Answer:
x = 2
Step-by-step explanation:
Any lower base angle is supplementary to any upper base angle, then
51x + 3 + 75 = 180
51x + 78 = 180 ( subtract 78 from both sides )
51x = 102 ( divide both sides by 51 )
x = 2
In any distribution of a continuous random variable, the value of the variable that encloses the top 17 percent of area will be the ______rd percentile.Fill in the blank with an integer.
The value of the variable that encloses the top 17 percent of area will be the 83rd percentile.
In any distribution of a continuous random variable, the value of the variable that encloses the top 17 percent of area will be the 83rd percentile.
To understand this, we can think of the percentile as a measure of relative position in a distribution. The nth percentile represents the value below which n percent of the data falls.
In this case, the top 17 percent of area corresponds to the upper tail of the distribution. Therefore, the 83rd percentile represents the value below which 83 percent of the data falls, leaving the top 17 percent above it.
Hence, the value of the variable that encloses the top 17 percent of area will be the 83rd percentile.
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The width of a rectangle measures (4. 2v – 2. 6) centimeters, and its length
measures (1. 5v + 6. 7) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
add the two sides together, giving us 8.4v + 13.4, which is the perimeter of the rectangle in centimeters.
2(4.2v - 2.6) + 2(1.5v + 6.7) = 8.4v + 13.4
1. Multiply the width by two to get the two sides: 2(4.2v - 2.6)
2. Multiply the length by two to get the other two sides: 2(1.5v + 6.7)
3. Add the two sides together to get the perimeter: 8.4v + 13.4
To calculate the perimeter of the rectangle, we must first find the length of the two sides. To do this, we multiply the width by two, giving us 2(4.2v - 2.6). This gives us the length of the two sides opposite each other. We then multiply the length by two, giving us 2(1.5v + 6.7). This gives us the length of the other two sides. We then add the two sides together, giving us 8.4v + 13.4, which is the perimeter of the rectangle in centimeters.
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Puzzle Blue
What is the missing letter in the sequence ?
C E
A
G
M
I
0
?
Q
The next letter in the sequence is W.
The given sequence is B, C, E, G, K, M, Q, S, _____________.
Here, B, C, E, G, K, M, Q, S
2 3 5 7 9 11 13 17
So the next prime number is 23 and the 23rd number in the alphabetic order is W.
Then, the sequence is B, C, E, G, K, M, Q, S, W
Therefore, the next letter in the sequence is W.
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"Your question is incomplete, probably the complete question/missing part is:"
B, C, E, G, K, M, Q, S, _____________.
What is the next alphabet in this sequence?
create a video explaning the solution of this problem.
help me create a script and the answer for the problem thank you!
The grounded ends of the guy wires are 15 meters apart.
How to calculate tie valueUsing the Pythagorean theorem, we can calculate the length of the base (distance between the grounded ends of the guy wires).
Let's denote the length of the base as 'x.'
According to the problem, the height of the tower is 20 meters, and the length of each guy wire is 25 meters. Thus, we have a right triangle where the vertical leg is 20 meters and the hypotenuse is 25 meters.
Applying the Pythagorean theorem:
x² + 20² = 25²
x² + 400 = 625
x² = 225
x = √225
x = 15
Therefore, the grounded ends of the guy wires are 15 meters apart.
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10 oranges and 20 grapefruits weigh 35 pounds total. 16 oranges and 10grapefruits weigh 23 pounds total. How much would 13 oranges and 15grapefruits weigh?A 28 poundsB 29 poundsC 30 poundsD 58 pounds20 Illuminate Education, Inc.
First, we will find the weight of each oranges and grape fruit
Let x be the unit weight of orange
Let y be the unit weight of grape fruit
If "10 oranges and 20 grapefruits weigh 35 pounds total"
Then this implies;
10x + 20 y = 35 -----------------(1)
And
If " 16 oranges and 10 grapefruits weigh 23 pounds total"
This implies;
16x + 10y = 23 ---------------------(2)
We can solve the two equations simultaneously.
Using elimination method;
we eliminate y and to do that, the y variables in the two equations must be same, Hence we can achieve that by multiply equation (1) by 10 and then multiply equation (2) by 20
100x + 200y = 350 ----------------------------(3)
320x + 200y = 460 ------------------------------(4)
subtract equation (3) from equation (4)
220x = 110
divide both-side of the equation by 220
x = 0.5
substitute x=0.5 into equation(1) and then solve for y
10(0.5) + 20y = 35
5 + 20y = 35
subtract 20 from both-side of the equation
20y = 35 - 5
20y = 30
divide both-side of the equation by 20
y = 1.5
"13 oranges and 15 grape fruits" = 13 x + 15y
substituting x = 0.5 and y= 1.5 in the above;
13(0.5) + 15(1.5)
=6.5 + 22.5
=29
Hence;
13 oranges and 15 grapefruits will weigh 29 pounds
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
90 degree counter-clockwise
Step-by-step explanation:
What is true for all functions?.
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
If each input value has one and only one output value, then a relation is by definition a function.
A function must have both an independent and at least one dependent variable. For instance, assuming a function:
"Y" stands for the dependent variable, and "x" stands for the independent variable.
The set of potential input values is known as the function's domain, while the set of potential output values is known as the range.
The slope of vertical lines is unknown. A vertical line is not an illustration of a functional connection because "x" is constant.
For horizontal lines, any x-value results in the same y-value. They are referred to as "Constant functions."
Accordingly, the following claims are accurate:
There is a dependant variable in every function.There is an independent variable in every function.An illustration of a functional relationship is a horizontal line.Learn more about Function click here:
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√25(36) - 64(9)
(simplify) ill give brainliest if correct
Answer:
-396
Step-by-step explanation:
Answer:
it should be 281/36
Step-by-step explanation:
please mark this as brainlists it would mean a lot
Consider the vector Pˉ=110iˉN+60jˉN−0.58Pkˉ, where P=∣Pˉ∣. a) The magnitude of Pˉ is P=N. b) The direction cosine of Pˉ with respect to the x− axis is c) The directional angle of Pˉ with respect to the z− axis is
a) The magnitude of Pˉ is P. b) The direction cosine of Pˉ with respect to the x-axis is 110/P. c) The directional angle of Pˉ with respect to the z-axis is arctan(60/√(110^2+(-0.58P)^2)).
a) To find the magnitude of vector Pˉ, we use the formula for the magnitude of a vector in three dimensions, which is the square root of the sum of the squares of its components.
b) The direction cosine of a vector with respect to a specific axis is the ratio of the component of the vector along that axis to its magnitude. In this case, the x-component of Pˉ is 110, so the direction cosine with respect to the x-axis is 110 / P.
c) The directional angle of a vector with respect to a specific axis can be found using the arctan function. In this case, we use the y-component and z-component of Pˉ to find the angle between Pˉ and the z-axis.
Therefore, the magnitude of Pˉ is given by P, the direction cosine with respect to the x-axis is cos(θ_x), and the directional angle with respect to the z-axis is θ_z.
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On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Answer:
Step-by-step explanation:
Sp of an article= Rs 2300
profit%=15%
let Cost Price of an article be X
SP=CP+PROFIT %*CP
2300=X+15/100*X
2300=100X+15X/100
2300*100=115X
230000/115=X
2000=X
Therefore cost price of an article is Rs 2000.
Find the volume of the cylinder using 3.14 for pi. Please help Asap
\(\huge\pink{Answer}\)
Volume = πr2h
= π×82×8
= 512π
= 1608.495438638 meters3
= 1608.5 approx
Please, someone, help me with this MATH question.
Tell me if I'm wrong or right, and if I'm wrong correct me, please?
Answer:
try c.
Step-by-step explanation:
do x+5x= 6x
then
-3y+y =-2y
And when you eliminate y, you get 6x = 8+24
6x=32
what are the blocked words?
Answer:
In the order they appear in the paragraph: different, measurement, coversions, world.
Step-by-step explanation:
"Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems."
The paragraph would not make sense if the words were in incorrect places.
I BEG OF YOU. I'M DOWN ON MY KNEES FOR SUM1 TO ANSWER THIS.
Answer: -2, 3
Step-by-step explanation:
so E is correct
You randomly draw once from this deck of caard. Determine each of the probabilities specified below. Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used
The probability of drawing an odd number or a number more than 7 is given as follows:
p = 1/2.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of outcomes is given as follows:
2 x 7 = 14.
Out of those, we have 7 desired outcomes, hence the probability is given as follows:
p = 7/14
p = 1/2.
