The nth term of a geometric sequence is 4*3n-1. Find the first and the 10th term

Answer:

5 and 13

Step-by-step explanation:

To evaluate (w ￮ u)(8) , evaluate u(8) then substitute the value obtained into w(x) , that is

u(8) = = 8 + 9 = 17 , then

w(17) = [tex]\sqrt{17+8}[/tex] = [tex]\sqrt{25}[/tex] = 5

---------------------------------------

To evaluate (u ￮ w )(8) , evaluate w(8) then substitute the value obtained into u(x) , that is

w(8) = [tex]\sqrt{8+8}[/tex] = [tex]\sqrt{16}[/tex] = 4 , then

u(4) = 4 + 9 = 13

Answer:

Step-by-step explanation:

[tex]u(x)=x+9\\\\w(x)=\sqrt{x+8} \\\\(wou)(x)=u(w(x))=u(\sqrt{x+8} )=\sqrt{x+8}+9\\(wou)(8)= \sqrt{8+8}+9=4+9=13\\\\\\(uow)(x)=w(u(x))=w(x+9)=\sqrt{x+9+8}=\sqrt{x+17}\\(wou)(8)= \sqrt{8+17}=\sqrt{25}=5\\\\[/tex]

Step-by-step explanation:

Since,

1 inch=2.5 cm

Therefore,

5.2 inches=2.5×5.2 cm=13 cm

I hope it helped U

stay safe stay happy

Answer:

Answer:

[tex]{ \underline{ \sf{slope \: is \: \frac{7}{4} }}}[/tex]

Step-by-step explanation:

Parallel lines have same slopes.

General equation of line:

[tex]y = mx + c[/tex]

the line given:

[tex] - 4y + 7x = 20 \\ 4y = 7x - 20 \\ y = \frac{7}{4} x - 5[/tex]

Answer:3.785 liters

Step-by-step explanation:

Answer:

1 gal = 3.78541

Step-by-step explanation:

A quick search will do it.

Answer:

156,000

Step-by-step explanation:

Answer:

156,000

Step-by-step explanation:

Note the hundreds place value (underlined and bold):

155,999

Look at the digit value directly next to the given place value (tens place value). It is a 9. Because 9 is greater then 5*, you will round up:

155,999 rounded to the nearest hundreds place value is 156,000.

* Note when rounding:

If the digit to the right of the one you are finding is:

- Less than 5: Round down.

- 5 or greater: Round up.

~

Answer:

Step-by-step explanation:

Let's start by round 3.67. We look at the key digit which is 6 in this case. Since 6 is greater than 5, 3.67 will round up to 4.

The key digit in 2.40 is 4. 4 is not greater than 5, so we round down to 2.

2+4=6

Therefore, an estimate of these two items to the nearest ones place is $6.

Answer:

$2 for the eggs and $4 for the milk

Step-by-step explanation:

Since the eggs cost $2.40 and after the 2 you can see that there is a 4, " 5 or more we add one more, 4 or less just ignore", so it stays $2. However the milk costs $3.67, and here you can see that after the 3 there is a 4, so since it's more than 5 we change the estimated amount to $4.

I hope you understood, and I hope the answer is right :)

Answer:

Step-by-step explanation:

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Answer:

x=4.25

------------------------------------------

8+8=4x-1

16=4x-1

4x=16+1

4x=17

x= 17/4

I have no idea if i am correct just a guesstimate

Have a good day

Answer:

Here is the answer . hope this helps.

Answer:

to find midpoint add both"X" coordinates and divide by 2

also add "Y" coordinates and divide by 2

then for line of segment use distance formula which is D=√[(x2-x1)²+(y2-y1)²]

Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex].

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

To determine the midpoint of two coordinates (x₁,y₁) and (x₂,y₂ )

Midpoint = [ (x₁ + x₂)/2 + (y₁ + y₂)/2 ]

The distance between two points (x₁,y₁) and (x₂,y₂ )

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Hence "Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]".

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Answer:

314ft²

Step-by-step explanation:

A = 3.14(10²)

A = 3.14 x 100

A = 314ft²

Answer:

Area is 314 ft²

Step-by-step explanation:

[tex]A = \pi {r}^{2} [/tex]

r is radius,

[tex]r = \frac{diameter}{2} = \frac{20}{2} = 10 \: ft[/tex]

therefore:

[tex]A = 3.14 \times {10}^{2} \\ A = 3.14 \times 100 \\ A = 314 \: {ft}^{2} [/tex]

Answer:

Step-by-step explanation:

increased means add.

5 + 2*t

There is no three-digit whole number that has exactly five positive factors.

The prime factorization of a number with five factors will be of the form p⁴ or p²q, where p and q are distinct prime numbers.

p⁴:

The smallest prime number greater than or equal to 10 is 11.

So, let's consider 11⁴:

11⁴ = 14641 (which is a five-digit number)

p²q:

To minimize the number, we need the smallest prime numbers possible. The two smallest prime numbers greater than 10 are 11 and 13.

Let's consider the product of these two primes:

11² × 13 = 1573 (a four-digit number)

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Answer:

12.6>12.3

Step-by-step explanation:

There are zero number of outliers in data set.

The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.

