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2 years ago

Evaluate the following expression (2.3)-3(1,1)

Mathematics

2 answers:

inessss [21]2 years ago

5 0

Answer: (-1,0)

Step-by-step explanation:

i just took the quiz

uranmaximum [27]2 years ago

3 0

Answer:

2.3 - ( 3, 1)

Step-by-step explanation:

1) Simplify 3 × (1, 1) 3 × (1, 1) to 3× 1, 13 × 1,1.

2.3 - ( 3 × 1, 1 )

2) Simplify 3 × 1 to 3.

2.3 - ( 3, 1)

Therefor, the answer is 2.3 - ( 3, 1).

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A tree double in weight in three months. How long will it take to be 1600% in weight? (Linear or exponential growth?)

Ray Of Light [21]

Answer: 12 months

Step-by-step explanation:

Given : A tree double in weight in three months.

Since the weight is increasing by growth factor of 2 , therefore its is an exponential growth.

The exponential growth equation is given by :-

$y=Ab^x$ (1)

, where A is the initial values , b is the growth factor and x is the time period.

As per given , b= 2

Since the tree doubles in weight in three months, so time period x = $\dfrac{t}{3}$ , where t= number of months.

Substitute the value of b and x in (1) , we get

$y=A(2)^{\dfrac{t}{3}}$ , where y= weight of tree after t months and A is initial weight of tree.

When it will be 1600% of his initial weight , the weight of tree : y= 1600% of A = $\dfrac{1600}{100}\times A=16A$

At y= 16 A , $16A=A(2)^{\dfrac{t}{3}}$

$\Rightarrow\ 16=2^{\dfrac{t}{3}}$

$\Rightarrow\ 2^{4}=2^{\dfrac{t}{3}}$

$\Rightarrow\ 4=\dfrac{t}{3}\Rightarrow\ t=3\times4=12$

Hence, it will take 12 months to be 1600% in weight.

6 0

3 years ago

What is the equation of a circle with center of (4,2) passing through the point (7,2)

attashe74 [19]

Answer:

(x-4)^2 + (y-2)^2 = 3^2

(x-4)^2 + (y-2)^2 = 9 (simplified if needed)

Step-by-step explanation:

-Equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$ where the center is (h, k) and the radius is $r^2$ .

-Place the center and the point onto that equation:

$(7-4)^2+(2-2)^2=r^2$

-Then, you solve:

$(7-4)^2+(2-2)^2=r^2$

$(3)^2+(0)^2=r^2$

$9 +0=r^2$

$9=r^2$

$\sqrt{9} =\sqrt{r^2}$

$3=r$

-So, the result is:

$(x-4)^2+(y-2)^2=3^2$

$(x-4)^2+(y-2)^2=9$ (simplified if needed)

3 0

2 years ago

Given the two perallel line ,determine the measure of x a= x=125 b= x=135 c= x=45 d= x=55

dedylja [7]

Answer:a

Step-by-step explanation:

7 0

2 years ago

What additional information do you need to prove that ∆AMD ≅ ∆CNB by the HL Theorem?

Maurinko [17]

(H)ypotenuse (L)eg, right-triangle theorem.

based on the provided graph, we know the hypotenuses are equal, thus the tickmarks, so H is true, now the L part, we only need either of the pair of legs to be equal DM = NB or AM = CN, if either one is true, we're golden.

8 0

2 years ago

What is the factored form of this expression? x2 + 15x + 56

AlladinOne [14]

Step-by-step explanation:

${x}^{2} + 15x + 56$