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Alex
3 years ago
13

Find the mathematical expression that describes the pattern 3, 7, 11, 15...

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

a+(n−1)d

hope this helps

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Does anyone know how to do this? I’m confused
nikklg [1K]

Answer:

cos(θ)

Step-by-step explanation:

Para una función f(x), la derivada es el límite de  

h

f(x+h)−f(x)

​

, ya que h va a 0, si ese límite existe.

dθ

d

​

(sin(θ))=(  

h→0

lim

​

 

h

sin(θ+h)−sin(θ)

​

)

Usa la fórmula de suma para el seno.

h→0

lim

​

 

h

sin(h+θ)−sin(θ)

​

 

Simplifica sin(θ).

h→0

lim

​

 

h

sin(θ)(cos(h)−1)+cos(θ)sin(h)

​

 

Reescribe el límite.

(  

h→0

lim

​

sin(θ))(  

h→0

lim

​

 

h

cos(h)−1

​

)+(  

h→0

lim

​

cos(θ))(  

h→0

lim

​

 

h

sin(h)

​

)

Usa el hecho de que θ es una constante al calcular límites, ya que h va a 0.

sin(θ)(  

h→0

lim

​

 

h

cos(h)−1

​

)+cos(θ)(  

h→0

lim

​

 

h

sin(h)

​

)

El límite lim  

θ→0

​

 

θ

sin(θ)

​

 es 1.

sin(θ)(  

h→0

lim

​

 

h

cos(h)−1

​

)+cos(θ)

Para calcular el límite lim  

h→0

​

 

h

cos(h)−1

​

, primero multiplique el numerador y denominador por cos(h)+1.

(  

h→0

lim

​

 

h

cos(h)−1

​

)=(  

h→0

lim

​

 

h(cos(h)+1)

(cos(h)−1)(cos(h)+1)

​

)

Multiplica cos(h)+1 por cos(h)−1.

h→0

lim

​

 

h(cos(h)+1)

(cos(h))  

2

−1

​

 

Usa la identidad pitagórica.

h→0

lim

​

−  

h(cos(h)+1)

(sin(h))  

2

 

​

 

Reescribe el límite.

(  

h→0

lim

​

−  

h

sin(h)

​

)(  

h→0

lim

​

 

cos(h)+1

sin(h)

​

)

El límite lim  

θ→0

​

 

θ

sin(θ)

​

 es 1.

−(  

h→0

lim

​

 

cos(h)+1

sin(h)

​

)

Usa el hecho de que  

cos(h)+1

sin(h)

​

 es un valor continuo en 0.

(  

h→0

lim

​

 

cos(h)+1

sin(h)

​

)=0

Sustituye el valor 0 en la expresión sin(θ)(lim  

h→0

​

 

h

cos(h)−1

​

)+cos(θ).

cos(θ)

5 0
3 years ago
Read 2 more answers
A jar of peanut butter holds 40 ounces. When you make a sandwich, you use two ounces. Which equation best represents the amount
Elodia [21]
2 ounces each sammich made
x=number of sammiches made
y=amount left

amount left=full-gotten
y=40-2 times number of sammiches
y=40-2x
or
y=-2x+40

D is da answer
6 0
4 years ago
after the outbreak of a mysterious disease, the average wait time at a hospital by 70%. Before the outbreak, the average wait ti
Juli2301 [7.4K]

Answer:

1.7m

Step-by-step explanation:

Given that 'm' was the waiting time before the outbreak

After the outbreak, waiting time increased by 70%.

This implies that :

70% of m increase

m + 70% of m

m + 70/100 of m

m + ( 70÷100 ) × m

m + 0.7m

= 1.7m

Step-by-step explanation:

6 0
3 years ago
A zoo has 2 male lions one sixth oh the lions are male lions how many lions are there at the zoo ?
DerKrebs [107]
If you multipy 2 times 6 the answer would be 12
4 0
3 years ago
You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a
Leno4ka [110]

Answer:

West Elm Savings and Loan

a) The amount of the down payment is:

= $34,000

b) The amount of the mortgage for which the Bradys are applying is:

= $170,000.

c) The amount of the principal of $136,000 ($170,000 - $34,000) and the interest portion of the monthly payment by the Brady's is:

= $730.32

d. The total amount of interest that will be paid over the life of the loan is:

= $126,915.20

e) Total monthly payment = $994.32

f) No, they will not qualify.

g) The monthly income that would be required to qualify for this size of mortgage payment is:

= $3,977.28

Step-by-step explanation:

a) Data and Calculations:

Market value of mortgage house = $170,000

Required down payment = 1/5 or 20%

a) The amount of the down payment = $34,000 ($170,000 * 20%)

b) The amount of the mortgage for which the Bradys are applying is = $170,000.

c) Interest on the loan = $5.37 for every $1,000

The amount of the principal of $136,000 ($170,000 - $34,000) and interest portion of the monthly payment by the Brady's = $730.32 ($5.37 * $136,000/$1,000)

d. The total amount of interest that will be paid over the life of the loan is:

= $126,915.20 ($262,915.20 - $136,000)

Sum of all periodic payments = $262,915.20 = ($730.32 * 12 * 30)

e) Annual Property tax =         $1,710

Annual Property insurance     1,458

Total additional annual pyts $3,168

Monthly additional costs = $264 ($3,168/12)

Total monthly payment = $994.32 ($730.32 + $264)

f) Bradys' combined monthly income = $3,750

Qualification threshold = $937.50 ($3,750/4)

No, they will not qualify.

g) The monthly income that would be required to qualify for this size of mortgage payment is:

= $3,977.28 ($994.32/0.25)

3 0
3 years ago
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