Electron rescued 5 dogs and 3 cats this week.
If this happens every week for 6 weeks, how many animals
will Electron rescue?

Answer:

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Step-by-step explanation:

At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:

[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)

Where:

[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.

[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.

If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:

[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]

[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]

[tex]\overrightarrow{AB} = (-12,12)[/tex]

Besides, we can find the location of any point inside the line segment by using the following vectorial equation:

[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)

Where:

[tex]r[/tex] - Segment factor, dimensionless.

[tex]\vec C[/tex] - Location of resulting point, dimensionless.

There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:

[tex]r_{1} = \frac{1}{4}[/tex]

[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]

[tex]\vec C_{1} =(-1,7)[/tex]

[tex]r_{2} = \frac{3}{4}[/tex]

[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]

[tex]\vec C_{2} = (-7,13)[/tex]

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

Answer:

35

Step-by-step explanation:

Here, the shaded region is equal to the non-shaded triangle. To know why this is, look at the formula for a triangle: A = b*h/2. But if we look further, we also know that the area of a rectangle is A = b*h. So the area of a rectangle is twice that of a triangle. And this is always true as long as the dimensions are the same. So here, the shaded region is just (14*5)/2 which is 35. We can also find this out by calculated the area of a rectangle and minus the area of the rectangle.

Answer:

y = -3x + 12/2

Step-by-step explanation:

Step 1: Add -x to both sides

x + 2/3 + -x = 4 + -x

2/3y = -x + 4

Step 2: Divide both sides by 2/3

2/3y ÷ 2/3 = -x + 4 ÷ 2/3

y = -3x + 12/2

Answer:

25%

Step-by-step explanation:

1. there are 8 triangles

2. 2 twos

3. 2/8

4. 2/8=25%

Answer:

7 hours

Step-by-step explanation:

56/8=7

Answer:

the answer is 45 if its is what you need

Step-by-step explanation:

i got 100 on test and had that question

Answer:

=36

Step-by-step explanation:

Step-by-step explanation:

for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....

so we have to multiply 3×3×4

=36

so if we divide 36 by 3 ,4 OR 9

we will not find any remainder

Answer:

-4

Step-by-step explanation:

Answer:

The ball makes the field goal.

The magnitude of the velocity of the ball is approximately 18.166 meters per second.

The direction of motion is -45.999º or 314.001º.

Step-by-step explanation:

According to the statement of the problem, we notice that ball experiments a parabolic motion, which is a combination of horizontal motion at constant velocity and vertical uniform accelerated motion, whose equations of motion are described below:

[tex]x = x_{o}+v_{o}\cdot t\cdot \cos \theta[/tex] (Eq. 1)

[tex]y = y_{o} + v_{o}\cdot t \cdot \sin \theta +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (Eq. 2)

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Coordinates of the initial position of the ball, measured in meters.

[tex]x[/tex], [tex]y[/tex] - Coordinates of the final position of the ball, measured in meters.

[tex]\theta[/tex] - Angle of elevation, measured in sexagesimal degrees.

[tex]v_{o}[/tex] - Initial speed of the ball, measured in meters per square second.

[tex]t[/tex] - Time, measured in seconds.

If we know that [tex]x_{o} = 0\,m[/tex], [tex]y_{o} = 0\,m[/tex], [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]x = 40\,m[/tex], the following system of equations is constructed:

[tex]40 = 12.618\cdot t[/tex] (Eq. 1b)

[tex]y = 18.021\cdot t -4.904\cdot t^{2}[/tex] (Eq. 2b)

From (Eq. 1b):

[tex]t = 3.170\,s[/tex]

And from (Eq. 2b):

[tex]y = 7.847\,m[/tex]

Therefore, the ball makes the field goal.

In addition, we can calculate the components of the velocity of the ball when it reaches the field goal post by means of these kinematic equations:

[tex]v_{x} = v_{o}\cdot \cos \theta[/tex] (Eq. 3)

[tex]v_{y} = v_{o}\cdot \cos \theta + g\cdot t[/tex] (Eq. 4)

Where:

[tex]v_{x}[/tex] - Final horizontal velocity, measured in meters per second.

[tex]v_{y}[/tex] - Final vertical velocity, measured in meters per second.

If we know that [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]t = 3.170\,s[/tex], then the values of the velocity components are:

[tex]v_{x} = \left(22\,\frac{m}{s} \right)\cdot \cos 55^{\circ}[/tex]

[tex]v_{x} = 12.619\,\frac{m}{s}[/tex]

[tex]v_{y} = \left(22\,\frac{m}{s} \right)\cdot \sin 55^{\circ} +\left(-9.807\,\frac{m}{s^{2}} \right)\cdot (3.170\,s)[/tex]

[tex]v_{y} = -13.067\,\frac{m}{s}[/tex]

The magnitude of the final velocity of the ball is determined by Pythagorean Theorem:

[tex]v =\sqrt{v_{x}^{2}+v_{y}^{2}}[/tex] (Eq. 5)

Where [tex]v[/tex] is the magnitude of the final velocity of the ball.

