(01.01 LC)
Evaluate the expression
5/7 - 4)2 + 3 + 11.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex](\frac{5}{7}-4)2+3+11=(\frac{5}{7}-\frac{4*7}{7})2+3+11\\\\=(\frac{5}{7}-\frac{28}{7})2+3+11\\\\=(\frac{-23}{7})2+3+11\\\\=\frac{-46}{7}+3+11\\\\=\frac{-46}{7}+14\\\\=\frac{-46}{7}+\frac{14*7}{1*7}\\\\=\frac{-46}{7}+\frac{98}{7}\\\\=\frac{-46+98}{7}\\\\=\frac{52}{7}\\\\=7\frac{3}{7}[/tex]


Related Questions

How many one-half cubes with dimensions of 1\2x1x1 fit in a unit cube?
0 1
O 2​

Answers

Answer:

2 half cubes

Step-by-step explanation:

this has only half the width, you just need 1 more to make a whole, therefore 2

Mrs. Dombrowsky bought 27 books for the
class. What was the cost for one book if she
spent a total of $67.50?

Answers

Answer:

$2.50

Step-by-step explanation:

67.50/27 = 2.50

Answer:

$2.50

67.50/27 = 2.50

Step-by-step explanation:

algebra applications ​

Answers

Answer:

X=55°

Y=30°

Step-by-step explanation:

2y=x+5

Y=1/2x+2.5

3y+30=4x-100

3(0.5x+2.5)+30=4x-100

1.5x+7.5+30=4x-100

4x-1.5x=137.5

2.5x=137.5

X=55°

Y=30°

Answer:

[tex]x = 55\\y = 30\\[/tex]

Step-by-step explanation:

Finding x:

4x - 100 + x + 5 = 180 (Angles on a straight line)

5x - 95 = 180

5x = 180 + 95

5x = 275

Dividing both sides by 5

x = 55

Finding y:

2y + 3y +30 = 180 (Angles on a straight line)

5y = 180-30

5y = 150

Dividing both sides by 5

y = 30

In the figure, PA and PB are tangent to circle O and PD bisects angle BPA. the figure is not drawn to scale

Answers

Answer:

C (46)

Step-by-step explanation:

Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't).  OA and OB are both radius of circle O, making them congruent because all radii are congruent.  Also PO is congruent to PO by reflexive.  

Angle AOC is the same thing is Angle AOP.  Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent).  Therefore, Angle POB is 46 degrees.

In the image below, m2OMN = (2x+9) and m2 LMN = (6x-7) and m2 OML = 66.
Find m ZOMN and m LMN

Answers

Answer:

m<OMN = 25

m<LMN = 41

Step-by-step explanation:

m<OMN = 2x + 9

m<LMN = 6x - 7

m<OML = 66

m<OMN + m<LMN = m<OML

2x + 9 + 6x - 7 = 66

8x + 2 = 66

8x = 64

x = 8

m<OMN = 2x + 9 = 2(8) + 9 = 16 + 9 = 25

m<LMN = 6x - 7 = 6(8) - 7 = 48 - 7 = 41

Answer:

m<OMN = 25

m<LMN = 41

A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 14.6 feet and diagonal BD equal to 12.1 feet What is the area of the farm? 48.4 square feet 53.4 square feet 88.33 square feet 117.76 square feet

Answers

Answer:

88.33.. ft²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] product of diagonals , thus

A = 0.5 × 14.6 × 12.1 ≈ 88.33 ft²

Answer:

We could try another method to check, where we highlight each right angle as each is congruent from centre point.

1/2 7.3 base = 3.65 x 6.05 = 22.0825 x 4 = 88.33unit^2

Step-by-step explanation:


Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t

Answers

Answer:

Either

x = 4+3i /5   or     x = 4-3i /5

Step-by-step explanation:

To solve the quadratic equation using the quadratic formula, we will follow the steps below;

write down the quadratic formula;

x = -b±√b² - 4ac   /2a

First lets compare the equation 5x² - 8x + 5 = 0  to the standard quadratic equation  ax² + bx + c

a = 5  b = -8  and c= 5

we can now proceed to substitute the above value into the quadratic formula and then solve. That is;

x = -b±√b² - 4ac   /2a

   = -(-8)±√(-8)² - 4(5)(5)   /2(5)

    = 8 ±√64-100 /10

   =8 ±√-36  /10

    = 8 ±√36 . √-1    /10                           note that √-1 = i

      =8±6i   /10

       =[tex]\frac{8}{10}[/tex]  ± [tex]\frac{6 i}{10}[/tex]

         =[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]

         

Either

x = 4+3i /5   or     x = 4-3i /5

Answer:

answer in picture

Step-by-step explanation:

Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2

Answers

Answer:

B

Step-by-step explanation:

[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]

You can confirm this by working in reverse:

[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]

Hope this helps!

Answer:

(x−4)^2

Step-by-step explanation:

I did the test

What is m∠D? Enter your answer in the box.

Answers

Answer:

D = 32

Step-by-step explanation:

A+ B + E = 180 since they form a triangle

14+ 45 + E = 180

E = 180 -14-45

E =121

E on either triangle is the same since they are vertical angles

C+D+E = 180 since they form a triangle

27+ D + 121 = 180

D = 180-121-27

D =32

What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft

Answers

Answer:

12

Step-by-step explanation:

What value of b will cause the system to have an infinite
number of solutions?
y = 6x-b
3x+1/2y=-3
-3x + 2 y = -3
b =
O 2
X
04
6
8

Answers

Answer:

6

Step-by-step explanation:

Given the system of equations:

y = 6x-b  (eq. 1)

-3x+1/2y = -3 (eq. 2)

We can rewrite eq. 1 as follows:

-6x + y = -b

Dividing by 2:

(-6x + y)/2 = -b/2

-6x/2 + y/2 = -b/2

-3x + 1/2y = -b/2

The system of equations will have infinite number of solutions if both equations are equal. Therefore:

-b/2 = -3

b= -3*(-2)

b = 6

Triangle JKL has vertex coordinates J(0,-3), K(-1,0), and L(-2,-1). It is reflected across the line y = x. What are the coordinates of J’K’L?

A. J’(0,-3), K’(1,0), L’(2,-1)
B. J’(-3,0), K’(0,-1), L’(-1,-2)
C. J’(3,0), K’(0,1), L’(1,-2)
D. J’(0,3), K’(-1,0), L’(-2,1)

Answers

Answer:

B

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ), thus

J(0, - 3 ) → J'(- 3, 0 )

K(- 1, 0 ) → K'(0, - 1 )

L(- 2, - 1 ) → L'(- 1, - 2 )

Answer:

yee its B

Step-by-step explanation:

Mention a few number systems and explain in brief​

Answers

Answer:

Step-by-step explanation:

The  system is common use is the decimal system which is based on 10;

So for example the number 45 :

45 = 4 * 10^1 + 5 * 10^0  and

132 = 1*10^2 + 3*10^1 + 2*10^0.

The single  digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .

Then we have 10, 11 and so on

Then there is the binary system which is based on 2 digits

In this system there are only 2 digits 0 and 1, so

10 binary = 1*2^1 + 0*2*0  which is equivalent to 2 in the decimal system.

111 binary = 1*2^2 + 1*2^1+ 1*2*0  = 4 + 2 + 1 = 7 decimal

Another system is the octal system, based on 8.

The digits are 0,1,2,3,4,5,6,7

So 10 octal = 8 + 0 = 8 decimal

and  17 octal = 1*8^1 + 7* 8^0  =   8 + 7 = 15 decimal.

PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?

Answers

Answer:

2

Step-by-step explanation:

sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16

sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8

thus 16/8 is 2

Factor completely 3x2 − 11x + 8
A. (x + 4)(3x - 2)
B. (x − 2)(3x − 4)
C. (x + 1)(3x − 8)
D. (x − 1)(3x − 8)

Answers

Answer:

The Answer is D. (x - 1) (3x - 8)

Step-by-step explanation:

So, we start with [tex]3x^2 - 11x +8[/tex].

