2.
Snow is falling at a rate of 14 in. in 7
hours. Write an equation to represent the
proportional relationship between the
number of hours x, and the amount of
Snow y.

Answer:

x = 8

Step-by-step explanation:

3 ln 4 = 2 ln x

By using property of logarithm:

ln = ln

Cancel ln on both sides

=

64 =

x =

x = 8

The solution to the equation 3ln4 = 2lnx is {-8, 8}

Given the expression

3 ln 4 = 2 ln x.

We are to find the solution for the variable "x"

Applying the rule of logarithm, the equation will become:

ln4^3 = lnx^2

4^3 = x^2

x^2 = 64

x = 8 and -8

Hence the solution to the equation is {-8, 8}

Learn more on logarithm here: https://brainly.com/question/25710806

Answer:

14

Step-by-step explanation:

A sequence is given to us , which is ;

[tex]\longrightarrow 6,10,14,18,22 [/tex]

We need to find out the third term of the sequence . The third term is 14 which is itself given in the question . We can also find it as ,

The given sequence is in Arithmetic progression since a common number is added to get the next term of the sequence .

[tex]\longrightarrow d = 10 -6\\[/tex]

[tex]\longrightarrow d =4 [/tex]

Now we know that the general term of the sequence in an AP is given by ,

[tex]\longrightarrow T_n = a + (n-1)d [/tex]

The first term is 6 and common difference is 4 . On substituting the respective values ,

[tex]\longrightarrow T_3 = 6 + (3-1)4\\[/tex]

[tex]\longrightarrow T_3 = 6 + 2(4)\\[/tex]

[tex]\longrightarrow T_3 = 6 +8\\ [/tex]

[tex]\longrightarrow \underline{\underline{T_3=14}} [/tex]

This is the required answer!

Answer:

See below.

Step-by-step explanation:

x-2y=-4

 *-2  *-2

x+y=8

-x     -x

y=-x+8

-hope it helps

Answer:

y = 1/2x + 2⠀

Answer:

1 ofc

Step-by-step explanation:

Think of it:

1% is pretty much [tex]\frac{1}{100}[/tex]

so the equal to that is 1

I hope this answers your question :) If you want to mark me as brainliest (its ok if not :) im just trying to get enough to unlock messages

The function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,

[tex]f(0)=|0^2-4|\\[/tex]

Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

The linear or quadratic function, can be model with the data table.

The 2-column table with 5 rows is given with the following data.

The first column is labeled x with entries               -2,  -1,  0,  1,  2.

The second column is labeled [tex]f(x)[/tex] with entries     0,   3,  4,  3,  0.

The function for the above table is,

[tex]f(x)=|x^2-4|[/tex]

For an input of 0.

[tex]f(0)=|0^2-4|\\[/tex]

Thus, the function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,

[tex]f(0)=|0^2-4|\\[/tex]

Learn more about the data table here;

https://brainly.com/question/15602982

Answer:

The answer is 4

Step-by-step explanation:

Says so on edge

Answer:

True

Step-by-step explanation:

To solve it you divide both sides by -2, which flips the inequality sign around.

Answer:

80

Step-by-step explanation:

Because, when you subtract 180 to 100 and you get 80

Answer:

0.027

Step-by-step explanation:

0.474 - 0.447

= 0.027

Answer:

0.027 or 0.447 is greater than 0.474

Step-by-step explanation:

The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.

Given information-

The card is selected random from the deck of cards.

Total number of trails is 40.

It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.

As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,

[tex]f_r=\dfrac{11}{40}\\f_r=0.3[/tex]

In the percentage from,

[tex]f_r={0.3}\times100\\f_r=30[/tex]

Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

Learn more about the relative frequency here;

https://brainly.com/question/26177128

Answer:

20%

Step-by-step explanation: I took the test

the answer is: 31/9=3.4444≈3.4

Answer:

G-10

Step-by-step explanation:

because i dont have time to expalin

Line given

Comapre to y=mx+b

Parallel lines have equal slope

Equation in point slope form

Answer:

Los ángulos complementarios son dos ángulos que suman 90 grados, y los ángulos suplementarios son dos ángulos que suman 180 grados.

OR

Complementary angles are two angles that add up to be 90 degrees, and suplementary angles are two angles that add up to be 180 degrees.

Answer:

C) 136 yd²

Step-by-step explanation:

[tex]\textsf{\large Area of a triangle:}\ \dfrac{1}{2}\cdot b \cdot h[/tex]

Given:

Substitute the given values into the formula.

[tex]\begin{aligned}A\triangle&=\dfrac{1}{2}(16)(17)\\ &=8(17)\\&=\boxed{136}\end{aligned}[/tex]

The area of the triangle is 136 yd².

Answer:

11.6cm

Step-by-step explanation:

a^2+b^2=c^2

11^2+b^2=16^2

121+b^2=256

b^2=135

b=11.6

[tex] \sf \looparrowright \: 8 \frac{1}{6} - 5 \frac{5}{6} [/tex]

Convert the mixed fractions to improper fractions

[tex] \underbrace {8\frac{1}{6} = \frac{6 \times 8 + 1}{6} = \frac{49}{6} }[/tex]

[tex] \underbrace {5\frac{5}{6} = \frac{6 \times 5 + 5}{6} = \frac{35}{6} }[/tex]

[tex] \sf \looparrowright \: \frac{49}{6} - \frac{35}{6} [/tex]

Write the numerators above the common Denominator 6

[tex] \sf \looparrowright \: \frac{49 - 35}{6} [/tex]

Calculate the difference

[tex] \sf \looparrowright \: \frac{14}{6} [/tex]

Reduce the fraction with 2

[tex] \sf \looparrowright \frac{7}{3} [/tex]

Answer:

22 years

Step-by-step explanation:

the rate of the increase is $113.75 a year.

So it would take if rounded 22 years to reach the goal of $5000.

Answer: The correct answer is "15.2 years"

Step-by-step explanation:

I took the test

Answer:

My answer is 8. I just rounded if you don't want to round just go with 7.5.

Answer:

7.5 units

Step-by-step explanation:

It is hard to explain...

Answer:

9

Step-by-step explanation:

Factors are numbers we can multiply together to get another number.

A common factor is one that is a factor of two (or more) numbers.

The greatest common factor (GCF) is the largest of the common factors.

There are a few ways to find the GCF.  One way is to find all the factors of both numbers, then find the ones that are common to both and choose the greatest:

The factors of 54 are:  1, 2, 3, 6, 9, 18, 27, 54

The factors of 153 are:  1, 3, 9, 17, 51, 153

Therefore, the greatest common factor is 9.

The expression which represents the greatest common factor (GCF) of 54 and 153 is 3×3. Correct option is B.

The greatest common factor (GCF) of two numbers is the largest positive integer that divides both numbers evenly.

To find the GCF of 54 and 153, we need to determine the common prime factors of these two numbers and then multiply those factors together.

The prime factorization of 54:

= 2 × 3 × 3 × 3

= 2 × 3³.

The prime factorization of 153:

= 3 × 3 × 17

= 3² × 17.

The common prime factors of 54 and 153 are two factors of 3, so the GCF is 3 × 3, which can be written as 3².

Hence, 3 × 3 is the expression which represents the greatest common factor (GCF) of 54 and 153. Option B is correct.

To learn more on Expressions click:

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Complete question:

Which expression represents the greatest common factor (GCF) of 54 and 153?

(A) 2×2

(B) 3×3

(C) 2×2×2×3

(D) 2×2×2×3×1

Answer:

Hi ma bruddah

Step-by-step explanation:

Hi - ma - bru/dd/ah

Answer:

A.

Since it says no more than and d doesn't have that sign so yes hope this helps :D

Answer:

15$ a day would be the estimate for 1 day

Step-by-step explanation:

Part a)

The diagonal line goes through (0,15) and (2,20)

Find the slope based on those points

[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (2,20)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{20 - 15}{2 - 0}\\\\m = \frac{5}{2}\\\\m = 2.5\\\\[/tex]

The y intercept is b = 15 because this is where the line crosses the y axis.

We go from y = mx+b to y = 2.5x+15.

Now plug in x = 1 to find the cost of renting for one day.

y = 2.5x+15

y = 2.5*1+15

y = 17.5

Another way to get the answer is to start at 1 on the x axis number line. Draw a vertical line upward until you reach the curve. From there, draw a horizontal line toward the y axis (refer to the diagram below). You should land somewhere between 15 and 20. The midpoint of which is 17.50

=====================================================

Part b)

We can do the reverse idea of the previous part.

Start at y = 25 on the y axis. Draw a horizontal line toward the curve. After reaching the curve, draw a vertical line down until you hit the x axis. You should arrive at x = 4.

Or you can use the algebraic approach since we know the cost equation

y = 2.5x+15

25 = 2.5x+15 ... plug in y = 25

25-15 = 2.5x

10 = 2.5x

2.5x = 10

x = 10/(2.5)

x = 4

Answer:

it is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

It's a linear equation but not a parallel line to any axis

The general form is

m is rate of change.

Hence y is directly proportional to x if m is kept constant

So option B is correct

Answer:

Step-by-step explanation:

g(x) = -3x - 3

To complete the table, you have to substitute the x values into the equation.

g(-5) = -3(-5) - 3

g(-5) = 15 - 3

g(-5) = 12

g(-3) = -3(-3) - 3

g(-3) = 9 - 3

g(-3) = 6

g(0) = -3(0) - 3

g(0) = 0 - 3

g(0) = -3

g(1) = -3(1) - 3

g(1) = -3 - 3

g(1) = -6

g(3) = -3(3) - 3

g(3) = -9 - 3

g(3) = -12

Answer:

Height (h) = 1.6

Step-by-step explanation:

Area  of trapezoid = [(base1+base2)/2] * height

now we sub the values in the formula

7.36 = [(3.4+5.8)/2]* h

h= (7.36*2)/(3.4+5.8)

h = 1.6

Answer:

33°

Step-by-step explanation:

9.17% = 9.17/100

[tex]\dfrac{9.17}{100}*360=0.917*36=33.012[/tex]

= 33°

Answer:

33

Step-by-step explanation:

0.917×36=33.012

Answer:

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds