A quadratic function is defined by \small f\left(x\right)=x^2-8x-4. Which expression also defines \small f and best reveals the maximum or minimum of the function?

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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The measure of angle A in the isosceles triangle ABC is 62.5 degrees.

In an isosceles triangle ABC, where AB = AC, we are given that angle B (denoted as ∠B) measures 55 degrees. We need to calculate the measure of angle A (denoted as ∠A).

Since AB = AC, we know that angles A and C are congruent (denoted as ∠A ≅ ∠C). In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent.

Therefore, we have:

∠A ≅ ∠C

Also, the sum of the angles in a triangle is always 180 degrees. Hence, we can write:

∠A + ∠B + ∠C = 180

Substituting the given values:

∠A + 55 + ∠A = 180

Combining like terms:

2∠A + 55 = 180

Subtracting 55 from both sides:

2∠A = 180 - 55

2∠A = 125

Dividing by 2:

∠A = 125 / 2

∠A = 62.5

Therefore, the measure of angle A in the isosceles triangle ABC is 62.5 degrees.

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Answer:

true

Step-by-step explanation:

horizontal transformation 1 unit left.

vertical translation 2 units down.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

f(x) = \(4^{x}\)

g(x) = \(4^{x+1} -2\)

As, we can see that g(x) is shifted left side by 1 unit

So, horizontal transformation 1 unit left.

Now, as 2 is subtracted

So, vertical translation 2 units down.

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Answer: 7 Pack

Step-by-step explanation: Divide each price by the number of shirts :)

The ramp will upward push to a top of about 18.8 inches at its maximum end.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given, The ramp has a length of 34 inches, The angle of elevation from the ground is 20 degrees.

We can use trigonometry to solve this problem.

The height of the ramp can be found using the following formula:

Height = Length x sin(θ)

where,

"Length" is the length of the ramp

"θ" is the angle of elevation in radians.

To convert the angle of elevation from degrees to radians,

angle in radians = (angle in degrees) x (pi/180)

Substituting the values we have, we get:

angle in radians = 20 x (pi/180) = 0.349 radians

Then, we can calculate the height of the ramp using the formula:

Height = 34 x sin(0.349)

= 18.8 inches (rounded to the nearest tenth)

Therefore, the ramp will rise to a height of approximately 18.8 inches at its highest end.

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The point that is one-fifth of the way from -9 to 17 on the number line is -3.8. (option a).

To find the point that is one-fifth of the way from -9 to 17 on the number line, we need to determine the distance between -9 and 17 and then divide it by 5.

First, let's calculate the distance between -9 and 17 on the number line. We do this by subtracting the smaller value (-9) from the larger value (17):

Distance = 17 - (-9)

= 17 + 9

= 26

So, the distance between -9 and 17 on the number line is 26 units.

Now, we need to find one-fifth of this distance. To do that, we divide the distance by 5:

One-fifth of the distance = 26 / 5

= 5.2

Therefore, one-fifth of the way from -9 to 17 is located at a point that is 5.2 units away from -9.

To determine the exact location on the number line, we add this distance to -9:

Location = -9 + 5.2

= -3.8

Therefore, the correct answer is option a. -3.8.

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Answer:

4.5, 4, 3.5, 3, 2.5, 2

Step-by-step explanation:

The table of values for x + 2 y = 7 is 4.5, 4, 3.5, 3, 2.5, 2 .

A table of values is a graphic organizer or chart that helps you determine two or more points that can be used to create your graph. Here is an example of a table of values for the equation, y= 2x + 1.

A table of values is a set of ordered pairs usually resulting from substituting numbers into an equation (relation). The equation determines the relationship between each pair of numbers in each ordered pair in the table of values.

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3/7  is the probability that martin is served a main course.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                            In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

A = Served with main course

n(A) = 6

S = sample space total no of different courses

n(S) = 6 + 3 + 5 = 14

P(A) = n(A)/n(S)  = 6/14 = 3/7

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Answer: 50 minutes

Step-by-step explanation: a quarter to 5 is always 15 minutes from 5, 4:45. So 5:35-4:45 is 50.

The expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

The cube box has a side length of 9.

So, the volume of the box is:

V = 9³

The sphere has a radius of 4.5.

So, the volume of the sphere is:

v = 4/3π(4.5)³

Calculate the difference between both volumes:

d = 9³ - 4/3π(4.5)³

Hence, the expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

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Answer: that is answer d

Step-by-step explanation:

2023 edge

A sampling plan states that if 20 incoming transistors are checked and 2 or less defects are found, the lot is accepted. The probability of accepting the lot of transistors is 0.68

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

Assuming a binomial probability distribution, the formula for binomial distribution is expressed as

\(P(x = r) = nC_r \times q^{n - r} p^r\)

Where

n = number of samples

p = probability that an event will happen.

q = probability that an event will not happen.

From the information given,

n = 20

If an incoming lot is 10 percent defective, it means that

p = 10/100 = 0.1

q = 1 - p = 1 - 0.1 = 0.9

The probability of rejecting the lot would be

P(x lesser than or equal to 2)

P(x = 0) + P(x = 1) + P(x =2)

\(P(x = 0) = 20C_0 \times 0.9^(20 - 0) \times 0.1^0 = 0.12\\(x = 1) = 20C_1 \times 0.9^(20 - 1) \times 0.1^1 \\= 0.12 = 0.27\\(x = 2) = 20C_2 \times 0.9^(20 - 2) \times 0.1^2 \\= 0.12 = 0.29\)

P(x lesser than or equal to 2) = 0.12 + 0.27 + 0.29 = 0.68

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If angle A is 80° and the other angle is 100° because they form a straight line.

When two angles are formed on a straight line, they are known as "supplementary angles."

The sum of the measures of supplementary angles is always 180 degrees.

In this case, Angle A is given as 80 degrees.

Since Angle A and Angle B are supplementary, we can subtract the measure of Angle A from 180 degrees to find the measure of Angle B.

So, Angle B = 180 degrees - 80 degrees

= 100 degrees.

Therefore, Angle B is 100 degrees.

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One angle, Angle A = 80° find the other angle, Angle B

Hint: They are formed on a line.​

Answer:

C -2 2

Step-by-step explanation:

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are congruent.

Answer:

graph the equations and locate the intersection.

(  2 ,  3  )

Step-by-step explanation:

hope this helps!

Answer:

(x,y)=(2,3)

Step-by-step explanation:

\(\left \{ {{y=-2+5} \atop {y=x+1}} \right.\)

calculate the sum

\(\left \{ {{y=3} \atop {y=x+1}} \right.\)

since both expressions 3 and x+1 are equal to y, set them equal to each other forming an equation in x

3=x+1

solve the equation for X

x=2

The possible solution of the system is the ordered pair (x,y)

(x,y)=(2,3)

Check if the given ordered pair is the solution of the system of equations

\(\left \{ {{3=-2+5} \atop {3=2+1}} \right.\)

simplify the equalities

\(\left \{ {{3=3} \atop {3=3}} \right.\)

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(2.3)

The Transitive property states that;

if a=b and b=c then a=c.

and c by b.

if a = -3 and -3 = b, then a = b.

So, the property illustrated is similar to the Transitive property

Therefore, the property illustrated is the Transitive property.So, if you replace b with -3 we have;

f

Answer:

12 hours

Step-by-step explanation:

each worker digs a hole and takes 4 hours doing so

2 workers dig 3 holes each, 3*4=12, 12 hours

Answer:

12 hours

Step-by-step explanation:

4 workers can dig 4 holes in hours=4

1   worker    ,,     ,,   4    ,,      ,,    ,,     =4×4=16

1      ,,           ,,     ,,    1   hole ,,    ,,     =16÷4=4

2     ,,           ,,     ,,    1     ,,     ,,    ,,    =4÷2=2

2     ,,           ,,     ,,    6 holes ,,    ,,    =2×6=12

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

Option C

Step-by-step explanation:

I am going to assume that one doesn't know what an inconsistent or consistent system of equations is, let alone what a dependent and independent system of equation is. Well an inconsistent system is one that have no solutions, while a consistent system of equations has solutions. A consistent dependent system has infinite solutions, while a consistent independent system has 1 solution.

_______________________________________________________

This system of equations has one solution, as the slopes are not the same nor a multiple of one another ( no solution ) , and the equations are not the same either, nor a multiple of one another ( infinite solutions ). Thus, the system of equations is consistent, independent - Option C

I hope that clarified any questions that you had, as the answer was not Option D!

i. Take-off the quantities of concrete (Grade 25), formwork and reinforcement according to Standard Method of Measurement, Second Edition (SMM 2):Here is the take-off the quantities of concrete (Grade 25), formwork, and reinforcement according to Standard Method of Measurement,

Second Edition (SMM 2):For formwork, the quantity of timber and plywood would be counted as follows:

Timber used in formwork = 56 m x 0.05 m x 0.025 m x 2

Timber used in formwork= 0.07 m3

Plywood used in formwork = 56 m x 0.05 m x 0.012 m x 2

Plywood used in formwork= 0.04m3

Total quantity of formwork required = 0.07 m3 + 0.04 m3 = 0.11 m3

For reinforcement, the length of the bars required for the pad footings would be calculated as follows:

Number of bars required = Length of pad footing / spacing of bars + 1

Number of bars required= 0.6 / 0.15 + 1

Number of bars required= 5

Total length of bars = 5 x 0.6 = 3.0 m

Total weight of bars = Total length of bars x unit weight of bars = 3.0 x 7.87 = 23.61 kg

For concrete, the quantity of concrete required for the pad footings would be calculated as follows:

Volume of pad footing = length x breadth x height = 0.6 x 0.6 x 0.2 = 0.072 m3

Total quantity of concrete required = 0.072 m3 x 1.1 = 0.0792 m3

ii. Organize reinforcement:To organize reinforcement, the reinforcement bars required for the pad footings would be arranged in the following way: Two bars would be arranged in the X direction, and two bars would be arranged in the Y direction. The remaining bar would be provided as a spacer between the other bars.The bars would be bent at a length of 24d = 24 x 12mm = 288mm.

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The number which would correspond to the position of the word; $BAB$ is; $2×1×2$ = 4.

As evident in the task content, by observation, if follows that since; $AAA$ is Word $1 and $CCC$ is Word $27$.

Then, it can be inferred that A = 1 , B = 2 and C = 3.

On this note, the number which would correspond to the position of the word; $BAB$ is; $2×1×2$ = 4.

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c because the center of dilation is the multiplicatory value of the original point

a) The antiderivative of St - 61º-2 dt is \(-1/2(t^-1) - 61 (t^-2) + C\).

b) The antiderivative of 12 + 2√u du = \(12u + (4/3)u^(3/2) + C.\)

c) The antiderivative of 7/1/3 dx is \(-21/x^(1/3) + C\).

a) Antiderivative of St - 61º-2 dt is \(∫(St - 61º-2)dt.\)

Using the Power Rule of Antiderivatives, we can rewrite the given expression as follows;∫(St - 61º-2)dt = S (t^(1-2))/(1-2) - 61 (t^-2) + C= -1/2(t^-1) - 61 (t^-2) + CThus, the antiderivative of St - 61º-2 dt is -1/2(t^-1) - 61 (t^-2) + C.b) Antiderivative of 12 + 2√u du is ∫(12 + 2√u)du = 12 ∫du + 2 ∫√udu.Using the power rule of integration,∫du = u + C∫√udu = (2/3)u^(3/2) + CTherefore, the antiderivative of 12 + 2√u du = 12u + (4/3)u^(3/2) + C.c) Antiderivative of 7/1/3 dx = ∫(7x^(-4/3))dx.Using the Power Rule of Antiderivatives, we can rewrite the given expression as follows;∫(7x^(-4/3))dx = 7 (-3x^(-1/3)) + C= -21/x^(1/3) + CTherefore, the antiderivative of 7/1/3 dx is -21/x^(1/3) + C.

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Answer:

b = 23

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -5x + b

G(4, 3)

Step 2: Find y-intercept b

Step 3: Write linear equation

y = -5x + 23

Answer:

The answer is y=-5x+21.5 --- B=21.5

Step-by-step explanation:

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The inequality represents a number no more than 5 is n < 5.

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

We have to find which inequality represents a number no more than 5.

Consider, the first inequality n ≤ 5.

This inequality contain 5 and less numbers.

Consider the second inequality n ≥ 25

This inequality contain numbers 5 and more

For n > 5  

This inequality contain numbers more than 5.

For n < 5

This inequality does not contain number more than 5.

Hence, the inequality represents a number no more than 5 is n < 5.

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Answer:

27 feet.

Step-by-step explanation:

This is quite simple. As a square has equal lenght and width we can tell that 6x6=36. So each side has a lenght of 6 feet.  With only 3 sides needed for fencing, 6x3=27. Mrs. Roberts needs 27 feet of fencing.

Answer: 20897920

Step-by-step explanation:

10 x 10 x86 x 27 x 90 + -80=

100 x86 x 2430 - 80=

8600 x 2430 - 80=

20898000-80=20897920

Answer: 20897920

Step-by-step explanation:

Answer:

-3 = -3x

9x^2 = 9

4x = 4x^2