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yan [13]
3 years ago
8

Which equation, when solved, results in a different value of x than the other three?

Mathematics
1 answer:
Bess [88]3 years ago
4 0
Is there any more information?
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75% of what equals 30
poizon [28]

Answer:

30 is 75% of 40

Step-by-step explanation:

We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75,  x = 40.

And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.

7 0
3 years ago
Read 2 more answers
The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
timofeeve [1]

Given:

The equation of a circle is

x^2+y^2=169

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

m_1=\dfrac{5-0}{12-0}

m_1=\dfrac{5}{12}

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

m\times m_1=-1

m\times \dfrac{5}{12}=-1

m=-\dfrac{12}{5}

Therefore, the gradient or slope of the tangent line l is -\dfrac{12}{5} .

6 0
2 years ago
Solve this question and help save my life!
vlada-n [284]

The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = <u>a2 - a1</u> = 1 - (-2) = 3

= <u>a3 - a2</u> = 4 - 1 = 3

Here, <u>Common difference</u> is <u>same everywhere</u> and the value of d is 3

Then,

<em>To find 6th term of this sequence</em>

<u>a6 = a5 + d</u>

= 10 + 3

a6 = 13

<em>To find </em><em>7</em><em>t</em><em>h term of this sequence</em>

<u>a7 = a6 + d</u>

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

-<u>T</u><u>h</u><u>e</u><u>U</u><u>n</u><u>k</u><u>n</u><u>o</u><u>w</u><u>n</u><u>S</u><u>c</u><u>i</u><u>e</u><u>n</u><u>t</u><u>i</u><u>s</u><u>t</u>

7 0
3 years ago
1.<br> (k — 7)(k – 1) =<br> 0
LenaWriter [7]

Answer:

K = 7 or 1

Step-by-step explanation:

(7-7)(7-1)=0

(1-7)(1-1)=0

3 0
2 years ago
What is the compounded interest if $410 is invested for 10 years at 8% compounded continuously
tatiyna
\bf \textit{Continuous Compounding Amount}\\\\&#10;A=Pe^{rt}\qquad \begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to& \$410\\&#10;r=rate\to 8\%\to \frac{8}{100}\to &0.08\\&#10;t=years\to &10&#10;\end{cases}

so, that gives you  the compounded amount, after 10 years, if you want to know how much interest was earned? well, just subtract the Principal from the Amount, or A - P  <--- that's how much interest was earned
4 0
3 years ago
Read 2 more answers
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