Answer:
the missing angle is 46
Answer:
46
Step-by-step explanation:
Write an integer that describe the situation. A decrease of 250 attendees
The integer would be -250, since it is a decrease.
Your best submission for each question part is used for your score.
21. [-/6 Points] DETAILS AUFEXC4 7.5.002.
Find the volume of the figure. For calculations involving, give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
|t³|
The volume of the given figure is 471ft³ if d=10 and h=18.
What is meant by volume?The term 'volume' in mathematics refers to the amount of three-dimensional space occupied by an item or a closed surface. The volume is measured in cubic units such as m3, cm3, in3, and so on. Volume is also referred to as capacity at times. Volume is a measurement of the amount of three-dimensional space that is occupied. It is frequently numerically quantified using SI derived units or different imperial or US customary units. The notion of length is intertwined with the definition of volume.
A cup's volume is 100 ml if it can carry 100 ml of water up to the brim. A 3-dimensional object's volume can alternatively be described as the amount of space it takes up.
Given,
d=10, r=5, h=18
Volume of the cone=(1/3)πr²h
=(1/3)π(5²)(18)
=150π
=471.42ft³
=471ft³
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Find Sn for the following geometric sequences described.
From the question, the sum of each of the geometric sequence are;
1) 31 3/4
2) 340
3) 11/16
4) -6, 12, -24
What is geometric sequence?
We have that;
Sn = a(1 -\(r^n\))/1 - r
Sn = 16(1 \(- (1/2)^7\))1 - 1/2
Sn = 16(1 - 1/128)/1/2
Sn = 16(127/128) * 2
Sn = 31 3/4
2) Un = a\(r^n\) -1
256 = \(4(4)^n-1\)
64 =\(4^n-1\)
\(4^3 = 4^n-1\)
n = 4
Sn= \(4(4^4 - 1)\)/4 - 1
Sn = 340
3) Since we have a5 then n = 5
Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)
Sn = 33/32 * 2/3
= 11/16
4) 30= a(1 -\((-2)^4\))/1 - (-2)
30 = a(-15)/3
30 = -5a
a = 30/-5
a = -6
Then the first three terms are;
-6, 12, -24
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A rectangular garden has a length of 10.25 feet and a width of 6.2 feet. Another rectangular garden has a length of 20.5 feet and a width of 12.4 feet. How many times greater is the area of the larger garden than the area of the smaller garden?
Answer:
3
Step-by-step explanation
help pleaseee && thankssd
Answer:
The answer A, the slope is 1/2.
Y-intercept = (0,-1/2)
Step-by-step explanation:
Hope this helps. :)
Pls mark me as Brainliest
Researchers investigated whether there is a difference between two headache medications, R and S. Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication. Have the conditions been met for inference with a confidence interval for the difference in population means? A Yes, all conditions have been met. B No, because the data were not collected using a random sample. © No, because cause and effect cannot be inferred since there is a random sample No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal. (E) No, because the sample sizes are not the same.
The correct answer is option D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal.Researchers investigated whether there is a difference between two headache medications, R and S.
Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication.To construct a confidence interval, we require that some conditions are satisfied. The assumptions that should be met for inference with a confidence interval for the difference in population means are as follows:The data is independent;The data in each group should be roughly normally distributed;Both groups have the same variance, and each group should have a large enough sample size so that the central limit theorem (CLT) holds. The CLT holds for the difference in the sample means since both samples are taken from a population that is normally distributed. We can also assume that the sample size is large enough to use the t-distribution since each sample has more than 30 observations. As a result, all of the conditions have been met. As a result, we may employ a t-distribution to make inferences about the population difference between the two headache medications.
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A ribbon 4 m long is cut into 8 equal pieces.
What is the length of each piece?
Give your answer as a fraction in its simplest form.
Answer:
1/2 m
Step-by-step explanation:
It is because 4 = 4/1, 8 = 8/1 and 4/1 divided by 8/1 is also equal to 4/1 times by 1/8 which equals 4/8.
