If f(x) is an exponential function where f(-1.5)=26 and f(5.5)=7 then find the value of f(10), to the nearest hundredth

Answers

Answer 1

Answer:

5.0956537e-46

Step-by-step explanation:

^ means root

* means multiply

f(x) = ab^x

f(-1.5)=26 = ab^-1.5

f(5.5)=7 = ab^5.5

f(5.5)/f(-1.5) = 26/7 = ab^5.5/ab^-1.5

3.714 = b^7

b = 3.714^-7

f(-1.5)=26 = ab^-1.5

26 = ab^-1.5

26 = a * 3.714^-7

a = 3.714^-7 / 26

a = 0.00000394578

f(10) = ab^10

f(10) = 0.00000394578 * (3.714^-7)^10

f(10) = 5.0956537e-46


Related Questions


At her gym, Ximena spends 30 minutes on each
aerobic workout and 20 minutes on each
weight-lifting workout. Last week, Ximena spent
between 190 and 230
minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?

Answers

Answer:

28o

Step-by-step explanation:

What should be done first to evaluate the expression?

3 + (5 - 3)2 × 4

Answers

Answer:

19

Step-by-step explanation:

19 is the answer I think so


One number is 10 less than three times a second number. If their sum is 46, find the larger of the two numbers.

Answers

Answer:

32

Step-by-step explanation:

Number 1 =x

Number 2 =(3x-10)

number 1 + number 2 =46

x+(3x-10)=46

4x=56

x=14

Number 1 =x=14

Number 2=3x-10

                 3(14)-10

                   32

Number 1 (14)+Number 2 (32)=46

solve the equation x^2 -100 = 0

Answers

The answer would be 10



:)

What is the value of x |-16|

Answers

Answer:

16

Step-by-step explanation:

|-16| = the distance between -16 and 0
Hence, the answer is 16
16x I believe .........

Students were asked to choose their favorite season. If 2/9 of the students
chose spring and 5/9 chose summer, what fraction chose either spring or
summer?

Answers

Answer:

7/9

Step-by-step explanation:

2/9+5/9=7/9

What is the end behavior? 10 points!!

Answers

Given:

The given function is:

[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]

The graph of the function is given.

To find:

The end behavior of the given function.

Solution:

We have,

[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]

From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.

[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]

[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]

Therefore, the end behaviors of the given function are:

[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]

[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]

The water level of a pond drops an inch every 12 days without rain. How
many days will it take the pond's water level to drop by 11 inches?

Answers

Answer:

1 to 7 days

Step-by-step explanation:

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.

Ava’s graph is a vertical translation of f(x) = x2.
Victor’s graph is a vertical translation of f(x) = x2.
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
Ava’s graph has a y-intercept of 4.

Answers

Answer:

Step-by-step explanation:

A: true. Her graph goes 4 units up.

B: False. His graph goes 4 units to the left. Be sure you check this answer out.

C: True. It moved from (0,0) to (0,4)

D: Victor's graph move left in the minus direction. False.

E. True. See C.

The correct statements are true regarding the two graphs are as follows;

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

What is the function?

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

Ava graphs the function h(x) = x^2 + 4.

Victor graphs the function g(x) = (x + 4)^2.

To find the y-intercept we plug in 0 for x;

[tex]\rm h(x) = x^2 + 4\\\\h(0)=(0)^2+4\\\\h(0)=4[/tex]

Ava’s graph has a y-intercept of 4.

Ava graphs the function h(x) = x^2 + 4.

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2.

Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function g(x) = (x + 4)^2.

If any number is added with x then the graph will be shifted left. the graph will be shifted in the negative x-direction.

Learn more about function here;

https://brainly.com/question/1453942

#SPJ2

Printed Pages in Color Time (min), x 2 6 8 18 Number of pages, y 3 9 12 27 What is the constant of variation?

Answers

Answer:

3/2

Step-by-step explanation:

formula k = y/x

comes from

y = kx

k = constant of variation

when y = 3 , x = 2

k = 3/2

Can someone please help me! Big ideas number 22 8.4

Answers

Answer:

26

Step-by-step explanation:

the whole area is the sum of the area of the rectangle in the middle and the 2 triangles on either side of the rectangle.

sBC = distance between (0,3) and (4,-1)

and that is the Pythagoras calculation with the coordinate differences

sBC² = (4-0)² + (-1 - 3)² = 16 + 16 = 32

sBC = sqrt(32) = sFE

to get the area of the rectangle we need also FB (or CE).

sFB² = (0 - -2)² + (3-1)² = 4 + 4 = 8

sFB = sqrt(8) = sCE

area of rectangle is

sBC×sFB = sqrt(32)×sqrt(8) = sqrt(32×8) = sqrt(256) = 16

the area of a right-angled triangle is

a×b/2

we have sFB and need sAF

sAF² = (-5 - -2)² + (4-1)² = 9 + 9 = 18

sAF = sqrt(18)

the area of the left triangle is

sFB×sAF/2 = sqrt(8)×sqrt(18)/2 = sqrt(8×18)/2 = sqrt(144)/2 = 12/2 = 6

for the right triangle we have sCE and need sED.

sED² = (2 - 4)² + (-3 - -5)² = 4 + 4 = 8

sED = sqrt(8)

the area of the right triangle is

sCE×sED/2 = sqrt(8)×sqrt(8)/2 = 8/2 = 4

so in total we have for the area

16 + 6 + 4 = 26

There are 28 marbles in the box. There are 12 red marbles, 10 blue marbles, and 6 yellow marbles. What percent of the marbles are NOT yellow?

Answers

Answer:

There are 28 marbles in the box. Some are red (12), others are yellow (6) and others are blue (10).

If in this box there 28 marbles and 6 of them are yellow, we substract to get the quantity of marbles that aren't yellow: 28-6 = 22

So 22 of the 28 marbles aren't yellow: 22/28, which we can simplify dividing the numerator and denominator by 2: 11/14

Simplify this expression:
-(x+2)+4

i have no idea im not good with math ;(

Answers

ANSWER :

- ( x+ 2 ) + 4

-x - 2 + 4

-x + 2

Answer:

−x+2

Step-by-step explanation:

-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.

Add -2 and 4 and that will turn into -x+2.

Help!!!! hurry quick pls

Answers

Answer:

A.

by-step explanation:

m to k

1 to 1.609

Complete the similarity statement for the two triangles shown
40 m
15 m
30 m
25 m
>H
Enter your answer in the box
20 m
50 m
S
F
ACHS ~A

Answers

Answer:

TFY

Step-by-step explanation:

let's start with the 90 degrees angle.

this is C in the first, and T in the second triangle.

so, C and T must be aligned.

and the we go around.

F ~ H

and then

Y ~ S

Can someone help me with this math homework please!

Answers

Answer:

-1

Step-by-step explanation:

we match the input to the output to find that f(3) points towards -1

BRAINLIEST FOR ANSWER WITH EXPLANATION
JUST ONE QUESTION ATTACHED BELOW:

Answers

Answer:

m=16

Step-by-step explanation:

(6+6)/m=6/8

12/m=6/8

M=16

Answer:

16

Step-by-step explanation:

This triangle has been dialated; ILM is a dialated version of IJK. We know that dialations are by scale factors, and we also know the length of two corresponding sides.

IM is 6 m long, and IMK is 6+6 m long, so 12 m. So using simple ratios, we know the dialation factor from ILM to IJK is 2. The corresponding side for JK (m) is LM, which we know is 8 m. So side m is 16 because of the scale factor (2).

Maybe you thought we were solving for "m", as in a varriable all the sides are multiplied by, but I think that's just bad labeling. Hope this helps!

Triangle D E F is shown. Use ΔDEF to complete the statements. Angle E is the included angle between sides . The included angle between sides FE and DF is angle

Answers

Answer:

Angle E is the included angle between sides DE and EF.

The included angle between sides FE and DF is angle F

Step-by-step explanation:

Given

[tex]\triangle D EF[/tex]

Required

Complete the blanks

To solve this, I will attach an illustration of [tex]\triangle D EF[/tex]

From the attached image of [tex]\triangle D EF[/tex], we can see that"

[tex]\angle E[/tex] is between DE and EF

[tex]\angle F[/tex] is between FE and DF

Answer:

see picture

Step-by-step explanation:

For how many integer values of M is M/30 strictly between 1/3 and 3/5?

Answers

Answer:

6 possible intergers brainliest me

Answer:

its 7

Step-by-step explanation:

For the given triangle find the exact value for sin(A). Assume angle C is a right angle.

Answers

Answer:

53.13 degrees

Step-by-step explanation:

In order to use sin we have to use the opposite side over the hypotenuse.

[tex]\frac{4}{5}[/tex] in this case

sin(A) =  [tex]\frac{4}{5}[/tex]

[tex]A = sin^{-1} \frac{4}{5}[/tex]

Plugging this into the calculator you get about 53.13 degrees

helpppppppppppppppp//////////////////////////////////////////

Answers

Answer:

m(x)

Step-by-step explanation:

The farmer wants the ratio of horses to cows to equal 5 to 3. He keeps his 45 horses and buys more cows. Workout the number of cows he must buy

Answers

5:3
45/5 =9
45:27
Needs 27 cows

help with this plzzzz, i need perimeter and area plzzzz steps if possible will mark brainlest!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Area: 125

Perimeter: 60

Step-by-step explanation:

I got this answer by calculating the area and perimeter. To find the area, multiply length x width. To find the perimeter, you have to add your length and width two times.

26
Which defines a circle?

Answers

Answer:

a round figure that has no corners or vertices.

Step-by-step explanation:

Answer:

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.

Step-by-step explanation:

Center of a Circle

The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle.

Here, point P is the center of the circle.

center of the circle center point

Semicircle:

A semi-circle is half of a circle, formed by cutting a whole circle along a line segment passing through the center of the circle. This line segment is called the diameter of the circle.

PLEASE ANSWER QUICK!!! 30 POINTS

The figure has angle measures as shown.
A
19x - 15
26x + 20
D
9x + 25
C
B
What is the measure of ZABD?
O 150°
O 120°
O 70°
O 30°

Answers

Answer is 150°. Work is attached

Answer:

Solution given;

<ABD=<BAC+<ACB

Since exterior angle of a triangle is equal to the sum of two opposite interior angle

26x+20=19x-15+9x+25

solve like terms

26x+20=28x+10

subtracting both by 10

26x+20-10=28x+10-10

Subtracting both side by 26x

10=28x-26x

2x=10

dividing both side by 2

2x/2=10/2

x=5

Now

<ABD=26*5+20=l50°

The value of <ABD is 150°

If a student can type 120 if if if if a student can type 120 words in 3
minutes, at this rate, how many words can
she type in 5 minutes?
(C) 180
(A) 240
(D) 160
(B) 200
(E) 120

Answers

Answer:

200

Step-by-step explanation:

Given: they can type 120 words in 3 minutes

Find number of words they can type in 1 minute: Words typed in 1 minute = 120/3=40

Solution: Words typed in 5 minutes = 40 * 5 = 200

Answer:

200 words

Step-by-step explanation:

First we need to find the words per minuite the student can type

we can do this by taking the number of words typed in 3 mins and dividing it by 3

120/3 = 40

Now we know she types 40 words per min

multiply 40 by 5 to get the no. of words typed in 5 mins

40*5=200

200 is the words she types in 5 mins

pls give brainliest

The sum of the angles of all the sectors in a pie chart should add up to ???

a). 180⁰
b). 90⁰
c). 360⁰

Answer me please ... ​

Answers

Answer:

C

Step-by-step explanation:

Since the sectors all meet at the centre of the circle, then

The angles around a point sum to 360° → A

90°... See More

https//90°.com

solve for the measure of x in the drawing shown below

Answers

Answer:

50

Step-by-step explanation:

x° = 1/2 * 100°

x° = 50°

x = 50

Help!!!
Find the domain of the function. Write the answer in interval notation.

Answers

Answer:

A

Step-by-step explanation:

Given

f(x) = [tex]\frac{2}{3x+2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex] ← excluded value

Then

domain is ( - ∞ , - [tex]\frac{2}{3}[/tex] ) U ( - [tex]\frac{2}{3}[/tex], ∞ ) → A

If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?

Answers

Answer:

3

Step-by-step explanation:

We are going to be using cofunction identity cos(90-x)=sin(x).

Apply to either side but not both.

cos(22f − 1) = sin(7f + 4)

sin(90-[22f-1])=sin(7f+4)

90-[22f-1]=7f+4

Distribute

90-22f+1=7f+4

Combine like terms

91-22f=7f+4

Add 22f on both sides

91=29f+4

Subtract 4 on both sides

87=29f

Divide 29 on both sides

3=f

f=3 is between 0 and 90

Answer:

The answer is "3."

Step-by-step explanation:

Just submitted the test and got the answer correct!

Other Questions
Which sentence best describes this picture? Need help Identify the domain of the function shown in the graph An ice cream cone is 4 in across and 6 in deep. A scoop of ice cream with a diameter of 4 inches is placed on top. If the ice cream completely melts, how much ice cream spills out of the cone? Round answer to two decimal places. The feeling of love that the expresses in the poem is best contrasted by which line Reliability is how long an item or system will perform its function before it breaks. Good reliability will ______________________. Decrease logistics support requirements Increase life cycle sustainment costs Decrease system readiness Increase manpower waste Find the domain.p(x) = x^2+ 2 help me whith this please CPT (Current Procedural Terminology) codes consist of 3-4 numbers representing a unique service. True False help plzzzzzzzzzzzzzzzzzzzzzzz 38. The ______ is also not convenient to use because the process of working for it produces large numbers due to squaring. 39. The ______ is the most reliable measure of variability. 40. The lesser the variability, the ______ is the mean. Identify each of the following nouns. On the line provided, write COLL for collective noun or COMP for compound noun. Hint: One noun is both collective and compound. (image attached) step by step how to solve ? 16x^2-10.3x+10= While youre on exchange in Guatemala, your parents come to visit and offer to take you and your host family out to eat.Given that your mother doesn't eat meat except for fish, which of the menu items listed above should she NOT order?1234*Note: This is a practice activity. Completing this activity will not only prepare you for future tests and assessments but, more importantly, it will enhance your understanding of Spanish culture. This activity will not count towards your grade. Three less than the product of a number and six is twenty sevenWrite an equation to represent the sentence: 8/9 - 1/3 Very easy question for 10 pts In the past mining companies were not made responsible for the clean-up of any of the mine sites. As a result, abandoned mines had a severe impact on the environment in Ontario. Which of these is not a result of these mining practices?1) Chemical reactions producing sulphuric acid decrease soil and water PH in the area.2) Acid leaching dissolves metals found in the soil thus allowing them to enter the water system.3) Heavy metals which are left tailing ponds can dissolve and enter the water system.4) Old and inefficient mining smokestacks contaminate the soils around abandoned mine sites. Help!!Marta is solving the equation S = 2rh + 2r2 for h. Which should be the result?StartFraction S Over 2 pi r EndFraction equals h. r = hStartFraction S minus r Over 2 pi r EndFraction equals h. = hS S minus StartFraction r Over 2 pi EndFraction equals h. = hS S minus StartFraction 2 pi Over r EndFraction equals h. = h write a crtique of a quiet place 2!! please help Calcule as expresses: a) (-1/2) + 2/5 = b) (-1/2) + 1 = c) (2/5) x (-1/2) = d) 2 x (-1/3) - (1/2) = e) 1 + (+2/5) ( ) = Select the correct answer from each drop-down menu. Study the graphs, and then complete the passage. An anomaly in global temperature is a deviation from what is normal or expected. The graph shows that global atmospheric co2 ___(increased exponentially. Remained constant. Increased slightly)in the twenty-first century, and global temperature also increased during the same time. Based on the timeline, these statistics suggest a correlation between climate change and ___(wind energy production. Use of electric cars. Industrial carbon emissions). If the current trend of increasing co2 levels continues, the greenhouse effect will continue to ___(warm the planet. Release gas into space. Destroy carbon dioxide) .