Convert the number to scientific notation.
299,792,458 meters per second
=

Given:

Box A has a surface area of 98 in².

Box B is 4 times the size of box A.

To find:

The surface area of box B.

Solution:

Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.

We know that the areas of similar figures are proportional to the square of their corresponding sides.

[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]

Using cross multiplication, we get

[tex]98\times 16=1\times A_B[/tex]

[tex]1568=A_B[/tex]

Therefore, the surface area of box B is 1568 in².

Answer:

21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children

Step-by-step explanation:

In other words, every 7 Adults creates a set of 3 Children

In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.

For 35 adults, 35/7 gives us 5 sets

Therefore 5x3= 15 Children

Finally, 56 adults. 56/7= 8 sets

Therefore 8x3= 24 Children

Hope this helps and goodluck. Feel free to post more questions.

Answer:y=-3

Step-by-step explanation:

The value of the asymptote of the function is,

⇒ y = - 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

g(x) is an exponential function shown in the graph.

We know that;

On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.

Hence, From graph,

The value of the asymptote of the function is,

⇒ y = - 3

Thus, he value of the asymptote of the function is,

⇒ y = - 3

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

Answer:

(8, 4 )

Step-by-step explanation:

Given the 2 equations

5x - 5y = 20 → (1)

- 3x + 5y = - 4 → (2)

Add the 2 equations term by term to eliminate the y- term

2x + 0 = 16

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (2)

- 3(8) + 5y = - 4

- 24 + 5y = - 4 ( add 24 to both sides )

5y = 20 ( divide both sides by 5 )

y = 4

solution is (8, 4 )

Answer:

760 people in total

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{(-2)^3=\bf -8}[/tex]

[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{-8(9)= \bf -72}[/tex]

[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]

[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]

[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]

[tex]\mathsf{-2^2=\bf 4}[/tex]

[tex]\mathsf{= -12+4(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= -12+4(9)}[/tex]

[tex]\mathsf{4(9)= \bf 36}[/tex]

[tex]\mathsf{-12 + 36 = \bf 24}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-4x-1

Step-by-step explanation:

combine 4x and -8x to make -4x and combine -2 and 1 to make -1

Answer:

A is 3.14

Step-by-step explanation:

. good day.hope it helps

Answer:

Step-by-step explanation:

circumference   =   2 * pi * radius

                                                            Plug in  4 meters  for radius  and  3.14  for  pi  .

circumference   ≈   2 * 3.14 * 4 m

                                                            Multiply these together.

circumference   ≈   25.1 m

area   =   pi * radius2

                                                            Plug in  4 meters  for radius  and  3.14  for  pi  .

area   ≈   3.14 * (4m)2

                                                            Square the  4m  .

area   ≈   3.14 * 16m2

                                                            Multiply.

area   ≈   50.2 m2

Answer:

A=[tex](4x-5)^{2}[/tex]

Step-by-step explanation:

The area of a square can be found by multipling two of the side lengths. And since all the sides of a sqaures are the same we just multiply (4x-5)(4x-5)=A or  [tex](4x-5)^{2}[/tex]=A.

Answer:

The statement is correct as we will simplify the ratio of adults to children and will come down this.

25 children / 15 adults

both are multiple of 15 and will be divided to come down to 5 / 3

therefore it can be said that there were 5 children for every 3 adults.

Answer:

916110

Step-by-step explanation:

39*27*29*30

Answer:

90 words

Step-by-step explanation:

Based on the information we have already, we can assume Alan types the same amount of words per minute meaning, all we have to do here is multiply.

30 words per minute x 3 minutes = 90 words

Answer:

2pi

Step-by-step explanation:

As x begins at zero and ends at 2pi, the graph repeats itself.  Thus, the period is 2pi.

Answer: 2π

Step-by-step explanation:

just took the test

Answer:

(-1 , 7)

Step-by-step explanation:

To find the midpoint, the equation used is:-

[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]

Here, the values are:-

x1 = 1

x2 = -3

y1 = 9

y2 = 5

Substituting these in the equation, we get:-

[tex]\frac{-3 + 1}{2} ,\frac{9+5}{2}[/tex]

[tex]\frac{-2}{2} ,\frac{14}{2}[/tex]

(-1, 7)

In a 45 · 45 · 90 triangle, the hypotenuse is √2 · legs, because a 45 · 45 · 90 triangle is isosceles, so the legs are the same length. So, we have 3√2 · √2 = 6, so the hypotenuse is 6.

x=6

Answer:

Use the formula pi r^2. You are finding the radius. Plug the numbers in.

Answer:

Should be the second one.

First you have to think that the entire circle is blue. So the area of the blue circle is: 3.14*11^2 = 379.94.

Then you have to look at the smaller circle. There the radius is: 3. So the area would be: 3.14*3^2 = 28.26

They are asking you to find the shaded area. So you subtract the bigger circles area with the smaller circle.

379.94 - 28.26 = 351.68 to the exact.

Answer:

The author thought the event was exciting and interesting

Answer:

i think its 44cm^3

Step-by-step explanation:

Respuesta:

1089,75 kg

Explicación paso a paso:

Dado que :

Masa de embotellado lleno = 1090 kg

Masa de la botella vacía = 250 g

Masa de aceite que contiene la botella:

Expresando la masa de la botella cuando se llena en gramos:

1000 g = 1 kg

1090 kg = (1090 * 1000) = 1090000 g

La masa de aceite que contiene la botella es así:

Masa de la botella cuando está llena - masa de la botella cuando está vacía

1090000 g - 250 g = 1089750 g

Por tanto, la masa de aceite es 1089750 g

O 1089750/1000 = 1089,75 kg

Step-by-step explanation:

hope it is helpful to you

Answer:

rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

Answer:

72 different ratings

Step-by-step explanation:

To find how many different ratings there are, multiply all the factors together.

2 * 4 * 3 * 3 = x

8 * 9 = x

x = 72

72 different ratings

Answer:

it would be (9/n )+ 2 = 8

Step-by-step explanation:

I hope this is right :)))

Answer: right 2 units

Grasshoper and Rabbits is correct answer .

Answer:

Exterior = 22.5 degrees

Interior = 157.5 degrees

Step-by-step explanation:

Exterior angles = 360/16 = 22.5

Interior Angles = 180 - 22.5 = 157.5

Answer:

4.7 minutes

Step-by-step explanation:

150/32 is 4.68 which rounds to 4.7

Answer:

mililiter

Step-by-step explanation: