Mathematics High School

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?

Answers

Answer 1

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

Related Questions

solve the system by substitution
5x+y=-14
5x- 3y=2

Answers

Answer:

x = -2, y = -4, or (-2, -4).

Step-by-step explanation:

5x + y = -14

5x - 3y = 2

If we look at the first equation, we can see that y can be easily isolated.

5x + y = -14

Subtract 5x from both sides.

y = -5x - 14

Now we have a variable that we can plug into the second equation.

5x - 3y = 2

5x - 3(-5x - 14) = 2

Distribute the -3 across each term in the parentheses.

5x + 15x + 42 = 2

Combine like terms.

20x + 42 = 2

Subtract 42 from both sides.

20x = -40

Divide both sides by 20 to isolate x.

x = -2

Plug in x = -2 back into one of the equations to find y.

y = -5x - 14

y = -5(-2) - 14

Multiply.

y = 10 - 14

Subtract.

y = -4

Our solution is x = -2, y = -4, or (-2, -4).

Check your answer by plugging both values into one of the equations.

5x - 3y = 2

5(-2) - 3(-4) = 2

-10 + 12 = 2

2 = 2

Your answer is correct.

Hope this helps!

What is the answer?????

Answers

Answer:

5/12

5 balloons were yellow out of the 12

Tell me the statements that are true ?? Please and hurry ASAP DUE SOON

Answers

The diameter is 30 and the radius is 15

the diameter is found by the formula πr2

Simplify:
3x2 – 2x + 1 = [?]
x=4

Answers

Answer:

look at the picture i sent........

[tex]\frac{3}{4}-\frac{2}{3}[/tex]

Answers

Lcf= 12

So we’d have
9 - 8
———
12

1
—-
12

In the data set below, what are the lower quartile, the median, and the upper quartile? 626676848497 lower quartile = median = upper quartile =

Answers

Answer:

Q1 = 4

Q2 = 7

Q3 = 42. 75

Step-by-step explanation:

Given the data:

626676848497

6, 2, 66, 7, 6, 8, 4, 8, 49, 7

Arrange in ascending order :

2, 4, 6, 6, 7, 7, 8, 8, 49, 66

The lower quartile (Q) :

1/4(n+1)th term

n = number of sample = 10

1/4(11)th term

2.75 term : (2 + 6) /2 = 8/2 = 4

Median :

1/2(n+1)th term

n = number of sample = 10

1/2(11)th term

5. 5 term : (7 + 7) /2 = 14/2 = 7

Upper quartile :

3/4(n+1)th term

3/4(11)th term

8.25 th term

3 /4 (8 + 49) = 42.75

please bootiful people help this nonsmart person

Answers

Answer:

Step-by-step explanation:

the triangle is right angle.

at right angle it makes 90°. therefore;

(3d+1)°+(6d+8)°=90°

3d+1°+6d+8°=90°

9d+9°=90°.

9d=90°-9°

9d=81°

d=81/9

d=9°

What are the coordinates of point A?

Answers

Answer:

A . ( 1 , 2 )

(1,2) is the answer for coordinate point A

Approximate the distance between (0, -5) and (4, 1) to the nearest tenth, if necessary.

Answers

Answer:

7.7

Step-by-step explanation:

To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,

Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5 4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:

4²+6²=c²

24+36=c²

√60=c

c=7.74....

But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)

75
Which degree measurement is equivalent to radians?
6
A. 1050
B. 210°
C. 240°
D. 420°

Answers

Answer:

B. 210°

hope it helps

have a nice day

simplify (√3+√2) ²
15 points
[tex] \sqrt{(3 + 2) ^{2} } [/tex]

Answers

Step-by-step explanation:

Given :-

(√3+√2)²√{(3+2)²}

And we need to simplify the given numbers . We can use a identity in 1st Question as ,

[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]

Simplifying first :-

[tex]\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}[/tex]

Simplifying second :-

[tex]\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}[/tex]

What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)

Answers

Answer:

I want to say B or D please tell me if I'm right lol

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:

Step-by-step explanation:

Because it is an equation

due to day help a lot of pionts

Answers

Answer:

6 yd

Step-by-step explanation:

Answer:

Step-by-step explanation:

I will give brainllents If the rectangle below is enlarged using a scale factor of 2.5, what will the area of the new rectangle be?

Group of answer choices

55 in sq

150 in sq

24 in sq

27.5 in sq

Answers

Answer:

answer: 150 in sq

Step-by-step explanation:

All we have to do to these is multiply 2.5 by the base and height then multiply base × height so 2.5 × 8 = 20 2.5 × 3 = 7.5

20 × 7.5 = 150 Hope this helps!

What is the area of the composite shape?
cm
6 cm
5 cm

Answers

Answer:

40 cm

Step-by-step explanation:

Area of rectangle:

A = bh

A = 5(6)

A = 30

Area of triangle:

A = 0.5bh

A = 0.5(5)(4)

A = 2.5(4)

A = 10

Combined:

30 + 10

Question is in the picture!! Will give brainliest!

Answers

Answer:

value of x = 12

value of y = 8

In ΔRST, r = 530 cm, s = 530 cm and t=950 cm. Find the measure of ∠T to the nearest 10th of a degree.

Answers

The answer to this question is 127.3

Find the value ot x to the nearest tenth. х 3 9 3

Answers

x = √63
good luck :)))

Jewan is setting up a monthly budget. His gross monthly income is $3125, but 20% is deducted for taxes. How much money is deducted in taxes, and how much is his monthly net pay?

Answers

Answer:

$625

$2500

Step-by-step explanation:

tax = percent of tax x income

0.2 x 3125 = 625

amount remaining = income - tax

3125 - 625

f(x) = x^2– 2x + 3; f(x) = –2x + 12

Answers

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyStep-by-step explanation:yyyyyyyyyyyyyyyyyyy

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

**PLEASE HELP**

Solve the following equation for g: 2(9 - h) = b + 4

Answers

The answer is G= b+2h+4/2

Solve the following expression when
x = 7 and y = 2
(y + 2). (x + 4 - 5)

Answers

Answer:
4 and 23

Explanation:
P
E
M
D
A
S

Suppose you drop a ball from 120 feet. The ball will bounce to 25 of its previous height. What is the total distance the ball travels from when you let it go to the max height it reaches after the 5th bounce? Round to the nearest tenth.
A) 268.7
B)273.9
C)277.1
D)279.3

Answers

Answer:

277.1 feets

Step-by-step explanation:

Drop height = 120 feets

Ball bounces 2/5 of previous height

Height after 1st bounce :

120 * 2/5 = 48 feets

Return distance = 48 feets

Height after second bounce :

48 * (2/5) = 19.2 feets

Return distance = 19.2 feets

Height after 3rd bounce :

19.2 * (2/5) = 7.68 feets

Return distance = 7.68 feets

Height after 4th bounce :

7.68 * (2/5) = 3.072 feets

Return distance = 3.072 feets

Height after 5th bounce :

3.072 * (2/5) = 1.2288 feets

(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328

= 277.1 feets

Which expression is equivalent to –7 –(-2.5)?

Answers

Answer: A) -7 + 2.5

Step-by-step explanation:

- and - makes +, which makes -(-2.5) a +2.5

the answer would be A: -7+2.5
because there is a double negative it makes 2.5 positive.

Write an equation of the line in slope-intercept form that passes through the point (3, 8) with slope 4?

Answers

Slope intercept form:
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
Y intercept = -4

Solution: y = 4x - 4

Anyone know this plsss

Answers

Answer:

I have the same question but with one more number.

anyways-

30 or 15? (i dont know, maybe look at the other answer?)

Step-by-step explanation:

Answer is
V=135 m^3

Explanation:
You can find volume of a triangular prism by using V=(base•height)

Base is the triangle which you find using 1/2•base of the triangle•height of the triangle. So,
Base = (1/2•6•5)
= 15
Then you multiply this by height of the prism which is 9

15•9= 135

Guys help me please

Answers

Answer:

A is correct option. Thanks

What transformation has taken place

Answers

The transformation is reflective

Plzzz help me!

Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.

What is the total amount Anthony will have at 4 years?

Answers

Answer:

Step-by-step explanation:

find 2 percent of 1000 and times it by 4 the amount of years

Answer:

$1082.43

Step-by-step explanation:

You use the interest formula.

P(1+r/n)^nt

Then plug it in

1000(1+.02)^4

Which comes out to 1082.43

Hope this helps

Brainliest would be appreciated

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