Answer:
The value of a is 7.
The value of b is 3.
Step-by-step explanation:
We are given the following function:
[tex]f(x) = ab^{x}[/tex]
Point (0,7)
This means that when [tex]x = 0, f(x) = 7[/tex]. So
[tex]f(x) = ab^{x}[/tex]
[tex]7 = ab^{0}[/tex]
[tex]a = 7[/tex]
So
[tex]f(x) = 7b^{x}[/tex]
(3, 189)
This means that when [tex]x = 3, f(x) = 189[/tex]. We use this to find b. So
[tex]f(x) = 7b^{x}[/tex]
[tex]189 = 7b^{3}[/tex]
[tex]b^3 = \frac{189}{7}[/tex]
[tex]b^3 = 27[/tex]
[tex]b = \sqrt[3]{27}[/tex]
[tex]b = 3[/tex]
The value of b is 3.
Answer:
C
Step-by-step explanation:
C is the answer
Which is more, 6 tablespoons or 17 teaspoons?
Answer: 6 tablespoons is more
Step-by-step explanation:
6 tablespoons equals 18 teaspoons therefore its more
an experiment compares the heights of two plants over time. a plant was 2 cm tall at the beginning of the experiment and grew 0.5 centimeters each day. the function f(t)=0.5t+2 represents the height of the plant in centimeters after t days.
The graph shows the height of the second plant, g(t) in centimeters, as a function of time t in days.
Part 1: which plant, f or g, was growing faster?
Part 2: Which plant, f or g, was taller to begin with?
Part 3: Which plant, f or g, was taller after 8 days?
Answer:
Part 1: plant f
Part 2: plant g
Part 3: plant g
Step-by-step explanation:
✔️First plant:
Function: f(t) = 0.5t + 2
where,
f(t) = height of plant
t = number of days
m = slope/rate of change = 0.5 cm/day
b = y-intercept/initial height = 2 cm
✔️Second Plant: using two points on the graph, (0, 5) and (16, 9), let's find b and m for the function of the second plant.
Slope/rate of change (m) = ∆y/∆x = (9 - 5)/(16 - 0) = 4/16 = 0.25
m = 0.25 cm/day
The y-intercept or initial height is the y-coordinate of the point where the line intercepts the y-axis = 5
b = 5 cm
Towbrute the equation of the function, substitute m = 0.25 and b = 5 into g(t) = mt + b
Thus:
g(t) = 0.25t + 5
Knowing these, let's answer the problem given:
Part 1: plant f was growing faster because it has a greater rate of change/slope (m) of 0.5 cm/day
Part 2: plant g was taller because it has a greater initial value/y-intercept (b) which is 5 cm
Part 3: To find out which plant was taller after 8 days, substitute t = 8 into the equation of each function:
Plant f: f(t) = 0.5t + 2
f(8) = 0.5*8 + 2 = 4 + 2
f(8) = 6 cm
Plant g: f(t) = 0.25t + 5
g(8) = 0.25*8 + 5 = 2 + 5
g(8) = 7 cm
Thus, plant g was taller after 8 days having 7 cm
Choose 1 answer pls I need help asap
Answer:
its a complementary angle, so number B
Step-by-step explanation:
PLS HELP 20 PTS
how many solutions are there to this nonlinear system?
a. two solutions
b. no solutions
c. one solution
please help me i really need help please
Answer:
Savannah, GA
Step-by-step explanation:
I just looked it up.
What is the variance of a data set?
Answer: In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean, and it informally measures how far a set of (random) numbers are spread out from their mean.
Step-by-step explanation: Hope this helps
The double number line shows the price of one cup cake. complete the table to show the same information as a double number line.
Answer:
7.5 (first box)
12 (2nd)
27 (3rd)
Step-by-step explanation:
7.5 (first box)
12 (2nd)
27 (3rd)
Scale factor of quad STOP to quad RAIN____ pls answer I need this so baddd
Answer:
The scale factor is 1/9
Step-by-step explanation:
99 × 1/9 = 11
Mr. Charles bought dinner for his family.
• The dinner cost $46.95.
He left a 15% tip.
About how much tip did Mr. Charles leave?
Answer:
46.95x15%= 7.04 so the top was about 7 dollars
A flag pole casts a 5 foot shadow while a nearby sign post casts a l 1/4 foot shadow. Find the height of the flagpole if the sign post is 4 feet high.
Answer:
16 ft
Step-by-step explanation:
if the signpost is 4 ft and the shadow is 1.25 feet, the ratio of the shadow to post is 1.25:4 or 5/16
If the flagpole makes a 5 ft shadow, the equation for the height is 5/(5/16)
5/(5/16) = 5/0.3125 = 16
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points)
A. It is a valid sample because the first eight people were selected to participate.
B. It is not a valid sample because it is not a random sample of the population.
C. It is a valid sample because money was offered to participants.
D. It is not a valid sample because it is only a short study.
Answer:
B.
Step-by-step explanation:
Its meh best guess
Answer:
B.
Step-by-step explanation:
I think it is B
please answer this thanks
Answer:
A.
m<a=30
m<a+m<b=180° linear pair
m<b=180-30=150°
1.m<b=150°
again
m<d+m<a=90° right angle
m<d=90-30=60°
2.m<d=60°
again
m<d+m<c=180° linear pair
m<c=180-60=120°
3.m<c=120°
Can I get some help!
Answer:
-10
Step-by-step explanation:
you just count down each line by 2 until you get to the blue point
A line passes through the point (-10,8) and has a slope of 1/2.
Write an equation in slope-intercept form for this line.
Answer:
the answer is y=1/2x+13
what does noncollinear
9514 1404 393
Answer:
not on the same line
Step-by-step explanation:
Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.
Any point not on the line is noncollinear with the points that are on the line.
please help this is so hardddd
Answer:
x < 9 ; x > 15
Step-by-step explanation:
| x - 12 | > 3
x - 12 > 3
x > 12 + 3
x > 15
-x + 12 > 3
-x > 3 - 12
-x > -9
x < 9
Combined:
x < 9 ; x > 15
3 mugs have the same capacity as 2 bottles. The capacity of 10 mugs and
8 bottles is 15.4 l. Find the capacity of a mug.
Answer:
0.70L
Step-by-step explanation:
3m=2b
convert 8 b to mugs
therefore 8b=12m
12m+10m=22m
15.4/22=0.700l
8 minutes whats the distance she walks
Answer:
It depend on the speed that she was walking, if she was faster she would have a greater distance. But is commonly considered to be half a mile.
Hope it helps!
the angle of parallelogram is 12 less than 5 times the measure of these angle
let one angle be X
so, other angle be 5x-12
ATQ
X+5x-12=180
6x=180-12
6x=168
X=168/6
hence X=28
now,one angle=28
other angle is 5×28-12
= 140-12.
= 128
NEED HELP
WIll GIVE THE BRAINLIEST
9514 1404 393
Answer:
B) f(x) = 3
Step-by-step explanation:
The value in the f(x) column is always 3, so the only reasonable choice is ...
f(x) = 3
Answer:
the answer is B.
Step-by-step explanation:
:))))))
Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Answer:
180 degrees minus 54 equals jml
Step-by-step explanation:
180-54=JML
Given f z please help
Answer:
z = -11, z = -2
Step-by-step explanation:
Given that, ([tex]f(z)=\sqrt{z+27} -z[/tex]) and ([tex]f(z)=7[/tex]), set up an equation that puts the first value of ([tex]f(z)[/tex]) equal to the other given value of the function.
[tex]f(z)=\sqrt{z+27}-z=7[/tex]
Use inverse operations to solve,
[tex]\sqrt{z+27}-z=7\\\\\sqrt{z-27}=7+z\\\\z+27 = (7+z)^2\\\\z + 27 = 49+14z+z^2\\ -(27+z)\\\\0 = z^2+13z+22[/tex]
Factor,
[tex]0=(z+11)(z+2)[/tex]
Solve using the zero product property, the zero product property states that any number times zero equals zero;
[tex]z=-11,z=-2[/tex]
Answer:
Then solve the rest using the quadratic formula
Can someone please help me am stuck on this, thanks.
Answer:
First box: -5, 0, 6, 9
Second box: 10, 12.5
Step-by-step explanation:
4x-12≤24
4x≤24+12
4x≤36
x≤36÷4
x≤9
So the first box would have all the solutions less than or equal to 9:
-5, 0, 6, 9
And the second box would have the solutions greater than 9:
10, 12.5
The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) are
Person 1 2 3 4
Weight before the diet 180 125 240 150
Weight after six weeks 170 130 215 152
For the population of all adults, assume that the weight loss after six weeks on the diet (weight before beginning the diet minus weight after six weeks on the diet) is normally distributed with mean (µ). When testing the claim that the diet leads to weight loss after six weeks for all adults given that α=0.05, do you reject or fail to reject the Null Hypothesis, why or why not?
Answer:
hope this help you
have a nice day/night
find the volume of the cylinder
Answer:
V≈56.55
Step-by-step explanation:
V=πr2h=π·32·2≈56.54867
Hope this helps and have a wonderful day!!!!
please help me. right answer will get brainliest
Answer:
I attached the answers :)
Step-by-step explanation:
hope this helps :)
(Its a bit messy becuz i used a mouse to write, sry about that)
12
8
x + 2
х
X=?
Find x
Answer:
11
Step-by-step explanation:
12+8+x+2+x
2x=22
x=22÷2
x=11
William needs to take out a loan for $2,400. Which of these payment plans would have William
paying the last interest
A 18 payments of $144.15
8 12 Payments of $211
C 15 payments of $170.88
D payments of $110.75
Ava is decorating cupcakes for a wedding.
of the cupcakes are yellow.
3/10
of the remaining cupcakes are green.
3/4
The rest of the cupcakes are purple.
Ava made 120 cupcakes. How many purple cupcakes?
Answer:
21 are purple
63 are green
36 are yellow
Step-by-step explanation:
30% of 120 is 36
120 - 36 = 84
75% of 84 is 63
84 - 63 = 21
Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale to the larger map?
Answer:
1 inch:625 feet
Explanation:
125 x 5 = 625