Two cars are approaching each other at 100 kmph and 70 kmph.
They are 200 meters apart when both drivers see the oncoming car.
Will the drivers avoid a head-on-collision? The braking
efficiency of bot

Answer:

The surface area of cube = 6 side2

According to the question,

Let the side of the cube be x

Each side of the cube increased by 50%.

= x(100 + 50)/100 = 1.5x

The surface area of the cube

⇒6x²

The new surface area of the cube (side = 1.5x)

⇒ 6 × 2.25x²

Increase percentage in the surface area

⇒((6 x 2.25 x²-6x²)/6 x² }× 100

⇒ 125%

Answer:

x = - 5/2 or x = - 3/2

Step-by-step explanation:

|-2(x+2|=1

|-2x-4|=1

- 2x - 4 = 1 or - 2x - 4 = - 1

- 2x - 4 = 1

- 2x = 4+1

x = - 5/2

or -2x - 4 = - 1

-2x = 4 - 1

x = - 3/2

Answer: 25.0

Step-by-step explanation:

\(\frac{x}{\sin 65^{\circ}}=\frac{22}{\sin 53^{\circ}}\\\\x=\frac{22 \sin 65^{\circ}}{\sin 53^{\circ}}\\\\x \approx 25.0\)

A positive δS and a negative δH indicate a spontaneous reaction.

The signs of δs and δh are related to the spontaneity of a reaction through the Gibbs free energy equation:

ΔG = ΔH - TΔS

where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

For a spontaneous reaction, ΔG must be negative. The sign of ΔG depends on the signs of ΔH and ΔS and the temperature. Specifically, if ΔH is negative (exothermic reaction) and ΔS is positive (increase in disorder), then ΔG will be negative and the reaction will be spontaneous at all temperatures.

If δs is positive and δh is negative, then ΔS is positive and ΔH is negative. This satisfies the conditions for a spontaneous reaction, and therefore the reaction will be spontaneous at all temperatures.

In summary, a positive δS and a negative δH indicate a spontaneous reaction.

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Answer:

if it is wednesday, it is a weekday.

Step-by-step explanation:

not all tables have 4 legs, not all printed words are in books, and not all months have 30 days.

Given:

The diameter of a circle = 20 feet

To find:

The exact circumference of the circle.

Solution:

We know that the radius is half of the diameter of the circle.

The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.

The circumference of the circle is:

\(C=2\pi r\)

Where, r is the radius.

Substituting \(\pi = 3.14, r=10\), we get

\(C=2(3.14)(10)\)

\(C=(6.28)(10)\)

\(C=62.8\)

Therefore, the exact circumference of the circle is 62.8 feet.

Note: All options are incorrect.

Using Counting principle,

The black center square contains total 330 small squares.

We start with lowest one i.e 1 × 1

Let’s consider any one face out of six faces of cube ,

as one face of grid or cube is made up of 25 small squares.

If we are facing difficulty in visualising then

simply we draw a 5× 5 board on paper, just as seen in above picture :

and now check 2× 2 squares.

By using R1, R2 and all columns we shall be able to draw 4 such blocks.

Again, R2,R3 and R3, R4 and R4,R5 we can easily draw 4 squares each cash .

Thus, total square count of 2× 2 squares will be

= 16

similarly, we do it for 3× 3 and 4×4 and we will get 9 & 4 respectively.

For final one 5× 5 there is one big square

So, total squares for one face will be

= 25+16+9+4+1=55

Since, there are 6 such faces for a cube then

=>55× 6= 330

Hence, total squares contain the black center square is 330.

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The amount Jorge have to pay from his savings and loans will be $7000. So the correct answer will be option B.

Total college fees will be the total in the cost column. That will be total of tuition & fees and room and board.

Total amount payable = 26000 + 12500 = $38500

Amount he gets from grants and scholarships = $18500

Amount he gets from Work-study = $8500

Amount he gets from his parents = $4500

Amount he receives in total = 18500 + 8500 + 4500 = $31500

Let amount he pays himself is x.

Total amount payable = Amount he receives + amount he pays himself

          38500  = 31500 + x

           x = 38500 - 31500 = 7000

So he have to pay $7000 from his savings and loans.

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The simplification of the given fraction would be = 4⅔

A fraction is defined as the part of a whole which is represented as a numerator and a denominator.

The numerator is the figure above the division line while the denominator is the figure below the division line

The given expression is to multiply 7 by ⅔

That is ,

= 7× 2/3

= 14/3

= 4⅔

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Answer:

0.3

Step-by-step explanation:

Were you asking for 5% of 6? Because then you would just multiply 6 by 0.05 (because percents are always out of 100%, so converted to decimal it is out of 1) and then get 0.3

Answer: The percentage of 6 by 5 (i.e. 6:5) is 120

Step-by-step explanation:

Given: 6 by 5 i.e. 6/5

Solution: (value/ total value)* 100

hence, (6/5)*100

=1.2*100

=120.

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Answer: x = 23

Step-by-step explanation:

(3x + 13)

3 x 23 + 13= 82

(4x - 10)

4 x 23 - 10= 82

Answer:

I would estimate $30.52

Step-by-step explanation:

If you subtract his original total from the beginning from what he had spent on shoes, you would get the amount of what he has left.

Explanation:

Step 1. We have a piecewise function defined for certain x value intervals.

for x values between -4 and -1, the definition is:

To graph this, we compare it with the general line function

where m is the slope (the rate of change of the line) and b is the y-intercept. In this case, for f(x)=x+6, the slope is m=1, and the y-intercept is 6, if we were to graph this line in the whole plane, it would look as follows:

But since this is just the definition of the function for the values between -4 and -1, the result is:

Step 3. Now we consider the second definition of the function:

Comparing it with the general line function

where m is the slope (the rate of change of the line) and b is the y-intercept.

Here in f(x)=-2x+7, the slope is m=-2, and the y-intercept is b=7, which means that the line is decreasing at a rate of -2, and that it crosses the y-axis at 7.

If we were to graph this line in the whole plane, it will look as follows (in blue):

But since that is the definition of the function only for the interval from -1 to 5, we only consider the line for that specific x-interval, we represent the point at -1 with an open circle and at 5 with a filled circle to represent that 5 is included in the segment:

Answer:

If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

The sum of n terms of a Geometric Progression ( a,ar,ar²,ar³,...,arⁿ⁻¹ ) is given by

Sₙ=a(rⁿ-1)/(r-1)

where, a=first term

and r = common ratio

In the given question ,

Ajay runs 20 miles in first week ,     ...(i)

In second week the distance is increased by 5% of the previous week .

So in second week he runs = 20+5% of 20

\(=20+\frac{5}{100} *20\)

=20(1+5/100)

=20(105/100)

=\(20\times(\frac{21}{20})\)          ...(ii)

In third week Ajay runs = 20(21/20) + 5% of  20(21/20)

=\(20(\frac{21}{20} )+\frac{5}{100} *20(\frac{21}{20} )\)

=20(21/20)[1+5/100]                   ..taking 20(21/20) common

\(=20(\frac{21}{20} )[\frac{105}{100} ]\)

=20(21/20)(21/20)

=20(21/20)²              ...(iii)

Similarly in 14th week Ajay Runs = 20(21/20)¹³ .    ...(iv)

Total miles run by Ajay = miles run in first week + miles run in 2nd week +    ...+ miles run in 14th week.

Substituting the values of equation (i), (ii), (iii) and (iv) we get

Total miles run by Ajay = \(20+20(\frac{21}{20} )+20(\frac{21}{20} )^{2} +...+20(\frac{21}{20} )^{13}\)

The above series represent a Geometric Progression with common ratio as (21/20) and first term as 20.

