Which numbers are a distance of 4 units from 7 on the number line? -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Select each correct answer. O-3 4 O 3 O 15 O 11 O 7​

Complete question :

X: 3, 4, 5, 6

f(x): .25, .55, .15, .05

Answer:

0.60

Step-by-step explanation:

Given the data:

Variance (s) :

Σx²*f(x) - E(x)²:

E(x) = (3*0.25) + (4*0.55)+(5*0.15)+(6*0.05) = 4

Σx²*f(x) - E(x)²: [(3^2 * 0.25)+(4^2 * 0.55)+(5^2 * 0.15)+(6^2 * 0.05)] - 4²

16.6 - 16 = 0.6

The linear function that models the situation is given as follows:

d = 0.85t.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant ratio for this problem is given as follows:

k = 0.83, as each division of d by t has a result of 0.83.

Hence the equation is given as follows:

d = 0.83t.

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Answer:

8

Step-by-step explanation:

2x² + 3x - 6

plug in x with 2

2(2)^2+3(2)-6

2(4)+6-6

8+6-6

14-6

8

Answer:

11.33...33(... represents that the 3 is repeated) or 11 1/3

Step-by-step explanation:

Look in picture

Answer:

If you had actually included the "circle below" maybe this could be answered.

Step-by-step explanation:

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

\(3 \times 10^{-4}, 2 \times 10^{10}\)

The result of the multiplication is given by:

\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

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Answer:

Answer D

Step-by-step explanation:

First equation

5x + 5 = (-4) - 5

5x + 5 = -9

5x = -14

x = -2.8

Solvable

Second equation

4x + 5 = -435

4x = -440

x = -110

Solvable

Third equation

-4x + 5 = (-48) - 4

-4x + 5 = -52

-4x = -57

4x = 57

x = 14.25

Solvable

Fourth equation

-4x + 5 = -4x - 5

5 = -5

Not solvable

Answer:

Option A 8 units left and 6 units up

9514 1404 393

Explanation:

Add sin(θ)

  cos(θ) = sin(θ)

Divide by cos(θ)

  1 = sin(θ)/cos(θ) = tan(θ)

Square both sides

  1 = tan²(θ)

Add 1

  2 = tan²(θ) = sec²(θ)

Take the square root

  √2 = sec(θ) . . . . for 0 < θ < π

_____

Additional comment

The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer:

  6 inches square by 3 inches high

Step-by-step explanation:

For a given surface area, the volume of an open-top box is maximized when it has the shape of half a cube. If the area were than of the whole cube, it would be 216 in² = 6×36 in².

That is, the bottom is 6 inches square, and the sides are 3 inches high.

_____

Let x and h represent the base edge length and box height, respectively. Then we have ...

  x² +4xh = 108 . . . . box surface area

Solving for height, we get ...

  h = (108 -x²)/(4x) = 27/x -x/4

The volume is the product of base area and height, so is ...

  V = x²h = x²(27/x -x/4) = 27x -x³/4

We want to maximize the volume, so we want to set its derivative to zero.

  dV/dx = 0 = 27 -(3/4)x²

  x² = (4/3)(27) = 36

  x = 6

  h = 108/x² = 3

The box is 6 inches square and 3 inches high.

_____

Comment on maximum volume, minimum area

In the general case of an open-top box, the volume is maximized when the cost of the bottom and the cost of each pair of opposite sides is the same. Here, the "cost" is simply the area, so the area of the bottom is 1/3 the total area, 36 in².

If the box has a closed top, then each pair of opposite sides will have the same cost for a maximum-volume box. If costs are uniform, the box is a cube.

Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

To solve this division problem, we can use the rule "division is the same as multiplication by the reciprocal".

So, 1/2 ÷ 7 is the same as 1/2 x 1/7.

Multiplying the numerators and denominators, we get:

1/2 x 1/7 = 1/14

Therefore, 1/2 divided by 7 is equal to 1/14.

Answer: 1/14

Step-by-step explanation:

To solve 1/2 divided by 7, you would first make 7 a fraction as well, which is 7/1. Then you do the inverse operation and fraction which is multiplying. So now, the question is 1/2 multiplied by 1/7. That equals 1/14

Answer:

x<6

Step-by-step explanation:

x is less than six thats what the answer means

Answer:

5,4,3,2,1

Step-by-step explanation:

Answer: The probability of choosing an ace or a club is 16.

Step-by-step explanation:

Answer:

44dgrees

Step-by-step explanation:

Find the diagram attached

Given from  the diagram;

Hypotenuse XZ = 18

Adjacent XY = 13

Required

m<X

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos m<X = XY/XZ

cos m<X = 13/18

m<X = arccos(13/18)

m<X = arccos(0.72222)

m<X = 43.7

m<X ≈ 44degrees

Hence the measure of m<X to  the nearest degree is 44degrees

The value of ∂x/∂s is  4s^2 * t^6.

To find ∂x/∂s, we need to differentiate x with respect to s while treating t as a constant. Let's begin by substituting the given expressions for x, y, and z into the function f(x, y, z):

f(x, y, z) = (x^2)(y^3) + z^3

Substituting x, y, and z:

f(s, t) = ((s^2)(t^3))^2 * (s*t)^3 + ((s^2)*t)^3

Expanding the expression:

f(s, t) = (s^4 * t^6) * (s^3 * t^3) + (s^6 * t^3)

Now, let's differentiate x with respect to s:

∂x/∂s = ∂/∂s [(s^2)(t^3)]^2

Using the chain rule, we can differentiate each term separately:

∂x/∂s = 2 * (s^2 * t^3)^1 * ∂/∂s [(s^2)(t^3)]

Differentiating (s^2)(t^3) with respect to s:

∂/∂s [(s^2)(t^3)] = 2s * t^3

Substituting back into the expression for ∂x/∂s:

∂x/∂s = 2 * (s^2 * t^3)^1 * 2s * t^3

Simplifying:

∂x/∂s = 4s^2 * t^6

Therefore, ∂x/∂s = 4s^2 * t^6.

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Answer:

B

Step-by-step explanation:

14t +22m+100

There's no number of hours

The expression of Jay earned in total is;

14m + 22t + 100

Here,

On Monday, Jay earned $14 per hour for m of hour.

On Thursday, Jay earned $22 per hour for t hour of work.

He also got a $100 bonus.

We have to find the expression of Jay earned in total.

What is Mathematical expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now,

On Monday,  Jay earned $14 per hour for m of hour.

Total earned on Monday = $14m

On Tuesday, Jay earned $22 per hour for t hour of work.

Total earned on Tuesday = $22t

He also got a $100 bonus.

Hence, Total earned = 14m + 22t + 100

So, The expression of Jay earned in total is;

⇒ 14m + 22t + 100

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Answer:

y = 50x + 100

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

50-3x=8

The first step is subtract 50 from each side

50-50-3x=8-50

-3x = -42

Then divide each side by -3

-3x/-3 = -42/-3

x = 14

Answer:

Because -3x is remain after eliminate 50 on both sides.

Step-by-step explanation:

I. Solve 50 - 3x = 8

            50 - 3x = 8

   -50  +50 - 3x = 8 - 50 => {when 50 is +50}

                  -3x = -42 => {when -50 + 50 = 0 and -3x = -3x}

                      x = (-42)/(-3)

                      x = 14

Hope that help :)

Answer:

x = 67

Step-by-step explanation:

2x - 17 + 63 = 180 {Linear pair}

     2x + 46  = 180    

             2x = 180 - 46

             2x = 134

               x = 134/2

              x = 67

\(\color{plum}\bold{x \tt \: = 67}\)

∠63° and ∠(2x-17)° are a linear pair, so their sum will be equal to 180°.

Which means :

\( = 63 + 2x - 17 = 180\)

\( = 63 + 2x = 180 + 17\)

\( = 63 + 2x = 197\)

\( = 2x = 197 - 63\)

\( = 2x = 134\)

\( = x = 67\)

Let us place 67 in the place of x and see if the substitution is equivalent to 180° :

\( = 63 + 2 \times 67 - 17 = 180\)

\( = 63 + 134 - 17 = 180\)

\( = 63 + 117 = 180\)

\( = 180 = 180\)

Thus, the value of x we found out is correct.

Therefore, x = 67

Answer:y=-6x-1

Step-by-step explanation:

The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

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Answer:Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero. all have a fraction value of zero because the numerators are equal to zero.

Answer:

the answer is 1,674

Step-by-step explanation:

because if 3hours in 558 miles you multiply the 3hours in 558miles and the answer is 1,674

Step-by-step explanation:

29x - 3 + 15x + 7 = 180° because these two angles are supplementary

if we add like terms

44x + 4 = 180

44x = 176 divide both sides by 44

x = 4

29x - 3 = 13y - 17 because alternate exterior angles has same measurement

since we found the value of x let's rewrite the equation

4 × 29 - 3 = 13y - 17

113 = 13y - 17

130 = 13y divide both sides by 13

10 = y

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Answer:

2 * 1 ==> 1st option

Step-by-step explanation:

Matrix dimensions are:

number of rows by number of columns

The number of rows is 2   :   ( 2 and 12 are the rows)

The number of columns is 1   :  ( 2      

                                                    12 )    

Hence, the dimensions is 2 * 1.