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make sure your calculator is in Degree mode.
Related Questions
Write the first 6 terms of an arithmetc sequence if the first number is 9 and the common diffrence is 5
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Given f(x)=x2+14x+40 .
Enter the quadratic function in vertex form in the box.
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f(x)=x2+14x+40 => f(x)=x^2+14x+40
Next, complete the square:
f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9
Write this in the form y = (x+7)^2 - 9 or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9
In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
for the function d(x)=7x^3 - 6x^2 what is the vaule of d(4)
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d (x) = 7x ^ 3 - 6x ^ 2
We evaluate the function for x = 4.
We have then:
d (4) = 7 * (4) ^ 3 - 6 * (4) ^ 2
Rewriting we have:
d (4) = (4 ^ 2) * (7 * (4) - 6)
d (4) = 352
Answer:
the vaule of d (4) is:
d (4) = 352
hELPP
A total of 300 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adults tickets sold. How many adult tickets were sold?
Answers
225 Students
You can get this information using this system of equations:
x + y = 300
x - 3y = 0
By setting up and solving an equation, it was determined that 75 adult tickets were sold for the school play.
To solve the problem of determining how many adult tickets were sold for the school play, we can set up an equation. Let's represent the number of adult tickets sold as A, and since the number of student tickets sold was three times that of adult tickets, we can express the student tickets sold as 3A. We know the total tickets sold were 300, so the equation to represent this scenario is:
A + 3A = 300
Combining like terms, we get:
4A = 300
Dividing both sides of the equation by 4 to solve for A gives us:
A = 300 / 4
A = 75
Therefore, 75 adult tickets were sold.
write an inequality for the following situation
No more than 8 books are in your bag
A. x ≤ 8 B. x < 8 C. x ≥ 8 D. x > 8
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Christine runs 7 miles in 60 minutes. at the same rate, how many miles would she run in 24 minutes?
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[tex] \frac{7 miles}{60 min} = \frac{x miles}{24 min} [/tex]
Now we are going to cross-multiply and solve for x.
60x = 7(24)
60x = 168
x = 168 / 60
x = 2.8
Christine runs 2.8 miles in 24 minutes.
Christine would run approximately 2.8 miles in 24 minutes at the same rate she runs 7 miles in 60 minutes.
Explanation:To find out how many miles Christine would run in 24 minutes, we can set up a proportion. We know that Christine runs 7 miles in 60 minutes, so we can write the proportion as:
7 miles / 60 minutes = x miles / 24 minutes
Now, we can cross-multiply and solve for x:
7 * 24 = 60 * x
168 = 60x
x = 168 / 60
x ≈ 2.8 miles
So, her speed would be 7/60 = 0.1167 miles per minute. Now, to find out the distance she would cover in 24 minutes at this speed, we multiply her speed per minute by 24 minutes. So, 0.1167 * 24 = approximately 2.8 miles. Therefore, at the same rate, Christine would run about 2.8 miles in 24 minutes.
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WILL GIVE BRAINLIEST!!!! PLZ HELPPP!!!Which equation is the BEST fit for the data in the graph?
A) y = (1/4)x
B) y = (-1/4)x
C) y = (1/4)x-1
D) y = (1/4)x - 1
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Hope this helps!
Use Euler’s Formula to find the number of edges in a polyhedron with seven faces: two pentagons and five rectangles.
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To determine the number of edges in a polyhedron with seven faces, two being pentagons and five being rectangles, you apply Euler's formula, resulting in a total of 15 edges.
To find the number of edges in a polyhedron with seven faces using Euler's formula, which is V - E + F = 2, we first need to determine the number of vertices (V) and faces (F) of the polyhedron.
Given that the polyhedron has two pentagons and five rectangles, we can calculate the total number of vertices. Each pentagon has 5 vertices and each rectangle has 4, but since rectangles share sides, some vertices will be counted twice.
Therefore, for the rectangles, we should calculate the vertices as if there were four distinct ones and then subtract the overlaps. Assuming all rectangles share exactly one side with its adjacent, we would have 4 vertices for each rectangle minus 2 for each shared side, resulting in 2 vertices per rectangle.
With five rectangles, that's 10 vertices, plus the 10 from the two pentagons, we get 20 vertices in total. Now, we apply Euler's formula: V - E + F = 2, substituting the values:
E = V - F + 2
E = 20 - 7 + 2
E = 15
Therefore, the polyhedron has 15 edges. .
Which of the following terms correctly describe the figure given below? Check all that apply.
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I think its Polyhedron, pyramid, solid.
Answer:
Hence, the correct options are Polyhedron, Pyramid and Solid
Step-by-step explanation:
According to the options, we have,
1. Polyhedron is a solid figure in three dimensions having polygons as its faces along with sharp vertices and straight edges.
So, we can see that the given figure have polygonal faces with sharp vertices and straight edges.
Thus, it is a polyhedron.
2. Polygon is a closed two dimensional figure bounded by straight lines.
But, the given figure is not a 2-D figure and so is not a polygon.
3. Prism is a polyhedron with polygons as its faces along with a second base which is a translated copy of the first base.
Since, the given figure is a polyhedron but it does not have a second base which is a translated copy of the first base.
So, the given figure is not a prism.
4. Pyramid is 3-D figure having triangular outer surfaces converging to single point with polygonal base.
As, we can see that the given figure have polygonal base and triangular sides converging to a point.
So, the given figure is a pyramid.
5. Cube is a 3-D figure with all the six faces as squares.
But, the given figure does not have square faces and so is not a cube.
6. Solid is a figure having three dimensions.
Since, the given figure does have three dimensions.
So, it is a solid.
Hence, the correct options are Polyhedron, Pyramid and Solid.PLEASE HELP!
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
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Simplify -62 ÷ 12 - 2(-7).
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To simplify -62 ÷ 12 - 2(-7), evaluate the expression inside the parentheses first, then perform the division and subtraction.
Explanation:To simplify the expression -62 ÷ 12 - 2(-7), we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) in this case. First, we need to evaluate the expression inside the parentheses: 2(-7) = -14. Then, we perform the division: -62 ÷ 12 = -5. Finally, "we subtract: -5 - (-14) = -5 + 14 = 9".
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100 points! Evaluate the equation. Look at the picture. Do #7.
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There are 210 ways to choose 6 from a group of 10.
What percent of data set is represented in Q1
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Amanda owns a clothing store that sells graphic t-shirts. n is the number of shirts she sells each month. the revenue function of her store is r = 25n. the cost function of her store is c = 10n + 900. using your calculator, what is the break-even point of amanda's store?
Answers
[tex]25n=10n+900[/tex]
[tex]25n-10n=900[/tex]
[tex]15n=900[/tex]
[tex]n=60[/tex]
The break-even point is attained when n equals 60.
Answer:
n = 60 shirts
Step-by-step explanation:
The break-even point is the point where revenue is equal to cost. This means we take the equation for revenue, r = 25n, and set it equal to the equation for cost, c = 10n + 900:
25n = 10n + 900
Subtract 10n from each side:
25n - 10n = 10n + 900 - 10n
15n = 900
Divide both sides by 15:
15n/15 = 900/15
n = 60
Maggie only wore sandals tracker on two of the days that she trained so from her fitness trackers she verified that on the third day she biked 20 miles and on the eighth day she biked 35 miles use these two data points to determine the equation of the line best of fit set for Maggie’s data
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To relate our two point we are going to use the slope formula: [tex]m= \frac{x_{2}-x_{1}}{y_{2}-y_{1}} [/tex]
We can infer form our points that [tex]x_{1}=3[/tex], [tex]y_{1}=20[/tex],[tex]x_{2}=8[/tex], and [tex]y_{2}=35[/tex]. so lets replace those values in our slope formula:
[tex]m= \frac{35-20}{8-3} [/tex]
[tex]m= \frac{15}{5} [/tex]
[tex]m=3[/tex]
Now that we have the slope, we can use the point-slope formula determine the equation of the line that best fit the set for Maggie’s data.
Point-slope formula: [tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]y-20=3(x-3)[/tex]
[tex]y-20=3x-9[/tex]
[tex]y=3x+11[/tex]
We can conclude that the equation of the line that best fit the set for Maggie’s data is [tex]y=3x+11[/tex].
The number N is the produce of the first 1000 positive integers and can be written as 1000!.We say "1000 factorial."This is, N=1000!=1000x999x998x997x...x3x2x1.N is divisible by 5, 25, 125, 625,...Each of these factors is a power of 5.That is 5=5^1, 25=5^2, 125=5^3,625=5^4, and so on. Determine the largest power of 5 that divides N.
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Therefore, the total sum is 5^(200+40+8+1) = 5^249. Therefore, the largest N = 249.
An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. What is the probability that the artist chosen will be a sculptor or a photographer?
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The probability is 8/18 or 44%.
Since there are 3 sculptors and 5 photographers, and the question is asking for either a sculptor or photographer, you add them together. There are a total of 18 artists, and the probability is the chance of a certain thing happening over the total amount of things that can happen (i.e. a coin landing on heads is 50%).
The answer would be 8/18.
3+5=8
18 is the total number of artists.
On Monday, there was no snow on the ground in Buffalo, New York. On Tuesday, three inches of snow fell.On Wensday a half an inch of snow melted. On Thursday two and a half more inches fell. On Friday another inch and a half melted. How much snow was left on the ground Friday night.
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Monday- 0 in.
Tuesday- 3 in.
Wedsnday- 2 1/2 in.
Thursday- 5 in.
Friday- 3 1/2 in.
Therefore, the answer is - 3 1/2 inches of snow was left on Friday.
Hope this helps you!
~DL
What is y+7/7y÷3y^2+21y/14y−5 simplified?
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[(y+7)/7y] x [(14y-5)/(3y^2+21y)]= [(y+7)/7y] x [(14y-5)/3y(y+7)]= [1/7y] x [(14y-5)/3y]= [(14y-5)/21y]
What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?
answer in terms of pie
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v = πr²
v = 22/7 x 21²
v = 1385.441 cm³
Two large numbers of the Fibonacci sequence are F61 = 2,504,730,781,961 and F62 = 4,052,739,537,881. If these two numbers are added together, what number results?
A. F123
B. F60
C. F63
D. F64 - 1
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A line of best fit predicts that when x equals 35, y will equal 34.785, but actually equals 37. What is the residual in this case?
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Residual Value = Observed Value– Predicted Value
in this problem
Observed Value=37
Predicted Value=34.785
Residual Value = 37-34.785------> 2.215
positive values for the residual (on the y-axis) mean that the prediction was too low
the answer is
2.215
What happens to correlation if you multiply every x in the data set by .5?
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Of the following options, what could be a possible first step in solving the equation −7x − 5 = x + 3?
Adding 7x to both sides of the equation
Subtracting 5 from both sides of the equation
Adding x to both sides of the equation
Combining like terms, −7x + x = − 6x
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Subtracting 5 from both sides wouldn't cancel anything out, adding x to both sides wouldn't cancel anything out, and you can't combine like terms on either side of the equation.
add 7x to both of the sides
A fair number cube with sides labeled from 1 to 6 is rolled 20 times. the results of the simulation are shown in a dot plot. which dot plot models an unfair data-generating process?
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The dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.
What is dot plot?A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.
Since the width of each "bar" of dots is equal to the number of items in a certain class, a dot plot is similarly to a bar diagram.
We have:
A fair number cube with sides labeled from 1 to 6 is rolled 20 times.
Total number on, a fair number of cubes = 6
So the dot plot can be shown as:
1:4, 2:4, 3:0, 4:4, 5:4,6:4
There is a face with 3 has not rolled.
Thus, the dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.
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A pizza shop offers 12 different topping choices. if you order a large pizza with two toppings, how many possibilities would you have?
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The number of combinations of 12 things take 2 at a time is
12C2
=(12!)/[(12-2)!2!]
=(12!)/(10!*2!)
=12*11/2
=66
Answer: 66
Explaining Factored Form The trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. What is the relationship between the values of m and n? Explain.
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Sample Response: The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.
(on the assignment)
How to find the shaded region of a circle with a rectangle inside?
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a vertical pole 10 meters high, casts a shadow 8 meters long. at the same time, a nearby tree casts a shadow 40 meters long. find the height of the tree in meters
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1. You have the following information given in the problem above:
- The vertical pole is10 meters high and casts a shadow 8 meters long.
- The tree casts a shadow 40 meters long.
2. Then, by similarity, you have:
x/10=40/8
8x=(10)(40)
8x=400
x=400/8
x=50 meters
3. Therefore, as you can see, the answer is: The height of the tree is 50 meters.
A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. Another flower is then chosen at random and given to a different woman. What is the probability that both flowers are pink roses?