Master Solving Decimals: Equations & Problem-Solving Techniques

Use the Linear Approximation to estimate $Δ f = f (3.5) - f (3) for f (x) = \frac{3}{1 + x^{2}}$
a) $Δ f \approx$
b) $Δ f =$

Kody Whitaker 2022-09-27

For standard normal random variable Z, determine the value of constant c which makes the probability statements given below correct
a) $Φ (c) = 0.8888$
b) $P (0 \leq Z \leq c) = 0.334$
c) $P (- c \leq Z \leq c) = 0.488$
e) $P (c \leq | Z |) = 0.154$

Lindsey Ibarra 2022-09-25

I am having trouble to convert 1.8768686868... or 0.95287928792879...
If there is a quick simple technique for this?

Conrad Beltran 2022-09-23

Solve the system:
${\begin{cases} \frac{0.01 - x}{0.02} - 0.5 \leq \frac{2 - 3 x}{0.01} \\ \frac{3 - x}{0.1} \leq \frac{6 x + 8}{0.4} - 5 \end{cases}$
Is it a good idea to multiply by 10?

Daniella Reyes 2022-09-22

The repeating decimals $0. a b a b \bar{a b}$ and $. a b c a b c \bar{a b c}$ satisfy $0. a b a b \bar{a b} + 0. a b c a b c \bar{a b c} = \frac{33}{37}$ where a,b, and c are (not necessarily distinct) digits. Find the three-digit number abc.

katdoringlo 2022-09-17

How can one convert radicals to decimals(approximate value) when the number is not perfect such as $\sqrt{2}$ , $\sqrt{3}$ , $\sqrt{5}$ , etc. Without the use of calculators.

Slovenujozk 2022-09-17

Convert decimal fraction to decimal: $\frac{16}{1, 000}$

wurpenxd 2022-09-14

Which of the following is not a rational number?
a) $\sqrt{25}$
b) $\sqrt{45}$
c) $\sqrt{\frac{256}{225}}$
d) $\frac{3}{4}$

acapotivigl 2022-09-13

Convert the following numbers in the given base to decimal equivalents:
1) $174053_{8}$ into decimal
2) $10110101_{2}$ into decimal
3) $34_{8}$ into decimal
4) $1011_{2}$ into decimal
5) $F B 3 D_{16}$ into decimal
6) $3 E_{16}$ into decimal

Kendra Hudson 2022-09-11

When multiplying two decimal numbers, you first ignore the decimals, find the product, then count the number of decimal places that need to be in the answer by taking the sum of the original decimal places. Why exactly does this work?

batystowy2b 2022-09-11

1) For any natural $i, f (i) \leq (i - 1)$ .
2) If i divides a number of the form $b^{n - 1} + 1$ or $b^{n} - 1$ (for applicable n) then $f (i) \leq n$ (I believe this to be an equality if n is minimal).
3) If $i = j_{1} \times j_{2}$ with $j_{1}$ and $j_{2}$ coprime, then $f (i) \leq lcm (f (j_{1}), f (j_{2}))$ .

Andreasihf 2022-09-09

What two kind of decimals you times together to make 1?

tamolam8 2022-09-08

How many decimal places should the answer for x show?
$x = \frac{16.5}{253.25}$
a) one decimal place, two decimals places, three decimal places, four decimal places, or five decimal places.

Liam Keller 2022-09-05

Let $x > 0$ be real. Let $n_{0}$ be the largest integer such that $n_{0} ⩽ x$ (Note that the existance of $n_{0}$ depends on the archimedian property of R).
1) Why he write about natural number but he did not defines them?
2) How he uses archimedian property in existance of $n_{0}$ ?

Gauge Roach 2022-08-06

Convert the decimal $0. \bar{6}$ to a fraction by writing it as an infinite series. $0. \bar{6} =$

comAttitRize8 2022-07-19

Convert the decimal $0. \bar{2}$ to a fraction by writing it as an infinite series.

Dawson Downs 2022-07-17

the percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by $A (t) = 0.23 t e^{- 0.4 t} (0 \leq t \leq 12)$
a) What is the percentage of alcohol in a person's bloodstream after $\frac{1}{2}$ hr? And After 4 hr?
b) How fast is the percentage of alcohol in a person's bloodstream changing after $\frac{1}{2}$ hr? And After 4 hr?

EunoR 2021-09-26

Adding decimals. $456.07 + $2,000.09 + $3.52

fortdefruitI 2021-09-16

Adding decimals. $10,258.45 + $987.35 + $6,937.30

cistG 2021-08-22

In the following exercises, add or subtract.
Given: $- 4.2 + (- 9.3)$

When you are solving equations with fractions and decimals for your Calculus and Analysis course, it is only natural to feel lost since most students will not remember much from their high school years or any other past studies. Knowing about these challenges well, our Math experts have collected the list of questions and answers where equations with fractions have been used.

Since decimals have their specifics, it is important to take time to learn how these tasks must be approached. Remember to see how each equation can be reverse engineered and explore the original problems by turning to examples below.

Integral Calculus

Unlock Your Potential: Learn to Solve Decimal Equations Effortlessly