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3 years ago

14

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 200, and then went down by 19% in

2014. How many robberies were there in Springfield in 2014?

1 answer:

Neko [114]3 years ago

5 0

The answer you are looking for is 162.

You might be interested in

Find the angle measures for this isosceles triangle.

rewona [7]

Answer:

B

Step-by-step explanation:

3p+6p+6p=180°

15p=180

p=12

3p=12×3=36°

6p=12×6=72°

4 0

3 years ago

a particle moves along the y-axis with a motion defined by the equation s(t)=lnt/t for t>0. Find the velocity at t=2

aliina [53]

The velocity would be 0.3466

5 0

4 years ago

Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s

Leya [2.2K]

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

$h(x) = f(x) + g(x)$ $h(x) = f(x) - g(x)$

$h(x) = \frac{f(x)}{g(x)}$ $h(x) = f(g(x))$

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

$f(x) = 75+ 10x$

The savings function is given as

$s(x) = 85$

The allowance function is given as:

$a(x) = 10(x - 1)$

The new function that combined his savings and his allowances is calculated as:

$f(x) = s(x) + a(x)$

Substitute values for s(x) and a(x)

$f(x) = 85 + 10(x - 1)$

Open bracket

$f(x) = 85 + 10x - 10$

Collect like terms

$f(x) = 85 - 10+ 10x$

$f(x) = 75+ 10x$

Read more about functions at:

brainly.com/question/15458447

4 0

3 years ago

Read 2 more answers

Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 5.00. What should be the length of B⃗ so that th

creativ13 [48]

Answer:

Length of B is 7.4833

Step-by-step explanation:

The vector sum of A and B vectors in 2D is

$C=A+B=(a_1+b_1,a_2+b_2)$

And its magnitude is:

$C=\sqrt{(a_1+b_1)^2+(a_2+b_2)^2} =9$

Where

$a_1=Asinx$

$a_2=Acosx$

$b_1=Bsin(x+90)$

$b_2=Bcos(x+90)$

Using the properties of the sum of two angles in the sin and cosine:

$b_1=Bsin(x+90)=B(sinx*cos90+sin90*cosx)=Bcosx$

$b_2=Bcos(x+90)=B(cosx*cos90-sinx*sin90)=-Bsinx$

Sustituying in the magnitud of the sum

$C=\sqrt{(Asinx+Bcosx)^2+(Acosx-Bsinx)^2} =9$

$C=\sqrt{A^2sin^2x+2ABsinxcosx+B^2cos^2x+A^2cos^2x-2ABsinxcosx+B^2sin^2x} =9$

$C=\sqrt{A^2(sin^2x+cos^2x)+B^2(cos^2x+sin^2x)}$

$C=\sqrt{A^2+B^2} =9$

Solving for B

$A^2+B^2 =9^2$

$B^2 =9^2-A^2$

Sustituying the value of the magnitud of A

$B^2=81-5^2=81-25=56$

$B= 7. 4833$

8 0

3 years ago

The measures of two complementary angles have a ratio of 1:2 what is the measure of each angle

mamaluj [8]

The two angles are 30 degrees and 60 degrees

<em><u>Solution:</u></em>

Given that,

The measures of two complementary angles have a ratio of 1 : 2

Let the one of angle be 1x

Let the other angle be 2x

We know that,

Sum of two complementary angles is 90 degrees

Therefore,

1x + 2x = 90

3x = 90

Divide both sides by 3

x = 30

<em><u>Therefore, measure of each angles is:</u></em>

One angle = 1x = 30

Other angle = 2x = 2(30) = 60

Thus the two angles are 30 degrees and 60 degrees

6 0

3 years ago