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3 years ago

Write each repeating decimal using bar notation.

Mathematics

1 answer:

Ahat [919]3 years ago

3 0

Answer:

___

2.034

over .034

0.92

over 2

0.7

over 7

Step-by-step explanation:

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Roger has 2 1/2 cups of peanut butter. A recipe for a loaf of bread requires 3/4 cups of butter. How many loaves of bread can he

Sergio [31]

Answer:

3 loaves of bread

Step-by-step explanation:

We must divide $2\frac12$ by $\frac34$ and take an integer part of this dividing.

$2\frac12:\frac34=\frac52:\frac34=\frac52\cdot\frac43=\frac{20}{6}=\frac{10}3=3\frac13$

The integer part of a mixed fraction $3\frac13$ is 3, and this is the answer.

6 0

3 years ago

Please help me if possible

qaws [65]

Answer:

obtuse triangle

Step-by-step explanation:

8 0

3 years ago

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Ethan’s car averages 22 miles per gallon of gas. Predict how far he can travel on 5 gallons of gas.

Andru [333]

Answer:

110 have a good one

Step-by-step explanation:

22x5 is 110

4 0

3 years ago

What is the correct Unit Rate for 54 pints of juice in 3 containers? *

PilotLPTM [1.2K]

Answer:

0.0555 containers

Step-by-step explanation:

We need to find the unit rate for 54 pints of juice in 3 containers. It means we need to find quantity of juice in 1 container.

54 pints = 3 containers

1 pint = $\dfrac{1}{18}\ \text{containers}$

1 pint = 0.0555 containers

So, unit rate is 0.0555 containers.

7 0

3 years ago

Use the Fundamental Theorem of Calculus to find the "area under curve" of

lozanna [386]

Answer:

$\displaystyle A = 300$

General Formulas and Concepts:

Calculus

Integrals

Definite Integrals
Area under the curve
Integration Constant C

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 [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

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:

Step 1: Define

Identify

f(x) = 6x + 19

Interval [12, 15]

Step 2: Find Area

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^{15}_{12} {(6x + 19)} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^{15}_{12} {6x} \, dx + \int\limits^{15}_{12} {19} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 6\int\limits^{15}_{12} {x} \, dx + 19\int\limits^{15}_{12} {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 6(\frac{x^2}{2}) \bigg| \limits^{15}_{12} + 19(x) \bigg| \limits^{15}_{12}$
Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: $\displaystyle A = 6(\frac{81}{2}) + 19(3)$
Simplify: $\displaystyle A = 300$

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

Unit: Integration

Book: College Calculus 10e

7 0

3 years ago