On a number line, C is at -6 and D is at 14. What is the coordinate of E, which is 1/4 of the way from C to D?

The nth term of a sequence is 3n^2 +4.work out the third term of this sequence

murzikaleks [220]

N is the term that you are looking for. it asked for the 3rd term so you replace n with 3. now its : 3 x 3^2 + 4 . you use the order of PEMDAS:

P arenthesis
E xponents
M ultipication
D ivision
A ddition
S ubtraction

you start with parenthesis but there are none so now exponents. 3^2 is 3 x 3. that would be: 3 x 3 = 9.

now multiplication. 3 x 9 + 4. 3 x 9 = 27

now division. there is none. so now addition and there is. 27 + 4 = 31.

then subtraction but there is none. so now you are done.

the 3rd term is therefore 31.

i hope that i helped.

3 0

3 years ago

A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the

aliina [53]

Answer:

$C = (30,500)$

Step-by-step explanation:

Given

$Area = 1800ft^2$

$A = (6,0)$

$B = (0,25)$

$C(x,y) = (30,y)$

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

$Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}$

This gives:

$1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(0- 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(-25)|}{2}$

$1800= \frac{|150 - 6y -750 |}{2}$

$1800= \frac{|150 -750- 6y |}{2}$

$1800= \frac{|-600- 6y |}{2}$

Multiply through by 2

$2 * 1800= |-600- 6y|$

$3600= |-600- 6y|$

$3600= |-(600+ 6y)|$

$3600= 600+ 6y$

Solve for 6y

$6y = 3600 - 600$

$6y = 3000$

Solve for y

$y = 3000/6$

$y = 500$

Hence:

The point is:

$C = (30,500)$

7 0

3 years ago

Paola had 13 pounds of coffee beans to divide among 6 people. How many pounds of coffee should each person receive?

Juliette [100K]

Answer:

2

Step-by-step explanation:

here is how to do it 13/6=2

6 0

3 years ago

When testing whether the correlation coefficient differs from zero, the value of the test statistic is t20=1.95 with a correspon

expeople1 [14]

Given:
value of the test statistic is t20 = 1.95
corresponding p-value of 0.0653 at the 5% significance level

No, I can't conclude that the correlation coefficient differs from zero because the p-value, which is 0.0653 exceeds 0.05.

The correlation coefficient differs from zero when the p-value is less than 0.05.

3 0

3 years ago

Erin has $45,688 in sales. If her commission rate Is 2.9% , what is the amount of her commission?

posledela

Answer:

The amount of her commission is $1,324.952

Step-by-step explanation:

1. You have the following information given in the problem above:

- Erin has $45,688 in sales.

- Erin's commission rate is 2.9% (0.029).

2. Therefore, to solve this exercise you must multiply the commission rate by her sales, as following:

$(45,688)(0.029)=1,324.952$ dollars

3 0

3 years ago