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3 years ago

Please help i dont understand

Mathematics

1 answer:

Llana [10]3 years ago

4 0

Answer:

imma say 45m

Step-by-step explanation:

im not sure but tell me if im wrong so i can fix it. thanks

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Can anyone help me solve this

kumpel [21]

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

ab = 25

log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

log₄ a/b = 3

2.- Convert the log to an exponent

a/b = 4³

a/b = 64 Equation l

ab = 25 Equation ll

3.- Solve equation l for a

a = 64b

4.- Substitute in equation ll

(64b)b = 25

-Simplify

64b² = 25

-Solve for b

b² = 25/64

b = 5/8

5.- Substitute the value of b to find a

a = 64(5/8)

-Simplification

a = 40

4 0

3 years ago

FIRST CORRECT ANSWER WILL GET BRAINLIEST

mezya [45]

Answer:

They are parallel.

Step-by-step explanation:

They have the same slope, 7, and different y-intercepts, 4, -1/4, so they are parallel.

5 0

1 year ago

At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

Find to one decimal place, the area of:

Maru [420]

Answer:que?

Step-by-step explanation:

4 0

3 years ago

Find m angle f to the nearest degree

dimaraw [331]

Answer:

∠F ≈ 53°

General Formulas and Concepts:

Trigonometry

sin∅ = opposite over hypotenuse
sin inverse evaluates "backward" to find the measure angle

Step-by-step explanation:

Step 1: Define

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

Step 2: Find m∠F

Substitute: sin∠F = 8/10
Simplify: sin∠F = 4/5
Take sin inverse: ∠F = sin⁻¹(4/5)
Evaluate: ∠F = 53.1301°
Round: ∠F ≈ 53°

8 0

3 years ago