = \frac{r}{100}\)

\(r = \frac{1.4}{100}\)

\(r = 0.014\)

0.014 rate per year

\(A = Pe^{rt}\)

\(A = 1,200.00^{(2.71828)}^{(0.014)(3)}\)

\(A = $1,251.47\\\)

1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.

Answer:

1251

Step-by-step explanation:

Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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The value of side length x and y in the right triangle is 5.7 and 9.4 respectively.

The figure in the image is a right triangle.

Angle G = 59 degree

Hypotenuse = 11

Adjacent to angle G = x

Opposite to angle G = y

To solve for the missing side length x and y, we use the trigonometric ratio.

Note that:

Sine = opposite / hypotensue

Cosine = adjacent / hypotensue

Solving for x:

cos( G ) = adjacent / hypotensue

Plug in the values:

cos( 59 ) = x / 11

Cross multiply

x = cos( 59 ) × 11

x = 5.7 units

Solving for y:

sin( G ) = opposite / hypotensue

Plug in the values:

sin( 59 ) = y / 11

Cross multiply

y = sin( 59 ) × 11

y = 9.4 units

Therefore, the value of y is approximately 9.4 units.

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The trinagle has been translated 1 unit right and 3 unit up, then rotate 270° about the origin.

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

The given Δ XZY has been translated 1 unit right and 3 unit up.

Δ PRO it then rotates 270° about the origin.

Hence, The triangle has been translated 1 unit right and 3 units up, then rotate 270° about the origin.

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Answer:

I think its C

Step-by-step explanation:

Answer:

889 hours.

Step-by-step explanation:

Divide $7,993 by $3, you get a decimal so you increase it to the next hour so you can have all the needed money.

Answer:

Forest A will have 6 more trees.

Step-by-step explanation:

The number of trees in Forest A is represented by the function:

\(A(t)=72(1.025)^t\)

And Forest B is represented by:

\(B(t)=63(1.029)^t\)

And we want to determine which forest will have the greater number of trees after 20 years.

So, evaluate both functions for t = 20. For Forest A:

\(\displaystyle \begin{aligned} A(20)&=72(1.025)^{20} \\ &=117.9803...\\ &\approx 118 \text{ trees} \end{aligned}\)

And for Forest B:

\(\displaystyle \begin{aligned} B(20) &= 63(1.029)^{20} \\ &=111.5958... \\ &\approx 112 \end{aligned}\)

Therefore, after 20 years, Forest A will have 6 more trees.

\(i=\sqrt{-1}\)

\((9\sqrt{-81})(-10\sqrt{64})\)

⇒ Take out i from the first square root:

\(= (9i\sqrt{81})(-10\sqrt{64})\)

⇒ Evaluate the square roots:

\(= (9i\times9)(-10\sqrt{64})\\= (9i\times9)(-10\times 8)\)

⇒ Multiply:

\(= (81i)(-10\times 8)\\= (81i)(-80)\\= -6480i\)

-6480i

the given system of equations :

we can solve this equations by using substitution method :

Simplify the equation (2) for y and substitute the value of y in equation (1)

x = 8

now, put x = 8 in the second equation and solve for y

y = 4

Answer : D (x,y) = (8, 4)

The length of EF is 10.63 units.

The formula to find the distance between the two points is usually given by d=√((c – a)² + (d– b)²).

This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

Given:

From the graph the coordinates of E( -3, -4) and F(4, 4).

Using Distance Formula

EF = √ (4 - (-3))² + ( 4 -(-4))²

EF = √ (4+ 3)² + (4+4)²

EF = √ 7² + 8²

EF = √ 49 + 64

EF = √113

EF = 10.63 units

Hence, the length of EF = 10.63 units

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Answer:

arcPSU = 224degrees

Step-by-step explanation:

From the given diagram;

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

Given

arcPQ = arcTU

arcQR = arcRS = 37

arcAST = 90

Since 136 + arcPQ + 37+37+90+arcTU = 360

136+2arcPQ+ 37+37+90= 360

2arcPQ+300 = 360

2arcPQ = 360 - 300

2arcPQ = 60

arcPQ = 60/2

arcPQ = 30degrees

Substitute into the above expression

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

arcPSU = 360 - arcPU

arcPSU = 360 - 136

arcPSU = 224degrees

A 95% confidence interval for the difference of the meantime that the customers stayed for lunch and for dinner the correct option is option a (3.35, 16.65).

Given:

The number of random customers n1 = 25

The number of random customers n2 = 30

x1 = 45, x2 = 55

σx1 = 10, σx2 = 15

Zα12 = Z0.025 = 1.96

95% confidence interval,

= {(x2-x1) ± Zα12 [(σx1)^2/n1 + (σx2)^2/n2]^0.5}

= {(55-45)  ± 1.96 [\(10^{2}\)/25 + \(15^{2}\)/30]^0.5}

= {10 ± 1.96(4 + 7.5)^0.5}

= {10 ± 1.96(11.5^0.5)}

= {10 ± 1.96(3.3911)}

= {10 ± 6.6466}

=> (10-6.6466, 10 + 6.6466)

=> (3.35, 16.65)

So, the correct option is a (3.35, 16.65) for the difference of the meantime.

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There is 16 ounces in each pound, how ever many pounds it is multiply 16 by the number of pounds,

Step-by-step explanation:

how ever many pounds it is multiply 16 by the number of pounds,

The period of a function is the horizontal length of one complete cycle. The period may also be described as the distance from one "peak" (max) to the next "peak" (max). This sine curve, y = sin x, has a period of 2π, the horizontal length of one complete cycle.

Answer: B period

Step-by-step explanation:

EDGE 2020

This additition is false

the true answer is 705

Its base on my understanding:)

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Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you