How can credit cards be more secure than cash?

Answer:

The object is moving at 149 inches per day.

Step-by-step explanation:

The speed can be converted from km/y to in/d taking into account that:

In 1 kilometer we have 39370.1 inches and in 1 year we have 365 days, hence:

\( V = \frac{9 km}{6.5 y}*\frac{39370.1 in}{1 km}*\frac{1 y}{365 d} = 149 in/d \)

Therefore, the object is moving at 149 inches per day.

I hope it helps you!

The values a = 11 and b = 4 in the expression (5 + 2√3)/(7 + ⁴√3) = a + b√3.

To find the values of "a" and "b" in the expression (5 + 2√3)/(7 + ⁴√3) = a + b√3.

we need to rationalize the denominator:

Let's start by multiplying both the numerator and the denominator by the conjugate of the denominator, which is (7 - ⁴√3):

[(5 + 2√3) × (7 - ⁴√3)] / [(7 + ⁴√3) × (7 - ⁴√3)]

Expanding and simplifying the numerator and denominator, we have:

(35 - 10√3 + 14√3 - 8 × 3) / (49 - 16 × 3)

(35 + 4√3 - 24) / (49 - 48)

(11 + 4√3) / 1

Now, we have the expression in the form a + b√3.

Therefore, a = 11 and b = 4.

So, a = 11 and b = 4 in the expression (5 + 2√3)/(7 + ⁴√3) = a + b√3.

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Answer: I am only in 4th grade !

Step-by-step explanation: I dont know ?

The least number of square pieces that Monica can cut from a rectangular cake without wasting any cake is 15 pieces, each 7 inches on a side.

Monica wants to cut a cake into identical square pieces without wasting any cake. To find the least number of square pieces that can be cut from a rectangular cake, we need to find the greatest common divisor (GCD) of the lengths of the sides.

In this case, the GCD of 21 and 35 is 7. This means that we can cut the cake into 7-inch square pieces, and there will be no waste. The number of pieces can be found by dividing each side of the rectangular cake by the side length of the square pieces.

For the 21-inch side, the number of pieces is

21 / 7 = 3

For the 35-inch side, the number of pieces is

35 / 7 = 5

Therefore, the total number of pieces that can be cut from the rectangular cake is

3 * 5 = 15.

In conclusion, the least number of square pieces that Monica can cut from a rectangular cake without wasting any cake is 15 pieces, each 7 inches on a side.

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Answer:

the answer is 261,400 when it's new

Answer:261,400

Step-by-step explanation:

Christian's company charges $0.8 per mile than Samantha's.

In Mathematics and Geometry, the rate of change can be calculated by using the following mathematical equation (formula);

Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change, m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the value of y with respect to the value of x for Christian's company;

Rate of change, m = (43.50 - 22.50)/(20 - 10)

Rate of change, m = 21/10

Rate of change, m = 2.1

Therefore, the difference between the charges by Christian's company and Samantha's company can be calculated as follows;

Difference in charges = 2.1 - 1.30

Difference in charges = $0.8.

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The answer is C. Ability to rust. This is because rusting is a chemical property of a substance, which is caused by environmental factors causing said substance to tarnish.

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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Answer:

True

Step-by-step explanation:

If they are put together properly you can get a triangle

Answer:

A. True

Step-by-step explanation:

It was correct on the test.

The length of time the ball was in the air is 4 seconds.

To find the maximum height of the ball and the time at which it reaches this height, we need to first determine the vertex of the parabolic function h(t) = -16t² + 48t + 64.

The vertex of the parabola is given by the formula:

t = -b / (2a)

where a = -16 and b = 48 are the coefficients of the quadratic function. Substituting these values, we get:

t = -48 / (2(-16)) = 1.5

So the time at which the ball reaches its maximum height is t = 1.5 seconds. To find the maximum height, we substitute this value back into the function:

h(1.5) = -16(1.5)² + 48(1.5) + 64 = 112

Therefore, the maximum height of the ball is 112 feet, and this occurs at t = 1.5 seconds.

To find the length of time the ball was in the air, we need to find the times at which the ball hits the ground. The ball hits the ground when its height is zero, so we need to solve the equation h(t) = 0 for t:

-16t² + 48t + 64 = 0

Dividing by -16, we get:

t² - 3t - 4 = 0

Factoring, we get:

(t - 4)(t + 1) = 0

Therefore, the ball hits the ground at t = 4 seconds and t = -1 second. Since time cannot be negative,

we only consider the positive root t = 4. So the ball is in the air for the time between t = 0 and t = 4 seconds.

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Answer:

\(14\)

Step-by-step explanation:

if you have any questions tag it on comments

hope it helps!!!

Answer:

Step-by-step explanation:

You are given a parallelogram. That means that there are equal angles by the z property.

That means that <3 = 71 degrees.

Answer:

Four (4) terms.

Step-by-step explanation:

36x³ + 27x² - \(18x^{1}\) - \(9x^{0}\)

The gives four terms.

