Expand the logarithm. log4 (3xyz)^2
Answer:
Answer is (2log2 + 2log3 + 2logx + 2logy + 2logz)
Step-by-step explanation:
log4(3xyz)²
= log4 + log(3xyz)²
= log4 + 2log(3xyz)
= log(2)² + 2[log3 + logx + logy + logz]
= 2log2 + 2log3 + 2logx + 2logy + 2logz
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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)
A student takes a true-false test that has 12 questions and guesses randomly at each answer. let x be the number of questions answered correctly. find p(x=5)
a. 0.1934
b. 0.2256
c. 0.1208
d. 0.0002
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°
Samantha’s younger brother just turned 3 years old. Fred’s brother is now 30 months old. Who brother is older? Explain
The number of visitors to a park is expected to follow the function v(x) = 7(x − 1), where x is the number of days since opening. On the first day, there will be a ceremony with 39 people in attendance. What is the function that shows total visitors, including the ceremony?
c(x) = 7(x − 1) − 39
c(x) = 39x − 7
c(x) = 39 − 7(x − 1)
c(x) = 39 + 7(x − 1)
The answer is D. c(x) = 39 + 7(x - 1)
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°.
The Great Pyramids of Giza, Egypt are dedicated the following pharaohs EXCEPT ___________.
a. Khafre
b. Tutankhamen
c. Khufu
d. Menkaure,
The Great Pyramids of Giza in Egypt are dedicated to Khafre, Khufu, and Menkaure, but not Tutankhamen.
Explanation:The Great Pyramids of Giza in Egypt are dedicated to three pharaohs - Khafre, Khufu, and Menkaure. The pharaoh that is not associated with one of the Great Pyramids is Tutankhamen. Tutankhamen, also known as King Tut, ruled during the 18th dynasty of the New Kingdom but was not part of the Fourth Dynasty that built the pyramids at Giza.
Which expression is equivalent to (x - 6) (2x2 - 3x + 4)? 2x2 - 2x - 2 2x2 - 2x + 4 2x3 - 3x2 + 4x - 6 2x3 - 15x2 + 22x - 24
What is the perimeter of 10 and 12?
HOW TO DO THIS? Find value of x
Write the quadratic equation y= x^2 -6x + 7 in vertex form
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.
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66 cents jar40 pounds of nut100 one-pound60 cents75 cents a poundIf Thomas wants a volume of 12 in3, what size does the cutout need to be? What would be the dimensions of this box?
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:
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]?
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!
tan(x+pi/2)= negative cot x
What’s the answer to this?
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.
Which equation is in standard form and represents a line with slope 5 through the point (0, 2)?
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 is the value of x?
The value of x can signify diverse number based on the context it is applied in. For instance, it can be a certain range of values, part of a chemical equation, or the result of a mathematical equation. Therefore, the value of x is determined by the given conditions.
Explanation:The value of x can be discovered through various mathematical processes depending on the context. In the examples given, x was used to denote different values across multiple scenarios.
One situation presented x as a value that ranged from 1.5 to 4.5, indicated by 1.5 ≤ x ≤ 4.5. In another instance, x was determined by the concentration of hydroxide ions in a chemical equation, which resulted in x = 4.0 × 10-³ M. Furthermore, x was also inferred from a quadratic equation where it implied the hydronium concentration.
In summary, the value of x varies based on the mathematical or scientific context it is applied to, and its value must be determined through specified conditions or equations.
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AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 50º.
What is the measure of ∠DQM?
Answer:
Hello! I just completed the quiz :))
Step-by-step explanation:
This is for more confirmation (´。• ᵕ •。`) ♡ glad I could help!
Tangent is a straight line that touches the circle at any point on the curve. The measure of ∠DQM in ΔDQM is 40º.
What is a tangent?A tangent is a straight line that touches the circle at any point on the curve. And the angle made by the tangent with radius is always 90°.
We know that line AD is the tangent to circle M, and line MD is the radius of the circle, therefore, the measure of ∠ADM is 90°.
Now, In ΔDQM, the measure of ∠DMQ is 50º, while the measure of ∠MDQ is 90º. therefore, the sum of all the angles of the ΔDQM can be written as,
[tex]\angle DQM + \angle MDQ + \angle DMQ = 180^o\\\\\angle DQM + 90^o + 50^o = 180^o\\\\\angle DQM = 180^o -90^o -50^o\\\\\angle DQM = 40^o[/tex]
Hence, the measure of ∠DQM is 40º.
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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
ABCD∼EFGH
AD=45 in. , EH=75 in. , and AB=30 in.
What is EF ?
Enter your answer in the box.
EF =
in.
4(5y − 8 − 2) = 185 − 15 solve that pls
What is the value of 238 - 3x^2 when x=4??
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.
The expression sin x (cos x cot x - sin x) simplifies to?