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emmainna [20.7K]

2 years ago

15

Rick drove for 45 minutes on Wednesday for a distance of 34.5 miles. On Thursday, he increased his speed by 3 miles per hour, an

d he drove for 75 minutes. How many miles did Rick drive on Thursday?

1 answer:

riadik2000 [5.3K]2 years ago

7 0

Answer:

is d and a

Step-by-step explanation:

You might be interested in

The_____ is an incremental development process that has less emphasis on team coding and more emphasis on limiting a project's s

denis-greek [22]

Answer:

D) Agile methodology

Step-by-step explanation:

Agile methodology can be described as a technique employed to to manage a project by a team whereby the project is divided into several stages and thereby necessitate the need for a constant collaboration among the stakeholders as well as continuous improvement and iteration at each of the stages of the project.

The description of the nature of the utilization of the end product and the definition of problem to be solved by the clients indicates the commencement of the agile methodology. The aim is to ensure the expectations of the clients are made clear to the project team.

After the commencement of the work, an incremental development process of planning, executing, and evaluating is constantly repeated by the teams with little emphasis on team coding and more emphasis one limiting the scope of the project so that the final deliverable of the project is altered with the sole aim of meeting the requirements of the customer better.

Therefore, the correct option is D, that is the <u>agile methodology</u> is an incremental development process that has less emphasis on team coding and more emphasis on limiting a project's scope.

6 0

3 years ago

Caleb wants to kayak. Kayak rentals cost $14.50 for a half a hour. If Caleb rents a kayak for one hour and forty five minutes ho

svet-max [94.6K]

Answer:

$50.75

Step-by-step explanation:

There are 2 half hours in 1 hour. Since he needs the kayak for 3 half hours, you can multiply the $14.50 by 3. You still need to get the extra 15 minutes. Since a half hour is 30 minutes, and 30 divided by 2 is 15, you can divide 14.5 by 2 to get 7.25. 7.25+ (14.5×3)=15.75.

3 0

3 years ago

Read 2 more answers

Please help! Its for my big test tomorrow!

Travka [436]

Answer:

# The solution x = -5

# The solution is x = 1

# The solution is x = 6.4

# The solution is x = 4

# The solution is 1.7427

# The solution is 0.190757

Step-by-step explanation:

* Lets revise some rules of the exponents and the logarithmic equation

# Exponent rules:

1- b^m × b^n = b^(m + n) ⇒ in multiplication if they have same base

we add the power

2- b^m ÷ b^n = b^(m – n) ⇒ in division if they have same base we

subtract the power

3- (b^m)^n = b^(mn) ⇒ if we have power over power we multiply

them

4- a^m × b^m = (ab)^m ⇒ if we multiply different bases with same

power then we multiply them ad put over the answer the power

5- b^(-m) = 1/(b^m) (for all nonzero real numbers b) ⇒ If we have

negative power we reciprocal the base to get positive power

6- If a^m = a^n , then m = n ⇒ equal bases get equal powers

7- If a^m = b^m , then a = b or m = 0

# Logarithmic rules:

1- $log_{a}b=n-----a^{n}=b$

2- $loga_{1}=0---log_{a}a=1---ln(e)=1$

3- $log_{a}q+log_{a}p=log_{a}qp$

4- $log_{a}q-log_{a}p=log_{a}\frac{q}{p}$

5- $log_{a}q^{n}=nlog_{a}q$

* Now lets solve the problems

# $3^{x+1}=9^{x+3}$

- Change the base 9 to 3²

∴ $9^{x+3}=3^{2(x+3)}=3^{2x+6}$

∴ $3^{x+1}=3^{2x+6}$

- Same bases have equal powers

∴ x + 1 = 2x + 6 ⇒ subtract x and 6 from both sides

∴ 1 - 6 = 2x - x

∴ -5 = x

* The solution x = -5

# ㏒(9x - 2) = ㏒(4x + 3)

- If ㏒(a) = ㏒(b), then a = b

∴ 9x - 2 = 4x + 3 ⇒ subtract 4x from both sides and add 2 to both sides

∴ 5x = 5 ⇒ divide both sides by 5

∴ x = 1

* The solution is x = 1

# $log_{6}(5x+4)=2$

- Use the 1st rule in the logarithmic equation

∴ 6² = 5x + 4

∴ 36 = 5x + 4 ⇒ subtract 4 from both sides

∴ 32 = 5x ⇒ divide both sides by 5

∴ 6.4 = x

* The solution is x = 6.4

# $log_{2}x+log_{2}(x-3)=2$

- Use the rule 3 in the logarithmic equation

∴ $log_{2}x(x-3)=2$

- Use the 1st rule in the logarithmic equation

∴ 2² = x(x - 3) ⇒ simplify

∴ 4 = x² - 3x ⇒ subtract 4 from both sides

∴ x² - 3x - 4 = 0 ⇒ factorize it into two brackets

∴ (x - 4)(x + 1) = 0 ⇒ equate each bract by 0

∴ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

OR

∵ x + 1 = 0 ⇒ subtract 1 from both sides

∴ x = -1

- We will reject this answer because when we substitute the value

of x in the given equation we will find $log_{2}(-1)$ and this

value is undefined, there is no logarithm for negative number

* The solution is x = 4

# $log_{4}11.2=x$

- You can use the calculator directly to find x

∴ x = 1.7427

* The solution is 1.7427

# $2e^{8x}=9.2$ ⇒ divide the both sides by 2

∴ $e^{8x}=4.6$

- Insert ln for both sides

∴ $lne^{8x}=ln(4.6)$

- Use the rule $ln(e^{n})=nln(e)$ ⇒ ln(e) = 1

∴ 8x = ln(4.6) ⇒ divide both sides by 8

∴ x = ln(4.6)/8 = 0.190757

* The solution is 0.190757

7 0

3 years ago

Read 2 more answers

Mark, June & Henry share some money in the ratio 1 : 9 : 4.

Sladkaya [172]

45

Mark brainliest please

Hope this helps

4 0

2 years ago

Read 2 more answers

Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the sq

lara31 [8.8K]

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

4 0

2 years ago

Read 2 more answers