Solve.
5) Solve 2y + 12 < 42.
Show your work.

Answer:

524,288

Step-by-step explanation:

Hope this helps!

Answer: 224,175

Step-by-step explanation:

Answer:

-2.25

Step-by-step explanation:

Since there are 4 ticks between 2 numbers, we do 1/4 = 0.25

Now we find the value:

-2.25

Answer:

[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Area - Integrals

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

F: y = √(15 - x)

G: y = √(15 - 3x)

H: y = 0

Step 2: Find Bounds of Integration

Solve each equation for the x-value for our bounds of integration.

F

G

This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.

We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).

Step 3: Find Area of Region

Integration Part 1

Step 4: Identify Variables

Set variables for u-substitution for both integrals.

Integral 1:

u = 15 - x

du = -dx

Integral 2:

z = 15 - 3x

dz = -3dx

Step 5: Find Area of Region

Integration Part 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

Answer:

53 feet.

Step-by-step explanation:

2(Width)+2(Length)=Perimeter

--> 2(43)+2(Length)=192

--> 86+2(Length)=192

--> 2(Length)=106

Length = 53

Answer:

1- true

2- false

3- false

4- true

Answer:

91.631 is less than 91.681

Step-by-step explanation:

approximately:

91.631= 91.6

91.681= 91.7

Answer:

-8.45, 0.95, 8.25

Step-by-step explanation:

The easiest way to do this is to convert the fraction to a decimal, and then compare the values.

8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.

Now, let's compare values.

Numbers we need to compare: -8.45, 0.95, 8.25

The smallest number is -8.45, then 0.95, and lastly, 8.25.

Thus the answer is

-8.45, 0.95, 8.25

Answer: I think it is 67

Step-by-step explanation:

Answer:

arrow A

Step-by-step explanation:

6 out of 30 or 1/5 which is arrow A

Answer:

100

Step-by-step explanation:

Answer:

for 8 gram bottle =  2 cases

for 20 gram bottle = 3 cases

for 30 gram bottles = 2 cases

Step-by-step explanation:

Determine how many cases of each bottle type Damien needs to order

i) For 8-gram bottles

available bottles = 156

required amount ≥ 400

extra bottles to be ordered = 400 - 156 = 244 bottles

since case contains 140 bottles , the number of cases to be ordered

= 244 / 140 = 1.74 cases ≈ 2 cases

ii) for 20 gram bottles

available bottles = 78

required amount  ≥ 400

Extra bottles to be ordered = 400 - 78 = 322 bottles

therefore the number of cases = 322 / 140 = 2.3 cases ≈ 3 cases

iii) For 30 gram bottles

available bottles = 132

required amount  ≥ 400

Extra bottles to be ordered = 400 - 132 = 268

therefore the number of cases = 268 / 140 = 1.9 ≈ 2 cases

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

the value of the required slope can be calculated from:

[tex]s=\frac{y_1-y_2}{x_1-x_2};[/tex]

[tex]s=\frac{10-8}{2-5};[/tex]

finally,

[tex]s=-\frac{2}{3}.[/tex]

Note, the suggested option is not the only one.

Answer:

180 sq.cm

Step-by-step explanation:

A = 10 x 10 + 16 x 5 x 1/2 x 2

A = 100 + 16 x 5

A = 100 + 80

A = 180 square cm

Hope that helps!

Answer:

no

Step-by-step explanation:

pls give brainliest :)

Answer:

X<3

Will be ur answer i guess .

Answer:

E = 96

Step-by-step explanation:

Given the following data;

E = kf .......equation 1.

When E = 24, f = 6

First of all, we would have to find the constant k;

Substituting the values into eqn 1, we have;

24 = k6

k = 24/6

k = 4

To find the value of E, when f = 24

E = kf

Substituting into the equation, we have;

E = 4*24

E = 96

Answer:

48 is the answer because if you were to have been remembering past questions that has that same picture but answered it would be 48

Answer:

only 5 points ;(

Step-by-step explanation:

Answer:

B) 0.0000000000003

Step-by-step explanation:

Hope this helps.

Răspuns:

7/5;

2 întreg 5/12

Explicație pas cu pas:

6/7 × (2 numere întregi și 5 / 6-1 numere întregi și 1/5)

6/7 * (2 5/6 - 1 1/5)

6/7 * (17/6 - 6/5)

6/7 * (85 - 36) / 30

7/7 * 49/30

1/1 * 7/5

= 7/5

2.)

5/8 × 1 întreg și 2/3 + 11/5

5/8 * (1 2/3 + 11/5)

5/8 * (5/3 + 11/5)

5/8 * (25 + 33) / 15

5/8 * 58/15

1/8 * 58/3

= 58/24

= 2 întreg 10/24

= 2 întreg 5/12

Answer: i don't no the answer, but do u go to connexus acadeny

Step-by-step explanation:

Answer:

g= green chips       r= red chips

3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total

Step-by-step explanation:

uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...

Answer:

area 1

Step-by-step explanation:

Answer:

18 ft

Step-by-step explanation:

6 ft + 3 ft + 6 ft + 3 ft = 18 ft

Answer:

18 ft

Step-by-step explanation:

if its 6 feet tall and 3 feet wide you add 6+6+3+3

Answer:

Car 1 . Exponential function

The value ratios are constant:

Car2. Linear function

The value differences are constant:

Car 1

Car 2

Car 1

Car 2

Car 1 will have a greater price

The equation that produces the circle in the given graph is; x² + y² = 16

The general form of equation of a circle is;

(x - h)² + (y - k)² = r²

where;

h, k are coordinates of the circle center

r is the radius

From the graph, we can see that the coordinates of the center is; (0, 0).

Also, radius is;

r = √(4² - 0²)

r = √16

Thus, our equation of the circle in the graph is;

(x - 0)² + (y - 0)² = (√16)²

⇒ x² + y² = 16

Read more about Circle Equation at; https://brainly.com/question/1559324

#SPJ1

Answer:

x^2/20+y^2/20=1 is the correct answer.

Step-by-step explanation: