Answer:
false
Step-by-step explanation:
It's false. Entirely. No hesitation.
The sec(X) = 1 / Cos(X)
Cos(x) = y / z
1/cos(x) = 1//y/z
1/cos(X) = 1/1 * z/y
1/cos(X) = z/y
sec(X) = z/y
Yea it's false
I know I'm late but I hope it helped a little haha
URGENT!! Offering 50 Points
Approximate the solution to the equation using three iterations of successive approximation. Use the graph below as a starting point.
Answer:
B. x ≈ 13/8
Step-by-step explanation:
We assume that one iteration consists of determining the midpoint of the interval known to contain the root.
The graph shows the functions intersect between x=1 and x=2, hence our first guess is x = 3/2.
Evaluation of the difference between the left side expression and the right side expression for x = 3/2 shows that difference to be negative, so we can narrow the interval to (3/2, 2). Our 2nd guess is the midpoint of this interval, so is x = 7/4.
Evaluation of the difference between the left side expression and the right side expression for x = 3/4 shows that difference to be positive, so we can narrow the interval to (3/2, 7/4). Our 3rd guess is the midpoint of this interval, so is x = 13/8.
_____
The sign of the difference at this value of x is still negative, so the next guess would be 27/16. It is a little hard to tell what the question means by "3 iterations." Evaluating the function for x=13/8 will be the third evaluation, so the determination that x=27/16 will be the next guess might be considered to be the result of the 3rd iteration.
Answer:
B. x=13/8
Step-by-step explanation:
#platofam
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 197(1.25)x. Rewrite the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
A.) f(x) = 197(1.25)^7x; grows at a rate of approximately 2.5% daily
B.) f(x) = 197(1.25^7)^x; grows at a rate of approximately 4.77% daily
C.) f(x) = 197(1.03)^x; grows at a rate of approximately 0.3% daily
D.) f(x) = 197(1.03)^7x; grows at a rate of approximately 3% daily
Answer:
D.) f(x) = 197(1.03)^(7x); grows at a rate of approximately 3% daily
Step-by-step explanation:
The growth equation can be written in terms of a rate compounded 7 times per week:
f(x) = 197×1.25^x = 197×(1.25^(1/7))^(7x)
f(x) ≈ 197×1.0324^(7x) . . . . x represents weeks, a daily growth factor is shown
The daily growth rate as a percentage is the difference between the daily growth factor and 1, expressed as a percentage:
(1.0324 -1) × 100% = 3.24%
The best match is choice D:
f(x) ≈ 197(1.03^(7x)); grows approximately 3% daily
The correct answer to this question is D
Simplify the polynomial expression given below.
(2x − 1)(2x2 + 5x + 3) + (3x + 6)
Answer:
[tex]4x^{3}+8x^{2} +4x+3[/tex]
Step-by-step explanation:
Hello
To simplify the polynomial we must eliminate the parentheses
by definition
[tex]ax^{n}*bx^{m} =abx^{n+m}[/tex]
[tex](2x-1)(2x^{2} +5x+3)+(3x+6)\\(4x^{3} +10x^{2} +6x-2x^{2} -5x-3)+(3x+6)\\\\We\ add\ the\ similar\ terms\\\\(4x^{3}+8x^{2} +x-3)+(3x+6)\\\\4x^{3}+8x^{2} +4x+3[/tex]
I hope it helps
Have a great day
Answer:
Its A
Step-by-step explanation:
Just took it.
Mrs. Herby bought some carrots. She put 2/5 of them on a platter and the rest in a plastic bag. If there were 8 carrots on the platter, how many carrots were there in the plastic bag?
Answer:
5
Step-by-step explanation:
2/5 = 40%
40% of 8 Carrots = 3.2
3 Carrots on Platter
5 Carrots in Plastic Bag
Answer:
12 carrots
Step-by-step explanation:
To get the answer, you need to multiply and divide.
x ÷ 3 · 2 = 8
Now, we need to do the equation backwards to find x.
8 ÷ 2 · 3 = 4 · 3 = 12 carrots
Hillary rolls 2 number cubes numbered 1 through 6 while playing her favorite board game. She will get a second turn if she rolls a sum that is an odd number greater than 10.
What are Hillary's chances of getting a second turn when she rolls the number cubes?
1 over 36
1 over 18
1 over 12
1 over 6
Answer:
1 in 18
Step-by-step explanation:
The highest possible number Hillary can get is 12, meaning that the only odd number above 10 which she can get is 11.
There are two possible ways in which Hillary can get 11:
(a) Hillary rolls a 5 on her first cube and a 6 on her second cube
(b) Hillary rolls a 6 on her first cube and a 5 on her second cube
There are 34 other possible outcomes which Hillary can have when rolling her number cubes, for a total of 36 possible outcomes.
Since 2 of these outcomes result in a roll of 11, Hillary has a 2 in 36 chance of rolling an 11, which can be simplified as 1 in 18.
Answer:
1/18
Step-by-step explanation:
in the xy-plane, the y-axis contains all ordered pairs such that:
Answer:
B, the x coordinate is zero
Step-by-step explanation:
The y axis is the line where the x coordinate is zero
The x axis is the line where the y coordinate is zero
We are looking for the y axis, so x=o
Answer:
For me the answer was B (the x-coordinate is 0)
Step-by-step explanation:
sin4θ - sin2θ = _____
2cos3θcosθ
2cos3θsinθ
2sin3θcosθ
2sin3θsinθ
Answer:
B. 2cos3θsinθ.
Step-by-step explanation:
Use the identity
sin x - sin y = 2 [cos(x + y)/2]sin [x - y)/2].
So we have:
sin4θ - sin2θ = 2 cos (4θ+2θ)/2 sin (4θ-2θ)/2
= 2cos3θsinθ.
A rectangle is 5 times as long as it is wide. The perimeter is 70 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary. a. 14 cm by 70 cm c. 11.7 cm by 29.2 cm b. 5.8 cm by 64.2 cm d. 5.8 cm by 29.2 cm
Let the width = X, then the length would be 5x ( 5 times as long as the width).
The perimeter is adding the 4 sides.
x + x + 5x + 5x = 70
Combine the like terms:
12x = 70
Divide both sides by 12:
x = 70/12
x = 5.83
The width = 5.83 cm.
The length = 5 x 5.83 = 29.15
Now round each length to the nearest tenth:
5.8 and 29.2 cm.
The answer is d.
Every year, roughly 25,000,000 kg of hair is cut in the United States. Each kilogram of hair contains about 0.0002 kg of zinc, and each kilogram of zinc is worth about $444. How many dollars worth of zinc is contained in hair cut in the United States every year?
The dollars worth of zinc which is contained in hair cut in the United States every year is:
$ 2,220,000
Step-by-step explanation:The total kilograms of hair that are cut in the United States are: 25,000,000 kg
Also, the amount of zinc present in 1kg of hair is: 0.0002 kg
Hence, the amount of zinc present in 25,000,000 kg of hair is:
25,000,000×0.0002=5,000 kg
Also, cost of 1 kg of zinc= $ 444
Hence, cost of 5,000 kg of zinc will be: 5,000×444
Hence, cost of 5,000 kg of zinc=$ 2,220,000
Answer:
20,000
Step-by-step explanation:
25,000,000 * 0.0002 =5,000
5,000 * 4 = 20,000
A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
There are 216 different meals available when you select an appetizer, an entrée, and a dessert from the restaurant's menu.
Given that there are 6 choices for the appetizer, 12 choices for the entrée, and 3 choices for the dessert.
Total number of choices:
6 (choices for appetizer) × 12 (choices for entrée) × 3 (choices for dessert) = 216 different meals
Therefore, there are 216 different meals available when you select an appetizer, an entrée, and a dessert from the restaurant's menu.
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There are 216 possible meals. This answer is obtained by applying the counting principle in mathematics, which multiplies together the choices for each part of the meal (appetizer, entrée, dessert).
Explanation:This problem regards the counting principle in mathematics, which is a way of finding the total number of possible outcomes for a series of events. In this case, the events are choosing an appetizer, entrée, and dessert. The counting principle tells us that we can find the total number of possible meals by multiplying together the number of choices for each part of the meal.
Thus, we can solve this problem as follows:
Select an appetizer: 6 choices.Select an entrée: 12 choices.Select a dessert: 3 choices.By the counting principle, we multiply these together to get the total number of possible meals: 6 * 12 * 3 = 216 meals.
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given the expression (7-4i)-(2+6i), perform the indicated operation and write the answer in the form a+bi
Answer:
[tex]5-10i[/tex]
Step-by-step explanation:
we know that
To subtract two complex number, subtract the real parts and subtract the imaginary parts
so
[tex](a+bi)-(c+di)=(a-c)+(b-d)i[/tex]
we have
[tex](7-4i)-(2+6i)[/tex]
so
[tex](7-4i)-(2+6i)=(7-2)+(-4-6)i=5-10i[/tex]
PLEASE HELP I PUT ALOT OF POINTS INTO THIS AND I WILL GIVE BRAINLIEST
Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
A.) 3
B.) 1/3
C.) -1/3
D.) -3
Answer:
3
Step-by-step explanation:
The points they have in bold is probably a hint to the problem.
The points they have in bold are (1,2) on curve g which means g(1)=2
and (3,2) on curve f which means f(3)=2.
g(x)=f(kx)
We know g(1)=2 so if we replace the x's with 1, we get:
g(1)=f(k*1)
g(1)=f(k)
2=f(k).
Now we just need to solve f(k)=2 for k.
We know the point (3,2) is on f so f(3)=2.
If you compare:
f(k)=2
and
f(3)=2
then you should see that k=3.
A parabola has a vertex at the origin. The equation of the directrix of the parabola is y = 3. What are the coordinates of its focus? (0,3) (3,0) (0,–3) (–3,0)
Answer:
(0, -3)
Step-by-step explanation:
The vertex is halfway between the directrix and the focus. The vertex is at (0, 0) and the directrix is a (0, 3). There are 3 units between them, so that means that the focus is 3 units the other way at (0, -3).
Based on the scenario given above, the the coordinates of its focus is known to be (0, -3).
What is the parabola about?A parabola is known to be a kind of plane curve that is said to be often mirror-symmetrical and it is one that can be called closed to U-shaped.
Note that the vertex is said to be in the middle between the directrix and the focus. So the vertex is at (0, 0) and also the directrix is a (0, 3).
Since there are found to be 3 units between them, we can say that the focus is 3 units the other part at (0, -3).
Therefore, Based on the scenario given above, the the coordinates of its focus is known to be (0, -3).
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A level of measurement describing a variable whose attributes are rank-ordered and have equal distancesbetween adjacent attributes are _____ measures. interval ratio nominal theoretical ordinal
Answer: ordinal
Step-by-step explanation:
There are 4 levels of measurements scales :-
1. Nominal scale : It is used when we categorize the data on the basis of the characteristic such as Religion, Gender , etc.
2. Ordinal scale : It is used when we can order attributes according to their ranks. For example : First > Second > Third and so on.
3. Interval scale : It provides the characteristic of the difference between any two categories. For example : Fahrenheit scale to measure temperature.
4. Ratio scale : It has all the qualities of nominal, ordinal, and interval measures and in addition a "true zero" point. For example : Age.
From the above definitions , A level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes are ordinal measures.
Solve the right triangle. State the side lengths to the nearest tenth and the angle measures to the nearest degree.
Answer:
Option B
Step-by-step explanation:
The two acute angles of a right triangle are equal.
[tex] \angle \: A + 18 = 180[/tex]
[tex]\angle \: A= 90 - 18 = 72 \degree[/tex]
Recall the mnemonics SOH-CAH-TOA
The tangent ratio is opposite over adjacent.
[tex] \tan(18) = \frac{AC}{21} [/tex]
[tex]AC = 21 \tan(18) [/tex]
[tex]AC = 6.8[/tex]
The sine ratio is opposite over hypotenuse
Using the sine ratio,
[tex] \sin(72) = \frac{21}{AB} [/tex]
[tex]AB = \frac{21}{ \sin(72) } = 22.1[/tex]
Answer:
it 55
Step-by-step explanation:
From Tony's seat in the classroom, his eyes are 1.0 m above ground. On the wall 4.2 m away, he can see the top of a blackboard that is 2.1 m above ground. What is the angle of elevation, to the nearest degree, to the top of the blackboard from Tony's eyes?
The answer is 27 degrees but i dont know how to get that. can someone show me the steps please. will give BRAINLIEST.
Answer:
15 degrees
Step-by-step explanation:
Draw a horizontal segment approximately 4 inches long. Label the right endpoint A and the left endpoint C. Label the length of AC 4.2 meters. That is the horizontal distance between the eye and the blackboard.
At the right endpoint, A, draw a vertical segment going up, approximately 1 inch tall. Label the upper point E, for eye. Label segment EA 1 meter since the eye is 1 meter above ground.
At the left endpoint of the horizontal segment, point C, draw a vertical segment going up approximately 2 inches. Label the upper point B for blackboard. Connect points E and B. Draw one more segment. From point E, draw a horizontal segment to the left until it intersects the vertical segment BC. Label the point of intersection D.
The angle of elevation you want is angle BED.
The length of segment BC is 2.1 meters. The length of segment CD is 1 meter. That means that the length of segment BD is 1.1 meters.
To find the measure of angle BED, we can use the opposite leg and the adjacent leg and the inverse tangent function.
BD = 1.1 m
DE = 4.2 m
tan <BED = opp/adj
tan <BED = 1.1/4.2
m<BED = tan^-1 (1.1/4.2)
m<BED = 15
Answer: 15 degrees
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The angle of elevation is 15°.
What is Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Given that Tony's seat in the classroom, his eyes are 1.0 m above ground. On the wall 4.2 m away, he can see the top of a blackboard that is 2.1 m above ground. Therefore, The angle of elevation,
tan(x) = (2.1 - 1.0)/4.2
x = tan⁻¹ (1.1/4.2)
x = 14.68° ≈ 15°
Hence, the angle of elevation is 15°.
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A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? (Round your answer to two decimal places.) ft
The length of the shortest ladder that will reach from the ground over the fence to the wall of the building is:
16.65 ft.
Step-by-step explanation:Let L denote the total length of the ladder.
In right angled triangle i.e. ΔAGB we have:
[tex]L^2=h^2+(x+4)^2[/tex]
( Since by using Pythagorean Theorem)
Also, triangle ΔAGB and ΔCDB are similar.
Hence, the ratio of the corresponding sides are equal.
Hence, we have:
[tex]\dfrac{h}{8}=\dfrac{x+4}{x}[/tex]
i.e.
[tex]h=\dfrac{8(x+4)}{x}[/tex]
Hence, on putting the value of h in equation (1) we get:
[tex]L^2=(\dfrac{8(x+4)}{x})^2+(x+4)^2\\\\i.e.\\\\L^2=\dfrac{64(x+4)^2}{x^2}+(x+4)^2\\\\i.e.\\\\L^2=(x+4)^2[\dfrac{64}{x^2}+1]----------(2)[/tex]
Now, we need to minimize L.
Hence, we use the method of differentiation.
We differentiate with respect to x as follows:
[tex]2L\dfrac{dL}{dx}=2(x+4)[\dfrac{64}{x^2}+1]+(x+4)^2\times \dfrac{-128}{x^3}\\\\i.e.\\\\2L\dfrac{dL}{dx}=2(x+4)[\dfrac{64}{x^2}+1+(x+4)\times \dfrac{-64}{x^3}]\\\\\\i.e.\\\\\\2L\dfrac{dL}{dx}=2(x+4)[\dfrac{64}{x^2}+1-\dfrac{64}{x^2}-\dfrac{256}{x^3}]\\\\\\i.e.\\\\\\2L\dfrac{dL}{dx}=2(x+4)[1-\dfrac{256}{x^3}][/tex]
when the derivative is zero we have:
[tex]2(x+4)[1-\dfrac{256}{x^3}]=0\\\\i.e.\\\\x=-4\ and\ x=\sqrt[3]{256}[/tex]
But x can't be negative.
Hence, we have:
[tex]x=\sqrt[3]{256}[/tex]
Now, on putting this value of x in equation (2) and solving the equation we have:
[tex]L^2=277.14767[/tex]
Hence,
[tex]L=16.6477\ ft.[/tex]
which on rounding to two decimal places is:
[tex]L=16.65\ ft.[/tex]
Using the Pythagorean theorem, the length of the shortest ladder that will reach from the ground over the 8 ft fence to the wall of the building 4 ft away is approximately 8.94 ft.
Explanation:This problem is an example of a right triangle problem in trigonometry. The fence and the ground form the two legs of a right triangle and the ladder forms the hypotenuse. The 8ft fence is perpendicular to the 4ft distance from the building, forming a 90-degree angle.
To find the length of the shortest ladder from the ground over the fence to the wall of the building, we need to use the Pythagorean Theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the formula is h² = a² + b², where h is the length of the ladder (hypotenuse), 'a' is the height of the fence (8 ft), and 'b' is the distance from the fence to the building (4 ft).
Therefore, the length of the shortest ladder can be solved as follows:
h² = 8² + 4² = 64 + 16 = 80
By taking the square root of both sides, we find that h (the length of the ladder) is approximately 8.94 ft, rounded to two decimal places.
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Find x [Angles and Segment]
Answer:
8.3 cm
Step-by-step explanation:
The product of lengths to the near and far point of intersection with the circle is the same in all cases:
(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)
Since we're only interested in x, we can divide by 4 and subtract 4:
49 cm² = (4 cm)(4 cm +x)
(49/4) cm = 4 cm +x . . . . . . divide by 4 cm
8.25 cm = x . . . . . . . . . . . . . subtract 4 cm
To the nearest tenth, x = 8.3 cm.
_____
For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.
___
The angles depend on the size of the circle, which is not given.
HELLP!!
Drag the signs and values to the correct locations on the image. Each sign and value can be used more than once, but not all signs and values will be used.
Complete the standard form of the equation of the ellipse represented by the equation 9x2 + 4y2 − 36x + 8y + 4 = 0.
Answer:
(x - 2)²/2² + (y + 1)²/3² = 1 ⇒ The bold values and signs are the answers
Step-by-step explanation:
* Lets revise the equation of the ellipse
- The standard form of the equation of an ellipse with center (h , k)
and major axis parallel to x-axis is (x - h)²/a² + (y - k)²/b² = 1
- The coordinates of the vertices are (h ± a , k)
- To change the form of the equation of the ellipse to standard form we
will using the completing square
∵ The equation of the ellipse is 9x² + 4y² - 36x + 8y + 4 = 0
- Lets collect x in bracket and y in bracket
∴ (9x² - 36x) + (4y² + 8y) + 4 = 0
- We will take a common factor 9 from the bracket of x and 4 from the
bracket of y
∴ 9(x² - 4x) + 4(y² + 2y) + 4 = 0
- Lets make 9(x² - 4x) a completing square
∵ √x² = x ⇒ the 1st term in the bracket
∵ 4x ÷ 2 = 2x ⇒ the product of the 1st and 2nd terms
∵ 2x ÷ x = 2 ⇒ the 2nd term in the bracket
∴ The bracket is (x - 2)²
∵ (x - 2)² = x² - 4x + 4 ⇒ we will add 4 in the bracket and subtract 4
out the bracket
∴ 9[(x² - 4x + 4) - 4] = 9[(x - 2)² - 4]
- Lets make 4(y² + 2y) a completing square
∵ √y² = y ⇒ the 1st term in the bracket
∵ 2y ÷ 2 = y ⇒ the product of the 1st and 2nd terms
∵ y ÷ y = 1 ⇒ the 2nd term in the bracket
∴ The bracket is (y + 1)²
∵ (y + 1)² = y² - 2y + 1 ⇒ we will add 1 in the bracket and subtract 1
out the bracket
∴ 4[(y² + 2y + 1) - 1] = 4[(y + 1)² - 1]
- Lets write the equation with the completing square
∴ 9[(x - 2)² - 4] + 4[(y + 1)² - 1] + 4 = 0 ⇒ simplify
∴ 9(x -2)² - 36 + 4(y + 1)² - 4 + 4 = 0 ⇒ add the numerical terms
∴ 9(x - 2)² + 4(y + 1)² - 36 = 0 ⇒ add 36 to both sides
∴ 9(x - 2)² + 4(y + 1)² = 36 ⇒ divide both sides by 36
∴ (x - 2)²/4 + (y + 1)²/9 = 1
∵ 4 = 2² and 9 = 3²
∴ (x - 2)²/2² + (y + 1)²/3² = 1
* The standard form of the equation of the ellipse is
(x - 2)²/2² + (y + 1)²/3² = 1
Answer: (x - 2)²/2² + (y + 1)²/3² = 1
Step-by-step explanation:
Please assist me with these problems.
Answer:
c for the question that says what point is on [tex]y=\log_a(x)[/tex] given the options.
9 for the question that reads: "If [tex]\log_a(9)=4[/tex], what is the value of [tex]a^4[/tex].
Step-by-step explanation:
We are given [tex]y=\log_a(x)[/tex].
There are some domain restrictions:
[tex]a \text {is number between } 0 \text{ and } 1 \text{ or greater than } 1[/tex]
[tex]x \ge 0[/tex]
a) couldn't be it because x=0 in the ordered pair.
b) isn't is either for the same reason.
c) \log_a(1)=0 \text{ because } a^0=1[/tex]
So c is so far it! Since (x,y)=(1,0) gives us [tex]0=\log_a(1)[/tex] where the equivalent exponential form is as I mentioned it two lines ago.
d) Let's plug in the point and see: (x,y)=(a,0) implies [tex]0=\log_a(a)[/tex].
The equivalent exponetial form is [tex]a^0=a[/tex] which is not true because [tex]a^0=1 (\neq a)[/tex].
If [tex]\log_a(9)=4[/tex]. then it's equivalent exponential form is: [tex]a^4=9[/tex].
Guess what it asked for the value of [tex]a^4[/tex] and we already found that by writing your equation [tex]\log_a(9)=4[/tex] in exponential form.
Note:
The equivalent exponential form of [tex]\log_a(x)=y[/tex] implies [tex]a^y=x[/tex].
Can someone help me with this! I don’t understand
Answer:
B
Step-by-step explanation:
We are given:
[tex]y=4x[/tex]
[tex]2x^2-y=0[/tex]
We are going to put 4x in place of the second y since the first y equaled it:
[tex]2x^2-4x=0[/tex]
So we can factored this equation:
[tex]2x(x-2)=0[/tex]
This implies 2x=0 or x-2=0.
2x=0
Divide both sides by 2:
x=0
x-2=0
Add 2 on both sides:
x=2
If x=0 and y=4x, then y=4(0)=0 so we have (0,0) is an intersection.
If x=2 and y=4x, then y=4(2)=8 so we have (2,8) is an intersection.
Answer:
the answer to the problem given is b
Find the coefficient to the x4 term in the expansion of (x + 4) 6.
Answer:
240
Step-by-step explanation:
The x^k term will be ...
(6Ck)(x^k)(4^(6-k))
For k=4, this is ...
(6C4)(x^4)(4^2) = 15·16·x^4 = 240x^4
The coefficient of x^4 is 240.
_____
nCk = n!/(k!(n-k)!)
Answer the following questions, using the chart and graph from above (see attached).
c. What type of patterns do you notice? Explain
Answer:
f(x) appears to be match the trig function sin(x)
Step-by-step explanation:
The function is an odd function that is periodic with a period of 2π. It is symmetrical about either of ±π/2. It matches sin(x) in every detail shown.
Identify the area of ⊙M in terms of π. HELP ASAP!!
