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1 year ago

Please answer fast

Mathematics

1 answer:

worty [1.4K]1 year ago

5 0

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

<h3>What is the area of a triangle?</h3>

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at brainly.com/question/21735282

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Subtract.<br> (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)<br><br> Simplify answer. Do not factor

pentagon [3]

[- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).

<h3>What are linear equations?</h3>

A linear equation in one variable is a mathematical expression for an equation with only one variable.
While any two real integers can represent A and B, the ambiguous variable x has just one possible value.
The formula is Ax + B = 0.
9x + 78 = 18 is an example of a linear equation with just one variable.

So, we have:

(3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)

Now, calculate as follows:

= (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)
= 3r²s+ 4rs+2-16r²s² - 7sr²- 10 + 13r²s²
= 13r²s² - 16r²s² - 7sr² + 3r²s + 4rs - 10 + 2
= - 3r²s² - 4sr² + 4rs - 8

Therefore, [- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).

Learn more about linear equations:

brainly.com/question/11897796

#SPJ13

7 0

10 months ago

This is an ADDMATHS question!! It's a kinematics problem. Please help me for both a(i) and a(ii).

Kitty [74]

a(i). Since you are given a velocity v. time graph, the distance will be represented by:
$\vec{s}(t) = \int_{a}^{b}\left \| \vec{v}(t) \right \|$

In this case, however, we can just use simple geometry to evaluate the area under the graph v(t). I split it up into 2 trapezoids, and 1 rectangle. So, the area will be as follows:
$A_t = A_{t1}+A_{t2}+A_r$
$A_{t1} = \frac{30+15}{2}(10) = 225m$
$A_{t2} = \frac{15+25}{2}(15) = 300m$
$A_r = 25(30) = 750m$
$A_t = 750+300+225 = 1275m$

So, the particle traveled a total of 1275m assuming it never turned back (because it says to calculate distance).

a(iii). Deceleration is a word for negative acceleration. Acceleration is the first derivative of velocity, and so deceleration is too. So, we just need to find the slope of the line that passes through t = 30 because it has a linear slope (meaning the slope doesn't change). So, we can just use simple algebra instead of calculus to figure this out. Recall from algebra that slope (m):
$m = \frac{y_2-y_1}{x_2-x_1}$

So, let's just pick values. I'm going to pick (25, 30) and (35, 15). Let's plug and chug:
$m = \frac{15-30}{35-25} = -\frac{15}{10} = -\frac{3}{2}$

Since it's a negative value, this means that acceleration is negative but deceleration is positive (because deceleration is negative acceleration). So, your answer is: The deceleration of the particle at t = 30s is 3/2 or 1.5.

5 0

3 years ago

Solve this one 0.2=x/5-1.4

Dvinal [7]

Answer:

$0.2 = \frac{x}{5} - 1.4$

Move 1.4 to the left side of the equation

That's

$0.2 + 1.4 = \frac{x}{5} \\ \\ \frac{x}{5} = 1.6$

Convert the decimal to fraction

That's

1.6 = 8/5

$\frac{x}{5} = \frac{8}{5}$

Multiply through by 5

We have

$\frac{x}{5} \times 5 = \frac{8}{5} \times 5 \\ \\ \\ x = 8$

Hope this helps you

7 0

2 years ago

Help pls jk free points happy april fools

Lilit [14]

<h2>Answer:</h2>

[C] <u>The government doesn’t understand the value of trees to Kenyan people and unknowingly damage their quality of life</u>.

State that- <u>Wangari Maathai</u> was a Nobel laureate and environmental activist. She is responsible for starting the Green Belt Movement. She has been threatened, beaten, and jailed many times by the Kenyan government for protesting the destruction of public forests. But she never stopped. And she succeced in her mission.

7 0

2 years ago

Read 2 more answers

Computer output from a regression analysis is provided. Coefficients: Estimate Std. Error t value p-value (Intercept) 7.2960 14.

Crazy boy [7]

Answer:

Step-by-step explanation:

Hello!

You need to test the hypothesis that the slope of the regression is cero.

I've run in the statistic software the given data for Y and X and estimated the regression line:

Yi= 7.82 -1.60Xi

Where

a= 7.82

b=-1.60

Sb= 3.38

The hypothesis is:

H₀: β = 0

H₁: β ≠ 0

α: 0.05

This is a two-tailed test, the null hypothesis states that the slope of the regression is cero, this means that if the null hypothesis is true, there is no linear regression between Y and X.

The statistic for this test is a Student-t

t= <u> b - β </u> ~t $_{n-2}$

The critical values are:

Left: $t_{n-2; \alpha /2} = t_{2; 0.025} = -4.303$

Right: $t_{n-2; \alpha /2} = t_{2; 0.975} = 4.303$

t= <u>-1.60 - 0 </u>= -0.47

3.38

the p-value is also two-tailed, you can calculate it by hand:

P(t ≤ -0.47) + (1 - P(t ≤ 0.47) = 0.3423 + (1 - 0.6603) =0.6820

With the level of significance of 5%, the decision is to not reject the null hypothesis. This means that the slope of the regression is equal to cero, i.e. there is no linear regression between the two variables.

I hope this helps!

6 0

2 years ago