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3 years ago

3) reflection across y=-x

Mathematics

1 answer:

Mila [183]3 years ago

3 0

X and Y change places and are negated. For example (2,4) would become (-4,-2)

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the prime factorization of a number is 2 to the power of 3 x 3 to the power of 2 x5 wich statement is true about these factors?

Naddik [55]

Answer:

Fifteen is a factor of the number because both 3 and 5 are prime factors.

Step-by-step explanation:

2^3 * 3^2 * 5

= 2 * 2 * 2 * 3 * 3 * 5

As you can see from, the prime factors are 2, 3, and 5.

3 × 5 = 15, option A is correct.

7 0

3 years ago

Read 2 more answers

The lengths of two sides of a triangle are 3 feet and 5 feet. Which could be the length of the third side?

aivan3 [116]

Answer:

b) 8 feet

Step-by-step explanation:

5+3=8

So, the answer will be 8

6 0

3 years ago

What is the difference between discrete vs continuous data

Sergeeva-Olga [200]

With continuous data, it is possible to find the midpoint of any two distinct values. For instance, if h = height of tree, then its possible to find the middle height of h = 10 and h = 7 (which in this case is h = 8.5)

On the other hand, discrete data can't be treated the same way (eg: if n = number of people, then there is no midpoint between n = 3 and n = 4).

-------------------------------------

With that in mind, we have the following answers

1) Continuous data. Time values are always continuous. Any two distinct time values can be averaged to find the midpoint

2) Continuous data. Like time values, temperatures can be averaged as well.

3) Discrete data. Place locations in a race or competition are finite and we can't have midpoints. We can't have a midpoint between 9th and 10th place for instance.

4) Continuous data. We can find the midpoint and it makes sense to do so when it comes to speeds.

5) Discrete data. This is a finite number and countable. We cannot have 20.5 freshman for instance.

4 0

3 years ago

Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in

Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

- He financing the rest at 4.8% interest rate for 3 years

* Lets find the rule of the monthly payment

∵ $pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1}$ , where

- pmt is the monthly payment

- P = the investment amount

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 8800

∵ r = 4.8/100 = 0.048

∵ n = 12

∵ t = 3

∴ $pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}$

∴ $pmt=\frac{0.004[8800(1.004)^{36}]}{(1.004)^{36}-1}=262.95$

* The monthly payment is $262.95

8 0

3 years ago

A cargo elevator has a maximum carrying capacity of 400 pounds. If each cargo box weighs 25 pounds, what is the maximum number o

daser333 [38]

Answer:

Step-by-step explanation:

400÷25

=16

25×16

=400

5 0

3 years ago