Pls answer This question I don’t know it

Answer:

[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]

Step-by-step explanation:

Vectors are parallel to each other if:

[tex]\vec u = \beta \cdot \vec v[/tex]

[tex](\alpha_{2}, 5) = (\beta\cdot \alpha_{1}, \beta \cdot 4)[/tex]

The value of [tex]\beta[/tex] is:

[tex]\beta = \frac{5}{4}[/tex]

Then, the following relationship is found:

[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]

Answer: (7x + 4)(x - 1)

Step-by-step explanation:

7x^2 - 3x - 4

ax^2 = 7x^2

bx = -3x

c = - 4

4 x -7  =  -28

4 + -7  =  -3

4 and -7 are the number which ahs the product of ac = -28 and b = -3.

factored form : [tex]7x^{2} - 7x + 4x - 4[/tex]

                      = [tex]7x(x - 1) + 4(x - 1)[/tex]

                      = [tex](7x + 4)(x - 1)[/tex]

Answer:

1. -7 and 4

2. (7x + 4)(x - 1)

Answer:

Domain:  (-infinity, infinity),  Range:  (-infinity, infinity)

Step-by-step explanation:

This is an odd function.  The graph passes through (0, 0), starting in Quadrant 3 and continuing into Quadrant 1.

There is a point on the graph for every input value, and so the domain of the cube function is (-infinity, infinity).  Similarly, the range is (-infinity, infinity).

The range and domain of a cube root function are [0, ∞).

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Cube root function is given as;

y = [tex]x^{1/3}[/tex]

Now as x increases (x > 0) y is also increasing although slower to x then still it is increasing.

So,

x → ∞ ⇒ y → ∞

For x < 0 it will become an imaginary number so it will not be defined.

Hence "The range and domain of a cube root function are [0, ∞)".

For more details about the range and domain of the function,

brainly.com/question/28135761

#SPJ2

Answer:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

pi*r^2

just put each number where r is to find out the answer

Answer:

Multiplication

Step-by-step explanation:

Follow PEMDAS, so first you would sub in the 5 then work in the parentheses so you would multiply the 5

Answer:

x = 9

Step-by-step explanation:

6² = 4·x

36 = 4x

x = 36/4

x = 9

Answer: x=9

X/6= 6/4

Crosses multiply

4x=36

Divide by 4

X=9

Step-by-step explanation:

Answer:

3) 3(5/12) = 5/4 hour = 1 1/4 hours

Answer:   112cm

Step-by-step explanation: to find the volume of a pyramid you do L*W*H/3 so if the dimensions are 6,7 and 8 all you have to do is multiply 6 by 7 ( thats 42) and then 42 times 8 (336) then divide by 3 which will get you 112.

Answer:

She travels 30 miles for work.

Given,

Total time = 45 minutes

Speed on small world = 32mph

Time on small world = 1/2 hour

Distance = Speed * time =

Distance on small world = 16 miles

Speed on small road = 56mph

Time on small road = 1/4 hour

Distance on small road =

Distance on small road = 14 miles

Total distance = Distance on small world + Distance on small road

Total distance = 16+14= 30 miles

She travels 30 miles for work.

Keywords: Distance, speed

Step-by-step explanation:

Final answer:

Carol travels 12 miles on the small road and 28 miles on the highway, totaling 40 miles to get to work.

Explanation:

The question asks us to calculate the total distance Carol travels to work using two different speeds on two different roads. To solve this problem, we use the formula d = vt, where d represents distance, v is velocity (or speed), and t is time.

On the small road, Carol drives at 24 miles per hour for half an hour (0.5 hours). Therefore, the distance traveled on the small road is:

d = (24 miles/hour)(0.5 hours) = 12 miles

On the highway, she drives at 56 miles per hour for half an hour (0.5 hours) as well. The distance traveled on the highway is:

d = (56 miles/hour)(0.5 hours) = 28 miles

To find the total distance, we add the distances from both roads:

Total distance = 12 miles + 28 miles = 40 miles

Carol travels a total of 40 miles to get to work.

Answer:

16/25

Step-by-step explanation:

We have 4 red marbles and a total of 4 + 1 = 5 marbles.

Probability is simply (# times a specific event can occur) / (# times any event can occur).

Here, the probability of drawing a red marble is: 4/5 (because there are 4 red marbles to choose from and a total of 5 marbles to choose from).

We replace the marble afterward, so the probability that the second pick is also red would still be 4/5.

Then, multiply the two fractions together: (4/5) * (4/5) = 16/25.

Hope this helps!

Answer: x ≤ 120

Step-by-step explanation: To get x by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6 just like we would if we were solving an equation.

But here is the trick you have to

watch out for with inequalities.

When you multiply or divide both sides of an inequality by a

negative, you must switch the direction of the inequality sign.

So our second step in this problem reads x ≤ 120.

Please give this idea your full attention. Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.

Answer:

750 adult tickets

486 student tickets

Step-by-step explanation:

5 x 150=750 adult tickets

486 student tickets

Plz give brainliest  need 1 more

Answer:

Step-by-step explanation:

448 - 66 = 382

448 physics books and 382 biology books

Answer:

domain: (-infinity,infinity);

range: f(x)>= 0

Step-by-step explanation:

f(x) = 2|x – 4|

The domain is the input values or the values that x can take

We can use any value we want for x

Domain: -infinity to infinity

The range is the output values

Since it is an absolute value, the smallest value it can take is 0, it can increase as large as it wants

Range: 0, infinity

Given:

The length of a basketball court is twice its  width.

The perimeter of the perimeter is 150 feet.

To find the length and width of the basketball court.

Formula

The perimeter of the rectangle is

[tex]P = 2(l+b)[/tex]

where, l be the length of the rectangle and

b be the width of the rectangle.

Now,

As per the problem,

Let, the width be [tex]x[/tex], so the length be [tex]2x[/tex]

So,

The perimeter is = [tex]2(x+2x) = 6x[/tex]

According to the problem,

[tex]6x = 150\\or, x = \frac{150}{6}[/tex]

[tex]or, x = 25[/tex]

Therefore,

the width of the court is 25 ft and length = 2×25 = 50 ft

Hence,

The length and width of the basketball court is 50 ft and 25 ft respectively.

Final answer:

The width of the basketball court is 25 feet and the length is 50 feet.

Explanation:

Let's assume the width of the basketball court is 'x' feet. Since the length is twice the width, we can say the length is '2x' feet.

The perimeter of a rectangle is calculated by adding all of its sides. So, in this case, we have 2 lengths and 2 widths.

Perimeter = 2(length) + 2(width)

Given that the perimeter is 150 feet, we can write the equation: 150 = 2(2x) + 2(x)

Simplifying the equation, we get: 150 = 6x

Dividing both sides by 6, we find: x = 25

Therefore, the width of the basketball court is 25 feet and the length is 2x, which is 2 * 25 = 50 feet.

Answer:

3.75Km

Step-by-step explanation:

to find Average speed you do distance over time so it would be 225/25=3.75

Answer:

7 units

Step-by-step explanation:

Your answer here is

C. nx 0.14

Answer:

A: s=75w

B: s= 75(16)

s=1200

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

B. No, because they have a different radius length.

The two spheres are not congruent because they have a different radius length.

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical.

Given:

Sphere 1: Diameter = 12 cm

Sphere 2: Radius = 7 cm

The radius of Sphere 1 is 6 cm and sphere 2 is 7 cm and they are not equal.

Also, Volume of Sphere 1= 4/3 πr³

                                          =904.32 cm³

and, Volume of Sphere 2 = 4/3 πr³

                                          = 1,436.02 cm³

Learn more about Congruency here:

https://brainly.com/question/28971480

#SPJ6

Answer:

The student make an error in step 4.

Step-by-step explanation:

Given : A student solved for the radius of a circle with a circumference of 12π.

To find : In which step did the student make an error?

Solution :

Let us write each step to find the radius of a circle from its circumference

Step 1 - Circumference of circle,

[tex]C=2\pi r[/tex]

Step 2 - Substitute the given circumference,

[tex]12\pi= 2\pi r[/tex]

Step 3 - Divide both sides by 2π,

[tex]\frac{12\pi }{2\pi }=\frac{2\pi r}{2\pi }[/tex]

Step 4 - Solve

[tex]6=\pi r[/tex] , it is incorrect as π  get cancelled

Correct step is  [tex]6=r[/tex]

The radius of the circle is 6 cm.

