42,000 as a multipul of a power of 10

Answer: answer is 60 a and 60 b all angles are equal

Step-by-step explanation:

Answer:

Step-by-step explanation try b:

None of the options are correct because no table shows the 1 gallon per minute.

Given that,
To determine which of the table shows the rate of 1 gallon per minute.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here.
Table 1,
Rate = number of gallon / minute = 1 / 5 / [10/5] = 1/10 gallon per minute
Similarly.
Table 2
Rate = 2 / 3  gallon per minute
Table 3
Rate = 1 / 2  gallon per minute
Table 4
Rate = 3 / 8  gallon per minute

Thus. none of the options is correct because no table shows the 1 gallon per minute.

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The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Answer:

C??

Step-by-step explanation:

a says that y is bigger than -3

b says that 13 is less than or equal to y

c says y is smaller than 8

and d says y is equal to or smaller than 8

IM NOT SURE SKSJNSMS

Answer:

80, 0.9, 8, 0.09

Step-by-step explanation:

Places are...

1 - ones

10 - tens

100 - hundreds

etc.

Decimal places are...

0.0 - tenths

0.00 - hundredths

0.000 - thousandths

etc.

(a) The digit in the ones place is 8. It is 1/10 of 80 because...

1/10 * x = 8

x/10 = 8

Multiply both sides by 10

x=80

(b) The digit in the hundredths place is 0.09. It is 1/10 of 9 because...

1/10 * x = 0.09

x/10 = 0.09

Multiply both sides by 10

x=0.9

(c) The digit in the tens place is 80. We can divide it by 10 to find that it is 10 times as much as 8.

(d) The digit in the tenths place is 0.9. We can divide it by 10 to find that it is 10 times as much as 0.09.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer: 3630

Step-by-step explanation:

Given that:

Volume of container = 98,000 cubic volume

Volume of cabinet = 27 cubic volume

The number of cabinets which the container will. Hold equals:

Volume of container / volume of cabinet

= 98000 cubic volume / 27 cubic volume

= 3629.6296

The container will hold approximately 3630 27 cubic volume of cabinet.

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/4 = 0.25 x 2 = 0.5 = 1/2

Using either method, we can conclude that x - 5 is a factor of the polynomial

This is further explained below.

Explain, based on the fact that, using either approach, whether or not we can consider x-5 to be a factor in the polynomial.

Generally, the equation for the problem is mathematically given as

f(x)=x^3-x^2-17 x-15

Therefore,  If (x-5) is factor of f(x) then at x=5 ,f(x)=0 then apply this

\(\begin{aligned}f(x) &=5^3-5^2-17 \times 5-15 \\&=125-25-85-15 \\&=0\end{aligned}\)

In conclusion,Since f(x) is equal to 0 when x = 5, the factor of f is (x-5) (x).

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Answer:

a

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the corresponding sides and this can be determined by using the Pythagorean theorem and the formula of the area of the triangle.

Given :

The base of the right triangle whose legs are 15 inches and 12 inches is calculated by using the Pythagorean theorem:

\(\rm 15^2=12^2+B^2\)

B = 9 inches

The area of the right triangle whose legs are 15 inches and 12 inches is given by:

\(\rm A = \dfrac{1}{2}\times 9 \times 15\)

A = 67.5 \(\rm inch^2\)

The base of the right triangle whose legs are 5 inches and 4 inches is calculated by using the Pythagorean theorem:

\(\rm 5^2=4^2+B^2\)

B = 3 inches

The area of the right triangle whose legs are 5 inches and 4 inches is given by:

\(\rm A' = \dfrac{1}{2}\times 3 \times 5\)

A' = 7.5 \(\rm inch^2\)

Now, the ratio of the area is calculated as:

\(\rm \dfrac{A}{A'}=\dfrac{67.5}{7.5}=9\)

Therefore, the correct option is A) The ratio of the areas is the square of the ratio of the corresponding sides.

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The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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The total surface area of the pyramid from the net is 286 square cm

To calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.

The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.

In this case, the nets are

Using the above as a guide, we have the following:

Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)

Evaluate

Area = 286

Hence, the surface area is 286 square cm

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Answer:

3x + 5y + 6

Step-by-step explanation:

→ Add all the lengths together for the perimeter

x + y + 2y + 6 + 2x - y + 3y

→ Simplify

3x + 5y + 6

There are number of thesis that are given for mathematics by various professors and scientists at various levels that are being implemented from time to time.

A theory is nothing but a set of statements which may be based on certain principles that might have been derived by performing some experiments and attaining a proper conclusion. For example, if we say 'the sky is blue'. It means this truth can never be changed irrespective of the situations. This will remain mortal.

