The price of 7​-minute phone call is ​$.105 What is the price of 18 ​-minute phone​ call?
The price of 18​-minute phone call is ​$

Given:

The equation is:

[tex]12=5^x[/tex]

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

[tex]a=b^x\Leftrightarrow \log_b a=x[/tex]

We have,

[tex]12=5^x[/tex]

Here, [tex]a=12,b=5[/tex]. By using the above property of logarithm, we get

[tex]\log_{5}12=x[/tex]

[tex]x=\log_{5}12[/tex]

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

4x + 3y = 9

Slope of line = -4/3

Slope of perpendicular to line = ¾

Equation of perpendicular:

y-3 = ¾(x+2)

Answer:

alternate exterior angles

Step-by-step explanation:

When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Answer:

20

Step-by-step explanation:

Subtract the 2 from the width of 7, and then multiply the height by the width.

4x5=20

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

Explanation:

The general form of an exponential function is

y = a*b^x

where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.

We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.

Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%

This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.

Answer:

around 5.5 inches

Step-by-step explanation:

34.48 = 2rπ

34.48/π = 2r = around 11

r = 11/2

The radius of the circle is equal to 5.49 inches.

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

here, we have,

Given here:

Circumference as 34.48 inches and π=3.14

Now circumference of the circle is given by

2πr=34.48

r=34.48/2×3.14

r=5.49 inches

Hence, The radius of the circle is equal to 5.49 inches.

Learn more about circumference here:

brainly.com/question/14200825

#SPJ2

Answer:

Step-by-step explanation:

k stands for 1000

Answer:

Solution given:

12.2k - 4.000

12.2×1000-4.000

=12196 is your answer.

Answer:

7x² - 6x + 4

Step-by-step explanation:

(4x² - x + 6) - (-3x² + 5x + 2)

4x² - x + 6 + 3x² - 5x - 2

4x² + 3x² - x - 5x + 6 - 2

7x² - 6x + 4

Answer:

33 units^2

Step-by-step explanation:

42 is the whole area and the triangle area is 9

so 42-9=33

Answer:

edit: the answer is 1

none; I've tried all of them but they didn't work sorry

Step-by-step explanation:

211,000(1-.041/.1)^3 is the equation i used to check them

.1 because every 10 years

30*.1 is 3

decreases at a rate of .041 or 4.1%

edit: it's 1

the .1 wasn't required so it is:

211,000 (1-.041)^3

Answer:

I can answer the type of angle: Acute

Step-by-step explanation:

It's less than 90 degrees, so it's [tex]acute.[/tex]

Answer:

75—the profit

Step-by-step explanation:

simply subtract the cost price from selling price

325-250=75

Answer:

$75

Step-by-step explanation:

Calculating profit or loss:

Selling price - Cost price

The profit or loss

= 325-250

= +$75

∴ It has a profit of $75.

Step-by-step explanation:

hope it is helpful to you

Answer and Step-by-step explanation:

To find the length of HP, we must use the Pythagorean Theorem.

This theorem helps us solve for the sides of any right triangle.

The equation for the Pythagorean Theorem is:

[tex]a^{2}+ b^{2} = c^{2}[/tex], in which a and b are the legs, while c is the hypotenuse.

Let's plug in our values into the equation to find the length of HP.

We will use the variable x to represent HP.

[tex]9^{2}+ 12^{2} = x^{2} \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\\sqrt{225} = \sqrt{x^2} \\\\\\15 = x = HP[/tex]

So, we get our answer to be 15.

The length of HP is 15.

#teamtrees #PAW (Plant And Water)

Answer:

45 is the correct answer

Answer: -15

HOPE THIS HELPS

Answer:

A. 6(4a²-2)

Step-by-step explanation:

Got it correct… You’re welcome.

Answer:

The answer is 17.4.

Step-by-step explanation:

Mean is the average of all the numbers. To do this, you have to add up all the numbers then divide by how many numbers there are.

First, let's add up all the numbers.

11+14+15+16+16+18+20+20+22+22 = 174!

Next, let's divide the numbers by how many numbers there are. There are 10 numbers in total.

174÷10 = 17.4

Hope this helps! :3

Answer:

17.4

Step-by-step explanation:

To find the mean of a data set, add all numbers. Then, divide the sum by how many numbers are present.

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

There are 10 numbers, so divide 174 by 10.

174 / 10 = 17.4

Therefore, 17.4 is the mean of the data set.

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

[tex]\dfrac{lm}{kn}=\dfrac{8}{9}[/tex]

Or this could be written as

[tex]lm=8x\\kn=9x[/tex]

Now the remaining two sides are given as

[tex]lk=lm[/tex] as this form an isosceles triangle so

[tex]lk=8x[/tex]

Similarly

[tex]mn=lm\\[/tex]

Or

[tex]mn=8x[/tex]

Now the perimeter is given as

[tex]\text{perimeter}=lm+mn+kn+lk\\[/tex]

Here perimeter is given as 132 so this gives:

[tex]\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4[/tex]

So the four legs are of length as given below:

[tex]lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36[/tex]

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

1) Find the perimeter

[tex]P=5l[/tex] where l is the side length

Plug in the side length 7.6 cm

[tex]P=5(7.6)\\P=38[/tex]

Therefore, the perimeter of the pentagon is 38 cm.

2) Find the area

[tex]A=\frac{1}{2} Pa[/tex]

Plug in the perimeter (38) and the apothem (5.2)

[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

Answer: a,c,d

Step-by-step explanation:

Step-by-step explanation:

Hell yes, I'll take 5 please

Answer:

Yes! Wet teddy bears are fire! I'll take 4, pls!

Step-by-step explanation:

Answer:

show the options

Step-by-step explanation:

.....................

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

7)

perimeter of a circle is d[tex]\pi[/tex]

50[tex]\pi[/tex]= 157.0796 for both of the circular ends

plus 200 for the two straights

357.07 m

8)

the triangle is 8*2.5 =20  for both sides

10*10 = 100

and 5*7=35  but that's a negative , it's subtracted

120-35=85

85 [tex]in^{2}[/tex]

Now go out side and get exercise  :)

Answer: 65in

Step-by-step explanation:

Break the trapezoid into a rectangle (8in by 10in) and the leftovers are 2 triangles. Find the area for the triangles. Because the top of the trapezoid is 10in and the bottom is 15in, then we know that 15-10 = 5 and that the triangles are 2.5in by 8in. Because the triangles are the same congruent, then just multiply 8 by 2.5 to get 20.

Find the middle part now, which is 8 times 10 to get 80. Then 80 + 20 = the area of the trapezoid.

Lastly, subtract the non shaded region (7x5=35) and then 100-35 = 65

Answer:

32/24

Step-by-step explanation:

16 times 2 is 32

The value of a/b is 4/3.

The unitary method is used to find the value of a single unit from a given multiple.

One box has 16 apples.

One box has 24 lemons.

If 'a' is the weight of  box of apples and 'b' is the weight of box of lemons.

As each apples weigh 2 times the lemon

Weight of box of apples= 16*2*b=32b

Weight of lemon box = 24b

So, a/b

=32b/24b

=32/24

=4/3.

Hence, value of a/b is 4/3.

Learn more about unitary method here:

https://brainly.com/question/23423168

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Answer: n= -9

Step-by-step explanation:

5n-7=-52

5n = -52+7

5n=-45 (divide both sides)

n= -9

Answer:

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