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3 years ago

Find the given value of the function. w(t) = 3t – 1; t =1/3

Mathematics

1 answer:

natima [27]3 years ago

5 0

Answer:

1/3

Step-by-step explanation:

differentiate first equation to get t , then replace t with 1/3

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Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the len

nataly862011 [7]

Answer:

The length of the field on the drawing is 55 cm.

Step-by-step explanation:

Given:

Mark made a scale drawing of a soccer field.

Using a scale of .5 cm=1 m.

The actual length of the field is 110 m.

Now, to find the length of the field on drawing.

Let the length of the field on drawing be $x.$

As given 0.5 cm is equivalent to 1 m.

Thus, $x$ is equivalent to 110 m.

Now, to get the length of the field on drawing by using cross multiplication method:

$\frac{0.5}{1} =\frac{x}{110}$

By cross multiplying we get:

⇒ $55=x$

⇒ $x=55$

Therefore, the length of the field on the drawing is 55 cm.

8 0

3 years ago

How do you find the perimeter on a coordinate plane

hoa [83]

Answer: You draw the shape on the coordinate plan and then you can count the number of unit squares

Step-by-step explanation:

4 0

1 year ago

CAN SOMEONE HELP ME ASAP???? Find the gradient of the line 2y = -10x + 1

Mice21 [21]

Answer:

Gradient = -5

Step-by-step explanation:

The gradient of a line is the slope of the line.

The standard form of the line equation is y = mx + b

where m is the slope ( or gradient) b is the y - intercept.

Given :

2y = -10x + 1

$y = -\frac{10}{2} x + \frac{1}{2}\\\\y = -5x + \frac{1}{2}\\\\Therefore , \ gradient \ is \ -5$

4 0

3 years ago

Read 2 more answers

Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine

NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is $A=\frac12bh$ . One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in $x=0$ .

Which gives you this when you plug it into both equations:

$-y=1\\y=-1\\y=8$

So the y-intercepts for the graphs are $(0,-1)\\$ , and $(0,8)$ respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

$x-y=1\\2x+y=8\\3x=9\\x=3$

Now to solve for the y component substitute:

$2(3)+y=8\\y=2$

Therefore, the graphs intersect at the following:

$(3,2)$

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

$b=8-(-1)\\b=9$

The height must also be accounted for which is the following:

$h=3$

Now the formula can be used:

$A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2$

7 0

3 years ago

Read 2 more answers

Find an equation of the line that satisfies the given condition. (Let x be the independent variable and y be the dependent varia

NeTakaya

Answer:

y = 4

Step-by-step explanation:

A line parallel to the x-axis has the same value of the dependent variable (y) for all the values of the independent variable (x). Hence, the line would be an horizontal line that passes through the y-axis and never meets the x-axis. Since this line satisfies the condition of passing through the coordenates (x,y), (-6,4), then the equation is equal to the value of the coordinate y.

Therefore, the equation of a line that satisfies these two conditions is y = 4.

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8 0

3 years ago