Similarly, there are plenty of terms in mathematics such as decimals, percentage, geometry, algebra and more fundamentals. These are existing since ages and have been challenged also. But the theory remains the same. There operas-memoranda remains the same. So various scholars, have given various theories of mathematics.

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Regular price = $1375.23

Discount = 45% of Regular price

The discount = 45% of $1375.23

= 45/100 x $1375.23

= 0.45 x $1375.23

Discount = $ 618.85

But Sale price = Regular price - Discount

Sale price = $1375.23 - $618.85

Sale price = $756.38

Hence, the new sale price after the discount of 45% is applied is $756.38

6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

The equation of the circle with endpoints of a diameter at (-14, -3) and (-4, -1) in standard form is (x + 9)² + (y + 2)² = 65/4, where the center is (-9, -2) and the radius is √(65)/2.

To find the equation of a circle in standard form, we need to know the center and the radius of the circle.

The midpoint of the diameter is the center of the circle, which can be found using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-14 + (-4))/2, (-3 + (-1))/2)

Midpoint = (-9, -2)

The radius can be found by using the distance formula to find the distance between one of the endpoints and the center:

r = √((x2 - x1)² + (y2 - y1)²)/2

r = √((-4 - (-9))² + (-1 - (-2))²)/2

r = √(65)/2

Putting it all together, the equation of the circle in standard form is:

(x + 9)² + (y + 2)² = 65/4

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Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

En matemáticas, la pendiente de una línea ( m ) se describe cómo rápidamente o lentamente cambiar se está produciendo y en qué dirección, ya sea positiva o negativa. Funciones-aquellos lineales cuya gráfica es una línea recta-tienen cuatro posibles tipos de pendiente: positivos , negativos, cero , e indefinido. Una función con una pendiente positiva está representada por una línea que sube de izquierda a derecha, mientras que una función con una pendiente negativa se representa por una línea que va hacia abajo de izquierda a derecha. Una función con pendiente cero está representado por una línea horizontal, y una función con una pendiente indefinida está representada por una línea vertical.

La pendiente se expresa normalmente como un valor absoluto. Un valor positivo indica una pendiente positiva, mientras que un valor negativo indica una pendiente negativa. En la función y = 3 x , por ejemplo, la pendiente es positiva 3, el coeficiente de x .

En estadística, un gráfico con una pendiente negativa representa una correlación negativa entre dos variables. Esto significa que como una variable aumenta, la otra disminuye, y viceversa. Correlación negativo representa una relación significativa entre las variables x e y , que, dependiendo de lo que son el modelado, puede entenderse como entrada y salida , o causa y efecto .

¿Cómo encontrar la pendiente

pendiente negativa se calcula igual que cualquier otro tipo de pendiente. Lo puede encontrar dividiendo la subida de dos puntos (la diferencia a lo largo del eje y vertical u) por la carrera (la diferencia a lo largo del eje x). Sólo recuerda que la “subida” es en realidad una caída, por lo que el número resultante será negativo.

m = (y2 - y1) / (x2 - x1)

Una vez que se representa gráficamente la línea, verá que la pendiente es negativa porque la línea bajará de izquierda a derecha. Incluso sin dibujar un gráfico, usted será capaz de ver que la pendiente es negativa, simplemente calculando m utilizando los valores dados para los dos puntos.

Por ejemplo, la pendiente de una línea que contiene los dos puntos (2, -1) y (1,1) es:

m = [1 - (-1)] / (1 - 2)

m = (1 + 1) / -1

m = 2 / -1

m = -2

Una pendiente de -2 significa que por cada cambio positivo en x , habrá el doble de cambio negativo en y .

= Pendiente negativa correlación negativa

Un negativo pendiente demuestra una correlación negativa entre los siguientes:

las variables x e y

entrada y salida

variable independiente y la variable dependiente

causa y efecto

Correlación negativa se produce cuando las dos variables de un movimiento función en direcciones opuestas. A medida que el valor de x aumenta, el valor de y disminuye. Del mismo modo, como el valor de x disminuye, el valor de Y aumenta. Correlación negativa, entonces, indica una clara relación entre las variables, es decir, uno afecta al otro de una manera significativa.

En un experimento científico, una correlación negativa mostraría que un aumento en la variable independiente (el manipulado por el investigador) causaría una disminución en la variable dependiente (la medida por el investigador). Por ejemplo, un científico podría encontrar que a medida que los depredadores se introducen en un entorno, el número de presas se hace más pequeño. En otras palabras, existe una correlación negativa entre el número de depredadores y número de presas.