Answer:
A = 196 pi m^2
Step-by-step explanation:
The area of a circle is given by
A = pi * r^2
The radius is 14
A = pi *14^2
A = 196 pi m^2
Answer:
196π m2
Step-by-step explanation:
In a right triangle the lengths of the legs are a and b. Find the length of the hypotenuse, if: a=3/7, b=4/7
Answer:
5/7
Step-by-step explanation:
We need the Pythagorean Theorem here.
If you have a right triangle, you can use the equation a^2+b^2=c^2 where a and b are legs and c is the hypotenuse.
Plug in your information.
(3/7)^2+(4/7)^2=c^2
Simplify what you can.
9/49+16/49=c^2
25/49=c^2
Square root both sides.
5/7=c
Answer:
5/7.
Step-by-step explanation:
Let the hypotenuse = h , then:
h^2 = (3/7)^2 +(4/7)^2 ( By the Pythagoras Theorem).
h^2 = 9/49 + 16/49
h^2 = 25/49
h = 5/7.
Evaluate the expression if a = 4 , b = 9. and c = 1. A. –27 B. –9 C. 9 D. 27
(thanks :)))))))))) )
Answer:
I don't know if you want to find this answer using the quadratic formula or not, the question is no the greatest but i will solve it the best that i can. Or
Step-by-step explanation:
I used the discriminant which is √[tex]b^{2}[/tex]-4ac
Then I filled the numbers in, and found that 9 gets plug in for b and this becomes 9 squared, and that becomes 81. 4 is multiplied to 4 and 1 and becomes 16. Then 81 and 16 are subtracted and we get 65. We then find the square root, and will find that the answer is C.
Hoped this helped thanks, if you need more help let me know.
The required value of the given expression is (-9). which is the correct answer would be an option (B).
What is the quotient?A quotient is defined as when dividing one number by another, the result is called the quotient.
To determine the value of the expression.
The given expression is given in the question.
⇒ 3b ÷ c⁽¹⁻ᵃ⁾
Here a = 4, b = 9, and c = 1
Substitute the value of a,b, and c in the expression
⇒ 3(9) ÷ (1)⁽¹⁻⁴⁾
⇒ 27 ÷ (1)⁽¹⁻⁴⁾
⇒ 27 ÷(1)⁽⁻³⁾
Reciprocal the term in the denominator,
⇒ 27 × (1 /(-3)
⇒ 27/(-3)
Apply the division operation,
⇒ (-9)
Therefore, the required value of the given expression is (-9).
Hence, the correct answer would be an option (B).
Learn more about quotient here:
brainly.com/question/27796160
#SPJ2
The question seems to be incomplete the correct question would be
Evaluate the expression if a = 4, b = 9, and c = 1.
3b ÷ c⁽¹⁻ᵃ⁾
A. –27 B. –9 C. 9 D. 27
Mayra did not have a date on a Friday night so she decided to mix solutions that she obtained from her garage. She has 9 liters of a 4% -saline solution that must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
Let [tex]x[/tex] be the number of liters of the 10% solution she needs to use. She'd end up with a 6% solution with a volume of [tex]9+x[/tex] liters. The starting solution contains 0.04*9 = 0.36 liter of salt. Each liter of the 10% solution contributes 0.1 liter of salt, so that
[tex]0.36+0.1x=0.06(9+x)[/tex]
Solve for [tex]x[/tex]:
[tex]0.36+0.1x=0.54+0.06x[/tex]
[tex]0.04x=0.18[/tex]
[tex]x=4.5[/tex]
so Mayra needs to add 4.5 liters of the 10% solution.
A regular hexagonal prism has a height of 12 cm and base edge length of 10 cm. Identify its lateral area and surface area.
L = 620 cm2 ; S = 942.6 cm2
L = 720 cm2 ; S = 1239.6 cm2
L = 720 cm2 ; S = 1759.2 cm2
Answer:
L = 720 cm² ; S = 1239.6 cm²
Step-by-step explanation:
The area of a hexagon is given by the formula ...
A = (3/2)√3·s²
where s is the side length. Then the area of the two hexagonal bases will be ...
base area = 3√3·(10 cm)² ≈ 519.6 cm²
__
The lateral area is the product of the perimeter of the base and the height of the prism:
L = 6×(10 cm)×(12 cm)
L = 720 cm²
The totals surface area is the sum of lateral area and base area:
S = L + base area = (720 +519.6) cm²
S = 1239.6 cm²
Answer:
L = 720 cm2 ; S = 1239.6 cm2
Step-by-step explanation:
Got lucky ('<')
The director of a daycare center noticed that the infants were getting more diaper rashes than usual in the summer time. The policy of the center was to change the diapers on a schedule every three hours. The director wanted to find out if adjusting the diaper-changing schedule to every two hours would significantly reduce the number of diaper rashes. Since some of the infants seemed to have more sensitive skin, she decided to directly compare the number of diaper rashes for each individual infant when the diaper was changed every three hours versus every two hours. For the first week, the daycare center changed the diapers as usual every three hours and noted the number of days that each infant had symptoms of a diaper rash. During the second week, the teachers changed diapers every two hours and recorded the number of days with symptoms of a diaper rash. At the end of the two weeks, they compared for each individual infant the number of days with symptoms of a diaper rash when the diapers were changed every three hours versus every two hours.Let μ 1 and μ 2 represent the mean number of days with symptoms of a diaper rash when diapers were changed every three hours and two hours, respectively, and let μ d be the mean of the differences in thenumber of days with symptoms of a diaper rash (diaper rash days when changed every three hours minus diaper rash days when changed every two hours).What is the appropriate null and alternative hypotheses?
Answer:
Let μ1 and μ2 represent the mean number of days with symptoms of a diaper rash when diapers were changed every three hours and two hours, respectively.
Let μd be the mean of the differences in the number of days with symptoms of a diaper rash.
The null hypothesis and alternative hypotheses are two mutually exclusive things about any population. The null hypothesis is that, which is to be actually tested but an alternative hypothesis gives an alternative to the null hypothesis.
Here the appropriate null and alternative hypotheses will be :
H0: μd=0 (null)
Ha: μd>0 (alternative)
This given study is a matched pair design study, so we are using μd : the mean of the differences.
Also, here we are testing if the number of diaper rashes are more when they are changed every 3 hours than 2 hours. This is why we chose the above hypothesis H0: μd = 0 and Ha: μd > 0.
Answer:
Let μ1 and μ2 represent the mean number of days with symptoms of a diaper rash when diapers were changed every three hours and two hours, respectively.
Let μd be the mean of the differences in the number of days with symptoms of a diaper rash.
The null hypothesis and alternative hypotheses are two mutually exclusive things about any population. The null hypothesis is that, which is to be actually tested but an alternative hypothesis gives an alternative to the null hypothesis.
Here the appropriate null and alternative hypotheses will be :
H0: μd=0 (null)
Ha: μd>0 (alternative)
This given study is a matched pair design study, so we are using μd : the mean of the differences.
Also, here we are testing if the number of diaper rashes are more when they are changed every 3 hours than 2 hours. This is why we chose the above hypothesis H0: μd = 0 and Ha: μd > 0.
What is the area of a rectangle with a length of 3 cm and a width of 4.5 cm?
A) 1.5 cm squared
B) 6.75 cm squared
C) 7 cm squared
D) 13.5 cm squared
(PLEASE EXPLAIN HOW YOU GOT THE ANSWER)
D) 13.5 cm squared (13.5 cm²)
Step-by-step explanation:In this question, it's asking you to find the area of the rectangle.
In order to solve this question, we need to use the helpful information that the question gives us.
Important Information:
Length is 3 cmWidth is 4.5 cmWith the information above, we can solve the problem.
To find the area of the rectangle, we would need to multiply the length times the width.
length × width (or l × w)
We know that the length is 3 and the width is 4.5, so we would multiply 3 and 4.5 in order to get the area of the rectangle.
[tex]3 * 4.5=13.5[/tex]
When you're done multiplying, you should get 13.5. With the unit, it would be 13.5 cm² (area of a rectangle is always squared).
This means that the area of the rectangle is 13.5 cm²
I hope this helped you out.Good luck on your academics.Have a fantastic day!