Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour

Answer:

The inner surface area of a hemispherical bowl will be: 1923.25 cm²

Step-by-step explanation:

Given

d = 35 cm

as

\(r=\frac{d}{2}\)

  \(=\frac{35}{2}\)

   \(= 17.5\) cm

The inner surface area of a hemispherical bowl = 2πr²

\(=2\times 3.14\times \left(17.5\right)^2\)

\(=6.28\:\times \:17.5^2\)

\(=1923.25\)

Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²

Answer:

uhhhhhhhhhh

Step-by-step explanation:

hiiii

Answer: 4

Step-by-step explanation: if u want the slope it’s 4 since formula 2y-1y /2x-1x

The value of the fifth term in the given sequence as represented in the task content is; -35.

It follows from the task content that the value of the fifth term in the given sequence is to be determined.

On this note, it follows from the observation that the given sequence is arithmetic and the nth term, T (n) = a + ( n - 1 ) d.

where, a = first term = 1

and d = common difference = -8 - 1 = -17 - (-8) = -9.

Therefore, the fifth term is given as;

T (5) = 1 + ( 5 - 1 ) -9

= 1 + (4 × -9)

= 1 - 36

= -35.

On this note, the fifth term of the sequence as required is; -35.

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We need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

What is ASA congruence of triangle?

The two triangles are considered to be congruent according to the ASA rule if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

We are given the following:

1. ∠A ≅ ∠X

2. ∠C ≅ ∠Z

Now, in order to show the triangles as congruent by ASA congruence of triangle, we need the side which is in between both the angles.

The sides in between both the angles are AC and XZ.

Hence, we need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

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Answer:

the answer of that question is 45

Answer:

Your answer in Decimal form is 46.5.

Step-by-step explanation:

My screenshot below shows you.

the current iS at t = 2 ms when A = 20 is approximately equal to 275 A.

Given, The current source in a linear circuit has

iS = 15 cos (Aπt + 25°)A At t = 2 ms = 2 × 10⁻³ s,

and A = 20

Hence,

iS = 15 cos (20πt + 25°)AAt t = 2 ms,

i.e.,

t = 2 × 10⁻³ s,

we have:

iS = 15 cos (20π × 2 × 10⁻³ + 25°)A= 15 cos (40π × 10⁻³ + 25°)A= 15 cos (0.125 + 25°)A≈ 15 cos 25.125°= 13.7556A

Now, multiplying it by A = 20, we get:

iS = 13.7556 × 20A= 275.112A≈ 275A

Therefore, the current iS at t = 2 ms when A = 20 is approximately equal to 275 A.

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The most conservative cutover method when converting to a new system is the Phased Cutover.

This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.

After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.

Once the new system is running successfully, the old system is discontinued.

The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.

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Therefore, the force the glove exerts on the ball during the collision can be calculated by measuring the change in momentum of the ball and dividing it by the time of the collision.

The equation used to calculate the force the glove exerts on the ball during the collision is the impulse-momentum equation. This equation states that the force applied to an object is equal to the change in momentum of the object over time. Therefore, the force the glove exerts on the ball during the collision can be calculated by measuring the change in momentum of the ball and dividing it by the time of the collision.

To calculate the force the glove exerts on the ball during the collision, you can use Newton's second law of motion, which states:

Force (F) = Mass (m) × Acceleration (a)

In this scenario, the mass (m) refers to the mass of the baseball, and the acceleration (a) is the change in the baseball's velocity divided by the time it takes for the collision to occur. Keep in mind that the acceleration will have a negative value, as the ball is decelerating during the collision.

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The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

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On solving the provided question, we cans ay that P(A∩B) \(\neq\) P(A)P(B), A, b are not independent sets.

A collection of several objects is represented mathematically as a set. Any form of mathematical object can be one of the elements or terms in a set such as variables, other values, points in space, lines, other geometric forms, and symbols. In mathematics, a set is a logically arranged group of things that may be represented by a list or set builder. Curly brackets are typically used to denote sets. An illustration of a set is A = 1, 2, 3, 4. Among the various types of sets are empty sets, finite sets, equivalence sets, equivalence subsets, universal sets, supersets, and infinite sets.

