What function is the inverse of the exponential function y = 3^x?

Answer:

Step-by-step explanation:

IH:GH = 45:30 = 3:2

JK:GK = 36:GK = 3:2

GK = 24

Answer:

Connie

Step-by-step explanation:

Determine the reading rate of the three students each. The student with the highest number of pages per minute is the fastest student (i.e. reads more words per minute).

✔️Stew's Reading Rate:

2650 ÷ 10 = 265 words per minute

✔️Connie's Reading Rate:

From the graph, it shows that 200 words are read in 1 minute.

So we have, 200 words per minute.

✔️Felicia = 260 words per minute

Therefore, we can conclude that Connie is the fastest because Connie reads more words per minute, which is 265 words per minute. Connie reads at a faster rate.

Answer:

x = 3

Step-by-step explanation:

Given that,

[tex]x=\sqrt[3]{27}[/tex]

We need to show work to solve it.

We know that,

27 = 3×3×3

or

27 = (3³)

So,

[tex]x=\sqrt[3]{3\times 3\times 3}\\\\=(3^3)^{\dfrac{1}{3}}\\\\x=3[/tex]

Hence, this is the required solution.

Answer:

Step-by-step explanation:

d = (4×180) - (3×90)

d = (720) - (270)

d = 720 - 270

d = 450

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Answer:

The answer is below.

Step-by-step explanation:

A square is a quadrilateral (has four sides and four angles) in which all the sides are equal. Also all the angle of a square are equal and measure 90°. The diagonals of a square are equal.

In square ABCD:

AB = BC = CD = AC

Given that  P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b.

a) In triangle ABP:

BC = AB (all sides of a triangle are equal)

BP = 1/2 (BC) = 1/2(AB) = 0.5AB

Using Pythagoras theorem:

AB² + BP² = AP²

substituting:

AB² + (0.5AB)² = a²

AB² + 0.25AB² = a²

1.25AB² = a²

AB² = a² / 1.25

AB² = 0.8a²

AB = √(0.8a²)

AB = a√0.8

b) In triangle ADQ:

AD = CD (all sides of a triangle are equal)

DQ = 1/2 (CD) = 1/2(AD) = 0.5AD

Using Pythagoras theorem:

AD² + DQ² = AQ²

substituting:

AD² + (0.5AD)² = b²

AD² + 0.25AD² = b²

1.25AD² = b²

AD² = b² / 1.25

AD² = 0.8b²

AD = √(0.8b²)

AD = b√0.8

c) In triangle ABD, Using Pythagoras theorem:

AB² + AD² = BD²

Substituting:

0.8a² + 0.8b² = BD²

But AB = AD (all sides of a triangle are equal). Hence AB = AD = 0.8a² = 0.8b²

BD = √(0.8a² + 0.8b²)

BD = √(1.6a²)     0.8a² = 0.8b²

BD = a√1.6

D) AC = AD (diagonal are equal)

AC = √(0.8a² + 0.8b²)

AC = √(1.6b²)     0.8a² = 0.8b²

AC = b√1.6

Answer:

z(18+9)=z*27=27z

Step-by-step explanation:

Answer:

(18+9)*z=27z

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

Answer

IM not too sure

Step-by-step explanation:

Not too sure sorry kid

Answer:

25 and 10 are the numbers

Step-by-step explanation:

Find total mass:

Human: 65 kg x 6,840,000,000 = 444,600,000,000 kg

Ants: 4x10^-3 = 0.004g

0.004 x 10,000,000,000,000,000 = 40,000,000,000,000g

Divide total grams by 1000 to get kegs:

40,000,000,000,000 /1000 = 40,000,000,000 kgs.

Divide total mass of humans by total mass of ants:

444,600,000,000 / 40,000,000,000 = 11.115

Mass of humans is 11.115 times more than ants.

Rounded to the nearest whole number = 11 times more.

Answer:

happy to help, but c and d are not included in your question

Answer:

[tex]\boxed{a = 3}[/tex]

Step-by-step explanation:

[tex] (using \: the \: points : (2, \: 7) = ( x_{1}, \: y_{1}\: \: ) \\ hence : (a, \: 2) = ( x_{2}, \: y_{2}\: \: ) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{2 - 7}{a - 2} \\ - 5 = \frac{2 - 7}{a - 2} \\ - 5(a - 2) = 2 - 7 \\ - 5a + 10 = 2 - 7 \\ - 5a = - 5 - 10 \\ - 5a = - 15 \\ a = \frac{ - 15}{ - 5} \\ \boxed{a = 3}[/tex]

Answer:

67

Step-by-step explanation:

100 - 33 = 67

The difference between 100 and 33 is 67.

The answer is 67 if you go to your calculator app and do 67+33 it equals 100

Answer:

D) 31

Step-by-step explanation:

2x-7+2x+63=180

4x+56=180

4x=180-56

4x=124

x=124/4

x=31

Answer:

(d) x = 31

Step-by-step explanation:

(2x)° + (2x - 7)° + 63° = 180°

4x - 7 + 63 = 180

4x = 180 - 56

4x = 124

x = 31

Answers:

11.) 0.25

12.) 3:20

13.) 0.75

14.) 19

Answer:

Question 11: 0.25

Question 12: 3:20

Question 13: 0.75

Question 14: 19

Answer:

2952 square centimeters are needed to cover the exterior of the box.

Step-by-step explanation:

We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:

[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)

Where:

[tex]w[/tex] - Width, measured in centimeters.

[tex]l[/tex] - Length, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:

[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]

[tex]A_{s} = 2952\,cm^{2}[/tex]

2952 square centimeters are needed to cover the exterior of the box.

Answer:

3/16

Step-by-step explanation:

P(6,7,8 and 'T') = 3/8 x 1/2 = 3/16

Answer:

12/64

Step-by-step explanation:

We have numbers 1-8 = /8

We have the numbers 6, 7, 8 on the spinner = 3/8

We have the event it doesn't get over 8 too = 8/8-3/8 = 5/8

To use if the question has two events for spinner.

We toss a coin = H or T = 1/2

We convert a 3/8 and 1/2 to same HCF = 4/8 = ( 2x 4 = 8)

3/8 x 4/8 = 12/64

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C, from the equation y=mx+c

Answer:

20 percent

Step-by-step explanation:

7.5 gallons - 6 gallons = 1.5 gallons

[tex]\frac{1.5}{7.5}[/tex] × 100 = 0.2 × 100 = 20 %

Answer:

20%

Step-by-step explanation:

First, find how much decrease there was: 7.5 - 6 = 1.5

This means the decrease was 1.5/7.5. To convert this to percentage, divide 1.5 by 7.5:

1.5 ÷ 7.5 = 0.20

0.20 = 20% decrease

Answer:

✔️2a + 6 + 7a

✔️2a + 7a + 6

✔️9a + 6

Step-by-step explanation:

Given:

2(a + 3) + 7a

Required:

3 equations equivalent to the given expression

Solution:

2(a + 3) + 7a = 2a + 6 + 7a = 2a + 7a + 6

= 9a + 6

From the above, we can pick 3 expressions that are equivalent to 2(a + 3) + 7a. They are:

✔️2a + 6 + 7a

✔️2a + 7a + 6

✔️9a + 6

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

First, we determine the value of the 5 installments using a 5% annual compounded rate.

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

Now, if the annual rate is 6% continuously compounded.

First, we need to calculate the effective interest rate:

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

Answer:

90/100

Step-by-step explanation:

both equal 0.9

Answer:

[tex]\frac{90}{100\\}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}[/tex] equals [tex]\frac{90}{100\\}[/tex]

By multiplying the numerator and denominator of [tex]\frac{9}{10}[/tex] by 10, we get [tex]\frac{90}{100\\}[/tex] .

9 x 10 = 90

10 x 10 = 100

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (6x)° +x° +(2x)° = 180°

  9x = 180

  x = 20

  ∠B = (2·20)° = 40°