Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t) models the weight of sheep (in kg) that Harry would like to swallow t hours after he wakes up. Here, t is entered in radians. H(t)=12sin(2pi/24t) + 15 What is the second time after Harry wakes up that he feels like consuming 17kg of sheep?
The second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours
How to determine the time?The function is given as:
H(t) = 12sin(2π/24t) + 15
When the weight is 17kg.
It means that:
H(t) = 17
So, we have:
H(t) = 12sin(2π/24t) + 15 and H(t) = 17
Next, we solve for t using a graphing calculator
From the graph of h(t), we have:
t = 0.64, 11.36, 24.64...... when h(t) = 17
The second time in the above list is
t = 11.36
Hence, the second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours
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Find the measure of the indicated angle.
Answer:
X=4
Step-by-step explanation:
30x+5=31x+1
x=4
Add the following values.
(2.1 × 1016) + (3.2 × 1015)
Answer:
5381.6
Step-by-step explanation:
[tex](2.1 × 1016) + (3.2 × 1015)[/tex]
[tex] = 5381.6[/tex]
Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?
Answer: $32.39
Step-by-step explanation:
The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:
= 1/5 * 15
= 3 gallons
If Ayssa is going to fill up the tank, the number of gallons needed is:
= 15 - 3
= 12 gallons
Gas is $2.699 per gallon so cost is:
= 12 * 2.699
= $32.39
Drag each amount to the correct location on the expression
Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900 for 7 days.
Complete the expression to find Joana's average daily balance.
750
1,000
900
30
850
90
) + 10(
) + 71
)
) + 4
( )
Answer:
Average daily balance ≈ $873
Step-by-step explanation:
We are told the balance were;
$1,000 for 9 days
$750 for 10 days
$850 for 4 days
$900 for 7 days
Thus;
Average = ΣFx/Σx
Where ΣFx = (1000 × 9) + (750 × 10) + (850 × 4) + (900 × 7)
ΣFx = $26,200
Σx = 9 + 10 + 4 + 7
Σx = 30
Thus;
Average daily balance = 26200/30
Average daily balance ≈ $873
Answer:
9(1,000) + 10(750) +4(850) + 7(900)
(30)
Step-by-step explanation:
help me brainlist !!!!!
Answer:
Every number will have a 0 or 5 in its ones place
Step-by-step explanation:
Answer:
D. Every number in the pattern will have a 0 or 5 in the ones place
Step-by-step explanation:
the next to numbers are 50,25 so all numbers have 0 in the ones place except for 25 which has a 5.
I need the correct answer please and thank you.
Answer:
1,156 I think that’s right
Step-by-step explanation:
Eddie built the ramp shown to train his puppy to do tricks. What is the surface area of the ramp. The dimensions are 20,20,20,23,25,25,15
Answer:
3775 in²
Step-by-step explanation:
The surface area of the ramp :
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 25 * 23 = 575 in²
Bottom rectangle = 60 * 23 = 1380 in²
For the trapezium: (front and rear)
1/2 (base 1 + base 2) * height
Base total = 20+ 20+ 20= 60
1/2(60)*15 = 450 in²
Total surface Area :
(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²
Maddy takes the bus to school from her house. She rides the bus 12 kilometers east
then turns north and goes 5 more kilometers. If she'd go the shortest distance, how
many kilometers would she save?
(Hint: Draw it out)
Answer:
She would save 4 kilometers
Step-by-step explanation:
Use pythagorean theorem
12² + 5² = 169
[tex] \sqrt{169} = 13[/tex]
17-13 = 4
Felicia pours 34 of a 212-liter bottle of chlorine solution into a swimming pool. Then, she measures out 38 liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
Answer:
140 liters
Step-by-step explanation:
Felicia pours 34 out of 212 liters of chlorine solution into a swimming pool
= 212-34
= 178 liters
He uses 38 liters out of the remaining solution to clean the pool filter
178-38
= 140
Hence what is left is 140 liters
In circle with m angle NPQ=34 and NP = 14 units , find the length of arc NQ . Round to the nearest hundredth .
Answer:
8.3units
Step-by-step explanation:
formula 2πr × x/360
where x= angle of sector
therefore
2× 22/7 × 14 × 34/360 = 8.3
Given that A = (9,9,2), B = (1,3,5) and C = (5,6,4), find the vector equation of the line through A and B
Answer:
Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)
Step-by-step explanation:
Vector equation of a line passing through two points A & B is : r = a + λ(b - a)
Given A = (9,9,2) ; B = (1,3,5)
Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]
= 9i + 9j + 2k + λ ( -8i + -6j + 3k)
= 9i + 9j + 2k - λ ( 8i + 6j - 3k)
solve this the link is down below
bru you just times the too numbers then you divide the answer by 2 then you times that by 4 then that your answer BIG BRAIN 169420iq your welcome
Answer: SHEEEESHOOOOOO yesssirrrr big brainnnnnnn :clap clap:
The model represents an inequality. What is the solution set for the inequality?
F). x ≤ -5
G). x ≤ 5
H). x ≤ 1
J). x ≤ -14
Answer:
-5
Step-by-step explanation:
4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5
there are 20 kids in Lisa's class 60% are boys how many girls are in Lisa's class?
Answer: there are 8 girls is Lisa’s class
Step-by-step explanation:
Answer:
There are 8 girls in Lisa's class because 60% of 20 is 12 so the other 40% is the remaining number of students since you took away twelve and set it aside since it is the 60% . 12 plus 8 equals twenty and twenty students equals 100% percent.
Step-by-step explanation:
What is the probability of choosing a queen, a king or an ace from a standard deck of playing cards??
Answer:
3/13
Step-by-step explanation:
There are 52 cards in a regular deck.
Among these are 4 each of K, Q and A, for a total of 12.
The probability of choosing a K, Q or A is therefore 12/52, or 3/13
Answer:
the first one 3/13 for sure :))
help me with my math please
Answer:
[tex]C)~2~in[/tex]
Step-by-step explanation:
[tex]v=4/3 \pi r^3[/tex]
[tex]4=4/3~\pi r^3[/tex]
[tex]12/4\pi =r^3[/tex]
[tex]\sqrt{3/\pi } =\sqrt{r^3}[/tex]
[tex]0.977=r[/tex]
[tex]D=2r[/tex]
[tex]D=2(0.977)[/tex]
[tex]D=1.9544~orD=2~in[/tex]
--------------------------------
hope it helps...
have a great day!!
CAN ANYONE TELL ME HOW TO DO THIS???
Answer:
108
Step-by-step explanation:
A straight line has an angle of 180, so to find <4 you need to subtract <2 from 180. So, 180 - 72 = 108.
3. Sohail needs to take a 4-day loan of $750 000 for his small business. How much interest will he need to pay if
interest is charged at 2.2% per year, simple interest?
a. $90.41
b. $542.47
d. $180.82
c. $361.64
Answer:
180.82
Step-by-step explanation:
750,000 x .022=16,500 per year
16,500/365 days =45.2055/day
45.2055 x 4 days = 180.82
Lin runs 8 laps around a track in 10 minutes.
Type the correct answer in each box below.
a. How many minutes per lap is that?
minutes
b. How many laps per minute is that?
laps
c. If Lin runs 18 laps at the same rate, how long does it take her?
minutes
Research the relevance of graphs in real-life applications. Discuss at least 3 instances where you would need the knowledge of graphs to solve day-to-day problems.
Answer:
graphs help present data in a quick and easy way, take out the most important facts and and help them be easily remembered. Graphs can be used to help make a buget. They can also help you when you are doing a presentation or report. Or even when you need to make a hard decision.
This is what I did hopefully this helps :))
Can someone help me shot this problem
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
[7.EE.B.4B] - Aaron takes a cab home from the airport. The cab charges an
initial fee of $2.25 and another $1.50 for every mile they travel. Write an
inequality that could represent the distance they could go if Marvin has
$25.50. Use the variable x. *
Solve for x. Express your answer as an integer or integers or in simple radical form .
Answer:
Below in bold.
Step-by-step explanation:
- 5 - x^2 = -10
-x^2 = -10 + 5
-x^2 = -5
Divide through by -1:
x^2 = 5
x = -√5, √5.
A milk truck has a diameter of 10 and feet and a height of 50 feet. How much milk can the truck hold?
Answer:
1250(pi) ft^3
or
3926.99 ft^3
Step-by-step explanation:
[tex](\pi {5}^{2} ) \times 50[/tex]
you have to put feet cubed at the end for units
does anybody know the answer??
where did i make a mistake?
Answer:
they reflected over the y axis instead of the x.
Please help! I will mark brainliest.
Answer:
the correct answer is D 175
Which is true of the proportional relationship below? Bread Recipe 10 8. 6 Flour (cups) 2. 0 1 2 3 4 5 6 Number of Eggs
Answer:
Now, you might immediately recognize that this is a proportional relationship. And remember, in order for it to be a proportional relationship, the ratio between the two variables is always constant. So, for example, if I look at y over x here, we see that y over x, here it's four over one, which is just four.
Step-by-step explanation: