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3 years ago

14

Sales tax is currently 9.5% write an algebraic expression to represent the total amount paid for an item that cost d dollars aft

er tax is added to the purchase

1 answer:

alina1380 [7]3 years ago

6 0

Answer:

1.095d

Step-by-step explanation:

The after-tax amount is ...

d + 0.095d = d(1 +0.095)

= 1.095d

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What is the value of the function f(x) = 2x – 5 when x = 22? A17 B49 C105 D39

enyata [817]

<span>f(x) = 2x – 5

</span><span>f(22) = 2(22) – 5 = 44 -5 = 39

answer

</span><span>D39</span>

8 0

3 years ago

Solid: A square pyramid. The square base has side lengths of 5. The 4 triangular sides have a base of 5 and height of 7. What is

lina2011 [118]

Answer:

95 square units

Step-by-step explanation:

Surface area of pyramid = 4(side area) + base

Solve for the base first.

Area of base = s*s = 5*5 = 25

Next solve for one of the sides.

Area of triangle = 1/2 b*h = 1/2 5*7 = 17.5

Plug these back into our original equation.

Surface area of pyramid = 4(side area) + base

Surface area of pyramid = 4(17.5) + 25

Surface area of pyramid = 70 + 25 = 95 square units

4 0

3 years ago

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How do you Convert feet to metres<br>

poizon [28]

The conversion of feet to meters is obtained by multiplying 1 foot = 0.3048 meters.

<h3>What are the basic measurements for length?</h3>

Foot, inches, centimeters, and meters are the basic measuring units for length.

<h3>What are the basic conversions?</h3>

The basic conversions are:

1 kilometer = 1000 meters

1 meter = 100 cm

1 cm = 10 mm

1 mm = 0.03937 inch

1 inch = 0.0833 feet.

<h3>How to convert feet to meters?</h3>

According to the international system of units,

1 foot = 12 inches ...(1)

But we know,

1 inch = 25.4 mm, 1 mm = 0.1 cm, and 1 cm = 0.01 m

By substituting all of these in equation (1), we get

1 foot = 12(25.4 mm)

= 304.8 mm

= 304.8 (0.1 cm)

= 30.48 cm

= 30.48(0.01 m)

= 0.3048 meters

Therefore, 1 foot = 0.3048 meters.

Learn more about converting measuring units here:

brainly.com/question/174910

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4 0

2 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:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

<u>Calculus</u>

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:

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

<u />

<u>Step 1: Define</u>

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

<u>Step 2: Identify Bounds of Integration</u>

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

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

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

<u>Step 3: Find Area of Region</u>

<em>Integration</em>

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

your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your who

Elodia [21]

Answer:

4 hours

Step-by-step explanation:

In 6 hours, J paints 1 room

So, in 1 hour, J paints 1/6 th of the room

Using similar logic, in 1 hour, T paints 1/12 th of the room.

Working together in one hour, they paint (1/6+1/12) th =1/4 of the room.

1/4 of the room is painted in 1 hour

So, 1 room is painted in 1 1/4=4 hours

5 0

2 years ago

Read 2 more answers