Please help with this pre calculus

from the question;

we are given the following numbers

we are to find the range of the numbers

but range is defined as

From the numbers

Therefore

Therefore,

The range of the numbers is 30

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

9514 1404 393

Answer:

  22

Step-by-step explanation:

Put -3 where x is and do the arithmetic.

  f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11

  f(-3) = 22

_____

Additional comment

Sometimes evaluation is easier if you rewrite the polynomial in Horner form:

  f(x) = (3x -2)x -11

  f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22

Answer: 6/7

Step-by-step explanation:

(3– - 3)/(5- - 2)

the surface area of the cylinder is approximately 471 dm².

Now, For the surface area of the cylinder, we need to find the lateral area  and the area of the two circular bases.

Since, The formula for the lateral area of a cylinder is

L = 2πrh,

where r is the radius of the cylinder and h is the height.

In this case, the diameter is 10 dm,

So the radius is 5 dm.

And the height is also 10 dm.

Therefore, the lateral area is:

L = 2πrh

L = 2π(5 dm)(10 dm)

L = 100π dm²

The formula for the area of a circle is

A = πr²,

where r is the radius.

In this case, the radius is 5 dm,

So the area of each base is:

A = πr²

A = π(5 dm)²

A = 25π dm²

To find the total surface area, we add the lateral area and the area of the two bases:

SA = 2(Area of Base) + Lateral Area

SA = 2(25π dm²) + 100π dm²

SA = 50π dm² + 100π dm²

SA = 150π dm²

Substitute pi as 3.14, we can calculate:

SA ≈ 150(3.14) dm²

SA ≈ 471 dm²

Therefore, the surface area of the cylinder is approximately 471 dm².

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Cason must read for at least 22 weeks to meet his goal. The correct answer is D. x ≥ 22

Let x be the number of weeks Cason needs to read to meet his goal. In each week, he can read 2 books. Therefore, the total number of books he will read in x weeks is:

2x

Since Cason has already read one book, the total number of books he will have read after x weeks is:

2x + 1

We want Cason to read at least 45 books, so we can set up an inequality:

2x + 1 ≥ 45

Subtracting 1 from both sides, we get:

2x ≥ 44

Dividing both sides by 2, we get:

x ≥ 22

Therefore, Cason must read for at least 22 weeks to meet his goal.

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Answer:

They are now dead

Step-by-step explanation:

Jake Paul

Answer:

91.9/29.1=3.15807560137

so around 3.16

Answer\(x^{7}\)

Step-by-step explanation:

Step-by-step explanation:

Also the same as

X^-2 x x^9

X^-2+9

X^7

Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

Government saving equals: a. taxes less government expenditures.

Government expenditure  can be defined as those expenses that government has incurred and this occur when government spent on goods and services.

Government saving tend to  equals taxes less government expenditure which is option A was the correct option.

Therefore we can conclude that the correct option is A.

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Answer:

A = 150cm²

Step-by-step explanation:

A=6a2=6·52=150cm²

The height of domino #7 is approximately 6.89 cm tall.

The formula for the nth term of a geometric progression is:

\(a_n = a * r^(^n^-^1^)\)

where:

a is the first term (the height of the smallest domino, 4.00 cm),

r is the common ratio (the growth rate, 1.12), and

n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).

Let's plug these values into the formula:

\(a_8 = 4.00 cm * (1.12)^7\)

(Note that we're using 7, not 8, because the first domino is #0, not #1.)

Now, compute the value:

\(a_8 = 4.00 cm * (1.12)^7\)

=  6.89 cm

So, domino #7 is approximately 6.89 cm tall.

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After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Binomial expansion is used to factor expressions that can be expressed as the power of the sum of two numbers.

