A line has slope Four-thirds. Through which two points could this line pass? a. (24, 19), (8, 10) b. (10, 8), (16, 0) c. (28, 10), (22, 2) d. (4, 20), (0, 17) Please select the best answer from the choices provided A B C D

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Answer:

  30 grams

Step-by-step explanation:

The time 120 seconds is 4 times the half-life of 30 seconds. That means (1/2)^4 = 1/16 of the original amount will remain. That is (480 g)(1/16) = 30 g.

  30 g of the radioactive rhodium will be left

Answer:

[tex]t - 3.2 \le 7.5\\[/tex]

Step-by-step explanation:

Given

Represent as inequality

Taking the statement one at a time

So, the inequality is:

[tex]t - 3.2 \le 7.5\\[/tex]

Answer:

Step-by-step explanation:

Rhode Island Red chicks = 3.20 Dollars

Buckeye chicks = 3.44 Dollars

For every3 times as 3.44 Dollars, The farmer buys 4 times as 3.20 Dollars so simply Multiply until you reach 70 S0..

3.44 x 3

= 10.32

3.20 x 4

= 12.8

With 7 chicks, combine the prices of the chicks and multiply it by 10.

= 12.8 + 10.32

= 23.12

= 23.12 x 10

= 231.2

So 231.2 Dollars were spent for 70 chicks`in total.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The total cost of farmers' chicks is $231.2

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

Total chicks = 70

4 Rhode Island Red chicks = 3 Buckeye chicks.

Multiply 10 on both sides.

40 Rhode Island Red chicks = 30 Buckeye chicks.

We see that,

40 + 30 = 70

Now,

Rhode Island Red chicks cost = $3.20

Buckeye chicks cost = $3.44

Now,

= 40 x 3.20 + 30 x 3.44

= 128 + 103.2

= $231.2

Thus,

The total cost of farmers' chicks is $231.2

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Answer:

12 / 15

Step-by-step explanation:

4/5 = x /15

15 / 5 = 3

So multiply both numerator and denominator by 3

4/5 * 3/3 = 12 / 15

If my answer is incorrect, pls correct me!

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-Chetan K

To get this fraction, we multiply top and bottom by 3

4*3 = 12

5*3 = 15

We get the value 3 through trial and error, or you can note how 15/5 = 3.

9514 1404 393

Answer:

  positive

Step-by-step explanation:

When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.

If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.

__

Additional comment

Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.

Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.

Answer:

what's the question???

Answer:

x = 3.721

Step-by-step explanation:

Since, the triangle is right triangle, we can use trignometery equations ;

In this case, we need to use tangent equation in perpendicular :

tan θ = opposite side / adjacent side

Where , we've

tan 28 ° = x / 7

7 × tan 28 ° = 7 × x / 7 ..( Multiply each side by 7 )

7 × tan28° = x

Rewrite

x = 7 tan ×28°

multiply to get

x = 7 × 0.531709432

x = 3.72196602

Answer:

of what............? you did not finish the question ⁉️

Answer:

[tex]{ \tt{area = (7 \times 10) + (12 \times 4) + (5 \times 5)}} \\ { \tt{ = 70 + 48 + 25}} \\ { \tt{ = 143 \: {in}^{2} }}[/tex]

Answer: break into 2 rect and 1 sqr the sum areas of each

Step-by-step explanation: square = 5x5

Rectangle 1 = 10x7

Rectangle 2 = 12x4

Sum each shape area = total area

Answer:

Step-by-step explanation:

The equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.

Given that, the perimeter of the bookend is 58 centimeters.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Now, the perimeter is

5m-14+2m-7+3/2 m+2+3m+8=58

⇒ 10m+3/2 m-11=58

⇒ (20m+3m)/2=69

⇒ 23m=138

⇒ m=138/23

⇒ m=6

Therefore, the equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.

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Answer:

D. 30

Step-by-step explanation:

f²+g² = (f+g)²-2fg

= 54-24 = 30

Answer:

0.654

Step-by-step explanation:

There are 12 sweets in a bag.

4 are lemon flavour.

4 are caramel flavour.

4 are orange flavour.

Jude takes at random 3 sweets at the same time.

Work out the probability that exactly 2 of the sweets are the same flavour.

Probability = Required outcome / Total possible outcomes

Required outcome = either exactly 2 of lemon or 2 of caramel or 2 of Orange

Required outcome = 3[4C2 * 8C1) = 3(6*8) = 144

Total possible outcomes = 12C3 = 220

P(exactly 2 are same flavor) = 144 / 220 = 0.654

Answer:

22.3 minutes

Step-by-step explanation:

The computation of the travel time is as follows:

Given that

[tex]\mu[/tex] = 17

And, the standard deviation is 4.5

P(X≤C) = 0.88

P( x - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] ≤  (C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 0.88

(C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 1.175

c = [tex]\mu[/tex] +  1.175 × [tex]\sigma[/tex]

= 17 + 1.175 × 4.5

= 22.3 minutes

Hence, the travel time is 22.3 minutes

I found this answer from Brainly.

Somebody else did this question.

**But it's not my answer**

I hope it's helpful and correct!!

(1/2x +3)²

Refer to the above picture for complete calculation...

Answer:

Step-by-step explanation:

1/4 x^2 + 3x + 9

Answer: (1/2x + 3)^2

Now we have to explain it.

If it is going to be a binomial squared then it will be the square root of the first term and the square root of the third term.

[tex](\frac{\sqrt{1} }{\sqrt{4} } + \sqrt{9})^2[/tex]

[tex](\frac{1}{2}+3)^2[/tex]

Answer:

10.5

Step-by-step explanation:

built different

Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel.  5.5 is the the length of Line segment G D.

A triangle is a polygon that has three vertices on each of its three sides. The point shaped inside the triangle is equivalent to 180 degrees. It implies that the amount of the inside points of a triangle is equivalent to 180°. This is a polygon with the fewest sides.

To put it another way, a triangle is a two-dimensional figure with three sides and interior angles of 180 degrees. Six main types of triangles are distinguished by their angles and side lengths. Allow us to examine exhaustively about the six kinds of triangles. In light of the length of the sides, the triangle is arranged

EG / GD = FH / HD

6 / GD  = 8 / 2

GD = 22 / 4

GD  = 5.5

Therefore, 5.5 is the the length of Line segment G D.

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Answer:

n = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify + set up

8n + 4 = 4 · 13

Step 2: Solve for x

Answer:

-2.76

-2.57

-2.5

-1.85

-1.58

2.5

2.85

Hopefully this is what you mean. Have a nice day!

Step-by-step explanation:

Answer: 139.65 or 25.34.

Step-by-step explanation:

The revenue function will be:

= Price × Quantity

= P × (7,000 - 50p)

= 7000p - 50p²

The coat function is given as:

C = 2,000 + 25q

C = 2000 + 25(7000 - 50p)

C = 2000 + 175000 - 1250p

C = 177000 - 1250p

Then, we'll equate the revenue function to the cost function. This will be:

7000p - 50p² = 177000 - 1250p

-50p² + 7000p + 1250p - 177000 = 0

-50p² + 8250p - 177000 = 0

Divide through by -50

p² - 165 + 3540 = 0

Solving to get the value of P will then give us 139.65 or 25.34.

Answer:

x = -5/2

Step-by-step explanation:

From the quadratic equation

the axis of symmetry for quadratics of the form

y = ax² + bx + c is

x = -b/2a

x² + 5x + 9

x = -5/2

1.)

A) BME

B) MER

C) Mm

D) xBy

E) Straight

F) REB

G) MEB and BER

H) xBy

9514 1404 393

Answer:

  A.  15x +14y = -36

Step-by-step explanation:

Since we are given two points, we can start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (6 -(-9))/(-8 -6)(x -6) +(-9)

  y = 15/-14(x -6) -9

Multiplying by -14, we have ...

  -14y = 15x -90 +126

Adding 14y-36 to both sides gives ...

  -36 = 15x +14y . . . . matches choice A

The standard-form equation is ...

  15x +14y = -36

_____

Additional comments

It can be easier to start with the form ...

  (Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1

This gives ...

  (6+9)x -(-8-6)y = 15(6) +14(-9)

  15x +14y = -36 . . . simplified

__

You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.

9514 1404 393

Answer:

  A.  18

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

Here, the parallel bases have lengths 3 and 9. The height is 3, so the area is ...

  A = 1/2(3 +9)(3) = 18

The area of the trapezoid is 18 square units.

Answer:

A. A closed plane figure made up of line segments

Step-by-step explanation:

Answer:

A closed plane figure made up of line segments

Answer:

C

Step-by-step explanation:

Answer:c

Step-by-step explanation:the answers we’ll change we careful

Answers:

[tex]\text{OA} = \cos(\alpha)\\\\\text{AB} = \sin(\alpha)\\\\\text{DC} = \tan(\alpha)\\\\[/tex]

You can use the word "alpha" without quotes in place of the symbol [tex]\alpha[/tex] if you want (though it will depend if your teacher allows it of course).

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

Explanation:

Focus entirely on triangle AOB.

With respect to reference angle alpha (symbol [tex]\alpha[/tex]), the side OA is the adjacent side since it's the leg closest to or touching the reference angle.

In this same triangle, side OB is the hypotenuse. Because its the radius of the unit circle, we know that OB = 1.

We'll use the cosine rule to connect the adjacent over hypotenuse like so

[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\alpha) = \frac{\text{OA}}{\text{OB}}\\\\\cos(\alpha) = \frac{\text{OA}}{1}\\\\\text{OA} = \cos(\alpha)\\\\[/tex]

So you'll type either [tex]\cos(\alpha)[/tex] or cos(alpha) into the box for OA.

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

We're still working with triangle AOB only.

Side AB is the opposite side with respect to reference angle alpha.

We can say

sin(angle) = opposite/hypotenuse

sin(alpha) = AB/OB

sin(alpha) = AB/1

AB = sin(alpha)

Basically it's almost identical to the previous section's steps, but we're using sine instead of cosine this time. Like before, you can type in either [tex]\sin(\alpha)[/tex] or sin(alpha) depending on your teacher's preferences.

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

This next section can be a bit tricky.

Sides AB and DC are parallel due to them being both vertical. We can use the AA (angle angle) similarity theorem to prove triangle BOA is similar to triangle DOC. The order of the letters is important. The order helps us see how the sides pair up, or how they correspond, so we can form the correct proportion.

The vertical sides of the triangles are AB and DC as mentioned earlier, so they form one fraction AB/DC. I'm dividing small over big.

Another fraction we can form is OA/OC which is dividing the horizontal legs (again small/big).

Overall, due to the similar triangles, we can set up this equation

AB/DC = OA/OC

We'll plug in what we found earlier. Also, OC = 1 because it's another radius of the same unit circle.

Lets solve for side DC.

AB/DC = OA/OC

sin(alpha)/DC= cos(alpha)/1

sin(alpha)*1 = DC*cos(alpha)

DC = sin(alpha)/cos(alpha)

DC = tan(alpha)

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

In summary, segments OA, AB and OC represent the cosine, sine and tangent of the reference angle alpha. These are visual ways to see how the trig ratios correspond to lengths of triangles when connecting them to the unit circle like this.

Side notes:

Answer:

Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.

Step-by-step explanation:

x-intercepts of a function:

The x-intercepts of a function are the values of x for which f(x) = 0.

In this question:

[tex]f(x) = x^2 - 9[/tex]

x-intercepts:

[tex]x^2 - 9 = 0[/tex]

[tex]x^2 = 9[/tex]

[tex]x = \pm \sqrt{9}[/tex]

[tex]x = \pm 3[/tex]

Jenn:

Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.

Answer:

48.6

Step-by-step explanation:

Given the equation for the line of best fit ; f(x) ≈ 1.8x − 5.4 ;

This equation is used to make prediction for any given value of x ; Here, we are to make prediction for when x = 30

f(x) ≈ 1.8x − 5.4 ; we substitute into the equation, x = 30

f(30) = 1.8(30) - 5.4

f(30) = 54 - 5.4 = 48.6

Prediction at x = 30 is 48.6

Answer:

It would result in a constant line of [tex]y=3[/tex].

Step-by-step explanation:

[tex]f(x)=2x+1[/tex]

[tex]f(1)=2(1)+1[/tex]

[tex]f(1)=2+1[/tex]

[tex]f(1)=3[/tex]

[tex]y=3[/tex]

See the graph for a visual.