Find the y=a(b)^x form for the exponential function passing through points (1,48) and (3,12)

Answers

Answer 1

Answer:

y = 96 * (1/2)ˣ   or

y = (-96)*(-1/2)ˣ

Step-by-step explanation:

y=a(b)ˣ

pass (1 , 48):  48 = a * b¹        ab = 48   ...(1)

pass (3 , 12):   12 = a * b³       ab³ = 12   ...(2)

(2)/(1):   ab³/ab = b² = 12/48 = 1/4

b = 1/2 or b = - 1/2

a = 96  or a = -96


Related Questions

What type of slope does
this line have?
X
A. Positive Slope
B. Negative Slope
C. o Slope
D. Undefined Slope

Answers

Answer:

c) 0 slope

Step-by-step explanation:

the line is parallel to Y axis. this, it'll have 0 slope

A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?

Answers

$9.86

explanation:
100-32=68
14.5(.68)

Given the relationship "10 arms for every 8 eyes", if there are 12 eyes, how many arms are there?

Answers

Answer:

18 arms

Step-by-step explanation:

12÷8=1.8

10×1.8=18

Suppose an elevator can hold no more than 3,000 pounds. Which inequality correctly describes the situation for the weight, w? A. w < 3,000 B. w ≤ 3,000 C. w > 3,000 D. w ≥ 3,000

Answers

Answer:

b

Step-by-step explanation:

help me please!!!! asap Tia​

Answers

Answer:

All of them should be marked sicne they are all less than 12.

Step-by-step explanation:

Answer:

m = 6, m = 1, m = 5, m = 7

Step-by-step explanation:

All the options are solutions of m < 12.


I really need help on this. You don’t have to but if you can help it’s greatly appreciated and I will mark you brainliest!!

Answers

Answer:

below⬇⬇⬇⬇⬇⬇

Step-by-step explanation:

since the table mostly gives us the answer, i think its:

[tex]\frac{100}{x}[/tex]=[tex]\frac{200}{22.4}[/tex]

⬆⬆⬆⬆that's your answer <3333

Answer:

Step-by-step explanation:

100 / x    = 200/22.4

cross multiplication

200x = 22.4 x 100

200x = 2,240

divide by 200

x = 11.2

It makes sense since 100 is half of 200 then 11.2 is half of 22.4

Find the circumference and area of each circle. Include the formula thank you

Answers

Circumference=16 pi
Area=64 pi
Below is my methods

Answer:

Circumference: 50.27 cm

Area: 201.06 cm²

Step-by-step explanation:

Hi there!

1) Determine the circumference

[tex]C=\pi d[/tex] where d is the diameter of the circle

Plug in the diameter (16 cm)

[tex]C=16\pi\\C=50.27[/tex]

Therefore, the circumference is 50.27 cm when rounded to the nearest hundredth.

2) Determine the area

[tex]A=\pi r^2[/tex] where r is the radius

Plug in the radius (16/2=8)

[tex]A=\pi (8)^2\\A=64\pi\\A=201.06[/tex]

Therefore, the area of the circle is 201.06 cm² when rounded to the nearest hundredth.

I hope this helps!

Jon's shadow is 4 feet long while the shadow of a building is 106 feet long. If Jon is 6 feet tall, how tall is the
building?

Answers

Answer:

159f

Step-by-step explanation:

simple math:

4/6 = 106/x

2/3 = 106/x

2x/3 = 106

2x = 318

x = 159

A spinner has 17 equal-sized sections marked 1 through 17. Find the probability. Enter your answer as a simplified fraction.

You spin once and land on an odd number.


The probability that you land on an odd number is

Answers

The answer is c my g

Which line has the greatest slope?

Answers

Answer:

Line B

Step-by-step explanation:

Automatically, we can eliminate Line C, because the slope is negative, since the question's asking which one is the greatest slope. However, if you do want to find the slope of Line C, you can use the rise/run method or the slope formula. Using the coordinate sets (0, 0) and (1, -2) and applying y2-y1/x2-x1 = -2-0/1-0 = -2/1 = -2.Line A's slope is 1/2. You can either find this out by applying the rise/run formula (rise = 1, run = 2) or you can find 2 coordinate sets to solve for slope. In this case, I'll use (0, 0) and (2, 1). Using the formula y2-y1/x2-x1... 1-0/2-0 = 1/2.Line B's slope is 2. As stated in Line A, you can find this by applying the rise/run formula or using 2 coordinate sets. I'll use the points (0, 0) and (1, 2). Using the formula y2-y1/x2-x1... 2-0/1-0 = 2/1 = 2.

Since the question is asking which line has the greatest slope, the line that has the greatest slope would be Line B. (2 > 1/2 > -2)

explain why a mixed number is a rational number

Answers

Mixed numbers are all rational numbers because they can be expressed as a fraction.

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded region. Use the value 3.14 for at, and do not round your answer. Be sure to include the correct unit in your answer.
PLEASE HELP​

Answers

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

                                     = [tex]\frac{1}{2}\pi (OP)^{2}[/tex]

                                     = [tex]\frac{1}{2}\pi (4)^{2}[/tex]

                                     = 25.12 cm²

Area of the shaded region = 32 - 25.12

                                              = 6.88 cm²

NEED HELPPPPP LOL XDDDDD OH MY GODDD

Answers

Answer:

yo w t f is thisssssss

Step-by-step explanation:

b  c  idek im so cluless rn im in 7th grade XD

What is the value of 2x + 3y when x = 5 and y = 2?
A. 6
B. 7
C. 12
D. 16
E. 19

Answers

The answer is going to be 16. So D

Answer:

16

Step-by-step explanation:

What is the answer for m?

Answers

Answer:

47

Step-by-step explanation:

180 - 86 = 94
94/2 = 47

Correct answer is A. 47 degrees

I need help with this answer

Answers

Answer:

less than or equal to

Step-by-step explanation:

Answer:

less equal to. hope it helps

If f(x)=x^2-2x+11, find f (-2)

Answers

Answer:  f( -2) = 19

Step-by-step explanation:

plug '-2' into every place 'x'  is in

so the new equation would be

f(-2) = (-2)^2 - 2(-2) + 11

and now solve :)

f ( -2) = 4 - ( -4) + 11

f (-2) = 4 + 4 + 11

f ( -2 ) = 19

Find the missing angle!

Answers

Answer:

missing angle = 70 degrees

Step-by-step explanation:

180 -120 =60, because supplemenatery angles add up to 180 degrees.

sum of all angles of a triangle = 180. so 180-60-50=70 degrees

Answer:

? = 70°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an exterior angle of the triangle, then

? + 50° = 120° ( subtract 50° from both sides )

? = 70°

the angle between the length of a rectangle and its diagonal is 30degrees. if the length of the rectangle is 6cm, find the length of diagonal.

Answers

Answer:

view the picture

Step-by-step explanation:

It is self explanatory

The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?​

Answers

Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

Work out 0.5 + 1.1 x 1.6

Answers

Answer:

=2.26

Step-by-step explanation:

0.5+1.1x1.6

multiply first (pemdas)

0.5+1.76

add

=2.26

i hope this helps :)

Answer:

0.5 + 1.1 x 1.6 = 2.26

Step-by-step explanation:

check it in a calculator so it's correct

jada and diego are practing the piano for sn upcoming rehersal the table list the number of minutes each of them practiced in the past few weeks jadas practice time 10 10 20 15 25 25 8 15 20 20 35 25 40. Diegos practice time 25 10 15 30 15 20 20 25 30 45. plz help​

Answers

Answer:

jadas practice time is 168 minutes or 2 hours 48 minutes.  Diegos practice time is 235 minutes or 3 hours 55minutes hope this helps! have a nice day and good luck with your test!

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

m1= 82

m2=98

m3=82

Step-by-step explanation:

Angle m4 is supplementary with angle m1 so their values add up to 180

180-98=82

Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.

Angle m3 is opposite of m4 so it is the same value.  It is supplementary to m1 and m3, so it must be 98 through that logic as well.

Please help!! I've been stuck on this for a while, any help is greatly appreciated!!

What is the equation that represents the table below?

Answers

Answer:

every 2.5 kilometers is another 4 miles

Step-by-step explanation:

by looking at the chart you can see that the kilometers raise by 2.5 every 4 miles.

2,6,18,54,162,486,1458.. find the term in position 12 (include all the steps, using the formula)​

Answers

Answer:

Gl=2 r=3 so you can simply answer it gl r^11

2× 3^11

I WILL MARK BRAINLIEST!!!!!!!!!
Give last answer to A, then give answer to B.

Answers

Answer:

A = 471

B = 4

Step-by-step explanation:

multiply by pi 3.14

There is 5/8 of a pie on the counter. Charlie eats 1/3 of that pie. How much of a whole pie did charlie eat

Answers

Answer:

Your anwser is 7/24

Step-by-step explanation:

Answer:

7/24

Step-by-step explanation:

How do I solve these problems?

Answers

diamond k is right yeah

Answer:

yea how do u solve it?

Step-by-step explanation:

In ΔSTU, t = 3.4 cm, u = 6.9 cm and ∠S=21°. Find the area of ΔSTU, to the nearest 10th of a square centimeter.

Answers

Answer:

4.2

Step-by-step explanation

Delta

The area of the triangle STU to the nearest of a square centimeter is 4.2 cm².

Area of a triangle

area of the triangle = 1 / 2 tu sin S

where

height = u sin S

Therefore,

t = 3.4 cm

u = 6.9 cm

∠S = 21°

Hence,

area of the triangle = 1 / 2 × 3.4 × 6.9 sin 21°

area of the triangle = 23.46 sin 21 / 2

area of the triangle = 23.46 × 0.35836794954 / 2

area of the triangle = 8.40731209633 / 2

area of the triangle = 4.20365604817

area of the triangle = 4.2 cm²

learn more on triangle here: https://brainly.com/question/22252675

6 tons =______ pounds

Answers

Answer: 12,000 lbs is equal to 6 tons

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