If 9^x = 81, then 3(3^x) =

A) 27
B) 3
C) 9
D) 81
E) 243

Step-by-step explanation:

C = 6 n + 4,500

the set up cost is represented by the initial value of the function, which is $4,500.

the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.

Answer:

50.8°

Step-by-step explanation:

In ∆ IJK :-

Answer:

For two vectors to be orthogonal it means that their dot product must be equal to zero.

Usually dot product of perpendicular vectors is zero and thus all perpendicular vectors are orthogonal.

Answer: the income is 369$

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

Finding each side :-

Finding area of unshaded region :-

Overall area :-

Finding percentage :-

Answer:70%

Step-by-step explanation:

Answer: (a) P = 6W + 2

(b) L = 2W + 1

(c) Width = 13cm

Length = 27cm

Step-by-step explanation:

The formula for perimeter of a rectangle is 2(length + width). Since the length is 1 cm more than twice its width, then the length will be:

L = (2 × W) + 1

(b) L = 2W + 1

Therefore, P = 2(L + W)

P = 2( 2W + 1) + 2W

P = 4W + 2 + 2W

(a) P = 6W + 2

Since perimeter is given as 80cm. Therefore,

P = 6W + 2

6W + 2 = 80

6W = 80 - 2

6W = 78

W = 78/6

W = 13

Width is 13cm

Length = 2W + 1

Length = 2(13) + 1

Length = 27cm

The width of the rectangle is 13cm and the length is 27cm.

A rectangle is a quadrilateral. Opposite sides are equal. The four angles in a rectangle is equal to 90 degrees.

The formula for determining the perimeter of a rectangle = 2x (length + width)

P = 2(L + W)

80 = 2(1 + 2w + w)

80 = 2(1 + 3w)

40 = 1 + 3w

40 - 1 = 3w

39 = 3w

w = 13cm

Length = 1 + 2(13) = 27cm

To learn more about rectangles, please check: https://brainly.com/question/16595449

Answer:

103 is my answer.

Step-by-step explanation:

hope it helps

Answer:   [tex]\huge\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]

Step-by-step explanation:                                                                       [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]

Answer:

The probability that they each will catch 3 fish is 0.000063956

Step-by-step explanation:

The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes  for both the population and sample.

Here

Population size= N =200

Sample size= n =9= (3*3)

Number of successes in population = k = 3 hours

Number of successes in sample = x= 3

Applying the hyper geometric distribution

P (x=3) = kCx *(N-k) C (n-x)/ N Cn

   = 3 C 3 * 197 C 6/ 200 C 9

    =0.000063956

The probability that they each will catch 3 fish is 0.000063956

Answer:

5) 15120

6) 11880

7) 336

Step-by-step explanation:

The formula for permutation where mPn is m!/(m-n)!

Applying this to question 5, we get 9!/4!, which is 15120.

For question 6, we get 12!/8!, which is 11880.

For question 7, we get 8!/5!, which is 336.

Answer:

1 describe the inequality graph

Answer:

x axis, then translate x+6, y+1

Answer:

[tex]i^{2} (2i^{2} -5)[/tex]

[tex]2i^{2} \times i^{2} -5i^{2}[/tex]

[tex]2(-1)(-1)-5(-1)[/tex]

[tex]2+5[/tex]

[tex]=7[/tex]  [tex]i^{2}(2i-5)[/tex]

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

[tex]i^{2} (3+i^{2} )[/tex]

[tex]i^{2} \times 3+i^{2} \times i^{2}[/tex]

[tex](-1)3+(-1)(-1)[/tex]

[tex]-3+1[/tex]

[tex]-2[/tex]  [tex]=i^{2} (3+i^{2} )[/tex]

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

[tex]2i(2i-i^{3} )[/tex]

[tex]2i\times 2i-i^{3} \times2i[/tex]

[tex]4i^{2} -2i^{4}[/tex]

[tex]4(-1)-2(1)[/tex]

[tex]-4-2=[/tex]

[tex]-6=2i(2i-i^{3} )[/tex]

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

[tex]i(4i^{3} -i)[/tex]

[tex]4i^{3} \times i-i\times i[/tex]

[tex]4i^{4} -i^{2}[/tex]

[tex]4(1)-(1)[/tex]

[tex]4+1=5[/tex]

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

ANSWER:

[tex]-6\Longrightarrow 2i(2i-i^{3} )[/tex]

[tex]5\Longrightarrow i(4i^{3} -i)[/tex]

[tex]7\Longrightarrow i^{2} (2i-5)[/tex]

[tex]-2\Longrightarrow i^{2} (3+i^{2} )[/tex]

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

Hope it helps...

Have a great day!!

Step-by-step explanation:

does this mean the sale price includes the tax already ?

then we need to find 13% of the original price before taxes.

that would be done by saying that $101.94 are actuality 113% of the original price (original price = 100%, and then 13% are added).

101.94 = 113%

1% = 101.94/113

13% = 101.94 × 13/113 ≈ $11.73

that means it of the total sales price of $101.94, $11.73 would be the included taxes.

but if this means that 101.94 = 100% of the original price before taxes, we need to calculate the 13% based on that

101.94 = 100%

1% = 101.94/100

13% = 101.94 × 13/100 ≈ $13.25

and then the total price to be paid is

101.94 + 13.25 = $115.19

Answer:

The perimeter of QRS is 137.5

Step-by-step explanation:

From the given interval angles, we can see that the two triangles are congruent

so it is expected that the ratios of their corresponding sides are equal

this is because; 83 + 53 + 44 = 180

Now, let us work with the side facing the angle marked 53 in both triangles

For the smaller, we have the measure as 16

for the bigger, we have the measure as 44

So the scale factor here is 44/16 = 11/4 = 2.75

We have to multiply the measure of the sides of the smaller triangle by 2.75 to get that of the bigger triangle

in similar vein, we have to multiply the perimeter we have in the smaller triangle by 2.75 to get that of the bigger triangle

The perimeter of the smaller would be the sum of the side lengths

we have this as;

14 + 20 + 16 = 50

So the perimeter of the bigger triangle would be;

2.75 * 50 = 137.5

Given:

The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex].

To find:

The value of k.

Solution:

The gradient or slope of a line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex]. So,

[tex]\dfrac{2}{3}=\dfrac{7-3}{k-2}[/tex]

[tex]\dfrac{2}{3}=\dfrac{4}{k-2}[/tex]

On cross multiplication, we get

[tex]2(k-2)=4(3)[/tex]

[tex]2k-4=12[/tex]

[tex]2k=12+4[/tex]

[tex]2k=16[/tex]

Divide both sides by 2.

[tex]k=\dfrac{16}{2}[/tex]

[tex]k=8[/tex]

Therefore, the value of k is 8.

Answer: r = 0.6h

your welcome :D

Answer:

The actual correct answer is r = 0.8h

Step-by-step explanation:

You divide 0.24 ÷ 0.30 and get 0.8

Do the same thing for all the rest of the numbers but,

you must put the numbers that are on the right FIRST then divide them by the numbers on the left, all of these are the same answer which means it's

r = 0.8h

Hope this helps!

Answer:

(f + g)(x) = 3^x + 12x -4

Step-by-step explanation:

Here, we want to get the value of (f + g)(x)

Mathematically, we have this as;

(f + g)(x) = f(x) + g(x)

= 3^x + 10x + 2x-4

= 3^x + 12x -4

Answer:

-27k^4 +12k^3+16k^2+56k

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

(9k-4)(2k+7)      

Step-by-step explanation:

8k                  3k^3

---------   -  -----------

9k-4             2k+7

Get a common denominator

8k *(2k+7)          3k^3 *(9k-4)

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

(9k-4)(2k+7)        (9k-4)(2k+7)

Combine

8k *(2k+7) -3k^3 *(9k-4)

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

(9k-4)(2k+7)        

Distribute

16k^2+56k -27k^4 +12k^3

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

(9k-4)(2k+7)      

-27k^4 +12k^3+16k^2+56k

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

(9k-4)(2k+7)        

Answer: Commutative property of addition

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\text{1 + 3 + 4 = 4 + 3 + 1}[/tex]

[tex]\large\text{1 + 3 + 4}[/tex]

[tex]\large\text{4 + 4}[/tex]

[tex]\large\text{= \bf 8}[/tex]

[tex]\large\text{4 + 3 + 1}[/tex]

[tex]\large\text{7 + 1}[/tex]

[tex]\large\text{= \bf 8}[/tex]

[tex]\large\text{\bf 8 = 8}[/tex]

[tex]\large\textsf{We could remove Option C. because there’s no sign of multiplication.}[/tex]

[tex]\large\textsf{This leaves us to Option A and Option B because the equation(s) has}\\\large\textsf{sum/addition}[/tex]

[tex]\large\textsf{Associative Property of Addition formula is:}[/tex]

[tex]\bullet\large\text{ \bf (a + b) + c = a + (b + c)}[/tex]

[tex]\large\textsf{Commutative Property of Addition formula is:}[/tex]

[tex]\bullet\large\text{ \ \bf a + b = b + a}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf Commutative Property of Addition}}}\\\boxed{\huge\textsf{(Option B.)}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]y_1 = -2[/tex] and [tex]y_2 = 4[/tex]

Step-by-step explanation:

[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]

Move the constant to the right-hand side and change their sign.

[tex] \sqrt{10y + 24} = y + 1 + 3 [/tex]

combine like terms

[tex] \sqrt{10y + 24} - 3 = y + 4[/tex]

Square both side to remove square brackets.

10y + 24 - 3 = y²+ 8y + 16

Move the expression to the left-hand side and change its sign.

10y + 24 - y² - 8y - 16 = 0

Combine like terms

10y - 8y + 24 - 16 - y² = 0

2y + 8 - y² = 0

Use commutative property to reorder the terms.

-y² + 2y + 8 = 0

Change the sign of expression.

y² -2y -8 = 0

split -2y

y² + 2y - 4y - 8 = 0

Factor out y from the first pair and -4 from the second equation.

y ( y + 2 ) - 4 ( y + 2 ) = 0

Factor out y+2 from the expression.

( y + 2 ) ( y - 4)

When the products and factors equals 0, at least one factor is 0.

y + 2 = 0

y - 4 = 0

Solve for y

y = -2

y = 4

When we plug the both solution as y we found that both is true solution of this equation.

This equation has two solutions which are -2 and 4.

Answer:

Solution given:

[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]

keep the constant term in one side

[tex] \sqrt{10y + 24} =y+1+3[/tex]

solve possible one

[tex]\sqrt{10y+24}=y+4[/tex]

now

squaring both side

[tex](\sqrt{10y+24})²=(y+4)²[/tex]

10y+24=y²+8y+16

taking all term on one side

10y+24-y²-8y-16=0

solve like terms

8+2y-y²=0

doing middle term factorisation

8+4y-2y-y²=0

4(2+y)-y(2+y)=0

(2+y)(4-y)=0

either

y=-2

or

y=4

y=-2,4

Answer:

I am in 5 classso i did not known answer

Answer:

what's the question?

Step-by-step explanation:

and the problem?

Answer:

Please could you add some more info.

Thank you

Answer:

1)duno

2)duno

3)duno

Step-by-step explanation:

glad i can help hahahaahhaa

Answer:

D

Step-by-step explanation:

all the options seems similar..but i can find the D more suitable

Answer:

-50

Step-by-step explanation:

Answer:

The correct answers are:

The variable p is the independent variable.

The number of hours spent reading causes a change in the number of pages read.

The variable p is the dependent variable.

Step-by-step explanation: Hope this helps :)))

These two statements are correct and applicable

(1) The number of hours spent reading causes a change in the number of pages read.

(2) The variable p is the dependent variable.

"A Variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables."

"A dependent variable is the variable that changes as a result of the independent variable manipulation."

"A Line graph is a graphical display of information that changes continuously over time. A line graph may also be referred to as a line chart. Within a line graph, there are points connecting the data to show a continuous change. A Line graph has two axes(X- axis and Y-axis)"

We have,

Kelvin read 35 pages per hour

According to the question,

Number of hours increasing, number of pages also increasing

∵ The table data shows linear graph

We can clearly say that from a line graph definition,

These two are correct and applicable to Kelvin's situation

(1) The number of hours spent reading causes a change in the number of pages read.

(2) The variable p is the dependent variable.

Learn more about Line graph and variable here

https://brainly.com/question/20106471

https://brainly.com/question/20291071

#SPJ2

Answer:

72

Step-by-step explanation:

6*6 = 36

3*12 = 36

36 + 36 = 72