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3 years ago

Write words to match the expression, 3 + (4 × 12)

Mathematics

2 answers:

konstantin123 [22]3 years ago

6 0

Three added to the product of four and twelve

or

The product of four and twelve added by three

Whitepunk [10]3 years ago

5 0

"The product of 4 and 12, then add 3"

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If two objects travel through space along two different curves, it’s often important to know whether they will collide. (Will a

galina1969 [7]

Answer:

<em>Both objects collide at t=3 in the point <9,9,9></em>

Step-by-step explanation:

<em>Collision Of Moving Objects </em>

Two objects can describe different trajectories in the space. Those trajectories can intersect in one or more points but it doesn't mean they collide. Collision occurs if they are in the same position at the same time. If we know the positions as a function of time of each object, we could try so find if, for a given time, they are in the same position.

The positions of two object are given as

$r1(t)=$

$r2(t)=$

Let's find out if there is at least one value of t that makes both positions to be the same. We can try by equating one of the three coordinates and testing if the value of t make both have the same x,y,z coordinate. Let's try equating the x-components of both

$t^2=4t-3$

Rearranging

$t^2-4t+3=0$

Factoring

$(t-1)(t-3)=0$

We found two solutions

$t=1,\ t=3$

for t=1 the x-coordinates are

$x1=t^2=1$

$x2=4t-3=1$

For t=3

$x1=t^2=9$

$x2=4t-3=9$

Now we'll test both values in the y-coordinates

$y1=7t-12$

$y2=t^2$

For t=1

$y1=-5$

$y2=1$

Thus they don't collide at t=1. Let's try t=3

$y1=7(3)-12=9$

$y2=3^2=9$

Now let's try the z-coordinate for t=3

$z1=t^2=9$

$z2=5t-6=9$

Since the three coordinates match, we can say both objects collide at t=3 in the point <9,9,9>

6 0

3 years ago

Rachel solved 50 problems of her Homework correctly and scored 62.5%. How many problems were there in the Homework?

maria [59]

Answer:

Step-by-step explanation:

50 problems/x total = 62.5%

50/62.5=0.8 problem for each percent

0.8 * 100 percent = 80 problems

3 0

3 years ago

Read 2 more answers

The department of public safety has an old memo stating that the number of accidents per week at a hazardous intersection varies

ELEN [110]

Answer:

P-value = 0.1515

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 2.2

Sample mean, $\bar{x}$ = 2

Sample size, n = 52

Alpha, α = 0.05

Population standard deviation, σ = 1.4

First, we design the null and the alternate hypothesis

$H_{0}: \mu =2.2\\H_A: \mu < 2.2$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{2 - 2.2}{\frac{1.4}{\sqrt{52}} } = -1.03$

Now, we calculate the p-value from the normal standard table.

P-value = 0.1515

6 0

3 years ago

Hector found that the container of orange juice in the refrigerator was full. He poured equal amounts of juice into 6 glasses.

gavmur [86]

I think its c 1 2 the answer

5 0

3 years ago

Read 2 more answers

Pleas answer quickly

alexandr1967 [171]

Step-by-step explanation:

I don't understand, why there is this segment about the 0 degrees Kelvin.

any material, water or the glass the water is in, or the air, or the floor or the wall : the higher the temperature (the scale does not matter, as long both temperatures use the same), the more energy it contains (the faster the particles in that substance are moving/vibrating).

therefore a glass of water with 80 degrees will have much more energy than one with 20 degrees.

the same way an aluminum can (the actual name of that material is aluminium, but Americans seemingly cannot pronounce that) with 30 degrees has more energy than one with 20 degrees.

3 0

2 years ago