Identify the slope and y-intercept of the line −2x+5y=−30.

Answer:

44

Step-by-step explanation:

We can solve the equation by simplifying it.

[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.

[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.

[tex]n = 44[/tex].

Hope this helped!

Answer:

  44

Step-by-step explanation:

  [tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]

Answer:

  2444

Step-by-step explanation:

The total cost is the integral of the marginal cost.

  [tex]\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}[/tex]

The total cost of producing units 144 through 625 is 2444.

_____

If all you need is a number, a graphing calculator can give you that.

Answer:

f(-1) = -8

f(1) =  -12

Answer:

7 seconds

Step-by-step explanation:

Given the height equation of the motion;

s = -16t^2 + 256t

At s = 1008 ft

The equation becomes;

1008 = -16t^2 + 256t

16t^2 - 256t + 1008 = 0

Solving the quadratic equation for t;

Factorising, we have;

16(t-7)(t-9) = 0

t = 7 or t = 9

When the ball is going up it would reach the given height at time t = 7 seconds.

When it is coming down it would reach the given height at time t = 9 seconds.

Answer:

^Y= 26.72 + 0.0547Xi

^Y/[tex]_{X=3000}[/tex]= 190.82ºF

B. It is unrealistically high.

Step-by-step explanation:

Hello!

*Full text*

The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of .05. What is wrong with this predicted value?

Chirps in 1 min.     929    854    771    1004    1201    1027

Temperature (F)     81.3    77.3    64.8    80.3    92.2    80.9

What is the regression equation?

^y= _____ + _____

(Round the x-coefficient to four decimal places as needed. Round the constant to two decimals as needed)

What is the predicted value? ^y= _____ (Round to one decimal places as needed)

What is wrong with this predicted value?

A. The first variable should have been the dependent variable

B. It is unrealistically high.

C. It is only an approximation

D. Nothing is wrong with this value

To calculate the regression equation you have to estimate the slope and the y-intercept.

^Y= a + bX

Estimate of the slope:

[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }[/tex]

n= 6

∑X= 5786 ∑X²= 5691944 [tex]\frac{}{X}[/tex]= 964.33

∑Y= 476.80 ∑Y²= 38277.76 [tex]\frac{}{Y}[/tex]= 79.47

∑XY= 465940.4

[tex]b= \frac{465940.4-\frac{5786*476.80}{6} }{5691944-\frac{(5786)^2}{6} }= 0.0547[/tex]

Estimate of the Y-intercept:

[tex]a= \frac{}{Y} -b*\frac{}{X}[/tex]

[tex]a= 79.47 -0.0547*964.33= 26.696= 26.72[/tex]

The estimated regression equation is:

^Y= 26.72 + 0.0547Xi

^Y/[tex]_{X=3000}[/tex]= 26.72 + 0.0547*3000= 190.82ºF

At the rate of 3000 chirps per minute it is expected a temperature of 190.82ºF

As you can see it is unrealistic to think that the chirping rate of bugs will have any effect over the temperature. For what is known about bugs, they tend to be more active to higher temperatures.

Considering the value obtained, as it is incredible high, if this regression was correct, every time the chirping rate of bugs increases, the ambient temperature would rise to levels incompatible with life.

I hope this helps!

Answer:

39 inches

Step-by-step explanation:

sqrt(15^2 + 36^2) = 39

Answer:

equation= s+26=42

to solve,subtract 26 from both sides

Step-by-step explanation:

lets say the number is S

to increase is to add

S+26=42

solution

S+26(-26)=42-26

S=16

Answer:

Explanation: Correct on Edg 2020.

Graph the line using the slope and y-intercept, or two points.

Slope: -7/3

y-intercept: 2

Please mark me as brainliest if possible. Stay safe and God bless you!!

<3

- Eli

Answer:

First term a = 41

Step-by-step explanation:

Arithmetic Progression:

Common differences d = -2

[tex]S_{n}=\frac{n}{2}(2a+[n-1]d)\\\\S_{20}=\frac{20}{2}(2a+19*[-2])\\\\[/tex]

  = 10*(2a - 38)

 = 10*2a - 10*38

=20a - 380

[tex]S_{22}=\frac{22}{2}(2a+21*[-2])\\\\[/tex]

= 11 (2a -42)

=11*2a - 11*42

= 22a - 462

[tex]S_{22}=S_{20}\\\\[/tex]

22a - 462 = 20a - 380

22a = 20a - 380 + 462

22a = 20a + 82

22a - 20a = 82

2a = 82

a = 82/2

a = 41

First term a = 41

Answer:

$72

Step-by-step explanation:

I = Prt

I = ($300)(0.04)(6)

I = $72

Answer:

Step-by-step explanation:

First convert 3 minutes and 15 seconds into minutes by converting 15 sec to min and add it to 3min

60 sec = 1min

15 sec = 15 / 60 × 1 min

= 0.25min

Add it to 3min

3min + 0.25min = 3.25 min

We use ratio and proportion

3.25min = 104 copies

1 min = 104× 1/ 3.25

= 104 / 3.25

= 32

The final answer is 32 copies

Hope this helps you.

Answer:

Step-by-step explanation:

3 min 15 sec = 3*60 + 15 = 180 + 15 = 195 seconds

In 195 seconds 104 copies are made

In one second, the number of copies made = [tex]\frac{104}{195}\\[/tex]

In 60 seconds, the number of copies made = [tex]\frac{104}{195}*60[/tex]

                                                                       = 32 copies

Answer: 2.04÷ 4= 0.51

4.68÷9= 0.52

4 pack is better value by 0.01

Answer:

4    -6

Step-by-step explanation:

have a great day!

Multiply the first equation by 2/3 and the second equation by -1.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

3x - (1/4)y = 15

(2/3)x - (1/6)y = 6

Multiply the equation 1 by 2/3, then we have

(2/3) · 3x - (2/3) · (1/4)y = (2/3) · 15

x - (1/6)y = 10

Multiply the equation 2 by -1, then we have

(-1) · (2/3)x - (-1) · (1/6)y = (-1) · 6

- (2/3) x + (1/6)y = - 6

Multiply the first equation by 2/3 and the second equation by -1.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ3

Answer:

67/100

Step-by-step explanation:

Find common denominators, note that what you do to the denominator, you must do to the numerator.

The common denominator is 100:

(3/10)(10/10) = (3 * 10)/(10 * 10) = 30/100

Add:

37/100 + 30/100 = 67/100

67/100 is your answer.

~

Answer:

67/100

Step-by-step explanation:

37/100+3/10

Get a common denominator

37/100 + 3/10 *10/10

37/100+30/100

67/100

Answer:  Q(x) = x² - 4x + 2

Step-by-step explanation:

P(x) · Q(x) = R(x)   ⇒   Q(x) = R(x)/P(x)

R(x) = x³ - 2x² - 6x + 4     ÷     P(x) = x + 2

I will use synthetic division (but you can also use long division).

-2 |  1     -2     -6     4  

    |  ↓    -2       8    -4  

       1    -4       2      0   ← remainder

The reduced polynomial is: x² - 4x + 2

Answer:

304 miles

Step-by-step explanation:

Distance = rate times time

changing 4 hours 45 minutes to decimal form

4 45/60 = 4.75

D = 64 mph * 4.75

   =304 miles

Answer: 6 + 3 = 9

Step-by-step explanation:

5.5 does not equal to 20

Answer: 72 arrangements

Step-by-step explanation:

The books are:

Statistics,  calculus, geometry, algebra, and trigonometry.

So we have 5 books.

We want that algebra and trigonometry are not together.

Suppose that we have 5 positions:

Now, we can start with algebra in the first position.

Now, we have 3 positions for trigonometry (3rd, 4th and 5th).

Now, once those two books are in position, we have 3 other positions and 3 other books, so for the first selection we have 3 options, for the second position we have 2 options, and for the last option we have 1 option.

The number of combinations is equal to the number of options in each selection:

3*(3*2*1) = 18

Now, if Algebra is in the second place, then for trigonometry we have only 2 possible options (4th and 5th)

and for the other 3 books again we have 3*2*1 combinations:

the total number of combinations is:

2*(3*2*1) = 12

If algebra is in the 3rd position, trigonometry has 2 options (1st and 5th)

For the other 3 books, we have 3*2*1 combinations.

The total number of combinations is:

(3*2*1)*2 = 12

in the fourth position is the same as the second position, so here we have again 12 combinations.

For the fifth position is the same as for the first position, so we have 18 combinations.

The total number of combinations is:

C = 18 + 12 +12 +12 +18 = 72

-- This is a right triangle. So you KNOW that

(one leg)² + (other leg)²  =  (hypotenuse)²

-- Also, since the acute angles are equal, the legs must be equal ... both x .

-- Plugging into the formula:

x² + x² = (4)²

2x²  =  (4)²

2x²  =  16

x²  =  8

√x²  =  √8

x  =  √8

x = √(4 · 2)

x = √4  ·  √2

x  =  2 · √2

(That's choice D)

Answer:

  4 blue fish for every 5 orange fish

Step-by-step explanation:

(orange fish) = (1 1/4)·(blue fish) . . . . . the given relation

(orange fish) = (5/4)·(blue fish) . . . . . write as improper fraction

(orange fish)/(blue fish) = 5/4  . . . . .  divide by "blue fish"

There are 4 blue fish for every 5 orange fish.

