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Gala2k [10]
2 years ago
11

The expression x-y equals 0.7 if x and y have certain values. Evaluate the following expression with the same values of x and y

Mathematics
1 answer:
Arisa [49]2 years ago
7 0

Answer:

<h2>3.5</h2>

Step-by-step explanation:

<h2>We already know that x-y equals to 0.7,</h2><h2>so 5(x-y) would just be 5(0.7), with this the answer would equal to 3.5. </h2>

<em>***I hope this helps and the explanation is helpful!***</em>

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2. One angle is one less than six times the measure of
Illusion [34]

The equations used to find the measure of each angle in degrees is x + y = 90 and x = 6y - 1

The two complementary angles are 77 degrees and 13 degrees

<em><u>Solution:</u></em>

Given that two angles are complementary angles

Complementary angles are two angles whose sum is 90 degrees

Let one of the angle be "x" and the other angle be "y"

Therefore,

x + y = 90 ------ eqn 1

Also given that,

One angle is one less than six times the measure of  another

one angle = six times the other angle - 1

x = 6y - 1 ------ eqn 2

Substitute eqn 2 in eqn 1

6y - 1 + y = 90

Thus the above equation is used to find the measure of each angle in degrees

Solve the above equation

6y + y - 1 = 90

7y - 1 = 90

7y = 91

y = 13

Substitute y = 13 in eqn 2

x = 6(13) - 1

x = 78 - 1

x = 77

Thus the two complementary angles are 77 degrees and 13 degrees

8 0
3 years ago
Does the set {t, t Int} form a fundamental set of solutions for t^2y" -- ty' +y = 0?
Ivanshal [37]

Answer:

yes

Step-by-step explanation:

We are given that a Cauchy Euler's equation

t^2y''-ty'+y=0 where t is not equal to zero

We are given that two solutions of given Cauchy Euler's equation are t,t ln t

We have to find  the solutions are independent or dependent.

To find  the solutions are independent or dependent we use wronskain

w(x)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.

Let y_1=t,y_2=t ln t

y'_1=1,y'_2=lnt+1

w(x)=\begin{vmatrix}t&t lnt\\1&lnt+1\end{vmatrix}

w(x)=t(lnt+1)-tlnt=tlnt+t-tlnt=t where t is not equal to zero.

Hence,the wronskian  is not equal to zero .Therefore, the set of solutions is independent.

Hence, the set {t , tln t} form a fundamental set of solutions for given equation.

6 0
3 years ago
a local parts shop buys a machine that costs $500,000. its value depreciates exponentially each year by 10%. what is the machine
jeka94
Hello!

Answer:

$295.295

Explanation:

Of the statement, we have that the price of the machine decreased 10% every year exponentially, so in the first year it real value drops to 90% of the costs. For 5 years, It can be expressed and simplified by the following equation:

We can't use that the percent drop as a percent itself, so we are going to divide 90% by 100%, and it will give us an entire number.

\frac{90}{100}=0,9 \\ \\ Value=Costs.(0.9)^{years}


By substituting we have:

Value=500000.(0.9)^{5}

Value: $295.245


Have a nice day!



8 0
2 years ago
What is the slope of the line
vfiekz [6]

Answer: 3

You can find slope by using the 'rise over run' method. Find 2 clear points and count the number of units between those points, across the x axis and up the y axis. You should have 3/1 (y/x) as your slope.

6 0
3 years ago
Read 2 more answers
Calculate the force when the pressure is 18 N/M squared and the area is 4 M squared.
Doss [256]
The force is 72 Newton
8 0
3 years ago
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