MATHEMATICS HIGH SCHOOL

A line with a slope of 10 passes through the point (9, 3).  What is its equation in point-slope form?​

Answers

Answer 1
Answer:

Answer:

y=10(x-9)+3

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=10(x-9)+3

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Which equations have the same pair of solutions? Select all that apply. n(n + 3)(n - 4) = 0 2n(4n + 6)(6n - 4) = 0 0 = 2n(6 - 4n)(4 - 6n) 0 = n(2n + 3)(3n - 2) 2n(2n + 3)(3n - 2) = 0 3n(6n + 9)(9n - 6) = 0

X + x - 5 greater than equal to 33

Answers

To write this inequality first lets write the word form. The determine the symbol, and write it out:-

x + x - 5 greater than or equal to 33

greater than or equal to sign is ≥.

lets write it out with the sign:-

x + x - 5 greater than or equal to 33.
x + x - 5 ≥ 33

If we were to write this in correct words it would be 

A number plus a number minus five, is greater than or equal to thirty-three. 

Hope I helped ya!! xD
x+x-5 \geq 33\n\n2x -5 \geq 33\n\n2x -5 + 5 \geq 33 + 5\n\n2x \geq 38\n\n(2x)/(2) \geq (38)/(2)\n\n\boxed{\bf{x \geq17}}

Evaluate the expression 8 - 3 × 2 + 5.

7
15
29
56

Answers

First, multiply 2 by 3. That will give you 6. Then, subtract 6 from 8, you'll get an answer equivalent to 2. 2 + 5 = 7.

Answer:7

Step-by-step explanation:

An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much-frozen water is in the icicle? Use 3.14 for Pi. Round the answer to the nearest tenth.

Answers

Answer:

Amount of water =  3077.2 mm^3.

Step-by-step explanation:

The radius = 1/2 diameter = 1/2 * 14 = 7.

The amount of ice in the cone = it's volume.

The volume of the cone = 1/3 3.14 r^2 h

= 1/3 * 3.14 * 7^2 * 60

= 3077.2 mm^3.

A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his line. This causes the machine to overheat, increasing the probability that a defective molding will be produced during the early morning run from 3% to 15%. The plant manager randomly selects a molding from the early morning run and discovers it is defective. What is the probability that the foreman forgot to shut off the machine the previous night?

Answers

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

-If he does not, 3% of molds are defective.

#The probability that he forgot to shut off the machine is calculated as:

P(a \ and \ b)=0.55* 0.15\n\n=0.0825\n\n

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

P(a|b)=(P(a \ and\ b))/(P(a))\n\n=(P(a \ and \ b))/([(P(a \ and \ b)+P(\~a \ and \ b))\n\n\n=(0.0825)/(0.0825+0.0135)\n\n\n=0.8594

Hence,  the probability that the foreman forgot to shut off the machine the previous night is 0.8594

A container in the shape of a cylinder has a volume of 60 cubic meters. Its base has an area of 15 square units. What is the height of the container?options

3m



2m



4m



5m

Answers

The answer would be 4m

Danielle can run one mile is 8.835 minutes. Alex can run one mile is 9.75 minutes. How much longer, in minutes, does it take for alex to run one mile that it takes Daniella?

Answers

Alex have to have 18.585 minutes to be running at the same amount of miles like daniella
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