The tangent vector to r(t) at any t in the domain is

[tex]\mathbf T(t)=\dfrac{\mathrm d\mathbf r(t)}{\mathrm dt}=2\cos t\,\mathbf i-7\sin t\,\mathbf j[/tex]

At t = π/6, the tanget vector is

[tex]\mathbf T\left(\dfrac\pi6\right)=\sqrt3\,\mathbf i-\dfrac72\,\mathbf j[/tex]

To get the unit tangent, normalize this vector by dividing it by its magnitude:

[tex]\left\|\mathbf T\left(\dfrac\pi6\right)\right\|=\sqrt{(\sqrt3)^2+\left(-\dfrac72\right)^2}=\dfrac{\sqrt{61}}2[/tex]

So the unit tangent at the given point is

[tex]\dfrac{\mathbf T\left(\frac\pi6\right)}{\left\|\mathbf T\left(\frac\pi6\right)\right\|}=2\sqrt{\dfrac3{61}}\,\mathbf i-\dfrac7{\sqrt{61}}\,\mathbf j[/tex]

Applying derivatives, the tangent vector of unit length at the point given is:

[tex]r_{u}{\prime}(\frac{\pi}{6}) = \frac{2\sqrt{3}}{\sqrt{61}}i - \frac{7}{\sqrt{61}}j[/tex]

The vector function is:

[tex]r(t) = 2\sin{(t)}i + 7\cos{(t)}j[/tex]

The tangent vector is it's derivative, which is given by:

[tex]r^{\prime}(t) = 2\cos{(t)}i - 7\sin{(t)}j[/tex]

At point [tex]t = \frac{\pi}{6}[/tex], we have that:

[tex]r^{\prime}(\frac{\pi}{6}) = 2\cos{(\frac{\pi}{6})}i - 7\sin{(\frac{\pi}{6})}j[/tex]

[tex]r^{\prime}(\frac{\pi}{6}) = \frac{2\sqrt{3}}{2}i - \frac{7}{2}[/tex]

[tex]r^{\prime}(\frac{\pi}{6}) = \sqrt{3}i - \frac{7}{2}[/tex]

The norm of the vector is:

[tex]|r^{\prime}(\frac{\pi}{6})| = \sqrt{\sqrt{3}^2 + (-\frac{7}{2})^2}[/tex]

[tex]|r^{\prime}(\frac{\pi}{6})| = \sqrt{\frac{61}{4}}[/tex]

[tex]|r^{\prime}(\frac{\pi}{6})| = \frac{\sqrt{61}}{2}[/tex]

The unit vector is given by each component divided by the norm, thus:

[tex]r_{u}{\prime}(\frac{\pi}{6}) = \frac{\sqrt{3}}{\frac{\sqrt{61}}{2}}i - \frac{7}{2\frac{\sqrt{61}}{2}}j[/tex]

[tex]r_{u}{\prime}(\frac{\pi}{6}) = \frac{2\sqrt{3}}{\sqrt{61}}i - \frac{7}{\sqrt{61}}j[/tex]

A similar problem is given at https://brainly.com/question/20733439

Answer:

0.9^10

Step-by-step explanation:

The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9

There are 10 questions  that are independent from each other .

The probability to be answered correctly is 0.9  each.  So the probability to answer correctly to all of them is

P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10

Answer:

Step-by-step explanation:

Rewrite the function f(x) = 8√x as y = 8√x.

To find the inverse function, do the following:

1) Interchange x and y.  We get x = 8√y

                                                                             x                        x^2

2) Solve this result for y:  (x/8) = √y  =>  y = ( -------- )^2, or y = ---------

                                                                             8                        64

Answer:  6x² + 11

Step-by-step explanation:

  24x³ - 54x²    +    44x - 99

=  6x²(4x - 9)     +    11(4x - 9)

=  (6x² + 11) (4x - 9)

This can be rewritten as: 4x(6x² + 11) - 9(6x² + 11)

This is the answer to your problem.

Answer:

Always true

Step-by-step explanation:

Trust me

Answer:

true

Step-by-step explanation:

Answer:

26 - 7(n-1)

Step-by-step explanation:

subtract n times 7 from the start value.

But if we want to call the first term n=1, we have to subtract 1 from n.

Answer:

C. x < 25 and x ≥ 0

Step-by-step explanation:

Fastest and easiest way to do this is to graph the inequality and find out the lines.

Answer:

The rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.

Step-by-step explanation:

Flying against the wind, the speed of the airplane is 750 miles per hour (3000/4), while flying with a downwind, its speed is 1500 miles per hour (7500/6). Therefore, the difference between the two speeds is 750 miles per hour, so since the distance traveled is the same, the midpoint between the two speeds is 375 miles per hour. Then, without wind, the plane would travel the same distances at a speed of 1125 miles per hour.

In conclusion, the rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.