Ejemplos del mundo real

Un ejemplo sencillo de pendiente negativa en el mundo real está bajando una colina. Cuanto más lejos esté de viaje, cuanto más abajo se le cae. Esto puede ser representado como una función matemática, donde x es igual a la distancia recorrida y Y es igual a la elevación.

Otros ejemplos de pendiente negativa demuestran la relación entre dos variables:

Sr. Nguyen bebe café con cafeína dos horas antes de su hora de dormir. Los más tazas de café bebe (entrada), el menor número de horas que van a dormir (salida).

Aisha es la compra de un billete de avión. El menor número de días entre la fecha de compra y la fecha de salida (entrada), más el dinero Aisha tendrán que gastar en pasajes de avión (salida).

John está gastando una parte del dinero de su último cheque de pago en regalos para sus hijos. Cuanto más dinero gasta John (entrada), menos dinero John tendrá en su cuenta bancaria (de salida).

Mike tiene un examen al final de la semana. Desafortunadamente, él prefiere pasar su tiempo viendo deportes en la televisión que estudiar para el examen. Cuanto más tiempo pasa viendo la televisión Mike (entrada), la puntuación del Mike menor será en el examen (de salida). (En contraste, la relación entre el tiempo dedicado al estudio y la puntuación de examen estaría representada por una correlación positiva, ya que un aumento en el estudio conduciría a una mayor puntuación.)

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

2.1 The height of the given container is \(\frac{250}{\pi r^{2} }\) cm.

2.2 The surface area in terms of r is 2πr (r + \(\frac{250}{\pi r^{2} }\) ) square cm.

2.3 The measure of radius i.e. r is 3.41 cm and the minimum surface area of the container is 221.19 square cm.

2.4 The cost of the container is not determinable as there is no data provided regarding it.

The solution has been obtained by using the formulas of cylinder.

What is a cylinder?

The cylinder, one of the most basic curvilinear geometric shapes, has traditionally been regarded as a three-dimensional solid. It is regarded as a prism with a circle as its basis in elementary geometry.

2.1 We are given that the volume of the container is 250 cubic cm.

So, using the volume of cylinder, we get the radius as

⇒ V = πr²h

⇒ 250 = πr²h

⇒ h = \(\frac{250}{\pi r^{2} }\) cm

2.2 Now, using the formula of surface area of cylinder, we get

⇒ Surface area = 2πr (r + h)

⇒ Surface area = 2πr (r + \(\frac{250}{\pi r^{2} }\))

2.3 For surface area to be minimum, we need to equate its derivative to 0.

On simplifying the surface area, we get

Area (A) = 2π\(r^{2}\) + \(\frac{500}{r}\)

Now, its derivative is

A' = 4πr - \(\frac{500}{r^{2} }\)

On equating it to 0, we get

⇒ 4πr - \(\frac{500}{r^{2} }\) = 0

⇒ 4πr = \(\frac{500}{r^{2} }\)

⇒ 4π\(r^{3}\) = 500

⇒ r = 3.41 cm

Now, on substituting this value in the area, we get

⇒ Surface area = 2π\(r^{2}\) + \(\frac{500}{r}\)

⇒ Surface area = 2π\((3.41)^{2}\) + \(\frac{500}{3.41}\)

⇒ Surface area = 221.19 square cm

2.4 The cost of the container can not be determined as no data for the same is provided.

Hence, the complete solution has been obtained.

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Answer: no hay opuesto de cero, cero es el último número de positivos y negativos

Answer:

Step-by-step explanation:

the circumference of a circle = Diameter × π

in other words ,the ratio of the circumference of a circle to its diameter is π

and we know that π = 3.14159265358979...

if we round it to the hundredth we get 3.14

Answer:a) 10. have +05 x 2 P= 0.025 p(x - 2) (B) - (-2)-2 (5) 5-2 (0 •025) ( 1 - 0 025) 3 0 • 00 57 9287 n - 2 . x - -6 m-6 b) we have p= 0 45 p(x = 6) = (P)...

Step-by-step explanation:

Answer:the problem is kinda confusing on the (three-cent five-cent and 10-cent lollipops) part ) but if she needs to spend 1$ exactly the answer is 14( reason show below.)

Step-by-step explanation

First I did

(3x5=15)

then I did

(15x4=60)

Then

60+15+15=90

Lastly

90+5+5=100(aka 1$)

In conclusion she can buy 14

It is proved that m = √n.

To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:

m^2 ≤ n < (m + 1)^2.

So, after taking the square root, it will be:

m ≤ √n < m + 1

From that we can see m = √n is the unique m.

A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.

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Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.