if there are 60 miles in each walk how many walks can you walk in 3 miles

The solution of the given linear equation is 5/12.

The basic equation which used symbolize and contribute to solving for an unknown quantity is a linear equation in one variable. It is constantly a straight line and can be conveniently represented graphically.

Now, as per the stated question;

z - 3/4 = -1/3

Bring the constant value on one side and variable on other side.

z = -1/3 + 3/4

Taking LCM on the right side.

z = (-4 + 9)/12

Further simplifying;

z = 5/12

Therefore, the value of the variable 'z' is found as 5/12.

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Answer:

4x+1

Step-by-step explanation:

\((4x^2-7x-2)\div(x-2)= \\\\(x-2)(4x+1)\div(x-2)= \\\\4x+1\)

Hope this helps!

Answer:

fg(x) = 2x² - 1

gf(x) = 4x²-12x +10

Step-by-step explanation:

Given the functions f(x) = 2x-3 and g(x) = x^2 + 1

a) f(g(x)) = f(x²+1)

f(x²+1) = 2(x²+1) -3

f(x²+1)= 2x²+2 -3

f(x²+1) = 2x² - 1

fg(x) = 2x² - 1

Hence function fg(x) is 2x² - 1

b) gf(x) = g(2x-3)

g(2x-3) = (2x-3)² + 1

g(2x-3) = (2x-3)(2x-3) + 1

g(2x-3) = 4x²-6x-6x+9 + 1

g(2x-3) = 4x²-12x +10

gf(x) = 4x²-12x +10

The total value of the liquid in the cone-shaped container is $244.09.

To find the total value of the liquid in the container, we first need to calculate the volume of the cone. The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where r is the radius and h is the height. Given that the diameter is 2.5 inches, the radius (r) is half of the diameter, which is 1.25 inches. Plugging in the values, we get V = (1/3) * 3.14 * 1.25^2 * 9 = 35.04 cubic inches.

Since the liquid is worth $2 per cubic inch, we can calculate the total value by multiplying the volume by the price per cubic inch: $2 * 35.04 = $70.08. Therefore, the total value of the liquid in the cone-shaped container is $70.08.

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Answer:

0

Step-by-step explanation:

(10-1=9)(10-2=8)(10-3=7)(10-10=0)

9*8*7*0=0

Answer: You must start with the parentheses first because you have to leave the x by itself.

Step-by-step explanation:

That means it would be turned into 3(-5x) =6.

Answer:

Try 4321

Step-by-step explanation:

If its not right lmk

If it is can I get brainliest pls

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

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The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

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Answer:

slope intercept form

Step-by-step explanation:

Slope intercept form

Step-by-step explanation:

u need to give the full question

Answer:

108.5

Step-by-step explanation:

46.50/3= 15.50

15.50 x 7=106.5

Answer:

You would get $ 108.50

Step-by-step explanation:

When you divide 46.50 by 3 you get 15.50 when you then multiply 7 by 15.50 you get 108.50

Hope this helps have a great day

Answer:

  11.4

Step-by-step explanation:

You want the distance between C(-5, 5) and D(4, -2).

The distance formula is ...

  d = √((x2 -x1)² +(y2 -y1)²)

For the given points, the distance is computed to be ...

  d = √((4 -(-5))² +(-2 -5)²) = √(81 +49) = √130

  d ≈ 11.4

The length of CD is about 11.4 units.

__

Additional comment

The distance formula is an application of the Pythagorean theorem. It computes the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates.

Question:

Find the point (,) on the curve \(y = \sqrt x\) that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

\((x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})\)

Step-by-step explanation:

\(y = \sqrt x\) can be represented as: \((x,y)\)

Substitute \(\sqrt x\) for \(y\)

\((x,y) = (x,\sqrt x)\)

So, next:

Calculate the distance between \((x,\sqrt x)\) and \((3,0)\)

Distance is calculated as:

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

So:

\(d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}\)

\(d = \sqrt{(x-3)^2 + (\sqrt x)^2}\)

Evaluate all exponents

\(d = \sqrt{x^2 - 6x +9 + x}\)

Rewrite as:

\(d = \sqrt{x^2 + x- 6x +9 }\)

\(d = \sqrt{x^2 - 5x +9 }\)

Differentiate using chain rule:

Let

\(u = x^2 - 5x +9\)

\(\frac{du}{dx} = 2x - 5\)

So:

\(d = \sqrt u\)

\(d = u^\frac{1}{2}\)

\(\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}\)

Chain Rule:

\(d' = \frac{du}{dx} * \frac{dd}{du}\)

\(d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}\)

\(d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}\)

\(d' = \frac{2x - 5}{2\sqrt u}\)

Substitute: \(u = x^2 - 5x +9\)

\(d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}\)

Next, is to minimize (by equating d' to 0)

\(\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0\)

Cross Multiply

\(2x - 5 = 0\)

Solve for x

\(2x =5\)

\(x = \frac{5}{2}\)

Substitute \(x = \frac{5}{2}\) in \(y = \sqrt x\)

\(y = \sqrt{\frac{5}{2}}\)

Split

\(y = \frac{\sqrt 5}{\sqrt 2}\)

Rationalize

\(y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}\)

\(y = \frac{\sqrt {10}}{\sqrt 4}\)

\(y = \frac{\sqrt {10}}{2}\)

Hence:

\((x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})\)

Answer:

5.2

Step-by-step explanation:

Answer:

153.94

Step-by-step explanation:

c=2r*r

The radius is half of the diameter.

To find the radius you will divide 49 inches by 2.

You should get a total of 24.5

Now that you have your radius you are going to use the circumference formula to solve.

C= 2r*r

C=2(24.5)*(24.5)

type that into the calculator (without the parenthesis) and boom your done!

You answer should be 153.938

then you round to get a total of 153.94

I hope i was able to help!

Answer: c = 3771.481981 (decimal place) or 1200.5\(\pi\) (exact form)

Step-by-step explanation:

c = 2\(\pi\)r

c = 2 x \(\pi\) x \(24.5^{2}\)

radius = diameter divided by 2

          = 49 divided by 2

          =  24.5

c = 3771.481981 (decimal place) or 1200.5\(\pi\) (exact form)

A parabola with focus of (-5, -1) and a directrix of y=7 has the equation of the parabola as: (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-5,-1)

h = -5

k + p = -1

P in this problem, is the midpoint between the focus and the directrix

P = (-1 - 7) / 2 = -4

p = -4

the vertex

v(h, k)

h = -5

k + p = -1, k = 3

v(h, k) = v(-5, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - -5)² =  4 * 2 (y - 3)

(x + 5)² =  8 (y - 3)

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But where are the equations?

Answer:

You need to give us the answers

Step-by-step explanation:

The confidence interval which shows 90% confidence level for the mean and assumed standard deviation is (2.94 meals, 3.0565 meals).

Given standard deviation=1.4. Sample size =1271, mean=3.

We have to find the confidence interval for 90% confidence level.

We have to find out α level that is the subtraction of 1 by the confidence interval divided by 2.

α=(1-0.90)/2

=0.05

Now we have to find z in the z table as such z has a p value of 1-α so it is z with p value of 1-0.05=0.95

Z=1.44 from z table.

Now find M as such that

M=z* st/\(\sqrt{n}\)

where st is standard deviation ,n is sample size.

M=1.44*1.4/\(\sqrt{1271}\)

=1.44*1.4/35.65

=2.016/35.65

=0.0565

Lower end= mean -M

=3-0.0565

=2.94

Upper end=Mean+ M

=3+0.0565

=3.0565

Hence the confidence interval showing 90% confidence level is (2.94,3.0565).

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Answer:

z=18.8cm

Step-by-step explanation:

Pythagorean theorem:

\(a^{2} +b^{2} =c^{2}\)

with "a" being 8cm, and "b" being 17cm.

Substitute:
\(8^{2} +17^2=c^2\\64+289=c^2\\353=c^2\\\sqrt{353}=c\\ 18.788....=c\\\)

rounded to the nearest 1 decimal place= 18.8 cm.

So, z=18.8 cm.

(EDITED!!!! I'm so sorry I rounded to the wrong place!!)

Hope this helps! :)

Answer:

table -3,-1,1

Step-by-step explanation:

graph

Answer:

The correct answer is graph C.

Answer:

C)

Step-by-step explanation:

Answer:

Answer: 45 ∘  and 135  ∘

Step-by-step explanation:

Delta Math

Similar triangles may or may not be congruent.

The pair of triangles that can be proved by SAS is (a) the first pair

What is congruent triangles?

Congruence of triangles: 2 triangles are same to be congruent if all 3 corresponding sides square measure equal and every one the 3 corresponding angles square measure equal in measure.

Main body:

From the attached figures, we have the following observations

Figure 1

Two sides of both triangles are congruent

The angles between the sides are corresponding

The two congruent sides represent SS

The corresponding angles imply: SAS

This means that, the first pair of triangles are congruent by SAS postulate

Figure 2

Two angles of both triangles are congruent

The triangle share a common side

The two congruent angles represent AA

The common side imply: ASA

This means that, the second pair of triangles are congruent by ASA postulate

Figure 3 and 4

All sides of both triangles are congruent

This means that, the third and the fourth pairs of triangles are congruent by SSS postulate

Hence, the pair of triangles that can be proved by SAS is (a) the first pair

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Answer:

3.72 x 10^6

5.68 x 10^5

1 x 10^6

4.3 x 10^4

7.5 x 10^7

5 x 10^-11

8.6 x 10^-3

2.7 x 10^-4

1.9 x 10^-2

6 x 10^-6

right side of page

520 000 000

8 000 000

49 000

0.000000248

0.00036

0.000007132

Step-by-step explanation:

its just moving the point.

3.72 x 10^6 you moved the point 6 times to the left so its positive.

5 x 10^-11 moved it 11 times to the right so its negative

Answer:

do not k ow sorry hahaha drs kaka so zhbdbf ddb

The equation of the normal plane of the curve at the point (0, 1, 3π) is -x + 6z - 18π = 0.

To find the normal plane of the curve, we first need to find the normal vector. The normal vector is the cross product of the tangent vectors, which is given by T×T', where T is the unit tangent vector and T' is the derivative of T with respect to t. The unit tangent vector is given by T = (6cos(6t), 6sin(6t), 18), and the derivative of T with respect to t is T' = (-36sin(6t), 36cos(6t), 0). Evaluating these at t = 3π, we get T = (0, -6, 18) and T' = (36, 0, 0). Taking the cross product of T and T', we get the normal vector N = (-108, -648, 0), which simplifies to N = (-2, -12, 0).

Next, we use the point-normal form of the plane equation to find the equation of the normal plane. The point-normal form is given by N·(P - P0) = 0, where N is the normal vector, P is a point on the plane, and P0 is the given point. Substituting the values, we get (-2, -12, 0)·(x - 0, y - 1, z - 3π) = 0, which simplifies to -x + 6z - 18π = 0.

The equation of the osculating plane of the curve at the point (0, 1, 3π) is 6x - y - 12z + 6π = 0.

To find the osculating plane of the curve, we need to find the normal vector and the binormal vector. The normal vector was already found in the previous step, which is N = (-2, -12, 0). The binormal vector is given by B = T×N, where T is the unit tangent vector. Evaluating T at t = 3π, we get T = (0, -6, 18). Taking the cross product of T and N, we get B = (12, -2, 72), which simplifies to B = (6, -1, 36).

Finally, we use the point-normal form of the plane equation to find the equation of the osculating plane. The point-normal form is given by N·(P - P0) = 0, where N is the normal vector, P is a point on the plane, and P0 is the given point. Since the osculating plane passes through the given point, we can take P0 = (0, 1, 3π). Substituting the values, we get (-2, -12, 0)·(x - 0, y - 1, z - 3π) = 0, which simplifies to 6x - y - 12z + 6π = 0.

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Answer:

Step-by-step explanation:

M is the midpoint of AB so:

\(x_B-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_B-y_M=y_M-y_A\\\\x_B-1=1-(-6)\qquad\quad\wedge\qquad\quad y_B-(-3)=-3-(-7)\\\\x_B=1+6+1\qquad\quad\ \wedge\qquad\quad y_B=-3+7-3\\\\x_B=8\qquad\qquad\ \wedge\qquad\qquad y_B=1\)

Answer:

10.90⁰

11.126⁰

12.54⁰

13.180⁰

Step-by-step explanation:

CDE is 180⁰ because it is a straight line

Answer:

15 mL of the solution with 20% water will be needed.

Step-by-step explanation:

Use the inverse relationship

10 mL * (18-15)% = x mL * (20-18)%

x = 10 mL * (3/2) = 15 mL

Answer: 15mL

Step-by-step explanation:

Create a table. Multiply across and add down. The bottom row (Mixture) creates the equation.

                   Qty     ×     %             =      Total          

Solution A     10         15% → 0.15          10(0.15) = 1.5

Solution B      x          20% → 0.20        x(0.20) = 0.20x

Mixture      10 + x   ×    18% → 0.18   =    1.5 + 0.20x

                                  (10 + x)(0.18) = 1.5 + 0.20x

                                    1.8 + 0.18x  = 1.5 + 0.20x

                                    1.8               = 1.5 + 0.02x

                                    0.3              =          0.02x

                                                15  =  x