Twice Jaden's age is equal to 3 times his age minus ten. How old is Jaden? Write only his age.

The depth of a scuba diver can be modeled by the equation d 0.5t (3.5t- 28.25), where d is the depth in meters of the diver and

user100 [1]

We know that

using a graph tool
see the attached figure

The diver reaches the surface when d = 0
so
0.5t (3.5t- 28.25)=0---------> the solution is
0.5t=0--------> t=0
and
(3.5t- 28.25)=0----------> 3.5t=28.25--------> t=28.25/3.5--------> t=8.07 minutes


the time it takes for the diver to reach the surface is when the depth is zero
the time is 8 minutes

the answer is
8 minutes

8 0

3 years ago

Ben is taking three AP classes and two regular classes. His AP classes count twice as much as his regular classes in his GPA. Ea

zhannawk [14.2K]

This problem deals with a weighted average. Since the AP classes count twice as much as regular classes, their grades must be counted twice. It's as if for each AP class he's taking, he was taking two classes. The points of each AP class grade is added twice, and the each AP class counts as 2 classes in the number of classes.

Each AP class counts twice and counts as 2 classes.

Class Ben's grade Points Number of Classes
AP English B 3 + 3 2
AP Government B 3 + 3 2
AP Algebra II A 4 + 4 2
Spanish B 3 1
Physics D 1 1
TOTALS 24 8

GPA = (total points)/(number of classes) = 24/8 = 3

Answer: B 3.0

7 0

3 years ago

Kelly was baking bread but could only find her 1/8 cup measuring cup. She needs 1/4 cup sugar,3/4 cup whole wheat flour, and 1/2

irga5000 [103]

Answer:

Step-by-step explanation:

cups

for sugar=1/4÷1/8=1/4×8=2

whole wheat flour=3/4÷1/8=3/4×8=6

all purpose flour=1/2÷1/8=1/2×8=4

6 0

3 years ago

I have no idea what im doing someone help pls! due soon

Irina18 [472]

4x2-28x+49

Final result :

(2x - 7)2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22x2 - 28x) + 49

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 4x2-28x+49

The first term is, 4x2 its coefficient is 4 .

The middle term is, -28x its coefficient is -28 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 4 • 49 = 196

Step-2 : Find two factors of 196 whose sum equals the coefficient of the middle term, which is -28 .

-196 + -1 = -197

-98 + -2 = -100

-49 + -4 = -53

-28 + -7 = -35

-14 + -14 = -28 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and -14

4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (2x-7)

Add up the last 2 terms, pulling out common factors :

7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

(2x-7) • (2x-7)

Which is the desired factorization

Multiplying Exponential Expressions :

2.2 Multiply (2x-7) by (2x-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (2x-7) and the exponents are :

1 , as (2x-7) is the same number as (2x-7)1

and 1 , as (2x-7) is the same number as (2x-7)1

The product is therefore, (2x-7)(1+1) = (2x-7)2

Final result :

(2x - 7)2

7 0

3 years ago

Read 2 more answers

Jessica is a custodian at Oracle Arena. She waxes 20 \text{ m}^220 m 2 20, space, m, start superscript, 2, end superscript of th

Evgesh-ka [11]

Given that Jessica is a custodian at Oracle Arena.

She waxes 20 square meters space of the floor in 5/3 of an hour. Jessica waxes the floor at a constant rate means rate will remain fixed for any hour.

Now we have to find about how many square meters can she wax per hour.

To find that we just need to divide 20 squaer meters by 5/3 hours

$\frac{20}{\left(\frac{5}{3}\right)}$