A bike path is 5 miles long. The city makes it 3 times longer. What is the length of the completed bike path?

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\(\\ \sf\longmapsto b^2=-169\)

\(\\ \sf\longmapsto b=\sqrt{-169}\)

\(\\ \sf\longmapsto b=\sqrt{-(13)^2}\)

\(\\ \sf\longmapsto b=13i\)

Answer:-13

Step-by-step explanation:

Answer:

\(n = 12\)

Step-by-step explanation:

Given

\((p^{20})(p^{-4})^2 = p^n\)

Required

What is n?

\((p^{20})(p^{-4})^2 = p^n\)

Apply law of indices

\((p^{20})(p^{-4 * 2}) = p^n\)

Express -4 * 2 as -8

\((p^{20})(p^{-8}) = p^n\)

Apply law of indices

\(p^{20 - 8} = p^n\)

\(p^{12} = p^n\)

Cancel p on both sides

\(12 = n\)

\(n = 12\)

This figure like, then the construct AB a line and Y be a point outside Y,

and PQ is line through Y, such that PQ║AB. (PQ Parallel AB).

When two or more lines are parallel to one another, it means that they can be extended indefinitely without coming to an end. Since only one line through point PQ can be made to be parallel to AB, the statement supports the construction.

This is the only parallel line that may be drawn to the provided line when a parallel line is built through a point to that line. Lines that are parallel do not meet at any point. As a result, just one parallel line can be drawn through a location and not along a predetermined path.

The assertion in the theorem that this is the only parallel line to line AB that can be constructed through the point PQ justifies the construction of a line via PQ that is parallel to line AB. Any additional line via PQ would not be parallel to the given line since it would meet or overlap line AB at some point when extended.

Draw as per a statement,

Let AB a line and Y be a point outside Y.

And PQ is line through Y, such that PQ║AB.

Therefore, The figure like, PQ is line through Y, such that PQ║AB.

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a) The point which is closest to the yz-plane is B=(-16,0,10).

b) The distance from the yz-plane to this point is 16.

c) The point farthest from the xy-plane is C=(-9,16,16).

d) The distance from the xy-plane to this point 16.

e) None of the given points have a y-coordinate of 0, so there is no point that lies on the xz-plane.

a) To find the point closest to the yz-plane, we need to find the point with the smallest x-coordinate, since the yz-plane is defined by x=0. The point with the smallest x-coordinate is B=(-16,0,10), so B is closest to the yz-plane.

b) The distance from the yz-plane to point B can be found using the formula for the distance between a point and a plane, which is given by:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the plane equation (which are 1, 0, and 0 for the yz-plane), d is the constant term (-0 in this case), and (x, y, z) are the coordinates of the point. Substituting the values for B, we get:

distance = |-16(1) + 0(0) + 10(0) + 0| / √(1² + 0² + 0²) = 16

So the distance from the yz-plane to point B is 16.

c) To find the point farthest from the xy-plane, we need to find the point with the largest z-coordinate, since the xy-plane is defined by z=0. The point with the largest z-coordinate is C=(-9,16,16), so C is farthest from the xy-plane.

d) The distance from the xy-plane to point C can be found using the same formula as before, but with the coefficients of the plane equation being 0, 0, and 1, and the constant term being 0. Substituting the values for C, we get:

distance = |0(0) + 0(0) + 1(16) + 0| / √(0² + 0² + 1²) = 16

So the distance from the xy-plane to point C is 16.

e) To find the point that lies on the xz-plane, we need to find the point with y-coordinate 0, since the xz-plane is defined by y=0. None of the given points have a y-coordinate of 0, so there is no point that lies on the xz-plane.

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9514 1404 393

Answer:

  72

Step-by-step explanation:

The difference of 45 means the difference of digits in the number is 45/9 = 5. So, the ones digit is 7-5 = 2, and the number is 72.

__

If you want an equation, you can use x for the ones digit.

  70 +x = 45 +(10x +7)

  18 = 9x . . . . . . . . . . . . . subtract 52+x from both sides

  2 = x

The ones digit is 2, so the number is 72.

_____

Further explanation

If you start with the two digits xy in a number and reverse them, the difference between the numbers xy and yx is ...

  (10x +y) -(10y +x) = 9(x -y)

This tells you the difference between the digit-reversed numbers is 9 times the difference between the digits.

Answer:

the answer is 72

Step-by-step explanation:

:))))))

Answer:

26^3 ft is what i got.

5ft x 5ft x 2ft = 50ft

3ft x 4ft x 2ft = 24ft

50ft - 24ft = 26ft

Answer:

36 ft³

Step-by-step explanation:

Formula of a rectangular prism :

Volume = Length x Width x Height

Volume of the bin :

Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

Answer:

-14x² - x + 4

Step-by-step explanation:

(-10x² + 5x - 3) - (4x² + 6x - 7)

= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)

= (-10x² + 5x - 3) -4x² -6x +7

= -10x²-4x² +5x-6x -3+7

= -14x²  - x + 4

Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer: put it in a caculator

Step-by-step explanation:

Combine 18x^3 and 5x^3.

Combine x^2 and 6x^2.

Combine 9x and −14x.

Add −3 and 11.

Answer:

10x + x^4/x-2

Step-by-step explanation:

Combine like terms

(10x + x^4)/(x-2)

The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

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

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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The  pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied is 82Pa

Pressure is defined as the ratio of the force to the cross sectional area of an object. Mathematically;

Pressure = Force/Area

Given the following parameters

Force = 1306 Newton

Area = 16 square. meters

Substitute the given parameters into the formula

Presssure = 1306N/16m²

Pressure = 81.625N/m²

Convert N/m² to pascal

Pressure = 82Pa

Hence the  pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied is 82Pa

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Answer:

Step-by-step explanation:

awnser is 82 pa

note

1 N/m2 = 1 Pa.

Answer:

walk = 9/30 -  bike = 3/30 - car = 6/30 - bus = 12/30

Step-by-step explanation:

Answer:

8.25

Step-by-step explanation:

Divide 13.20 by 1.6 to get 8.25 because if the total is 13.20 and there is 1.6 pounds of almonds then you can find the price per pound

Based on the quantity of almonds bought and the price paid, the cost per pound of almond is $8.25.

Haley bought 1.6 pounds of almonds for $13.20.

The amount she effectively paid for each pound of almonds is therefore:

= Total cost / Quantity of almonds

Solving would give:

= 13.20 / 1.6

= $8.25

In conclusion, a pound of almonds cost $8.25.

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the answer is on the picture

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

.

Step-by-step explanation:

Answer:

x=-1, y=2

Step-by-step explanation:

Given:

2y=6x+10

y=2x+4

Substitution for y into first equation:

2(2x+4)=6x+10

4x+8=6x+10

0=2x+2

2x=-2

x=-1

y=2(-1)+4

y=2

Answer

One cup of coffee costs 2 dollars

Explanation

Let the cost of 1 sandwich be s dollars

Let the cost of a cup of coffee be c dollars

Carla can buy 4 sandwiches and 3 cups of coffee for 20 dollars

4s + 3c = 20 ............. equation 1

Steve can buy 3 sandwiches and 4 cups of coffee for 18.50 dollars

3s + 4c = 18.50 .......... equation 2

We can then bring the two equations together

4s + 3c = 20

3s + 4c = 18.50

Solving this equation simultaneously, we obtain that

s = 3.50

c = 2

Hope this Helps!!!

Answer:

23

Step-by-step explanation:

1357/59

23

1357/59=23

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Answer:

Un experimento aleatorio es un experimento o un proceso cuyo resultado no se puede predecir con certeza.

Step-by-step explanation:

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Answer:

0.40 I'm pretty sure tbh

Answer: -7x+4y-z would be the answer

Step-by-step explanation: