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Minchanka [31]
3 years ago
9

Please answer this question please please please

Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0

The graph is uploaded

A is (4,0) x=4 and y =0

B is (4,4) x=4 and y=4

C is (-3,0) x=-3 and y =0

The graph is uploaded here

From the graph we can see that the base AC = 7 units

Height of the triangle AB = 4 units

Area of the triangle ABC = \frac{1}{2} * base * height

= \frac{1}{2} * 7 * 4

= 14 square units


IgorC [24]3 years ago
3 0

The graph is uploaded

A is (4,0) x=4 and y =0

B is (4,4) x=4 and y=4

C is (-3,0) x=-3 and y =0

The graph is uploaded here

From the graph we can see that the base AC = 7 units

Height of the triangle AB = 4 units

Area of the triangle ABC =  \frac{1}{2}   * base * height

=  \frac{1}{2}   * 7 * 4

= 14 square units

Read more on Brainly.com - brainly.com/question/10720240#readmore

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Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm y=a^x (where a is a constant) is \dfrac{dy}{dx}=a^x\ln a. Let's use in this in finding the derivative of A(t).

A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
Drag values to complete each equation.
Alex777 [14]

Answer:

1. A. 1

2. D. 17^9

Step-by-step explanation:

Properties used:

  • Power of a Power Property
  • Product Property
  • Quotient Property
  • Zero Exponent Property

1. First, let's deal with the numerator.

(17^3)^6 can be turned into 17^1^8 by using the Power of a Power Property.

And then use the Product Property, (17^1^8)(17^-^1^0) = 17^8

So now, our fraction is this: \frac{17^8}{17^8}

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: \frac{a^m}{a^n} = a^m^-^n or \frac{1}{a^(^n^-^m^)}. Which then you plug the numbers in: \frac{17^8}{17^8} = 17^8^-^8 = 17^0. And since we know that in Zero Exponent Property: a^0 = 1, we can see that 17^0 = 1. So either way, we get 1.

So the answer is 1, which is A

2. Power of a Power Property: (a^m)^n = a^m^n

So plug the numbers in the property: (17^{6}) ^3= 17^1^8

Product Property: (a^m)(a^n) = a^m^+^n

We plug the equation in with (17^{6}) ^3 turned into 17^1^8 ---

(17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9

So the answer is 17^9, which is D

I hope this helps!
Please give Brainliest!

Have a great day!

7 0
2 years ago
Read 2 more answers
Which linear function has the greatest initial value? Which has the greatest rate of change? Use the drop-down menus to show you
Nat2105 [25]

Answer:

Step-by-step explanation:

4 0
3 years ago
Simplify the expression: (9x+10) - (3x+7)
natali 33 [55]

Answer:

6x+3

Step-by-step explanation:

You first must distribute the negative sign to 3x+7, giving you -3x+7. Then you combine like terms (the 9x+(-3x) and 10+(-7)). This would give you 6x+3

4 0
3 years ago
Read 2 more answers
Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th
Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:  

A=A_{o}.2^{\frac{-t}{h}} (1)

Where:  

A=22 g is the final amount of the radioactive element

A_{o}=800 g is the initial amount of the radioactive element  

t is the time elapsed  

h=8 min is the half life of the radioactive element  

So, we need to substitute the given values and find t from (1):  

22 g=(800 g) 2^{\frac{-t}{8 min}} (2)  

\frac{22 g}{800 g}=2^{\frac{-t}{8 min}} (3)  

\frac{11}{400}=2^{\frac{-t}{8 min}} (4)  

Applying natural logarithm in both sides:  

ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}}) (5)  

-3.593=-\frac{t}{8 min}ln(2) (6)  

Clearing t:

t=41.46 min \approx 41.5 min This is the time elapsed

7 0
3 years ago
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