The correct answer will get brainliest!
Find the 3 smallest positive x-intercepts of the graph of
y = cos(12x) + cos(16x) and list them in increasing order.
Please give your answers as a list of x-coordinates from least to greatest.
Recall that \(\cos(x)+\cos(y)=2\cos \left(\frac{x+y}{2} \right)\cos \left(\frac{x-y}{2} \right)\).
\(\cos(12x)+\cos(16x)=0 \\ \\ 2\cos(2x)\cos(14x)=0 \\ \\ \cos(2x)\cos(14x)=0\)
If \(\cos(2x)=0\), then \(x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \cdots\).
If \(\cos(14x)=0\), then \(x=\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}, \cdots\).
So, the three smallest positive \(x\) intercepts are \(\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}\).
Write a sum, difference, product and quotient whose answers could all have an estimate of about 6. One expression should include only mixed numbers, one expression should include only decimals, one expression should include only negative rational numbers, and one expression should include only a positive complex fraction.
Answer:
3+1+2
10-4
3÷2
2 × 3
(geometry) This zigzag crystal vase has a height of 12 inches. The cross sections parallel to the base are always rectangles that are 5 inches wide by 4 inches long.
(a) If we assume the crystal itself has no thickness, what would be the volume of the base?
(b) The crystal is actually half an inch thick on each of the sides and on the bottom. Approximately how much space is contained within the vase?
Answer:
A. 9
B. 7
Step-by-step explanation:
a) The volume of the base of the crystal is 240 inches³
b) The space contained by the vase of the crystal is 24 inches³
What is the volume of a Cuboid?A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The volume of a cuboid is the product of its length , width and height
The volume of the cuboid is given by
Volume of Cuboid = Length x Width x Height
Given data ,
(a) Since the cross sections are always cuboids that are 5 inches wide by 4 inches long, the area of each cross section is 5 x 4 = 20 square inches. Since the vase has a height of 12 inches, the volume of the vase is equal to the product of the area of the base and the height, which is 20 x 12 = 240 cubic inches.
(b) If the crystal is half an inch thick on each of the sides and on the bottom, then the dimensions of each cross section are 5 inches by 4 inches by 1 inch (since each side of the crystal adds half an inch to the length and width of the rectangle). The volume of each cross section is therefore 5 x 4 x 1 = 20 cubic inches.
However, since the crystal takes up half an inch on each side, the actual space contained within the vase is reduced by 2 x (5 + 4 + 0.5 + 0.5) x 12 = 216 cubic inches (where 5 + 4 is the sum of the lengths and widths of the rectangle, and 0.5 + 0.5 is the thickness of the crystal on each side).
Hence , the approximate space contained within the vase is 240 - 216 = 24 cubic inches
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Please help me I'm stressed and this is due tomorrow...:((
Answer:
A
Step-by-step explanation:
The line starts at 24 and ends with 34. The box starts at 25 and 32. The line in the middle shows 31.
Which set of ordered pairs represents a function? (1 point)
A) {(0, 1), (1, 3), (1, 5), (2, 8)}
B){(0, 0), (1, 2), (2, 6), (2, 8)}
C) {(0, 0), (0, 2), (2, 0), (2, 4)}
D) {(0, 2), (1, 4), (2, 6), (3, 6)}
Answer:
The very last set
{(0, 2), (1, 4), (2, 6), (3, 6)}.
The reason why is because of the vertical line test. If there are two y-coordinates on a x-coordinate then it is not a function. A function is that each x-coordinate has a y-coordinate with the x-coordinates being different.
Example is above. If you have any questions then leave a comment. Good luck!
Step-by-step explanation:
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community
whice model represent cutting 40% of the ribbion
Answer: Model B
Step-by-step explanation: Model B, shows the cutting of 40% of the ribbon since, if you divide it into 10 parts, with each piece representing 10%, if you take away 4 of those parts, which is equal to 40%. So it is Model B.
what is x + 5 < 6 ? PLEASE HELP!! WILL GIVE 15 POINTS
Answer:
x < 1
Explanation:
→ x + 5 < 6
subtract both sides by 5
→ x + 5 - 5 < 6 - 5
simplify the following
→ x < 1
help meeeeeeeeeeeeeee
Answer:
Neither
Step-by-step explanation:
Congruent means the triangles are equal. One is a right triangle (to the left) and the other is not. They cannot be congruent.
Similar means, well, similar!
The expression 2x + 4x represents the cost of buying the same number of cases of spring water, sold for $2 per case, and sparkling water, sold for $4 per case. What expression can be used to express the total cost?
Answer: 2x + 4x = (2 + 4)x = 6x
Step-by-step explanation:
The expression 2x + 4x represents the cost of buying the same number of cases of spring water and sparkling water. To express the total cost, we need to add the cost of buying the two types of water.
Since the expression 2x represents the cost of buying x cases of spring water, and 4x represents the cost of buying x cases of sparkling water, the total cost can be expressed as:
2x + 4x = (2 + 4)x = 6x
Therefore, the total cost of buying x cases of spring water and sparkling water can be expressed as 6x.
Alternatively, you can think of it as buying x cases of spring water at a cost of 2x dollars and x cases of sparkling water at a cost of 4x dollars. So the total cost is (2x+4x) dollars which is 6x dollars.
- C
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Based on the scatter plot below, which is a better prediction for x when y = 64?
Answer: I think the best answer would be 92.
I'm so sorry if i'm wrong!!
i really need help please
Answer: -10, -7, -5, -3, -2.1, -2.01, -2.001.
Step-by-step explanation: The numbers you need to pick, have to be less than -2. -10, -7, -5, -3, -2.1, -2.01, and -2.001, are less than 2. -2, -1.999, -1.99, -1.9, -1, 1, 3, and 6, are all greater than 2, so they won't fit the equation.
I need help with this question, I'm not very good at math and all help is appreciated!
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
\(\frac{J}{H} = G + \frac{I}{H}\) >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
\(\frac{J}{H}- \frac{I}{H} = G\) >There is a common denominator so you can
combine the fractions
\(\frac{J-I}{H} = G\) >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
\(J-I = G(H)\) >Divide both sides by G
\(\frac{J-I}{G} = H\) >Answer is A
I need help on these 5 questions:
Step-by-step explanation:
(2x-3)² - (4x+1)(x − 4)
4x² - 12x + 9 - 4x² - 16x + x - 4
group like terms
4x² - 4x² - 12x+x+9-4
-11x + 5
Carson wrote the expression shown below. 5(y + 2) Write an expression that is equivalent to Carson’s expression.
Answer: 5y+10
Use the distributive property and multiply 5 x y and 5 x 2
A Hawaiian monk seal dives to a depth of -4.13 meters. By how many meters does it need to change his position to get back to sea level?
!!!!!!!!!!!!
Answer:
4.13 meters
Step-by-step explanation:
If he is -4.13 meters below sea level, he need 4.13 meters to get back to sea level
Answer a and b and explain how you did it for 25 points and brainest. Answer has to be correct.
Answer:
Step-by-step explanation:
b. 2.5 inches. 20/8=2.5
a. 10.125 inches. 81/8 = 10.125
The answer for a) is 10.125 inch and b) is 2.5 inch, 1.875 inch
What is an inch?Inch is a unit of linear measure equal to one twelfth of a foot (2.54 cm).
a) According to the question the real time length of the court is 81 ft
But from the question 1 inch in diagram is equal to 8 ft
So, 81/8=10.125
Thus the entire length of the court if it is 81 ft in real life is 10.125 inch
b) According to the question the real time length and width of receiver A is 20ft and 15ft
So, in diagram it could be in
length is 20/8 = 2.5 inch
width is 15/8 = 1.875 inch
Thus the length and width of receiver A is 2.5 inch, 1.875 inch
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1/2 Divided by 2 what is the answer
Which measure of central tendency BEST represents the data shown in the distribution?
A.) median
B.) all three
C.) mean
D.) mode
Answer:
D.) Mode
Step-by-step explanation:
It best represents the data as it has the highest value in the distribution. All other measures of central tendency have lower values in the data.
Sorry if Im wrong
Please help me outtttt
Rewrite the rational exponent as a radical expression (3 raised to 2/3) 1/6
Write the main features of the right-angled triangle and list some of its properties.
Answer: A right angle is also equal to 90 degrees The sides that include the right angle are perpendicular and the base of the triangle. The third side is called the hypotenuse, which is the longest side of all three sides.
Find the volume of a prism. Show your work.
Answer:
Step-by-step explanation:
11 times 22
the area of its cross-section multiplied by the length
answer: 242cm squared
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Mr. Ledger buys a box of 24 donuts for a lesson in his math class about circumference.
Write an equation for the number of donuts y that are left at the end of the day when x donuts are used during the lesson.
Last year, Mr. Ledger used 18 donuts during the lesson. This year, he used 22 donuts.
Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.
Answer:
donuts L that are left at the end of the day when U donuts are being used during the day: y=24-x. You minus x, the # of donuts being used from 24, the total amount of donuts. To get your y.
Step-by-step explanation:
*PLEASE ANSWER* Compare the volume of these two shapes,given their radii and heights are the same .
Answer:
The correct option is;
Left object volume = right object volume
Step-by-step explanation:
The shapes given in the question are two circular cones that have equal base radius and equal height
The formula for the volume, V of a circular cone = 1/3 × Base area × Height
The base area of the two shapes are for the left A = π·r², for the right A = π·r²
The heights are the same, therefore, the volume are;
For the left
\(V_{left}\) = 1/3×π·r²×h
For the right
\(V_{right}\) = 1/3×π·r²×h
Which shows that
1/3×π·r²×h = 1/3×π·r²×h and \(V_{left}\) = \(V_{right}\), therefore, the volumes are equal and the correct option is left object volume = right object volume.
Solve 2(x + 7) = 28
A. x= 10.5
B. x= 14
C. x=21
D. x=7
PLEASE HELP. URGENT 8TH GRADE MATH QUESTION. GIVING AS MANY POINTS AS I CAN TO THE CORRECT ANSWER. THANK YOU YA'LL ARE LIFE SAVERS