Select the algebra tiles that correctly model the problem.
three less than a number

Answer:

8.9 cm to 1 dec. place.

Step-by-step explanation:

First, use Pythagoras to find the length of BD.

BD^2 = 6^2 + 7^2 = 85

BD = √85.

BM = √85 / 2.

Consider the triangle TBM, by Pythagoras:

TB^2 = BM^2 + MT^2

MT^2 = 10^2 - (√85 / 2  )^2

= 100 - 21.25

= 78.75.

MT = 8.874

Answer: Exponential decay model:

y

=

x

(

1

−

r

)

t

, half life of tablet is about

2

hours and after

t

=

3

hours , remaining drug on patient's system is

42.875

mg.

Step-by-step explanation: Initial drug

x

=

125

mg ; rate of decay

r

=

30

100

=

0.3

gm/hour

Exponential model:

y

=

x

(

1

−

r

)

t

=

125

(

1

−

0.3

)

t

=

125

⋅

0.7

t

Half life:

y

=

125

2

=

62.5

mg

∴

62.5

=

125

⋅

0.7

t

or

0.7

t

=

1

2

. Taking logarithm on both sides we get ,

t

log

(

0.7

)

=

log

(

0.5

)

∴

t

=

log

(

0.5

)

log

(

0.7

)

≈

1.94

(

2

d

p

)

hour

The half life of tablet is about

2

hours.

After

t

=

3

hours , remaining drug on patient's system is

y

=

125

⋅

0.7

t

=

125

⋅

0.7

3

=

42.875

mg [Ans]

Answer:B

Step-by-step explanation:

20/5 = 4

4 x 3 =12

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction

The perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s

To find the perimeter of any figure, add all the side lengths of the figure together.

Thus, the given side lengths of the figure are:

p, p, q, q, r, r, s, s, s, and s.

To find the perimeter add them together.

Perimeter of the figure = p + p + q + q + r + r + s + s + s + s

Perimeter = 2p + 2q + 2r + 4s

Therefore, the perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s

Learn more about perimeter on:

https://brainly.com/question/24382052

The equation of the ellipse and the equation of the hyperbola can be

derived from the given information and the general form of the equations.

[tex]Part \, A: The \ equation \ of \ the \ ellipse \ is; \displaystyle \frac{x^2}{3^2} + \frac{y^2}{4^2} = 1[/tex]

[tex]Part \, B: The \ equation \ of \ the \ hyperbola \ is; \displaystyle \frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1[/tex]

Part C: The domain of the ellipse is; [-3, 3]

The domain of the hyperbola is; (-∞, -4]

Reasons:

Part A: The center of the ellipse = At the origin;

The vertical major axis = 8 units

The minor axis = 6 units

The general equation for an ellipse is presented as follows;

[tex]\displaystyle \frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]

Where;

[tex]\displaystyle a = The \ \mathbf{ semi \ major \ axis} = \frac{8}{2} = 4[/tex]

[tex]\displaystyle b = The \ semi \ \mathbf{ minor} \ axis = \frac{6}{2} = 3[/tex]

The equation of the ellipse is therefore;

Part B: center of the hyperbola = The origin

The transverse axis = Horizontal

The vertex of the hyperbola = (-4, 0)

[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{ \pm\frac{7}{4} \cdot x}[/tex]

The general equation of an hyperbola is presented as follows;

[tex]\displaystyle \mathbf{\frac{x^2}{a^2} - \frac{y^2}{b^2}} = 1[/tex]

[tex]\displaystyle The \ asymptote \ are; \ y = \mathbf{\pm\frac{b}{a} \cdot x}[/tex]

The vertices = (a, 0), (-a, 0)

Therefore, by comparison, we have;

a = -4

b = -7

Which gives the equation of the hyperbola as follows;

The above equation can be written as follows;

[tex]\displaystyle \frac{x^2}{(4)^2} - \frac{y^2}{(7)^2} = 1[/tex]

Part C: Given that both equations are equal, we have;

The covertices of the ellipse are; (-3, 0) and (3, 0)

The domain of the ellipse = [-3, 3]

The domain of the hyperbola = x < The negative vertex

∴ The domain of the hyperbola = x < -4 = (-∞, -4]

Learn more about ellipse and hyperbola here:

https://brainly.com/question/17193351

https://brainly.com/question/8957529

according to defination of collinear points :Three or more points are said to be collinear if they all lie on the same straight line.

therefore, A,B,C points are collinear.

Answer:

Step-by-step explanationcvm

Answer:

25

25+1.25x

Step-by-step explanation:

At least you got an actual answer this time hope this helps

Step-by-step explanation:

Use the slope formula

Taking two points on the line:

(0,3) and (-5,0)

3-0/0+5

You will get: 3/5 as your slope

The y-intercept is (0,3)

Therefore:

y = 3/5x + 3

Answer:

x<2

Step-by-step explanation:

#CARRYONLEARNING

..LOVEUALL...

Answer:

The answer is in the screenshot.

Step-by-step explanation:

Answer:

brainly

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

divide or multiply by 5 to get 30

Answer:

??????????????????????

Answer : The watermelon weighs more

Step - by - step explanation :

First do . . . what is 7.5 kilograms into pounds ? 16.5347 ( rounded is 17 pounds )

Second compare . . . 17 > 12

Hope this helped ! :D

Answer:

y=6x

Step-by-step explanation:

Each value for y is can be divided by 6 for the value of x

Answer:

y=6x

Step-by-step explanation:

Answer:

≈ 0.35

Step-by-step explanation:

First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :

[tex]\sqrt{8}[/tex] ≈ 2.83

[tex]\frac{1}{8}[/tex] = 0.125

Now multiply them as shown in the original equation:

0.125 x 2.83 = 0.35375 ≈ 0.35

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

-1 or 1.

Step-by-step explanation:i hope thats what your looking for.

Answer:

4.8

Step-by-step explanation:

6/55= ~0.109

0.109*44=4.8

Answer:

19

Step-by-step explanation:

Answer:

Question:which polynomial function in factored form represents the given graph below?

Answer:If a polynomial of lowest degree p has zeros at x=x1,x2,…,xn x = x 1 , x 2 , … , x n , then the polynomial can be written in the factored form: f(x)=a(x−x1)p1(x−x2)p2⋯(x−xn)pn f ( x ) = a ( x − x 1 ) p 1 ( x − x 2 ) p 2 ⋯ ( x − x n ) p n where the powers pi on each factor can be determined by the behavior of the graph

Step-by-step explanation:

CARRY ON LEARNING

BRAINLILEST NA LANG KUNG TAMA SALAMAT

Answer:

Answer: 855

Step-by-step explanation:

I take it you want the total number of fruit? You should state the question. I will assume I am correct.

So 25% of 60 baskets = 25/100 * 60 = 15 baskets.

Each basic contains 12 pieces of fruits                     12 * 15 = 180

And 75% of 60 baskets = 0.75 * 60 = 45 baskets.

Each contains 15 pieces                                            45 * 15 = 675

The total number of fruit in all is                                              855

Answer:

y=-12x-1

Step-by-step explanation:

Answer:

Not too sure, but maybe this is what you need.

(Students = S, Adults = A) So, Ax + Sy = 266?

Or

x10 + y7 = $266

Step-by-step explanation:

I think the second one is the most accurate one, ignore the first equation. T^T

Answer: The answer is 3x^2 - 7x + 7 = 0.

Answer: (0,-5) or just -5

Step-by-step explanation:

gradient = change in y/change in x = (-7+15)/(1-5) = -2

y = -2x + c

-7 = -2 x 1 + c

c = -7 + 2 = -5

y intercept is (0, -5)

Answer:

x = 5

Step-by-step explanation:

6x + 20 = 10x

I hope this helps!

Answer:

Step-by-step explanation:

"The quotient of a number and -1.5 is 21."

Let X be the "number."

X/-1.5 = 21

X = -1.5*(21)

X = - 31.5