Which measure is equivalent to 1.5 kg?


15 g

150 g

1500 g

15,000 g

The median of the data collected from a track meet  is 2 meters.

The median is the middle number in a sorted, ascending or descending list of numbers.

To calculate the median of the given date, we folloe the steps below.

Collected date: 1, 4, 6, 2, 4, 3, 2/3, 1/3, 1/2

Step 1: Rearreange the date in accending order.

Step 2: Pick the middle of the number in the arranged data

Hence, the median of the data collected is 2 meters.

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Answer:

2.5

Step-by-step explanation:

Answer:

4 11/12

Step-by-step explanation:

2 1/4 + 8/3

9/4 + 8/3

23/12 + 32/12

59/12

4 11/12

By using loan amortization formula, we conclude that, the monthly payment for the new car, including financing and fees, would be $715.49.

Loan amortization is the process of paying off a debt with regular, fixed payments over time, typically with interest. An amortization schedule shows how each payment is allocated between the principal amount and the interest owed, as well as the remaining balance of the loan after each payment.

To calculate the monthly payment for a car loan with financing, we need to use a loan amortization formula. The formula takes into account the loan amount, the interest rate, the length of the loan term, and any other fees or charges.

First, we need to calculate the total loan amount. We start with the price of the car ($29,950) and add the TT&L (8% of $29,950 = $2,396), then subtract the down payment (25% of $31,346 = $7,836.50).

Total loan amount = $29,950 + $2,396 - $7,836.50 = $24,509.50

Next, we need to calculate the monthly interest rate. We divide the annual interest rate (3.16%) by 12 (the number of months in a year).

Monthly interest rate = 3.16% / 12 = 0.2633%

Finally, we can use the loan amortization formula:

Monthly payment = \([P x (r(1+r)^n)] / [(1+r)^n - 1]\)

Where P is the principal amount (total loan amount), r is the monthly interest rate, and n is the number of months in the loan term.

Plugging in the values:

Monthly payment = \([$24,509.50 x (0.002633(1+0.002633)^{36})] / [(1+0.002633)^{36} - 1] = $715.49\)

Therefore, the monthly payment for the new car, including financing and fees, would be $715.49.

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The correct answers are, A, D, and E.

The length is 2 feet and width is 1.5 feet.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.

Given:

1 unit long by 0.75 units wide.

and, 1 unit = 2 feet

Now, the length in feet is

length= 2 feet

and, the width in feet is

width = 0.75 x 2

width = 1.5 feet

Hence, the length is 2 feet and width is 1.5 feet.

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A physical quantity with both magnitude and direction is called a vector quantity.

A vector quantity is a physical quantity that has both magnitude and direction. One example of a vector quantity is velocity, which is defined as the rate of change of an object's position with respect to time. Velocity is a vector quantity because it has both a magnitude (speed) and a direction (the object's motion). For instance, if an object is moving with a speed of 20 meters per second to the north, its velocity would be 20 meters per second north. If the object's direction changes to east, its velocity would become 20 meters per second east. Therefore, velocity is a vector quantity because its value depends not only on the speed of the object but also on the direction in which it is moving.

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Complete Question

Write down a vector quantity and explain your response.

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The perimeter of the figure is the sum of perimeter of equilateral triangle and perimeter of semi - circle which is 41.13 inches

The perimeter of the figure can be calculated using the formula of perimeter of an equilateral triangle and formula of perimeter of a semi-circle.

In this figure, the diameter of the circle is equal to the side length of the triangle.

Perimeter of equilateral triangle = 3 L

L = side length

Perimeter of triangle = 3 * 9 = 27 inches

The perimeter of the semi-circle is given as half the circumference of a circle.

perimeter of semi - circle = πr

perimeter of semi - circle = 3.14 * (9/2)

Peri-meter of semi-circle = 3.14 * 4.5

Perimeter of semi - circle = 14.13 inches

The perimeter of the figure = perimeter of equilateral triangle + perimeter of semi - circle

Perimeter of the figure = 27 + 14.13  = 41.13 inches

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Answer:

B

Step-by-step explanation:

A vertex is where two lines intersect

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The matrix that sends b to bˆ is \(A(A^{T} A)^{-1} A^{T} b\)

A collection of integers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix, are the integers. In addition to several mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

Given Ax = b, we know that xˆ solves the least squares problem:

xˆ \(= (A^{T} A)^{-1} A^{T} b\)

And that bˆ = Axˆ. Therefore, we get bˆ by multiplying both sides of our previous equation by A:

bˆ = Axˆ \(= A(A^{T} A)^{-1} A^{T} b\)

Therefore, the matrix that sends b to bˆ is \(A(A^{T} A)^{-1} A^{T} b\).

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Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Answer:      y = mx + b        m = 8              b = -25

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/4 hours=3/4×60=45 minutes

10:15+5.45 hrs=16:00+0:35=16:35=4.35 pm

so C

Answer:

Yes

Step-by-step explanation:

They are on the same shape, the triangle at the bottom. Coplanar means that they are on the same shape/plane.

Answer:

3.9 milligrams more than the normal or whatever it said

Step-by-step explanation:

you multiply 3.6 by 2 and you get 7.2 then you add 11.8 to that 7.2 which give you 19, then subtract 15.1 from 19 which would give you 3.9 milligrams

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

Answer:

basically count how may spaces are between both numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression has an even power so the number is positive regardless negative sign

The expression using exponents we can rewrite as \(a^2 . c^2\) .

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Answer:

-5+2

Step-by-step explanation:

Answer:

I would say 6 cm too, also can anyone help me on my math? its powers and exponents

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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