What is the gradient of the graph shown?
Give your answer in its simplest form.

Answer:

  45°

Step-by-step explanation:

  θ = arctan(1) = 45°

__

Make sure your calculator is in degrees mode.

_____

Additional comment

The tan⁻¹( ) function is the inverse tangent function. It can be read as "arctangent of ..." or "the angle whose tangent is ...". In spreadsheets and some calculators, it comes in two flavors: ATAN(x) and ATAN2(x, y). The latter is useful for finding the angle associated with a vector whose components are known, and that can be in any of the four quadrants.

Calculators will give an angle in degrees or radians according to the mode that is set. Spreadsheets always give the angle in radians. The range of a calculator tan⁻¹( ) or ATAN( ) function is -π/2 to π/2 radians, or -90° to 90°.

Answer:

y=-1x-6

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

Answer: A. positive relationship

Step-by-step explanation:

The scatter plot seems to be slanting up from the left to the right.

Correct me if I am incorrect.

Answer:

  x = 1/3

Step-by-step explanation:

Both bases can be written as powers of 6.

  36^x = (1/6)^(x-1) . . . . . . given

  (6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6

  6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents

  2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base

  3x = 1 . . . . . . . add x

  x = 1/3 . . . . . divide by 3

Answer:

Hello again! Fellow Connexus user? Because I just had this on my Honors Algebra 1 test today. Anyways the answer is: A. x + y = 126 and 2.25x + 1.50y = 225.75; 49 Hot Dogs and 77 Sodas.

Step By Step Explanation:

To verify just use the substitution method to solve the equations x+y=126 and 2.25x + 1.50y = 225.75 then you'll get your x (Number of Hotdogs) and y (Number of Sodas)

Hope this helps!

The required equations are use to solve this problem;

[tex]x + y =126[/tex]

[tex]2.25x + 1.50y = 223.75[/tex]

There are x = 49 hot dogs, and y = 77 sodas were sold.

Given that,

Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

You sold a total of 126 hot dogs and sodas combined.

We have to determine,

What equations did you use to solve this.

And How many hot dogs were sold and how many sodas were sold.

According to the question,

Let, The x represent the number of hot dogs,

And y represent the number of sodas.

Then,

You sold a total of 126 hot dogs and sodas combined.

Number of sell hot dogs + number of sell sodas = Total of hot dogs and sodas combined.

[tex]x + y =126[/tex]

And Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

Then,

Cost of each hot dogs + cost of each soda = total earning end of the night

[tex]2.25x + 1.50y = 223.75[/tex]

On solving both the equation,

[tex]x + y = 126\\\\x = 126-y[/tex]

Substitute the value of x in the equation 2,

[tex]=2.25(126-y) + 1.50y = 225.75\\\\= 283.5 -2.25y + 1.50y = 225.75\\\\= - 0.75 y = 225.75 - 283.5\\\\= - 0.75y = -57.75\\\\= y = \dfrac{-57.75}{-0.75}\\\\= y = 77[/tex]

Then,

Substitute the value of y in the equation 1,

[tex]x + y = 126\\\\x + 77 = 126\\\\x = 126-77\\\\x = 49[/tex]

Hence, There are x = 49 hot dogs, and y = 77 sodas were sold.

To know more about the Equation click the link given below.

https://brainly.com/question/24070713

Answer:

The slope of the line that passes through the points would be 0

Step-by-step explanation:

Lets use the formula : y2-y1/x2-x1

In this case lets let y2 be -8 and y1 be -8

And lets let x2 be 6 and x1 be 10, that would look like..

-8-(-8)/6-10

which equals...

0/-4 = 0

We know that the slope of the line is 0

Answer:

  A

Step-by-step explanation:

If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...

  15 = x +8   ⇒   x = 7 . . . . long sides equal length

and ...

  x +2 = 2x -5 . . . . . short sides equal length

  7 = x . . . . . . . . . . add 5-x

The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.

Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.

Answer:

t=6.8

Step-by-step explanation:

t=2.01[squareroot(L)]

L=11.56

t=2.01[squareroot(11.56)]

t=2.01(3.4)

t=6.834

(round to nearest tenth)

t=6.8

Answer:

7

6

3

1

1

because first they go down by three then one

Answer:

7

6

3

1

1

Step-by-step explanation:

Answer:

Brett, Riley, Ellema, Jennifer, Kamal, Felipe

Step-by-step explanation:

You have put their scores least to greatest, -7<-5<-1<0<1<2<3

11 miles far does the boat travel

Step-by-step explanation:

hope it helps

The total distance travelled will be 22 miles and the bearing will be 60.89° .

It is given that a boat travels from port town to north for 7.4 miles and then east for 3.6 miles and stops at destination.

We have to find out the total distance travelled and bearing from stopped position.

What are bearings ?

A bearing is the angle in degrees measured clockwise from north i.e., 30° from north.

As per the question ;

Boat travels from port town to north for 7.4 miles and then east for 3.6 miles and it then stops at destination.

So ;

a)

Total distance travelled from port town to destination is ;

= 7.4 miles + 3.6 miles

= 11 miles

And

If boat's captain turns back to town , then total distance will be ;

= 11 + 11

= 22 miles

b)

We know that ;

cos θ = B/H

The bearing would be ;

cos θ = [tex]\frac{3.6}{7.4}[/tex]

cos θ = 0.486

θ = [tex]cos^{-1}[/tex] (0.486)

θ = 60.89°

Thus , the total distance travelled will be 22 miles and the bearing will be 60.89° .

To learn more about bearings click here ;

https://brainly.com/question/22979538

#SPJ2

45 - 4 =41 and x is 20.5 or 20 1/2

Answer:

2878045.500 cubed metres

Step-by-step explanation:

volume = 1/3* pie* r*r*h

= 1/3 *3.14*165*165*101

=2878045.5 cubed metres

i hope it's helpful

Answer:

The answer is number 3.

Step-by-step explanation:

-15 - 8 = -23

12 + 11 = 23

When you subtract -23 from 23 you have a sum of 0

Therefore the answer is 0

Answer:

600

Step-by-step explanation:

V = s×s×s = s³

V = 10×10×10 =1,000

Surface area

6a² = 6(10²) =600

Answer:

Step-by-step explanation:

Expected growth =  0.15*85 + 0.20 *20 + 0.45*10+0.20 * -20

= 17.25%.

Answer:

15 times there will be a blue and purple flag in the same spot

Step-by-step explanation:

300 miles / 10 miles = 30 blue flags in total

300 miles / 20 miles = 15 purple flags in total

There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.

I have attatched a demonstration of my thoughts to this post.

The first graph shows a system of equations that has a unique solution because the two linear graphs have a single point of intersection.

The second graph shows a system of equations with no solutions. This is because the two graphs are parallel to each other, and have no point of intersection.

The third graph has two linear equations that coincide at every point. This makes this system to have an infinite number of solutions.

The fourth graph shows two linear functions having a single point of intersection. This particular system of equations has a unique solution.

Learn more about graphs of linear equations here: https://brainly.com/question/370278

Answer:

20 which is twenty

Step-by-step explanation:

searched it up on chrome

Your Answer Is : - 31xz + 16xy - 9yz

Answer:

63°

Step-by-step explanation:

Angle 2 is congruent in angle that has 63°

Refer to the attached pic

Answer:

no solution ?

Step-by-step explanation:

Answer:

Infinitely many solutions because the system of equations are the exact same.

Answer:

[tex]x=-345[/tex]

Step-by-step explanation:

[tex]2.3+0.02\left(x+20\right)-4.8=-9[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]

[tex]2.3\cdot \:100+0.02\left(x+20\right)\cdot \:100-4.8\cdot \:100=-9\cdot \:100[/tex]

[tex]230+2\left(x+20\right)-480=-900[/tex]

[tex]\mathrm{Subtract\:}230-480\mathrm{\:from\:both\:sides}[/tex]

[tex]230+2\left(x+20\right)-480-\left(230-480\right)=-900-\left(230-480\right)[/tex]

[tex]2\left(x+20\right)=-650[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2\left(x+20\right)}{2}=\frac{-650}{2}[/tex]

[tex]x+20=-325[/tex]

[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}[/tex]

[tex]x+20-20=-325-20[/tex]

[tex]\bold{x=-345}[/tex]

Answer:

The 16 ounces at 1.76.

Step-by-step explanation:

Divide total cost by the quantity to get cost per unit.

Ounces Cost Cost/Ounce

60      5.40          0.09  

28      2.24          0.08  

16       1.76           0.11  

The score that is one and a half standard deviation is 182.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean, \sigma\ is\ standard \ deviation[/tex]

Given that:

μ = 140, σ = 28. For a z score of 1.5(one and a half):

[tex]1.5=\frac{x-140}{28} \\\\x-140=42\\\\x = 182[/tex]

The score that is one and a half standard deviation is 182.

Find out more at: https://brainly.com/question/7449180