15. Starting at the age of 40, an average man loms 5% of his hair every year. At
what aye should an average man expect to have hall his hair left?

Answer:

See below

Step-by-step explanation:

The change of base formula for logarithms is [tex]\log_a(x)=\frac{\log_b(x)}{\log_b(a)}[/tex]. This formula allows us to rewrite a logarithmic expression so that the new expression contains a different base.

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

The given exponential functions, f(x) and g(x), are respectively given by:

When x < 0, one possible value is x = -1, hence evaluating the functions at these values:

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

[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]

[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.

More can be learned about exponential functions at https://brainly.com/question/25537936

Step-by-step explanation:

the third angle in a triangle= 70

LCM = 8

[tex]\frac{3}{8}[/tex] < [tex]\frac{6}{8}[/tex]

Finding the LCM is useful to compare the size of 2 different fractions.

LCM

First, let's define LCM. LCM stands for least common multiple. A multiple is a product of 2 numbers. For example, the multiples of 4 include 4, 8, 12, etc. The LCM of 4 and 8 is 8.

Comparing

Using the LCM we can find new fractions with the same denominator. These fractions are [tex]\frac{3}{8}[/tex] and [tex]\frac{6}{8}[/tex]. From this, we can tell that 6/8 is larger than 3/8.

Answer:

x = 52

Step-by-step explanation:

I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.

So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180

A + B = 180

2x + 76 = 180

2x = 104

x = 52

I hope this helps!

Answer: x=52

Step-by-step explanation:

uh i just knew

A piecewise function is a function that's simply built from pieces of different functions over several intervals.

Your information is incomplete as the function isn't given. Therefore, an overview will be given. It should be noted that a piecewise function simply means a function that's defined by multiple sub functions.

In this case, each sub-function applies to different interval in the domain as it's way of expressing the function.

Learn more about piecewise function on:

https://brainly.com/question/17966003

Answer:

40

Step-by-step explanation:

10+10+10+10 = 40

A square has 4 sides which is why you add 10, 4 times.

Answer:

y=2x+3

Step-by-step explanation:

Because the y-intercept starts at 3 and it goes up by 2 and to the side 1 so it would be y = 2x +3

Answer: y = 2x + 3

Step-by-step explanation:

    We will write the equation in slope-intercept form.

y = mx + b

    The slope can be found with "rise over run" since we have clear points on the graph.

    Start at (0, 3), count up 2 units, and count one unit to the right. This gives us a slope of positive 2.

    Rise / run = 2 / 1 = 2

    The "b" value is where the line hits the y-axis. It hits the y-axis at y-coordinate 3, so our y-intercept is positive 3.

    Final equation:

y = 2x + 3

Answer:

12.75

Step-by-step explanation:

12.75

Answer:

24 percent

Step-by-step explanation:

Answer:

7.02ft

Step-by-step explanation:

[tex]\bold{Heya!}[/tex]

[tex]\sf{= 10}[/tex]

Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]

[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]

Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]

[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]

Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]

[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]

Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]

[tex]\sf{= \frac{110}{12}[/tex]

Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]

[tex]\sf{= 10}[/tex]

Hopefully This Helps! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer: A

Step-by-step explanation:

The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.

Answer:

12) x= 21

13) x = 1

14) x = 9

15) x = 1

Step-by-step explanation:

Here, we are being asked to solve the given equations and check our work.

To check the work, we need to substitute the found value of x into the equation to check if it makes a true and correct statement.

12) Solve for x:

[tex]\sf 12)\ \dfrac{2}{3}x + 2 = 16\ \textsf{[subtract 2 from both sides]}\\\\\implies \dfrac{2}{3}x + 2 - 2 = 16 - 2\\\\\implies \dfrac{2}{3}x = 14\ \textsf{[multiply both sides by 3]}\\\\\implies 3\left(\dfrac{2}{3}\right)x = 14(3)\\\\\implies 2x = 42\ \textsf{[divide both sides by 2]}\\\\\implies \dfrac{2x}{2}=\dfrac{42}{2}\\\\\implies \boxed{\sf x = 21}[/tex]

Check your work:

[tex]\sf \dfrac{2}{3}x + 2 = 16\ \textsf{[substitute 21 for the value of x]}\\\\\implies \dfrac{2}{3}(21) + 2 = 16\ \textsf{[multiply]}\\\\\implies \dfrac{42}{3} + 2 = 16\ \textsf{[divide]}\\\\\implies 14 + 2 = 16\ \textsf{[add]}\\\\\implies 16 = 16\ \checkmark \textsf{[true statement]}[/tex]

13) Solve for x:

[tex]\sf 13)\ \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[multiply both sides by 6 - LCM of 2, 3, and 6]}\\\\\implies 6\left(\dfrac{x}{2} + \dfrac{x}{3}\right) = 6\left(\dfrac{5}{6}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{6x}{2} + \dfrac{6x}{3}\right) = \dfrac{30}{6}\ \textsf{[divide]}\\\\\implies 3x+2x=5\ \textsf{[combine like terms]}\\\\\implies 5x = 5\ \textsf{[divide both sides by 5]}\\\\\implies \dfrac{5x}{5}=\dfrac{5}{5}\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \dfrac{1}{2} + \dfrac{1}{3} = \dfrac{5}{6}\ \textsf{[rewrite the fractions with a common denominator of 6]}\\\\\implies \dfrac{1\times3}{2\times3} + \dfrac{1\times2}{3\times2} = \dfrac{5}{6}\ \textsf{[multiply]}\\\\\implies \dfrac{3}{6} + \dfrac{2}{6} = \dfrac{5}{6}\ \textsf{[add]}\\\\\implies \dfrac{5}{6} = \dfrac{5}{6}\ \checkmark \ \textsf{[true statement]}[/tex]

14) Solve for x:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[multiply both sides by 24 - LCM of 6, 8, and 24]}\\\\\implies 24\left(\dfrac{x-1}{6} - \dfrac{x+1}{8}\right) = 24\left(\dfrac{1}{12}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{24x-24}{6}\right) - \left(\dfrac{24x+24}{8}\right) = \dfrac{24}{12}\ \textsf{[divide]}\\\\[/tex]

[tex]\sf\\\implies (4x-4)-(3x+3)=2\ \textsf{[distribute the negative sign]}\\\\\implies (4x-4)+(-3x-3)=2\ \textsf{[combine like terms]}\\\\\implies x - 7 = 2\ \textsf{[add 7 to both sides]}\\\\\implies x - 7 + 7 = 2 + 7\\\\\implies \boxed{\sf x = 9}[/tex]

Check your work:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[substitute 9 for the value of x]}\\\\\implies \dfrac{9-1}{6} - \dfrac{9+1}{8} = \dfrac{1}{12}\ \textsf{[simplify]}\\\\\implies \dfrac{8}{6} - \dfrac{10}{8} = \dfrac{1}{12}\ \textsf{[rewrite the fractions with a common denominator of 24]}\\\\\implies \dfrac{8\times4}{6\times4} - \dfrac{10\times3}{8\times3} = \dfrac{1\times2}{12\times2}\ \textsf{[simplify]}\\\\[/tex]

[tex]\sf\\\implies \dfrac{32}{24}-\dfrac{30}{24}=\dfrac{2}{24}\ \textsf{[subtract]}\\\\\implies \dfrac{2}{24}=\dfrac{2}{24}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{12}=\dfrac{1}{12}\ \checkmark\ \textsf{[true statement]}[/tex]

15) Solve for x:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[multiply both sides by 8 - LCM of 2, 4, and 8]}\\\\\implies 8\left(\dfrac{1}{4}+\dfrac{x+1}{8}\right)=8\left(\dfrac{1}{2}\right)\textsf{[multiply]}\\\\\implies \left(\dfrac{8}{4}+\dfrac{8x+8}{8}\right)=\dfrac{8}{2}\ \textsf{[divide]}\\\\\implies 2 + x + 1 = 4\ \textsf{[add]}\\\\\implies x + 3 = 4\ \textsf{[subtract 3 from both sides]}\\\\\implies x + 3 - 3 = 4 - 3\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1+1}{8}\right)=\dfrac{1}{2}\ \textsf{[simplify]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{2}{8}\right)=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1}{4}\right)=\dfrac{1}{2}\ \textsf{[add]}\\\\\implies \dfrac{2}{4}=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{2}=\dfrac{1}{2}\ \checkmark\ \textsf{[true statement]}[/tex]

Answer:

10sr2 or 14.1421356

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

if the triangle is an Isosceles triangle, then it's other two angles measure 45° each.

