x^2−1.78x, if x=2.78

The expression for the perimeter of a rectangle with length (3x-8) cm and width (2x-7) cm is P = 2 * ((3x - 8) + (2x - 7)). After simplification, the final expression for the perimeter is P = 10x - 30 cm.

The perimeter of a rectangle is given by the formula 2 * (length + width). Here, the length of the rectangle is given as (3x - 8) cm and the width is given as (2x -7) cm. Therefore, substituting these into the formula the expression for the perimeter (P) is P = 2 * ((3x - 8) + (2x - 7)).

To simplify this, we first add up the like terms within the parentheses giving us P = 2 * (5x - 15). Then, apply the distributive property of multiplication over addition to simplify further and we get P = 10x - 30 cm. This is the simplified expression for the perimeter of the rectangle.

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Answer 13;

because sqrt148~12.16

Answer:

The smallest integer greater than √148 is 13

Step-by-step explanation:

√169 = 13

√144 = 12

so √148 is between 12 and 13

12 < √148 < 13

On those option choices

11 and 12 are smaller than √148

13, 14 and 15 are greater than √148

The smallest integer greater than √148 is 13

Answer:

80 just did it in a lesson

Step-by-step explanation:

Answer:

Yeah the other dude is right it is 80

Step-by-step explanation:

Answer:

Richard, at 2/3, versus Cooper, at 5/8

Step-by-step explanation:                              12 min

Richard's ratio of cardio to resistance is  R = ------------ = 2/3

                                                                            18 min

                            10 min

Cooper's is  C = ------------ = 5/8

                            16 min

The LCD here is 24.  Rewrite 2/3 and 5/8 with denominator 24 for greater ease in comparing the two fractions/ratios:

R = 16/24 and C = 15/24

So it becomes obvious that Richard does a higher ratio of carido to resistance.

Answer:

$123.25

Step-by-step explanation:

A selling price reflecting a 45% markup can be found by multiplying the wholesale price ($85) by (1 + 0.45), or  1.45:

1.45($85) = $123.25

1.Make y the subject

k = xy

k/x = xy/x

y = k/x

2.Substitute

y = k/x

y = 7/9

y = 0.777......

y = 0.8 (Answer)

To confirm

k = xy

k = 9 × 0.8

k = 7.2

k = 7 (constant)

Hope it helps☺

Answer:

7/9

Step-by-step explanation:

Answer:

2,520 pounds

Step-by-step explanation:

Step 1: For this question, all you have to do is multiply 4,000 * 0.63. In other words, you are multiplying the amount you have by the conversion rate. 4,000 * 0.63 is 2,520. That's our answer.

That is because the English language is three child languages standing on each other's shoulders in long trenchcoat pretending to be an adult language.

Also, your answer is 32,000in^3

The following integers from the greatest to least are as follows:

+3, 0, -3, -2, -8

The answer is +3,0,-2,-3,-8

Answer: Third Option

[tex]y = -10x + 110[/tex]

Step-by-step explanation:

The equation of a line in the pending intersection form has the following form:

[tex]y=mx +b[/tex]

Where m is the slope of the line and b is the intersection with the y axis.

Observe in the graph that the data form a decreasing line. Then the adjustment line must have a negative slope [tex]m <0[/tex].

The first and the second option have positive slopes, therefore we discard them.

Notice in the scatter diagram that the intersection of the line with the y-axis (x = 0) is above 90.

The line of the fourth option has a value of [tex]b = -110 <90[/tex].

Therefore the line that best fits the data is the third option

[tex]y = -10x + 110[/tex]

Note that the line has a slope [tex]m = -10[/tex] and a value of [tex]b> 90[/tex]

Answer:

the net change would be 22.50!

Step-by-step explanation:

add 4.50 5 times!

Answer:

The net change to Ian’s account after the utility company lives up to the agreement will be $22.50.

Step-by-step explanation:

The utility company made a mistake on Ian’s electric bill.

The company has agreed to credit Ian’s account for five transactions, each worth $4.50

This gives [tex]4.50\times5=22.50[/tex] dollars

So, the net change to Ian’s account after the utility company lives up to the agreement will be $22.50.

4, 3, 1, -2, -5

Hope this helps.

The following integers from the greatest to least are as follows:

+4, +3, +1, -2, -5

The mass of the gasoline in the container is 2657.81grams

The ratio of the mass of an object to its volume is its density. Mathematically;

Density = Mass/Volume

Mass = density * volume

Given the following

Density =  750 kg/m³.

Determine the volume

Volume = πr²h
Volume =3.14(0.75)² * 2

Volume = 3.54375 m³

Determine the mass

Mass = 750 * 3.54375

Mass = 2657.81grams

Hence the mass of the gasoline in the container is 2657.81grams

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Answer:

2649 kg

Step-by-step explanation:

I just took the test

Answer:

[tex]3m^3-7m^2n+3mn^2-n^3[/tex]

Step-by-step explanation:

[tex](5m^3 + 3mn^2) + (-7m^2n + mn^2 - n^3) - (mn^2 + 2m^3)\\Solving:\\5m^3 + 3mn^2 -7m^2n + mn^2 - n^3 - mn^2 - 2m^3\\Adding\,\,like\,\,terms\,\,\\5m^3 -2m^3+ 3mn^2 -mn^2+mn^2-7m^2n-n^3\\3m^3 +3mn^2-7m^2n-n^3\\Arranging\,\,in\,\,desecnding\,\,order\,\,in\,\,power\,\,of\,\,m\\3m^3-7m^2n+3mn^2-n^3[/tex]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

One tricycle has one seat, three wheels and two pedals

so

The number of seats is equal to 288*1=288 seats

The number of wheels is equal to 288*3=864 wheels

The number of pedals is equal to 288*2=576 pedals

Answer:

The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,

4.2 ft

Step-by-step explanation:

The equation for the volume of a pyramid of base area B and height h is

V = (1/3)·B·h.  Here, V = 432 ft³, B = (12 ft)² and h (height of the pyramid) is unknown.  First we find the height of this pyramid, and then the slant height.

V = 432 ft³ = (144 ft²)·h, so h = (432 ft³) / (144 ft²) = 3 ft.

Now to find the slant height of this pyramid:  That height is the length of the hypotenuse of a right triangle whose base length is half of 12 ft, that is, the base length is 6 ft, and the height is 3 ft (as found above).

Then hyp² = (3 ft)(6 ft) = 18 ft², and the hyp (which is also the desired slant height) is hyp = √18, or √9√2, or 3√2 ft.

The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,

4.2 ft

I’m not sure but I think it might be the second one, 6x^3y^6

the answer is b the second choice

it would be y = −1/2x + 5

Answer:

C

Step-by-step explanation:

49x² + 28xy + 4y² ← is a perfect square of the form

(ax + by)² = a²x² + 2abxy + b²y²

49 = 7² ⇒ a = 7 and 4 = 2² ⇒ b = 2

2ab = 2 × 7 × 2 = 28

Hence

49x² + 28xy + 4y² = (7x + 2y)²

with factor 7x + 2y ⇒ C

Answer:

B

Step-by-step explanation:

The interquartile range is the difference between the upper quartile ( the right side of the box plot ) and the lower quartile ( the left side of the box plot )

For cars this is 29 - 22 = 7 and

For minivans is 21 - 18 = 3

Answer:

The second one, cars 7mpg, minivans 3mpg

Step-by-step explanation:

This is because if you subtrect the upper quartile from the lower quartile you get a range this range is the answer to the queestion.

Answer:

y = 57, PQ = 60, RS = 28

Last option is the answer

Step-by-step explanation:

3 * y = 9 * 19

3y = 171

y = 57

PQ = 3 + 57 = 60

RS = 9 + 19 = 28

Answer:

y = 57; PQ = 60; RS = 28

Step-by-step explanation:

The product of lengths of parts of a chord is a constant, so ...

PT·TQ = RT·TS

TQ = y = RT·TS/PT = 9·19/3 = 57

Of course the total chord length is the sum of its parts, so ...

PQ = PT +TQ = 3 +57 = 60

RS = RT +TS = 9 +19 = 28

Then your answer choice is ...

y = 57; PQ = 60; RS = 28.

Angles TOS and ROQ are congruent, so [tex]m\angle ROQ=m\widehat{RQ}=28^\circ[/tex].

RT is a diameter of the circle, so [tex]m\widehat{RT}=180^\circ[/tex], and in particular

[tex]m\angle ROQ+m\angle QOP+m\angle POT=180^\circ\implies m\angle QOP=62^\circ[/tex]

Then

[tex]m\widehat{RPS}=28^\circ+62^\circ+90^\circ+28^\circ=\boxed{208^\circ}[/tex]

The measure of arc RPS = [tex]208^{\circ}$$[/tex].

The measure of an inscribed angle is half the measure of the intercepted arc.

(The measure of the arc is twice the measure of the angle)

Arc length is a measurement of distance, so it cannot be in radians.

Angles TOS and ROQ are congruent,

so [tex]$m \angle R O Q=m \widehat{R Q}=28^{\circ}$[/tex].

RT is the diameter of the circle,

so [tex]$m \widehat{R T}=180^{\circ}$[/tex], and in particular [tex]$m \angle R O Q+m \angle Q O P+m \angle P O T=180^{\circ}[/tex]

[tex]\Longrightarrow m \angle Q O P=62^{\circ}$[/tex]

Then

[tex]$$m \widehat{R P S}=28^{\circ}+62^{\circ}+90^{\circ}+28^{\circ}=208^{\circ}$$[/tex]

[tex]$$m \widehat{R P S}=208^{\circ}$$[/tex]

The measure of arc RPS = [tex]208^{\circ}$$[/tex].

Therefore, the correct answer is option (b) [tex]208^{\circ}$$[/tex].

To learn more about the measure of arc

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Answer:

5

Step-by-step explanation:

So we want to find the value of x where the area to the left of it is equal to 0.6.

Let's start by finding the area of the first triangle, between x=0 and x=4.

A = 1/2 bh

A = 1/2 (4) (0.2)

A = 0.4

So we know a > 4.  What if we add the area of that rectangle?

A = 0.4 + bh

A = 0.4 + (1) (0.2)

A = 0.6

Aha!  So a = 5.

Answer:

c is the answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

- 1 <= sin (a) <= 1

-2+5*(-1)<= -2+5sin(pi/12)(x-2)<= -2 +5*(1)

so

the minimum value of y is

y = - 2 + 5 * ( - 1 ) = - 7

hope this would help you

Answer:

[tex]\Large \boxed{-7}[/tex]

Step-by-step explanation:

We can find the minimum of the function by plotting the function on the graph.

[tex]\displaystyle \mathrm{y=-2+5 \cdot sin(\frac{\pi }{12}(x-2) )}[/tex]

The minimum value is the y value of the lowest point on the graph.

Answer:

  A.)  285

Step-by-step explanation:

The sum of an arithmetic series is the sum of the first and last terms multiplied by half the number of terms.

  (10 +85)·6/2 = 285 . . . sum of 6 terms

Answer:

x=4

Step-by-step explanation:

Simplifying

4x + 16 + -1x = 22 + 6

Reorder the terms:

16 + 4x + -1x = 22 + 6

Combine like terms: 4x + -1x = 3x

16 + 3x = 22 + 6

Combine like terms: 22 + 6 = 28

16 + 3x = 28

Solving

16 + 3x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + 3x = 28 + -16

Combine like terms: 16 + -16 = 0

0 + 3x = 28 + -16

3x = 28 + -16

Combine like terms: 28 + -16 = 12

3x = 12

Divide each side by '3'.

x = 4

Simplifying

x = 4

Hope this helps! And please correct me if I'm wrong so others can have the correct answer.

For this case we must solve the following equation:

[tex]4x + 16-x = 22 +6[/tex]

We add similar terms on both sides of equality:

[tex]3x + 16 = 28[/tex]

We subtract 16 from both sides of the equation:

[tex]3x = 28-16\\3x = 12[/tex]

We divide between 3 on both sides of the equation:

[tex]x = \frac {12} {3}\\x = 4[/tex]

ANswer:

[tex]x = 4[/tex]

Answer:

Both a and b are independent (see explanation)

Step-by-step explanation:

Events A and B are independent when

[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]

a) A - "winning"

B - "playing at home"

From the table,

[tex]P(A)=0.25\\ \\P(B)=0.8\\ \\P(A\cap B)=0.2[/tex]

Since

[tex]0.25\cdot 0.8=0.2[/tex]

events are independent.

b) A - "losing"

B - "playing away"

From the table,

[tex]P(A)=0.75\\ \\P(B)=0.2\\ \\P(A\cap B)=0.15[/tex]

Since

[tex]0.75\cdot 0.2=0.15[/tex]

events are independent.

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

We have been given the following inequality;

| x+11 | < 17

We can replace the absolute value function by re-writing the inequality as;

-17< x+11<17

subtract 11 from both sides;

-17-11<x+11-11<17-11

-28<x<6

splitting this we have;

x<6

x>-28

Answer:

A. x < 6 and x > - 28

Step-by-step explanation:

| x+11 |< 17

x + 11 < 17

x < 6

-(x + 11) < 17

-x - 11 < 17

-x < 28

x > - 28

Answer

6 > x > -28 (x < 6 and x > - 28)