you are taking a trip at the same time as another family. your family traveled 1.900 miles in 2 days, their family traveled 2.700 miles in 3 days. who is traveling faster

Answer:

B

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

2 * ln (e ^ ln (2x)) - ln (e ^ ln (10x)) = ln (30)

Apply exponent rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) +logc (b)

Apply exponent rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (2x) = ln (2) + ln (2)

2(ln (2) + ln (x)) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

ln (2x) = ln (2) + ln (2)

2(ln (2) + ln (x)) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

2(ln(2)+ln(x))-(ln(10)+ln(x))=]

Expand 2(ln(2) +ln(x)

ln (x) + 2 * ln (2) - ln (10) = ln (30)

Subtract 2 * ln (2) - ln (10) from both sides

In(x) + 2ln(2) - In(10) - (2ln(2) - In

Simplify

ln (x) = ln (30) - 2 * ln (2) + ln (10)

Simplifify ln (30) - 2 * ln (2) + ln 10

ln (x) = ln (75)

Apply log rule: If logb(f(x)) = logb (g(x)) then f(x) = g(x)

x = 75

Verify Solutions: X = 75

Check the solutions by plugging them

into 2 * ln (2x) - ln (10x) = ln (30) Remove the ones that don't agree with the equation.

Plug in x =75

2 * ln (2 * 75) - ln (10 * 75) = ln (30)

2 * ln (2 * 75) - ln (10 * 75) = ln (30)

ln (30) = ln (30)

True

Answer:

The answer is F

Step-by-step explanation:

Because I said so

Answer:

Both figures have an area of (6hl) by Cavalieri's Principle for two-dimensional figures.

Step-by-step explanation:

Math Nation

Answer:

120/7

Step-by-step explanation:

means90/7÷3/4

= 90/7 ×4/3

= 120/7

Answer:

B

Step-by-step explanation:

[tex]\textsf{Let}\:(x_1,y_1)=(h,k)[/tex] → new center of the circle

[tex]\textsf{Let}\:(x_2,y_2)=(x,y)[/tex] → point on the circle

Therefore, the radius (r) is the distance between (x, y) and (h, k)

Use the distance formula:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=d[/tex]

[tex]\implies \sqrt{(x-h)^2+(y-k)^2}=r[/tex]

Square both sides:

[tex]\implies (x-h)^2+(y-k)=r^2[/tex]

Answer:

Option B

Step-by-step explanation:

Then we have to use distance formula to derive it

Option B is correct

Answer:

y = 3/5x + 1

Step-by-step explanation:

Formula:

y - y1 = m(x - x1)

Plug in:

y - (-2) = 3/5(x - (-5))

Two negatives make a positive:

y + 2 = 3/5(x +5)

Distribute 3/5 to (x + 5):

y + 2 = 3/5x + 3

Get y by itself by - 2:

y = 3/5x + 1

Hope this helps you :)

Answer:

74

Step-by-step explanation:

This is called a central angle, meaning that what ever te angle measure is, is the same to its ark measure.

So to find that inside angle measure you have to subtract 360 by 286

whitch is 74

74 is your inside angle and the angle for ark AB

Answer:

9r^2 + 7r - 5

Step-by-step explanation:

Step-by-step explanation:

Square root is equivalent to 1/2 power:

[tex] {(9 {a}^{16} {b}^{36} )}^{ \frac{1}{2} } [/tex]

Square root of 9 is 3. Multiply the exponents by 1/2 to get:

[tex] 3{a}^{8} {b}^{18} [/tex]

The statements that describe the variables x and y are:

In the graph that relates variables x and y (see attachment), we can see that the points are scattered on the coordinate plane and they do not follow a specific pattern.

If the points are scattered, then the graph shows no association.

Hence, the graph shows no association

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The rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar. Then the correct option is B.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The rectangle EFGH is dilated of the rectangle ABCD with a center of the dilation at the origin.

From the figure, it is clear that the rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar.

More about the rectangle link is given below.

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Answer:

[tex]b^x =A[/tex]

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

welll i have no clue just guess i cant even read the question

Answer:

about 272944 miles

Step-by-step explanation:

d=86,881mi

c=d(pi)

c=86881pi

c≈272944mi

Answer:

I believe that would be -24/16, -√2, 21/51, and then 0.42

Step-by-step explanation:

This is according to math app

Answer:

15

Step-by-step explanation:

i kinda remember i think

2(x+8)=46

Answer:

Equation:

(5x)° + (x - 6)° = 90

OR

5x + x - 6 = 90

x = 16

m

Angle1 = 80°

mAngle2 = 10°

Step-by-step explanation:

Angle 1 + Angle 2 adds up to 90°. The tiny square in the corner of the image shows you that the whole thing is 90°.

So write the equation base on that.

5x + x - 6 = 90

Combine like terms(add the x's)

6x - 6 = 90

Add 6.

6x = 96

Divide by 6.

x = 16

Fill in 16 for x to find the measures of the angles.

Angle 1 = 5x

= 5(16)

= 80°

Angle 2

= x - 6

= 16 -6

= 10°

And 80°+ 10° is 90° so that's a good check. Hope this helps!

Answer:

CE

Step-by-step explanation:

CE IS THE REQUIRED ANSWER FOR THE GIVEN QUESTION

If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].

If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].

Two shapes are similar if all their corresponding angles are congruent and their corresponding sides are proportional.

Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional.

When two shapes are similar in two dimensions, the ratio of their areas is the square of the scale factor.

A comparable relationship holds in three dimensions as well.

Surface Area Ratio: If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].

Volumes of Similar Solids; Just like surface area, volumes of similar solids have a relationship that is related to the scale factor.

Volume Ratio: If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].

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Answer: A its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if y = 0

0 = -2x + 4 _ eq 1

0 - 4 = -2x

-4 = -2x

divide through by 2

x = -4 ÷ -2

x = 2

if x = 0

y = -2(0) + 4_ eq 2

y = 0 + 4

y = 4

:.(x,y) = (2,4)

Answer:

19.6

Step-by-step explanation:

A = πr²

A = (3.14159)(2.5 in.)²

A = 19.6 in.²

Answer:

704 cubic units

Step-by-step explanation:

First let's calculate the volume of the cube. The formula to calculate the volume of a cube is V = a^3, a being the edge length of the cube. So we need to cube the value of a, which is 8. 8 cubed is 512 cubic units.

Now we need to calculate the volume of the triangular prism. The formula to calculate the volume of a cube is V = 1/2b * a * h, a being the side edge length of the prism, b being the height of the triangular side, and h being the base edge length of the triangular side, if that makes any sense (easier to explain visually). h and a are equal to the given a, which is 8 in this case. And b in the formula is equal to b in the given problem. So we substitute the values into the formula: V = (1/2*6) * 8 * 8 = 3 * 64 = 192 cubic units.

Now we take the sum of both of the figures:

512 + 192 = 704 cubic units.

Answer:

5 for both.

Step-by-step explanation:

Multiplying exponents rule with like bases;

Add powers with like bases.

So, if we look at x to the power of the blank multiplied by x to the power of 5, we know that 5 added to that unknown/blank power would equal in 10(using the multiplication of exponents rule), because in the results it says x^10.

Thus,

x to the power of __       ·       x to the power of 5 = x to the power of 10

And, 5 would make a solution for the blank, because;

x to the power of 5      ·       x to the power of 5 = x to the power of 10, which is true because their exponents added together would be 10 → (5 + 5).

Now, if we look at y to the power of 3 multiplied by y to the power of the blank, we know that 3 added to the unknown/blank power would equal in 8(using the multiplication of exponents rule) because in the results says y^8.

Thus,

y to the power of 3       ·       y to the power of __ = y to the power of 8

And, 5 would make a solution for the blank, because;

y to the power of 3       ·       y to the power of 5 = y to the power of 8,  which is true because their exponents added together would be 8 → (3 + 5).

Overall you're basically just multiplying all those exponents together.

Answer:

12.7

Solving steps:-

d = a√2

d = 9 (1.41)

d = 12.69

d = 12.7

Answer:

Area = 245 ft

(Width

Step-by-step explanation:

l = 5w

Where l is length and w is width.

We also know that the perimeter is 84 ft, so:

2l + 2w = 84

Now we can plug in 5w for l since we found the equality earlier:

2(5w) + 2w = 84

and then solve for w:

10w + 2w = 84

12w = 84

w = 7

so

l = 5 × 7

l = 35

The length is 35 and width is 7 so

the area of the rectangle is

[tex]7 \times 35 = 245ft [/tex]

Answer:

They need $60.32 in order to purchase the swing set.

Step-by-step explanation:

682.56-200.000 = 482.56

482.56/8 = $60.32

Answer:

8/52 = 4/26 =2/13

Step-by-step explanation:

A there are 4 aces

5 there are 4 5s

4+4=8

Answer:

40

Step-by-step explanation:

40 because 39 will round up to 40 by 1

The probability in percentage that the next customer will pay with a debit card will be 68.42%.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

She knows that in the last week, 13 customers paid cash, 39 customers used a debit card, and 5 customers used a credit card.

The probability that the next customer that will pay with a debit card will be given as,

P = 39 / (13 + 39 + 5)

P = 39 / 57

P = 0.6842 or 68.42%

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Answer:

1/4

Step-by-step explanation1/4