Answer:
The temperature is: 14.5 degrees
Step-by-step explanation:
Given
[tex]T = 4 \cos(30(t - 8)) + 16[/tex]
Required
The temperature at 4:15
We have:
[tex]t = 4:15[/tex]
Convert to hours
[tex]t = 4+\frac{15}{60}[/tex]
[tex]t = 4+0.25[/tex]
[tex]t = 4.25[/tex]
So:
[tex]T = 4 \cos(30(t - 8)) + 16[/tex]
[tex]T = 4 \cos(30(4.25 - 8)) + 16[/tex]
[tex]T = 4 \cos(30(-3.75)) + 16[/tex]
Open bracket
[tex]T = 4 \cos(-112.5) + 16[/tex]
[tex]T = 4 *-0.3826 + 16[/tex]
[tex]T = -1.5304 + 16[/tex]
[tex]T = 14.4696[/tex]
Approximate
[tex]T = 14.5^o[/tex]
Question 2
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area?
Answer
F ) It will increase by 12 square feet.
G )It will decrease by 12 square feet.
H )
It will increase to 39 square feet.
J )
It will decrease to 12 square
feet.
Answer:decrease by 12 feet
Step-by-step explanation:I did the math
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, the new area will be decreased by 12.
How does the area of a rectangle, and its length and width related?The area of a rectangle is the product of its length and width.
If a rectangle has a length L units and a width of W units, then
Area = L × W squared units.
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area.
Area = L × W
Let the length and width are x and y
27 = x × y
xy = 27
The new area if its length and width are changed to 2/3 of their original size
Area = L × W
[tex]27 \times 2/3 \times 2/3\\\\= 3 \times 4\\\\= 12[/tex]
Therefore, the new area will be decreased by 12.
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It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.505 cups of sugar. How many batches of cookies can I make?
Answer:
about 22 batches
Step-by-step explanation:
5.505 divided by .25
Answer:
4.6
Step-by-step explanation:
0.25+5.505=4.6 so that is the answer if you dont get it right me get it right because i just get ir on my test
This season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees lose and score fewer than 5 runs is 0.34. What is the probability that the Yankees would score fewer than 5 runs when they win the game? Round your answer to the nearest thousandth.
The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability that the Yankees will win a game P(win) = 0.6
The probability that the Yankees will score 5 or more runs in a game is:
P(s>5) = 0.57
The probability that the Yankees lose and score fewer than 5 runs is:
P(s<5) = 0.34
To find the probability that the Yankees would score fewer than 5 runs when they win the game:
This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:
= P(win)×P(s<5)
= 0.6×0.34
= 0.204
Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6
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On the Unit Circle:
If cos x < 0 which Quadrant(s) is the angle?
1. I &IV
2. II & III
3. I &II
4. III & IV
Answer:
Quadrant I and quadrant IV
Step-by-step explanation:
Given that cos x< 0
x < arccos 0
x < 90degres
Since cos s positive in the first and 4th quadrant, hence the angle lies in the Quadrant I and quadrant IV
The two windows shown are similar. What is the height of the larger window?
Simplify this expression.
(2+3)65-7
Answer:
Make me Brainliest
Step-by-step explanation:
=5*65-7
=325-7
=318
F(x)=3x^2+2 the quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) in the box
Answer:
g(x) = 12*x^2 + 8
Step-by-step explanation:
For a function f(x), a vertical stretch of scale factor k is defined as:
g(x) = k*f(x)
In this case, we know that f(x) = 3*x^2 + 2
And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4
and:
g(x) = 4*f(x)
Replacing by the actual function, we get
g(x) = 4*(3*x^2 + 2)
g(x) = 4*3*x^2 + 4*2
g(x) = 12*x^2 + 8
The selling price of a fan excluding VAT is Rs 1250. It is given that the VAT rate is 15 %. Find the price of the fan inclusive of VAT.
Answer:
Rs 1,437.5
Step-by-step explanation:
VAT = 15% = 15/100 × Rs 1250 = Rs 187.5
the price inclusive of VAT = Rs 1,250 + Rs 187.5
= Rs 1,437.5
C
y
0
5
1
1
20
2
80
3 320
Answer:
yes
Step-by-step explanation:
If A = 30 degree and B = 60 degree , what is the value of sin(A+B). *
a) 0
b) 1/2
c) √3/2
d) 1
Answer:
I THINK it's B 1/2
Step-by-step explanation:
Sorry if wrong
Answer:
In this case, D
Step-by-step explanation:
Sin(30+60)=0.8939966636 which can be rounded to 0.89.
Now that we got that out of the way, we supposedly can follow the process of elimination.
It's clearly not A since we know the answer isn't equivalent to zero.
1/2 equals 0.5, meaning B's also not it.
We also know the answer isn't D, since 0.89 does not equal 1.
That only leaves C. Yet when check, just in case, √3/2 equals 1.22474487, meaning that's not the answer.
We've eliminated every answer so far, meaning we should go back and check our work. As I stated earlier, 0.8939966636 can be rounded to 0.89, but it can also be rounded to 1. Meaning, the closest answer to what we're looking for is D.
Of course, there could always be an error in the question itself, but unfortunately, there's no way to confirm that without asking your instructor or tutor.
I hope that helps.
Ricardo and John start swimming from the same location. Ricardo starts 15 seconds before John and
swims at a rate of 3 feet per second. John swims at a rate of 4 feet per second in the same direction as
Ricardo. Which equation could you solve to find how long it will take John to catch up with Ricardo?
Does anyone know the answer?
Answer:
t = (t₁ · vr)/ (vj - vr) = 45 seconds
Step-by-step explanation:
Given:
Initial time from Ricardo t₁ = 15 seconds, Ricardo's velocity (speed) vr = 3 ft/s,
John's velocity (speed) vj = 4 ft/s
Requested time when John catch Ricardo t = ?
During 15 seconds, Ricardo moved away
S = vr · t₁ = 3 ft/s · 15 s = 45 feet.
From that moment, the same time runs for both of them
Ricardo's path is S₁ = vr · t and John's path is S₂ = vj · t
S + S₁ = S₂ => S = S₂ - S₁ => 45 = vj · t - vr · t
When we draw t we get:
t ( vj - vr) = 45 t = 45 / (vj - vr) = 45 / (4 - 3) = 45 / 1 = 45 seconds
t = 45 seconds
S₁ = vr · t = 3 · 45 = 135 ft
S₂ = vj · t = 4 · 45 = 180 ft
Simplify 12(A - B).
I don’t understand?
Answer:
12A-12B
Step-by-step explanation:
In the parentheses, it is A-B. Using the distributive property you break up the parentheses then you have 12xA - 12xB. This is known as the "Santa Hat". The lines mean that you do each function to each constant, variable, or term.
I need help with this problem
Answer:
D
Step-by-step explanation:
Select the correct image.
Answer:
Triangle 2
Step-by-step explanation:
That is Pythagorean Theorem, which is only for right triangles. The second triangle has the little square, so you know it is 90 degrees.
What is the equation
in slope-intercept
form of the line that
passes through the
points (20,-25) and
(-8, -11)?
Answer:
y = -1/2x - 15
Step-by-step explanation:
y2 - y1 / x2 - x1
-11 - (-25) / -8 - 20
14 / -28
= -1/2
y = -1/2x + b
-11 = -1/2(-8) + b
-11 = 4 + b
-15 = b
It takes 0.750.75 cups of sugar to make a batch of lemon cookies. I have 5.55.5 cups of sugar. How many batches can I make?
Help pls
Bshdndbrjdhbdbdhdjd
Answer:
just function A
A is, for every 2x (2 steps) the value of y increased linearly by 2.5
B isn't, for every 10x (10 steps), the increase of y varies
What slope does a horizontal line have? Use a number to fill in the blank
Courtney would like to buy a new phone for $680. So far, she has saved $240. If she earns $8 an hour
babysitting, how many hours will she need to work to be able to buy the phone?
Answer:
she will need to work for 55 hours to buy the phone
Step-by-step explanation:
680 - 240 = 440
that's how much more she needs
449 ÷ 8 = 55
and that's the answer
55
hope that helped
Answer:
55 hours
Step-by-step explanation:
Well first we need to set up the equation
We know she needs 680$ to buy the phone so the equation must be equal to 240
She has 240 and earns 8 dollars per hr so were finding out how many hours of work is needed to be able to buy the phone
Represent the number of hours worked by "x"
Set the equation up as
240 + 8x = 680
Add -240 to both sides of the equation to make 240 be 0 and 680 be 440
8x = 440
divide both sides of equation by 8 to get what x equals
x=55
She needs to work 55 hours
40 POINTS
Pleaseee help, I need to turn this in soon.
