Answer:
12x+18
hope this helps
have a good day :)
Step-by-step explanation:
A 15-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours since the candle was lit, and uppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit.
a. Write a function formula for f f(t)- [Preview] syntax error #
b. What is the domain of f relative to this contex? Enter your answer as an interval. # Preview, no answer given
c. What is the range of f relative to this context? Enter your answer as an interval *Preview no answer given
d. Solve f(t) 3.6 for it. 算 Preview
e. What does your solution in part (d) represent in this context? Select all that apply. The length of the candle (in inches) 3.6 hours after it was lit. How many bhous since the candle was lir wen i is36 mches loe OHow long it takes for the candle to burn out.
Answer:
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 \le t \le 12.5[/tex]
[tex]15 \ge f(t)t \ge 0[/tex]
The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches
Step-by-step explanation:
Given
[tex]a = 15[/tex] ---- candle length
[tex]r =- 1.2[/tex] --- rate (it is negative because the candle length reduces)
Solving (a): The function, f(t)
This is calculated as:
[tex]f(t) = a + rt[/tex]
So, we have:
[tex]f(t) = 15 + -1.2 * t[/tex]
[tex]f(t) = 15 -1.2t[/tex]
Solving (b): The domain
The domain, in this case, represents time from 0 till the candle burns out.
Set [tex]f(t) = 0[/tex] to calculate the time the candle burns out
[tex]f(t) = 15 -1.2t[/tex]
[tex]0 = 15 - 1.2t[/tex]
Collect like terms.
[tex]1.2t = 15[/tex]
Solve for t
[tex]t = 15/1,2[/tex]
[tex]t = 12.5[/tex]
Hence, the domain is: [tex]0 \le t \le 12.5[/tex]
Solving (c): The range
The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)
Hence, the range is: [tex]15 \ge f(t)t \ge 0[/tex]
Solving (d): [tex]f(t) = 3.6[/tex]
Recall that:[tex]f(t) = 15 -1.2t[/tex]
Sp, we have
[tex]15 - 1.2t - 3.6[/tex]
Collect like terms
[tex]12t =15 -3.6[/tex]
[tex]12t =11.4[/tex]
Divide by 12
[tex]t =0.95[/tex]
4(12+3) distributive property
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{= 4(12) + 4(3)}[/tex]
[tex]\large\textsf{4(12) = \bf 48}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{= 48 + 12}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\large\text{OR} \downarrow[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{12 + 3 = \bf 15}[/tex]
[tex]\large\textsf{= 4(15)}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{OVERALL \underline{ANSWER}: \huge \bf 60}}}\huge\checkmark[/tex]
[tex]\huge\checkmark\boxed{\boxed{\large\textsf{Or you can say: \huge \bf 48 + 12}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]4(12 + 3) \\ = 4 \times 12 + 4 \times 3 \\ = 48 + 12 \\ = 60[/tex]
=> Property used = distributive property.
Please hurry I’ll give brainliest
Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13? b. Is the sum of the digits odd or even? c. Is the value a prime number?
tipler stock dropped $5 monday, rosary $3 Tuesday, and rose $7 Wednesday. what was the net change in price of the stock
Answer:
drooped $1
Step-by-step explanation:
first,dropped $5=(-$5)
second,rosary $3=(-$3)
third,rose $7=(+$7)
solution:
(-$5)+(-$3)+(+$7)
=-$5-$3+$7
=-$8+$7
=-$1
the net change in price of the stock was drooped $1 .
The required net change in the price of the stock is -$1.
Given that,
Tipler stock dropped $5 Monday, rosary $3 Tuesday, and rose $7 Wednesday. To determine the net change in the price of the stock
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
On Monday price dropped by $5 = -$5
On Tuesday price dropped by -$3 = -$3
On Wednesday price rose by $7 = +$7
Net = -5 -3 +7
Net = -$1
Thus, the required net change in the price of the stock is -$1.
Learn more about arithmetic here:
brainly.com/question/14753192
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simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls out one coin at a time, what is the probability that the first 3 coins that are equal to $0.40?
Answer:
1/4
Step-by-step explanation:
Q=event of pulling a quarter (25 cents)
D=event of pulling a dime (10 cents)
N=event of pulling a nickel (5 cents)
P=event of pulling a penny (1 cent)
Simon needs to pull out the penny last, so that the first three coins add up to $0.40.
We assume the coins are wrapped so it is a random choice.
For the first coin, probability of NOT pulling a penny is 3/4,
similarly, for the second coin, probability of NOT pulling a penny is 2/3,
for the third coin, probability of NOT pulling a penny is 1/2,
For all this to happen, we use the multiplication rule
P(3 coins but no penny) = (3/4*2/3*1/2) = 1/4
Leon tried to solve an equation step by step.
Step-by-step explanation:
in step 2 leon made mistake
OPTION B step 2
[tex] \frac{1}{2} w = 30[/tex]
[tex]w = 30 \times 2[/tex]
[tex]w = 60[/tex]
0.088 is more than 0.78, right?
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
[tex]0.088 < 0.78[/tex]
»»————- ★ ————-««
Here’s why:
0.088 can be described as "eighty-eight thousandths". 0.78 can be described as "seventy-eight hundredths."Thousandths has a lesser value than hundredths. 0.088 is less than 0.78, not greater than.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
» Choose ALL the lines of symmetry for the shape.
Answer:
the first one , one below it and the one beside the one below it
Step-by-step explanation:
Answer:
sorry I don't Know
4x2-36x+80=0
Soma e Produto
Solve the inequality:
4 +5t < 19
Answer:
t < 3 is the answer
Step-by-step explanation:
source: https://www.tiger-algebra.com/drill/4_5t%3C19/
^ (it has an explanation too)
What is the mode for the set of data shown below?
14, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
A. 14
B. 28
C. 95
D. 32
Answer:
28
Step-by-step explanation:
4, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
Mode is the number that appears most often
4, 28, 28, 32, 33,35, 38, 42, 49,53,69, 75, 81, 90, 95, 97
28 appears twice
is y= 2^x + 3x - 4 a quadratic function
Answer:
No
Step-by-step explanation:
Due to the absence of the squared coefficient, we can automatically strike this as not a quadratic.
And, judging by the terms of the function, this is a trinomial.
Answer this pls. its all about the pythagorean theorem thanks
Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
how do u find the percent of 36 and 40? Thanks!
Brainliest to who gets it right no links
A. t(x)=450-0.06x
hope this helps
Disolvemos 45 g de amoniaco en 500 g de
agua. Calcula el porcentaje en masa de la
disolución
it would be photosynthesis because of the flowers
In the triangle below, which of the following is equivalent to the tangent of
62°?
Answer:
tan62= 7/25
Step-by-step explanation:
tan = opposite/adjacent
Option A is the correct answer.
We need to find, from the given option which is equivalent to the tangent of 62°.
What is the ratio of trigonometric function tangent?The ratio of trigonometric function tangent is tanθ=Opposit/Adjacent.
Now, tan62°=24/7.
Therefore, option A is the correct answer.
To learn more about trigonometric ratios visit:
https://brainly.com/question/13724581.
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The expression 0.75(1.06p) represents the total amount Jaxon paid for a jacket
originally priced p dollars. Which changes to the original price could have resulted in
this expression?
Answer:
0.75 could be a 25% discount. 1.06 could be a sales tax.
Step-by-step explanation:
If p is the original price, then 1.06p could be the amount after a 6% tax is include. Then multiplying by 0.75 could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).
In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.
0.75(1.06p) = 1.06(0.75p)
Can someone please help, ty!!
Will mark brainliest!
The sum of the interior angles of a triangle is 180 degrees. Therefore, if we add up all of these angles, they will equal 180.
82 + 55 + x = 180
137 + x = 180
x = 43 degrees
Hope this helps!! :)
Answer:
Step-by-step explanation:
55+82+missing angle=180 degree(sum of interior angle of atriangle is 180 degree)
137+missing angle=180
missing angle=180-137
missing angle=43 degree
therefore ur answer is 43 degree.
True or false: Is 8.4 equal to 8 hours and 40min? Moreover, What would be the hour and min for 8.9?
Answer:
false and 8 hours and 55 min
Step-by-step explanation:
Answer:
false. 8.9 in the scenario would be 9 hours and 30 minutes
Step-by-step explanation:
using decimals is not an accurate way to measure time.
if it was used, 8.9 would be 8 hours and 90 minutes. However, there are only 60 minutes in an hour, so 8.9 would translate to 9 hours and 30 minutes.
solve the following equations 2p + 3p + 8 - 4 = 54
A regular polygon first maps directly onto itself after rotating 120 degrees. How many sides does the polygon have?
1
2
3
4
The answer is ,The polygon has 3 sides
Find the measure of angle 6 if the measure of angle 4 is 65 degrees
Answer:
Step-by-step explanation:
angle 4=angle 6(being alternate interior angle)
65 degree=angle 6
Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is _____.
Answer:
The probability that x equals 19.62 is 0
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0
Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player have?
Answer:
R= 1203 P= 1478
Step-by-step explanation:
2681- 275= 2406/2 = 1203+ 275= 1478
Simplify the expression:
w+3w
Answer:
4w
Step-by-step explanation:
1w+3w=4w
Answer:
w+ 3w = 4 w. helpful answer
The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the rectangle.
Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
Expand:
2W² +W= 28
-28 on both sides:
2W² +W -28= 0
Factorise:
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
PLEASE HELPPP
Which one is equivalent??
Answer:
the answer is A AND WE LOVE BILLIE
Step-by-step explanation:
A rectangle’s length is two feet less than three times it’s width. If it’s width is 7 feet, then which of the following is its area?
1. 19 square feet
2. 57 square feet
3. 114 square feet
4. 133 square feet