Substituting in the formula for Sum of Geometric Mean we get

\(S_{14} =20(\frac{(\frac{21}{20} )^{14} -1}{\frac{21}{20} -1} )\)

S₁₄=20*((1.05)¹⁴-1)/(1.05-1)

=20*(1.9799-1)/0.05

=20*0.9799/0.05

=20*19.598

=391.96

≅391

Therefore , If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

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Answer:

x=4

Step-by-step explanation:

Alright so for this one the following angles are corresponding meaning that the two equations are equal to each other. Knowing that you then have to set up an equation and the equation is 25x=4+24x. Now you wanna get the variable and the constant on different sides. To do this you subtract 24 from each side to get 1x=4. Then you divide each side by 1 to get x=4

By using the z value, it can be calculated that

P value for upper tail = 0.0455

P value for lower tail = 0.9545

P value for two tail  = 0.091

What is z value?

z value determines the number of standard deviation, the event is above the mean value. That means z value determines the distance of the event from the mean and it is measured in terms of Standard Deviation.

z value = 1.76

From the z table

P value for upper tail = 1 - 0.9545 = 0.0455

P value for lower tail = 0.9545

P value for two tail = 0.0455 \(\times\) 2 = 0.091

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The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

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Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

The distance of the final position from the starting point is 20.2 m and the direction of a line connecting the starting point to the final position is 196.7∘ south of west.

Given information:

A=11.0 m in a direction θ1​=17∘ west of northB=23.0 m in a direction θ2​=45.0∘ south of west

The figure is as shown below:Vector addition of A and B results in the resultant vector R.

The vector R points from the origin (starting point) to the final position.

The magnitude of R gives the distance from the starting point to the final position.

According to the given figure,θ1​=17∘ west of north, θ2​=45.0∘ south of west

Firstly, let's find the x and y components of A.

A=11.0 m in a direction θ1​=17∘ west of north.x component of A, Ax= Asinθ1​=11.0sin(17∘)=3.04my component of A, Ay=Acosθ1​=11.0cos(17∘)=10.33m

Similarly, let's find the x and y components of B.B=23.0 m in a direction θ2​=45.0∘ south of west.x component of B, Bx= Bcosθ2​=23.0cos(45∘)=16.26my component of B, By=−Bsinθ2​=−23.0sin(45∘)=−16.26m [Negative since it is in the opposite direction to the positive y-axis]

Let's add the x and y components of A and B respectively to get the x and y components of R.R= A+Bx component of R, Rx=Ax+Bx=3.04+16.26=19.3my component of R, Ry=Ay+By=10.33−16.26=−5.93m [Negative since it is in the opposite direction to the positive y-axis]

Now, the magnitude of R is, |R|=√(Rx2+Ry2)=√(19.32+(-5.93)2)=20.2m

Therefore, the distance from the starting point to the final position is 20.2 m.Now, let's find the direction of R. It is given that the direction of R is in degrees south of west.

Therefore, let's find the angle θ that R makes with the positive x-axis, then the direction of R would be (180-θ)∘ south of west.θ=tan−1⁡(RyRx)=tan−1⁡(−5.9319.3)=−16.7∘

Therefore, the direction of R is (180-θ)∘ south of west= (180-(-16.7))∘ south of west=196.7∘ south of west [Rounding to one decimal place]

Hence, the distance of the final position from the starting point is 20.2 m and the direction of a line connecting the starting point to the final position is 196.7∘ south of west.

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Answer:

(5490-650) ÷ 22 = Y

Step-by-step explanation:

The wide is the gym in the drawing is 5

In the given statement is

Cassie measured the middle school and made a scale drawing. The scale of the drawing was 1 inch : 9 feet. the actual width of the gym is 45 feet.

To find how wide is the gym in the drawing

Now, According to the question

and, Based on the given conditions

=45 x1/9

=45/9

=5

Thus, The wide is the gym in the drawing is 5

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Answer:

The slope is 1/4

The y-intercept is 3

Step-by-step explanation:

Hopefully, this helps :)

y = x (slope) + b (y-intercept)

Answer:

Hello! the answer is 3.......

I feel as though the question was a joke.. But no matter I will accept the points.

Anyway have a great day and take mental health breaks!

Thus, the total length of lap covered to get the seven different obstacles is found as: 52 units.

the Pythagorean theorem is used to calculate the distance between two locations using the distance formula. The Pythagorean theorem can be rewritten as d = √((x2 - x1)²+(y2 - y1)²)  to calculate the separation between any two locations.

Given data:

Points on  y-axis and an x-axis are given,

M(-3,5), F(8,5), G(8,2), H(3,2), I(3,-5), J(-8,-5), K(-8,-2), and L(-3,-2).

Starting and ending point is F.

Points lies between the starting and ending are-

F ,G, H, I, J, K, L, M, F

Total length = sum of all length

d = √((x2 - x1)²+(y2 - y1)²)

FG =  √((8 - 8)²+(2 - 5)²)

FG =  √9

FG =  3

GH =  √((8 - 3)²+(2 - 2)²)

GH  =  √25

GH =  5

HI =  √((3 - 3)²+(2 + 5)²)

HI  =  √49

HI  =  7

IJ =  √((3 + 8)²+(-5 + 5)²)

IJ =  √121

IJ =  11

JK =  √((-8 + 8)²+(-2 - 5)²)

JK =  √9

JK =  3

KL =  √((-8 + 3)²+(-2 + 2)²)

KL =  √25

KL =  5

LM =  √((-3 + 3)²+(-2 - 5)²)

LM =  √49

LM =  7

MF =  √((8 + 3)²+(+5 - 5)²)

MF =  √121

MF =  11

Total length = 3 + 5 + 7 + 11 + 3 + 5 + 7 + 11

Total length = 52 units

Thus, the total length of the lap covered to get the seven different obstacles is found as: 52 units.

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Answer:

absolute value

Step-by-step explanation:

Answer:

Step-by-step explanation:

not sure 2

The difference in cost between Plumber W and Plumber T if the repair takes 5 hours will be $36.

From the information, Plumber W charges $95 per hour and an additional $32 for parts. Plumber T charges $86 per hour and an additional $41 for parts.

The difference in cost between Plumber W and Plumber T if the repair takes 5 hours will be:

= 86 + (41 × 5) - 95 + (32 × 5)

= 86 + 205 - 95 + 160

= 291 - 255

= 36

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Complete question

Plumber W charges $95 per hour and an additional $32 for parts. Plumber T charges $86 per hour and an additional $41 for parts.

What is the difference in cost between Plumber W and Plumber T if the repair takes 5 hours?

Answer:

For short Go all the down

Conversion a mixed number 8 1/4

to a improper fraction: 8 1/4 = 8 1/4

= 8 · 4 + 1/4

= 32 + 1/4

= 33/4

To find new numerator:

a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/4

= 32/4

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write a previous answer (new numerator 33) over the denominator 4.

Eight and one quarter is thirty-three quarters

Conversion a mixed number 3 2/5

to a improper fraction: 3 2/5 = 3 2/5

= 3 · 5 + 2/5

= 15 + 2/5

= 17/5

To find new numerator:

a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/5 = 15/5

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write a previous answer (new numerator 17) over the denominator 5.

Three and two fifths is seventeen fifths

Subtract: 33/4

- 17/5

= 33 · 5/4 · 5

- 17 · 4/5 · 4

= 165/20- 68/20

= 165 - 68/20

= 97/20

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 5) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 5 = 20. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-three quarters minus seventeen fifths = ninety-seven twentieths.

Conversion a mixed number 2 1/3

to a improper fraction: 2 1/3 = 2 1/3

= 2 · 3 + 1/3  

= 6 + 1/3  

= 7/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3

= 6/3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Subtract: 7/3  - 1/4  

= 7 · 4/3 · 4 - 1 · 3/4 · 3  

= 28/12- 3/12

= 28 - 3/12

= 25/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven thirds minus one quarter = twenty-five twelfths.

Subtract: the result of step No. 3 - the result of step No. 5 = 97/

20  - 25/12  

= 97 · 3/20 · 3  - 25 · 5/12 · 5  

= 291/60  - 125/60

= 291 - 125/60

= 166/60

= 2 · 83/2 · 30

= 83/30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(20, 12) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 20 × 12 = 240. In the next intermediate step, , cancel by a common factor of 2 gives 83/30

In words - ninety-seven twentieths minus twenty-five twelfths = eighty-three thirtieths.

Step-by-step explanation:

83/30 is the awnser

Answer:

d

Step-by-step explanation: