1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ankoles [38]
1 year ago
7

Ab" that goes through points (0,9)

Mathematics
1 answer:
Zepler [3.9K]1 year ago
5 0

y = ab^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{9})\qquad \implies 9=ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ (\stackrel{x}{10}~~,~~\stackrel{y}{9216})\qquad \implies 9216 = 9b^{10}\implies \cfrac{9216}{9}=b^{10}\implies 1024=b^{10} \\\\\\ \sqrt[10]{1024}=b\implies 2=b~\hfill \underline{y=9(2)^x}

You might be interested in
Please help me if you can. please show how you got the answer.
fomenos

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

\frac{x}{4.5}=\frac{15.3+7.4}{7.4} which simplifies a bit to

\frac{x}{4.5}=\frac{22.7}{7.4} and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

5 0
3 years ago
10) Mr. Parker wants to draw a floor plan of his office, which measures 15 feet wide by 17.5 feet long. He is using the scale 1
Anna71 [15]
The width of his office on the floor plan is 2.5 in.
3 0
3 years ago
Read 2 more answers
A point, beginning at (0,0), undergoes the following composition of translation. Write an ordered pair for the points final posi
Fiesta28 [93]

Answer:

(-1,-5)

Step-by-step explanation:

Starting at (0,0), we perform the first translation:

T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.

From there we do the second translation: T<-6,2>

which means: 6 units to the left (in the horizontal direction) which takes us to  "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.

Therefore the new location is (-1,-5)

8 0
3 years ago
John had 2/3 of his homework done sarah had 5/10 alex 7/8 and michelle 1/2 who complete most of the homework
Greeley [361]
It would be Alex. John finished 66.6 percent of his homework, Sarah completed 50 percent, and Michelle completed 50 percent of her homework. While Alex has completed 87.5 percent of his homework.
7 0
2 years ago
Read 2 more answers
Reflecting over the x-axis in words and formula
Ksivusya [100]

Answer:

Formula: (x, -y), when reflecting over the x-axis you keep the x-value the same, but change the sign of the y-value. For example: You have the original coordinates (3, 5), and if you reflect it over the x-axis it’ll be (3, -5).

4 0
3 years ago
Other questions:
  • Find the circumference of a circle with a radius of 10 inches
    6·2 answers
  • What type of line is the graph of x = -2
    10·2 answers
  • How would I set up an equation for this problem?
    11·1 answer
  • How could you use cubes to act out a problem
    6·1 answer
  • A dairy needs 332 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai
    14·1 answer
  • X+2y = −4<br> I forgot how to do the problem
    13·2 answers
  • Please Answer This N o w
    13·1 answer
  • I will mark brainlist please help!!
    13·1 answer
  • Suppose a charity received a donation of $24.6 million. If this represents 49% of the charity's donated funds, what is the total
    5·1 answer
  • Graph line y=-2x+5 with no x
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!