Answer:
The Pythagorean identity [tex]\sin^2\theta+\cos^2\theta=1[/tex] comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle [tex]\theta[/tex], we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle.
Therefore, we have the following equation:
[tex](\sin\theta)^2+(\cos\theta)^2=1^2,\\\boxed{\sin^2\theta+\cos^2\theta=1}[/tex]
The Pythagorean identity comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle , we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
, where is the hypotenuse of the triangle and and are two legs of the triangle.
Therefore, we have the following equation:
What is the domain of the absolute value function below?
-2-
1 2 3 4 5 6 7 8 x
O XS-4
0 x 22
0 (-09-4)
Remember
Domain is set of x valuesRange is set of y valuesHere
there is no starting or ending point
so domain is
(-oo,oo)
The domain of the absolute value function given is (-∞, +∞).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Domain of a function is the set of all the input values and the range of the function is the set of all the output values.
Given is an absolute value function.
Absolute value functions are functions which has the absolute value symbols in the expression.
From the graph, we can see that the value of x moves from negative infinity to infinity.
Domain of the function is the set of input values which is the set of values of x.
So the domain is (-∞, +∞).
Hence the domain is (-∞, +∞).
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Triangle JKL has the coordinates listed: J (5, -8), K (10, -8), L (7, -4) Where is J’ after a reflection over the y-axis?
The Rule for reflection over the y-axis is given by (x,y) to (-x,y).
so, J' (-10,-8)
✐----------------------
hope it helps...
have a great day!
Answer:
J' Coordinates = (-5, -8)
Step-by-step explanation:
We know that in the coordinate point J (5, -8);
x-value = 5
y-value = -8
In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;
x-value = -5
y-value = -8
J' Coordinates = (-5, -8)
Hope this helps!
SOMEONE HELP ME WITH 13 and 14 please!!!! Will make
U brainlist!!!
Answer:
here u go
Step-by-step explanation:
and here is 8 and 9
0.6×8 and tell me how you got the answer pls
[tex]0.6 \times 8[/tex]
Answer:
4.8 is the answer!
Step-by-step explanation:
0.6 x 8 = 4.8
6 x 8 = 48
multiply 6 by 8, and move the decimal to the left one time, and get 4.8
Answer: 4.8
Step-by-step explanation: multiply 6*8 (which is 48) then move the decimal point one forward from the back
48.0 (this is before you move the point)
4.8 (this is after)
basically depending on how much numbers you have after the decimal point, that's how much you move forward!
Let me know if you have more questions!
Good luck!
On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour and 15 minutes at archery and 2 hours sailing. What time did sailing end?
Answer:
Sailing end at 3:15 AM
Step-by-step explanation:
Connor did archery and sailing before dinner (in that order).
He started at 12:00 PM
We know that:
In archery, Connor spent 1 hour and 15 minutes
In sailing, Connor spent 2 hours.
The total time spent is:
1 hour + 15 minutes + 2 hours
3 hours + 15 minutes.
Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:
3:15 AM
Sailing end at 3:15 AM
Please help me ASAP And show work please
Answer:
X = 11
Step-by-step explanation:
3^(x-7) = 81
Find what exponent makes three into 81
The answer: x = 11
Answer:
x = 11
Step-by-step explanation:
Given
[tex]3^{x-7}[/tex] + 4 = 85 ( subtract 4 from both sides
[tex]3^{x-7}[/tex] = 81
[tex]3^{x-7}[/tex] = [tex]3^{4}[/tex]
Since the bases on both sides are equal, both 3 then equate the exponents
x - 7 = 4 ( add 7 to both sides )
x = 11
25x2 – 9y2
Factories
Answer:
Step-by-step explanation:
25x^2-9y^2
=(5x)^2-(3y)^2
=(5x-3y)(5y+3y)
Answer:
=2(25×-9y) okay na po bayan
Can someone answer this
Answer:
Step-by-step explanation:
Umm I believe it would be 7189939
√2,√5,√9,√15 order from least to greatest
What is the tangent ratio of angle yº?