Answer: 22

Step-by-step explanation:

x^2-4y/2

fill in x and y

4^2 - 4(-3)/2

solve the exponent

16 -4(-3)/2

multiply 4 and -3

16 - -12/2

divide -12/2

16- (-6)

2 negatives makes a positive so add 16 + 6

16 + 6 =

22

​

Evaluation of expression are: a) log2(32) = 5 b) 8 is not a factor of 816, hence its log8(816) c) log2(1) = 0

A logarithm is a mathematical function that shows how many times a given base number must be increased to arrive at a specific value. Calculating orders of magnitude, simplifying expressions, and solving equations are just a few of the many mathematical tasks that may be accomplished with logarithms. A number's logarithm is represented by the letter "log" followed by a base-indicating subscript, such as "log base 10" or "log base e" (the natural logarithm).

a) To evaluate the expression log2(32), we need to ask ourselves the question "2 raised to what power equals 32?" The answer is 5, since 2^5 = 32. Therefore, log2(32) = 5.

b) To evaluate the expression log8(816), we need to ask ourselves the question "8 raised to what power equals 816?" We can use the prime factorization of 816 to help us with this. 816 = 2^4 * 3 * 17, and we can see that 8 is not a factor of 816. Therefore, we cannot simplify this expression any further and our answer is just log8(816).

c) To evaluate the expression log2(1), we need to ask ourselves the question "2 raised to what power equals 1?" The answer is 0, since any number raised to the 0th power equals 1. Therefore, log2(1) = 0.

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Answer:scales percent error=3.51%

Step-by-step explanation:

P ercent error = Experimental value - Theoretical value /Theoretical value  x 100

Theoretical value = 6255 grams

Experimental value ( use of scale ) = 6475grams

Percent error =(6475- 6255)grams / 6255grams x 100

=220/6255 x 100

=3.51%

Answer:

Start from coordinate 0, the exact center where the lines meet, then count down four, leave your point at -4 on the middle line.

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The square has a 48 centimeter perimeter.

To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.

Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.

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No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.

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Answer:

51 yards

Step-by-step explanation:

Because every inch is 3 yards... You would multiply 17 by 3 to get it in real life dimensions. 17*3=51

By using the concept of function, it can be seen that the given graph represents a function.

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the values on the x axis represents the domain and the values on the y axis represents the Range.

From the graph it can be seen that

Every point of the domain maps to unique point on the range.

So this is a function

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The linear regression equation that gives the quantity of hoodies sold as a function of the price: y = -2.6147x + 215.34

And the number of hoodies the bookstore can sell if the price is $32. = 131

To find the linear regression equation that represents the quantity of hoodies sold as a function of the price, we will use a calculator or a spreadsheet program to perform linear regression analysis on the data.

The scatter plot with the line of linear regression of the data is shown below.

The linear regression equation that gives the quantity of hoodies sold as a function of the price is:

y = -2.6147x + 215.34

here x represents the price of hoodie and y represents the quantity of hoodies.

Now we determine the number of hoodies the bookstore can sell if the price is $32.

i.e., for x = 32 we need to find the value of y

y = -2.6147(32) + 215.34

y = 131.6696

y ≈ 131

Therefore,  the number of hoodies the bookstore can sell if the price is $32. = 131

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Find the complete question below.

Answer:

A ∪ B = [3, 9)

Step-by-step explanation:

Set X is 3, and all number greater than 3 up, but not including, 5.

Set Y is all numbers from 4 to 9, but not including 4 or 9.

The union of the sets is all numbers from 3 up to 9, including 3 but not including 9.
A ∪ B = [3, 9)

Jaden may have had a ["smaller", "larger"] sample size. The correct choice is: "larger."

Jaden may have had ["more", "less"] variability (a ["larger", "smaller"] standard deviation) in his survey responses.
Your answer: more (a larger standard deviation)

In statistics, the sample size is the measure of the number of individual samples used in an experiment. For example, if we are testing 50 samples of people who watch TV in a city, then the sample size is 50. We can also term it Sample Statistics.

Sample size refers to the number of participants or observations included in a study. This number is usually represented by n.

The size of a sample influences two statistical properties:

1) the precision of our estimates and

2) the power of the study to draw conclusions.

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To calculate the net outward flux of the vector field \(F(x, y, z) = xi + yj + 5k\) across the surface of the solid enclosed by the cylinder x² + z² = 1 and the planes y = 0 and x + y = 2, we can use the Divergence Theorem.

The Divergence Theorem relates the flux of a vector field through a closed surface to the divergence of the vector field within the volume enclosed by that surface. The formula for the Divergence Theorem is: \(\int \int S F .\ dS = \int \int \int V (∇ · F) dV\) where S is the surface of the solid enclosed by the cylinder and the planes, V is the volume enclosed by that surface, F is the given vector field\(F(x, y, z) = xi + yj + 5k, dS\)is the differential element of surface area on S, and ∇ ·

F is the divergence of F. In this case, we have that: \(F(x, y, z) = xi + yj + 5k\), so: ∇ ·\(F = ∂F/∂x + ∂F/∂y + ∂F/∂z = 1 + 1 + 0 = 2\)Therefore, we can simplify the Divergence Theorem to:\(\int \int S F .\ dS = 2 \int \int \int V dV\)We can then evaluate the triple integral by changing to cylindrical coordinates. Since the cylinder has radius 1 and is centered at the origin, we have that \(0 \leq  ρ \leq  1, 0 ≤\leq θ \leq  2\pi , and -\sqrt (1-ρ^2) \leq  z \leq  \sqrt (1-p^2)\).

We can then write the triple integral as: \(\int \int \int V dV = \int ₀^2\pi  \int₀^1 \int -\int(1-p^2)\int(1-p^2) p\ dz\ dρ\ dθ = 2\pi  \int₀^2 ρ \int(1-p^2) dρ = -2\sqrt /3 [1-(-1)^2] = 4\pi /3\)

Therefore, the net outward flux of F across the surface of the solid enclosed by the cylinder and the planes is:\(\int \int S F · dS = 2 \int \int\int V dV = 2(4\pi /3) = 8\pi /3\).

Therefore, the net outward flux of the vector field\(F(x, y, z) = xi + yj + 5k\) across the surface of the solid enclosed by the cylinder \(x^2 + z^2 = 1\) and the planes y = 0 and x + y = 2 is \(8\pi /3\).

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