First step is to break the expression into groups, by doing this, you get:

[tex]\left(3x^2-3x\right)+\left(-8x+8\right)[/tex]

Next, factor out the 3x from  [tex]\left(3x^2-3x\right)[/tex]. By doing this, you should get:

3x(x - 1)

Then, factor out the 8x from  [tex]\left(-8x+8\right)[/tex]. By doing this, you will get:

-8(x - 1)

Last, factor out the common term, x - 1, When you do this, you get:

(x - 1) (3x - 8)

Hope this helps!

Answer:

D.(x − 1)(3x − 8)

Step-by-step explanation:

What is the measure of arc AB? A) 60° B) 75° C) 125° D) 150°

Answers

Answer:

150

Step-by-step explanation:

The arc would be the same as the angle that is in it's center because this is a circle.

The measure of arc AB is equal to the 150 degree, as central angle is equal to the intercepted arc. Option D is the correct option.

What is the central angle of the arc?

The central angle is the angle which is subtended by the arc of the circle at the center point of that circle. The formula which is used to calculate the central angle of the arc is given below.

[tex]\theta=\dfrac{s}{r}[/tex]

Here, (r) is the radius of the circle, (θ) is the central angle and (s) is the arc length.

In the given circle, suppose the center of it is O. The central angle AOB given as,

[tex]\angle AOB=150^o[/tex]

The central angle is equal to the intercepted arc of the angle. Thus,

[tex]\text {arc } AB=\angle AOB\\\text {arc } AB=150^o[/tex]

Thus, the measure of arc AB is equal to the 150 degree as central angle is equal to the intercepted arc. Option D is the correct option.

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So this isn’t a test I just want to make sure I’m writing this correctly.

I have written 2x-18=-2y+12
Then I added 18 is that correct so far.

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]2x-18=-2y+12[/tex]

[tex]y=12[/tex]

[tex]2x-18=-2(12)+12[/tex]

[tex]2x-18=-24+12[/tex]

[tex]2x-18=-12[/tex]

[tex]2x-18+18=-12+18[/tex]

[tex]2x=6[/tex]

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

=> 2x-18 = -2y+12

Given that y = 12

Putting in the above equation to get the value of x

=> 2x-18 = -2(12)+12

=> 2x-18 = -24+12

=> 2x-18 = -12

Adding 18 to both sides

=> 2x = -12+18

=> 2x = 6

Dividing both sides by 2

=> x = 3

The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.

Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.

Answers

Answer:

18% , 27 Hours

Step-by-step explanation:

On edge 2020

The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,

⇒ [tex]y = 100 (0.5)^{x/4}[/tex]

Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.

Therefore, the value can be written as,

⇒ [tex]y = 100 (0.5)^{x/4}[/tex]

Put x = 10;

⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]

⇒ y = 17.677

⇒ y = 17.7

Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.

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Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11

Answers

Answer:

y=3/2x+11/2

Step-by-step explanation:

divide the whole thing by 2

2y=3x+11 divided by 2 equals

y-3/2x+11/2

then just plug in the 3 points

Y-3/2 time +11/2 that the answer

The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that can move the blue figure onto the red figure. Ursa correctly identifies a single transformation that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.

Answers

Answer:

Step-by-step explanation:

Malcolm's transformation:

First, the blue image is reflected about the line y=-5

Then it is rotated 180 degrees around the point (0,-5)

(you can have other options this is just one example)

Ursa's transformation:

The blue image is reflected about the y axis

(you can have other options this is just one example)

First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

First the blue image is translated

Then it is rotated 180° to get the red figure with coordinates (-x, -y)

Two transformation that is equivalent to a reflection

Hence, the two transformations are;

First the blue image with coordinates (x, -y) is translated to get (-x, -y)

Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.

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which of the following circles lie completely within the fourth quadrant? Check all that apply.

Answers

Answer:

B and D

Step-by-step explanation

Answer:

B and D

Step-by-step explanation:

Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).

Answers

Answer:

[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]

Step-by-step explanation:

The translation [tex]T_{(3,-1)}[/tex] shows that we need to add three units to the x-cordinates and -1 units to y-coordinates, as follows

[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]

Therefore, the image of the coordinates are

[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]

Please someone help me, i need thier solve please my teacher told me to solve them ​

Answers

Answer:

A. Domain : (-∞, ∞)

B. Function is increasing in the interval (-2, 0) and (2, ∞)

   Decreasing in the interval of (-∞, -2) and (0, 2).

Step-by-step explanation:

A. Given function is, y = |2x - 1|

This function is the transformed form of the parent function, y = |x|

Domain of the parent function is { x | x is a set of real numbers}

Therefore, domain of the transformed function will be the same as the domain of the parent function.

Domain of the function = {x | x is a real number}

B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]

Domain of the function : (-∞, ∞)

Critical points of the function are,

⇒ x = 0, ±2

Now we find the three intervals where we have to check the function to be increasing or decreasing.

(-∞ -2), (-2, 0), (0, 2), (2, ∞)

Derivative of the function f(x),

f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]

Here, f'(x) < 0 for (-∞, -2)

f'(x) > 0 for (-2, 0)

f'(x) < 0 for (0, 2)

f'(x) > 0 for (2, ∞)

Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)

And it's decreasing in the interval of (-∞, -2), and (0, 2).

If it doesnt work please just tell me :)

Answers

Answer:

33units^2 is the answer

Step-by-step explanation:


Question:

Consider the rectangle shown here.

A. State its area in square inches.

B. State its area in square feet, to the nearest tenth.

C. In general, A square inches equals how many square feet?

Answers

Answer:

A. Area in square inches =  1760 square inches

B. Area in square feet = 12.2 square feet

C. 1 square inch = [tex]\frac{1}{144}[/tex] feet

Step-by-step explanation:

Given,

Length of the rectangle (l) = 55 inches

Breath of the rectangle (b) = 32 inches

A. Area of the rectangle = length × breath

⇒ 55 × 32

⇒ 1760 square inches

Area in square inches =  1760 square inches

B. 1 foot = 12 inches

1 inch = [tex]\frac{1}{12}[/tex] feet

1 square inch = [tex]\frac{1}{144}[/tex] feet

∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet

⇒ 12.2222 square feet

Area in square feet = 12.2 square feet

C. 1 square inch = [tex]\frac{1}{144}[/tex] feet

Can someone help me ???????

Answers

Answer:

Step-by-step explanation:

15/3= 5

Orrrr

15/-3=-5

Which of the following graphs represents exponential decay?

Answers

Answer:

C

Step-by-step explanation:

C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.

The graph of the unknown function C represents exponential decay.

The correct option is C.

What is exponential decay?

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

Two graphs of the unknown functions are given.

And when the value of x approaches to positive infinity,

the value of y decrease exponentially.

And from the above definition,

the graph is C.

Therefore, the graph is C.

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A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100

Answers

Answer: It should be x^2 + (x-2)^2 = 100

Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.

The solution to the correct equation will be x = 8. x -2 would be 6

8^2 = 64. 6^2 = 36. 64+36 = 100.

The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Calculation of the equation:

Since

A group of students is given a 10 by 10 grid to cut into individual unit squares.

So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]

Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

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In the diagram below, if
AEB=50°, find the measure of
AED.

Answers

Answer: 130ᴼ

Step-by-step explanation:

BD is a straight line so AEB and AED add to equal 180ᴼ

180 - 50 = 130

Answer:

AED = 130

Step-by-step explanation:

AEB and AED form a straight line so they add to 180 degrees

AEB + AED = 180

50 + AED = 180

Subtract 50 from each side

AED = 180-50

AED = 130

Find the distance of point U(2, 3) from point V(5, 7).​

Answers

Answer:

5

Step-by-step explanation:

You can draw a point at (5,3) and call it point A.

Connect point A with V and U to get VA = 4 and UA = 3.

You get a right triangle and use pythagoream theroem. The answer is the root of 4^2 + 3^2 which equals to 5.

The answer is 5

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