If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], then:

[tex]v = \sqrt{\left(12.619\,\frac{m}{s} \right)^{2}+\left(-13.067\,\frac{m}{s}\right)^{2} }[/tex]

[tex]v \approx 18.166\,\frac{m}{s}[/tex]

The magnitude of the velocity of the ball is approximately 18.166 meters per second.

The direction of the final velocity is given by this trigonometrical relation:

[tex]\theta = \tan^{-1}\left(\frac{v_{y}}{v_{x}} \right)[/tex] (Eq. 6)

Where [tex]\theta[/tex] is the angle of the final velocity, measured in sexagesimal degrees.

If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], the direction of the ball is:

[tex]\theta = \tan^{-1}\left(\frac{-13.067\,\frac{m}{s} }{12.619\,\frac{m}{s} } \right)[/tex]

[tex]\theta = -45.999^{\circ} = 314.001^{\circ}[/tex]

The direction of motion is -45.999º or 314.001º.

Answer:

-Do not touch the contacts or interconnects or pads on ( RAM/DIMM's, GPU / Graphic's Card's, CPU / Processor )

-Not being concerned or cautious about ESD

-Do not over torque / over tighten screws.

-Not giving yourself enough room to build

-Not using a magnetic tray when building

Answer:

Parts

GEFORCE RTX 2060 SUPER this is a good graphics card for 399

intel core i5 is a pretty good budget processer

I recomend a nzxt case they are pretty good

these are only some parts but these are pretty good budget

Answer:

$150 billion in total will be spent on both Internet Advertising and TV Advertising.

$0.6 million more will be spent on Internet Advertising than TV.

Let TV Advertising expenses be x.

Expression will be;

x + (x + 600,000) = 150,000,000,000

2x = 150,000,000,000 - 600,000

x = (150,000,000,000 - 600,000) / 2

TV Advertising = $74,999,700,000

Internet Advertising

= TV Advertising + 0.6 million

= 74,999,700,000 + 600,000

= $75,000,300,000

Answer:

6000 a month

Step-by-step explanation:

Answer:

I thinkkk its Option 2

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

The line is linear and the y-intercept hits at -1 so option 2 is correct.

Answer:

$7 per person.

Step-by-step explanation:

21/4 $5.25

Answer:

$5.25

Step-by-step explanation:

4 people = $21

1 person = $21/4 = $5.25

Answer:

sorry but where are the angles

The value of q in the quadrilateral 70°

Given that a quadrilateral we need to find the value of q,

Since we can see that the opposite angles are equal so the quadrilateral can be a parallelogram,

Therefore, we get, q and 110° is consecutive angles and the consecutive angles in a parallelogram are supplementary angles,

So,

110° + q° = 180°

Solve for q,

q° = 180° - 110°

Simplification

q° = 70°

Hence the value of q is 70.

Learn more about quadrilateral click;

https://brainly.com/question/13805601

#SPJ6

Answer:

You get 17.80 cents back

Step-by-step explanation:

4.5 times 0.49 is 2.20 cents

20 minus 2.20 is 17.80 dollars

Answer:

Area = 1829.87

Step-by-step explanation:

Answer:

Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.

Step-by-step explanation:

Answer:

1/6, 2/5, 3/7, 3/5

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

Answer:

÷3

Step-by-step explanation:

90÷3 = 30

30 ÷ 3 = 10

10 ÷ 3 = 3.33

Answer:

The answer is number two o x< -2 or x > 5

Answer:

x<-2 or x>5 (the second choice)

Step-by-step explanation:

This is an "or" inequality. Both of the circles on the number line are open, so the signs we will use are going to be either < or >.

The shaded line on the left means x is less than -2 (x<-2). The shaded line on the right means x is greater than 5 (x>5).

If we write this as an "or" inequality, it will be...

x<-2 or x>5

In case you didn't know, if this was an "and" inequality, the shaded lines would intercept. But in this case, the shaded parts went opposite ways, so this is most likely an "or" inequality.

Hope this helped you out!! Have an amazing day c:

Answer:

75%

Step-by-step explanation:

45/60 x X/100

45x100

4500/60

75%

Finding slope:

Take two pairs of cordinate points from the table and use the formula y2-y1 divided by x2-x1

I choose (4,3) and (2,2)

2-3 divided by 2-4

= -1/2

Then to get the y intercept you use the formula: y=mx+b

For the x and y pick a cordinate to plug in. For m plug in your slope.

I pick (6,4)

4=-1/2×6+b

Multiply -1/2 and 6 to get -3 and plug that in

4=-3+b

Now add 3 to the -3 canceling that out to 0 and add three to the 4 making that 7

7=b

Y-intercept =7

Now plug in the slope and y-intercept into the slope intercept format and get:

Y=-1/2x+7

Answer:

20*15=300

He earned $300

Answer:5

Step-by-step explanation: If you look at the base of both triangles, you'll notice that the smaller one has a base of 3, and the bigger one has a base of 6. The smaller triangle is half of the big one, therefore we can safely say that the hypothenuse of the smaller triangle is half of that of the larger one. Half of 10 is 5.

I had the same question on my homework.

Answer:

No

Step-by-step explanation:

There is an x value that has two y values. If you were to graph this function, it would not pass the vertical line test.