Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour.

Tori wrote this expression to determine the distance she would travel into outer space.

(3.21 × 103)(1.13 × 105)

Estimate the distance travelled.
Almost-equals30 × 1015 meters
Almost-equals3 × 108 meters
Almost-equals30 × 108 meters
Almost-equals3 × 1015 meters

Answers

Answer 1

Answer:

the answer is B

Step-by-step explanation:

smort :)

Answer 2

Answer:

bbbbbbb

Step-by-step explanation:


Related Questions

What is the definition of exponential growth?

Any help out there

Answers

Answer:

Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Answer:

The answer is probably B. If not it might be C.

Step-by-step explanation:

Exponential growth is growth that becomes more and more rapid. I hope this helps :).

PLEASE HELP its urgent! If answer is right I'll mark as brainliest:)
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 3 metres.
Work out d (rounded to 2 DP) when F=0.035 Newtons.​

Answers

Answer:

1.24 m

Step-by-step explanation:

F ∝ 1/d²

F = k/d²

Use values given to solve for k

0.006 = k/3²

k  = 0.054 (I multiplied both sides by 3² in the equation above)

New equation is F= 0.054/d²

Plug in your numbers so 0.035 = 0.054/d²

0.054/0.035 = d²

You can simplify if you want so d² = 54/35

Square root both sides to solve for d

√54/35 = 1.24 m

help please!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

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

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x - 40? Determine the solution set algebraically. O (-5, -80) (5,0) O (5,0) and (-5, -80) O no solutions​

Answers

Answer:

(5, 0)

Step-by-step explanation:

Se the equations equal

x² - 2x - 15 = 8x - 40

Subtract 8x from both sides

x² - 10x - 15 = -40

add 40 to both sides

x² - 10x + 25 = 0

Factor

(x - 5)(x - 5) = 0

x = 5

---------------

plug in x = 5 into

y = 8x - 40

y = 8(5)- 40

y = 0

-----------------

Solution

(5, 0)

SOMEONE PLEASE HELP ME WITH THIS QUESTION. A circle has a circumference of 36.
What is the area of the circle? Take the pi to be 3.142. State the answer to the nearest whole
number.​

Answers

Answer:

The correct answer is - 103.13

Step-by-step explanation:

Given:

Circumference (C) = 36

Area =?

Formula:

Formula of area

A=πr2

formula of circumference

C=2πr

Solution:

C= 36 given so

36 = 2*3.142*r (r is radius)

r = 36/6.284

= 5.729

Putting the value of r in the formula of Solving for Area

A = 3.142*(5.729)^2

= 3.142*32,821

= 103.1124 or 102.3

A and B are 2 cylinders that are mathematically similar the area of the cross section for cylinder A is 18cm squared. find out the volume of cylinder b

Answers

Answer:

Volume of cylinder B = 720 cm³

Step-by-step explanation:

Given:

A and B are similar cylinder

Height of cylinder B = 10 cm

Height of cylinder A = 5 cm

Area of the cross section for cylinder A = 18 cm²

Find:

Volume of cylinder B

Computation:

Area of the cross section for cylinder B = a

So,

(10/5)² = (a/18)

4 = a/18

Area of the cross section for cylinder B = 72 cm²

Volume of cylinder B = Area of the cross section for cylinder B x Height of cylinder B

Volume of cylinder B = 72 x 10

Volume of cylinder B = 720 cm³

triangles ABE, ADE, and CBE are shown on the cordinate grid, and all the verticals have coordinates that are integers

Answers

only ABE and CBE are congruent

Use the Pythagorean Theorem (a? + b2 = (?) to find the missing side length. Round to the nearest tenth.

Answers

Answer:  3.9  (choice A)

==============================================

Work Shown:

a = 1b = unknownc = 4

Apply the pythagorean theorem to get

a^2+b^2 = c^2

1^2+b^2 = 4^2

1+b^2 = 16

b^2 = 16-1

b^2 = 15

b = sqrt(15)

b = 3.87298

b = 3.9

Question 2 of 10
If you apply the changes below to the quadratic parent function, f(x) = x2,
what is the equation of the new function?
• Shift 1 unit left.
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
A. g(x) = -3(x-1)2
B. g(x) = -3(x + 1)2
C. g(x) = (-3x+1)
D. g(x) = -3x2 - 1

Answers

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.

