Solve the inequality. graph the solution given below
2 < -y/5

Step-by-step explanation:

[tex]25,400,000[/tex]

Answer:

25,400,000

Step-by-step explanation:

Answer:

28 because 116÷4=29 so she traveled 28 miles per hour

Answer:

Sarah drove 29 miles per hour.

Step-by-step explanation:

116 divided by 4 is 29.

Answer:

5'9 ft

Step-by-step explanation:

He was built different

Answer: where's the heights?

Step-by-step explanation:

Answer:

I don't know what to look for

but area of sphere = 4πr²

4×π×12×12

576πmm³

volume of sphere= 4πr³

3

4/3π12×12

576/3π

= 192πmm³

Answer:

second choice is the answer or it can be

The correct answer is option B.

"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."

For given question,

Consider points A and B on the coordinate plane as shown in following image.

Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]

So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]

Let, AC = y, BC = -y and OC = m

Now, consider sine function

[tex]sin\theta=\frac{AC}{OA}\\[/tex]

⇒[tex]sin\theta=\frac{y}{r}[/tex]                        ........................(1)

And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]

⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]

⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex]             .......................(2)

⇒ [tex]sin(-\theta)=-sin\theta[/tex]             ......................(From (1) and (2))

Now, consider cosine function

[tex]cos\theta=\frac{OC}{OA}[/tex]

⇒ [tex]cos\theta=\frac{m}{r}[/tex]                           ...........................(3)

And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]

⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex]                      ...........................(4)

⇒ [tex]cos(-\theta)=cos\theta[/tex]                   ...........................(From (3), (4))

Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).

Therefore, the correct answer is option B.

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Answer:

the answer is c or 45pie Units

Step-by-step explanation:

The surface area of the right cone is,

⇒ SA = 45π units²

The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of cone (r) = 3 units

Slant height of cone (l) = 12 units

Now, We know that;

The formula that is used to calculate the surface area of a cone is;

⇒ SA = πrl + πr²

Hence, We can substitute all the values we get;

⇒ SA = πrl + πr²

⇒ SA = π × 3 × 12 + π × (3)²

⇒ SA = 36π + 9π

⇒ SA = 45π units²

Thus, The surface area of the right cone is,

⇒ SA = 45π units²

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Answer: 9b+12

Step-by-step explanation:

Combine the sets if like terms meaning

4+10-2

And 3b+6b

3b+6b= 9b

4+10-2= 12

Since only one has one variable they aren’t like terms and they can’t be combined leaving u with 9b+12

Answer:

The unit of measure used in the study is "inches"

Answer: [tex]\dfrac{1}{16}x^{-5}y^{-2}z^{4}[/tex]

Step-by-step explanation:

Given

Expression is [tex]\left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0[/tex]

using the Exponent property that is

[tex][(a)^b]^c=a^{b\cdot c}\\a^x\cdot a^y=a^{x+y}[/tex]

Applying the above property

[tex]\Rightarrow \left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0=4^{-2}x^{-2}y^{-6}z^{4}\cdot x^{-3}y^4z^0\\\\\Rightarrow \left(4xy^3z^{-2}\right)^{-2}\cdot x^{-3}y^4z^0=4^{-2}x^{-2-3}y^{-6+4}z^{4+0}\\\Rightarrow 4^{-2}x^{-5}y^{-2}z^{4}=\dfrac{1}{16}x^{-5}y^{-2}z^{4}[/tex]

Answer:

24 bottles per minute.

Step-by-step explanation:

We can see from the graph that the machine produced 24 bottles after one minute had passed. it made 48 when two minutes had passed and 72 after 3 minutes had passed. The number of bottles increases by 24 bottles every minute therefore the machine makes 24 bottles per minute.

Answer:

Wyzant

ALGEBRA WORD PROBLEM

Dorian S. asked • 06/28/17

THREE LINEAR EQUATIONS WITH THREE VARIABLES

A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 25%,

and the third contains 70%. He wants to use all three solutions to obtain a mixture of 40 liters containing 45%

acid, using 2 times as much of the 70% solution as the 25% solution. How many liters of each solution should be used?

How to set up as three linear equations to find the answer?

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1 Expert Answer

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Best

Arthur D. answered • 06/28/17

TUTOR 4.9 (67)

Forty Year Educator: Classroom, Summer School, Substitute, Tutor

ABOUT THIS TUTOR ›

set up 2 equations

the first equation...

