Answer:
38 attendees.
Step-by-step explanation:
Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!
Which function has the graph shown?
OAY COS
B. y -cos.x
● C. yin x
D. y sin (x)
f
The trigonometric function on the graph is:
f(x)= -cos(x)
So the correct option is B.
Which function is the graphed one?Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.
Notice that:
sin(0)= 0
cos(0) = 1
So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:
f(x) = -cos(x)
That is the graphed function.
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what would the constant of proportionality be? If not, explain why.
The equation of proportionality is
y = k x, where k is the constant of proportionality
To check the table is in proportion or not let us find the value of k using each line of data, if all of them give the same value of k, then they are proportional
(5, 85)
85 = k(5)
Divide both sides by 5
17 = k
The value of k = 17
let us check the second line
(10, 79)
79 = k(10)
Divide both sides by 10
7.9 = k
Since k has different values, then
Distance to the listener not proportion with the sound level
There is no constant of proportionality
A desk is 2 meters long and 1 meter wide. The desk needs to be represented in a scale drawing of an office that uses a scale of 1 centimeter = 0.5 meter. What are the dimensions of the desk in the drawing?
Answer:
Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.
Step-by-step explanation:
Scaling
The scale factor established to represent a desk 2 meters long and 1 meter wide is:
1 centimeter = 0.5 meter
We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:
\(\displaystyle \frac{1\ cm}{0.5\ m}\)
to get the scaled dimensions.
The length of 2 meters is scaled to:
\(\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm\)
And the width of 1 meter is scaled to:
\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm
Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.
One firefly flashes every 8 seconds. Another firefly flashes every
10 seconds. Both fireflies just flashed. After how many seconds will
both fireflies flash at the same time again?
Answer:
12 seconds I think
Step-by-step explanation:
that's my answer
4 2/3 + 5 3/8 = ? need answer fast!
Answer:
241gv
Step-by-step explanation:
hope it helps please mark me as brainliest
The sum of two trains is 720.2 miles per hour. If the speed of the first train is 9.8 mph faster than that of the second train,find the speeds of each
Answer:
First train = 365 miles per hour
Second train = 355.2 miles per hour
Step-by-step explanation:
If the speed of the second train is represented by x, then the first train's speed is (x + 9.8)
We can form the following equation:
x + (x + 9.8) = 720.2
2x = 720.2 - 9.8
x = 710.4 / 2
x = 355.2 = speed of second train
Speed of first train = 355.2 + 9.8 = 365
It's Pythagorean theorem
Answer:
6root3
Step-by-step explanation:
Answer:
6 radical 3
Step-by-step explanation:
If and is in , find cos
Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
Place the numbers in order from greatest to least.
-5/2 5.25 1 3/4 -8.345
From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345
How to place the numbersTo sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.
Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.
-5/2 = -2.5
5.25 = 5.25 (no alteration required)
1 = 1.0 (to simplify analysis, only adding decimal points)
3/4 = 0.75
-8.345 = -8.345 (essentially unchanged)
At this point, we can effortlessly contrast and compare the numbers.
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- x + 3y = 11
x - 5y = -17
Ans. (x.y) = ( . )
Answer:
(x,y)=(-2,3)
Step-by-step explanation:
10 POINTS!!!! Which polynomial represents the sum below ?
The answer is in option B.
Answer:
The right answer to this question is B
Write an algebraic expression that represents each purchase.
a. Dr. Lin bought x number of soccer balls and 4 baseballs.
b. Nestor, Felix, Peter, and Hao are on a baseball team. They each bought a baseball and x pairs of sweat socks.
26. Suppose x has the same value in both of the expressions you wrote for 25. Are the two expressions you wrote for 25 equivalent? Explain.
27. Sophia says that the algebraic expression 4
4
5x, where x represents the cost of a baseball, describes the cost of a soccer ball. Do you agree? Explain.
1. An algebraic expression that represents each purchase is as follows:
a) 15x + 24b) 5x + 24.2. Supposing that x has the same value in both expressions written above, the two algebraic expressions are not equivalent because the slope of expression A is greater than the slope of expression B.
3. The cost of a soccer ball in relation to the cost of a baseball cannot be represented by the algebraic expression 4 + 5x because it is given that the cost of a soccer ball is $15, and no number can substitute the x variable to equate the two.
What is an algebraic expression?An algebraic expression is a combination of terms (variables and constants) using the mathematical operations of addition, subtraction, multiplication, division, etc.
a) 15x + 4(6) = 15x + 24
b) 4(6) + 5x = 24 + 5x or 5x + 24
c) Cost of a soccer ball = $15
Cost of a baseball = $6
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Question Completion:Soccer balls = $15 each
Baseballs=$6 each
Sweat socks =$5 per pair
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
Find the 2nd Derivative:
f(x) = 3x⁴ + 2x² - 8x + 4
Answer:
\(f''(x)=36x^2+4\)
Step-by-step explanation:
Let's start by finding the first derivative of \(f(x)= 3x^4+2x^2-8x+4\). We can do so by using the power rule for derivatives.
The power rule states that:
\(\frac{d}{dx} (x^n) = n \times x^n^-^1\)This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.
Another rule that we need to note is that the derivative of a constant is 0.
Let's apply the power rule to the function f(x).
\(\frac{d}{dx} (3x^4+2x^2-8x+4)\)Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.
\(\frac{d}{dx} (3x^4+2x^2-8x+4) = ((4)3x^4^-^1+(2)2x^2^-^1-(1)8x^1^-^1+(0)4)\)Simplify the equation.
\(\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x^1-8x^0+0)\) \(\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8(1)+0)\) \(\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8)\)\(f'(x)=12x^3+4x-8\)Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).
\(\frac{d}{d} (f'x) = \frac{d}{dx} (12x^3+4x-8)\) \(\frac{d}{dx} (12x^3+4x-8) = ((3)12x^3^-^1 + (1)4x^1^-^1 - (0)8)\)Simplify the equation.
\(\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4x^0 - 0)\) \(\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4(1) - 0)\) \(\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4 )\)Therefore, this is the 2nd derivative of the function f(x).
We can say that: \(f''(x)=36x^2+4\)
Answer:
\(y = f(x) = 3 {x}^{4} + 2 {x}^{2} - 8x + 4 \\ \frac{dy}{dx} = 12 {x}^{3} + 4x - 8 \\ \frac{d {}^{2} y}{dx {}^{2} } = 36 {x}^{2} + 4 \\ \boxed{\frac{d {}^{2} y}{dx {}^{2} } = 4(9 {x}^{2} + 1)}\)
f"(x)= 4(9x^2+1)Can someone help with this question?✨
The equation of the line that is perpendicular with y = 4 · x - 3 and passes through the point (- 12, 7) is y = - (1 / 4) · x + 4.
How to derive the equation of a line
In this problem we find the case of a line that is perpendicular to another line and that passes through a given point. The equation of the line in slope-intercept form is described below:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.In accordance with analytical geometry, the relationship between the two slopes of the lines are:
m · m' = - 1
Where:
m - Slope of the first line.m' - Slope of the perpendicular line.If we know that m = 4 and (x, y) = (- 12, 7), then the equation of the perpendicular line is:
m' = - 1 / 4
b = 7 - (- 1 / 4) · (- 12)
b = 7 + (1 / 4) · (- 12)
b = 7 - 3
b = 4
And the equation of the line is y = - (1 / 4) · x + 4.
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4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18
Answer:
8.33333333333
Step-by-step explanation:
Solution for 3x-7=18 equation:
3x - 7 = 18
3x = 18 + 7
3x = 25 (divide both sides by 3 to get x)
3x/3 = 25/3
x = 8.33333333333
What is the driving time for a 1800-mile trip if you drive at an average speed of 45 miles per hour? What is the driving time at 69 miles per hour?
Answer:
40 hours
26.09 hours
Step-by-step explanation:
What is the driving time for a 1800-mile trip if you drive at an average speed of 45 miles per hour?
1800 / 45 = 40 hours
What is the driving time at 69 miles per hour?
1800 / 69 = 26.09 hours
Step-by-step explanation:
The driving time for a 1800-mile trip at an average speed of 45 miles per hour can be calculated as
Driving time = Total distance / Average speed
Driving time = 1800 miles / 45 miles per hour = 40 hours
Similarly, the driving time at an average speed of 69 miles per hour can be calculated as:
Driving time = 1800 miles / 69 miles per hour = 26 hours
So if you drive at an average speed of 45 miles per hour, the driving time for a 1800-mile trip would be 40 hours, and if you drive at an average speed of 69 miles per hour, the driving time would be 26 hours.
Karen made 175 quarts of punch for her son and 11.3 quarts for
her daughter. How many quarts of punch did she make in total?
Answer:
186.3 quarts of punch
Step-by-step explanation:
175+11.3=186.3
it asks how much did she make in total so you would need to add the 2 together to get the total
You have a 7-by-5-inch photo of the math club that must be reduced to a size of 4.2 inches by 3 inches for the school yearbook. What percent does the photo need to be reduced to in order for it to fit in the allotted space?
Answer: 64%
Step-by-step explanation:
Given: Size of photo = 7-by-5-inch
Area of photo = 7 x 5 = 35 sq. inches [ Area = Length x width]
Required size = 4.2 inches by 3 inches
Area of required size = 4.2 x 3 =12.6 sq. inches
Area reduced =Area of photo - Area of required size = 35-12.6 =22.4 sq. inches
Percentage of the photo need to be reduced to in order for it to fit in the allotted space
\(=\dfrac{22.4}{35}\times100=64\%\)
Percentage of the photo need to be reduced to in order for it to fit in the allotted space = 64%
H
In ΔSTU, s = 98 inches, t = 92 inches and u=70 inches. Find the measure of ∠U to the nearest 10th of a degree.
Answer: is 43.1
Step-by-step explanation:
15. A triangle has sides of 1 inches, 1 inches, and 1 inches. What is the perimeter of the
triangle?
Answer:
p= a+b+c
Step-by-step explanation:
1+1+1=3 inches
find the perimeter of the Pentagon that circumscribed the circle
The perimeter of the pentagon is the sum of the lengths:
\(P=10+6+8+3+2=29\)Therefore the perimeter is 29 meters.
255.792 in standard form
In the figure, m∠EDF = 42°. Which other angle must have the same measure? A diagram of the inscribed quadrilateral with the points of D, E, F, and G, in which D with an angle of 42 degrees. A. ∠DEG B. ∠EGF C. ∠GDF D. ∠EGD
Therefore, the correct option is B. ∠EGF with the angle measure of 138°.
What is quadrilateral?A quadrilateral is a four-sided polygon with four vertices and four angles. It is a closed figure with four straight sides that do not intersect. Examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses. The sum of the interior angles of a quadrilateral is always 360 degrees.
Here,
In an inscribed quadrilateral, opposite angles are supplementary. That is, the sum of the measures of any two opposite angles is 180 degrees. Therefore, to find the angle that has the same measure as ∠EDF, we need to look for the angle that is also opposite ∠EDF in the inscribed quadrilateral.
In the inscribed quadrilateral with points D, E, F, and G, we know that ∠EDF has a measure of 42 degrees. We also know that the opposite angle to ∠EDF is ∠EGF, because they share side EF.
Since opposite angles in an inscribed quadrilateral are supplementary, we can find the measure of ∠EGF by subtracting 42 degrees from 180 degrees:
∠EGF = 180° - ∠EDF
= 180° - 42°
= 138°
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Evaluate the expression when b= -4.
2
b- + 5b+7
3. If a 35-foot cable were run from the top of the pole and anchored to the ground at a distance from the pole, about how far away from the pole would it be anchored?
The distance from the pole at which the cable is anchored is about 25 feet from the pole .
Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.
Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.
we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.
Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .
Simplifying the above equation
1225 = 1600 - 80ED + ED²
1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0
Factorizing the above quadratic equation
ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)
= 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.
The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.
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Are rhombuses also rectangle?? Explain
Answer:
No, rhombuses are not necessarily rectangles. While both shapes are quadrilaterals with opposite sides parallel, there is an additional requirement for a rectangle that is not present in a rhombus. Specifically, a rectangle must have all interior angles measuring 90 degrees, while a rhombus can have any angle between 0 and 180 degrees.
On the other hand, all rectangles are parallelograms, while not all parallelograms are rectangles. Similarly, all squares are both rhombuses and rectangles, but not all rhombuses or rectangles are squares. In summary, a rhombus is a quadrilateral with four equal sides, while a rectangle is a quadrilateral with four right angles. While there is some overlap between the definitions, they are not equivalent.
Answer:
Rhombuses are not rectangles
Step-by-step explanation:
This is because rhombuses do not have 4 right angles.
A square would be a rectangle because its a quadrilateral with 4 right angles
while a rectangle wouldn't be a square because it doesn't have 4 equal sides
A rhombus is a quadrilateral that has 4 equal sides but doesn't have 4 right angles, making it not a rectangle
Identify the sample space in the following tree diagram
A.) H, T
B.) TTT, TTH, THT, THH, HTT, HTH, HHT, HHH
C.) HHH, THH, TTH, TTT
D.) HT, TH, TT, HT
There are 2 sides per coin, and 3 flips, so 2^3 = 8 total items in the sample space
HHHHHTHTHTHHHTTTHTTTHTTTTracing each branch from left to right will help form the 8 different outcomes. For instance, if you go along the upper most path of the upper tree, then you'll get HHH meaning you got 3 heads in a row. The next branch down would be HHT, and so on.
\((3+\sqrt{7})(3-\sqrt{7})\)
Answer:
The answer should be 2 but it won't let me post it with less than twenty characters so yeah
Kris’s mom is putting up border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How much border will be needed to go all the way around the room? 22 feet 120 feet 42 feet 44 feet
Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w)
In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:
P = 2(l + w) = 2(12 + 10) = 44.
44 feet will be needed to go all the way around the room.
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