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Line t passes through points (3, 11) and (8, 4). Line u passes through points (1, 4) and (8, 9). Are line t and line u parallel or perpendicular?
Answer:
The lines t and u are perpendicular.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-11)/(8-3)
m=-7/5
----------------------
m=(y2-y1)/(x2-x1)
m=(9-4)/(8-1)
m=5/7
Perpendicular lines have negative reciprocal slopes.
A package of 8 batteries costs 4.72. What is the cost per battery
Answer:
the price of one battery is 50 cents plus tax
Step-by-step explanation:
the price of one battery is 50 cents because if you count by 50s its 4 dollars and then plus tax it would be around 4.72.
Use the wave equation to find the speed of a wave given by y(x,t) = (9. 13 mm) sin[(6. 65 m-1)x - (5. 52 s-1)t]
The speed of the wave is 0.83 m/s.
According to the statement
we have given that the equation and we have to find the speed of the wave.
So, For this purpose, we know that the
The given equation is y(x,t) = (9. 13 mm) sin [(6. 65 m^-1)x - (5. 52 s^-1)t]
Then we have to find the speed of the wave
So, Comparing y(x,t) = (9. 13 mm) sin[(6. 65 m-1)x - (5. 52 s-1)t]
to the general expression y(x,t)=y m sin(kx−ωt),
Because the general expression is y(x,t)=y m sin(kx−ωt)
we see that k= 6.65 m −1 and ω= 5.52 rad/s.
The speed of the wave is
v=ω/k=(5.52 rad/s)/(6.65 m )= 0.83 m/s
So, The speed of the wave is 0.83 m/s.
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Can someone help and explain how to do these problems please
Step-by-step explanation:
1st one right angle
Right angle is of 90°
and 70° is given so subtract them
90-70=30 so y is 30°
2nd one
35° given and
\( \frac{35}{7} = 5\)
so 7x5=35
t=5
ANSWER THIS PLEASE :)
Answer: it’s hamburger
Step-by-step explanation:
Just kidding it’s c
The Coney Island Boardwalk is 2.7 miles long.
A person walks at the average speed of 3 mph.
How long will it take the person to walk the boardwalk to the end and back?
Answer = 1.8
Step 1) 3 ÷ 2.7 = 0.900
Step 2) 0.900 x 2 = 1.8
Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.
Given that, The Coney Island Boardwalk is 2.7 miles long.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
A person walks at the average speed of 3 mph.
We know that, speed = Distance/Time
= 2.7/3
= 0.9 hours
Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.
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Solve:
4(x + 7) = 5x = 2
Answer:
x = 26
Step-by-step explanation:
4(x+7) = 5x+2 1. (4) with x and 7
4x+28 = 5x+2 2. -5x on both sides
-x+28 = 2 3. -28 on both sides
-x = -26 4. /-1 on both sides
x = 26
What is the surface area of this figure?
Answer:
582 ft²
Step-by-step explanation:
Area of a triangle = 1/2 x base x height
Area of a rectangle = width x length
Surface area = (5 x 15) + 2(15 x 8) + 2(5 x 8) + (15 - 11) x 5 + 2(1/2 x 11 x 7) + 2(9 x 5)
= 75 + 240 + 80 + 20 + 77 + 90
= 582 ft²
Answer: 582 ft
Step-by-step explanation: i took the test
FILL THE BLANK. in an instruction like: z = x y, the symbols x, y, and z are examples of _____.
In an instruction like "z = x y," the symbols x, y, and z are examples of variables.
Variables are placeholders that represent unknown or changing values in mathematical expressions or equations. They allow us to generalize mathematical relationships and solve problems using algebraic methods.
In mathematics, variables are symbols that represent unknown or varying quantities. They are used to express mathematical relationships, equations, and formulas.
In the given instruction "z = x y," the symbols x, y, and z are variables.
In this case, x and y represent the input values, and z represents the output or result of the mathematical operation defined by the equation.
Variables are used extensively in algebra to solve equations, manipulate expressions, and analyze mathematical relationships. They enable us to express and solve problems symbolically, without knowing the specific values of the variables.
By assigning specific values to variables, we can evaluate expressions, solve equations, and find solutions to mathematical problems.
Variables can represent a wide range of quantities, including numbers, measurements, constants, or even abstract concepts. They provide flexibility and generality in mathematical modeling and problem-solving.
By using variables, we can establish connections between different mathematical quantities and derive meaningful conclusions based on their relationships.
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find the volume of the solid lying under the plane 8-2x-y
The volume of the solid lying under the plane 8-2x-y is 32 cubic units.
To find the volume of the solid lying under the plane 8-2x-y, you need to use a triple integral.
To find the volume, you need to perform a triple integral over the region, integrating the function 8-2x-y with respect to x, y, and z. First, find the limits of integration for x, y, and z by determining the intersections of the plane with the coordinate axes. The intersections are (4,0,0), (0,8,0), and (0,0,8). Next, set up the triple integral as follows:
∭(8-2x-y)dzdydx, with x ranging from 0 to 4, y ranging from 0 to 8-2x, and z ranging from 0 to 8-2x-y.
Evaluate the integral with respect to z first, then y, and finally x. After evaluating, you will find that the volume of the solid is 32 cubic units.
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PLS HELP!!
Anthony was mapping out a route to ride his bike. The route he picked forms a right triangle, as shown in the picture
If the route takes him 5 miles on the Forrest Lane and 12 miles up pine avenue, how many miles will Anthony save by riding straight down Cedar Drive?
A) 8 miles
B) 2 miles
C) 3 miles
D) 4 miles
Answer:
Miles that anthony will save = ( 12+5) - 13
=4 miles
Answer:
D) 4 miles
Step-by-step explanation:
Pythagoras' Theorem: \(a^2+b^2=c^2\)
(where a and b are the legs and c is the hypotenuse of a right triangle)
Given:
a = Forrest Lane = 5 milesb = Pine Avenue = 12 miles⇒ 5² + 12² = c²
⇒ 169 = c²
⇒ c = √169 = 13
⇒ Cedar Drive = 13 miles
Number of miles saved = (12 + 5) - 13 = 4 miles
Simplify
3 x 42 x 2y
Please help. Just this
Answer:
C - relationship between classrooms & desks is proportional
Step-by-step explanation:
Alfred is developing his own recipe for a fruit cake and is experimenting with the amount of caster sugar to use. Zeena Do His first attempt needed This needed less caster sugar, so he decreased the amount used in his second attempt by 18% for his third attempt. more caster sugar, so he increased the amount used by 35% for his second attempt. His third attempt used 376.38 g of caster sugar. Work out how much caster sugar, in grams (g), his first attempt used. Watch video Answe ENG UK
The amount of caster sugar used in the first attempt is given as follows:
340 g.
How to obtain the amount of caster sugar used?The amount of caster sugar used in the first attempt is obtained applying the proportions in the context of the problem.
The expressions for each attempt are given as follows:
First attempt -> unknown -> represented by variable x.Second attempt -> Increased by 35% relative to first attempt -> 1.35x.Third attempt -> decreased by 18% relative to second attempt -> 0.82 x 1.35x = 1.107x.The amount used on the third attempt was of 376.38 g, hence the amount used on the first attempt is obtained as follows:
1.107x = 376.38
x = 376.38/1.107
x = 340 g.
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Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle. y = sin(x), y = 5x, x = /2, x =
To sketch the region enclosed by the curves y = sin(x) and y = 5x, we plot the curves and find the bounds of the region. We integrate with respect to x to find the area of the region.
To sketch the region enclosed by the given curves, we first plot the curves y = sin(x) and y = 5x on a coordinate plane.
The curves intersect at two points: (0,0) and (π/6,π/3). The x-coordinates of the bounds of the region are x = 0 and x = π/6. The y-coordinate of the lower bound of the region is y = 0, and the upper bound of the region is y = 5x.
Since the region is bounded by the curves y = sin(x) and y = 5x, we can integrate with respect to x or y. However, since the region is easier to describe in terms of x, we will integrate with respect to x.
A typical approximating rectangle for the region is shown below:
To set up the integral for finding the area of the region, we need to determine the limits of integration. We integrate from x = 0 to x = π/6, and the integrand is given by the difference between the upper and lower bounds of the region:
Area = ∫<sub>0</sub><sup>π/6</sup> (5x - sin(x)) dx
We can evaluate this integral using integration techniques such as integration by parts or numerical methods such as Simpson's rule.
Overall, the region enclosed by the given curves is a triangular region, and we can integrate with respect to x to find its area.
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