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3 years ago

Find the difference. (5x2 + 2x + 11) − (7 + 4x − 2x2)

Mathematics

2 answers:

belka [17]3 years ago

7 0

Answer:

$7x^2-2x+4$

Step-by-step explanation:

$(5x^2+2x+11)-(7+4x-2x^2)$

Breaking the parentheses using the law of signs for addition / subtraction:

$5x^2+2x+11-7-4x+2x^2$

Combining like terms:

$(5x^2+2x^2)+(2x-4x)+(11-7)$

add/subtract like terms:

$7x^2-2x+4$

k0ka [10]3 years ago

6 0

<span>(5x^2 + 2x + 11) − (7 + 4x − 2x^2)
= </span>5x^2 + 2x + 11 − 7 - 4x + 2x^2
= 7x^2 - 2x + 4

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On a map the perimeter of the is 0.251 meters. The actual perimeters of the park is 1,000 times as large. What is the actual per

raketka [301]

The actual perimeter of the park is $\boxed{\bf251{\text{ meters}}}$ .

Further explanation:

Given:

The perimeter of the park is on a map $0.251{\text{ meters}}$ . The measured perimeter of the park is 1000 times as large.

Calculation:

The distance of the closed figure is called as the perimeter.

The perimeter of the attached Figure 1 can be calculated as,

$\begin{aligned}{\text{Perimeter}}&=a+a+b+b\\&=2\left({a+b}\right)\\\end{aligned}$

Here, $x,y{\text{ and }}z$ is the length of the shape.

From place value chart, 10 tens is equal to 1 hundreds.

Tenths are one place after the decimal and hundredths are two places after the decimal.

Two tenths can be written in the form of decimal as follows:

$\dfrac{2}{{10}}=0.2$

Five hundredths can be written in the form of decimal as follows:

$\dfrac{5}{{100}}=0.05$

One thousandths can be written in the form of decimal as follows:

$\dfrac{1}{{1000}}=0.001$

Therefore, the number 0.251 can be written as,

$\begin{aligned}0.251&=\frac{2}{{10}}+\frac{5}{{100}}+\frac{1}{{1000}}\\&=0.2+0.05+0.001\\&=0.251\\\end{aligned}$

On the map the perimeter of the park is $0.251{\text{ meters}}$ .

Let ${\text{P}}$ be the actual perimeter of the park.

The actual perimeter of the park can be calculated as follows,

$\begin{aligned}{\text{P}}&=0.251\times1000\\&=251{\text{ meters}}\\\end{aligned}$

Thus, the actual perimeter of the park is $\boxed{\bf251{\text{ meters}}}$ .

Learn more:

1. Learn more about problem on function brainly.com/question/1632445

2. Learn more about problem on triangle brainly.com/question/7437053

3. Learn more about problem on range and domain of functions brainly.com/question/3412497

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Numbers

Keywords: Perimeter, park, map, , measured, 1000 times large, distance, closed figure, length, shape, place value chart, hundreds, tenths.

6 0

3 years ago

Read 2 more answers

A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems. (a) What

Scilla [17]

Answer:

a) P=0.3174

b) P=0.4232

c) P=0.2594

d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.

Step-by-step explanation:

The appropiate distribution to model this is the hypergeometric distribution:

$P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}$

a) What is the probability that none of the questions are essay?

$P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174$

b) What is the probability that at least one is essay?

$P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232$

c) What is the probability that two or more are essay?

$P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594$

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3 years ago

Jennifer is saving money to buy a bike The buce costs $343 She has $115 saved, and each week she adds $19 to her savings How lon

satela [25.4K]

Answer: 12 weeks

Step-by-step explanation:

343-115=228

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3 years ago

Write a expression that represents 72 divided by n plus 4

jeka57 [31]

Answer:

72 divided by n + 4

Step-by-step explanation:

its actually directly in the picture

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3 years ago

Use the description and table to graph the function, and determine the domain and range of f(x). Represent the domain and range

zmey [24]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

The table represents a logarithmic function.

The domain represents the set of x values.

From the table, we can see that all the x values are positive values i.e. x > 0

Hence, the domain of the function is x > 0

<h3>How to determine the range?</h3>

From the table, the table outputs all zero, positive and negative numbers

This means that the range is the set of all real numbers.

Hence, the range of the function is -∞ < f(x) < ∞

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2 years ago