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lakkis [162]
3 years ago
5

Determine the slope and y-intercept of the graph: 2x + 5y = 10

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Slope is -2/5 and y-intercept is 2

Step-by-step explanation:

  • Step 1: Write the equation in slope-intercept form y = mx + b

2x + 5y = 10

5y = -2x + 10

y = -2/5 x + 10/5

y = -2/5 x + 2

  • Step 2: Find the slope and y-intercept from the equation.

Slope, m = -2/5

y-intercept, b = 2

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A cube has an edge length of 5 inches. Determine the total surface area of the cube. ​
KonstantinChe [14]

Answer:

Step-by-step explanation:

surface area=4 *x²+2 x²=6x²=6 ×5²=150 sq. in.

5 0
4 years ago
Write 337,060 in expanded form using exponents
Agata [3.3K]

1. expand using place value.

337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0


Next, we will use exponents:

300,000 = 3 * 10^5

30,000 = 3 * 10^4

7,000 = 7 * 10^3

000 = 0 * 10^2

60 = 6 * 10

0 = 0 * 10^0


then after combing these exponents, we can write the number as:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0


Finally, removing the meaningless zeroes, we would end up with:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10


3 0
3 years ago
The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the fi
Thepotemich [5.8K]

Answer:

second term: 9

4th term:81

(3rd \: term)^{2}  = 9 \times 81

=729

\sqrt{729}  = 27

3rd term=27

{9}^{2}  = a1x27 \\ 81 = 27a1

a1=3 the first term

81 = 3 \times {q}^{3}

{q}^{3}  = 27

q=3

s = 3x \frac{1 -  {3}^{5} }{1 - 3}  = 364.5

5 0
3 years ago
mary wants to fill in a cylinder vase. the flower store told her to fill the vase 4/5 of the way for the flowers to last the lon
Goshia [24]

Volume is a three-dimensional scalar quantity. The volume of the water that Marry should pour into the vase is 241.28 cubic inches.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the radius of the flower vase is 4 inches, while the height of the vase is 6 inches, therefore, the total volume of the vase is,

Volume = πR²×H = π× 4²×6 = 301.6 in³

Since the volume of the vase is 301.6 in³, but the store has told her to fill the vase 4/5 of its capacity, therefore, the volume of water Marry should pour is,

Volume of water = (4/5) × 301.6 in³ = 241.28 cubic inches

Hence, the volume of the water that Marry should pour into the vase is 241.28 cubic inches.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

4 0
2 years ago
–4.5t49.5t = 40<br> Please help
dlinn [17]

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

      Multiply (-4.5t)(49.5t):

                     (-4.5t)(49.5t) = -222.75t

      Now, write full equation:

          -222.75t = 40

      Isolate t by dividing -222.75 on both sides:

           \frac{-222.75}{-222.75}t=\frac{40}{-222.75}

      Cancel out left hand side:

            t=\frac{40}{-222.75}

      Simplify your answer:

              t=-0.17957351

      Approximate to 2 decimals:

           t=-0.18

     

5 0
3 years ago
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