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3 years ago

Which equation describes relationship between X and Y in the table?

Mathematics

2 answers:

Hatshy [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Based off the answers, we are supposed to find the slope. You can tell since the only thing differing between the answers are the slope.

First you take two points and then plug them into the following equation to solve for slope.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Let's use the points (0, 0) and (4, -1).

$m=\frac{-1-0}{4-0}\\ m=\frac{-1}{4} \\$

Hope this helps! <3

MArishka [77]3 years ago

5 0

Answer: the answer is a

Step-by-step explanation:

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In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population

Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

$y=a(1+r)^{t}$

Here,

y = final value

a = initial value

r = growth rate

t = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of r as follows:

$y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145$

Now, compute the time it will take the population to grow to 800 insects as follows:

$800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17$

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0

3 years ago

Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a

jeka57 [31]

Answer:

$\\ \gamma= \frac{a\cdot b}{b\cdot b}$

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if $b \neq 0$ . Recall that given two vectors a,b a⊥ b if and only if $a\cdot b =0$ where $\cdot$ is the dot product defined in $\mathbb{R}^n$ . Suposse that $b\neq 0$ . We want to find γ such that $(a-\gamma b)\cdot b=0$ . Given that the dot product can be distributed and that it is linear, the following equation is obtained

$(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b$

Recall that $a\cdot b, b\cdot b$ are both real numbers, so by solving the value of γ, we get that

$\gamma= \frac{a\cdot b}{b\cdot b}$

By construction, this γ is unique if $b\neq 0$ , since if there was a $\gamma_2$ such that $(a-\gamma_2b)\cdot b = 0$ , then

$\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma$

6 0

3 years ago

Can I get some help please?

Lynna [10]

The answer is 15. Just count the spaces between A and D.

3 0

2 years ago

) Alon started in 60% of his team's basketball games this season. He started a total of 12 games. About how many games did Alon'

kvv77 [185]

Answer:

Step-by-step explanation:

Let x = total number of basketball games that was played by the team this season.

Alon started in 60% of his team’s basketball games this season. This means that he started in a total number of 60 percent of x basketball games this season.

60% of x basketball games this season = 60/100 × x

= 0.6×x = 0.6x

From the information given, Alon started a total of 12 basketball games this season. Therefore,

0.6x = 12

x = 12/0.6 = 20

7 0

2 years ago

7=5y - 13 - y Pls answer fast

Agata [3.3K]

20 = 4 y
Y =5
Hope this helps

8 0

2 years ago

Read 2 more answers