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An African bull elephant has a mass of about 5,5 x 10 grams. A flea has a mass of about 10 x 10 grams. Which statement is true?
O A The mass of the elephant is about 55,000,000 times greater than the mass of the flea.
OB. The mass of the elephant is about 550,000 times greater than the mass of the flea.
O c The mass of the elephant is about 55,000 times greater than the mass of the flea.
OD The mass of the elephant is about 5,500,000 times greater than the mass of the flea.

[tex]x^2+7x+4=7x[/tex]

[tex]x^2+4=0[/tex]

[tex]x^2=-4[/tex]

Square of any real number cannot be negative because - * - = + so this equation has no solutions

Answer:

Mean: [tex]93.2\; \rm ^{\circ} F[/tex].

Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].

Step-by-step explanation:

Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].

If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:

[tex]\overline{Y} = m\, \overline{X} + b[/tex].

[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].

The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:

[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].

In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:

[tex]F = (9/5)\, C + 32[/tex].

It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:

[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].

[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].

Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].

Answer:

$14

Step-by-step explanation:

53.85 divided by 3 is 17.95

63.90 divided by 2 is 31.95

31.95-17.95=14

Answer: $14

Step-by-step explanation:

First find out how much each child's ticket costs. 53.85/3 = 17.95. Then find of the same thing for an single adult ticket. 63.90/2 = 31.95. Finally we subtract both numbers 31.95-17.95= 14 dollars. Thats your answer

Answer:

64 is the fourth term

Step-by-step explanation:

Note : -

First term : 2

Second term : 8

Third term : 4

Fourth term : 64

Fifth term : 256

Sixth term : 1024

Answer:

-$50.00

Step-by-step explanation:

The answer is definitely 0.15

Answer:

19. is 18

31. is 10y-x

Step-by-step explanation:

thats only what i know sorry

Step-by-step explanation:

Okay so, 22:40 is 10:40pm

07:32 is am

Time goes up to 60 minutes, it would be 52 minutes at the end(20m to get to 11pm + the 32minutes)

Then there would be 8 hours alone (11 to 7 is 8 hours)

So it takes 8 hours and 52 minutes from 10:40pm to 7:32am

The commission function is an illustration of the absolute functions

The commission for the sales of 7 cars is 16

The function is given as:

[tex]\mathbf{E(x)=\mid 5- \frac{6x}{2}\mid}[/tex]

When an employee sells 7 cars, we have:

x = 7

So, the equation becomes

[tex]\mathbf{E(x)=\mid 5- \frac{6\times 7}{2}\mid}[/tex]

Simplify

[tex]\mathbf{E(x)=\mid 5- 3\times 7\mid}[/tex]

[tex]\mathbf{E(x)=\mid 5- 21\mid}[/tex]

Simplify

[tex]\mathbf{E(x)=\mid- 16\mid}[/tex]

Remove absolute brackets

[tex]\mathbf{E(x) = 16}[/tex]

Hence, the commission for the sales of 7 cars is 16

Read more about absolute functions at

https://brainly.com/question/1389494

Answer:

C

Step-by-step explanation:

i did it already

Answer:

[tex]6^{2}[/tex]

Step-by-step explanation:

Use power rules.

[tex]\frac{6^{7} }{6^{5} }[/tex]

[tex]6^{7-5}[/tex]

[tex]6^{2}[/tex]

Another way of solving in which the 6s on the numerator cancel with the 6s on the denominator:

[tex]\frac{6*6*6*6*6*6*6}{6*6*6*6*6}[/tex]

[tex]\frac{6*6}{1}[/tex]

6*6

[tex]6^{2}[/tex]

Answer:

n = 1

Step-by-step explanation:

n - 6 = 5(n-2)

n - 6 = 5n - 10

-6 +10 = 5n - n

4 = 4n

n = 4/4

Answer:

x=2

Step-by-step explanation:

Answer:

X =2

Step-by-step explanation:

4X=8

X=8/4

X=2

Answer:

car B

Step-by-step explanation:

i used my brain

Answer:Correct option is

A

10

Given y=(x−11)  

2

⇒y=x  

2

−22x+121

After substitute y=25. we get,

x  

2

−22x+121−25=0

⇒x  

2

−22x+96=0

⇒(x−16)(x−6)=0

⇒x=16,x=6

∴ two points are  A,B are (16,25),(6,25).

