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3 years ago

Jose is driving to Denver. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in

Mathematics

1 answer:

PolarNik [594]3 years ago

3 0

Answer:

63.2 miles

Step-by-step explanation:

The given slope and point can let us use the point-slope form of the equation for a line:

y = m(x -x1) +y1

y = -0.95(x -50) +48

We want to find the value of y for x=34.

y = -0.95(34 -50) +48 = 63.2

Jose had 63.2 miles remaining after driving 34 minutes.

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Why is the answer c? Please help, my teacher doesn’t understand vectors.

kherson [118]

A vector is basically an arrow that tells you where to go. Specifically it tells you a direction and how far. The direction component is the angle. The "how far" component is the magnitude or modulus or length of the vector.

For choice C in the upper right hand corner, we see that the vector 'a' starts off on the right side and points directly to the left. It's a horizontal vector. The arrow is at the left side. After going from tail to tip along vector 'a', we repeat the same motions for vector b. Think of it as following directions on a map. To take a shortcut, we follow the resultant vector r. This takes us from the tail of vector 'a' to the tip of vector b without any obstacles or deviations. So this is why choice C is the answer.

Note: if you use the parallelogram law for choice A, then the resultant vector will be the same as shown in choice C. This is of course assuming that each vector 'a' is the same length and direction between the two answer choices. The same assumption is for the b vector as well. Choice D is close to what choice C is saying, but the arrow for r is pointed the wrong way. The arrow head must be pointed at the tip of vector b which is the final destination we want.

6 0

2 years ago

A pipe is at least 21 feet long and you want to cut it into 3 pieces. The second piece is to be twice as long as the first piece

fgiga [73]

Answer:

the minimum length of the first piece is 4 feet

6 0

3 years ago

Graph f(x)=−0.5x+3. Use the line tool and select two points to graph the line.

NikAS [45]

Answer: These are some points of the grahp:

(-2,4)

(0, 3)

(2, 2)

Explanation:

1) f(x) = -0.5x + 3, is the equation of the form y = mx + b

2) y = mx + b is slope-intercept equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.

3) To graph f(x) = -0.5x + 3, follow these steps:

draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.
draw marks on each axis, each mark equivalent to one unit.
the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).
you can make a table with two or more points:

x f(x) = - 0.5x + 3

-2 4

0 3

2 2

4 1

6 0

4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.

8 0

3 years ago

Read 2 more answers

The marketing department of a sports supply store wants to estimate the percentage of adults in the town who belong to a gym.

velikii [3]

A) If you only sample people in a sports supply store, your sample will be biased. People in a sports supply store are more likely to be people that belong to a gym.
B) While it does not have necessarily the same amount of bias as sampling people in the sports supply store, people that go to a park are generally more likely to be people that exercise or have a gym membership.
C) Taking a random sample of people in town is a good way to get a non-biased sample. They are not necessarily predisposed to answer your question one way or another.
D) For the same reason as choice A, this is a biased sample.

C is the best choice.

4 0

2 years ago

Point Q is the center of dilation. Line segment L M is dilated to created line segment L prime M prime. The length of L Q is 4 a

koban [17]

Answer:

The length of segment QM' = 6

Step-by-step explanation:

Given:

Q is the center of dilation

Pre-image (original image) = segment LM

New image = segment L'M'

The length of LQ = 4

The length of QM = 3

The length of LL' = 4

The original image was dilated with scale factor = 2

QM' = ?

To determine segment QM', first we would draw the diagram obtained from the given information.

Find attached the diagram

When a figure is dilated, we would have similar shape in thus cars similar triangles.

Segment L'M' = scale factor × length of LM

Let LM = x

L'M' = 2x

Using similar triangles theorem, ratio of their corresponding sides are equal.

QM/LM = QM'/L'M'

3/x = QM'/2x

6x = QM' × x

Q'M' = 6

The length of segment QM' = 6

5 0

2 years ago

Read 2 more answers