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DerKrebs [107]
3 years ago
11

1. -168 < -12a

Mathematics
2 answers:
kotegsom [21]3 years ago
6 0

Answer:

See step by step explanation

Step-by-step explanation:

1. a<14

2. m </ 25

3. n >/ 7

allsm [11]3 years ago
3 0

Answer: a < 14 m > 25 and n > 7

Step-by-step explanation:

Less than of equal to no just less than

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A sample of bacteria is growing at an hourly rate of 14% according to the exponential growth function. The sample began with 7 b
tatiyna

Answer:

125

Step-by-step explanation:

x(t) = x0 × (1 + r) t

where:

x(t) = the amount of some quantity at time t

x0 = initial amount at time t = 22

r = the growth rate

t = time

3 0
3 years ago
What is the answer for this ?
REY [17]

Answer:

A

-2 < x ≤ 3 (All x values between -2 and 3; excluding -2 and including 3)

Step-by-step explanation:

I feel the answer is A because from what we know, domain is the x-intercept or x. So both C and D are not the answer because the y-intercept is not the domain, the y-intercept is the range. Next I looked at both A and B, well, if you look closely answer choice A says "excluding -2 and including 3" and choice B says "including -2 and excluding 3". I also seen on the graph that the point of (3,3) has a filled in dot and the point at (-2,-1) has an opened dot. A filled in dot always means you either have a ≥ (greater than or equal to sign) or a ≤ (less than or equal to sign). While an opened dot always means you just have < (greater than) or a > (less than) sign. So the correct answer is A!! Hope you have a fantastic rest of your day! :)))

4 0
3 years ago
Please answer asap!!!!!
kherson [118]

Step-by-step explanation:

The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

2

+(y−b)

2

=r

2

where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.

Here, the equation of the circle is,

\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

⟹

⟹

⟹

x

2

+y

2

+10x−4y−20

x

2

+y

2

+10x−4y+25+4−49

x

2

+y

2

+10x−4y+25+4

x

2

+10x+25+y

2

−4y+4

(x+5)

2

+(y−2)

2

=

=

=

=

=

0

0

49

49

7

2

From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

Radius of the circle is 7 units.

Hence the radius is 7 units.

4 0
3 years ago
A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how lo
SpyIntel [72]

Answer:

The shadow of the building = 192 ft.

Step-by-step explanation:

∵ There is a proportional relation between the heights of the tree and the building and their shadows

∴ Height tree/height building = shadow tree/shadow building

\frac{5}{80}=\frac{12}{x}

x = \frac{(80)(12)}{5}= 192 ft ⇒ x is the length of the shadow of the building

3 0
3 years ago
A sum of money invested at 8% per annum for simple interests amounts to $12122 in 2 years.What ill it amounts to in 2 years 8 mo
Jobisdone [24]

Answer:

  $12,958

Step-by-step explanation:

The total amount of the account, principal plus interest, is given by ...

  A = P(1 +rt)

The given information tells us ...

  12,122 = P(1 + .08×2) = 1.16P

Then the principal amount is ...

  12,122/1.16 = 10,450

__

When that same amount is invested using a different rate and time period, it becomes ...

  A = 10,450(1 + .09×(2 2/3)) = 10,450×1.24 = 12,958

It will amount to $12,958 in 2 years 8 months at 9%.

3 0
3 years ago
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