Distance between A and B is  

(16−6)  

2

−(25−25)  

2

​

=10

Hence, option A is correct.

Answer:

About 186,000 miles per second.

Step-by-step explanation:

Answer:

Simplify the expression.

12xy−72yexponent 2 -6x

Step-by-step explanation:

got it from mathaway

Answer yes, no

Step-by-step explanation:

for number one, 12.01 and 11.999 are being compared

let’s start by looking at the non decimal digits

12 is bigger than 11, so we can assume that anything bigger than 12 is less than anything less than twelve, so the answer is yes

for number two, they are 2 different numbers, so they are not equal

Answer:

sequence of numbers such that the difference between the consecutive terms is constant.

the constant is 2 (Ex. 18-2=16-2=14....) and your answer is

yes

Answer:

Division problem - 2/5

Fraction - 2/5

Step-by-step explanation:

The answer is the same because in mathematical situations, division and fraction is considered same.

Answer:

First option: y = 5/6x + 12

Step-by-step explanation:

In the slope-intercept form, y = mx + b:

m = represents the slope

b = represents the y-coordinate of the y-intercept, (0, b).

In your given question, it states that the slope (m) = 5/6, and the y-intercept is (0, 12). This means that the value of (b) for your linear equation is the y-coordinate of (0, 12). Therefore, the correct answer is:

y = 5/6x + 12

Answer:

72.55 ≤ x≤ 123.40

Step-by-step explanation:

c = 16.95x + 4.75,

We have to purchase a minimum of 4 games

Let x = 4

c (4) = 16.95(4) + 4.75

c(4) =67.8+4.75 = 72.55

This is the smallest amount we will spend

The most we will purchase is 7 games

Let x = 7

c (7) = 16.95(7) + 4.75

c(7) =118.65+4.75 = 123.40

This is the largest amount we will spend

The range is

72.55 ≤ x≤ 123.40

Answer:

(x - 7)(x - 4)(x + 4).            

Step-by-step explanation:

A(x) = x3 – 7x² – 16x +112

Dividing by x-7:

      x^2  - 16               <-------- Quotient

     -----------------------------

x-7)x^3 - 7x^2 - 16x + 112

     x^3 - 7x^2

                    0 - 16x + 112

                        - 16x + 112

                          ..............

so A(x) = (x - 7)(x^2 - 16)       x^2 - 16 is the difference of 2 squares so we have:

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

Checking by expanding the brackets:  

(x - 7)(x - 4)(x + 4)

= x(x - 4)(x + 4) - 7(x - 4)(x + 4)

= x(x^2 - 16) - 7(x^2 - 16)

= x^3 - 16x - 7x^2 + 114

= x^3 - 7x^2 - 16x + 112          

Answer:

b The red dwarf is dimmer than yellow dwarf

Answer:

A red dwarf is a small, cool, very faint, main sequence star whose surface temperature is under about 4,000 K. Red dwarfs are the most common type of star.

Step-by-step explanation:

Answer: Jose incorrectly rounded $2.85 down to $2. The estimate should $18.

Step-by-step explanation:

lol i had this question

Answer:

-5

Step-by-step explanation:

4x-3 = 7x+12

4x-15 = 7x

-15 = 3x

-5 = x

Answer:

Breadth/width = 1.936cm, length = 7.746cm

Step-by-step explanation:

Perimeter of a rectangle would be [tex]2L*2W=60cm[/tex] in this case. Breadth is width.

But we can rewrite this equation given that the width is 1/4 the length. This means 4 of the widths would equal one length.

[tex]W=\frac{1}{4}L[/tex]

[tex]L=4W[/tex]

We can substitute L with the 4W

[tex]2(4W)*2(W)=60cm[/tex]

Now we can just solve for the width W.

[tex]8W*2W=60\\16W^2=60\\W^2=\frac{15}{4} \\W=\sqrt{\frac{15}{4} } \\W=\frac{\sqrt{15} }{2}=1.936cm[/tex]

We now know the width is about 1.936cm

We can find the length given our formula before of [tex]L=4W[/tex]

[tex]L=4(\sqrt{\frac{15}{2} } )=2\sqrt{15} =7.746cm[/tex]

So the breadth/width is 1.936cm and the length is 7.746cm.

Answer:

Answer:

1. x15 (a)

2. 1/x15 (b)

Step-by-step explanation:

multiply exponents

simplify expression

Step-by-step explanation: