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kvv77 [185]
3 years ago
9

You need to install a bracket for a ceiling tile. You place the foot of a ladder 6 feet

Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Answer:

14ft ???

Step-by-step explanation:

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Suppose you are ordering a calzone from D.P. Dough. You want 4 distinct toppings, chosen from their list of 8 vegetarian topping
Diano4ka-milaya [45]

Answer:

1680

Step-by-step explanation:

Number of distinct Toppings wanted = 4

Total number of vegetarian topping = 8

To choose 4 distinct toppings from a total of 8

Using permutation :

nPr : n! (n - r)!

8P4 = 8! / 4!

8P4 = (8*7*6*5)

8P4 = 1680

6 0
4 years ago
If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____
Sauron [17]
<h2>Answer:</h2>

2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)

So we need to find two things:

2\vec{v}-6\vec{u}

and:

||2\vec{v}-6\vec{u}||

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}

SECOND:

If we name:

\vec{w}=2\vec{v}-6\vec{u}

Then, ||2\vec{v}-6\vec{u}|| is the magnitude of the vector \vec{w}. Therefore:

||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}

5 0
3 years ago
Read 2 more answers
Lisa can paint a wall in four hours. Sissi needs eight hours to paint the wall. How long will it take if they are helped?
never [62]

Answer:

It will take very less time actually. we cannot say accurately because if two girls start to chat they will till next day

4 0
3 years ago
Can someone help me ???
Sphinxa [80]
Rational numbers are whole integers w no fractions. bc the square root of 72 is not a whole number, it is irrational
4 0
3 years ago
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all
Fittoniya [83]
Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive

We are given
P(A)=0.75  [ probability that Nathan is allergic ]
P(T|A)=0.98  [probability of testing positive given Nathan is allergic to Penicillin]

We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)

From definition of conditional probability,
P(T|A)=P(T n A)/P(A) 
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A) 
P(T n A) = 0.75*0.98 = 0.735




3 0
3 years ago
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