Line b passes through the point (-4,-7) and has a slope of -3/2 what is the equation of line b in standard form?

Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?

Naily [24]

40 times 10, every 10 seconds you go 40 miles...

5 0

3 years ago

I will mark brainliest. I need to write a proof for given: <1=<5 prove n||p I completely forgot how to do this and have at

Triss [41]

Answer:

<1 = <5 ( because it is a corresponding angle and corresponding angles are always equal )

hope this answer will help you

have a great time

4 0

3 years ago

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3. A Fahrenheit thermometer reads 63°F. If the temperature increases 10°F, to the nearest degree, what is the new temperature C,

Umnica [9.8K]

Formula to convert F to C:

(F -32) x 5/9

F = 63 + 10 = 73

73-32 = 41

41 x 5/9 = 22.77777

Rounded to the nearest degree = 23 C

8 0

3 years ago

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at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

#SPJ9

6 0

2 years ago

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A water tank is in the shape of a right circular Austin simulato water tank is in the shape of a right circular Cylinder with a

Burka [1]

⓵ To calculate the volume of a right circular cylinder, the formula is π times the radius of the circular base² time the height of the cylinder.

⓶ Now that we know that the equation to calculate the volume of a right circular cylinder is :

V = π x (r²) x h

You need to find the numbers to replace the volume (V) and the height (h) in the formula.

We already know that the volume is 320 square feet and that the height is 20 feet.

So we are left with a formula looking like this :

320 = π x (r²) x 20

⓷ Now we need to find the radius of the circular base! To do so, you need to solve this equation and isolate the “r”. Start by simplifying the right side :

320 = π x (r²) x 20
÷20 ÷20

↓

16 = π x r²
÷π ÷π

↓

5,09 ⋍ r²
√ √

↓

2,26 feet ⋍ r

⓸ Now that we knoe the value of the radius of the circular base, all there’s left to do is multiply this number by two in order to find the diameter of the water tank :

2,26 x 2 = d

↓

4,51 feet ⋍ d

So your final answer is : the diameter of the water tank is about 4,51 feet.

** Since I devided by “π”, all the answers I wrote from that point are rounded to the nearest hundredths just to make things easier to visualize, but I kept all of the decimals when doing the calculations. So it is possible that your answer might differ slightly from mine if you use the rounded numbers to calculate everything. Just keep that in mind!

I hope this helped, if there’s anything just let me know! ☻

4 0

3 years ago