Answer:
x = 55°
Step-by-step explanation:
x , 35° , 90° lie on a straight line and sum to 180° , that is
x + 35° + 90° = 180°
x + 125° = 180° ( subtract 125° from both sides )
x = 55°
A mini-lottery involves selecting 2 numbers between 1 and 10. What is the probability of correctly picking the two numbers?
a) 2/10
b) 1/30
c) 2/90
d) 2/100
The probability of correctly picking the two numbers is 2/10.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability of correctly picking the two numbers = (numbers that have to be selected to win / total numbers)
2/10
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what is y interception
Answer:
The y-intercept is (0, 0).
Step-by-step explanation:
The y-intercept is where the line passes through the y-axis.
Please see attachment.
Hope this helps!
What is the midpoint of a line segment connecting the points (−4,6) and (8,2)?
Answer:
(2,4)
Step-by-step explanation:
1. Add the 2 x-values together, then divide. The resulting number is the x-value of the midpoint. -4+8=4 and 4/2=2, so the x-value is 2
2. Do the above steps (add & divide) for the two y-values. 6+2=8 and 8/2=4, so the y-value is 4
3. put the two values together in a coordinate pair & you have your midpoint! so if x=2 and y=4, then the midpoint is (2,4)
hope this helps :)
An arc on a circle measures 250 degrees. Within range which range is the radian measure of the central angle?
If the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.
Given that the arc of a circle measures 250 degrees.
We are required to find the range of the central angle.
Range of a variable exhibits the lower value and highest value in which the value of particular variable exists. It can be find of a function.
We have 250 degrees which belongs to the third quadrant.
If 2π=360
x=250
x=250*2π/360
=1.39 π radians
Then the radian measure of the central angle is 1.39π radians.
Hence if the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.
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What are mathematical formulas placed in software that performs an analysis on a data set?
a. algorithm
b. intelligence
c. analytics fact
(A) Algorithms are mathematical formulas placed in software that performs an analysis on a data set.
What is an Algorithm?Algorithms are mathematical algorithms that are used in software to analyze data sets. An algorithm is a finite sequence of strict instructions used to solve a class of specialized problems or to execute a computation in mathematics and computer science. Algorithms serve as specifications for calculating and processing data. Algorithms can utilize artificial intelligence to perform automatic deductions and use mathematical and logical checks to reroute code execution down various paths. Alan Turing pioneered the use of human traits as metaphorical descriptors of machines with terminology like "memory," "search," and "stimulus."
Therefore, (A) algorithms are mathematical formulas placed in software that performs an analysis on a data set.
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. f(x) = Square root of quantity x plus eight. ; g(x) = 8x - 12 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two x plus one. f(g(x)) = 8 Square root of quantity x plus eight. - 12 f(g(x)) = 2 Square root of quantity two x minus one. f(g(x)) = 8 Square root of quantity two x plus one.
Answer:
[tex]f(g(x))[/tex] = [tex]\sqrt{8x - 4}[/tex]
Step-by-step explanation:
• [tex]f(x) = \sqrt{x + 8}[/tex]
• [tex]g(x) = 8x - 12[/tex]
[tex]f(g(x))[/tex] is the combination of the functions [tex]f(x)[/tex] and [tex]g(x)[/tex] such that [tex]g(x)[/tex] is the input to the function [tex]f(x)[/tex] .
This means, we have to replace the original input of [tex]f(x)[/tex], which is [tex]x[/tex], with the function [tex]g(x)[/tex].
∴ [tex]f(g(x))[/tex] = [tex]f(8x - 12)[/tex]
⇒ [tex]\sqrt{8x - 12 + 8}[/tex]
⇒ [tex]\sqrt{8x - 4}[/tex]
Evaluate each expression if x=2,y=-3 and z=1
Answer:
5) 26
6) 18
Step-by-step explanation:
Substitute the value of the variables in the expression and evaluate.
x = 2 ; y = -3 and z = 1
Absolute value: Absolute value of a real number is the non negative a value of x without regard its sign.
Example: I-3I = 3
I 3I = 3
5) 24 + Ix - 4I =24 + I 2 - 4I
= 24 + I-2I
= 24 + 2
= 26
6) 13 + I 8 +y I = 13 + I 8 + (-3)I
= 13 + I 5 I
= 13 + 5
= 18
Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)
Part B: Write a verbal expression for 3(n + 8). (5 points)
The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".
