The weight of a school bus is about 10,000 kg, or 1 x 104 kg.
The weight of a small car is about 1000 kg, or 1 x 103 kg.
The school bus is about how many times heavier than the small car?
O A. 2 times
B. 1.1 times
C. 1 x 10 times
• D. 1 x 10-1 times

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

Answer:

60

Step-by-step explanation:

time * speed

in seconds 60x *4 = 2.5(60x + 900)

x= 25

25 min * 4cm/2

distance = 60 meters

CHEck!!!

Using a system of linear equations, the distance between points A and B is 6000 cm

Time taken = Distance / speed

Let ; distance = d

To time :

Fro time :

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

2.5t + 2250 = d ______(2)

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

Learn more : https://brainly.com/question/14000187

Para encontrar las razones trigonométricas, debemos recordar su definición:

donde, co denota el cateto opuesto, ca el cateto adyacente y h la hipotenusa.

Como vemos de las definiciones, necesitamos saber todos los lados del triángulo. Para encontrar el lado a del triángulo es necesario utilizar el teorema de Pitágoras:

En este caso, c=100 y b=85. Sustituyendo los valores y resolviendo la ecuación para a, tenemos que:

Una vez que tenemos todos los lados, podemos encontrar las funciones trigonométricas del ángulo 55°. Notamos que para este angulo:

Entonces:

We can use a table that only has 2 rows to solve a problem about a proportional relationship by comparing the variables and looking out for the constant.

What is a proportional relationship?

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

According to the given question:

If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportional relationship can be identified by looking at data, an equation, or a graph.

Learn more about proportional relationship on:

brainly.com/question/12242745

#SPJ4

Answer:

center = (-5, -7)

radius = 21

Step-by-step explanation:

Equation of a circle

\((x-a)^2+(y-b)^2=r^2\)

where:

Given equation:

\((x+5)^2 + (y+7)^2 = 21^2\)

Comparing the given equation with the standard equation of a circle:

Hence, the coordinates of centre is (-5,-2).

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The given equation  of circle,

(x+5)² + (y+7)² = 21²

We know that,

Equation of a circle is:

(x-a)² + (y-b)² = r²

where:

(a, b) is the center

And r is the radius

Comparing with the given equation we have,

center = (-5,-7)

And radius = 21 units

Thus,

Coordinates =  (-5,-7).

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

To compute the values of (r) and (x) for the different states of the harmonic oscillator, we need to consider the wavefunction solutions for each state.

The wavefunctions for the harmonic oscillator are given by Hermite polynomials multiplied by a Gaussian factor. The energy eigenvalues for the harmonic oscillator are given by (n + 1/2) * h * ω, where n is the quantum number and ω is the angular frequency of the oscillator. (a) Ground State: The ground state of the harmonic oscillator corresponds to n = 0. The wavefunction for the ground state is: ψ₀(x) = (mω/πħ)^(1/4) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₀) is equal to 1/2 * h * ω. Therefore, for the ground state: (r) = 0 (since n = 0). (x) = √(ħ/(2mω)). (b) First Excited State:The first excited state corresponds to n = 1. The wavefunction for the first excited state is: ψ₁(x) = (mω/πħ)^(1/4) * √2 * (mωx/ħ) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₁) is equal to 3/2 * h * ω. Therefore, for the first excited state: . (r) = 1. (x) = √(ħ/(mω)). (c) Second Excited State:The second excited state corresponds to n = 2. The wavefunction for the second excited state is: ψ₂(x) = (mω/πħ)^(1/4) * (2(mωx/ħ)^2 - 1) * exp(-mωx²/2ħ)  where m is the mass of the oscillator. In this state, the energy (E₂) is equal to 5/2 * h * ω.

Therefore, for the second excited state: (r) = 2. (x) = √(ħ/(2mω)). In summary: (a) Ground State: (r) = 0, (x) = √(ħ/(2mω)). (b) First Excited State: (r) = 1, (x) = √(ħ/(mω)). (c) Second Excited State: (r) = 2, (x) = √(ħ/(2mω)).

To learn more about harmonic oscillator click here: brainly.com/question/13152216

#SPJ11

Answer:6

Step-by-step explanation:6666666666666666666

All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

To learn more about limit visit:

https://brainly.com/question/7446469

#SPJ1

The length of the longer piece is 93 inches.

Let x be the length of the shorter piece in inches.

Then the length of the longer piece is 3x inches.

The sum of the lengths of the two pieces is equal to the length of the board, which is 124 inches:

x + 3x = 124

Simplifying the left-hand side:

4x = 124

Dividing both sides by 4:

x = 31

So the length of the shorter piece is 31 inches.

The length of the longer piece is three times this length:

3x = 3(31) = 93

So the length of the longer piece is 93 inches.

