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2 years ago

1. What is the next term of the arithmetic sequence 6, 10, 14, 18

Mathematics

2 answers:

givi [52]2 years ago

8 0

It’s 22 (add 6 after every term)

IRINA_888 [86]2 years ago

5 0

It's 22 it's adding 4

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45% of 80 show your work

Elan Coil [88]

.45 times 80

8 times 4 =32
8 times 0.5 =4

Just add these together to get 36.

4 0

2 years ago

Read 2 more answers

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

1 year ago

PLEASE HELP ASAP!!!!

Fynjy0 [20]

Answer:

It is not valid since there is more than one variable being changed at one.

Step-by-step explanation:

Jackson changed the brand of soil, but he also changes the amount of water, and the amount of sunlight the plants are receiving, so his conclusion that the soil was more effective is not valid.

6 0

2 years ago

A scale model of a rectangular building lot measures 7feet by 5 feet. If the actual house will be built using a scale factor of

Tamiku [17]

Actual area of the rectangular building = 5040 feet²
Step-by-step explanation:
Length of the rectangular building = 7 feet
Width of the rectangular building = 5 feet
Now, The building is made with a scale factor of 12
So, Actual length of the rectangular building = 84 feet
Actual width of the rectangular building = 60 feet
Now, Actual area of the rectangular building = Length × Width
⇒ Actual area of the rectangular building = 84 × 60
⇒ Actual area of the rectangular building = 5040 feet²

5 0

2 years ago

Math binder is 3/4 inches thick how many binders will fit on a shelf 3 feet wide

Zigmanuir [339]

Answer:

48 binders

Step-by-step explanation:

36 inches

3/4 inches

flip around the fractio

36 x 4/3 = 48

OR 36 x 1.25=48

4 0

3 years ago