P(A∩B) \(\neq\) P(A)P(B)

A, b are not independent sets

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Answer:

Yes

Step-by-step explanation:

Exponential functions grow exponentially, meaning they grow at a very fast rate.

As each input value, or x value, goes up by 1, the output value, or y value, goes up by an even larger number.

Notice how each time the y value increases, the number is 3 times greater than its predecessor.

3 x 3 = 9

Then 9 x 3 = 27

Then 27 x 3 = 81

This is called a geometric sequence, meaning that there is a pattern in how much each number goes up, but it is not constant. It is a multiplicative rate of change.

Answer:6/36 = 36x/36

Step-by-step explanation:

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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Answer:

Below in bold.

Step-by-step explanation:

Use order of operations: the exponents are calculated first, then multiplication,  then addition.

a.  1^2+2^3+3^4

= 1 + 8 + 81

= 90.

b. 4^2 * 2^4

= 16 * 16

= 256.

Answer:

90 and 256.

Step-by-step explanation:

1^2 + 2^3 + 3^4

Solve for the powers or exponents first.

1 + 8 + 81

Add the numbers.

= 90

4^2 × 2^4

Solve for the powers or exponents first.

16 × 16

Multiply the numbers.

16^2

= 256

The minimum amount of wrapping paper needed to wrap the gift box that measures 6 inches (length) by 8 inches (width) by 7 inches (height) 292 square inches.

To calculate the minimum amount of wrapping paper needed, we need to find the surface area of the box.

The surface area of a rectangular box is given by the formula:

Surface area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the box, respectively.

Substituting the given dimensions, we have:

Surface area = 2(6 x 8) + 2(6 x 7) + 2(8 x 7)

Surface area = 96 + 84 + 112

Surface area = 292 square inches

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The correct answer is 21/20

1/9•24/25=1.06 making 21/20 the closest option because 21/20 is 1.05 :)

Answer:

ABD

Step-by-step explanation:

The length of the rectangle=10 m

The width of the rectangle=5 m

Here, we have,

given that,

If the length of the rectangle is twice the width, and the perimeter of the rectangle is 30m.

we have,

Step 1: Determine the dimensions of the rectangle

let the width of the rectangle be;

width=w

length=2×w=2 w

Step 2: Determine the perimeter of the rectangle

P=2(L+W)

where;

P=perimeter of the rectangle

L=length of the rectangle

W=width of the rectangle

In our case;

P=30 m

L=2 w

W=w

replacing;

2(2 w+w)=30

4 w+2 w=30

6 w=30

w=30/6=5

w=5 m

The length of the rectangle=5×2=10 m

The width of the rectangle=5 m

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complete question:

If the length of the rectangle is twice the width, and the perimeter of the rectangle is 30m, what is length and what is the width of the rectangle?A)4 units B)5 units C)10 units D)12 units

Answer:

x = 1

Step-by-step explanation:

-4 (-6x + 5) = 4

24x - 20 = 4

24x = 24

x = 1

Answer:

1

Step-by-step explanation:

Step 1:

- 4 ( - 6x + 5 ) = 4

Step 2:

24x - 20 = 4

Step 3:

24x = 4 + 20

Step 4:

24x = 24

Answer:

x = 1

Hope This Helps :)

Answer:

g(x2+6x+7)=x2+6x+9

Step-by-step explanation:

Evaluate g(f(x)) by substituting in the value of f into g

g(2x)=6(2x)−7

Multiply 2 by 6

g(2x)=12x−7

Answer:

m = (3/4) n

Step-by-step explanation:

4m + 2n = 5n

The subtraction property of equality states that we can subtract 2n from both sides to isolate the m and its coefficient to get

4m = 3n

The division property of equality states that we can divide 4 from both sides to isolate only the m (we divide by 4 because anything divided by itself equals 1) to get

m = (3/4) n

Answer:

Step-by-step explanation:

You want optical density in terms of intensity of transmitted (Jt) and incident (Ji) light, written as a single term and as the difference of logarithms.

