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babunello [35]
3 years ago
11

What is the coefficient in the expression 3x/13+4?

Mathematics
2 answers:
Reptile [31]3 years ago
6 0
<span>A coefficient in the expression is a numerical or constant quantity that is placed before and multiplying the variable in an algebraic expression, for example in expression 5x + 4; 5 is the coefficient.
So in the given expression 3x/13 + 4. 3 / 13 is the coefficient of x, as 3 / 13 is multiplying with x.</span>
Annette [7]3 years ago
6 0

Answer:3/13

Step-by-step explanation:

Just took test

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The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.
Olin [163]

Answer:

h = 5\ cm

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

h = B-5.

 The area of the triangle is 25 cm²

By definition the area of a triangle is:

A = 0.5Bh

For this triangle we know that A = 25\ cm^2 and h = B-5. We substitute these values in the equation and solve for B.

25 = 0.5B (B-5)

0.5B ^ 2-\frac{5}{2}B-25 = 0

Now we use the quadratic formula to solve the equation.

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

B=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:  a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25

Then:

B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}

B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}

B=\frac{5}{2}\±\frac{15}{2}

The solutions are:

B_1=\frac{5}{2}+\frac{15}{2}=10

B_2=\frac{5}{2}-\frac{15}{2}=-5

For this problem we take the positive solution.

B=10\ cm

Now we substitute the value of B in the equation to find the height h

h = 10-5

h = 5\ cm

6 0
3 years ago
Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
Someone who actually knows what they doing please ‍♀️
mariarad [96]

Answer:

5/9 (F-32) = 25

Step-by-step explanation:

5/9 (F-32) = C

Multiply each side by 9/5

5/9 * 9/5 (F-32) =9/5 C

F -32 = 9/5 C

Add 32

F -32 +32 = 9/5 C +32

F = 9/5 C +32

We want 25 C to Fahrenheit

F = 9/5 *25 +32

F = 9*5 +32

F = 45+32

F = 77

5 0
3 years ago
Hey can anyone help me with this problem please and thank you
krok68 [10]

Answer:

x=20

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Convert 17⁄8 to a decimal, rounded to the nearest hundredth. A. 2.13 B. 2.44 C. 1.78 D. 1.14
11111nata11111 [884]
Hey there! :)

All you have to do is divide the numerator(top number) by the denominator(bottom number).

17 ÷ 8 = 2.125

Rounded to the nearest hundredth = 2 places after the decimal point.

After the 2 is a 5. If it's 5 or greater, you move it up by 1.

2 + 1 = 3

2.125 = 2.13

Your answer is A ⇒ 2.13

Hope this helps :)


3 0
3 years ago
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