Answers
Answer: The equation is h(x) = 45(1/5)^x
This is the same as h(x) = 45(0.2)^x because 1/5 = 0.2
=======================================================
Explanation:
We'll start with y = a*b^x, and plug in x = 0 to find that,
y = a*b^x
y = a*b^0
y = a*1
y = a
The table says that y = 45 is the case when x = 0. So that must mean a = 45.
The value of ''a' is the y intercept and it's the initial value.
---------
So the equation y = a*b^x updates to y = 45*b^x
Let's plug in (x,y) = (1,9) and solve for b
y = 45*b^x
9 = 45*b^1
9 = 45b
45b = 9
b = 9/45
b = 1/5
b = 0.2
Therefore, the equation in fraction form is y = 45(1/5)^x
That same equation in decimal form is y = 45(0.2)^x
---------
To verify the equation, plug in various values of x and you should get y values that are shown in the table.
For instance, plug in x = 2 to find that
y = 45(0.2)^x
y = 45(0.2)^2
y = 45(0.04)
y = 1.8
which matches with the table. That verifies the 5th row. I'll let you verify the other rows.
Related Questions
What number is between 200 and 300.
Answers
250
250 is in-between 200 nd 300
A total of h males and (h - 2) females visit the museum on a certain day. If total of visitors for that day is 80, what is the value of h? A. 38 С. 40 B. 39 D. 41
Answers
Given:
Number of males = h
Number of females = (h-2)
Total number of visitors = 80
To find:
The value of h.
Solution:
We have,
Number of males = h
Number of females = (h-2)
So, the total number of visitors is:
[tex]Total=h+(h-2)[/tex]
[tex]Total=2h-2[/tex]
It is given that the total number of visitors is 80. So,
[tex]2h-2=80[/tex]
[tex]2h=80+2[/tex]
[tex]2h=82[/tex]
Divide both sides by 2.
[tex]h=\dfrac{82}{2}[/tex]
[tex]h=41[/tex]
Therefore, the correct option is D.
20
Select the correct pairs of triangles.
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1: 55°, 45°
Triangle 2: 55°, 80°
Triangle 1: 103°, 32
Triangle 2: 103, 25°
Triangle 1: 73°, 47°
Triangle 2: 47°, 30°
Triangle 1: 105°, 23°
Triangle 2: 52°, 105
Triangle 1: 99, 41°
Triangle 2: 40°, 999
Reset
Next
Answers
Answer:
Your answer would be the third one
Step-by-step explanation:
Triangle 1 - 73, 45
Triangle 2 - 47, 30
Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.
Option (4) is correct.
What is a Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
As per the given data:
We are given two angles for each pair of triangles, and we have to find out which of the pair of triangles are similar.
For any two triangles to be similar, it must have 2 angles which are having the same measure.
For, Triangle 1: 55°, 45° and Triangle 2: 55°, 80°
Only one angle is same, hence not similar.
Triangle 1: 103°, 32° and Triangle 2: 103°, 25°
Only one angle is same, hence not similar.
Triangle 1: 73°, 47° and Triangle 2: 47°, 30°
Only one angle is same, hence not similar.
Triangle 1: 105°, 23° and Triangle 2: 52°, 105
By using angle sum property in Triangle 1 the remaining angles is:
= 180 - (105 + 23) = 52°
By using angle sum property in Triangle 2 the remaining angles is:
= 180 - (52 + 105) = 23°
2 angles are same, hence similar.
Triangle 1: 99, 41° and Triangle 2: 40°, 99°
Only one angle is same, hence not similar.
Hence, Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.
To learn more on Triangle, click:
brainly.com/question/19976619
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Need quick help with this math best answer gets brainliest
Answers
[tex]\frac{1}{2} x+6(x+15)=12\\\\\frac{1}{2} x+6x+90=12\\\\6\frac{1}{2} x+90=12\\6\frac{1}{2} x=-78\\x=-12[/tex]
[tex]y=x+15\\y=-12+15\\y=3[/tex]
Find the growth factor associated with the given growth rate. Growth rate = 6% *
A. 0.06
B. 1.06
C. 0.6
D. 1.6
Answers
x + 2/3 = 8/9 x=__ ..........................................
Answers
Answer:
x = -6
Step-by-step explanation:
[tex]x+\frac{2}{3}=\frac{8}{9}x\\\\x = \frac{8}{9}x - \frac{2}{3}\\\\x - \frac{8}{9}x= -\frac{2}{3}\\\\\frac{9}{9}x-\frac{8}{9}x=\frac{2}{3}\\\\\frac{1}{9}x=-\frac{2}{3}\\\\x=-\frac{2}{3}*\frac{9}{1}\\\\x=(-2)*3\\\\x = -6[/tex]
Answer:
x = [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Given
x + [tex]\frac{2}{3}[/tex] = [tex]\frac{8}{9}[/tex] ( multiply through by 9 to clear the fractions )
9x + 6 = 8 ( subtract 6 from both sides )
9x = 2 ( divide both sides by 9 )
x = [tex]\frac{2}{9}[/tex]
Find the area if the composite shape
Answers
Answer:
111 m²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.
The area of a rectangle = length * width
For rectangle 1, length = 12 m, width = 3 m
Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²
For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m
Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²
For rectangle 3, length = 15 m, width = 3 m
Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²
Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²
What is the slope of the line in the graph?
Answers
Answer:
The slope of the line is 1
Step-by-step explanation:
Choose ALL the adjacent angles
Answers
Answer:
d, e, g, and h.
Step-by-step explanation:
Adjacent angles sit next to each other, and don't overlap.
Make x the subject of the formula
y = mx − c
pls answer asap!!
Answers
Answer:
it is slope y inreter y=mx+b becacuse rise and rund
Answer:
c+y/m=x
Step-by-step explanation:
plus the c so it makes c+y then divide the m
please may you help with
this
Answers
Answer:
y = 2x - 3
Step-by-step explanation:
Take any two points from the graph
(0,-3) & (2 ,1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-[-3]}{2-0}\\\\= \frac{1+3}{2}\\\\= \frac{4}{2}\\\\= 2[/tex]
m = 2
[tex]y - y_{1}=m(x -x_{1})\\\\y - [-3] = 2(x - 0)\\\\y + 3 = 2x\\\\y = 2x - 3[/tex]
Surface area. Math hw I need help on.
Answers
Answer:
Area of A is 30
Step-by-step explanation:
total area = 280
amount of area given= 60+60+50+50
=220
area left = 280-220
=60
Area of 1 A= 60/2
=30
HELP ME PLEASE PLEASE
Answers
Answer:
75
Step-by-step explanation:
mean=sum of data/no of data
=60+65+70+75+80+85+90 / 7
=525/7
=75
Use an algebraic approach to solve the problem.
If a ring costs a jeweler $1500, at what price should it be sold to yield a profit of 50% on the selling price?
Answers
Answer:
$2250
Step-by-step explanation:
selling the ring at 100% of $1500 would equal 1500 and yield no profit
therefore, you must sell the ring at 150% (where 100% covers the cost and the additional 50% provides the profit) of 1500
1.5 x 1500 = 2250
What type of graph would you use to compare the prices of Felix's books and of Tyler's books? In two or more sentences, explain your choice.
bar graph
line graph
scatter plot
histogram
box-and-whisker plot
Answers
Answer:
I think its bar graph, bar graphs are suitable for comparing values for different things.. that's all I know sorry
Step-by-step explanation:
A bar graph would be the best option to compare the prices of Felix’s books and Tyler’s books. This is because Bar Graphs are more often used for comparisons of general things, which includes the comparing of product prices. It clearly shows the differences, unlike the other options listed.
B
20°
?
A
4.
С
( I need an answer )
Answers
Answer:
10.9899097
Step-by-step explanation:
Trigonometry.
Tan = opposite/adjacent
Adjacent = Opposite / Tan(20)
5.2182 rounded to the nearest thousandth
Answers
Answer:
5.218
Step-by-step explanation:
Since 2, ten thousandths place, is less than 5, the thousandths place stays the same.
It would be 5.218
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
john mark and shelia
Answers
Answer:
???
Step-by-step explanation:
??? I dont understand
The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2. A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds? s(t) = –4.9t2 + 39.2 s(t) = –4.9t2 + 39.2t s(t) = –4.9t2 + 39.2t + 39.2 s(t) = –4.9t2 + 39.2t – 39.2
Answers
Answer:
s(t) = -4.9t² + 39.2t
Step-by-step explanation:
Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²
Given
g = -4.9m/s²
v0 = 39.2m/s
s0 = 0m (the initial height)
On substituting into the formula;
s(t) = gt² + v0t + s0
s(t) = -4.9t² + 39.2t + 0
s(t) = -4.9t² + 39.2t
This gives the equation that models the height
Answer:
b
Step-by-step explanation:
edge 2020
Tell whether it is possible to draw a triangle with the given side lengths. 4 cm, 4 cm, 7 cm
Answers
Answer:
Given 3 sides are 4,4,7 cm. We know sum of 2 sides of triangle are greater than 3rd side. But given sides 4+4 doesn't equal 7. It's not possible to construct a triangle with the given lengths (4,4,7).
Step-by-step explanation:
U can only make a triangle with the same 3 length.
7th grade math help me pleaseeee
Answers
Answer:
The answer is D
Step-by-step explanation:
Answer:
22 ft
Step-by-step explanation:
We need to find the side of the square garden.
Area of square garden = 484 sq.feet
side² = 484
[tex]side = \sqrt{484}\\\\side = \sqrt{2*2*11*11} \\\\side = 2 * 11 = 22 feet[/tex]
Heyo, could you help me? Thank you
Answers
Answer:
Step-by-step explanation:
This is one of those questions that has no answer. The first one is not a triangle. 3 and 6 = 9. Two of the legs have to longer than the third. 9 is not greater than 10.
So there is no answer. However leave a note of there is a mistake in what you wrote and I'll come back.
The other two are right (the middle one) and the last one is acute.
What is the radius of a sphere with a volume of 996 cm 3 , 996 cm 3 , to the nearest tenth of a centimeter?
Answers
Answer: [tex]6.2\ cm[/tex]
Step-by-step explanation:
Given
The volume of the sphere is [tex]V=996\ cm^3[/tex]
Volume of sphere is given by [tex]V=\dfrac{4}{3}\pi r^3[/tex]
Insert the values
[tex]\Rightarrow 996=\dfrac{4}{3}\times \dfrac{22}{7}r^3\\\\\Rightarrow r^3=\dfrac{996\times 21}{88}\\\\\Rightarrow r=6.2\ cm[/tex]
Thus, the radius of the sphere is [tex]6.2\ cm[/tex]
En la tabla se muestra la cantidad de
personas que asisten a la cancha de un
colegio, así como el rango de edad de
las mismas
La moda corresponde a
intervalo frecuencia
0-3 12
4-10 8
11-17 14
18-24 5
25-31 10
32-38 4
39-45 9
46-52 3
a) 18,6
b) 27,15
c) 45,23
d)2171
Answers
Kayla's family receives great service during their meal at olive garden and want to give their server a 20% tip. If the meal cost 73.28, How much tip do they leave the server? Round to the nearest penny. Thanks.
Answers
Answer:
20%/100×73.28=14.65
Step-by-step explanation:
to answer this you have to find out what 20% of 73.28 is by dividing 20% by 100 then multiplying by 73.28
aasaaaaaaaaaaaaaaaaaaaa
Answers
Answer:
mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk
Step-by-step explanation:
dfjdbfjfshdgdsjhdh
Answer:
aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
hee haw i beat u i put more a's in my answer
Please help me ASAP!!
Answers
Answer:
I don't understand sorry
Mr. Williams asks to buy 1/2 of a pan of brownies that is 2/3 full what fraction of the original pan does he buy?
Answers
Answer:
Explanation :1/3
1/2 * 2/3 = 2/6= 1/3
1/3 fraction of the original pan he bought.
Help pls pls pls pls
Answers
Answer:
C
Step-by-step explanation:
Answer:
option c is correct
Step-by-step explanation:
y = 2x +5
5 = 2*0 +5
5 = 0 +5
5=5
y = 2x +5
9 = 2*2 + 5
=9 = 4 +5
9=9
y = 2x +5
13 = 2*4 +5
13 = 8 + 5
13 = 13
therefore option c is correct because it satisfies all the elements of x and y of the given function when we substitute the values.
Which statement illustrates the associative property of addition?
Select one:
a. (1+√3)² + √7= 1 + (√3+√7) ²
b.(-2+72) + 4i - 2 + (7i+ 42)
c. v 18 + 5/3 (√6 +5)
d. (51.21) + 111 – 111 + (51-21)
