1/8 to decimal and
10/11 to decimal

Answer:

The last one (2/3 and 8/12)

Step-by-step explanation:

When you reduce 8/12, you would get 2/3. If you multiply 2/3, you would get 8/12. Therefore, this ratio is proportional.

Have a good day :)

Answer:

Inequality form:

-11< x < -4

Interval Notation:

(-11, -4)

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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The measure of the angle where line l meets line n is unknown, as it is not mentioned in the question.

Unfortunately, the question does not provide any information about the measure of the angles where lines l and m meet line n.

Therefore, we cannot determine the specific degrees of these angles. However, we do know that lines l and m are not the same line but intersect line n.

This suggests that lines l and m are not parallel to each other. When two lines intersect, they form angles at the point of intersection. These angles can vary in measure depending on the specific geometric configuration. Without further information, we cannot determine the exact measure of these angles.

Similarly, the measure of the angle where line m meets line n is also unknown.

The fact that lines l and m both intersect with line n indicates that they are two distinct lines that intersect at a common point, creating a "V" shape. In other words, lines l and m are not the same line.

Therefore, the conclusion is that lines l and m are not parallel but intersect each other at line n.

Lines l and m are not parallel, but they intersect at line n. The measure of the angles where they intersect is not given in the question.

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The answer is " 7 to the power 3rd ".

We translate the algebraic expression 7³ into a verbal expression. The given expression has a base number of 7 raised to the power of 3 . This means is that 7 is multiplied by itself 3 times. So we should write " 7 to the power 3rd "

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Answer:

I think the answer is 2.) p^q

Step-by-step explanation:

hope this helps if it is wrong let me know have a blessed day

p → q represents “if p then q" represents "If x = 4, then y = −2”

Therefore, the correct representation is:

Thus Option 3 is correct. 3.) p → q

Given :Let p: x = 4 Let q: y = −2

To Find Which represents "If x = 4, then y = −2”?

we know that:

1. p ∧ q represents “p and q”

2.p ∨ q represents “p or q (or both)

3.p → q represents “if p then q”

4. p ↔ q represents “p if and only if q"

The statement "If x = 4, then y = -2" can be represented by the conditional statement "p → q" which reads "p implies q" or "if p, then q."

In the given representation:

p: x = 4

q: y = −2

The conditional statement "p → q" means that if x is equal to 4 (p is true), then y is equal to -2 (q is true).

So, we can see that p → q represents “if p then q" represents "If x = 4, then y = −2”

Therefore, the correct representation is:

Thus Option 3 is correct. 3.) p → q

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Answer:

60 in

Step-by-step explanation:

Area = length x width

Area is constant at 1440 in^2

For first rectangle: W1 and L1

For second rectangle: W2 and L2

W1 = 32 in

W2 = W1 - 8 in = 24 in

1440 in^2 = L1 x 32 in = L2 x 24 in

L1 = 45 in

L2 = 60 in

MTTF = 3 years * 365 days/year * 24 hours/day = 26,280 hours, MTTR = 1 day * 24 hours/day = 24 hours.As MTTR approaches 0, the availability will increase, approaching 100%. If the MTTR gets very high, it means that the device is difficult to repair, and the availability will decrease.

To calculate MTBF and  availability for a storage resource with an MTTF of 3 years and an MTTR of 1 day, we will follow these steps:

Step 1: Convert MTTF and MTTR to the same unit of measurement. In this case, we will convert both to hours.
MTTF = 3 years * 365 days/year * 24 hours/day = 26,280 hours
MTTR = 1 day * 24 hours/day = 24 hours

Step 2: Calculate MTBF using the formula: MTBF = MTTF + MTTR
MTBF = 26,280 hours + 24 hours = 26,304 hours

Step 3: Calculate availability using the formula: Availability = MTTF / (MTTF + MTTR)
Availability = 26,280 hours / (26,280 hours + 24 hours) = 26,280 / 26,304 ≈ 0.9991, or approximately 99.91%.

As MTTR approaches 0, the availability will increase, approaching 100%. However, this is not a realistic situation, as repair and replacement times can never truly be zero in the real world. There will always be some amount of time required to repair or replace a device.

If the MTTR gets very high, it means that the device is difficult to repair, and the availability will decrease. This implies that the device has low availability, as the time to repair or replace the device is a significant factor in determining its overall reliability and availability. A device with a high MTTR is less desirable because it will be unavailable for extended periods when it does fail, negatively impacting the system it is a part of.

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Answer: just graph it on the y-axis

Step-by-step explanation:

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

Length is 7 units

Step by Step explanation:

Assuming you mean the Area is 28 square units

Then

L = w + 3

A = w(w + 3)

28 = w2 + 3w

We can subtract 28 from both sides of the equation to obtain the Quadratic

w2 + 3w - 28 = 0

Factoring to give

(w + 7)(w - 4) = 0

The width cannot be -7

w = 4

L = w + 3

L = 4 + 3 = 7

The width of the rectangle is 4 units and the length of the rectangle is 7 unites.

Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1)  and draw a straight line through them.

Step-by-step explanation:

The equation  y= 5-x  can be rewrite as  y = -1x + 5  and it can be identify as a linear equation in slope intercept form. Now you could plot in any value  of x and solve for y.

x        y         (x,y)

0       5          (0,5)   If you put in 0 for x y will be 5

1       4            (1,4)    if you put in 1 for x,  y will be 4

2      3            (2,3)  if you put in 2 for x, y will be 3

4       1             (4,1)   if you put in 4 for x, y will be  1

5       0             (5,0)  if you put in 5 for x y will be 0.

Answer:

885735

Step-by-step explanation:

Each number is being multiplied by 3

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98415, 295245, 885735

Answer:

885735

Step-by-step explanation:

Its multiplying by 3

5, 15 ,45 ,135 ,405 ,1215 ,3645 ,10936 ,32805, 98415, 295245, 885735

Answer:

The silo holds 22608 ft³ of the corn

Step-by-step explanation:

Assume the cylindrical silo is a perfect cylinder.

Volume of cylinder = πr²h

Volume = 3.14 × (12)² × 50

Volume = 22608 cubic feet

Answer:

its 63

Step-by-step explanation:

Answer:

\( \frac{15.75}{0.25} = \frac{1575}{25} \\ = 63\)

...............................

Answer: y = 1/4x + 5

Step-by-step explanation:

Simply use the slope formula to find the slope, then plug in a point to y = mx + b to find the y-intercept.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

28:20

Step-by-step explanation:

you just multiply 5 by 4 because 20 divided by 4 is 5 and then multiply 7 by 4

Answer:

Let total students be ‘X’

No of girls = (X-20)

Girls/Boys=7/5=(X-20)/20

7(20) =5(X-20)

140=5X-100

5X=240

X = 240/5

X =48

So, Total Students are 48

No of girls = (X-20) = 48-20 = 28

Step-by-step explanation:

Answer:

−4x + 10 < 26

Step 1: Subtract 10 from both sides.

−4x + 10 − 10 < 26 − 10

−4x < 16

Step 2: Divide both sides by -4.

-4x/−4  <  16 /−4

x > −4

Answer:

x > −4

assuming you're solving for x:

solve using pemdas backwards, so basically sadmep :)

first subtract 10, and you end up with the equation -4x < 16.

Next is dividing the -4. Remember dividing by a negative number switches the sign direction, so the < becomes a >. So, your answer would be x > -4

we will use the formula of tan(A+B)= (tanA+tanB)/(1-tanAtanB)

and tan(A-B)= (tanA-tanB)/(1+tanAtanB)

tan[(pie/4)+(x/2)]= [1+tan(x/2)]/[1-tan(x/2)] ......(1)

tan[(pie/4)-(x/2)]= [1-tan(x/2)]/[1+tan(x/2)]......(2)

now add the equation (1) and (2) which is LHS of question. So we get:

{[1+tan(x/2)]^2 + [1- tan(x/2)]^2}/1-tan^2(x/2)=2[1+tan^2(x/2)]/1-tan^2(x/2)= 2/cosx = 2secx =RHS

Hence proved.

Answer:  Yes, it's wrong.

Step-by-step explanation:

In the equation, it was \(A=\pi r^{2}\)3 ft is the circle's diameter, and d is not the r.

r = d/2 = 3/2 = 1.5 ft

\(A=\pi r^{2}\\\)

   ≈ 3.14 x 1.5

   = 4.71

The ending values in vector `x` after executing the given code snippet would be `7 3 0 8 8`.

The given code snippet appears to be incorrect and incomplete. There are a few issues:

1. The loop condition is not properly defined. Instead of `i < x.size() - 1`, it should be `i < x.size() - 1` to ensure that `i` does not exceed the valid index range of the vector `x`.

2. The increment expression `i` is missing in the loop statement, causing an infinite loop since `i` never changes.

Assuming the correct loop condition is `i < x.size() - 1` and the missing increment expression is `i++`, let's correct the code:

cpp

#include <iostream>

#include <vector>

int main() {

   std::vector<int> x = {4, 7, 3, 0, 8};

   int i;

   for (i = 0; i < x.size() - 1; i++) {

       x.at(i) = x.at(i + 1);

   }

   // Printing the modified vector x

   for (int element : x) {

       std::cout << element << " ";

   }

   std::cout << std::endl;

  return 0;

}

Now, running this corrected code will give the following output:

7 3 0 8 8

After executing the loop, the vector `x` will have the ending values `7, 3, 0, 8, 8`. The last element `x.at(4)` is assigned the value of `x.at(4 + 1)`, which is `8`.

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Answer:

4

Step-by-step explanation:

a scale factor means how much something changes in length, area, or volume. it is somewhat like a multiplier. EF is 12 units long but E'F' is 3 so 12 ÷ 3 = a scale factor of 4

Answer:

She earned $42,000 in the previous year

Step-by-step explanation:

9% can be rewritten as 0.09

0.09x is 4050

divide both sides by 0.09

0.09x becomes x

4050 becomes 45,000

then we subtract 3,000 from 45,000 to find the previous years salary

The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.

The sample space for the coin toss is  {H,T}, so there are two possible outcomes. The favorable one is  H.

The probability of flipping a heads on the coin is equal to 1/2.

Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as  1/6

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals

\(\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}\)

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Answer:

\(\frac{dy}{dx} = 2 + \frac{2}{{(x - 1)}^{ 3} } \)

Step-by-step explanation:

\(let \: y = 2x - \frac{1}{(x - 1)^{2} } \\ \\ \implies \: y = 2x - {(x - 1)}^{ - 2} \\ \\ differentiating \: w.r.t. \: x \: on \: both \: sides \\ \\ \frac{dy}{dx} = \frac{d}{dx} (2x) - \frac{d}{dx} {(x - 1)}^{ - 2} \\ \\ \frac{dy}{dx} = 2\frac{d}{dx} (x) - \frac{d}{dx} {(x - 1)}^{ - 2} \\ \\ \frac{dy}{dx} = 2(1) - ( - 2) {(x - 1)}^{ - 2 - 1} \frac{d}{dx} (x - 1)\\ \\ \frac{dy}{dx} = 2 + 2 {(x - 1)}^{ - 3} (1 - 0)\\ \\ \frac{dy}{dx} = 2 + 2 {(x - 1)}^{ - 3} (1)\\ \\ \frac{dy}{dx} = 2 + \frac{2}{{(x - 1)}^{ 3} } \)

Answer

2/3+5/6= is 1.5

Step-by-step explanation:

first do 2/3=0.66666666666

and 5/6=0.83333333333

then do 0.66666666666+0.83333333333=1.5

Answer:

#1: 1 1/2 and #2: 6 1/10

Step-by-step explanation:

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