And,

[tex]IQR=Q_{3} -Q_{1}[/tex]

We have,

[tex]Q_{1}= 275[/tex]

[tex]Q_{3} = 933[/tex]

Minimum [tex]= 1[/tex]

Maximum [tex]= 2596[/tex]

Median [tex]= 533[/tex]

Now,

[tex]IQR=Q_{3} -Q_{1}[/tex]

IQR [tex]=933-275=658[/tex]

So,

[tex]Q_{1} -1.5\ IQR[/tex]

[tex]=275-1.5*658[/tex]

[tex]=-712[/tex]

So, any data point lower than this is the low outlier.

As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.

Hence, we can say that here are zero number of outliers in data set.

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Answer:

The correct answer is 3.

Step-by-step explanation:

Answer:

true, I hope this will help.

[tex]\boxed{\underline{\bf \: True}}[/tex]

[tex] \sf \: 6(10 + 5) = 6•10 + 6•5 [/tex]

Check with LHS = RHS rule method.

LHS

[tex]\sf6(10 + 5) \\ \sf = 6(15) \\ \sf = 6 \times 15 \\ \bf = 90[/tex]

RHS

[tex]\sf6•10 + 6•5 \\ \sf = 60 + 30 \\ \bf= 90[/tex]

We can see that both LHS & RHS give [tex]\boxed{\underline{\bf \: 90}}[/tex]as the solution. LHS = RHS. Hence proved.

Answer -> [tex]\boxed{\underline{\bf \: True}}[/tex]

_______________

Hope it helps.

RainbowSalt2222

Given the assumption of a normal distribution with a mean of 100 and a standard deviation of 15, a score of 130 represents a z-score of 2. In different mostly older handbooks of descriptive statistics you can find a ‘from z to percentile-table’. Nowadays it’s more easy to use the computer. Using R, a free and open source statistical environment (www.r-project.org), you can use the command pnorm (130, 100, 15) and it will give 0.9772. Because yo want the proportion above that score you use 1-pnorm (130, 100, 15). Another way of writing in R and with for example 3 IQ-scores:

perc = pnorm (c (70, 100, 130), 100, 15)

(1 - perc)

gives you the above-proportion of the IQ-scores of respectively 70, 100 and 130.

Answer:

(i) 2x+3y=9.3

5

ˉ

⇒2x+3y−9.3

5

ˉ

Comparing the equation with ax+by+c=0

a=2,b=3,c=−9.3

5

ˉ

Answer:

[tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²

Step-by-step explanation:

Given

3x - x² ← factor out - 1 from each term

= - (x² - 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 3x

= - (x² + 2(- [tex]\frac{3}{2}[/tex])x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )

= - (x - [tex]\frac{3}{2}[/tex] )² - 1(- [tex]\frac{9}{4}[/tex] )

= [tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²

Answer:

This shows no trend.

Step-by-step explanation:

Answer:

No Trend

Step-by-step explanation:

The scatter plot is everywhere and there is no pattern within it therefore it has no trend.

Hope it helps

Step-by-step explanation:

The domain of a function is the range of x such that the function is defined.

Now we know the function

[tex]f(x) = \frac{1}{ {x}^{2} + 3x - 4 }[/tex]

is only defined when the denominator is not zero, in other words, when

[tex] {x}^{2} +3x - 4 \neq \: 0[/tex]

or

[tex](x + 4)(x - 1) \neq0[/tex]

[tex]x \ne-4 [/tex]

and

[tex]x \neq +1[/tex]

Answer:

0.09

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

every number that times with pi are irrational, only zero gives a rational number

hi <3

product means multiplication, therefore we know there has to be a '2k' and we can eliminate option A

also, there is a mention of subtraction, so we can also eliminate option B

now we are left with C and D

it is stated that it is being subtracted FROM 17, therefore the 17 would have to come first

in short, your answer is option C

hope this helps :)

The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given that,

The product of 2 and a number k, subtracted from 17

we have to find the expression for given statement.

let the number be x

now, we have,

The product of 2 and a number k,

i.e. 2*k = 2k

then,  subtracted from 17

i.e. 17 - 2k

so, we get,

x = 17 - 2k

Hence, The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.

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Answer:

68 blue marbles are there.

Answer:

Blue marbles are 100.

Step-by-step explanation:

Number of red marbles=252 × 2/7

Number of red marbles=72

Remaining marbles=252-72

Remaining marbles=180

Now,

Number of green marbles=180×4/9

Number of green marbles=80

Reaminng marbles which are blue=100-80

=100

If you have any questions about it let me know.

Answer:

0.91 (make sure to include unit of measurement)

Step-by-step explanation:

10.49 - 9.58 = 0.91

Step-by-step explanation:

We can rewrite the left-hand side as

[tex]2\log{x} + \log{3} = \log{3x^2}[/tex]

Here, we used the following properties of logarithms:

[tex]\log{x^a} = a\log{x}[/tex]

[tex]\log{ab} = \log{a} + \log{b}[/tex]

We can then write

[tex] \log{3x^2} = \log{75} \Rightarrow 3x^2 = 75[/tex]

or

[tex]x = 5[/tex]

Answer: $133.20

Step-by-step explanation: