Write the slope-intercept form of the equation of the line through the given points: (-2,13) and (4,1)

Step-by-step explanation:

By Sine Rule,

x/sin42° = 37/sin110°.

Hence x = 37sin42°/sin110° = 26.35 in. (A)

Answer:

x = 35

Step-by-step explanation:

5(x + 20) = 7x + 30​

Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.

5x + 100 = 7x + 30

Subtract 7x from both sides.

-2x + 100 = 30

Subtract 100 from both sides.

-2x = -70

Divide both sides by -2.

x = 35

Answer:

The correct option is B.

Step-by-step explanation:

Consider the provided information.

The dimensions of bricks are in inches so convert foot into inches.

1 foot = 12 in

4 feet = 48 in

8 feet = 96 in

To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.

[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]

[tex]\text{Number of bricks in space}=576[/tex]

Hence, 576 bricks can be fit into a space.

Therefore the correct option is B.

Answer:

The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.

Step-by-step explanation:

Geometrically speaking, the volume of the cylindrical tank ([tex]V[/tex]), measured in cubic centimeters, is determined by the following formula:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

By Differential Calculus, we obtain a formula of the rate of change of the volume of the cylinder ([tex]\dot V[/tex]), measured in cubic centimeters per seconds:

[tex]\dot V = \pi\cdot r^{2}\cdot \dot h[/tex] (2)

Where [tex]\dot h[/tex] is the rate of change of the water level, measured in centimeters per second.

Given that the rate of change of the water level is constant, then the rate of change of the volume of the cylinder is also constant. Hence, the change in the volume of the cylinder ([tex]\Delta V[/tex]), measured in cubic centimeters, is:

[tex]\Delta V = \pi\cdot r^{2}\cdot \dot h \cdot \Delta t[/tex] (3)

If we know that [tex]r = 25\,cm[/tex], [tex]\dot h = 10\,\frac{cm}{s}[/tex] and [tex]\Delta t = 35\,s[/tex], then the change in the volume of water in the tank is:

[tex]\Delta V = \pi\cdot (25\,cm)^{2}\cdot \left(10\,\frac{cm}{s} \right)\cdot (35\,s)[/tex]

[tex]\Delta V \approx 687223.393\,cm^{3}[/tex]

The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.

Answer:

9+11i

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

3.) Boys║5║10 ║60

    Girls ║7║ 14 ║84

7 × 2 = 14

5 × 2 = 10

5 × 12 = 60

7 × 12 = 84

Hope I helped!

Answer:

I believe the answer is 103.

Step-by-step explanation:

Since line a is parallel to line b, angle m1 = angle m3.

Supposedly, angle m4 + angle m5 = 180 degrees, since it's a line. That also means that angle m3 + angle m4 = 180 degrees too.

That means:

angle m4 + angle m5 = angle m3 + angle m4

Subtract angle m4 from both sides of the equation.

You get,

angle m5 = angle m3.

Angle m5 is 103, and as we stated earlier, angle m3 = angle m1.

Thus, angle m1 = 103 degrees.

Answer:

What's at stake?

Mountaer their local fish stocks in a sustainable way. Local fishers are now responsible for confiscating fishing equipment that damages the environment and collecting fees for fishing licenses—providing them with an extra income while conserving their livelihoods in the long-term.

Namibia: elephants, cheetahs and other wildlife have made an amazing comeback in the last couple of decades. With strong government backing, we've helped local communities to set up and run “conservancies”, which allow them to manage and benefit from their own natural resources.  Read more about our successes in Namibia.

Philippines: We've helped eco-tourism to flourish in Donsol, where visitors now flock to see schools of endangered whale sharks, the world's largest fish, bringing hundreds of thousands of dollars into the local economy. Communities benefit—and so do the fish and other marine species, as local people recognize the need to conserve their largest asset.

India: Arunachal Pradesh is one of the only regions in India where indigenous people control their own forest regions. We've been working with them to create Community Conserved Areas, special areas where development is carefully managed and conservation regulations are strictly enforced. It's helping people preserve their way of life, and benefiting species like red pandas that live in the forest.

Brazil: We're helping local people in the state of Acre to make a better living by protecting the Amazon rainforest than by clearing it for logging or farming. We worked with the state government to introduce a new law that recognizes the huge value of the environmental services—such as storing carbon—that the rainforest provides, and offers people incentives to conserve it.  

These include payments to local people who look after their land, money for community projects, and technical help with sustainable agriculture and forestry. We're helping people develop sustainable livelihoods, such as rubber tapping and selling forest products like brazil nuts.

Did you know?

Mountain gorillas weren't discovered until 1902, and there were fears they would not survive into the 21st century. They're the largest type of gorilla—adult males weigh 220kg and have an arm span of over 2m.

Facts and stats

26 percent—increase in the mountain gorilla population in the Virunga volcanoes since 2003, up from 380 to 480

US$678,000—money local communities in Uganda earn each year from tourists who come to see mountain gorillas

US$1 million—annual value to the Ugandan economy of each of its gorillas

120,000 sq km—area of wildlife habitat sustainably managed by communities in Namibia, where wildlife sightings have almost doubled since 2004

What next?

We involve local people in all our conservation work, and we're looking to replicate the success of our community-led conservation projects in other areas

We believe that what's worked for mountain gorillas can do the same for lowland gorillas in central Africa. We're bringing the Namibian model of community-run wildlife conservancies to neighbouring Botswana and Zambia. We think that Acre can provide a model for international efforts to reduce carbon emissions from deforestation.

But we're also looking to a much bigger community: the global one.

Ultimately, we all benefit from nature's services—from food, materials and medicines to clean water and fertile soils, as well as the joy and wonder nature brings. We want to show people all over the world that looking after our one and only planet is in everyone's interest.

How you can help

Buying Forest Stewardship Council (FSC)-certified wood and paper benefits local people as well as wildlife: always look out for the FSC label when you're shopping.

Planning an exotic holiday? Be an ecotourist! Choose a trip that benefits wildlife and local communities.

Find out more about mountain gorillas.

Step-by-step explanation:

Function A changes at a faster rate than Function B.

A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run."

Given Two functions in form of a graph and chart.

For function A

Two random coordinates are(4, 32) and (8, 44)

Thus, the slope of function A = (44 - 32)/ (8-4) = 12/4 = 3

For function

Two random coordinates are(0, 2) and (6, 9)

Thus, the slope of function A = (9 - 2)/ (6 - 0) = 7/6 = 1.17

Since Slope of the function A is Bigger than the slope of the function B

Therefore, Function A has a greater rate of change than B.

Learn more about the slope here:

https://brainly.com/question/14548961

#SPJ2

Answer:

false, false, true, true, true

Step-by-step explanation:

Let's check each of the answers by plugging them into the inequality.

-2 (false):

[tex]9-3(-2)<12\\9-(-6)<12\\9+6<12\\15<12[/tex]which is false.

-1 (false):

[tex]9-3(-1)<12\\9-(-3)<12\\9+3<12\\12<12[/tex]which is false.

0 (true):

[tex]9-3(0)<12\\9<12[/tex]which is true.

1 (true):

[tex]9-3(1)<12\\9-3<12\\6<12[/tex]which is true.

2 (true):

[tex]9-3(2)<12\\9-6<12\\3<12[/tex]which is true.

Answer:

The population will be 863 in the next eight years

Step-by-step explanation:

Here, we want to know the population of the town in 8 years, given the percentage decrease and the present population

The exponential equation to use is that;

P = I( 1 - r)^n

where P is the future population we want to calculate

I is the present which is 2,400

r is the percentage of decay given as 12% = 12/100 = 0.12

n is the number of years which is 8

Substituting these values, we have that

P = 2,400(1 - 0.12)^8

P = 2,400(0.88)^8

P = 863

9514 1404 393

Answer:

  C)  12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

  A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

  A/P = (1 +r/12)^(12t)

  log(A/P) = (12t)·log(1 +r/12)

  t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

  t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.

Answer:

Deepak only wants to make 16 cupcakes.

How much of each ingredient does he need?

Recipe: Makes 16 cupcakes

8 ounces butter

4 ounces sugar

6 ounces flour

2 eggs

Step-by-step explanation:

Answer:

butter: 8

sugar: 4

flour: 6

eggs: 2

Step-by-step explanation:

Multiply by 2/3.

Answer:

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

HOPE THIS HELPS

Given:

The expression is:

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

It can be rewritten as

[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]

[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex]        [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex]        [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]

[tex]=\dfrac{-8}{9}[/tex]        [tex][\because \sqrt[n]{x^n}=x][/tex]

The value of given expression is [tex]\dfrac{-8}{9}[/tex].

Therefore, the correct option is b.

Step-by-step explanation:

We have logb(8) = 3 and logb(0.5) = -1.

=> b³ = 8 and 1/b = 0.5

=> b = 2.

Therefore,

logb(4b) = log2(8) = 3.

Answer:

We have, logb(8)=3 and logb(0.5)=-1

→b³=8 and 1/b=0.5

→b=2

Therefore,

logb(4b) = log2(8)=3.

Answer:

a - 8

Explanation:

7a−6+3−8a−(−2a+5)

Distribute the Negative Sign:

=7a−6+3−8a+−1(−2a+5)

=7a+−6+3+−8a+−1(−2a)+(−1)(5)

=7a+−6+3+−8a+2a+−5

Combine Like Terms:

=7a+−6+3+−8a+2a+−5

=(7a+−8a+2a)+(−6+3+−5)

=a + −8

Answer:

= a − 8

Answer:

[tex]Area \: of \: the \: quilt \: is \: length \times breadth \\ = (2x + 4)(3x + 3) \\ = 6 {x}^{2} + 6x + 12x + 12 \\ = 6 {x}^{2} + 18x + 12[/tex]

Answer:

b

Step-by-step explanation:

Answer:

[tex]y-9=-3(x-5)[/tex]

Step-by-step explanation:

The equation of the line in point-slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Here m=-3 and (x1, y1)=(5, 9)

Therefore,

[tex]y-9=-3(x-5)[/tex]

Answer:

7.48

hope this helps!!:)

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

75 x - 30 = 45

Inequality

45 x 3 =

135 (Inequality)

Answer:

No solution

Step-by-step explanation:

If you were to do elimination, both the x and the y would cancel out and get 0=1, which is not true. And if you were to do it as substitution, then it would still get an answer that doesn't make sense.

Answer:

29.15 feet

Step-by-step explanation:

Pythagorean theorem

Answer:

1. D

2. C

3. A

4. B

Step-by-step explanation:

mark me brainliest if im right

Answer:

1. D

2. C

3. A I think

4. B

Step-by-step explanation:

1. The shown equation has a value of negative twelve and so does the equation 4n+8

2. If you use distributive property than you can get this answer

3. It shows the equation to a solve the problem

4. It is the best example that shows how to find how many nickels that Jeremy has

Answer:

2

Step-by-step explanation:

Answer:

So I'm not going to give you the answer but

Step-by-step explanation:

for x left is - and right is +

for y down is - and up is +

REEEEEEEEEEEEEEEeeEEEEEEEEEEEEEEEEEEEEEEEEEe

Answer:

Each bag of chip costs 0.99 (99 cents)

Step-by-step explanation:

Soda = 1.75

Bag of chips = x

1.75 + 3x = 4.72

Subtract 1.75 from both sides;

3x = 2.97

Divide both sides by 3;

x = 0.99

Answer:

0.45

Step-by-step explanation:

30% of 1.5 = 0.45

Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. [tex]1.5[/tex] quarts of seafoam paint is made of [tex]70[/tex]% blue, [tex]30[/tex]% yellow.

So,

[tex]30[/tex]% of [tex]1.5[/tex] is

[tex]\frac{30}{100}[/tex] ×[tex]1.5=0.45[/tex] %

Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.

To know more about the percentage

https://brainly.com/question/13244100

#SPJ5

Answer:

63

Step-by-step explanation:

7(4+x)

Distribute: 28 + 7x

Substitute: 28 + 7(5)

Simplify: 28 + 35

Simplify: 63