In a class of 30 high school
students, 21 students drive a car to school. What percent of students drive a car to school?

I assume the question is whether the vector b is a linear combination of v₁ and v₂. If it is, then that means there are scalars c₁ and c₂ such that

b = c₁ v₁ + c₂ v₂   ==>   (7, 4, -3) = c₁ (1, 2, -5) + c₂ (2, 5, 6)

This gives the system of equations,

c₁ + 2c₂ = 7

2c₁ + 5c₂ = 4

-5c₁ + 6c₂ = -3

which has no solution, since

-2 (c₁ + 2c₂) + (2c₁ + 5c₂) = -2(7) + 4   ==>   c₂ = -10

but substituting this into any two equations in the system gives contradictory results. For instance,

c₁ + 2c₂ = c₁ - 20 = 7   ==>   c₁ = 27

2c₁ + 5c₂ = 2c₁ - 50 = 4   ==>   c₁ = 27

-5c₁ + 6c₂ = -5c₁ - 60 = -3   ==>   c₁ = -57/5

This means that b is not a linear combination of v₁ and v₂.

Answer:

a) G

b) C

Step-by-step explanation:

Triangle A is congruent to triangle G

Triangle D is congruent to Triangle C

Answer:

The experimental and theoretical probabilities are considerably different. This has to do with the small number of trials. For a higher number of trials, the experimental probability should be very close to the theoretical probability of 0.1429.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Theoretical probability:

The theoretical probability is calculated without considering previous trials.

Experimental probability:

Calculated considering previous trials.

For a small number of trials, these probabilities can differ, but the experimental probability approximates the theoretical as the number of trials increase.

Seven different names are written into sticks and placed into a cup.

So the theoretical probability of choosing Grace is:

[tex]p_T = \frac{1}{7} = 0.1429[/tex]

A stick is chosen 100 times,out of which the name Grace is chosen 23 times.

So the experimental probability is:

[tex]p_E = \frac{23}{100} = 0.23[/tex]

How do the theoretical probability and experimental probability compare?

The experimental and theoretical probabilities are considerably different. This has to do with the small number of trials. For a higher number of trials, the experimental probability should be very close to the theoretical probability of 0.1429.

Answer: 100

Step-by-step explanation:

Since we are given the equation 7.638 × n = 763.8 and told that Terri wants to know the value of n in the equation that will make it true. To do this goes thus:

7.638 × n = 763.8

7.638n = 763.8

Divide both side by 7.638

7.638n/7.638 = 763.8/7.638

n = 100

Therefore, n = 100 will make the equation true.

9514 1404 393

Answer:

  7317192329

Step-by-step explanation:

The first 10 primes are ...

  2, 3, 5, 7, 11, 13, 17, 19, 23, 29

The number of interest will keep getting larger as long as the first (or next needed) digit keeps getting larger. That is, we want to delete any digit that is not greater than the one previous. Following this rule until we have deleted 6 digits, we find the largest number to be ...

  7317192329

_____

The digits deleted are those in bold in the list of primes.

Answer:

Step-by-step explanation:

hope it helps

Answer:14 boxes per minute.

Step-by-step explanation:

This is a simple equation.

84/6 = 14 boxes per minute.

Answer:

He or she has 232,840,800 beats in five minutes.

Step-by-step explanation:

This question is solved by proportions.

In this question:

A year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in five years:

5*365*24*60 = 2,628,000 minutes.

How many beats in five minutes?

88.6 beats/min, 2,628,000 minutes. So the number of bears is:

88.6*2628000 = 232,840,800

He or she has 232,840,800 beats in five minutes.

Answer:

-136

Step-by-step explanation:

Given :

-17(|8|)

Mod of positive number is positive

So, |8|=8

-17(8)

=-136

Therefore,-17 mod 8 is -136

Answer:

275.15

Step-by-step explanation:

312.67 * 12% = 37.52

312.67 - 37.52 = $275.15

Answer:

[tex] {( {x}^{ \frac{1}{2} }. {y}^{ - \frac{1}{4} } .z) }^{ - 2} \\ = (x. {y}^{ - \frac{1}{2} } . {z}^{ - 2} )[/tex]

Answer:

traducir mi respuesta al español si es necesario

1/8

Step-by-step explanation:

lets start with the basics 1/2 of 3/4 to do it we multiply the fractions

1        3         3

    x  

2        4           8

the answer to that problem was 3/8 if u still dont understand multiplying fractions you can look it up and put on spanish subtitles

now to find 1/3 of 3/8 we do the same thing

1       3

    x

3       8        

we get 3/24 we can make the number smaller by reducing it. you can look up a video on reducing

Answer:

[tex]5\:\mathrm{cm}[/tex]

Step-by-step explanation:

The circumference of a circle is given by [tex]C=2\pi r[/tex], where [tex]r[/tex] is the radius of the circle.

What we're given:

Solving for [tex]r[/tex]:

[tex]31.4=2\cdot 3.14 \cdot r,\\r=\frac{31.4}{2\cdot 3.14}=\boxed{5}[/tex]

Answer:

Radius of circle is 5 cm.

Step-by-step explanation:

Radius of circle

Circumference of circle = 2 × π × r

Using Formula

Circumference of circle = 2 × π × r

Substitute the values into the formula

31.4 cm = 2 × 3.14 × r

multiply

31.4 cm = 6.28 × r

Divide , we get

31.4 cm /6.28 = r

5 cm = r

Hence, Radius of circle is 5 cm.

Answer:

15

Step-by-step explanation:

135 divided by 9 = 15

Answer:

6^_7

Step-by-step explanation:

6^7*6^-7=1

Proved

Answer:

c

Step-by-step explanation:

c. j = a + 5

such that 7 = 2 +5

Answer:

A.

[tex] = > \: 2 \times {10}^{ - 3} [/tex]

Answer:

10 cups

Step-by-step explanation:

we can set up a proportion of cups of water over cups of apple juice

2/3 = w/15

if you cross-multiply you will get:

3w = 30

w = 30/3

w = 10

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro

9514 1404 393

Answer:

  $7571.20

Step-by-step explanation:

Each year, the balance is multiplied by 1+4% = 1.04. After 2 years, the balance is ...

  $7000 × 1.04 × 1.04 = $7571.20

_____

Additional comment

The repeated multiplication is usually indicated with an exponent:

  $7000×1.04²

Answer:

answer in picture
c, b, d

Step-by-step explanation:

Answer:

C

[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]

The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as  

48 = V2 -2 -2 -2 - 3 = 4V3

Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.

We require to express 48 as the product of its prime factors as 48.

= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.

Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]

[tex]$=4 \sqrt{3}$[/tex]

[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.

Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.

To learn more about Prime Factorization

https://brainly.com/question/24612438

#SPJ2

Answer:

750

Step-by-step explanation:

I=Prt

I= 2500*0.03*10

I=750

Answer:

She earned 1500 in interest

Step-by-step explanation:

10,000 × 0.03 × 5 = 1500

Your welcome :)

Answer:

Ifa,bandcare the

sides opposite to anglesA,B,&C.

By Cosine Rule,

b  

2

=32  

2

+46  

2

−(2×32×46cos140°)

b  

2

=1024+2116−2944cos140°

b  

2

=3140−2944cos140°

b  

2

=3140+2255.234841

b  

2

=5395.234841

b=73.45

By Sine Rule,

sinC

32

​

=  

sin140°

73.45

​

sinC=  

73.45

32sin140°

​

sinC=0.2800

C=16.26°

The direction of the resultant

vector is measured from0°east

to the resultant, this angle isθ−90°,

90°is the total angle in

the first quadrant.

∴θ−90°=C+ϕ

ϕ=50°{Alternate angles are equal}

∴The direction of the car’s

resultant vector is50°+16.26°=66.26°south of east

Step-by-step explanation:

Answer:

-19

3 - 9 - 13 = -19

Step-by-step explanation:

Answer:

this statement is true because then the triangles will be congruent by rhs axiom