Step 5 - [tex]\frac{6}{\pi }=\frac{\pi r}{\pi}[/tex]

Step 6 -  [tex]\frac{6}{\pi }=r[/tex]

The student made a mistake in step 4 so step 5 and 6 is automatically invalid.

Therefore, the student make an error in step 4.

Answer:

  D) x² − xy − 100 = 0

Step-by-step explanation:

You want an expression for "An unknown integer, multiplied by the unknown integer minus a different unknown integer, equals 100."

Let x represent the unknown integer, and y represent the different unknown integer. Their difference will be (x -y). When that is multiplied by x and the result equal to 100, we have ...

  x(x -y) = 100

Eliminating parentheses using the distributive property, we have ...

  x·x -x·y = 100

  x² -xy = 100

Subtracting 100 gives an expression equal to zero:

  x² -xy -100 = 0 . . . . . . . matches choice D

Answer:

The second one

Step-by-step explanation:

A linear function will always increase or decrease by the same amount:

The first one adds eight for every increase of 1 in the x value

The third one subtracts three for every increase of 1 in the x value

However,

The second one starts by adding three, and then adds 1.5 for the rest

The second table is nonlinear

Answer with Step-by-step explanation:

a.If the circle has circumference of [tex]6\pi[/tex] in,then it has a diameter of 3 in.

Circumference of circle=[tex]6\pi[/tex]in

We know that

Circumference of circle=[tex]2\pi r[/tex]

Using the formula

[tex]6\pi=2\pi r[/tex]

[tex]r=\frac{6\pi}{2\pi}=3[/tex]in

Diameter of circle=[tex]2\times 3=6[/tex]in

It is false.

b.f the circle has diameter of 2 inches,then it has a circumference of 6.28 in.

Diameter,d=2 in

Circumference of circle=[tex]\pi d=3.14 \times 2=6.28[/tex]in

It is true.

c.If the circle has a circumference of [tex]2\pi[/tex]in then it has an area [tex]\pi[/tex] square inches.

Circumference=[tex]2\pi[/tex]in

[tex]2\pi r=2\pi[/tex]

[tex]r=\frac{2\pi}{2\pi}=1[/tex]in

Area of circle=[tex]\pi r^2=\pi(1)^2=\pi in^2[/tex]

It is true.

d.If the circle has a circumference of [tex]\pi[/tex]in then it has an area [tex]0.5\pi[/tex] square inches.

Circumference=[tex]\pi[/tex]in

[tex]2\pi r=\pi[/tex]

[tex]r=\frac{\pi}{2\pi}=\frac{1}{2}in[/tex]

Area of circle=[tex]\pi(\frac{1}{2})^2=0.25\pi in^2[/tex]

It is not true.

e.If the circle has a radius of 1.5 inches,then it has an area of 7.065 square inches.

Radius,r=1.5 in

Area of circle=[tex]3.14\times (1.5)^2=7.065in^2[/tex]

It is true.

Answer:

see explanation

Step-by-step explanation:

Given that 40 people liked cats, that is 20 women and 20 men

Then the dual bar representing 20 is made up of 4 frequency bars

Then each frequency bar represents 20 ÷ 4 = 5 people

Thus

dogs = 25 (men) + 30 (women) = 55

hamster = 15 ( men) + 5(women) = 20

other = 10(men) + 15(women) = 25

Favourite pet frequency table

favourite pet     frequency

    cat                      40

    dog                     55

   hamster               20

     other                  25

A total of 40 + 55 + 20 + 25 = 140

Answer:

the answer is 17

Step-by-step explanation:

You divide 8 and 136 and get 17, you multiply 17 and 8 to double check your answer, Hope this helps :P!

this is the explanation

Step-by-step explanation:

5x=75

22+5x=97

11y-5=106

7y+13=83

to conclude it all adds up to 360

360=83+106+97+75

Answer:

look pal I will help I just need you to keep comening me

Answer:

The slope is -1

Step-by-step explanation:

y=mx+b where m is the slope

y =-x+7 can be also be written as y=-1x +7

So therefore the number infront of x is considered the slope

-1

Answer:

Slope  m  =  −  1

Y-intercept  =  7