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3 years ago

Hi, this is apart of my homework assignment!

Mathematics

1 answer:

Hunter-Best [27]3 years ago

5 0

Answer:

Percent Change is 16%

The change is increased.

Step-by-step explanation:

The original amount = 25

Amount increase = 4

We need to find percent increase

The formula used is: $\frac{Amount \ increased}{Original \ Amount}*100$

Putting values in formula

$Percent \ Change = \frac{Amount \ increased}{Original \ Amount}*100\\Percent \ Change =\frac{4}{25}*100\\Percent \ Change =16 \%$

So, Percent Change is 16%

The change is increased.

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-15= z/-2 answer please?

faust18 [17]

Answer:

Step-by-step explanation:

$-15=\frac{z}{-2}\\\\(-15)(-2)=z\\\\30=z$

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3 years ago

I can't seem to figure out number 13, with the star. I just don't know! Help is very appreciated ☺️

katrin2010 [14]

Given:
Scale of the map 1 1/4cm : 8 yards
Rectangular Park: width : 2 1/2 cm ; length : 6 1/4 cm
Circular Pond: pi = 3.14 ; diameter 1 1/4 cm

Convert mixed factions into fractions.
Scale 1 1/4 = (4*1+1)/4 = 5/4
Width: 2 1/2 = (2*2+1)/2 = 5/2
Length: 6 1/4 = (4*6+1)/4 = 25/4
Diameter: 1 1/4 = (4*1+1)/4 = 5/4

width / scale * 8 yds = width in yards
5/2 ÷ 5/4 = 5/2 * 4/5 = 20/10 = 2 * 8 yds = 16 yds
length / scale * 8 yds = length in yards
25/4 ÷ 5/4 = 25/4 * 4/5 = 100/20 = 5 * 8 yds = 40 yds

Area of a rectangular park = l * w = 40 yds * 16 yds = 640 yds²

diameter / scale * 8 yds = diameter in yards
5/4 ÷ 5/4 = 5/4 * 4/5 = 20/20 = 1 * 8 yds = 8 yds.

radius = d/2 = 8/2 = 4
Area of a circular pond = πr² = 3.14 * 4² = 3.14 * 16yds² = 50.24 yds²

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3 years ago

Establish for which constants c the following function is a density.

Valentin [98]

By "density" I assume you mean "probability density function". For this to be the case for $f(x)$ , we require

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1$

Since

$f(x)=\begin{cases}cx^{1/2}&\text{for }0$

you have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1$

which means

$c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}$

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3 years ago

Find the area and perimeter of a rectangle with a length of (6x2-10) and a width of (4x+3)

mestny [16]

Answer:6x2=12-10=2 and 4×+3=12

Step-by-step explanation:

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3 years ago

The classroom had 35 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom

Marat540 [252]

Answer:

14 glue bottles.

Step-by-step explanation:

Let's use a ratio:

sticks : bottles

5 : 2

35 : 14

There are 14 glue bottles in the classroom.

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3 years ago