Answer:
C. 105°
Step-by-step explanation:
Angles BED and CED are supplementary, so ...
(2y +x) +(-2y +3x) = 180
4x = 180
2x = 90
Substituting this into the expression for angle AEB, we have ...
Angle AEB = (90 -15)° = 75°
Angle AEC is the supplement to that, so is ...
∠AEC = 180° -75° = 105° . . . . . matches choice C
Answer: C. 105
Step-by-step explanation:
Adding BED and DEC for being adjacent angles we obtain:
\(2y+x +-2y+3x = 180\\4x = 180\\x=45\\\)
Substituting x in BEA
\(BEA=2(45)-15=75\)
Adding BEA and AEC for being adjacent angles we obtain:
\(BEA+AEC=180\\AEC=180-BEA\\AEC=180-75\\AEC=105\)
write 47% as a decimal
Answer:
0.47
Step-by-step explanation:
47% is the same as 0.47.
Hope it helps!
Nisha and Tim are reading the same book, Nisha has finished 9/10 of the book. Tim has finished 8/9 of the book. Who has read more?
Answer:
Tim has read more he has read 9 of the books and she has only read 8
Answer: Nisha
Step-by-step explanation: because if you divided 8 and 9 it will be bigger than 9 and 10
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
Solve the systems by elimination.
2x + 4y = -16
-2x + 2y = -2
Answer: (-2,-3)
Step-by-step explanation:
Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.
The 99% confidence interval for the population proportion p is (0.776, 0.824).
To find the 99% confidence interval for a proportion, we can use the formula:
CI = p^ ± z*(SE)
where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.
For a 99% confidence interval, the critical value z is 2.576.
Substituting the given values into the formula, we have:
CI = 0.80 ± 2.576*(0.03/√200)
Simplifying this expression, we have:
CI = 0.80 ± 0.024
This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.
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The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
what is inequality ?
An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."
So, the inequality would be:
Temperature < 8 degrees Fahrenheit
Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
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First, determine if the three side lengths could form a triangle. (Recall from earlier, the sum of the two smaller sides must be greater than the third side). If yes, classify the triangle further as acute, right, or obtuse.17 ,1712 , Not a triangle
acute
right
obtuse
The triangle of given dimensions is isosceles and acute triangle.
Triangle is a shape with three sides and hence three angles. We know that triangles are classified according to the sides and angles. Based on angles, the classification of triangle is acute, obtuse and right triangle.
Based on sides, the classification of triangle is equilateral, isosceles and scalene triangle. Now, if the dimensions will form a triangle or not can be estimated through the formula -
side 1 + side 2> side 3
We see that 17 + 17 > 12
34 > 12
Thus, the triangle will form.
Moreover the two sides are equal hence it will be isosceles triangle. Since two sides are equal thus two angles will also be equal.
Now, if we square the sides and find their sum, it will be greater than square of third side. Hence, it is acute triangle.
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x–23=17 solving the following equation
Answer:
X=42
Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals 42
How many almonds in the cup? (1/4 cup) Help me
Answer:
The amount of almonds in the fourth cup are 40
6+6y=-30 solve for y
we have the following:
\(6+6y=-30\)solving for y:
\(\begin{gathered} 6y=-30-6 \\ y=-\frac{36}{6} \\ y=-6 \end{gathered}\)The answer is y equal -6
Find the missing angle and side measures of Delta*ABC , given that
m angle A = 50 deg , m angle C = 90 deg , and CB = 16
The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.
To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.
Given:
∠A = 50°
∠C = 90°
CB = 16
We can start by finding the measure of ∠B:
∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)
50° + ∠B + 90° = 180°
∠B + 140° = 180°
∠B = 180° - 140°
∠B = 40°
Now, using Sine law
CB/ sin A = AB / sin C
16 / sin 50 = AB / sin 90
16 / 0.766044 = AB
AB = 12.25
Again 12.25 = AC/ sin B
12.25 = AC / sin 40
AC = 19.068
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Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?
Answer:
In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.
Step-by-step explanation:
Wanting to take things slowly, they first tried the carousel. There are 48 people in
line. If 28 of them are kids, what is the fraction of people in line for the carousel
that are kids?
Answer:
28/48
Step-by-step explanation
28 kids and 48 people total.
28/48
To find the height of a fir tree, Bill first found the length of the tree's shadow to be 80 feet long. At the same time, he held a yardstick perpendicular to the ground. The yardstick cast a shadow of 4 feet. What was the height of the tree?
(Hint: How many feet are in a yardstick)
Answer: 60 ft
Step-by-step explanation:
We can set up ratios to solve this problem. First, let's use x to represent the actual height of the tree. The tree, with heigh x, casts a shadow of 80 feet.
This gives us a ratio of 80:x
Next, they say that a yardstick (1 yd = 3 ft) casts a shadow of 4 ft. Therefore we can set up a ratio of 4:3.
We can compare these ratios by saying
80/x = 4/3. By cross multiplying, you get that 4x = 240.
x = 60 ft
Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
Imagine that 55% of the 800 students participate in music instead of 60%. How could
you use the idea of halves with the bar model to find 55% of 800?
Answer:
Step-by-step explanation:
3
5
6
ft = 3
5
6
× 1 ft = 3
5
6
× 12 in Write 3
5
6
feet as a single fraction greater than one. Then, complete the expression PLEASE HELP ASAP
The complete expression of given question is :
3 5/6 feet = 23/6 feet = 46 inches.
What do you mean by term Mixed Fraction ?A mixed fraction is a type of fraction that consists of a whole number and a proper fraction. For example, 3 1/2, 2 2/3, and 5 3/8 are all mixed fractions. The whole number part represents a number of whole units, while the fraction part represents a part of a unit.
To write 3 5/6 feet as a single fraction greater than one, we can convert the mixed number to an improper fraction. To do this, we multiply the whole number (3) by the denominator of the fraction (6), and add the numerator (5), then put the result over the denominator. Like this:
3 5/6 = (3 x 6 + 5)/6 = 23/6
Therefore, 3 5/6 feet can be written as the improper fraction 23/6 feet.
To complete the expression, we can use the fact that 1 foot is equal to 12 inches. Therefore, we can convert 23/6 feet to inches by multiplying it by 12:
23/6 feet × 12 inches/1 foot = 23/6 × 12 inches
Simplifying the fraction, we get:
23/6 × 12 inches = 276/6 inches = 46 inches
Therefore, the expression is:
3 5/6 feet = 23/6 feet = 46 inches.
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Trevor has a rectangular patch of dirt that has a length of 50 feet and a width of 30 feet. He wants to divide this area into two rectangular gardens as shown.
Write an expression to represent the area of the
garden on the left.
B. Write an expression to represent the area of the
garden on the right.
C. If the area of the garden on the left is greater, what
is the difference of the areas of the two gardens? Simplify your answer
Answer:
sweefe
Step-by-step explanation:
EFEFEEa
Evaluate (n-0) for n=4 and r= 1.
(n-r)!=[] for n=4 and r= 1
(Simplify your answer.)
Question:
Evaluate n!/r!(n-r)!=[ ] for n=4 and r= 1 (Simplify your answer.)
Answer:
\(\frac{n!}{r!(n-r)!} = 4\)
Step-by-step explanation:
Given
\(n = 4\) \(r = 1\)
Required
Evaluate \(\frac{n!}{r!(n-r)!}\)
The solution is as follows:
\(\frac{n!}{r!(n-r)!} = \frac{4!}{1!(4-1)!}\)
\(\frac{n!}{r!(n-r)!} = \frac{4!}{1!*3!}\)
Evaluate each factorial
\(\frac{n!}{r!(n-r)!} = \frac{4*3*2*1}{1*3*2*1}\)
\(\frac{n!}{r!(n-r)!} = \frac{4}{1}\)
\(\frac{n!}{r!(n-r)!} = 4\)
This morning, Kendall drank a cup of coffee that had 95 milligrams of caffeine in it. She didn't have any more caffeine for the rest of the day. Kendall read online that the amount of caffeine in her body will decrease by approximately 13% each hour. Write an exponential equation in the form y=a(b)x that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = ____. To the nearest milligram, how much caffeine will be in Kendall's body after 12 hours?
An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is
The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.
What is an exponential function?In Mathematics, an exponential function can be modeled by using the following mathematical equation:
f(x) = a(b)^x
Where:
a represents the initial value or y-intercept.x represents time.b represents the rate of change.Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:
Rate of change (decay rate) = 100 - 13 = 87% = 0.87.
By substituting the parameters into the exponential equation, we have the following;
\(f(x) = 95(0.87)^x\)
When x = 12, we have;
\(f(12) = 95(0.87)^{12}\)
f(12) = 17.86 ≈ 18 milligrams.
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identify the transformation from the pre-made to the image
You can notice that each point of both images are at the same distance of the origin of coordinates. It means that the transfromation is a reflection across the line y = x
answer: reflection across y = x
The cost function for a certain commodity is c(q)=84+0.16q-0.0006q^2+0.00000q^3. Find and interpret c'(100).
The correct answer for the intercept c'(100) is 0.04.
According to the question, the given expression for the cost function in terms of intercept is as written below:
\(c(q)=84+0.16q-0.0006q^{2} +0.00000q^{3}\)
Differentiate the given expression and it can be re-written as:
\(c'(q)=0+0.16-0.0006(2q) +0.00000(3q^{2})\)
Now, substituting the value of the variable 'q' as 100:
\(c'(100)=0+0.16-0.0006(2(100)) +0.00000(3(100)^{2})\\ c'(100)=0.16-0.0006(200) +0.00000(30000)\)
⇒c'(100) = 0.16 - 0.12 =
c'(100) = 0.04
Hence, the correct answer for the intercept c'(100) is 0.04.
What is intercept?
The term intercept can be defined as the point on the y-axis. It is used to calculate the slope of the line. And it is that point from where straight line passes.
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Please help! Math work!
Answer:
The first one is exponential, the second one is linear, and the last one is quadratic.
Step-by-step explanation:
The first one is exponential, because the values are increasing at an increasing rate. In other words, the difference between any consecutive x-values yield a bigger difference.
The second one is linear, because the values are increasing at a constant rate.
The last one is quadratic, because the values decrease, and then increase, which can be represented by a parabola for a quadratic equation.
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Cheese pizza cost 6$ each and four topping pizza that cost $10 each. If you order c cheese pizzas and f four toppings how much would you pay
Answer:
\(Total = \$6c + \$10f\)
Step-by-step explanation:
Given
\(Cheese\ Pizza = \$6\)
\(Topping\ Pizza = \$10\)
Required
Cost of c cheese and f topping pizza
Solving for c cheese pizza
If 1 cheese pizza costs $6,
c cheese pizza would cost $6 * c
Solving for f topping pizza
If 1 topping pizza costs $10,
f topping pizza would cost $10 * f
Hence:
\(Total = \$6 * c + \$10 * f\)
\(Total = \$6c + \$10f\)
Hence, the total amount paid is: \(\$6c + \$10f\)
A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t minutes. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute.??t (min) 36 38 40 42 44?Heartbeats 2510 2647 2784 2915 3048??The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of t. (Round your answers to one decimal place.)??
(a) t = 36 and t = 42
(b) t = 38 and t = 42
(c) t = 40 and t = 42
(d) t = 42 and t = 44
Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .
What do coordinates mean?When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.
Here,
The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:
Heartbeat change / time change is the trend.
The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.
A)Using coordinates 36, 2510, and 42, 2915 as examples:
Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75
b) Using coordinates (38, 2647) and (42, 2915), respectively:
Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67
c) Applying the values (40, 2784) and (42, 2915):
Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5
Using coordinates (42, 2915), and (44, 3048), respectively:
Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5
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Which expression is equivalent to 81 x 9^8?
A. 1/9^10
B.(9^2)^5
C.1/9^16
D.(9^1)^9
Expressions that perform similarly but differ in appearance are said to be equivalent expressions.
How to find the calculation?When the same value(s) for the variable are entered, two algebraic expressions that are equivalent will have the same value (s).
It is comparable to perform 3+2minus, 3, plus, 2, and 2 3 232, minus, 3. Despite being in opposite sequence, the numbers add out to 1 less than 1.
Each of the fractions 1 start fraction, 1 divided by, 2 end fraction, and 5 10 10 5 start fraction, 5 divided by, 10 end fraction, is identical. Despite the difference in the numerals, they both add up to 5.
Algebraic expressions 2 + 2 2x+22, x, plus, 2 and 2(x+1)2, left parenthesis, x, plus, 1 and right parenthesis, are equal. All xx values have the same value according to the expression:
x 2(x + 1 ) 2x + 2
0 2(0 - 1 ) = 2 2(0) + 2 = 2
1 2(1 + 1 ) = 4 2(1) + 2 = 4
2 2(2 + 1 ) = 6 2(2) + 2 = 6
3 2(3 + 1 ) = 8 2(3) + 2 = 8.
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Answer correct plz if u steal points ill report
Answer:
Okay look at the graph, at x = 11, the y of the line is between 500 and 450. 500+450=950
950/2=475 so (11,475)
Let's take x=6, the y would then be 600. If x=9, y would be 525. Just try to look at the graph and see from there. Let me know the answer.
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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