Linear ExpressionA linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.
Part AFirst, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.
The word more will be represented for the add symbol (+). Thus,
the algebraic expression is 6+7x.
Part BThe expression 3*(n+8) can be represented for the sentence:
The triple of the sum between the numbers n and 8.
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Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F.
His body temperature in the evening is
°F.
His body temperature in the evening is 102.6 °F
How to determine his body temperature?The given parameters are:
Temperature in the morning = 99.2°F.
Temperature increase = 3.4°F.
His body temperature in the evening is calculated as:
New = Temperature in the morning + Temperature increase
So, we have
New = 99.2°F + 3.4°F
Evaluate the sum
New = 102.6 °F
Hence, his body temperature in the evening is 102.6 °F
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An $8.5$-by-$11$-inch piece of paper is folded in half repeatedly (never being unfolded), each time shortening what was then the longer side. What is the length of the longest side, in inches, immediately after the second fold
Answer:
5.5
Step-by-step explanation:
For the first fold, we cut the 11-inch side in half, resulting in an 8.5-by-5.5-inch piece. After the second fold, we have a 4.25 by 5.5 piece after halving the 8.5 inch side. The length is 5.5 inches.
Marty went on a bike ride to the store 8 miles away. If it
took Marty 3/4 of an hour to get there and 1/2 of an hour
to get back, what was his average rate of speed (miles
per hour) for the entire trip?
His average rate of speed for the entire trip is 12.8 miles per hour.
How do you calculate the average rate of speed?The most popular formula for calculating average speed is the distance traveled divided by the time taken.If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.The overall distance the object covers in a given time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.Average speed is a scalar quantity defined as the average distance traveled by the body in the total amount of time. It measures in m/s.Marty's speed is =V
[tex]\frac{3}{4} V+\frac{1}{2} V=8*2[/tex]
[tex]\frac{5}{4} V=16[/tex]
[tex]V=12.8[/tex]
The average rate of speed for the entire trip is 12.8 miles per hour.
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What is this? PLEASE LOOK BELOW.
Answer:
Trapezoidal prism
Step-by-step explanation:
As long as only two sides of two of the faces are parallel, and the other four faces have two sets of parallel sides, this is a trapezoidal prism.
Answer:
it is a Trapezoidal prism
Examine the ratios to find the one that is not equivalent to the others.
StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction
Which ratio is different from the other three?
The ratio is different from the other three is StartFraction 6 Over 10 EndFraction; 6/10.
RatioA ratio is a number representing a comparison between two named things.
StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction
2/5 = 6/10 = 8/20 = 12/30
2/5 = 0.4
6/10 = 0.6
8/20 = 0.4
12/30 = 0.4
Therefore, the ratio is different from the other three is StartFraction 6 Over 10 EndFraction; 6/10
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How does the graph of g(x) = (x + 4)3 − 5 compare to the parent function f(x) = x3
Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.
What are transforming functions?
The transformations of functions describe how to graph a function that exists moving and how its shape exists being changed. There exist basically three kinds of function transformations: translation, dilation, and reflection.
Let f(x) = x³ be the original function.
When -5 exists added to the y-value, it moves the point on the graph down 5 units. Compared to f(x), g(x) exists 5 units down.
f(x) = (x + 4)³ - 5
= [x- (- 4) ]³ - 5 (shift 4 units in the negative x direction that exists 4 units left)
Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
sub -2 into 12x^3 - 15
h(-2) = 12(-2)^3 -15
= -111
hope this helps!!!! If it's incorrect I'm sorry :(
Answer:
[tex]h(-2) =\boxed{ \bf -111}[/tex]
Step-by-step explanation:
The function [tex]h(x)[/tex] is defined as:
[tex]h(x) = 12x^3 - 15[/tex]
To calculate the value of [tex]h(-2)[/tex], we have to replace the [tex]x[/tex] in the definition of [tex]h(x)[/tex] with -2:
[tex]h(-2)[/tex] = [tex]12(-2)^3 - 15[/tex]
⇒ [tex]12(-8) -15[/tex]
⇒ -96 - 15
⇒ -111
2/5x + 7/8y - 4/15x - 1/4y=?
