Answer:
60°.
Step-by-step explanation:
if the task is 'to calculate the value of y' then
1) basic rule is: the sum of the angles is 180°;
2) according to the basic rule y+(y-30°)+90°=180°;
3) if to solve this equation written above, then y=60°.
Mark buys stones for his driveway. He fills his truck with 2.36 tons of stone. The stone quarry charges $42.59 per ton for the stone.
Mark pays $_______ for the stone?
Answer:
100.51
Step-by-step explanation:
Answer:
$100.51
Step-by-step explanation:
all you have to do is 2.36 times 42.59 and get 100.5124 and since we are talking about money you round and get $100.51
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1459 divided by 6 with remainder as fraction
Answer:
6 1/243
Step-by-step explanation:
6 goes into 1459, 243 times
243*6=1458
1459-1458=1
So there is a remainder of 1
So the answer would be 6 1/243
todd boards a ferris wheel at the 3-o'clock position and rides the ferris wheel for several rotations. the ferris wheel has a radius of 10 meters, and when todd boards the ferris wheel he is 14 meters above the ground. imagine an angle with its vertex at the center of the ferris wheel that subtends the path todd travels.
Therefore the the time todd needed to complete one full rotation around the Ferris wheel is 0.785min
What is equation?There are numerous ways to define an equation in mathematics. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 2x + 4 = 14, for example, the two expressions 2x + 4 and 14 are separated by the symbol "equal." Mathematical variables are used in even the simplest and most basic mathematical equations.
Here,
the ferris wheel radius = 10 meters
and he is 14 meters above the ground.
So we can build an equation with given data to find the time todd needed to complete one full rotation around the Ferris wheel
thus time is represented as t
Therefore ,the Ferris wheel rotates at a constant rate so that the angle sweeps out & radians per minute
so speed =8 rad/min
t=distance/speed
t=2\(\pi\)/8 min
t=0.785min
Therefore the the time todd needed to complete one full rotation around the Ferris wheel is 0.785min
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1. Holly, Tyler, and their parents go shopping for some items to update their 3 bedrooms. They have exactly $400 that they can spend. They have the following items in their cart: 3 packages of curtains, 3 gallons of paint, and 3 lamp shades. Complete the following to find out if they have enough money to purchase these items and, if they do, how much they will have left over.
(a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart?
(b) If a gallon of paint costs $7.96, what is the cost of the 3 gallons of paint in the cart?
(c) If a lamp shade costs $14.99, what is the cost of the 3 lamp shades in the cart?
(d) Find the total cost of all the items in the cart. Then, find the amount of money the family has left, if any, from the $400.
Answer:
3 x 21.50= 64.50
3 x 7.96= 23.88
3 x 14.99= 44.97
Altogether equals 133.35
400-133.35= 266.65
Answer:
3 x 21.50= 64.50
3 x 7.96= 23.88
3 x 14.99= 44.97
Altogether equals 133.35
400-133.35= 266.65
if m1 equals (4x+2) and m2 equals 110, what is the value of x?
The value of x is 17.
Assuming that the sum of the two angles is equal to 180 degrees, then the equation to solve for angle 1 is
4x+2+110=180
4x+112=180
Then solve for x
4x=68
x=17
Then to find angle 1 just plug x into the equation for angle 1
4x+2
4(17)+2
Angle 1=70
What is a angle?
Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.
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2. Solve using the standard algorithm.
9.8: 5 =
55918
Answer:
1.6
Step-by-step explanation:
sorry if i'm wrong mate
What is the meaning of "A formula without free variables"?
A formula without free variables is a formula that does not contain any variables that are not quantified.
What is a formula without free variables ?Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.
Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.
Formulas without free variables are often easier to work with than formulas with free variables.
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what type of transformation is it
Answer:
Translation
Step-by-step explanation:
You're moving down 5 units, and left 1 unit, so therefore it's a translation 5 units down and 1 unit to the left.
Select the correct answer.
In which career would you most likely apply concepts from geometry?
A food critic
B. social worker
C. radio
D. computer game designer
Answer:
D
Step-by-step explanation:
The answer would be D
They use a lot of technology and math
Hope it helps :p
Answer:
D. Computer game designer
Step-by-step explanation:
They use geometry mostly in graphics.
"Isometric Graphic Design can be used to create an object that appears to be 3D, but is not. Isometric projection is the process of tilting a certain axis to change the angle at which an object is viewed."
Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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PLEASE answer pic provided
Answer:
50 to 60 seconds is the answer
Explain why this quadrilateral is not a parallelogram.
I’m confused on this
Answer: This quadrilateral is not a parallelogram because 1. opposite sides are not equal and 2. the right and left sides are not parallel.
Step-by-step explanation:
1. The top side is 4 units long and the bottom side is 8 units long. 4 \(\neq\) 8.
2. The side on the left has a slope of 5/13 while the side on the right has a slope of 5/9.
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.
Step 1: State the hypotheses.
- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).
- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).
Step 2: Compute the value of the test statistic.
To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).
The formula for the z-test statistic is:
z = (X- μ) / (σ / √n)
Where:
X is the sample mean (4.21 cm),
μ is the population mean (4.00 cm),
σ is the population standard deviation (0.83 cm), and
n is the sample size (121).
Plugging in the values, we get:
z = (4.21 - 4.00) / (0.83 / √121)
z = 0.21 / (0.83 / 11)
z = 0.21 / 0.0753
z ≈ 2.79 (rounded to two decimal places)
Step 3: Determine the critical value and make a decision.
With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.
For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).
Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.
Conclusion:
Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.
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Aaron wants to draw the development of a cylinder. Which method of development should he use?
A.
parallel line
B.
approximate
C.
triangulation
D.
radial line
E.
non-curved to non-curved triangulation
Answer:
The correct option is A. Parallel line.
When practicing statistics in real life, it is not very important to check the necessary assumptions of a statistical procedure in order to effectively carry out and use the results. True False
The given statement is FALSE.
Given statement;
When practicing statistics in real life, it is not very important to check the necessary assumptions of a statistical procedure to effectively carry out and use the results.
The above-mentioned statement is FALSE.
→ We are aware that checking assumptions is crucial when applying statistics in daily life because failing to do so will prevent us from receiving fair answers to our statistical queries or drawing valid inferences. To use the good process and appropriate statistical distributions while utilizing statistics in daily life, it is crucial to examine assumptions.
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Graph each function f(x) = 1/4x
12 athletes on a volleyball team need to raise 912.80$ to buy new uniforms and equipment. They already raised 482.36 at a school fundraiser. if each athlete raises the same amount, how much more money does each athlete need to raise?
Answer:
$35.87
Step-by-step explanation:
912.80 - 482.36 = 430.44
430.44 divided by 12 = 35.87
Answer:
$35.87
Step-by-step explanation:
Let's first find out how much more they need to raise in total.
912.80 - 482.36 = 430.44
Now, if everyone contributes the same amount, they each need to contribute one twelfth of this amount.
430.44/12 = 35.87
Answer: Each athlete needs to contribute $35.87 more
10. (5 + 4 – 2) × (-2) = ?
O A. -14
B.-22
C. 14
D. 22
Answer:
A. -14
Step-by-step explanation:
PEMDAS
(9-2)*(-2) = x
(7)*(-2) = x
-14 = x
(12²-15+17)+16= what is the answer
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
Write an equation to find p, the number of pounds of food that an adult manatee can eat in d days?
Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d
Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.
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Jennifer paid $13.44 for a pack of 12 pairs of sport socks. What was the price of a pair of sport
socks?
$
Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Points possible: 1
This is attempt 1 of 3.
Submit Jump to Answer
License
Answer:
1.12
Step-by-step explanation:
Since the whole price is 13.44$ and the whole number of whole pairs is 12 you can get the answer by dividing them so it will be 13.44÷12 so it will be 1.12
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
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The midpoint of \overline{\text{AB}} AB is M(7, -7)M(7,−7). If the coordinates of AA are (8, -6)(8,−6), what are the coordinates of BB?
Using the formula for the midpoint of the line with given points A and B as the end points of the line, the coordinates of the point B is (6,-8).
How do you find the midpoint of a line segment?To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.
What is the formula for finding the midpoint of a line segment?
The formula for finding the midpoint of a line segment is:
Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )
Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.
Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line, and using the midpoint formula for a line AB,
Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)
where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B
so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)
equating the corresponding points,
7 =(8+x2)/2
therefore, x2 = 6
and , -7 = (-6+y2)/2
therefore , y2 = -8
Hence the coordinates of B is , (x2,y2 ) = (6,-8)
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i need help
can you look over this picture and see what the answer is
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
Which net represents this solid figure?
________________________________
(reporting wrong/spam answers)
(giving brainliest to the correct answer)
_________________________________
Answer:
D.
Hope this helps!
Step-by-step explanation:
A and C are both squares and B is a rectangle but is different because the values are in different spots than the on the solid figure shown.
help with this problem plz
Answer:
22
Step-by-step explanation:
All thats need to do in this problem is add both line lengths to find the length of FH.
8 + 14 = 22
Best of Luck!
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x<53)?
A. 0.84
B. 0.16
C. 0.025
D. 0.975
The correct answer is A. 0.84
The value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We know,
\(\rm Z = \dfrac{X-\mu}{SD}\)
X = 53, μ = 50, and SD = 3
\(\rm Z = \dfrac{53-50}{3}\)
Z = 1
From the Z table.
The value of P(X<53) = 0.84
Thus, the value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
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What is the area of
the segment? Express
the answer in terms
of pi.
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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2, 9, 11, 18, 20, 27,
the next 3 numbers.
Answer:
29, 36, 38
Step-by-step explanation:
The pattern is add 7 then 2, then 7, then 2, then 7, then 2. You should get the hang of it. All you have to do is just do the same thing for the next three numbers.