What is the range of the number of minutes that employees commute to work?

Answer:

Step-by-step explanation:

Igneous

Sedimentary

Metamorphic

Hope that helps!

The coordinates of the points in the table indicates that the coordinates of the image following the reflections, can be presented on the coordinate plane as shown in the attached graph created with MS Excel.

A reflection transformation is one in which the mirror image of the preimage is created across a line of reflection.

The coordinate points of the image after the specified reflections can be presented as follows;

Original   \({}\)Reflection across the x-axis   Reflection across the y-axis   y = -x

(0, 15)      \({}\) (0, -15)                                      (0, 15)                                   (-15, 0)

(1,  15)      \({}\) (1, -15)                                       (-1, 15)                                   (-15, -1)

(1, 13)      \({}\)  (1, -13)                                       (-1, 13)                                    (-13, -1)

(3, 15)      \({}\) (3, -15)                                      (-3, 15)                                   (-15, -3)

(3, 12)      \({}\) (3, -12)                                      (-3, 12)                                   (-12, -3)

(1, 10)      \({}\)  (1, -10)                                      (-1, 10)                                     (-10, -1)

(1, 8)      \({}\)   (1, -8)                                        (-1, 8)                                      (-8, -1)

(3, 10)      \({}\)(3, -10)                                      (-3, 10)                                    (-10, -3)

(3, 7)      \({}\)  (3, -7)                                       (-3, 7)                                      (-7, -3)

(1, 5)      \({}\)  (1, -5)                                        (-1, 5)                                      (-5, -1)

(1, 2)      \({}\)  (1, -2)                                        (-1, 2)                                      (-2, -1)

(4, 4)      \({}\) (4, -4)                                       (-4, 4)                                      (-4, -4)

(5, 7)      \({}\) (-5, 7)                                       (5, -7)                                      (-7, -5)

(7, 8)      \({}\) (7, -8)                                       (-7, 8)                                      (-8, -7)

(6, 5)     \({}\)  (6, -5)                                      (-6, 5)                                      (-5, -6)

(8, 6)     \({}\)  (8, -6)                                      (-8, 6)                                      (-6, -8)

(9, 9)     \({}\)  (9, -9)                                      (-9, 9)                                      (-9, -9)

(11, 10)     \({}\) (11, -10)                                   (-11, 10)                                    (-10, -11)

(10, 7)     \({}\)  (10, -7)                                   (-10, 7)                                     (-7, -10)

(12, 8)     \({}\)  (12, -8)                                   (-12, 8)                                    (-8, -12)

(13, 6)     \({}\)  (13, -6)                                   (-13, 6)                                    (-6, -13)

(11, 5)      \({}\)  (11, -5)                                    (-11, 5)                                     (-5, -11)

(14, 4)      \({}\) (14, -4)            \({}\)                       (-14, 4)                                     (-4, -14)

(12, 3)     \({}\)  (12, -3)                                   (-12, 3)                                     (-3, -12)

(9, 4)      \({}\)  (9, -4)                                    (-9, 4)                                       (-4, -9)

(7, 3)      \({}\)  (7, -3)                                     (-7, 3)                                       (-3, -7)

(10, 2)    \({}\)  (10, -2)                                   (-10, 2)                                     (-2, -10)

(8, 1)      \({}\)  (8, -1)                                      (-8, 1)                                       (-1, -8)

(5, 2)     \({}\)  (5, -2)                                     (-5, 2)                                      (-2, -5)

(2, 0)     \({}\)  (2, 0)                                      (-2, 0)                                      (0, -2)

The above coordinate points can be used to plot the graphs showing the image of the points following the specified reflections across the x-, y-, and y = -x, axis.

Please find attached the required graph of the coordinate points following the reflection transformations, created with MS Excel.

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The area of the sector is A = π cm² and amplitude is a = 0.75 cm

Given data ,

The area of a sector is given by the formula:

A = (1/2) x r² x θ

where r is the radius of the sector and θ is the central angle in radians.

On simplifying , we get

A = π cm²

r = 1.5 cm

Substituting these values into the formula, we get:

π = (1/2) x (1.5)² x θ

π = (3/4) x θ

Solving for θ, we get:

θ = (4/3) x π

The amplitude of the sector is half of the radius, so:

amplitude = (1/2) x 1.5 cm = 0.75 cm

Hence , the amplitude of the sector is 0.75 cm

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Answer:

I = P/(RT)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

P = IRT

Step 2: Solve for I

Answer:

-0.7071.

Step-by-step explanation:

The value of function sin 315 is -1/2.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Sin 315 degrees can be found by using the unit circle.

The unit circle is a circle with the radius of one centered at the origin of a coordinate plane.

Every point on the unit circle is a point that is one unit away from the origin.

The unit circle is used to help find the exact values of the trigonometric functions at specific angles.

The angle 315 degrees is in the fourth quadrant of the unit circle, so the x-coordinate is negative and the y-coordinate is negative.

Using the x-coordinate, we can calculate the sine to be -1/2.

Hence, the value of function sin 315 is -1/2.

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Answer:

60

Step-by-step explanation:

Multiply the days by the die (20) and multiply that by the sections (60)

Answer:

Hey there!

The domain, or possible x values are (-4, -1, 2, 9).

The range, or possible y values are (-3,  0, 6)

Let me know if this helps :)

Answer:

Domain: { -4, -1, 2,9}

Range: {-3, 0, 6}

Step-by-step explanation:

Domain is the x-values and range are the y-values. You can write it out in an x, y table to be able to see it better. Like shown below,

x         y

-1        6

2         0

9         -3

-4         6

If you need further explanation let me know, but I hope this helps!

Have a great day!

Step-by-step explanation:

12x^2 + 8x

4x ( 3x + 2)

2x^2 - 16x

2x ( x - 8)

Answer:

cool

Step-by-step explanation:

ok

Answer:

81.5%

Step-by-step explanation:

I just took the test

Thus, the volume of solid generated by revolving this region about the y-axis is given as:  54π/7. The correct option is c.

To sketch the region, we first plot the curves on the coordinate plane.

The curve x=3y^3 is a parabola that opens to the right and passes through the origin. The curve x=3 is a vertical line that intersects the parabola at y=∛(1/3).

The curve y=0 is just the x-axis.

Now, to find the volume of the solid generated by revolving this region about the y-axis, we use the method of cylindrical shells.

We integrate from y=0 to y=∛(1/3) because those are the limits of integration for the region we are revolving.

The radius of each cylindrical shell is just the value of x at that y-coordinate, which is x=3y^3. The height of each cylindrical shell is the length of the curve, which is just 3 (the length of the vertical line).

Thus, the volume is given by:

V = ∫0^(∛(1/3)) 2π(3y^3)(3) dy
V = 54π/7

Therefore, the correct option is (c) 54π/7.

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Answer:

Each friend pays $14 on lunch

Step-by-step explanation:

To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

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Answer:

\(x<3\)

Step-by-step explanation:

STEP 1: Move all terms not containing \(x\) to the right side of the inequality.

\(5x<15\)

STEP 2: Divide each term by \(5\) and simplify.

\(x<3\)

STEP 3: The result can be shown in multiple forms.

Inequality Form:

\(x<3\)

Interval Notation:

\((-\)∞\(,3)\)

Answer:

6,309,020 in words is "six million, three hundred nine thousand, twenty."

please make me brainalist

six million three hundred nine thousand twenty

Answer: 54

step by step:

6x4=24

6x5=30

30+24= 54

Therefore, the tree is 78.14 feet tall. Rounded to the nearest hundredth of a foot, the answer is 78.14 feet.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is a fundamental part of geometry and is used in many areas of science, engineering, and technology.

by the question.

A represents the top of the tree, and the line segment AB represents the height of the tree, which we want to find. The angle of elevation, which is the angle between the ground and the line of sight to the top of the tree, is 54°. The distance from the point on the ground to the tree is 52 feet, which we'll call d. Finally, h represents the distance from the ground to the point where the line of sight intersects the tree.

Using trigonometry, we know that:

tan (54°) = h/d

We can rearrange this equation to solve for h:

\(h = d * tan (54)\)

Plugging in the values we know, we get:

\(h = 52 * tan (54) = 78.14\)

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Answer:

43%

Step-by-step explanation:

18/42 ≈ 43%

The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Answer:

The answer is

Step-by-step explanation:

The density of a substance can be found by using the formula

\(density = \frac{mass}{volume} \\ \)

From the question

mass of platinum = 214.5 g

volume = 10 cm³

It's density is

\(density = \frac{214.5}{10} \\ \)

We have the final answer as

Hope this helps you

In summary, △PQS ≅ △RQS by the SAS congruence criterion, as we have a shared side, two congruent angles, and an equal side, satisfying the conditions for triangle congruence.

Proof: To show that △PQS ≅ △RQS, we can use the following information: ∠QSP ≅ ∠QSR (Right angles)

S is the midpoint of PR¯¯¯¯¯ (Given)

PQ¯¯¯¯¯ ≅ QR¯¯¯¯¯ (Given)

QS¯¯¯¯¯ bisects ∠Q (Given)

Using these conditions, we can establish the congruence of the two triangles:

Since ∠QSP and ∠QSR are right angles, we have a common angle. Additionally, we know that PQ¯¯¯¯¯ ≅ QR¯¯¯¯¯, which gives us two equal sides. Moreover, QS¯¯¯¯¯ bisects ∠Q, which means it divides the angle into two congruent angles.

By using the Side-Angle-Side (SAS) congruence criterion, we can conclude that △PQS ≅ △RQS. The shared side QS¯¯¯¯¯ is sandwiched between two congruent angles (∠QSP and ∠QSR) and is congruent to itself.

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Answer:

h=-3

Step-by-step explanation:

Combine like terms ( -2.5h )

1.8=-2.5h-5.7

Add 5.7 to 1.8 ( 7.5 )

Bring down -2.5h

the divide ( 7.5/-2.5 )

h= -3

Answer:

The answer isssss h=-3

Answer:

You go to Target. You buy a box of mints for $2.25. You also want to buy some packs of Goldfish for snacks. They each cost $1.50. You have $12.75 to spend. How many packs of Goldfish can you buy along with the box of mints?

Answer:

55%

Step-by-step explanation:

66

120

x 100% = 55%

Answer:

66 is 55% of 120

Step-by-step explanation:

66 = 120 * x%

percent just means out of 100

for example, 20% is equal to 20/100

so, x% is x/100

66 = 120 * x/100

66/\(\frac{x}{100}\) = 120

66 * 100/x = 120

6600/x = 120

cross multiply

6600/x = 120/1

6600 * 1 = x * 120

6600/120 = x

x = 55

Answer:

B IS THE ANSWER

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

gradient = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

y = 4x - 7 ← is in slope- intercept form

with gradient m = 4

Answer:

d

Step-by-step explanation:

The relationship between △ZVT and △XWU based on a congruence theorem is: D. △ZVT ≅ △XWU by ASA

Recall:

Fromm the information given to us about △ZVT and △XWU, we have the following:

Therefore, the relationship between △ZVT and △XWU based on a congruence theorem is: D. △ZVT ≅ △XWU by ASA

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Answer:

Yes it is a linear function

Step-by-step explanation:

Answer:

x=-2500

Step-by-step explanation:

\(\sqrt{-4x} =100\\\\(\sqrt{-4x})^2=100^2\\\\-4x=10,000\\\\x=-\frac{10000}{4}\\\\x=-2500\)

The given can be solved by simplifying the equation to make x the subject

of the equation.

Reasons:

The equation is; √(-4·x) = 100

The above equation can be expressed as follows;

By squaring both sides, we get;

\(\displaystyle \mathbf{ \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 }} = 100^2\)

Which gives;

\(\displaystyle \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 } = \left(-4 \cdot x \right)^{1 }= -4 \cdot x = 100^2\)

\(\displaystyle -4 \cdot x = 100^2 = 100 \times 100 = \mathbf{10,000}\)

\(\displaystyle -4 \cdot x = 10,000\)

Dividing both sides by -4 gives;

\(\displaystyle x = \mathbf{ \frac{10,000}{-4} } = -2,500\)

Therefore'

x = -2,500

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