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3 years ago

What is the slope of a line parallel to the line whose equation is 3x-3y=-453x−3y=−45.

Mathematics

1 answer:

torisob [31]3 years ago

8 0

Answer:

75.5x is the slope

453x+(-6y)=-45

-6y/-6y= y

-45/-6= 7.5

-453/-6= 75.5

y=7.5+ 75.5x

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Please help me I'm stumped on this

Sladkaya [172]

Answer: 1300 cm^3, 850 cm^2

Step-by-step explanation:

With a triangular prism, you need to calculate the surface area of the triangle first and then the length. Here's how to solve for the volume (A):

Triangles is b*h/2, plug in the equation

10*13/2

130/2

Now use the length of the rest of the shape, which is 20 cm.

65*20=1300

the volume is 1300 cm^3.

for B, finding the surface area requires you to analyze each individual part of the shape.

Each part colored in represents a different shape:

Red:

10*20=200

Blue:

13*10/2=65

65*2=130 (Two triangles)

Green:

13*20=260

260*2=520 (Two rectangles)

Add them all up together.

200+130+520= 850 cm^2

8 0

3 years ago

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

3 years ago

Please help Last Question!!!

pshichka [43]

Answer:

24%

Step-by-step explanation:

2610 of the 10730 students are graduates. The probability of choosing a graduate at random from all students is ...

2610/10730 × 100% ≈ 24.324% ≈ 24%

8 0

3 years ago

(Q1) Which of the following is true about the function y = 3 • 2x?

Virty [35]

Answer: Third option

Step-by-step explanation:

You have the function:

$y=3*2^x$

Then, if the value of x increases by 1, you obtain:

-Rewrite the function:

$y=3*2^{(x+1)}$

-Substitute values for x into the function and observe what happen to y. Then:

x=1

$y=3*2^{(1+1)}=12$

x=2

$y=3*2^{(2+1)}=24$

x=3

$y=3*2^{(3+1)}=48$

The value of y is doubled.

6 0

3 years ago

Read 2 more answers

Please help i need an A

Basile [38]

Answer:

(1) 820

(2) 1920

Step-by-step explanation:

(1) solving 20 x 41, using associative property.

20 * 41 = (2 x 10) x 41 = 2 x (10 x 41)

= 20 x 41 = 2 x 410

= 820 = 820

(2) distribute 32 as 30 + 2 and solve.

60 x 32

= 60 x (30 + 2) = 60(30) + 60(2)

= 1800 + 120

= 1920

3 0

3 years ago