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Ierofanga [76]
3 years ago
11

Which lines are perpendicular to the line y - 1 = {(x+2)? Check all that apply.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0

Answer:

A.) y + 2 = –3(x – 4)

C.) y = -3x – Five-thirds

D.) 3x + y = 7

Step-by-step explanation:

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Jason has a container holding 11.5 quarts of liquid. If he want to find enough containers to hold 13 times this amount of liquid
Pani-rosa [81]

Answer: 149.5 quarts

Step-by-step explanation:

From the question, we are informed that Jason has a container holding 11.5 quarts of liquid and that he wants to find enough containers to hold 13 times this amount of liquid.

The number of quarts of liquid that the containers need to hold will be:

= 13 × 11.5

= 149.5 quarts

Your answer

8 0
2 years ago
Is substitutions the best method to use when one variable is already known
8_murik_8 [283]
There’s two ways to substitute, but i think you mean if you know x but don’t know y. if that is true, then yes use substitution
8 0
2 years ago
Read 2 more answers
Uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimeters and a height of 7 centimeters. Sh
Mariana [72]

Answer:

<h2>1,190cm²</h2>

Step-by-step explanation:

The Area of a triangle is expressed  as 1/2 * base * height. If uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimetres and a height of 7 centimetres, area of the blanket will be expressed as shown;

Area of the blanget = 1/2 * 7 * 5

Area of a blanket = 35/2 = 17.5cm²

If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²

6 0
3 years ago
In a lab experiment, 60 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub
Levart [38]

Answer:

17.5 hours

Step-by-step explanation:

107 = 60(2^n)

n(lg2) = lg(107/60)

n = 0.8345763908 × 21

n = 17.52610421 hours

7 0
2 years ago
I roll a fair die twice and obtain two numbers X1= result of the first roll and X2= result of the second roll. Given that I know
azamat

By definition of conditional probability,

P(X_1=4\text{ or }X_2=4\mid X_1+X_2=7)=\dfrac{P((X_1=4\text{ or }X_2=4)\text{ and }X_1+X_2=7)}{P(X_1+X_2=7)}

=\dfrac{P((X_1=4\text{ and }X_1+X_2=7)\text{ or }(X_2=4\text{ and }X_1+X_2=7))}{P(X_1+X_2=7)}

Assuming a standard 6-sided fair die,

  • if X_1=4, then X_1+X_2=7 means X_2=3; otherwise,
  • if X_2=4, then X_1=3.

Both outcomes are mutually exclusive with probability \frac1{36} each, hence total probability \frac2{36}=\frac1{18}.

Of the 36 possible outcomes, there are 6 ways to sum the integers 1-6 to get 7:

(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)

and so a sum of 7 occurs \frac6{36}=\frac16 of the time.

Then the probability we want is

P(X_1=4\text{ or }X_2=4\mid X_1+X_2=7)=\dfrac{\frac1{18}}{\frac16}=\frac13

6 0
3 years ago
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