si hay seis puntos no colineales marcados en un papel ¿ cual es el numero de triangulos que se puede trazar?

Answers

Answer 1

Answer:
(If there are six non-collinear points marked on a paper, what is the number of triangles that can be drawn?)
1.dos

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The profits of two different manufacturing plants can be modeled as shown. Where x is the number of units produced at each plant.Plant 1 : P1 (x) = -0.03x^2 + 25x - 1500

Plant 2 : P2 (x) = -0.02x^2 + 21x - 1700

Find polynomials representing the difference in profits between the companies. Find P1(x) - P2 (x) and P1 (x). Compare the two differences and draw conclusions. Show work and make a equation

Answers

P1(x) - P2(x) = -0.01x² + 4x + 200

This shows that P1(x) profit is less than P2(x).

P2(x) - P1x = 0.01x² - 4x - 200

This shows that P2(x) profit is more than P1(x).

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

Plant 1:

P1 (x) = -0.03x² + 25x - 1500

Plant 2:

P2 (x) = -0.02x² + 21x - 1700

P1(x) - P2(x):

= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)

= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700

= -0.01x² + 4x + 200

For any x value, we will get a negative value.

This means,

P1(x) profit is less than P2(x).

P2(x) - P1x:

= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)

= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500

= 0.01x² - 4x - 200

For any x value, we will get a positive value.

This means,

P2(x) profit is more than P1(x).

Thus,

P1(x) - P2(x) shows that P1(x) profit is less than P2(x).

P2(x) - P1x shows that P2(x) profit is more than P1(x).

Learn more about polynomials here:

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the answer to this is 600

Which statement is always true about the quantities in the function y=x+7

Answers

It is always linear
it has a y intercept at 7 and an X intercept at -7
domain: (-infinity, infinity)
range: (-infinity, infinity)
integral: (1/2) x^2+7×
derivative: 1

Mike recently increased the size of his Jeep tires from the original 29 inch diameter to the larger 33.73 inch diameter. If Mike didn't recalibrate his speedometer, how fast is he really going on the new tires when his speedometer shows he is traveling 60 mph?a. 54.5 mph
b. 62.1 mph
c. 66.1 mph
d. 69.8 mph

Answers

Answer:

d. 69.8 mph

Step-by-step explanation:

Since, the ratio of the diameter of the tyre of a vehicle and its speed must be constant,

Given,

The original diameter of the tyre = 29 inch,

Original speed = 60 mph,

Thus, the ratio of diameter and the speed of the vehicle = $(29)/(60)$

New diameter of the tyre = 33.73 inch,

Let x be the new speed of the vehicle = $(33.73)/(x)$

$\implies (29)/(60)=(33.73)/(x)$

$\implies x=(33.73* 60)/(29)=69.79\approx 69.8\text{ mph}$

Hence, the actual speed of the vehicle would be 69.8 mph.

OPTION D is correct.

Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nick’s credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.) a.$619.68 b.$267.50 c.$1,609.57 d.$1,070.00

Answers

Answer:

Ans. Nick paid $619.68 more than Miles (exactly $619.54). So the answer is A)

Step-by-step explanation:

Hi, first we need to find the equal monthly payments for both, Miles and Nick, for that, we need to find the effective monthly rate (because the payments are going to be made monthly), also, we need to convert that 4 year period into months. After doing all that, we need to use the following equation and solve for "A".

$Present Value=(A((1+r)^(n) -1))/(r(1+r)^(n) )$

Where:

A= monthly payments

r= rate of interest (for Miles is 0.075/12=0.006458 and Nick 0.131/12=0.010916)

n= number of periodic payments (both are 4*12=48 months)

First, let´s find out how much money Miles has to pay every month.

$5,000=(A((1+0.00645833)^(48) -1))/(0.00645833(1+0.00645833)^(48) )$

$5,000=A(41.1594758)$

$A=121.48$

So, Miles has to pay $121.48 every month, for 48 months, that is a total of $5,830.98 (121.48*48=5,830.98)

Now, let´s do Nick

$5,000=(A((1+0.01091667)^(48) -1))/(0.01091667(1+0.01091667)^(48) )$

$5,000=A(37.2063189)$

$A=134.39$

So, Nick has to pay $134.39 every month, for 48 months, that is a total of $6,450.52 (134.39*48=6,450.52)

The difference is 6,450.52- 5,830.98=619.54

Means that Nick has to pay $619.54 more than Miles. To your answers, the closest is A) $619.68.

Best of luck

Miles:7.75% (0.0775) x 5,000 = $387.5 x 4 = $1550 (over four year period)Nick:13.10% (0.131) x 5,000 = $655 x 4 = $2620$2620 - $1550 = $1,070 (rounded to nearest cent)So the answer is D.

Out of 32 students in a class, 5 said they ride their bikes to school. based on these results,how many of 800 students in the school ride threr bikes to school?

Answers

Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students

Express 9-y^2 as the product of two binomial factors.

Answers

This is the difference of squares. Formula is:
A² - B² = ( A - B ) · ( A + B )
9 - y² = 3² - y² = ( 3 - y ) · ( 3 + y )

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