Lo ran 6 ¼ miles Thelma ran 1 2/3 miles. How many times further did Lo run than Thelma?

Hi:) I need help with 11(a) , thanks!:))

Irina-Kira [14]

Answer:

18.95

Step-by-step explanation:

ln 2 x ln (4x) = 3

ln 4x = = 3 / ln 2

ln4x = 3 / 0.69315 = 4.3281

4x = e^4.328 = 75.80

x = 18.95.

7 0

4 years ago

A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is the length of the shortest l

seraphim [82]

You first need to figure out if all the triangles are the same and multiply the hypotonus by 2 to get the length of the ladder
the length of the shortest ladder that will reach from the ground over the fence to the wall of the building would be :
16.65 Ft

i hope this helps you out

8 0

3 years ago

Determine the length of side CB

NeX [460]

Answer:

C) 5√3

Step-by-step explanation:

To find the length of sides CB, use the tan of 30 degrees.

tan 30 = 5/x Simplify

0.577 = 5/x Divide both sides by 0.577

x = 8.66 or 5√3

If this answer is correct, please make me Brainliest!

4 0

3 years ago

Find the area of the region enclosed by the graphs of the functions

Vaselesa [24]

Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

Calculus

Area - Integrals

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

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

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

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

Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx$
[Area] Rewrite [Integration Property - Subtraction]: $\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx$
[Area] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}$
[Area] Evaluate [Integration Rule - FTC 1]: $\displaystyle A = \frac{2}{3} - \frac{2}{7}$
[Area] Subtract: $\displaystyle A = \frac{8}{21}$

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

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

Book: College Calculus 10e

6 0

3 years ago

In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasi

tangare [24]

Answer:

Step-by-step explanation:

This is a binomial probability distribution because there re only 2 possible outcomes. It is either a surveyed company outsourced some part of their manufacturing process in the past two to three years. The probability of success, p would be that a randomly selected company x, outsourced some part of their manufacturing process in the past two to three years. From the information given, p = 54/100 = 0.54

Number of success, x = 338

Number of samples, n = 555

We want to determine the probability that 338 or more companies outsourced some part of their manufacturing process in the past two or three years which is expressed as

P(x ≥ 338)

From the binomial probability calculator,

P(x ≥ 338) = 0.0006

The percentage is 0.0006 × 100 = 0.06%

4 0

3 years ago