To know more about inches click here:

brainly.com/question/16311877

#SPJ4

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance between them is

\(d = \sqrt{ ({ - 6 - 2})^{2} + ({ - 5 - 0})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ( { - 5})^{2} } \\ = \sqrt{64 + 25} \\ = \sqrt{89} \: \: \: \: \: \: \: \: \: \: \\ = 9.4339811\)

We have the final answer as

Hope this helps you

Answer:

Slope = 2/7

Step-by-step explanation:

You answer this question by plugging in the points to the equation \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). Which would get you 2/7 which cannot be reduced further.

The slope of the given points are 2/7.

The slope of a line is the ratio of the amount that y increases as x increases some amount.

Given points are (14,4) and (21,6)

Slope = (y2-y1)/(x2-x1)

= (6-4)/(21-14)

= 2/7

Hence, The slope of the given points are 2/7.

For more references on slope, click;

https://brainly.com/question/3605446

#SPJ2

the two angles that satisfy sinθ = -√2/2 are 5π/4 and 7π/4.

Why it is?

sinθ = -√2/2 is equivalent to saying that the sine of angle θ is negative and equal to √2/2.

We know that the sine function is positive in the first and second quadrants, and negative in the third and fourth quadrants. Therefore, we can limit our search for angles θ to the third and fourth quadrants where the sine function is negative.

In the third quadrant, the reference angle that satisfies sinθ = √2/2 is π/4, since the sine function is negative in this quadrant. Therefore, the angle θ in the third quadrant that satisfies sinθ = -√2/2 is:

θ = π + π/4 = 5π/4

In the fourth quadrant, the reference angle that satisfies sinθ = √2/2 is also π/4, since the sine function is negative in this quadrant. Therefore, the angle θ in the fourth quadrant that satisfies sinθ = -√2/2 is:

θ = 2π - π/4 = 7π/4

So the two angles that satisfy sinθ = -√2/2 are 5π/4 and 7π/4.

To know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ1

Answer:

A gets 600, B gets 450. The total amount is 600:450:300

Step-by-step explanation:

150 x 4 = 600

150 x 3 = 450

The answer to the question is C

Answer:

10 * 9 = 90

90/2 = 45

45 cm^2

The best answer from the choices provided is a = plus-or-minus 16 . Option C

A quadratic equation can be defined as an equation that can be rearranged in a standard form

Such that;

These quadratic equation are also described as polynomial equation having its highest degree as 2.

From the information given, we have that;

3a² - 21 = 27

collect like terms

3a² = 27 + 21

Add the values

3a² = 48

Divide both sides by 3

a² = 48/3

a² = 16

Hence, the value is a² = 16

Learn more about quadratic equation here:

https://brainly.com/question/1214333

#SPJ1

Answer:

I believe it's option C

Step-by-step explanation:

A function is a relation that does not contain two pairs with same first component.

option C

{(-1,2),(3,-2),(0,1),(3,5)} is not a function, since there are two pairs with the same first component i.e, 3

hope it helps

mark me brainliest pls

Answer:

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Step-by-step explanation:

Answer:

a ratio is a part to whole for example chance of getting a one on a dice. so 1:6 or 1/3

Step-by-step explanation:

Mr rockwell is buying a rectangular lot on which to build a new home. three corners of the lot are at (5,-3), (-2,-3), (-2,2) on the coordinate plane. The ordered pair for the fourth corner of the lot is (5,2).

We know that a rectangular has four equal sides and four equal angles, a rectangle is a quadrilateral. In addition, all angles are 90 degrees.

The fourth coordinate would share the same y coordinate as the point (5, -3) and the same x coordinate as the point (-2, -3) because the city block is rectangular (-2, 3). The fourth coordinate is therefore (5, 2).

Learn more about coordinate plane at https://brainly.com/question/14736746

#SPJ4

Answer:

50

Step-by-step explanation:

20x2.50=50

Answer:

Need to show picture of problem

Step-by-step explanation:

Answer:

Step-by-step explanation:

i need a pic

Answer:

10 meters

Step-by-step explanation:

Perimeter= 3+3+2+2

=10

Have a nice day:)

Answer:

Step-by-step explanation:

Use the formulas that allow us to find the point that divides the segment into a ratio which is

\(x=\frac{bx_1+ax_2}{a+b}\)  and  \(y=\frac{by_1+ay_2}{a+b}\) where a is 1 (comes from the ratio) and b is 3 (comes from the ratio as well). Filling in:

\(x=\frac{3(9)+1(6)}{1+3}=\frac{27+6}{4}=\frac{33}{4}\) and then y:

\(y=\frac{3(-1)+1(-10)}{1+3}=\frac{-3-10}{4}=-\frac{13}{4}\) so the coordinates in question are

\((\frac{33}{4},-\frac{13}{4})\)

Answer:

Step-by-step explanation:

the answer would be (7,-7)

The probability that less than of the people in the sample of have high blood pressure is 0.5654.

High blood strain (high blood pressure) is a common situation wherein the lengthy-term force of the blood in opposition to your artery walls is high sufficient that it could sooner or later purpose fitness problems, inclusive of coronary heart disorder.

Blood stress is often a silent sickness. lamentably, high blood strain can show up without feeling any atypical signs and symptoms. moderate or extreme complications, tension, shortness of breath, nosebleeds, palpitations, or feeling of pulsations within the neck are a few signs of excessive blood pressure.

Blood strain readings above one hundred eighty a hundred and twenty mmHg are taken into consideration stroke-level, dangerously excessive, and require instantaneous medical attention.

Learn more about high blood pressure here https://brainly.com/question/725283

#SPJ4

By applying binomial probability concept, it can be concluded that:

(a) the probability of exactly two arrows scoring bull's-eyes is 0.15,

(b) the probability of at least two arrows scoring bull's-eyes is 0.19,

and the expected number of bull's-eyes scored is 0.81.

Binomial probability is the probability of exactly x successes on n repeated trials, with p probability.

P(X=x) =  C(n,x) · pˣ · (1 - p)ⁿ⁻ˣ

Expected value of a probability is calculated by multiplying the number of events x by its probability.

E(X) = n * p

The probability of an archer hitting a bull's eye with a single arrow (p) is 0.09. This means that the probability of not hitting a bull's eye with a single arrow (1-p) is 1 - 0.09 = 0.91.

We can use the binomial distribution to calculate the probability of different outcomes.

(a) The probability of exactly two arrows scoring bull's-eyes is given by the binomial distribution formula:

P(X = 2) = C(9,2) · (0.09)² · (0.91)⁷

             = 0.15

(b) The probability of at least two arrows scoring bull's-eyes is given by the sum of the probabilities of exactly two, three, four, ..., and nine arrows scoring bull's-eyes. Or simply we can calculate it over opposite event using the binomial distribution formula:

P(X >= 2) = 1 - P(X = 0) - P(X = 1)

               = 1 - (C(9,0) · (0.09)⁰ · (0.91)⁹) - (C(9,1) · (0.09)¹ · (0.91)⁸)

               = 1 - 0.42793 - 0.3809

               = 0.19

The expected number of bull's-eyes scored is given by the formula E(X) = n * p, where n is the number of arrows and p is the probability of hitting a bull's eye with a single arrow.
E(X) = 9 * 0.09

       = 0.81

In conclusion, the probability of exactly two arrows scoring bull's-eyes is 0.15, the probability of at least two arrows scoring bull's-eyes is 0.19, and the expected number of bull's-eyes scored is 0.81.

To learn more about binomial probability, click here: https://brainly.com/question/9325204

#SPJ11

The volume of the Parallelepiped with adjacent edges pq, pr,and ps = 136

Geometrically, the Scalar triple product:

\({\displaystyle \mathbf {a} \cdot (\mathbf {b} \times \mathbf {c} )} \mathbf{a}\cdot(\mathbf{b}\times \mathbf{c})\)

is the (signed) volume of the parallelepiped defined by the three vectors given. Here, the parentheses may be omitted without causing ambiguity, since the dot product cannot be evaluated first. If it were, it would leave the cross product of a scalar and a vector, which is not defined.

Given three vectors, there is a product, called scalar triple product, that gives , the volume of the parallelepiped that has the three vectors as dimensions.

So,

Given : p(-2,1,0) , q(3,4,3), r(1,4,-1), s(3,6,4).

pq =  ( -2-3 ,1-4 ,0-3) = (-5,-3,-3)

pr= (-2-1, 1-4, 0+1) = (-3,-3,1)

ps= ( -2-3, 1-6, 0-4) = (-5,-5,-4)

pq = (-5  ,  -3  , -3)

pr = (-3,  -3,  1)

ps= (-5,  -5,  -4)

The scalar triple product is given by the determinant of the matrix (3×3)

that has in the rows the three components of the three vectors:

\(\left[\begin{array}{ccc}-5&-3&-3\\-3&-3&1\\-5&-5&-4\end{array}\right] \\\\-5(12+5)-3(12+5)-3(15-15)\\-5(17)-3(17)-3(0)\\-85-51\\-136\\\)

So, The volume never be negative then by applying vector

v = |-136|

v= 136

the volume of the parallelepiped with adjacent edges pq, pr,and ps = 136

To learn more about Scalar triple product: brainly.com/question/13419505

#SPJ4