4/8 is simplified to make 1/2m
hope this helps mark brainliest
Consider two variable linear regression model : Y = a + Bx+u The following results are given below: EX= 228, EY; = 3121, EX;Y₁ = 38297, EX² = 3204 and Exy = 3347-60, Ex? = 604-80 and Ey? = 19837 and n = 20 Using this data, estimate the variances of your estimates.
The estimated variance of B is 0.000014 and the estimated variance of a is 26.792.
To estimate the variances of the parameter estimates in the linear regression model, we can use the following formulas:
Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)
Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)
Given the following values:
EX = 228
EY = 3121
EXY₁ = 38297
EX² = 3204
Exy = 3347-60
Ex? = 604-80
Ey? = 19837
n = 20
We can substitute these values into the formulas to estimate the variances.
First, let's calculate the estimate for B:
B = (n * EXY₁ - EX * EY) / (n * EX² - (EX)²)
= (20 * 38297 - 228 * 3121) / (20 * 3204 - (228)²)
= 1.331
Next, let's calculate the variance of B:
Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)
= (1 / [20 * 3204 - (228)²]) * (3121² - 2 * 1.331 * 38297 + 1.331² * 3204)
= 0.000014
Now, let's calculate the estimate for a:
a = (EY - B * EX) / n
= (3121 - 1.331 * 228) / 20
= 56.857
Next, let's calculate the variance of a:
Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)
= (1 / 20) * (19837 - 56.857 * 3121 - 1.331 * 38297)
= 26.792
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CHOOSE 1 of 2 of the two identities to prove. sin2x
1−cos2x
= cotx
1
cosy
cos(x−y)cscx
= tanx
1
+tany b) OR 2. Explain the difference between sin(2x),2sin(x) and sin 2
(x).
By starting with the left-hand side and manipulating it using trigonometric identities, we have shown that cos(x - y) cscx is equivalent to tanx / (1 + tany).
I will choose identity 2 to prove:
cos(x - y) cscx = tanx / (1 + tany)
To prove this identity, we'll start with the left-hand side (LHS) and manipulate it until it is equal to the right-hand side (RHS).
LHS:
cos(x - y) cscx
Now, let's express cscx in terms of sinx:
cscx = 1 / sinx
Substituting this into the LHS, we have:
cos(x - y) * (1 / sinx)
Next, let's rewrite cos(x - y) using the cosine difference formula:
cos(x - y) = cosx * cosy + sinx * siny
Substituting this into the LHS, we get:
(cosx * cosy + sinx * siny) * (1 / sinx)
Simplifying, we have:
cosx * cosy / sinx + sinx * siny / sinx
Now, we can simplify further:
cosx * cosy / sinx + siny
Finally, let's express cosx/sinx as cotx and combine the terms:
cotx * cosy + siny
Now, let's express siny as tany / (1 + tany):
cotx * cosy + tany / (1 + tany)
This expression matches the RHS, so we have proved the identity:
cos(x - y) cscx = tanx / (1 + tany)
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What is the best prediction for the number of times the spinner will not land on an elephant?
We might estimate that 0.8n is the approximate prediction number of times it won't land on the elephant.
We need to know the likelihood that the spinner will land on an elephant as well as the total number of spins in order to anticipate the number of times it won't.
Assume the spinner contains five equal parts, one of which is decorated with an elephant. The likelihood of the spinner touching the elephant is then 1/5, or 0.2.
If we know the total number of spins, we can use the likelihood that the spinner will fall on an elephant to calculate the likelihood that it won't. 1 - 0.2 = 0.8 is the probability that the spinner will miss the elephant.
Hence, if we suppose that the spinner is spun n times, we may estimate that 0.8n is the approximate number of times it won't land on the elephant. The prediction of probability of the spinner landing on the elephant is assumed to be constant for each spin and that each spin is independent of the others.
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What type of conic section is defined by the equation?
so in the template above for a conic, the defining components are the coefficients A and C
If either A=0 or C=0, then the equation is a parabola
if A=C, then we have a Circle
if either A or C is negative, and A≠C, then we have a hyperbola
if A and C are both positive or both negative, and A≠C, then we have an ellipse.
Write two expressions that are equivalent to 4.8n-5.
please help
Answer:
Well, since your answer is 4.8n-5, It could be 2+2.4+4n.3+2
Step-by-step explanation:
it's probably wrong but I'm only doing this for points so get rekt
Step-by-step explanation:
just for points
The two expressions can be -5 + 4.8 n and 4.8n + (-5).
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
4.8n-5.
We can write the expression as
-5 + 4.8 n
or, using the integers
4.8n + (-5)
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pls help, it is due now. Thank You so much to whoever helps!
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
a rectangular room twice as long as it is wide would contain 145 square feet more if each side were one foot longer. what is the length of the room?
The length of the room will be 96 ft after increasing each side by 1 foot.
Let L be the length of the room and W be the width of the room.
Given , L = 2W.
Area , A = LW
= 2W × W
= 2W²
On increasing each side by 1 foot, new area is A' = (L + 1)(W + 1)
= (2W + 1)(W + 1)
= 2W² + 3W + 1
Since, the room would contain 145 ft more if each side were increased by 1 foot, then its new area is A' = A + 145 = 2W² + 3W + 1
2W² + 145 = 2W² + 3W + 1
145 = 3W + 1
3W = 145 - 1
3W = 144
W = 144/3
W = 48 ft.
Since its length L = 2W, substituting W = 48 into the equation, we have
L = 2(48)
L = 96 ft
Therefore the length of the room will be 96 ft.
The area of a rectangle in a two-dimensional plane is the area that it occupies. A quadrilateral, a form of two-dimensional object with four sides and four vertices, is what a rectangle is. The rectangle's four angles are all right angles or exactly 90 degrees. The rectangle's opposing sides are equal and parallel to one another. It should be noted that a parallelogram also has equal and parallel opposite sides, but the angles are not exactly 90 degrees.
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Please help me ASAP! Thank you! 15 points
Simon and his friends have 27 pieces of candy. They split them up evenly and each person get 9 pieces. How many people are there? Select the correct equation and solve for p.
A. 27 = 9p; p = 3
B. 9 + p = 27; p = 18
C. p/27 = 9; p = 3
D. 9 = 27 - p; p = 18
Answer:
\( \sf \: a) \: 27 = 9p \: ; p = 3\)
Step-by-step explanation:
Given information,
→ Simon have 27 pieces of candy.
→ Each person will get 9 pieces.
Now we have to,
→ Find the required equation.
The equation will be,
→ 27 = 9p
→ 9p = 27
=> As each person (p) gets 9 pieces.
Then the value of p will be,
→ 9p = 27
→ p = 27 ÷ 9
→ [ p = 3 ]
Hence, option (a) is correct.
what is the approximate distance between points A and B. giving brainlyest.
Answer:
7.62
Step-by-step explanation:
We can use the distance formula
d = sqrt( (x2-x1)^2 + ( y2- y1) ^2 )
d = sqrt( (1 - -2)^2 + ( 4 - -3) ^2 )
d = sqrt( (1 +2)^2 + ( 4 +3) ^2 )
d = sqrt( (3)^2 + ( 7) ^2 )
d = sqrt( 9+49)
d = sqrt( 58)
7.615773106 or approximately 7.62
Answer:
7.62
Step-by-step explanation:
Ultimately, you want to create the two imaginary lines to form a triangle and to find the hypotenuse which is the distance between point A and point B. From point B to the center of point A but not at it is 7 units and from there to point A, it is 3 units. 7^2 and 3^2 make up 49 and 9 which equals to 58. Finally, square root that number and you will get 7.62 as your distance.
Some students painted a design on the wall of the cafeteria using the school colors.
The middle section of the design is 4.2 feet tall, and is painted white. The top section is red, and the bottom section is blue. The ratio of the height of the blue section to the height of the red section is 1 : 2. The total height of the design is 10.5 feet. Find the height of the red section of the design
The height of the red section of the design is 4.2 feet.
What is the height of the red section of the design?Ratio is used to compare two or more numbers together. The first step is to determine the total height of the red section and the blue section.
Height of the blue and red section = total height - height of the white section
10.5 - 4.2 = 6.3 feet
Now determine the height of the red section.
Height of the red section = (ratio that represents the red section / sum of ratios) x height of the blue and red section
(2 / 3) x 6.3 = 4.2 feet
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-3x+16+5x=8 whats the answer to this
Answer:
-4
Step-by-step explanation:
A warehouse is 64 yards long, 28 yards wide, and 8 yards high. What is the area of the warehouse floor? If the warehouse is filled to half its height with tightly packed boxes, what is the volume of the boxes?
The volume should be 7168 yards
The area for the floor should be 14,336 yards
Warehouse details:
64 yds long
28 yds wide
8 yds high
---------------------------------------------------------------------------------------
What is the area of the warehouse floor?
the base of the warehouse is 64*28
which is 1792 yds squared
1792 yards squared
If the warehouse is filled to half its height with tightly packed boxes, what is the volume of the boxes?
half the height of the warehouse is 8/2=
4 yards
the volue of half the warehouse is
1792 * 4 = 7168 yds squared
I'm not quite sure how they want me to answer this but this is all that I got
(this part below can't be trusted)
either the boxes can be 1x1x1 which means 7168 boxes will fit
either the boxes can be 2x2x2 which means 896 boxes will fit
either the boxes can be 3x3x3 which means 265.481481 boxes will fit, which is definetly not it because they said "filled...tightly packed boxes".
plus, we don't know if the boxes are square or rectangle so I'm not sure
What are the Examples of Adding Fractions with Unlike Denominators
2/3 + 1/4 = 11/12
Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.
Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.
When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.
Here are a few examples of adding fractions with unlike denominators:
2/3 + 1/4
We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.
So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.
We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.
Now we can add the fractions by adding the numerators: 8/12 + 3/12 =
1/5 + 2/7
We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.
So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.
We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.
So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.
We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.
Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12
So, 3/4 + 1/3 = 13/12
It's important to note that when adding fractions, it's also important to simplify the final result if possible.
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is this a parallelogram?
Answer:
No
Step-by-step explanation:
A parallelogram has opposite angels equal and opposite sides equal. in this case, only a single pair of angels are equal.
17. Which statement is NOT true?
If x²= 100, then x = 10.
If x=10, then x² = 100.
If x=-10, then x² = 100.
x² = 100 if and only if x = 10 or x = -10.
The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."
The statement that is NOT true is:
If x = -10, then x² = 100.
The other three statements are all true:
If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.
If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.
This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.
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How to graph quadratic equation
Answer:
Below
Step-by-step explanation:
Pick a bunch of values of 'x' .....calculate the corresponding 'y' values then plot the ordered pairs and connect the dots with a smooth curved line ...
Evaluate the following expression:
Answer:
1
Step-by-step explanation:
Using the order of operations, we know we need to start by evaluating the expression in the parenthesis, and further we need to compute 3^2 first and 3^2 = 9.
We can rewrite the expression as:
6^2 - 7(8 + 6 - 9)
Next we can add from left to right. 8 + 6 is 14, and 14 minus 9 is 5. We can rewrite as:
6^2 - 7(5)
The next step in to evaluate the power, 6^2, which is 36. Now, it can be written as:
36 - 7(5)
7 times 5 is 35, which we can replace:
36 - 35 = 1
So we get 1 as an answer.
What is the value of M?
Answer:
44 degrees
Step-by-step explanation:
To solve this problem you can subtract 70 by 26. You can do this because those two angles add to the more significant angle. Therefore, to solvr this all you have to do is subtract 70-26. Doing so gives you your answer of 44 degrees
What degree would be classified as an obtuse angle but is close to being a straight line
120
171
100
110
Answer: 171
Step-by-step explanation:
An obtuse angle means more than 90 degrees. (90 degrees would be the inside corner of your notebook paper) a straight line would be 180 degrees. 171 is the closest to 180
p(x > 2) when x ∼ bin(8, 0.2)
The probability of p(x > 2) when x ∼ bin(8, 0.2) can be found using the binomial distribution formula. The formula is:
p(x) = nCx * p^x * (1-p)^(n-x)
Where:
- n is the number of trials
- x is the number of successes
- p is the probability of success on a single trial
- nCx is the binomial coefficient, which can be found using the formula n! / (x! * (n-x)!)
In this case, n = 8, p = 0.2, and we want to find the probability of x > 2. To do this, we can find the probability of x = 0, x = 1, and x = 2, and then subtract these probabilities from 1 to find the probability of x > 2.
p(x = 0) = 8C0 * 0.2^0 * (1-0.2)^(8-0) = 0.16777216
p(x = 1) = 8C1 * 0.2^1 * (1-0.2)^(8-1) = 0.33554432
p(x = 2) = 8C2 * 0.2^2 * (1-0.2)^(8-2) = 0.29360128
p(x > 2) = 1 - p(x = 0) - p(x = 1) - p(x = 2) = 1 - 0.16777216 - 0.33554432 - 0.29360128 = 0.20308224
Therefore, the probability of p(x > 2) when x ∼ bin(8, 0.2) is 0.20308224.
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Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis. y = sinx, 0 ≤ x ≤ 1/4; x-axis O 2TT con V1+anx dx O TU/4 cosx V1+sinox dx 4 T1/4 sinux √√1+ cos²x dx TU/4 2TT sinux V1+ Ţ 1+ cos²x dxFind the value of k such that the function f(x)= x = 2. x+3 x≤2 kx+6 x<2 is continuous at
To find the value of k such that the function f(x) = x + 2 is continuous at x = 2, we need to evaluate the left-hand limit and the right-hand limit of f(x) as x approaches 2 from both sides. By setting these limits equal to f(2) and solving for k, we can determine the value that ensures continuity.
To check the continuity of f(x) at x = 2, we evaluate the left-hand limit and the right-hand limit:
Left-hand limit:
lim┬(x→2-)〖f(x) = lim┬(x→2-)(x + 2) 〗
Right-hand limit:
lim┬(x→2+)〖f(x) = lim┬(x→2+)(kx + 6) 〗
We want both of these limits to be equal to f(2), which is given by f(2) = 2 + 2 = 4. So we set up the equations:
lim┬(x→2-)(x + 2) = 4
lim┬(x→2+)(kx + 6) = 4
Solving the left-hand limit equation:
lim┬(x→2-)(x + 2) = 4
2 + 2 = 4
4 = 4
The left-hand limit equation is satisfied.
Solving the right-hand limit equation:
lim┬(x→2+)(kx + 6) = 4
2k + 6 = 4
2k = 4 - 6
2k = -2
k = -1
Thus, the value of k that ensures the function f(x) = x + 2 is continuous at x = 2 is k = -1.
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What is a circumcenter created by?
Circumcenters can be created by three perpendicular bisectors of the triangle's sides.
What is a circumcenter:The center of the circumcircle created around a polygon is known as the circumcenter. A polygon's circumcircle is the circle that encircles all of its vertices, and its circumcenter is that circle's center.
However, not every polygon must have a circumference. The circumcircle and thus the circumcenter can only be found in regular polygons, triangles, rectangles, and right-kites. [ For more understanding observe the given pictures. ]
The circumcenter of the Triangle:The circumcenter of the triangle will be formed at the point of intersection of the three perpendicular bisectors of the triangle's sides.
Constructing Circumcenter of Triangle:
A compass is a geometric tool that we use to create the triangle's circumcenter. To construct the circumcenter follow the given points
Step -1
First of all draw perpendicular bisectors for each side of the triangle.
Step -2
Extend drawn all the perpendicular bisectors until they meet at a point.
Step -3
The point where all three points will meet is the circumcenter of the triangle
Therefore,
Circumcenters can be created by three perpendicular bisectors of the triangle's sides.
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A parabola can be drawn given a focus of (8,7) and a directrix of x = −2. What can be said about the parabola?
Answer:
See below
Step-by-step explanation:
Given that the directrix is vertical, the parabola has to be horizontal because its axis is perpendicular to the directrix.