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3 years ago

What is the value of x

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

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Find the solution of the square root of the quantity of x plus 2 plus 4 equals 6, and determine if it is an extraneous solution.

morpeh [17]

minus 4 both sides

square both sides

x+2=4
minus 2
x=2

<span>the answer is
x = 2; not extraneous</span>

4 0

3 years ago

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Find the 11th partial sum of the summation of negative 7i plus 22, from i equals 1 to infinity.

marta [7]

I think you mean,

$\sum_{i=1}^{\infty}(7i+22)$

You can use the usual formula,

$S_{k}=\frac{k}{2}(a_1+a_k)$

That in this case is,

$S_{11}=\frac{11}{2}(29+99)=704$

Where I have used,

$a_k=7\cdot k +22$

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3 years ago

1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.

NeX [460]

The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².

<h3>How to find the surface area of a rectangular prism</h3>

The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.

Therefore,

surface area of rectangular prism = 2(lw + lh + hw)

where

l = length
w = width
h = height

l = 156 cm

w = 122 cm

h = 95 cm

surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))

surface area of rectangular prism = 2(19032 + 14820 + 11590)

surface area of rectangular prism = 2(45442)

surface area of rectangular prism = 90884 cm²

learn more on surface area here:brainly.com/question/27161212

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2 years ago

Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality repr

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A or C hope that help

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3 years ago

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A population of 2000 starfish has a yearly per capita population growth rate of 0.012. By next year, how do you expect populatio

Alona [7]

Answer:

It will increase by 24 starfish

Step-by-step explanation:

The population is modeled by the following differential equation:

$\frac{dN}{dt} = rN$

Which has the following solution:

$N(t) = N(0)e^{rt}$

In which N(0) is the initial population and r is the growth rate.

A population of 2000 starfish has a yearly per capita population growth rate of 0.012.

This means that $N(0) = 2000, r = 0.012$

By next year, how do you expect population size to have changed?

This is N(1).

$N(t) = N(0)e^{rt}$

$N(1) = 2000*e^{0.012}$

$N(1) = 2024$

2024 - 2000 = 24

So the correct answer is:

It will increase by 24 starfish

4 0

3 years ago