Optical transparency is the ratio of transmitted to incident light intensities:

  T = Jt/Ji

Opacity is the inverse of transparency:

  O = 1/T = Ji/Jt

Optical density is the common log of opacity:

  D = log(O)

  D = log(Ji/Jt)

As the difference of logarithms, this is ...

  D = log(Ji) -log(Jt)

__

Additional comment

The relevant rule of logarithms is ...

  log(a/b) = log(a) -log(b)

Answer:

f(0) = 1

Step-by-step explanation:

The graph given to us shows that we have 2 values for y when x = 0. Since point (0, 0) is an open dot, it is not included in the function, meaning it is not usable. The other point, (0, 1), is a closed dot, so we can use that. Therefore, f(0) = 1.

Answer:

C. 3(6+1) =21

Step-by-step explanation:

33/3 is done first and that is 11+10= 21

6+1=7(3)= 21

Answer:

D

Step-by-step explanation:

\(2x^2+16x-8=0\)

Simplify:

\(x^2+8x=4\)

Rewrite in the form \((x+a)^2=b\):

\(x^2+8x=4\)

Add \(4^2\) to both sides:

\(x^2+8x+4^2=4+4^2\)

\(x^2+8x+4^2=20\)

\(\left(x+4\right)^2=20\)

\(x+4=\sqrt{20}\) or \(x+4=-\sqrt{20}\)

x = -4±\(\sqrt{20}\)

x= -4±\(2\sqrt{5}\)

a)

The perimeter is given by

b)

Then we simplify by summing similar terms we obtain that the expression of the perimeter is

a) F(s) = s+7 / s²-6s+8Answer:Using partial fractions decomposition,F(s) = [A/(s-2)] + [B/(s-4)] + C(s+7),where A, B, and C are constants.

Now,C(s+7) = A(s-4) + B(s-2) + (C(s+7))(s²-6s+8)Taking s = 4, we get A = 3.Using s = 2, we get B = -1.Then,C(s+7) = 3/(s-2) - 1/(s-4) + (s+7)/(s²-6s+8)Taking the inverse Laplace transform, we get f(t) = 3e2t - e4t + e3t cos t

We can find the Inverse Laplace transforms using the following steps:First, we apply partial fraction decomposition to simplify the fraction.Second, we use the properties of the inverse Laplace transform to convert the fraction back to the time domain.The final step involves algebraic manipulation of the Laplace transform to obtain the inverse transform.b) F(s) = 18s-12 / 9s²-1Answer:Using partial fractions decomposition,F(s) = [2/(3s-1)] - [2/(3s+1)] where we have assumed the roots to be 1/3 and -1/3 respectively.Taking the inverse Laplace transform, we get f(t) = 2e-t/3 - 2e-t/3

Similar to the previous part, we need to simplify the fraction using partial fraction decomposition. Then, we use the properties of the inverse Laplace transform to obtain the inverse transform.c) F(s) = s / (s²-2) + 3/(s²+2)Answer:Using partial fractions decomposition,F(s) = [As + B]/(s²-2) + [Cs + D]/(s²+2)Now,As + B = s, Cs + D = 3Taking s = 0, we get B = 0 and D = 0.Taking s = 1, we get A = 1/2 - C.Taking s = i, we get iA + Ci = 0Therefore, A = C = 1/2.Substituting these values, we get F(s) = [(1/2)s/(s²-2)] + [(1/2)3/(s²+2)]Taking the inverse Laplace transform, we get f(t) = (1/2)√2e√2t + (3/2)sin(t√2)

We first simplify the fraction using partial fraction decomposition. Then, we use the properties of the inverse Laplace transform to obtain the inverse transform. The final expression is in the time domain where we can see how the original function behaves over time. In summary, inverse Laplace transforms are used to convert a function from the frequency domain to the time domain. The process involves simplifying the fraction using partial fractions decomposition and using the properties of the inverse Laplace transform.

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