On a snowy winter's eve, two candles are lit at the exact same time. A 18-inch candle and a 21-inch
candle are lit at the exact same time. The 18-inch candle burns 2 inches every hour. The 21-inch
candle burns 3 inches every hour.
What is the percent decrease from 20 to 11?
Answer:
The decrease from 20 to 11 is 9, and that is 45% of 20.
Hope this helps!
Similar polygons
10 points!!
Answer:
7
Step-by-step explanation:
if the stick is 7.5 divide that by 3 and you get 2.5 so divide 17.5 by 2.5 and you get 7 .
Last summer, Marrero was at Newgrange, a stone mound in Ireland that has a diameter of 250 feet. He found a walkway 62 feet long that leads to the center of the mound. Help Marrero find perpendicular distance x from the end of the walkway to either side of the mound.
Answer:
108 ftStep-by-step explanation:
The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.
Horizontal leg is the distance x.
Vertical leg has the length:
(250)/2 - 62 = 63 ftUsing Pythagorean theorem to find the length of x:
x² = (250/2)² - 63²x² = 125² - 63²x² = 11656x = √11656x = 107.96 ≈ 108What is the image point of (2, 4) after a translation left 4 units and
down 1 unit?
HELP NEED THIS FOR A TEST!!! 20 POINTS!!
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.
Answer:
a.
capacity of car = 14 gallons
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons
fuel remaining in car = 14 - 8.4 = 5.6 gallons
so they can drive the car without warning.
b.
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 25 days = 25 x 0.6 = 15 gallons
fuel remaining in car = 14 - 15 = -1 gallons
so they can't drive the car without warning.
c.
the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.
d.
14 - 0.6t = 1.5
or - 0.6t = 1.5 - 14 = - 12.5
or t = -12.5 / - 0.6
or t = 20.8333 days
so he can drive 20 days without warning. E.
14 - 0.6t < 1.5
or t < 20.8333
here t represents number of days car can drive without warning light.
Step-by-step explanation:
The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Write all the factors of 26
Use commas to separate them.
1,2,13,26
Theses are the factors of 26
26
------------
1 | 26
2 | 13
1,2,13,26
---
hope it helps
Write the equation in slope-intercept form: 2x + y =3
y= 2x + 3
y= -2x -2
y= -2x + 3
y= 2x-3
If the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y-intercept of the regression line to three decimal places. y 2 21 3 69 4 261 5 1029 6 4101
Answer:
log y = 0.576x + 0.139Step-by-step explanation:
Given data:
x | 2 | 3 | 4 | 5 | 6 y | 21 | 69 | 261 | 1029 | 4101Logarithms of y-values:
log 21 = 1.322log 69 = 1.839log 261 = 2.417log 1029 = 3.012log 4101 = 3.613The ordered pairs:
(2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)Using an online calculator found the equation of the regression line:
y = 0.576x + 0.139In our case it is:
log y = 0.576x + 0.139Liz received a gift of 9 songs for her birthday. She buys an additional 3 songs each month.
Answer:
9+3
= 12
Step-by-step explanation:
9 +3 +
10
11
12
Answer:
45 songs in one year (12months)
Step-by-step explanation:
in one year she will have the following
12 x 3 = 36
+ 9 given
36+9 = 45 songs in one year
if it was decreasing to 11 months or 10 months etc
Then we use this formula
Birthday + (Amount monthly x No of month)
9 + (3 x 11) = 42 in 11 months
or 9 + (3 x 10) = 39 in 10 months
factorise p² + pq - p³ - q² completely
Answer:
The expression is not factorable with rational numbers.
p ^2 + p q − p ^3 − q ^2
Step-by-step explanation:
Can someone help me please.in school.
can you send a closer pic?
Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.
9514 1404 393
Answer:
ΔABC ~ ΔPQRPQ = 8PR = 14Step-by-step explanation:
Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...
ΔABC ~ ΔPQR by AA similarity
__
The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.
PQ = 2·AB = 2·4 = 8
PR = 2·AC = 2·7 = 14
The side lengths of interest are ...
PQ = 8, PR = 14
Jessica has 1,386 books. She must pack them into boxes to ship to a bookstore. Each box holds 10 books. How many boxes will she need to pack all of the books?
Which of these is a function please answer.
Answer:
1 and 3
Step-by-step explanation:
Answer:
Options 1 and 4Step-by-step explanation:
Option 1
x-values are different and y-values are sameThis is a functionOption 2
x-values are repeated (3) with different y-valuesThis is not a functionOption 3
x-values are repeated and y-values are differentThis is not a functionOption 4
x- values are different, y-values are differentThis is a functionWhich is the equation of a line with a slope of -1 and a y-intercept of -6?
A y = -6x - 1
B y = -x - 6
C y = x - 5
D y = x + 6
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1 and c = - 6 , then
y = - x - 6 → B
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
What is the rate of growth Michael expects each week after launching the website?
A. 104.5%
B. 95.5%
C. 4.5%
D. 0.045%
Answer:
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 below to estimate the number of user, y, who will have signed up x weeks after he officially launches the website.
y = 82(1.045)x
What is the rate of growth Michael expects each week after launching the website?
The answer will be %0.045
Step-by-step explanation:
The rate of growth Michael expects each week after launching the website is 4.5%.
Given that,
The function is y = 82 (1.045)x.We need to find the rate of growth.Based on the above information, the calculation is as follows:
Since 1.045 is given so this means 4.5% is the growth rate.
Therefore we can conclude that the rate of growth Michael expects each week after launching the website is 4.5%.
Learn more: brainly.com/question/16115373
Write an equation of the line that passes through the given point and has the given slope.
(4, 3); slope 1/2
Answer:
y = 1/2x + 1
Step-by-step explanation:
m = 1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1
. Find f(3) for the following function
[tex]f(x)=3(2)^x+6[/tex]
a.f(3) = 222
b.f(3) = 9
c.f(3) = 24
d.f(3) = 30
Answer:
[tex]\boxed {\boxed {\sf D. \ f(3)= 30}}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)= 3(2)^x+6[/tex]
We want to find f(3), so we must substitute 3 in for x.
[tex]f(3)= 3(2)^3+6[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve the exponent first.
2³= 2*2*2= 4*2= 8[tex]f(3)= 3(8)+6[/tex]
Multiply 8 and 3.
[tex]f(3)= 24+6[/tex]
Add.
[tex]f(3)=30[/tex]
For the function given, f(3) is 30.
To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?
A. 10mm/1cm = x/140mm
B. 1cm/10mm = 12.5cm/x
C. 10mm/1cm = 140mm/x
D. 12.5mm/1cm = 140mm/x
round off to the nearest hour 10 :54
Answer:
11
Step-by-step explanation:
the closest whole number on the hour is 11
4s - 3
9r - 17
3r + 13
7s
Solve for s
Step-by-step explanation:
step 1. the diagram is very unclear and should be redone
step 2. I'll assume 9r - 17 and 3r + 13 are vertical angles and are equal
step 3. 9r - 17 = 3r + 13
step 4. 6r = 30 or r = 5
step 5. I'll assume 4s - 3 and 7s - 24 are alternate interior angles and are equal
step 6. 4s - 3 = 7s - 24
step 7. 3s = 21 or s = 7.
Find a solution to the equation 4(x + 7) = 38
Answer:
4(x+7)=38
4x+28=38
4x=38-28
4x=10
(divide by 4)
x=2whole number 2/4
=2whole number 1/2
or x=2.5
try to zoom in the picture if you can’t see the numbers , but can someone please help me with this ?
Step-by-step explanation:
This is my answer, if you need it
Which table represents the function?
PLEASE HELP ASAP
find JL
Answer:
7
Step-by-step explanation:
A car travelling at a constant speed travels 90km in 50 min .How far travelling at the same constant speed will the car travel in 2 hours and 25 minutes?
Answer:
261 km
Step-by-step explanation:
given,s=constant
d1/T1=d2/T2
d1=90km,t1=50 min
d2=? ,t2=(120+25)min
=145min
therefore,d2=(90×145)/50
=261 km
Garth is building a square shaped frame for a mirror. The area of the mirror is 144 square inches. How long is each side of the frame, in inches?
Answer: 12 inches
Step-by-step explanation:
This is a square shaped mirror which means that it takes the shape of a square.
All sides on a square are equal and because the way the find the area of a square is to multiple the Length by the Width, you would be squaring the same number to find the area.
Length of each side = √area
= √144
= 12 inches
Write the fraction as a decimal.
Round to the nearest hundredth.
7/18~ [?]
Answer:
0.39
Step-by-step explanation:
7/18= 3.888888888
round up
0.39
find the inverse of y=100-x^2
Answer:
The inverse is ±sqrt(100-x)
Step-by-step explanation:
To find the inverse, exchange x and y
x = 100 -y^2
Solve for y
Subtract 100 from each side
x - 100 = -y^2
Divide by -1
-x +100 = y^2
Take the square root of each side
±sqrt(100-x) = sqrt(y^2)
±sqrt(100-x) =y
The inverse is ±sqrt(100-x)