Marietta drives her tow truck 312 miles in 8 hours. What is her average speed in miles per hour? Be sure to include the equation for speed in your answer.

In algebra, terms are separated by addition (+), subtraction (-), multiplication (x), and division (÷) symbols. The equals (=) sign is used to show equality, not to separate terms.

In the realm of mathematics, particularly in algebra, algebraic terms are separated by addition (+), subtraction (-), multiplication (x), and division (÷) symbols. These operations are the main components that allow us to manipulate and solve algebraic expressions and equations. For example, in the expression 3x - 2y + 5z, the terms (3x, 2y, 5z) are separated by subtraction (-) and addition (+) symbols. Please note that the equals (=) sign does not separate terms; rather, it is used to show the equality between two mathematical expressions.

https://brainly.com/question/33577799

#SPJ11

Final answer:

Algebraic terms are separated by plus (+) and minus (-) signs, which denote addition or subtraction between terms in an expression.

Explanation:

Algebraic terms are separated by plus (+) and minus (-) signs.

These signs denote addition or subtraction between terms in an algebraic expression.

While the multiplication sign (x) and division sign (÷) indicate operations between terms, they do not separate independent terms within an expression.

For instance, in the expression 2x + 3y - 5z, the plus and minus signs separate the terms 2x, 3y, and 5z.

(Apologies since this is extremely late; hopefully this helps future people who need help with this question.)

Answer:

The image below would be the correct construction :)

Answer:

It is a variable

Step-by-step explanation:

A variable is a characteristic, number, or quantity that increases or decreases over time or takes different values in different situations. Hope this helps.

The value of the given trigonometric ratio tan 39° is approximately 0.8098.

Use the concept of trigonometric ratio defined as:

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are several distinctive trigonometric identities that relate to a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

The given trigonometric ratio is: tan 39°

Since,

[tex]\text{tan }\theta = \dfrac{\text{sin }\theta}{\text{cos }\theta}[/tex]

The value of the sine of 39° is approximately 0.6293.

The value of the cosine of 39° is approximately 0.7771.

Therefore,

tan 39° = 0.6293 / 0.7771

tan 39°≈ 0.8098     (After rounding to four decimal places).

Hence,

The required value tan 39° is approximately 0.8098.

To learn more about trigonometric ratios visit:

https://brainly.com/question/29156330

#SPJ6

Answer:

r and s are parellel

Step-by-step explanation:

The correct answer is that lines 4 and 5 are parallel if  [tex]\( m_4 = m_5 \).[/tex]

Answer:

Option b is correct

5b; when b = 3.4 miles , the distance Sandra rode is 17 miles

Step-by-step explanation:

Here, b represents the distance Barbara rode.

As per the statement:

Sandra rode her bike 5 times as many miles as Barbara.

⇒[tex]\text{Distance Sandra rode} = 5b[/tex] miles           ....[1]

It is also given that:

the distance Barbara rode, equals 3.4 miles

⇒[tex]b = 3.4[/tex] miles

Substitute in [1] we have;

[tex]\text{Distance Sandra rode} = 5(3.4)=17[/tex] miles

Therefore, the correct expression and distance Sandra rode is

5b ; when b = 3.4 miles , the distance Sandra rode is 17 miles

This is an exponential growth problem. Let's write the equation for exponential growth.

[tex]P=P_{0} (1+r)^{n}[/tex]

Where,

From the problem, we know initial number of views, [tex]P_{0}[/tex], is 25. Rate of increase, r, is 0.18. Time, n, is 4 weeks. Plugging in these values in the equation and solving for P will give us the number of views expected in four weeks time.

[tex]P=(25)(1+0.18)^{4}\\=(25)(1.18)^{4}\\=48.47[/tex]

Rounding to nearest whole number, it is 48.

ANSWER: 48

The equation of the tangent line to the curve y = 2sinx at the point (pi/6,1) is y = sqrt(3)x + (1 - sqrt(3)(pi/6)).

To find the equation of the tangent line to the curve y = 2sinx at the point (pi/6, 1), we need to find the slope of the curve at that point. The slope of a curve at a point is equal to the derivative of the function at that point.

Taking the derivative of y = 2sinx, we have dy/dx = 2cosx. Evaluating this derivative at x = pi/6, we get dy/dx = 2cos(pi/6) = sqrt(3). Therefore, the slope of the tangent line is sqrt(3).

Now we have the slope and a point on the line, (pi/6, 1). We can use the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Plugging in the values, we have y - 1 = sqrt(3)(x - pi/6).

Simplifying this equation, we get y = sqrt(3)x - sqrt(3)(pi/6) + 1. Finally, we can rewrite the equation in the form y = mx + b by simplifying the y-intercept, giving us y = sqrt(3)x + (1 - sqrt(3)(pi/6)).

https://brainly.com/question/39323392

#SPJ3

Answer:

its (c) 3 1/2

Step-by-step explanation:

The area of the square as a product is a multiplication of the two sides.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

The square is a quadrilateral having all the sides to be equal and all the angles at 90 degrees. The area of the square will be calculated as,

Area = side x side

Therefore, the area of the square as a product is a multiplication of the two sides.

To know more about an area follow

https://brainly.com/question/25092270

#SPJ5

The probability of getting 3 tails, when tossing a coin 4 times is 25%

To find the probability of getting 3 tails when tossing a coin 4 times, we can use the binomial probability formula:

[tex]\[ P(X = k) = \binom{n}{k} \times p^k \times (1 - p)^{n - k} \][/tex]

Where:

- P(X = k) is the probability of getting exactly k successes (in this case, 3 tails).

- n is the number of trials (coin tosses).

- k is the number of successes we are interested in (in this case, 3 tails).

- p is the probability of success on each trial (in this case, the probability of getting tails).

- [tex]\( (1 - p) \)[/tex] is the probability of failure on each trial (in this case, the probability of getting heads).

Since the coin is fair, the probability of getting tails p is [tex]\( \frac{1}{2} \)[/tex], and the probability of getting heads [tex](\( 1 - p \))[/tex] is also [tex]\( \frac{1}{2} \)[/tex].

Substituting these values into the formula:

[tex]\[ P(X = 3) = \binom{4}{3} \times \left(\frac{1}{2}\right)^3 \times \left(1 - \frac{1}{2}\right)^{4 - 3} \][/tex]

[tex]\[ P(X = 3) = \binom{4}{3} \times \left(\frac{1}{2}\right)^3 \times \left(\frac{1}{2}\right)^1 \][/tex]

[tex]\[ P(X = 3) = 4 \times \left(\frac{1}{8}\right) \times \left(\frac{1}{2}\right) \][/tex]

[tex]\[ P(X = 3) = \frac{4}{16} \][/tex]

[tex]\[ P(X = 3) = \frac{1}{4} \][/tex]

To express the probability as a percentage, we multiply by 100:

[tex]\[ P(X = 3) = \frac{1}{4} \times 100\% = 25\% \][/tex]

Therefore, the probability of getting 3 tails when tossing a coin 4 times is 25%.

Answer:

[tex]f(x)=\dfrac{1}{4}x+25[/tex]

Step-by-step explanation:

Clearly from the graph we could see that it passes through two points (0,25) and (20,30) and also as the graph is linear so with the help of these two points we can find the relation between f(x) and x.

We know that the equation of a line passing through two points (a,b) and (c,d) is given by:

[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]

Here we have:

y=f(x) , (a,b)=(0,25) and (c,d)=(20,30).

Hence the equation of this graph is given as:

[tex]f(x)-25=\dfrac{30-25}{20-0}\times (x-0)\\\\f(x)-25=\dfrac{5}{20}\times x\\\\f(x)-25=\dfrac{1}{4}\times x\\\\f(x)=\dfrac{1}{4}x+25[/tex]

Hence,

[tex]f(x)=\dfrac{1}{4}x+25[/tex]