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3 years ago

Evaluate |-6| + 2|-4| - 3|6|

1 answer:

7 0

|-6| + 2|-4| - 3|6|

get rid of the absolute values so it's

 6+ 2(4)- 3(6)

do PEMDAS

6+8-18

=-4

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A gardener is planting two types of trees:

denpristay [2]

It takes 12 years for both trees to be of same height

Solution:

Assume the year that it would take to these trees have the same height is : x (years)

Type A is 7 feet tall and grows at a rate of 23 inches per year:

Convert 7 feet to inches

We know that,

1 foot = 12 inch

7 feet = 12 x 7 inch = 84 inch

Thus, type A is 84 inches tall and grows at a rate of 23 inches per year

We can frame a equation as:

Type A = 84 + 23(number of years)

Type A = 84 + 23x ---------- eqn 1

Type B is 5 feet tall and grows at a rate of 25 inches per year

Convert 5 feet to inches

5 feet = 5 x 12 inches = 60 inches

Thus, type B is 60 inches tall and grows at a rate of 25 inches per year

We can frame a equation as:

Type B = 60 + 25(number of years)

Type B = 60 + 25x --------- eqn 2

For both the trees to be of same height, eqn 1 must be equal to eqn 2

84 + 23x = 60 + 25x

25x - 23x = 84 - 60

2x = 24

x = 12

Thus it takes 12 years for both trees to be of same height

7 0

3 years ago

Someone please do this for me to be the brainliest personnn I will love you forever

laila [671]

Answer:

1) 2

2) -7/6

3) -5/4

4) -1/2

5) -13/28

6) 9/7

Step-by-step explanation:

5) (-6-7)/(17-(-11))=-13/28

6) (4-(-5)/(3-(-4))=9/7

5 0

3 years ago

Proves that the sum of 5 consecutive natural numbers is divisible by 5

erastova [34]

Answer:

n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLEASE HELP!!!! IM SOO CONFUSED

dangina [55]

Answer:

4. 480.38m² 6. 3.35

Step-by-step explanation:

Assuming you're looking for the area of the shaded region, you must first be aware that the entire circle has a 360 angle.

From there. for no. 4:

You subtract 87 from 360 to find the angle of the major arc.

360-87=273

From there you must also know the formula to find the area of a sector which is:

(x/360)×pi×r²

In our case 273 is x and 14.2 is r so

(273/360)×pi×14.2²= 480.38

Do the same steps to find 6

5 0

3 years ago

Write an explicit rule in function form for the sequence represented by the given terms.

hram777 [196]

Answer:

The general relation about a geoemtric sequence is

$a_{n}=a_{1}r^{n-1}$

For the first sequence, we have

$3=a_{1}r^{5-1}$

$147=a_{1}r^{7-1}$

Which is a system of equations. We can isolate a variable in the first equation to replace that expression into the second equation.

$a_{1}=\frac{3}{r^{4} }$

$147=\frac{3}{r^{4} }r^{6}$

$r^{2}=\frac{147}{3}\\ r=\sqrt[2]{49}\\r=7$

Now, we replace this value to find the other one

$3=a_{1}(7)^{4}\\ a_{1}=\frac{3}{2401}$

Therefore, the explicit rule function is

$a_{n}=\frac{3}{2401} \times (7)^{n-1}$

Now, we use the same process for the second sequence.

$10=a_{1}r^{3-1} \\a_{1}=\frac{10}{r^{2} }$

The second equation is

$1440=a_{1}r^{5-1}\\a_{1}=\frac{1440}{r^{4} }$

Now, we solve the following expression

$\frac{10}{r^{2} }=\frac{1440}{r^{4} }$

We solve for $r$

$\frac{r^{4} }{r^{2} }=\frac{1440}{10}\\r^{2}=144\\ r=\sqrt{144} \\r=12$

Then

$a_{1}=\frac{10}{(12)^{2} } =\frac{10}{144}=\frac{5}{72}$

Therefore, the function that models the second sequence is

$a_{n}=\frac{5}{72} \times (12)^{n-1}$

Notice that $a_{n}$ is the dependent variable and $n$ is the independent variable.

5 0

3 years ago