So, let's use Trigonometry here :

[tex]\qquad \sf  \dashrightarrow \: \cos(45) = \dfrac{10}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{10}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 10 \sqrt{2} [/tex]

Therefore, the value of x is 10√2 units

Answer:

x=6/5 and x=-(1/2)

Step-by-step explanation:

[tex]f(x) = 10x^3-37x^2+15x+18\\f(x) = \frac{(5x-6)(2x+1)(x-3)}{(x-3)}\\ f(x) = (5x-6)(2x+1)[/tex]

To find the zeros, we set f(x) = 0 for both factors

[tex]5x-6=0\\5x=6\\x=6/5[/tex]

[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]

Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)

Answer:

C. Students in language arts classes.

Step-by-step explanation:

Because out of all of the options, this one seems like it is the best time that they could get the students attention and get an acurate response.

Answer:

18.83% (nearest hundredth)

Step-by-step explanation:

Continuous Compounding Formula

[tex]\sf A=P(e)^{rt}[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\sf \implies 1300=420(e)^{6r}[/tex]

[tex]\sf \implies \dfrac{1300}{420}=e^{6r}[/tex]

[tex]\sf \implies e^{6r}=\dfrac{65}{21}[/tex]

Taking natural logs of both sides:

[tex]\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r\ln e=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r(1)=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies 6r=\ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=\dfrac16 \ln \dfrac{65}{21}[/tex]

[tex]\sf \implies r=0.1883108054...[/tex]

Therefore, the interest rate is 18.83% (nearest hundredth)

Answer:

x = 30.9

Step-by-step explanation:

[tex]x = \frac{1}{2} (138 - 76.2) = \frac{1}{2} (61.8) = 30.9[/tex]

180.....,...........

Step-by-step explanation:

angle A + angle B + angle C = 90+45+45

                                                = 180

The characteristics of this scatter plot

Hence ,this scatter plot has Moderately postive linear relationship without any outliner

The perimeter of the flag Akihiro draws is the sum of the flag's side lengths

The perimeter of the flag Akihiro draws is 20 units

From the coordinate plane, the side lengths of the flag are:

6 units, 4 units, 6 units and 4 units

Add up the side lengths, to determine the perimeter (P)

P = 6 units + 4 units + 6 units + 4 units

Evaluate the sum

P = 20 units

Hence, the perimeter of the flag Akihiro draws is 20 units

Read more about perimeter at:

https://brainly.com/question/24571594

Answer:

20 units

Step-by-step explanation:

Answer:

if 5=70

  2=?

cross multiply=28

add  70+28=98          

Step-by-step explanation:

Answer:

79-22=57.

Your answer is correct. You also have to fill in the second one (B)

Answer:

79-22=57

Step-by-step explanation:

I can explain on phone

Answer:

11.5

Step-by-step explanation:

10 + a / 4    if a = 6

10 + 6 / 4

10 + 1.5

11.5

I hope this helps! Have a lovely day!! :)

Answer:

23/2 or 11.5

Step-by-step explanation:

Simplify 6/4 --> 3/2

Convert 10 into a fraction --> 20/2

20/2 + 3/2 = 23/2

Answer:

the first one

Step-by-step explanation:

Answer:

its 1/sqrt{5}+2

Step-by-step explanation:

y= (-2/3) x-6 is parallel to y= (-2/3)x +4 goes through the point (3,-8)

Answer:

a, c, d

Step-by-step explanation:

This is because there share the same answer:

12x + 6

hope this helps =)

Answer:

A.15.21

Step-by-step explanation:

In rounding of numbers when the next number is greater than 5 u round it on next number by adding one