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iogann1982 [59]

2 years ago

15

A jar contains black and white marbles in the ratio 2:5. If the jar contains total of 35 marbles, how many of the marbles are bl

ack?

1 answer:

Svet_ta [14]2 years ago

8 0

Answer:

10 black marbles

Step-by-step explanation:

Let black marbles be=2x

Then white marbles=5x

Total marbles=7x which in turn is equal to 35. Hence x=5

Black marbles=2*5=10

H2H

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Fran is training for a cycle race. In the first week, she cycles 195 miles. In the second week, she manages 243 miles. To the ne

AleksAgata [21]

Answer:

24.6%

Step-by-step explanation:

243-195=48

48/195=x/100

48 × 100

4800/195= 24.6%

4 0

2 years ago

A certain freezing process requires that room temperature be lowered from 35oC at the rate of 6oC every hour. What will be the r

astra-53 [7]

Answer:

-13 degrees celcius.

Step-by-step explanation:

6 degrees are lowered every hour. 6*8 = 48 degrees, 48 degrees are lowered.

35-48 is -13. The room temperature will be -13 eight hours after the process begins.

6 0

2 years ago

7) The two towers on a suspension bridge will be 50 feet high and 300 feet apart. The two supporting cables are connected at the

Alborosie

Answer:

f(x) = x^2/500 + 5

f(100) = 100^2/500+5 = 25

Cable is 25 feet above road 100 feet from center of bridge.

Step-by-step explanation:

Assume towers are 50 feet above the road and the road is flat and level.

Tower bases are (-150,0) and (150,0).

Tower tops are (-150,50) and (150,50).

Center of bridge at roadway is (0,0).

Minimum height of parabola is (0,5).

f(x) = ax^2 + bx + c

The parabola is symmetrical about the y axis so b = 0

Constant term c = 5.

f(0)=5

f(150)=f(-150)=50.

a × 150^2 + 5 = 50

a = 45/(150^2) = 5/(50^2) = 1/500

f(x) = x^2/500 + 5

f(150) = 150^2/500+5 = 50✔

f(100) = 100^2/500+5 = 25

4 0

3 years ago

Identify each expression and value that represents the area under the curve y = x2 4 on the interval [-3, 2].

vitfil [10]

The area under the curve y = x² + 4 on the interval [-3, 2] exists $$\frac{95}{3}$ .

<h3>What is the area under the curve y = x² + 4 on the interval [-3, 2]?</h3>

The area under a curve between two points exists seen by accomplishing a definite integral between the two points. To estimate the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. This area can be estimated by utilizing integration with given limits.

The equation that represents the curve exists

y = x² + 4

To estimate the area under the curve in the interval of [-3, 2] will be

$$&\text { area }=\int_{-3}^{2} x^{2}+4 d x \\$

$$&=\left[\frac{x^{3}}{3}+4 x\right]_{-3}^{2} \\$

$$&=\frac{1}{3}\left[x^{3}\right]_{-3}^{2}+4[x]_{-}^{2} _{3} \\$

simplifying the above equation, we get

$$&=\frac{1}{3}\left[(2)^{3}(-3)^{3}\right]+4[(2)-(-3)] \\$

$$&=\frac{1}{3}[8+27]+4[2+3] \\$

$$&=\frac{1}{3}(35)+20 \\$

$$&=\left(\frac{95}{3}\right)$

Therefore, the area under the curve y = x² + 4 on the interval [-3, 2] exists $$\frac{95}{3}$ .

To learn more about area under the curve refer to:

brainly.com/question/2633548

#SPJ4

3 0

1 year ago

Kylie needs to pack her baton for a

kondaur [170]

Answer:

Step-by-step explanation:

For A, we would need to use the Pythagorean theorem. We have 13^2+35^2=38^2. Is this true? No It is not, 13^2 + 35^2 = 1394. The square root of that is about 37.3, so it does not fit.

For B, we would need to use the Pythagorean theorem again, but in a different way . We would need to find 13^2 + 35^2, and then square root that. That would be our base of our right triangle. The height would be 13, and we use the Pythagorean theorem again! We get 169+1394=1563. The square root of 1563 is about 39.5, so it does fit.

8 0

2 years ago