Find the values of the constant m for which the line y = mx is a tangent to the curve y=2x^2 - 4x + 8​

The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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The effect on the graph related to f(x) to f(x) + k is VERTICAL SHIFT.

This is becasue to each value of f(x) you add the constant k, the consequence is a vertical displacement of the function.

9 and 10are two integers is √85 between.

The number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer denoted by a minus sign (1, 2, 3, etc.) are all examples of integers. The equivalent positive numbers' additive inverses are the negative numbers. The boldface Z or blackboard bold symbol is a common way to represent the set of integers in mathematical expressions.

The set of all natural numbers, N, is a subset of the set of all rational numbers, Z, which is a subset of the set of all real numbers, R.

Z is a countably infinite number, much like the natural numbers. A real number that may be expressed without a fractional component is said to be an b.

According to the given statement;

the two perfect squares that are close to 85 is 9 and 10.

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Answer:

The function g(x) is the derivative of the function sin(x). So, g(x) = cos(x).

Therefore, the instantaneous rate of change of g with respect to x at x = π/3 is cos(π/3), which is approximately equal to 0.5.

Step-by-step explanation:

np and pls mark brainlist:)

You graph >7 with an open dot to the right.

The inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Inequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:

These symbols are used in mathematical expressions and equations to compare values and express relationships between them.

Therefore, with a good understanding of inequality signs we conclude that:

On a graph, > 7 is with an open dot to the right.

Only the inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

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Answer:

a) h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

b) 2.92

Step-by-step explanation:

a)

Here

Number of interviewees = N = 12

Number of job openings = M = 5

Interviews schedules for the first day =  n = 7

N − M = 12 - 5 = 7

Using hypergeometric distribution:

Let X be the no. top four candidates interviewed on first day.

The probability mass function of X:

P(X = x) = \((^{M} C_{x})\)   \((^{N-M} C_{n-x})\) /  \((^{N} C_{n})\)

It can be written as:

h(x; n, M, N)  =  \((^{M} C_{x})\)   \((^{N-M} C_{n-x})\) /  \((^{N} C_{n})\)    

                    = (5Cx) (7C7-x) / (12C7)

                    = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

b)

The expectation is: E(X) = np

E(X) = n * M/N

              = 7 * 5/12

              = 7 * 0.41667

              = 2.9167

Answer:

9 yards

Step-by-step explanation:

multiply the length of the cloth by the length used for bedsheet

\(12*\frac{3}{4}\\9 yards\)

Answer:

Step-by-step explanation:

You can do one of two things when you start this question.

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x−5 y = 4 x - 5 must have a slope that is the negative reciprocal of the original slope.

Step-by-step explanation:

The evaluation of the figure using trigonometric ratios and the area of basic shapes are as follows;

a. The distance between D and T₁ is about 6,29 units

c. The bearing of the point T₁ from D is about N 58.77° E

e. The ratio of the area of the shaded region to the area of the unshaded region is about 4 : 5

A ratio is a quantitative indication of the number of times a quantity or amount is contained in another quantity or value.

a. Solving directly, we get;

The angle, θ, formed by the side of the shaded region with the horizontal are;

θ ≈ arccos ((0.69² + 2.69²) - (2.31² + 3.15²)) ÷ (-2×2.31×3.15) ≈ 58.77°

The distance from D to T₁ = 2.69 + 2.66 + 1.1 ×sin(58.77) ≈ 6.29

c. The bearing is the angle turned by the direction from D to T₁ relative to the north or upwards direction, therefore;

The true bearing of T₁ from D is North 58.77° East

e. The shape of each of the shaded region is a trapezoid.

Area of each trapezoid is found as follows;

A₁ = 0.5 × (0.69 + 2.31) × 2.69 = 4.035

2.66 × sin(90 - 58.77) ≈ 1.379

A₂ = 0.5 × ((4.4 - 1.379) ÷ sin(58.77) + 4.4 ÷ sin(58.77)) ×2.66 ≈ 11.54

2.75 × sin(90 - 58.77) ≈ 1.426

A₃ = 0.5 × ((6.85 - 1.426) ÷ sin(58.77) + 6.85 ÷ sin(58.77)) × 2.75 ≈ 19.74

The sum of the area of the trapezoids is therefore; A = A₁ + A₂ + A₃

Area of the shaded region , A ≈ 4.035 + 11.54 + 19.74 = 35.315

The area of the rectangle = (3.15 + 1.1 + 3.1 + 1.1 + 3.2) × 6.85 ≈ 79.803

Area of the unshaded region ≈ 79.803 - 35.315 = 44.488

The ratio of the area of the shaded region to the area of the unshaded region is therefore; 35.315: 44.488 ≈ 4 : 5

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Answer:

Option D) y=|x-1|+2 is the equation of this graph

==================================================

Explanation:

x = cost of one dinner

4x = cost of four dinners

50-4x = the difference in the cost of $50 vs 4x dollars

To ensure this difference is never negative, we use absolute value to form the expression |50-4x|

Set this equal to 5 since we want this distance or difference to be 5 units above or below 50

|50-4x| = 5

|50 - 4x| - 5 = 0

Answer:

l 50 - 4x l - 5 = 0

Step-by-step explanation:

ANSWER and EXPLANATION

To find the compound inequality represented by the phrase, we first have to write the two inequalities in the phrase.

Let x represent the values.

All values less than or equal to -1 is:

All values greater than 1 is:

Therefore, combining them, we have:

That is the compound inequality.

The graph is:

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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Answer:

3.45

Step-by-step explanation:

pretty sure

Answer:

A

-------------------------w

Its hitting the 1 on on the y and 2 on the x

So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of the line passing through points A and B can be calculated as follows:

slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1

The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept, we can use point A (0,0) and substitute the slope value.

y = mx + b

0 = 1(0) + b

b = 0

Therefore, the equation of the line passing through points A and B is:

y = 1x + 0

Simplifying, we get:

y = x

So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:

y - 0 = 1(x - 0)

y = x

This confirms our earlier answer.

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Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

Answer: y=1/5x

Step-by-step explanation:

Answer:

It is y = y equals 1 Over 5 x Or Y=1/5x.

Step-by-step explanation:

Did it on edge 2020

Proof:

Answer:

x = 1.12

Step-by-step explanation:

1.2 + 7 x 1.12 = 9.04

May I have brainliest please? :)

Answer:

x=9/8

Step-by-step explanation:

1. Combine like terms.

x+7x=9 ---->   8x=9

2. Divide both sides of the equation by the same term

8x=9 -----> 8x/8 = 9/8

3. Simplify

  x = 9/8   or 1.125

Answer:

50k

Step-by-step explanation:

Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Earth's diameter is 0.0092 times less than the sun's diameter.

The Diameter of Earth = 1.3 * 10⁴ km

The Diameter of Moon = 3.5 * 10³ km

Let the diameter of sun be x km

According to the question

The diameter of the sun is 400 times that of the moon.

x = 400 * 3.5 * 10³ km

= 14 * 10⁵ km

The Diameter of earth / diameter of sun

=  1.3 * 10⁴ / 14 * 10⁵

= 0.0092

Hence, The diameter of the Earth is 0.0092 times that of the Sun.

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The amount of money that Katelyn’s brother borrowed for school would be = $ 2,000.

Interest in the amount of money that an individual pays in extra with a borrowed amount of money either from an individual or from the bank.

The formula for simple interest= Principal ×Time × Rate/100

Rate of payment= 6%

Time = 6 years

Simple interest = $720

Principal= X

From the formula above, make principal the subject of formula;

Principal = SI × 100/ T× R

= 720 × 100/ 6×6

= 72000/36

=$ 2,000

Therefore, the amount of money that Katelyn’s brother borrowed for school is $2,000.

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To start, we need write the polynomials:

Now we gonna find the difference between first polynomial and second, like this:

tip: Special care with operate signs.

That is the final solution, you can solve that polynomial if you need.

Answer: $1.50

Step-by-step explanation: 1. subtract the 3.25 from 4.50 to get a difference that is the price of the added hotdog 2. now that you know each hot dog cost $1.25 you can do 3.25 - 2(1.25) to get 0.75 which is the price of one soda. 3. You can no multiply $0.75 by two (the amount of sodas) to get the answer $1.50.

Answer  :      x= \(\sqrt{2wy}\)/ y

Step-by-step explanation:

Answer:

Value of X is 13

The value of x is 13 in given figure, which is correct option (A).

A rhombus is defined as a special type of parallelogram that is a quadrilateral with two pairs of equal parallel sides. it fulfills the requirements of a parallelogram.

The perimeter of a rhombus is defined as the total length of its region. The four sides of a rhombus are equal, its perimeter is calculated by multiplying the length of its side by 4.

Perimeter of a rhombus = 4 × A units,  where ‘A’ is the length of the side of the rhombus

In figure ABCD is a rhombus

Given as :

Angle ∠ A = (5x + 25)

Angle ∠ D = (7x - 1)

Since adjacent angles of a rhombus add up to 180°

(5x + 25) + (7x - 1) = 180 and both equal

So, 5x + 25 = 7x - 1

Rearrange the terms in the equation,

7x - 5x = 1 +25

2x = 26

x = 13

Hence, the value of x is 13 in given figure.

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