15%*x+25%*y+70%*2y=45%*40

0.15x+0.25y+1.4y=0.45*40

0.15x+1.65y=18

multiply all terms by 100

15x+165y=1800

divide all terms by 15

x+11y=120

the second equation...

x+y+2y=40

x+3y=40

x=40-3y

substitute into the first equation x+11y=120

40-3y+11y=120

40+8y=120

8y=120-40

8y=80

y=80/8

y=10 liters

x+3*10=40

x+30=40

x=40-30

x=10 liters

10 liters of 15%, 10 liters of 25%, and 20 liters of 70%

check:

10*15%=1.5

10*25%=2.5

20*70%=14

1.5+2.5+14=18

18/40=9/20=45/100=45%

45%*40=18

hope it helps

please mark brainliest

Answer:

24

Step-by-step explanation:

( - 4 ) x ( - 6 ) = 24

24 is the answer.

Answer:

730

Step-by-step explanation:

2x365=730

Answer:

(3, -1)

Step-by-step explanation:

The solution of the equation are (3, -1) and (-7, -5).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation, 2x- 5y= 11.

To check each ordered pair is the solution of equation then we have put the value of x and y one by one in the given equation.

1. x =3 and y= -1

2(3)- 5(-1)

= 6 + 5

= 11

2. x= -7 and y=-5

= 2(-7) - 5(-5)

= -14 + 25

= 11

3. x= -9 and y= 4

= 2(-9)-5(4)

= -18 - 20

= -38

4. x = 4 and y= 2

= 2(4) - 5(2)

= 8 - 10

= -2

Thus, the solution of the equation are (3, -1) and (-7, -5).

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Answer:

Step-by-step explanation:

Answer:

There are 60 hockey cards (1/4 of 240)

Step-by-step explanation:

1/3 of 240 is 80

1/6 of 240 is 40

1/4 of 240 is 60

80+40+60 = 180

240 - 180 = 60

Answer:

look at the picture i have sent

The area of the shaded region is 192.325 m².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Outer radius = 21/2 = 10.5 m

Inner radius = 10.5 - 3.5 = 7 m

So, Area of shaded region

= π( R² - r²)

= 3.14 (10.5² - 7²)

= 3.14 (110.25 - 49)

= 192.325 m²

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Answer:

x = 78°

Step-by-step explanation:

m<P = 12°

Since PQ is tangent to the circle at point Q, therefore m<Q = 90° (tangent theorem)

x + m<P + m<Q = 180° (sum of triangle theorem)

Substitute

x + 12° + 90° = 180°

x + 102° = 180°

Subtract 102° from each side

x = 180° - 102°

x = 78°

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Answer:

x = 5

Step-by-step explanation:

Use the inverse variation equation, y = k/x

Plug in 7 as x and 15 as y, then solve for k:

y = k/x

15 = k/7

105 = k

So, the equation is y = 105/x

Find x when y = 21 by plugging in 21 as y:

y = 105/x

21 = 105/x

21x = 105

x = 5

So, when y = 21, x = 5

9514 1404 393

Answer:

  x = 0, x = 3

Step-by-step explanation:

It appears your equations are intended to be ...

  f(x) = (7/3)x -3

  g(x) = 2^x -4

These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.

The solutions to f(x) = g(x) are x ∈ {0, 3}.

Answer:

Step-by-step explanation:

2x-3 =-4x+3

6x = 6

x = 1

plug 1 into either eq. to see what  "y" you get

2(1) - 3 = -1

so

(1, -1 )

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

Explanation:

a31 means "the value in the third row, first column". That value is 7

As another example, a22 = 3 since 3 is in the second row, second column.

Another example: a12 = -1 because we're in the first row and second column.

This is a 3x2 matrix due to it having 3 rows and 2 columns.

Answer:

4.07

Step-by-step explanation:

The sample size is 12. The number of treatments is 4. Thus, the degrees of freedom associated with the sum of square error is 8 which is sample size minus number of treatments. The degree of freedom is 3 which is number of treatments minus 1. The theoretical F value is determined by entering the F table (pp.723-24) at 3 degrees of freedom for the numerator and 8 degrees of freedom for the denominator for the level of significance given which in this case is 0.05.

Answer:

b)   obtuse

Step-by-step explanation:

If this is a right triangle the hypotenuse would be

c² = 9² + 12²

c² = 81 + 144

c² = 225

c = √225

c = 15

Since the third side is 17 which is longer than 15

the triangle is obtuse

Answer:

obtuse

Step-by-step explanation:

Answer:

V = 168 km³

Step-by-step explanation:

We are given a triangle prism.

Volume of a triangle prism = ½*a*c*h

Where,

a = 8 km

c = 6 km

h = 7 km

Substitute

V = ½*8*6*7

V = 4*6*7

V = 168 km³