what is the slope of the graph?

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°

Answer:

Step-by-step explanation:

a. f(5) = 5+7 = 12

b. f(-1) = -1+7 =6

c. f(-3) = -3+7 =4

Answer:

Proof below

Step-by-step explanation:

Trigonometric Identities

We'll prove that:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]

Recall:

[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]

[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]

Applying those definitions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]

Adding the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]

Dividing the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]

Simplifying:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]

Hence proved

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

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AOBC is a parallelogram ,

Thus :

[tex]OA = BC = a[/tex]

And ;

[tex]AC = OB = b [/tex]

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M is the midpoint of AC ,

So :

[tex]AM = MC = \frac{b}{2} \\ [/tex]

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According to case of Cosine in ∆ OAM :

[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]

So :

[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]

[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]

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I have something more to tell.

Just for know more...

According to the case of Sine in ∆ OAM :

[tex] \frac{OM}{ sin(A) } = \frac{

AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]

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Answer:

$1015

Step-by-step explanation:

280 divided by 2 140 times $7.25 is $1015

The amount of money that the store lose by giving away the free tubes of paint is $1015.

Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.

Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:

= 140 × $7.25

= $1015

Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.

Read related link on:

https://brainly.com/question/18874560

Answer: 15w

Step-by-step explanation:

Answer:

School Y = 4 points

School X = 12 points

Step-by-step explanation:

school x=school y+8

school x=3 school y

x=y+8

x=3y

3y=y+8

2y=8

y=4

x=12

9514 1404 393

Answer:

  Each strawberry contains 4 calories

Step-by-step explanation:

The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.

Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

  Each strawberry contains 4 calories

Answer:

its 4 calories, A

Step-by-step explanation:

i just got it right on edge

Answer:

B. 1/2

Step-by-step explanation:

You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.

1/2 inch : 1 week

1/2

I Hope That This Helps! :)

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[tex]BA = BC = 12[/tex]

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[tex]AC = BA + BC[/tex]

[tex]AC = 12 + 12[/tex]

[tex]AC = 24[/tex]

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[tex]angle \: 2 \: = angle \: 5[/tex]

[tex]3x - 20 = x + 20[/tex]

Add sides 20

[tex]3x - 20 + 20 = x + 20 + 20[/tex]

[tex]3x = x + 40[/tex]

Subtract sides x

[tex] - x + 3x = - x + x + 40[/tex]

[tex]2x = 40[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]

[tex]x = 20[/tex]

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Answer:

z=0

Step-by-step explanation:

if the equation was 1/4(3z)7=-1z

Answer:

 17 rides

Step-by-step explanation:

30-8=22

22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17

x= -8

Step-by-step explanation:

3x + 6 = 2(x-1)

3x + 6 = 2x - 2

3x - 2x = -2 -6

x = -8

Answer:

Step-by-step explanation:

We can use the markdown formula to solve this question because it is the same type of problem.

= R x P

1. = 500 x 0.04

= 20

2. 500 - 20

= 480

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Key: R = Percentage Rate P = Original Price

Answer:

2,322,775

Step-by-step explanation:

[tex] a_1=4\\\\

a_i=a_{i-1}+11\\\\

\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\

d = a_2-a_1 \\d= 15-4 \\d= 11\\\\

S_{650}=?\\\\

\implies n = 650\\\\[/tex]

By the formula of sum of an Arithmetic Sequence

[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\

S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\

S_{650}= 325 [8+649\times 11]\\\\

S_{650}= 325 [8+7,139]\\\\

S_{650}= 325\times 7,147\\\\

\huge \red {\boxed {S_{650}=2,322,775}} [/tex]

Answer:

67.5

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90

Answer:

Note. There is a mismatch between the graph and the equation

------------------------------

------------------------------

If we go by the equation, then:

Answer:

slope(m)=change in y/change in x

-7=y-(-2)/x-(-7)

-7=y+2/x+7

-7(x+7)=y+2

-7x-49=y+2

-7x-49-2=y

-7x-51=y (B)

Answer:

4x+148

Step-by-step explanation:

Let the temperature be x and time taken by cricket to chirp be y

if when it is about 68°F, crickets chirp 124 times a minute, this means;

at x1 = 68, y1 = 124

If it is about 80°F, they chirp 172 times a minute, then;

at x2 = 80, y2 = 172

The standard form of equation in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line.

First we need to get the slope.

m = y2-y1/x2-x1

m = 172-124/80-68

m = 48/12

m =4

Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)

get the intercept c

124 = 4(68) + c

c = 272-124

c = 148

The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39

Answer:

$220.88

Step-by-step explanation:

Answer:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

Step-by-step explanation:

Doing this problem correctly requires the application of "order of operations" rules.  "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your

x^2 plus 2y divided by 2x

comes out to:

(x^2 plus 2y")

--------------------

         2x

If we now divide this result by "2x plus 3z," we get:

  (x^2 plus 2y")

  --------------------

            2x

================

      2x + 3

or:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

Answer:

Step-by-step explanation:

Given

A metal block has a mass = 60kg

volume = 0.5 meter cube

Solution

Density=masala volume

Density=60/0.5

Density of the metal=120kg/m^3