9514 1404 393
Answer:
3
Step-by-step explanation:
The ratio is ...
f(x+1)/f(x) = (10·3^(x+1))/(10·3^x) = 3^(x+1-x) = 3^1 = 3
The common ratio is 3.
_____
As you may have noticed, it is the base of the exponential term.
Joy and Joey share a 18-ounce bucket of clay. By the end of the week, Joy has used
1
6
of the bucket, and Joey has used
2
3
of the bucket of clay. How many ounces are left in the bucket?
please help!
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.
y = 82(1.045)x
part A: What is the rate of growth Michael expects each week after launching the website?
A.
104.5%
B.
95.5%
C.
0.045%
D.
4.5%
Answer:
D. 4.5%
Step-by-step explanation:
Michael expects the rate of growth to be 4.5% each week because in the equation inside the parenthesis is 1.045 meaning it has already had 1 added to the original percentage so subtract 1 from 1.045 then move the decimal twice to the right and change it into a percentage sight which will give you 4.5%
the growth rate per week is 4.5% Micheal can expect.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
The given equation is,
y = 82(1.045)x,
Where y represents number of people and x represent number of week.
After 1 week, x=1
y=82×1.045
The multiplying factor is 1.045
It implies that after 1 week growth increase by, 0.045
The percentage value of 0.045 is 4.5%
So the growth rate per week is 4.5%.
To know more about Rate on:
https://brainly.com/question/23634231
#SPJ3
What is the measure of ∠D to the nearest degree?
Answer:
Option A. 47°
Step-by-step explanation:
In the given triangle as per sine rule
sin F/DE = sin D/54
sin 71/70 = sin D/54
sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729
Therefore Option A. angle D = 47° is the answer.
What's the area of the circle r=1.2 yd plss help
Answer: 1.44pi
Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)
2/3 divided by 3/6 is : help asap
the answer is 4/3 OR 1 1/3 :)
help me please help me please
Sandra uses 2/25 kilogram of cocoa powder in each serving of her famous cocoa drink. She has 1 1/10 kilograms of cocoa powder. How many servings can Sandra make?
Answer:
13 servings
Step-by-step explanation:
(11/10) / (2/25)
= 13.75
She can make 13 servings [not enough to make up to 14 servings]
The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?
*see attachment for diagram
Answer:
x = 20.5 in.
Step-by-step explanation:
What we are requested to find is the height of the panel/parallelogram = x
Area of each panel = base × height = 287 in.²
Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.
Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3
= (50.5 - 2*4.25) ÷ 3
= 42 ÷ 3
Base length of each panel = 14 in.
✔️Next is to find the height of the panel, x.
area of parallelogram = base × height
Base = 14 in.
height = x
Area = 287 in.²
Plug in the values
287 = 14 × x
287 = 14x
Divide both sides by 14
287/14 = x
20.5 = x
x = 20.5 in.
Which of the following is another way of expressing 4 out of 5
Answer:
4/5
Step-by-step explanation:
I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
Answer:
x = 31.11
Step-by-step explanation:
Let us assume the third person receives be x
Now the second person receives be 2x
And, the second be 3(2x) = 6x
The total is 280
Now the equation is
x + 2x + 6x = 280
9x = 280
x = 31.11
50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported
Answer:
(1, 4)Step-by-step explanation:
The circumcenter is the intersection of the perpendicular bisectors.
Find the two equations for the perpendicular bisectors and solve the system for intersection point.
Given the vertices A(-4,6), B(6,6), C(6,2)
Find the slope and midpoint of AB and BC
m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segmentM(AB) is
x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:
x = 1m(BC) is undefined as x-coordinates are same, so the segment is vertical
M(BC) is
x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:
y = 4The intersection of the lines x = 1 and y = 4 is the point (1, 4)
The circumcenter is point (1, 4)
Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%
Answer:
i. 818.18
ii. 940.9
Step-by-step explanation:
SP = 900
or, CP + 10% of CP = 900
or, CP + 10/100 × CP = 900
or, 110CP = 90000
or, CP = 90000/110
CP = 818.18
for profit= 15%
SP = 9000/11 + 15% of 9000/11
= 940.9
1. At best buy they have a 50" TV that sells for $1450 and is on sale for 20% and sales tax is
7.5%. What is the final cost?
What is arc BDE?
Links=reported
Plz helppp!!
Answer:
around 228 degrees
Step-by-step explanation:
Answer: 143
Step-by-step explanation:
What does the equation 3 + m = 8 mean?
A
Three plus eight equals m.
B
Three plus m equals eight.
С
m plus eight equals three.
D
Eight equals three m.
Answer:
The answer is B
- have a good day
Lana has completed 65% of her math homework. Which fraction is equivalent to 65%?
A. 13/20
B. 65/1
C. 7/20
D. 13/2,000
Answer:
A) [tex]\frac{13}{20}[/tex]
Step-by-step explanation:
[tex]\frac{13}{20} = 065 = 65%[/tex]%
[tex]\frac{65}{1} = 65 = 100%[/tex]%
[tex]\frac{7}{20} = 035 = 35[/tex]%
[tex]\frac{13}{2,000} = 0.0065 = 0.0065[/tex]%
Which one should I choose?
Given:
A figure of a quadrilateral.
To find:
The measures of angle 1 and angle 2.
Solution:
The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.
We know that the diagonals of a kit are perpendicular to each other at the point of intersection.
[tex]m\angle 1=90^\circ[/tex]
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
[tex]90^\circ+65^\circ+m\angle 2=180^\circ[/tex]
[tex]155^\circ+m\angle 2=180^\circ[/tex]
[tex]m\angle 2=180^\circ-155^\circ[/tex]
[tex]m\angle 2=25^\circ[/tex]
Therefore, the correct option is C.
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
2x + 3 = 23 steps for x?
Answer:
x=10
Step-by-step explanation:
work in the photo
Answer:
x=10
Step-by-step explanation:
Subtract 3 from both sides
2x=23-3
Simplify 23-3 to 20
2x=20
Divide both sides by 2
x= 2 0/2
Simplify 20/2 to 10
x=10
The graph shows a line and two similar triangles.
What is the equation of the line?
A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x
Answer:
a y=3/2× Pls help me do me one
a
the roof of the clock tower is a square pyramid each side of the base is 16 ft the slant height is 22 ft what is lateral area of the roof
Answer:
Need more points lang sorry
The dot plot shows the number of pretzels that were in each snack bag made for a party.
Number of Pretzels
How many snack bags were made for the party? Enter your answer in the box.
i still haven't finished this and it's due today. i really would appreciate some help .
A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)
Answer:
(5,3)
Step-by-step explanation:
I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.
Next I plotted the point (1,3).
Then I counted the spaces between point 1,3 and 3,1 as shown in the picture
Finally I graphed the point and connected the lines to make sure it looked like a parabola.
Find the value of x.
Answer:
x = 13
Step-by-step explanation:
3x + 5 = 44
3x = 39
x = 13
Josie watches a play at the theatre.
The play ends at 9:55 pm.
It takes Josie 15 minutes to get from her seat in the theatre to the bus stop.
Buses to Josie's home leave the bus top at the following times
18:25
19:25
20:25
21:05
21:25
22:05
22:25
a)
Write down the time of the earliest bus that Josie can catch.
b) How long will Josie have to wait at the bus stop for, if she catches the
earliest possible bus?
Answer:
22:25
She will wait for 15 min
Step-by-step explanation:
9:55 is 21:55 in 24h time
after 15 min it will be 22:10
the closest time will be 22:25
25-10 is 15
15 min waiting
find the value of x?
Answer:
30
Step-by-step explanation:
The sum of the angles of a triangle is 180
x+34 +116 = 180
Combine like terms
x+150 = 180
Subtract 150 from each side
x+150-150 = 180-150
x = 30
using the angle sum property of triangle.
According to this, sum of all angles of a triangle is equal to 180°
x° + 116° + 34° = 180°
x° + 150° = 180°
x° = 180° - 150°
x° = 30°
Circumference = ×What is another way to write this?
Answer:
2 × pi × radius
..................
please help!!! will mark brainliest
Answer:
2nd one I believe
Step-by-step explanation:
Jack purchases 4 pounds of colby jack cheese if the price is $ 5.98 per pound how much did jack pay
Answer:
$28.92
Step-by-step explanation:
4 x 5.98
Answer:
23.92
Step-by-step explanation:
5.98 (4) = 23.92