Given that a=4 and b=5. evaluate : a²+3b​

Answer:

Since the taxis are heading directly towards each other, we will assume the path between them to be a straight line

We have 2 taxis coming towards each other, which means that we have 2 observers in this system

so from now on, we will see this situation from the eyes of the driver coming at the speed of 40mph

Now imagine yourself in a car. if you are in a moving car, a tree outside will look like it is moving in the opposite direction and it will be doing so at the same speed as the speed of your car and we will always feel like we are at rest

so, we can say that when we are in a car, the objects coming towards us will have our car's velocity added to their velocity, as in the above case, the speed of the tree is 0mph and your speed is v mph, which causes the tree to move back at a velocity of v mph

Now, back to the question. we are in a car moving at a speed of 40 mph and there is a car coming towards us is moving at a speed of 27 mph

If we look at the situation from the eyes of the driver of the car moving at a velocity 40 mph,

he is at rest and the other car is moving at a velocity of (40 + 27) = 67 mph

So, from the frame of reference of the 40mph driver, the other car is moving at 67 mph and the time taken by a car moving at 67 mph to cover 7 miles is the time in which the taxis will meet

Hence, time taken by a 67 mph car to cover 7 miles

time = distance / speed

time = 7 / 67

time = 0.1 hour (approx) or 6 minutes

Therefore, the taxis will meet after 6 minutes

Answer:

-12 feet represents the least feet and the farthest from sea level.

Step-by-step explanation:

Answer:

[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3

Step-by-step explanation:

5/4 = 1.25

11/3 = 3.67

[tex]\sqrt{3} =1.73[/tex]

[tex]\sqrt{1} =1[/tex]

1.23

1.9

Numbers from least to greatest:

[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3

Answer:

Huh now?

Step-by-step explanation:

I am sorry but I do not understand

Answer:

It is A

Step-by-step explanation:

Answer:

A) 79.08%

B) 5.55%

C)p = 1/3 is more appropriate than p = 0.1

Step-by-step explanation:

This is a binomial probability distribution problem, so we will use the formula;

P(k) = (n!/(k!(n - k)!) × p^(k) × (1 - p)^(n-k)

We want to Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 = 0.3333 and the probability of observing 4 or more abused women in a sample of 15 if p = 0.10

Thus;

P(X ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + (P(11) + P(12) + P(13) + P(14) + P(15)

A) Thus at p = 0.3333;

P(4) = (15!/(4!(15 - 4)!) × 0.3333^(4) × (1 - 0.3333)^(15-4) = 0.1949

P(5) = (15!/(5!(15 - 5)!) × 0.3333^(5) × (1 - 0.3333)^(15-5) = 0.2143

Using online binomial probability calculator we can get the remaining values which are;

P(6) = 0.1786

P(7) = 0.1148

P(8) = 0.0574

P(9) = 0.0223

P(10) = 0.0067

P(11) = 0.0015

P(12) = 0.0003

P(13) = 0.0000

P(14) = 0.0000

P(15) = 0.0000

Thus;

P(X ≥ 4) = 0.1949 + 0.2143 + 0.1786 + 0.1148 + 0.0574 + 0.0223 + 0.0067 + 0.0015 + 0.0003 + 0 + 0 + 0 = 0.7908 = 79.08%

B) Now,for p = 0.1 and Using online binomial probability calculator, we have;

P(4) = 0.0428

P(5) = 0.0105

P(6) = 0.0019

P(7) = 0.0003

P(8) = 0.0000

P(9) = 0.0000

P(10) = 0.0000

P(11) = 0.0000

P(12) = 0.0000

P(13) = 0.0000

P(14) = 0.0000

P(15) = 0.0000

P(X ≥ 4) = 0.0428 + 0.0105 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0555 = 5.55%

C) Comparing both Probabilities, 79.08% is far higher than 5.55%. Thus we can say that p = 1/3 is more appropriate than p = 0.1

Answer:

1

Step-by-step explanation:

f(-3/5)=-5(-3/5)-2

f(-3/5)=3-2

f(-3/5)= 1

Answer:

3,840 cubic feet

Step-by-step explanation:

V=LWH

V= 40X24X4

V=3,840 cubic feet

Answer:

Mean =[tex]\sum x P(x) = 36.86[/tex]

Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]

Step-by-step explanation:

x          P(x) [tex]x \times P(x)[/tex]       [tex]x^2 \times P(x)[/tex]

33         0.02     0.66          21.78

34          0.06     2.04         69.36

35           0.1      3.5        122.5

36           0.2      7.2         259.2

37           0.24     8.88        328.56

38           0.26     9.88        375.44

39            0.1     3.9         152.1

40            0.02     0.8         32

             1        36.86      1360.9

We are supposed to find mean and standard deviation

Mean =[tex]\sum x P(x) = 36.86[/tex]

Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]

Answer:

Step-by-step explained :

Answer:

y= -1/2 x + 1

Step-by-step explanation:

The line passes through point (0, 1) and is perpendicular to line with equation :

y=2x

Perpendicular lines are those that give -1 when the product of their slopes is calculated.

This means m₁ *m₂= -1

In this case, m₁=2, finding m₂ as;

m₁ * m₂ = -1

2  * m₂ = -1

      m₂ = -1/2

Using point  (0, 1),m₂ = -1/2, and imaginary line (x, y) then the equation of the line in slope-intercept form y= mx + b will be;

-1/2 = y-1/x-0

-1/2 x = y-1

1-1/2x = y

The equation will be ;

y= -1/2 x + 1

Answer:

$407.50

Step-by-step explanation:

take 9.75 × 17=165.75

take 9.75 × 25=243.75

add 165.75 and 243.75=407.50

turn into dollars $407.50

Answer:

  the product of the two numbers

Step-by-step explanation:

The LCM of two numbers is their product, divided by their GCF. If their GCF is 1, then the LCM will be their product. That is the most it can be.

__

We assume you're concerned with whole numbers. For rational numbers, the GCF may be a fraction, so the LCM may be larger than the product of the numbers.

  LCM(5, 6) = 5·6/GCF(5, 6) = 5·6/1 = 30

  LCM(1/2, 3/4) = (1/2)(3/4)/GCF(1/2, 3/4) = (3/8)/(1/4) = 3/2

Answer:

the price is 46.25 dollars

Step-by-step explanation:

Answer:

8+y

Step-by-step explanation:

Sum means that you are adding the constant 8 and the variable y.

Hope this helps!!

Answer:

8 + y

Step-by-step explanation:

"sum" means you are performing addition or adding two quantities/values together

Therefore, the "sum" of "8 and y" is just adding 8 and y together

You just put a plus sign between 8 and y to add them together, so you get 8 + y.

Hope this helps!

:)  

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

44

Answer:

Step-by-step explanation:

in a triangle, the sum of all angles is 180 (angle sum theorem). so use the equation 180=50+80+10x. then solve

1. combine like terms

it becomes 180=130+10x

2. subtract 130 from both sides

it becomes 50=10x

3. divide both sides by 10

it becomes 5=x

so, x=5

hope this helped :)

Answer: it should be the first one!! :)

Step-by-step explanation:

Answer:its the first one

Step-by-step explanation:did the test

Answer:

20000

Step-by-step explanation:

10 * 10       =     100

100 / 5      =     20

20 * 1000 =     2000

Answer:

5.4%

Hope This Helps!

Answer:

I'm pretty sure the answer is C

Answer:

Reflection about the y axis followed by a translation left by 2 units.

Step-by-step explanation:

There is the answer. ^

Answer:

[tex]x\leq -1[/tex]

Step-by-step explanation:

1. [tex]7x\leq 7-14[/tex]

2.[tex]7x\leq -7[/tex]

3. divide both sides by 7

4. [tex]x\leq -1[/tex]

Closed circle on -1 and the line goes to the left

Answer:8

Step-by-step explanation: 4x6=28

28 divided by 4 = 8

Answer:

13

Step-by-step explanation:

4+(-3)-2*(-6)

4-3-2*-6

1-(-12)

1+12

13

Answer: 13

Step-by-step explanation:

I Had The Same Problem So Try And Its Gonna Be Right.

Answer:

Step-by-step explanation:

-5 is a real number, right ?

- (-5) = 5 is not negative

thanks