To find:

The function after the given transformations.

Step-by-step explanation:

The transformation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                ... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If k<0, then the graph of f(x) is reflected over the x-axis.

If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the graph of f(x) shifts 1 unit left, so a=1.

The graph of f(x) vertically stretch by a factor of 3, so |k|=3.

The graph of f(x) reflected over the x-axis, so k=-3.

There is no vertical shift, so b=0.

Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get

[tex]g(x)=-3f(x+1)+0[/tex]

[tex]g(x)=-3f(x+1)[/tex]

[tex]g(x)=-3(x+1)^2[/tex]                     [tex][\because f(x)=x^2][/tex]

Therefore, the correct option is B.

Can some please help me? ~ASAP~

Answers

Answer:

B 12 ^ 1/2  x^ 3/2

Step-by-step explanation:

sqrt( 12x^3)

Rewriting the square root as a fractional power

12 ^ 1/2 x^3^1/2

We know that a^b^c = a^ (b*c)

12 ^ 1/2  x^ 3/2

Answer:

B. 12^1/2 x^3/2

Step-by-step explanation:

For example, x^3/2 is equivalent to √x³. The numerator of the exponent represents that number's exponent and the denominator represents the number root.

resuelve la siguiente ecuación polinómica​

Answers

Answer:

This question cannot be solved.

Step-by-step explanation:

because they have different

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

Answers

Answer:

4 miles apart. the answer this question.

Mark is receiving a pay rise of 7%. He currently earns £15,000. How much will Mark earn after his pay rise?

Answers

Answer:

£16,050

Step-by-step explanation:

Mark's current pay is £15,000.

His pay raise is 0.07(£15,000), or £1,050

His new pay is the sum of these two results:  £15,000 + £1,050 = £16,050

3) The triangles shown are congruent using ASA, but they arb not marked completely. Mark the corresponding parts in this drawing that must be congruent in order to apply the ASA. Then write the congruence statement in the spaces provided. (2 pts) CAB FDE ____=____

Answers

Answer:

angle A = Angle E

ΔCAB ≅ΔFED

Step-by-step explanation:

ASA  means Angle side Angle Where the side is between the two angles

We have an angle C= F  and a side AC = EF

We need angle A = Angle E

ΔCAB ≅ΔFED

The owner of a smoothie company wants to rent a kiosk in the new mall. He is choosing between two spaces. Both have floor plans shaped like parallelograms. The first space is 12 feet wide and 16 feet long. The second space is 13 feet wide and 15 feet long. Which is the larger space? Explain.

Answers

Answer:

The second space (13 feet wide & 15 feet long) is the larger space.

Step-by-step explanation:

According to the question,

Given, The owner of a smoothie company wants to rent a kiosk in the new mall. He is choosing between two spaces. Both have floor plans shaped like parallelograms. The first space is 12 feet wide & 16 feet long ( Rectangle, A Type of Parallelogram).

Thus, The Area Of Rectangle = Length x Width ⇒ 12 × 16 ⇔ 192 Feet² .

The second space is 13 feet wide & 15 feet long( Rectangle, A Type of Parallelogram) .

Thus, The Area Of Rectangle = Length x Width ⇒ 13 × 15 ⇔ 195 Feet² . Hence it is Clearly Shown here the The second space (13 feet wide & 15 feet long) is the larger space .

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Answers

Answer:   D)  x+6

==========================================================

Explanation:

The x intercepts (aka roots) are where the graph crosses or touches the x axis. These locations directly correspond to help set up the factors.

The root x = -6 shows that x+6 is a factor.

Effectively, we add 6 to both sides so that we go from x = -6 to x+6 = 0.

Complete the table for the given rule. Rule: y = x + 3

Answers

Answer:

Step-by-step explanation:

since there is no table included with the question I'm concluding that you need to find values of y using values of x, simply substitute the x values in the equation and you'll get the y value like this

if x = 1 y = 4

Answer:

x - 0 1 2 3 4 5

y - 3 4 5 6 7 8

It is very simple, all you have to do is add three to x every time, for example if x is 153, y will be 156. 3 should be the beginning, the y intercept in graphs, and the beginning means x should be 0.

what is the corrct answer​

Answers

D is the right answer

A ratio is equal to 3:8 if the antecedent is 21 find the consequent​

Answers

Answer:

56

Step-by-step explanation:

To find the "consequent," write out and solve an equation of ratios:

  3         x

------- = ------

  8         21

Through cross-multiplication, this yields  8x = 63, so that x must be x = 63/8.

Alternatively, solve this modified version of the original equation for x:

  3         21

------- = ------

  8          x

Then 3x = 8(21), or x = 8(7), or x = 56.

Note that 21 and 56 are in the ratio 3:8

Answer please thanks. Brainliest

Answers

Answer:

its the 3rd answer

Step-by-step explanation:

Answer:

t-h=negative

Step-by-step explanation:

Suppose that the 100 people in society C all know the same 10 facts, while the 10 people in society D specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, how many times better is the standard of living in society D

Answers

Answer:

29 times

Step-by-step explanation:

Given :

Society C ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society D:

Population = 19

Common fact = 5

Specialized fact = 5 * 10 = 50

Total facts = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society D is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

helppppopoop help help help

Answers

Answer:

160

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

        84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

If a computer prints 225 lines in 3 seconds how many lines can it print per minute

Answers

Answer:

225 lines    *  60 seconds   = 13500 lines = 4500 lines

3 Seconds     1   minute             3 minutes       1   minute

Step-by-step explanation:

2x10+3a=59 What is a?​

Answers

Solution:

(2*10)+3a=59
(20)+3a=59
3a=59 - 20
3a=39
a= 39/3
a= 13

answer is :59/3-2x^10/3

Step-by-step explanation:

Simplify cot x - cos to the power 3 x csc x

Answers

The answer in the picture
I hope it will helpful for u

Find two numbers whose difference is 10 and whose product is a minimum.​

Answers

Answer:

Answer: {-5, 5}. Product is -25, which is the minimum.

Step-by-step explanation:

let a, b denote the two numbers. We know that b-a=10.

We are looking for a minimum over the product a*b.

One can minimize this using derivatives. In case you have not yet had derivatives, you can also use the vertex of a parabola (since the above is a quadratic form):

The minimum is at the vertex a=-5 and so b=5

Their distance is 10, and their product attains the minimum value of all possiblities -25.                                                                                                          

Answer:

Step-by-step explanation:

let the numbers be x and y,let y>x

y-x=10

y=x+10

product P=xy=x(x+10)=x²+10x

[tex]\frac{dP}{dx} =2x+10\\\frac{dP}{dx} =0,gives\\2x+10=0\\2x=-10\\x=-5\\\frac{d^2P}{dx^2} =2>0 ~at~x=-5\\[/tex]

∴P is minimum at x=-5

y=x+10=-5+10=5

numbers are -5,5

Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?

Answers

Answer:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]

Step-by-step explanation:

The question is poorly formatted. The original question is:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]

We have:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]

Open bracket

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

Express 8 as 2^3

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

Express 2^3 as 8

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}[/tex]

Expand each exponent

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}[/tex]

Split

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}[/tex]

Factorize

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]

Answer:

42x^2 ^3 square root 3x

Step-by-step explanation:

i got it right

a+b+c=68
a-b=5
b:c=3
-------------------
a,b,c=?
-------------------

Answers

Answer:

a = 32

b= 27

c = 9

Step-by-step explanation:

a= 5+ b from the second equation

c= b/3 from the third equation

substitute the above equations to the first equation then solve for b your answer will be 27

substitute the value of b in the second equation you will solve for a

perform the same substitution to the third equation you will get the answer for c

Step-by-step explanation:

a-b=5<=>a=5+b (1)

b:c=3<=>b=3c (2)

a+b+c=68<=>5+b+3c+c=68<=>5+3c+3c+c=68

<=>7c=63<=>c=9

Fill in (2), we have b=3c=3.9=27

and in (1), we have a=5+b=5+27=32

So, a=32, b=27, c=9

reverse percentage problem

Answers

answer: you're missing the problem

Find the sum of the first seven prime numbers that have a units digit of 7.

Answers

Answer:

7, 17, 37, 47, 73, 79, 97

Step-by-step explanation:

they have 7's as one of their digits

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