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1 year ago

Squaring the product of z and 5 gives the same

Mathematics

1 answer:

n200080 [17]1 year ago

4 0

All the possible values of z can be found using (D) (5z)² = (5 + z)².

<h3>What is an equation?</h3>

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
A mathematical statement made up of two expressions joined by an equal sign is known as an equation.
3x - 5 = 16 is an example of an equation.
We get the value of the variable x as x = 7 after solving this equation.

To find the following equations could be used to find all possible values of z:

The product of z and 5 = 5z
Sum of z and 5 = (5 + z)
Squaring the product of z and 5 gives the same result as squaring the sum of z and 5.
We can express the above statement as:
Squaring 5z gives squaring (5 + z)
So, (5z)² = (5 + z)²

Therefore, all the possible values of z can be found using (D) (5z)² = (5 + z)².

Know more about equations here:

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It costs Doug $30 to set up a cupcake stand. He charges $2 for every cupcake he sells. If Doug makes $48 of profit in one day, h

Lunna [17]

Answer:

It is 39 cupcakes.

Since he charges $2 per cupcake (39), it is 78.

He makes profit so subtract 30 from 78 and you get $48.

6 0

3 years ago

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. The b

givi [52]

The mass of brick is 2478 gram

Solution:

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

The volume of rectangular prism is given as:

$volume = length \times width \times height$

$volume = 8 \times 3.5 \times 2\\\\volume = 56$

Thus volume of brick is 56 cubic inches

Convert inches to centimeter

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of 2.7 grams per cubic centimeter

Density = 2.7 grams

The mass of brick is given by formula:

$mass = density \times volume$

Substituting the values we get,

$mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478$

Thus mass of brick is 2478 gram

7 0

3 years ago

2 ^ x - 12/2 ^ x is equal to -4

Anastaziya [24]

Answer:

-3071/16

Step-by-step explanation:

Hope this helps, if you wrote it wrong or need help understanding please let me know!

4 0

3 years ago

Find the first four nonzero terms in a power series expansion about xequals0 for the solution to the given initial value problem

IgorC [24]

Answer:

The first four terms are;

w(x)= 4 + 2x² - ⁵/₆x⁴+ ¹¹/₃₆x⁶ +......

Step-by-step Explanation:

This is the interpretation of the question

w″ + 3xw′ -w=0

W(0)=4

W′(0)=0

CHECK THE ATTACHMENT FOR STEP BY STEP EXPLANATION

7 0

3 years ago

How do I factorise 2t^2 + 5t +2

alekssr [168]

$2t^2+5t+2\\\\a=2;\ b=5;\ c=2\\\\\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ t_1=\frac{-b-\sqrt\Delta}{2a}\ and\ t_2=\frac{-b+\sqrt\Delta}{2a}\\\\\Delta=5^2-4\cdot2\cdot2=25-16=9;\ \sqrt\Delta=\sqrt9=3\\\\t_1=\frac{-5-3}{2\cdot2}=\frac{-8}{4}=-2;\ t_2=\frac{-5+3}{2\cdot2}=\frac{-2}{4}=-\frac{1}{2}\\\\2t^2+5t+2=2(x+2)(x+\frac{1}{2})$

5 0

3 years ago