The expression sin x (cos x cot x - sin x) simplifies to?
The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month. how much is your cost per visit during the year?
Answer:
cost per visit during the year= $4.31
Step-by-step explanation:
The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month
annual membership fee = $414 times each month
1 year = 12 months
Membership fee for 1 month = 414/12= 34.5
In 1 months total visit is 8
To find the cost per visit we divide the monthly fee by 8
Cost per visit = [tex]\frac{34.5}{8} =4.3125[/tex]
cost per visit during the year= $4.31
Given f(x)=4x^2−5 and g(x)=x+3 . What is (fg)(x) ?
The Main answer is [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex] Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex] the value of [tex](fg)(x)[/tex] is [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]
To find the product of two functions [tex]f(x)[/tex] and [tex]g(x),[/tex] denoted as [tex](fg)(x)[/tex], we simply multiply the two functions together.
Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex], we multiply them to get [tex](fg)(x)[/tex]:
[tex](fg)(x)=f(x)*g(x)=(4x^{2} -5)*(x+3).[/tex]
Now, we distribute [tex]4x^{2} -5[/tex] across [tex](x+3)[/tex]:
[tex](fg)(x)=4x^{2} *(x+3)-5*(x+3).[/tex]
Expanding further:
[tex]=4x^{3} +12x^{2} -5x-15.[/tex]
So, [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]
COMPLETE QUESTION:
Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex]. What is [tex](fg)(x)[/tex]?
What is measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
The measure of angle P is 61.93°
Step-by-step explanation:
We are given a right triangle with measures 8 cm, 15 cm and 17 cm.
For angle P, we see that,
Perpendicular = 15 cm
Hypotenuse = 17 cm
Using the trigonometric forms of the angles, we have,
[tex]\sin P=\frac{Perpendicular}{Hypotenuse}[/tex]
i.e. [tex]\sin P=\frac{15}{17}[/tex]
i.e. [tex]\sin P=0.88235[/tex]
i.e. [tex]P=\arcsin 0.88235[/tex]
i.e. P = 61.93°
Hence, the measure of angle P is 61.93°.
4(5y − 8 − 2) = 185 − 15 solve that pls
Write the quadratic equation y= x^2 -6x + 7 in vertex form
Lyle deposited a check for $75.26. He’ll use the check register to record his transaction. What will be his new balance?
$896.44
ExplanationRemember that to get the current balance, you subtract all the debits from balance and add all the deposits to it.
We know from our table that the first transaction is medical bill, which is debit, so we are going to subtract the medical bill from the balance to find the balance at that point in time.
Balance = $862.74 - $41.56 = $821.18
We also know that the second transaction is a check deposit for $75.26, so to find the current balance, we just need to add $75.26 to our previous balance.
Current balance = $821.18 + $75.26 = $896.44
Answer:
its B
Step-by-step explanation:
What’s the answer to this?
ABCD∼EFGH
AD=45 in. , EH=75 in. , and AB=30 in.
What is EF ?
Enter your answer in the box.
EF =
in.
The number of adults who attend a county fair (measured in hundreds of people) is represented by the function a(d)=−0.3d2+4d+9 , where d is the number of days since the fair opened. The number of children who attend the same county fair (measured in hundreds of people) is represented by the function c(d)=−0.2d2+5d+11 , where d is the number of days since the fair opened. What function, f(d) , can be used to determine how many more children than adults attend the fair on any day?
Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.
Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.
Any function f(d) to find excess of children more than adults can be written as follows :-
f(d) = c(d) - a(d).
⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)
⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9
⇒ f(d) = 0.1d² + d + 2
Which equation is in standard form and represents a line with slope 5 through the point (0, 2)?
Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:
f(x) = 2x + 21
g(x) = x − 24
A)−27
B)−21
C)6
D)48
I THINK ITS D BUT IM NOT SURE HELP ME PLEASE IM RIGHT?,
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
8. Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. EXPLAIN HOW YOU GOT THE ANSWER OR YOU DONT GET THE BRAINLIEST
The value of x in the triangle using the principle of Pythagoras is 2879.4 meters
Given the right angle triangle :
The angle of elevation = 10°Opposite side = 500 mx = hypotenusRecall :
SOHCAHTOAUsing the relation :
Sin θ = opposite / hypotenus
Sin 10° = 500 / x
Cross multiply :
x(sin 10°) = 500
0.1736481x = 500
x = 500 / 0.1736481
x = 2879.39 meters
Therefore, the value of x in the triangle is 2879.4 meters.
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Answer: 2879.39 meters
Step-by-step explanation:
A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 9 cm, what is the volume of the metal after the hole is drilled? Let π ≈ 3.14 and round your answer to the nearest tenth.
What is the perimeter of 10 and 12?
What is the value of 238 - 3x^2 when x=4??
Easy Math Problem....
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
Incorrect answers will be reported!
I just need the answers and I promise I will give the brainliest whoever comment first
1. Vertex (1,2), Point (2,-5)
2. Vertex (-3,6), Point (1,-2)
3. Vertex (0,5), Point (1,-2)
4. Vertex (1/4, -3/2), Point (1,3)
Which expression is equivalent to (x - 6) (2x2 - 3x + 4)? 2x2 - 2x - 2 2x2 - 2x + 4 2x3 - 3x2 + 4x - 6 2x3 - 15x2 + 22x - 24
Samantha’s younger brother just turned 3 years old. Fred’s brother is now 30 months old. Who brother is older? Explain
tan(x+pi/2)= negative cot x
draw and label a figure that has 4 points, 2 rays, and 1 right angle.
Answer:
Figure attached below.
Step-by-step explanation:
To draw and label - A figure that has 4 points, 2 rays, and 1 right angle.
Image is attached below.
This image has 4 points, 2 rays, and 1 right angle.
The point is a dot from which a line form.
The point s are: A, B, C, D.
A ray is starts out at a point and continues off to infinity.
The rays are: BA, BF, BD, CD, and CE
An angle is the angle formed between two rays .
The right angle is at B i.e, 90°
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?
Answer:
[tex]x-4y=8[/tex]
Step-by-step explanation:
Given : (–4, –3) , (12, 1)
Solution:
[tex](x_1,y_1)=(12,1)[/tex]
[tex](x_2,y_2)=(-4,-3)[/tex]
Two point slope form : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute the given values.
[tex]y-1=\frac{-3-1}{-4-12}(x-12)[/tex]
[tex]y-1=\frac{-4}{-16}(x-12)[/tex]
[tex]y-1=\frac{1}{4}(x-12)[/tex]
Now standard form of equation of line = [tex]Ax+By=C[/tex]
So, [tex]y-1=\frac{1}{4}(x-12)[/tex]
[tex]4(y-1)=(x-12)[/tex]
[tex]4y-4=(x-12)[/tex]
[tex]12-4=x-4y[/tex]
[tex]8=x-4y[/tex]
[tex]x-4y=8[/tex]
Hence the standard form of the equation for this line is [tex]x-4y=8[/tex]
Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis what is the lowest altitude guillermo will reach?
Answer:
-125 meters.
Step by step explanation:
We have been given that Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), x seconds after diving, is modeled by [tex]g(x)=\frac{1}{20}x(x-100)[/tex].
We have been given a quadratic function and the minimum value will occur at vertex.
First of all we will write it in standard quadratic form by using distribution property.
[tex]\frac{x^{2}}{20}-\frac{100x}{20}[/tex]
[tex]\frac{x^{2}}{20}-5x[/tex]
Now we will find vertex of our parabola using [tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-5)}{2(\frac{1}{20})}[/tex]
[tex]x=\frac{5}{(\frac{2}{20})}[/tex]
[tex]x=\frac{5\times20}{2}[/tex]
[tex]x=5\times10[/tex]
[tex]x=50[/tex]
Now let us substitute x=50 in our quadratic function to find lowest altitude of Guilermo.
[tex]g(50)=\frac{50^{2}}{20}-5\times 50[/tex]
[tex]g(50)=\frac{2500}{20}-250[/tex]
[tex]g(50)=125-250[/tex]
[tex]g(50)=-125[/tex]
Therefore, the lowest altitude Guilermo will reach is -125 meters.
Choose all that are correct.
An inscribed angle measures 80° with an arc measurement of 160°.
An inscribed angle measures 30° with an arc measurement of 15°.
A central angle measures 50° with an arc measurement of 25°.
An arc measures 40° with an inscribed angle is 20°.
Answer: Second and third options are correct.
Step-by-step explanation:
As we know that
Angle at the center is the double the angle formed at the circumference of the circle.
So, An inscribed angle measure 30° if the angle formed at the circumference ( an arc measurement is of 15°)
Similarly, A central angle measures 50° with an arc measurement of 25°.
Hence, Second and third options are correct.
Answer:
The answer is the first one and the last one.
An inscribed angle measures 80° with an arc measurement of 160°.
and
An arc measures 40° with an inscribed angle is 20°.
the guy above is wrong do not do his answers
A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. He plans to use 40 pounds of nuts worth 75 cents a pound. What should be the price of the other type of nuts he uses? Answer:
60 cents a pounds is needed.
From the question, we are given that:
100 one pound of nut to sell for 66 percent a jar 40 pound of nuts worth 75 cents a poundSince the question says he plans to use 40 pounds and he wants to make up 100 pounds jar of nut, therefore you should know that 60 pounds of the nuts is needed.
Further ExplanationLet Y be the price of 60 pounds of nuts
Therefore, the equations should as follows:
(40 x 75) + (60 x y) = 66 x 100
= 3000 + 60y = 6600
60y = 6600 – 3000
60y = 3600 (divide both side by 60)
60y/60 = 3600/60 (60 cross out 60)
Y = 3600/60
Y = 60
Therefore, 60 cents a pounds is needed.
LEARN MORE:
A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. https://brainly.com/question/8565795A grocer mixed nuts worth 80 cents per pound with nuts worth 50 cents per pound. https://brainly.com/question/8080590KEYWORDS:
66 cents jar40 pounds of nut100 one-pound60 cents75 cents a poundBRAINLIEST ANSWER!!!!!!!!!!!!!!!!!!!!!!! HELP PLZ!!!!!! Use the net to determine the lateral surface area.
The net of a triangular prism with the height of 4 inches, and each leg of the triangular base is 6 inches and its height is 5.2 inches is laid flat.
**i can't paste the picture, so this is all I have. If you can please help, i would appreciate it so much. plz help, ty!
Three coins are in a bag. the first coin flips heads with probability 50%, the second coin flips heads with probability 60%, and the third coin flips heads with probability 70%. i pull out a coin and flip heads. if i flip this coin again, what is the probability i will get heads?
Final answer:
The probability of flipping heads again after already flipping heads once is 50%
Explanation:
The probability of getting heads when flipping a coin twice can be calculated by multiplying the probabilities of getting heads each time. Let's calculate the probability step by step:
Pick a coin: Each coin has a probability of being picked, so the probability of picking any of the three coins is 1/3.The probability of picking a coin that flips heads is 50%, since the first coin has a 50% probability of flipping heads.Flip the coin: Since we know the coin flips heads, the probability of getting heads on the second flip is still 50%, regardless of which coin was picked.Therefore, the probability of getting heads on the second flip is 50%.
If Thomas wants a volume of 12 in3, what size does the cutout need to be? What would be the dimensions of this box?
The U.S. government borrows money by _____.
A. asking banks or foreign investors
B. printing money
C. issuing stocks
D. issuing Treasury bonds and other government-backed securities
Answer:
D. issuing Treasury bonds and other government-backed securities
Step-by-step explanation:
Governments create debt by issuing government bonds and bills. Less creditworthy countries sometimes borrow directly from a supranational organization (e.g. the World Bank) or international financial institutions.
Treasury bonds are how the US - and all governments for that matter - borrow hard cash: they issue government securities, which other countries and institutions buy. So, the US national debt is owned mostly in the US - but the $5.4tn foreign-owned debt is owned predominantly by Asian economies.