The proof that (1.01)^12 exceeds (1.02)^6 by 0.0007 is\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The expressions are given as:

\(\mathbf{(1.01)^{12}\ and\ (1.02)^6}\)

A binomial expression is represented as:

\(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

Express 1.01 as 1 + 0.01

So, we have:

\(\mathbf{(1.01)^{12} = (1 + 0.01)^{12}}\)

Apply the above formula

\(\mathbf{(1.01)^{12} = ^{12}C_0 \times 1^{12 - 0} \times 0.01^0 + ......... .......... + ^{12}C_{12} \times 1^{12 - 12} \times 0.01^{12} }}\)

\(\mathbf{(1.01)^{12} = 1 \times 1 \times 1 + ......... .......... + 1 \times 1 \times 10^{-24} }}\)

\(\mathbf{(1.01)^{12} = 1 + ......... .......... + 10^{-24} }}\)

This gives

\(\mathbf{(1.01)^{12} = 1.1268\ (approximated)}\)

Similarly,

Express 1.02 as 1 + 0.02

So, we have:

\(\mathbf{(1.02)^6 = (1 + 0.02)^6}\)

Apply \(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

\(\mathbf{(1.02)^6 = ^6C_0 \times 1^{6 - 0} \times 0.02^0 + ^6C_1 \times 1^{6 - 1} \times 0.02^1 +.............. + ^6C_6 \times 1^{6 - 6} \times 0.02^6 }\)\(\mathbf{(1.02)^6 = 1 \times 1 \times 1 + 6 \times 1 \times 0.02 +.............. + 1 \times 1 \times 6.4 \times 10^{-11} }\)

\(\mathbf{(1.02)^6 = 1 + 0.12 +.............. + 6.4 \times 10^{-11} }\)

This gives

\(\mathbf{(1.02)^6 = 1.1261\ (approximated) }\)

Calculate the difference as follows:

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 1.1268 - 1.1261 }\)

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The above equation means that:

(1.01)^12 exceed the value of (1.02)^6 by 0.0007

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Answer:

1/2

Step-by-step explanation:

just because it is

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

nunca Mo.

Jun Mo

Mo Hola Hola

Answer:

B $5,256

Step-by-step explanation:

Starting Principal: $4,500

Years: 4  

Annual Interest Rate: 4.2%  

Simple Interest: $5,256

Step-by-step explanation:

The article says all of the following except __________.

A.when an opponent's team wins all the time, spite and envy can fuel a rivalry

B.rivalries let sports fans express and share their strong feelings with others

C.rivalries give fans a way to calmy reduce their strong reactions to games

D.history, geography, and competitiveness can all help fuel a sports rivalry

The article says all of the following except __________.

A.when an opponent's team wins all the time, spite and envy can fuel a rivalry

B.rivalries let sports fans express and share their strong feelings with others

C.rivalries give fans a way to calmy reduce their strong reactions to games

D.history, geography, and competitiveness can all help fuel a sports rivalry

Answer:

1.010101e+12

Step-by-step explanation:

28282828282838.28282828282839 / 28

Answer:

The answer to the question is 26.

Answer:

-21

Step-by-step explanation:

\(f(x) = - 3(x + 3) \\ f(x) = - 3x - 9 \\ f(4) = - 3 \times 4 - 9 \\ = - 12 - 9 \\ = - 21\)

Answer: y=8 and x=8 radical 3

Answer:

122 degrees

Step-by-step explanation:

The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.

Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.

When keeping these two things in mind, you can solve like this:

180 = angle3 + 58

180 - 58 = angle3

angle3 = 122

122 degrees

Answer:

13 and 10

Step-by-step explanation:

Answer:

1. 13

2. 10

Step-by-step explanation:

The sales tax on the item listed price of $45 is $3.15 .

To calculate sales tax, you must first convert the tax rate to a decimal value by dividing it by 100% , we get

 7/100=0.07

The total cost of the items is $45. To calculate sales tax, simply multiply this price by the previously calculated decimal number , we get

45 × 0.07 = $3.15

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Answer:

20

x=7

y= -2

4x+4y

=4(7)+4(-2)

=28-8

=20

Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D