Mattress Length: 6.25 in Length: ft​

Equation- 8x(12+7-9)-(4+10)

Answer- 80x−14

Answer:

  C.  (1, 3)

Step-by-step explanation:

The x-coordinate of a point is the measure of the horizontal distance a point is to the right of the y-axis. When the point is translated 4 units to the left, its x-coordinate is reduced by 4: x ⇒ x-4.

The y-coordinate of a point is the measure of the vertical distance a point is above the x-axis. When the point is translated 2 units up, its y-coordinate is increased by 2: y ⇒ y+2.

__

The translation 4 units left and 2 units up can be summarized by ...

  (x, y) ⇒ (x -4, y +2)

Then the translated vertices are ...

  Q(1, 3) ⇒ Q'(1 -4, 3 +2) = Q'(-3, 5)

  R(5, 1) ⇒ R'(5 -4, 1 +2) = R'(1, 3) . . . . . . . matches choice C

  S(3, 5) ⇒ S'(3 -4, 5 +2) = S'(-1, 7)

Of the points listed, the point (1, 3) matches a translated vertex.

Standard form ax²+bx+c=0

Done

Answer:

Show that if [tex]f(a) = f(b) = 0[/tex] for some [tex]a,\, b \in [-2,\, 2][/tex] where [tex]a \ne b[/tex], then by Rolle's Theorem [tex]f^{\prime}(x) = 0[/tex] for some [tex]x \in (-2,\, 2)[/tex]. However, no such [tex]x[/tex] exists since [tex]f^{\prime}(x) < 0[/tex] for all [tex]x \in (-2,\, 2)\![/tex].

Note that Rolle's Theorem alone does not give the exact value of the root. Neither does this theorem guarantee that a root exists in this interval.

Step-by-step explanation:

The function [tex]f(x) = x^{3} - 12\, x + 11[/tex] is continuous and differentiable over [tex][-2,\, 2][/tex]. By Rolle's Theorem. if [tex]f(a) = f(b)[/tex] for some [tex]a,\, b \in [2,\, -2][/tex] where [tex]a \ne b[/tex], then there would exist [tex]x \in (a,\, b)[/tex] such that [tex]f^{\prime}(x) = 0[/tex].

Assume by contradiction [tex]f(x)[/tex] does have more than one roots over [tex][-2,\, 2][/tex]. Let [tex]a[/tex] and [tex]b[/tex] be (two of the) roots, such that [tex]a \ne b[/tex]. Notice that [tex]f(a) = 0 = f(b)[/tex] just as Rolle's Theorem requires. Thus- by Rolle's Theorem- there would exist [tex]x \in (a,\, b)[/tex] such that [tex]f^{\prime}(x) = 0[/tex].

However, no such [tex]x \in (a,\, b)[/tex] could exist. Notice that [tex]f^{\prime}(x) = 3\, x^{2} - 12[/tex], which is a parabola opening upwards. The only zeros of [tex]f^{\prime}(x)[/tex] are [tex]x = (-2)[/tex] and [tex]x = 2[/tex].

However, neither [tex]x = (-2)[/tex] nor [tex]x = 2[/tex] are included in the open interval [tex](-2,\, 2)[/tex]. Additionally, [tex]a,\, b \in [-2,\, 2][/tex], meaning that [tex](a,\, b)[/tex] is a subset of the open interval [tex](-2,\, 2)[/tex]. Thus, neither zero would be in the subset [tex](a,\, b)[/tex]. In other words, there is no [tex]x \in (a,\, b)[/tex] such that [tex]f^{\prime}(x) = 0[/tex]. Contradiction.

Hence, [tex]f(x) = x^{3} - 12\, x + 11[/tex] has at most one root over the interval [tex][-2,\, 2][/tex].

The exponential growth rate of the baseball card given its price in 1975 and 1988 is 4.07%.

The exponential growth rate is the rate of increase in the value of an asset with the passage of time.

Exponential equations have the form a[tex]b^{x}[/tex]

Growth rate = (future value / present value)^(1 / number of years)

(405 / 241)^(1/13) = 4.07%

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Answer: D

Step-by-step explanation:

This is the only option that is a line.

Given a function in a table or in algebraic or graphical form, identify key features such as x- and y-intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; and end behavior. Use key features of an algebraic function to graph the function.

The area of the 9th floor is 718.48 m² if the ground floor(floor 0) is the largest and the floor space is reduced by 5% per floor.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent :

[tex]\rm y = a^x[/tex]

where a is a constant and a>1

We know we can find the exponential decrease by the below formula:

[tex]\rm y = a(1-r)^n[/tex]

We have a = 1140 m²

r = 5% = 0.05

n = 9

[tex]\rm y = 1140(1-0.05)^9[/tex]

y = 718.48 m²

Thus, the area of the 9th floor is 718.48 m² if the ground floor(floor 0) is the largest and the floor space is reduced by 5% per floor.

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Answer:

1/8 of males as females are 7 times of males are x then females are 7x so the fraction of males x will be 1/8

Step-by-step explanation:

Answer:

c=5.50b

Step-by-step explanation:

Answer:

5.50 x b = c or 5.50b = c

Step-by-step explanation:

5.50 is the base amount, with B amount of necklaces.
Also please refrain from cheating on the CAT test.. especially in 6th grade.

Answer:

25 houses in 5 weeks

Step-by-step explanation:

15 house / 3 week    *   5 week = 25 houses

Answer:

2

Step-by-step explanation:

Hey there!

In order to find the mode, you need to find the number thatis plotted the most

As you can see on the line plot, the number 2 has been plotted more than the other numbers

Meaning, that 2 is the mode

Answer:

2

Step-by-step explanation:

:)

Answer: 10

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so the sum of the lengths of each pair of adjacent sides must be 5. Thus, the perimeter is 5(2)=10.

Answer:

what?

Step-by-step explanation:

Answer:

please reformat the question to be readable !

Step-by-step explanation:

The answer is:

$30,000/year with a 10% bonus

z + 38° = 180°

(L.P)

z = 142°

y = 32° (alternative angle of angle FCA)

x = 142° (alternative angle of angle z)

x + 65 = 180

(l.p)

x = 180 - 65

x = 115°

y = x (alternative angle of x)

y = 115°

z = y (V.O.A)

z = 115°

~Tulpe⚘

Answer:

Step-by-step explanation:

2)  Linear pair: Two angles are called linear when they are adjacent angles and the non common arms form a straight line. They add uo to 180

 z + 32 = 180     {linear pair}

         z = 180 - 32

When parellel lines are cut by a transversal alternate interior angles are equal.

          y = 32°        {Alternate interior angles}

           x = z           {Alternate interior anlges}

           x = 148°

3) x +65 = 180  {linear pair}

          x = 180 - 65

     y = x          {Alternate interior angles}

z = y      {Verically opposite angles}

z = 115°

Answer:

Circle

Step-by-step explanation:

because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1

ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1

parabola is y= a (x-h) 2+ k

that's why circle is the answer

Answer:

63

Step-by-step explanation:

(1/2) · b · h

(1/2) *  14 * 9 = 63

Answer: 63 in²

Step-by-step explanation:

      The problem gives us the formula to use. We will simplify plug in the correct values and solve.

b = base

h = height

[tex]\displaystyle \frac{b*h}{2}[/tex]

[tex]\displaystyle \frac{14*9}{2}[/tex]

[tex]\displaystyle \frac{126}{2}[/tex]

63

       63 square inches

Answer:

Step-by-step explanation:

   r = 3 cm

Volume = 27π cm³

                       [tex]\sf \boxed{\text{Volume of cylinder=$\pi r^2h$}}[/tex]

[tex]\sf \pi*3*3*h = 27 \pi\\[/tex]

              [tex]h = \dfrac{27 \pi}{\pi * 3 * 3}\\\\ \boxed{\bf h = 3 \ cm}[/tex]

      [tex]\sf \r_A : r_B = 3 : 9[/tex][tex]\sf r_A : r_B = 3 : 9[/tex]

                 = 1 : 3

      [tex]\sf h_A : h_B = 1 : 3\\[/tex]

            [tex]\sf \dfrac{3}{h_B}=\dfrac{1}{3}\\\\ cross \ multiply,\\\\ 3*3 = 1*h_B\\\\ h_B = 9 \ cm[/tex]

Volume of cylinder B = π * 9 * 9 * 9

                                    = 729π cm³

       [tex]\sf V_A : V_B = 27 \pi :729 \pi[/tex]

                    = 1 : 27

The probability that the news and weather report Is NOT on will be 0.8. Then the correct option is J.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A radio station reports news and weather, every 20 minutes for 4 minutes.

If the radio is turned on at a random time.

Then the probability that the news and weather report Is NOT on will be

P = 1 - 4/20

P = 1 - 0.20

P = 0.8

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The dimensions of the rectangular prisms are the side lengths of the rectangular prism

A rectangular prism has the following dimensions

Length, width and height

This means that the dimensions of the rectangular prisms are the length, width and height  of the prism

To determine the dimension, we simply take the value of the above terms i.e. length, width and height

To split the rectangular prism, we simply consider the faces of the rectangular prism.

A rectangular prism has 6 faces

Hence, there are 6 shapes when the rectangular prism is split

Note that the question is incomplete, so I gave a general explanation

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Answer:

50%

Step-by-step explanation:

When you toss a coin it will either land on tails or heads, so we have 2 possibilities who have the same chance of happening. Thus the probability that the coin lands on heads is 50% (same for tails).

Answer:

0.5

Step-by-step explanation:

Because probability is always between 0 and 1

Answer:

1: 81 is the overall angle, so to find the 2nd angle that makes up the overall angle, just subtract the 1st angle from the overall angle. it would be 81 - 44 = 37. so your answer is 37°.

2: this one is solved the same as number 1, just different numbers. it would be 98 - 59 = 39. your answer is 39°.

3. we know this is angle is a right angle because of the square indicating it. a right angle is 90°, so we would take 90 - 63 = 27. so your answer is 27°.

The area of the equilateral triangle with the given perimeter is 24.2cm².

Hence, option D)24.2cm² is the correct answer.

This question is incomplete, the complete question is:

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm. What is the area of the equilateral triangle, rounded to the nearest tenth?

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

An equilateral triangle is a triangle with all its three sides having the same length

The area of an equilateral triangle is expressed as;

A = ((√3)/4)a²

Where a is the length of the side

Perimeter of an equilateral triangle is expressed as;

P = 3a

Where a is the length of the side

Given that the perimeter of the equilateral triangle is 22.45 cm, the sides of the triangle will be;

P = 3a

22.45cm = 3a

a = 22.45cm / 3

a = 7.48cm

Now, the area of the equilateral triangle will be;

A = ((√3)/4)a²

A = ((√3)/4) × (7.48cm)²

A = 0.433 × 55.9504cm²

A = 24.2cm²

The area of the equilateral triangle with the given perimeter is 24.2cm².

Hence, option D)24.2cm² is the correct answer.

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Answer:

Area=153.75 divdided by 2 = 76.88

permitere= 8 + 10.25+18.8=37.05

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The probability that the woman shared the same profession is 0.334.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of both being a waiter is,

P(Both Waiter) = (3/9)×(4/12) = 1/9

The probability of both being chefs,

P(Both Chef) = (2/9)×(4/12) = 2/27

The probability of both being a Dishwashers,

P(Both Dishwasher) = (4/9)×(4/12) = 4/27

Thus, the probability that the woman shared the same profession is,

Probability = P(Both Waiter) + P(Both Chef) + P(Both Dishwasher) = 0.33

Hence, the probability that the woman shared the same profession is 0.334.

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Answer:

Step-by-step explanation:

W can = 0, -1, -2, -3, and -4.

Answer:

W = 0, -1, -2, -3, -4

Step-by-step explanation:

W can not be 1 because it says 1 is greater than w

W can not be -5 because it says -5 is less than w

W can be 0, -1, -2, -3, and -4 because they fit what your question is.

Hope this helps!

The time used for the first part of the trip in minutes is 270 minutes.

Total distance travelled = 675 km

He travelled from 1pm to 9pm.

He rested for 1 hour 30 minutes. The total time used for the trip is 6 hours 30 minutes.

let

the time used for the first part of the trip = x

Therefore,

speed = distance / time

distance = 110x

the time used for the first part of the trip = 6.5 - x

distance = 90(6.5 - x)

distance = 585 - 90x

Hence,

110x + 585 - 90x = 675

20x + 585 = 675

20x = 675 - 585

20x = 90

x  = 90 / 20

x = 4.5 hours = 270 minutes

Therefore, the time used for the first part of the trip is 270 minutes.

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A force of 4.05×10⁶ N was exerted on one side of the wall.

Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction.

The following data were obtained from the question:

Breadth (B) = 4 m

Length (L) = 10 m

Standard pressure (P) = 101325 Nm¯²

Next, we shall determine the area of the wall. This can be obtained as follow:

Area (A) = length (L) × breadth (B)

A = 10 × 4

A = 40 m²

Finally, we shall determine the force exerted on one side of the wall as follow:

Standard pressure (P) = 101325 Nm¯²

Area (A) = 40 m²

Pressure (P) = Force (F) /Area (A)

101325 = F/40

F = 101325 × 40

F = 4.05×10⁶ N.

Therefore, a force of 4.05×10⁶ N was exerted on one side of the wall.

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