The slope is -2. In context to this problem, the candle will burn away 2cm of its length every hour.
The slope of the equation, -2, means that the height of the candle reduces at a rate of 2 cm per hour.
Given the linear equation of the height of a candle that has been burning as: [tex]h = 28 - 2t[/tex].
This implies that:
28 in the equation represents the initial height of the candle = 28 cm.
-2 in the equation is slope, which is the rate of change at which the candle burns, meaning the height of the candle reduces by 2 cm every hour.
Therefore, the slope of the equation can be interpreted in the context of the problem as:
for every hour that passes, the height of the candle reduces by 2 cm.
Learn more about linear equation here:
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20.
Marlene made aprons to sell in her online store.
She paid $164.58 for supplies.
She charged $9.35 for each apron she sold.
Marlene sold 32 aprons. What was Marlene's profit in dollars
Enter your
Suppose Lisa places $6000 in an account that pays 18% interest compounded each year. Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years.
Step-by-step explanation:
The formula for compounded interest is given by
[tex]A = P\left(1 + \dfrac{r}{n}\right)^{nt}[/tex]
where
A = amount of money after a time t
P = principal or initial amount of money
r = interest rate in decimal form
n = number of times money bnb is compounded per unit time
t = unit time
a) For this problem, P = $6000, n = 1 since the money is compounded once a year, t = 1 year and r = 0.18 so after one year, Lisa's money amounts to
[tex]A = (\$6000)\left(1 + \dfrac{0.18}{1}\right)= \$7,080[/tex]
b) After two years, the money is still compounded yearly so n = 1 but t = 2 years so Lisa's money amounts to
[tex]A = (\$6000)\left(1 + \dfrac{0.18}{1}\right)^{2} = \$8354.40[/tex]
Step-by-step explanation:
a)
Principal = $6000
Rate = 18%
Time = 1 year
A = P(1 + r/100)¹
A = 6000(1 + 18/100)
A = 6000(100 + 18/100)
A = 6000 × 118/100
A = 60 × 118
A = 7080
b)
Principal = $6000
Rate = 18%
Time = 2 years
A = P(1 + r/100)²
A = 6000(1 + 18/100)²
A = 6000(100 + 18/100)²
A = 6000(118/100)²
A = 6000 × 118/100 × 118/100
A = 6 × 118 × 118/10
A = 8354.4
which numbers are solutions to the equation 30=x2? select all that apply
Answer:
one,tow,four
Step-by-step explanation:
what times tow equels thirty use that answer to help
A lion paced up and down the ridge 10 times. The ridge is 5 ft. 3 in. long. How far did the lion travel? (12 in.=1 ft.)
Answer:
105 ft.
Step-by-step explanation:
5 x 12 = 60
So 5 feet is 60 inches.
60 + 3 = 63
That makes the ridge 63 inches long.
When the lion went up the ridge, it traveled 63 inches.
When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.
The lion did this 10 times.
126 x 10 = 1260
Divide 1260 by 12 to find the measurement in feet.
1260 ÷ 12 = 105
Convert the expression 9 1/2 to a radical expression
Answer:
3
Step-by-step explanation:
9 1/2
(3^2) 1/2
3rd rule of multiplication
3^(2*1/2)
3^1 = 3
PLEASE HELP 70 POINTS
Answer:
-1 = -5
0 = -1
2 = 5
Step-by-step explanation:
In order to do this you need to follow these five (5) steps:
1) Know what each of the variables mean in an equation of a line. The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness of a line and the y-intercept is the point where the line intersects the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)
2) Identify the m (slope) and the b (y-intercept). The slope is 3, which can also be written as 3/1. The y-intercept is -1. (Remember that subtraction of 1 is the SAME thing as adding -1!) Since the y-intercept is a point it will be plotted at (0, -1).
3) Plot the y-intercept first. Start at the origin (intersection of the x- and y-axes) since the x coordinate is 0. Then move DOWN 1 unit since the y-coordinate is negative.
4) Use the m (slope) to plot at least three new points. The slope can also be represented as "rise/run" or the amount of units that you move UP or DOWN (vertically), then LEFT or RIGHT (horizontally). (Remember: if the numerator is positive (move UP); numerator is negative (move DOWN); denominator is POSITIVE (move RIGHT); denominator is NEGATIVE (move LEFT)). Since our slope is 3/1, and both the numerator and denominator are POSITIVE, that means we will be "rising" (moving UP) 3 units and "running" (moving RIGHT) 1 unit.
Start at the y-intercept of (0, -1) and move up 3 units and to the right 1 unit. You should be at (1, 2). Plot a point here. Then do it again. You should now be at (2, 5). Plot another point. Now, do it one more time. You should now be at (3, 8). Plot your last point. (If you wish to continue plotting additional points, feel free to do so.)
Answer:
Given line:
y = 3x - 1The table has x-values and asks to find f(x) for each x.
f(x) is same as y, plug in x- values to get f(x):
x = - 1 ⇒ f(-1) = 3(-1) - 1 = -3 - 1 = - 4x = 0 ⇒ f(0) = 3(0) - 1 = 0 - 1 = - 1x = 2 ⇒ f(2) = 3(2) - 1 = 6 - 1 = 5Help fast pls will do your question in exchange ( if you have it )
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE FAST SUPER QUICK I GOT NO TIME ITS BEEN 2 HOURS IMAGE BELOW
According to the National Sleep Foundation, teenagers need about 9 hours of sleep each night to function at their best. Unfortunately, many teens do not get nearly this amount. Two samples of 100 teenagers were asked about the average number of hours they sleep each school night. The results are recorded in the table below.
< 4 4 - 6 6 - 8 8 - 10 10 +
Sample #1 2 9 39 44 6
Sample #2 1 12 34 48 5
Based on the results of the survey, which of the following inferences are valid?
Adults need less sleep than teenagers.
About half of teenagers get less than 8 hours of sleep each school night.
At least 10% of teenagers have sleep-related issues, such as depression, insomnia, and drowsiness during the day.
Half of teenagers get the recommended 9 1/4 hours of sleep each school night.
More than 90% of teenagers get between 4 and 10 hours of sleep each school night.
Answer:
About half of teenagers get less than 8 hours of sleep each school night.
Answer:
About half of teenagers get less than 8 hours of sleep each school night.
Step-by-step explanation:
please help if you can!
Step-by-step explanation:
[tex]a - 3c = \left(-\dfrac{2}{3}\right) - 3\left(\dfrac{4}{5}\right)[/tex]
[tex]\:\:\:\:\:\:\:=-\dfrac{2}{3} - \dfrac{12}{5} = -\dfrac{46}{15}[/tex]
STUCK/ PLS HELP GIVING BRAINLIEST AND POINTS
the answer will be 50.9°
just do the inverse of the tangent function since you're given an opposite side and an adjacent side.
Answer:
50.9°
all explanation needed to solve the question is given in the page
which is better estimate for the volume of a tube of toothpaste 6 tablespoon 6 cups?
Answer:
6 tablespoons
Step-by-step explanation:
It's more logical because tubes of toothpaste do not require such a large amount of toothpaste. Look at your toothpaste tube. I'm sure that it is closer to 6 tablespoons rather than 6 cups.
Question 5 (5 points)
image
What's the range of this function graph?
Question 5 options:
A)
(–∞,2)
B)
[2,∞)
C)
(–2,∞)
D)
[–2,∞]
9514 1404 393
Answer:
B) [2,∞)
Step-by-step explanation:
The range is the vertical extent of the graph. Here, the minimum is 2, and it goes up from there. The range is ...
[2, ∞)
True or False: The correct answer to a numeric entry field will automatically be populated in the correct field after you open the explanations.
Although your question is vague a general answer within the concept of your of your question is provided. The correct answer to a numeric entry field will be automatically populated after the explanation is open ( i.e. True is the correct answer )
When you open up the explanations to a correct answer the entry field for the answer will automatically be populated with the correct answer, because by selecting/clicking on the explanation you will be granted access to the answer behind the explanation as well. also another way to access the correct answer is to simply select the entry field
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Given that f(x)=3x and g(x)=x²-4x-6 find (gof)(4) simplify answer
Answer:
[tex] (gof)(x) = g(f(x)) \\ = (3x)^{2} - 4(3x) - 6 \\ = 9 {x}^{2} - 12x - 6 \\ \\ (gof)(4) = g(f(4)) \\ = 9( {4}^{2} ) - 12(4) - 6 \\ = 9(16) - 48 - 6 \\ = 144 - 48 - 6 \\ = 90[/tex]
I hope I helped you^_^
Last month a factory produced 880 television sets. This month the the same factory produced 1210 television sets. The increase percentage in production from last month to this month is
Answer:
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Help thank you
Which ordered pair is a solution to the system of inequalities?
{y>−2x+y<4
(−3, 5)
(0, 4)
(−2, −3)
(1, 3)
Answer:
(1,3)
Step-by-step explanation:
3 > -2(1)+ 3 < 4
3 > -2 + 3 < 4
3 > 1 < 4
Help meeeeee T-T this is DUE today
I WILL GIVE BRAINLIEST
Answer:
To convert fahrenheit to celsius subtract 32 from the fahrenheit number and then multiply it by 5/9!!
1. a. about -17.78 degrees celsius
work: 0-32 = -32 times 5/9
-32*5 = -160
-160/9 = about -17.78
b. 0 degrees celsius
work: 32-32 = 0
0*5/9 = 0
c. about 21.11 degrees celsius
work: 70-32 = 38
38*5/9 = about 21.11
d. 37 degrees celsius
work: 98.6-32 = 66.6
66.6*5/9 = 37
e. about 37.78 degrees celsius
work: 100-32 = 68
68*5/9 = about 37.78
f. 100 degrees celsius
work: 212-32 = 180
180*5/9 = 100
celsius to fahrenheit is that number times 9/5, then + 32
2. (all of these answers are in degrees FAHRENheit. Make sure to write that!)
a. 32
work: 0*9/5 = 0 and 0+32 = 32
b. 89.6
work: 32*9/5 = 57.6.
57.6+32 = 89.6
c. 158
work: 70*9/5 = 126. 126+32 is 158
d. 209.48
work: 98.6*9/5 = 177.48. 177.48+ 32= 209.48
e. 212
work: 100*9/5 = 180. 180 + 32 = 212
f. 413.6
212*9/5 = 381.6. 381.6+32 = 413.6
Step-by-step explanation:
Hope i was in time.
Find the mean absolute deviation (mad) for this data. (remember to show your 4 steps) 88, 72, 85, 76
Answer:
Step-by-step explanation:
mean=(88+72+85+76)/4=321/4=80.25
x |x-mean|
88 7.75 (88-80.25)
72 8.25 (80.25-72)
85 4.75 (85-80.25)
76 4.25 (80.25-76)
--------
25.00
______
mean absolute deviation=25/4=6.25
Choose the function whose graph is given by:
у
AAAAA
ht
O A. y= cos(2x)
O B. y= cos()
O c. y = cos(4x)
O D. y= cos(54)
SUBMIT
Please help
Answer:
D cos (1/2 x )
Step-by-step explanation:
y = cos (x/2)
because from the graph x = 2pie
= cos pie = -1
The function whose graph is given by; cos (1/2 x )
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, the function must be having increasingly output for inputs greater than that value of x.
If the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The function that we are given graphed has the point (0,1), this means whichever function f(x) it represents f(0) = 1.
Now, only the cosine function has the property that cos(π) = -1, thus
y = cos (x/2)
because from the graph x = 2π
The function whose graph is given by; cos (1/2 x )
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Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40.
After one month, Paul bought 19 passes and spent a total of $31.60.
How much did he spend on the student discount card?
Paul spent $________
on the student discount card.
Answer:
$5
Step-by-step explanation:
First, we need to find the total amount he spent on the passes.
We just need to multiply the number of passes by the price of each pass.
19 x 1.4 = 26.6
This means he spent $26.6 on the passes.
Now, we can find out how much he spent on the discount card.
Just subtract his total spending amount by the amount he spent on passes.
31.6 - 26.6 = 5
He spent $5 on the discount card.
-5 plus triple a number is no more than sixteen
Answer:
-5 + 3n < 16
Step-by-step explanation:
Answer:
-5+3x<16
Step-by-step explanation:
True or false?
Two samples are selected from a population, and a treatment is administered to the samples. If both samples have the same mean and the same variance, you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.
True, two samples are selected from a population, and a treatment is administered to the samples. If both samples have the same mean and the same variance, you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
Two samples are selected from a population, and a treatment is administered to the samples.
If both samples have the same mean and the same variance.
That means, they have the same t statistic.
A t-test compares the average values of two data sets and determines if they came from the same population.
You are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.
Because the value of t-test are same.
Therefore, the statement is true.
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HELP WITH THIS PLZ!!
Answer:
G
Step-by-step explanation:
A & E connect, so just find the point that connects and makes the same directional line with C, which is G.
Grayson placed an order for 1/2 of a sack of brown lentils and 1/12 of a sack of green lentils. How much more brown lentils did Grayson order? Write your answer as a fraction or as a whole or mixed number.
What is the equation of the line
Answer:
y=-6/7x-3
Step-by-step explanation:
On a graph, I plotted (7,-9) and the used the slope given but it was very off. On the slope -6/7x one of the plots is (7,-6). From the two lines, just go down 3 times and you would reach your plot again. What I mean is, do -6- 3=-9 so the answer is '- 6/7x-3. I used demos graphing calculator & calculator to make sure that my answer was 100% correct. You can use it too if you don't wan to use graph paper.
Hope this helps and comment or send a private message if you need help.
Nick makes $120,000 a year selling stocks. If he loses 33% to taxes, what does he make EACH
WEEK? *
a.$3960
b.$80,400
c.$761.50
d.$1546.15
Answer:
I think it would be 80,400
Picture provided above please help if can !
Answer:
10.1
Step-by-step explanation:
I just put in a calculator and got the answer.
Steve bought two plain pages in 1/4 of a pepperoni pizza and I'll how much pizza did he buy
Answer:
he buys 2 pizzas
Step-by-step explanation:
hope it helps you
please mark me brainliest
Find the measures of x and y
Step-by-step explanation:
x+45=180 [v.o.a]
x=180-45
.°.x=95
y+90=180°[v.o.a]
y=180-90
.°.y=90
Help me ASAP giving all good reviews
Answer:
34 people. (extremely sorry if this is wrong! please tell me if it is.)
Step-by-step explanation:
197 people were in the survey. First we can subtract 57 from 197 because 57 people dont like cats or dogs.
197-57 = 140
and to find the number of people that chose cats but not dogs, we subtract 106 from 140 which leaves us with 34 people.