Answer:
Simplified: 2x/15 + 5y/8
Step-by-step explanation:
Simplify the expression.
Answer:
Answer: 2x/15 + 5y/8
Step-by-step explanation:
Just Simplify the expression dude.
Quick algebra 1 question for 25 points!
Only answer if you know the answer, Tysm!
Using a quadratic regression equation, it is found that the prediction of y when x = 6 is of -154.70.
How to find the equation of quadratic regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, we have that the function initially increases, then it decreases, which means that it is a quadratic function. The points (x,y) to be inserted into the calculator are given as follows:
(-1, -2.75), (0, 2.15), (1, -1.60), (2, -13.85), (3, -34.55).
Inserting these points into the calculator, the prediction of y for a value of x is given as follows:
y = -4.721428571x² + 1.482857143x + 3.201428571
Hence, when x = 6, the prediction is:
y = -4.721428571 x 6² + 1.482857143 x 6 + 3.201428571
y = -154.70
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Which linear inequality is represented by the graph?
y > 2x + 2
y ≥ One-halfx + 1
y > 2x + 1
y ≥ One-halfx + 2
Tthe inequality that describes this graph is y ≤ 1/3x - 4/3
How to determine the linear inequality represented by the graph?The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(0, -1.3) and (3, -0.3)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-0.3 + 1.3)/(3 - 0)
Evaluate
m = 1/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1/3(x - 0) - 1.3
Evaluate
y = 1/3x - 4/3
From the graph, we have the following highlights:
The line of the graph is a closed lineThe upper part is shadedThe first highlight above implies, the inequality can be any of ≥ and ≤
While the second highlight above implies, the inequality is ≤
Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3
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Si y es la temperatura y x hora ¿A que horade registro la menor temperatura
Answer:
0
Step-by-step explanation:
A 0 horas, la temperature era 9.
Given g(x)=cube root of x-3, on what interval is the function positive?
O(-00, -3)
0 (-00, 3)
O (-3,00)
(3,00)
The function f(x) = ∛x - 3 is positive at the interval (3, oo)
How to determine what interval is the function positive?The function is given as:
f(x) = ∛x - 3
The function is positive when the function value is greater than 0
This is represented as:
f(x) > 0
So, we have the following inequality expression
∛x - 3 > 0
Take the cube of both sides
x - 3 > 0
Add 3 to both sides
x > 3
Express as an interval notation
(3, oo)
Hence, the function f(x) = ∛x - 3 is positive at the interval (3, oo)
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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. x = 4 − y2, x = y2 − 4
The region enclosed by the given curve is integrated with respect to y and the area is 21.33 square units.
In this question,
The curves are x = 4 - y^2 -------- (1) and
x = y^2 - 4 ------- (2)
The limits of the integral can be found by solving these two curves simultaneously.
On equating (1) and (2),
[tex]4 - y^2 = y^2 - 4[/tex]
⇒ [tex]4 +4 = y^2 +y^2[/tex]
⇒ [tex]8= 2y^2[/tex]
⇒ [tex]y^2=\frac{8}{2}[/tex]
⇒ [tex]y^2=4[/tex]
⇒ y = +2 or -2
The limits of y is {-2 < y +2} or 2{0 < y < 2}
The diagram below shows the region enclosed by the two curves.
The region enclosed by the given curves can be integrated with respect to y as
[tex]A=2\int\limits^2_0 {[(4-y^{2})-(y^{2}-4 )] } \, dy[/tex]
⇒ [tex]A=2\int\limits^2_0 {[4-y^{2}-y^{2}+4 ] } \, dy[/tex]
⇒ [tex]A=2\int\limits^2_0 {[8-2y^{2} ] } \, dy[/tex]
⇒ [tex]A=2[8y-\frac{2y^{3} }{3} ]\limits^2_0[/tex]
⇒ [tex]A=2[8(2)-\frac{2(2)^{3} }{3} ][/tex]
⇒ [tex]A=2[16-\frac{16}{3} ][/tex]
⇒ [tex]A=2[\frac{48-16}{3} ][/tex]
⇒ [tex]A=2[\frac{32}{3} ][/tex]
⇒ [tex]A=\frac{64}{3}[/tex]
⇒ [tex]A=21.33[/tex]
Hence we can conclude that the region enclosed by the given curve is integrated with respect to y and the area is 21.33 square units.
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Seema had 150 marbles.rani had 20 marbles more than seema.alokhad 50 marbles lass than rani how many marbles did rani have
Answer: 170 marbles
Step-by-step explanation: Rani had 20 more marbles than Seema and Seema had 150. 150+20 is 170.
The safety triangle tries to predict safety performance. group of answer choices true false
TRUE
The safety triangle tries to predict safety performance.
The accident triangle, also known as Heinrich's triangle or bird's triangle, is a theory of occupational injury prevention. Indicates the relationship between serious accidents, minor accidents, and near misses. The idea is that the fewer minor accidents, the fewer serious accidents.
The process safety triangle is used to illustrate the different actions that can lead to an accident. This tool has a bottom up flow where each layer can be thought of as a preventative measure to the layer above it.
One of the main purposes of the process safety triangle is to explain how unsafe actions can lead to serious accidents. The Process Safety Triangle is also used to visualize different layers of protection and redesign systems to ensure better preventive practices. The lowest level of unsafe actions is categorized as the primary metric. A leading indicator is a preventive action taken to prevent an incident from occurring. Dangerous behavior by employees. B. Not wearing personal protective equipment or missing a system layer of protection is a major cause of process safety incidents. The wider the base of the process safety triangle, the wider the top level. This triangle shows that the more unsafe your actions are, the more likely you are to die in a process safety incident.
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Help question below study island
The seventh grade class at a Christian school had 24 students enrolled at the beginning of the school year. At the end of the school year, there were 27 students enrolled in the seventh grade. What is the percent increase in the enrollment of the seventh grade?
Answer:
12.5%
Step-by-step explanation:
27-24=3
3/24=1/8
1/8=0.125
0.125 in percent is 12.5%
Money in a savings account is compounded continuously over time, t, and is modeled by the function f(t)=1000e0.047t. what is the rate at which the balance grows?
Compounded continuously the balance grows at a continuous rate of 1.7%.
What is compound interest ?
Compound interest is when you earn interest on both the money you've saved and the interest you earn. So let's say you invest $1,000 (your principal) and it earns 5 percent (interest rate or earnings) once a year (the compounding frequency).The model used for continuous compounding is
f(t) = Pe^(rt)
where P is the principal amount, and r is the interest rate being compounded. Assuming a typo in your given equation, you have
f(t) = 1000·e^(0.017t)
Matching the various parts of the equation, we see that P = 1000 and r = 0.017 = 1.7%.
Therefore, the balance grows at a continuous rate of 1.7%.
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Need help with this questionnn!!!
The coordinates of F is (8.5, 7)
How to determine the coordinates of F?The coordinates of the points are given as:
D = (-2, -5)
F = (5, 3)
DF : FE = 4 : 2
Rewrite the ratio as
m = 4 : 2
The coordinate of the partition is calculated as:
F = 1/(m + n) * (mx2 + nx1, my2 + ny1)
This gives
(5, 3) = 1/(4 + 2) * (4 * x + 2 * -2, 4 * y + 2 * -5)
Evaluate the sum and the product
(5, 3) = 1/6 * (4x - 4, 4y - 10)
Multiply both sides by 6
(30, 18) = (4x - 4, 4y - 10)
By comparison, we have:
4x - 4 = 30
4y - 10 = 18
Solve the equations
x = 8.5
y = 7
So, we have:
F = (8.5, 7)
Hence, the coordinates of F is (8.5, 7)
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Look at the diagram below
Answer:
TRUE
Since , Angle ABD is congruent or equal to Angle CBD
we know that sides opposite to equal angles are also equal.
i.e AD and CD are opposite sides to angles ABD and CBD respectively.
So, AD = CD
Brayden has 24 feet of fence available to build a rectangular fenced in area. If the width of the rectangle is xx feet, then the length would be \frac{1}{2}(24-2x). 2 1 (24−2x). A function to find the area, in square feet, of the fenced in rectangle with width xx is given by f(x)=\frac{1}{2}x(24-2x).f(x)= 2 1 x(24−2x). Find and interpret the given function values and determine an appropriate domain for the function.
The maximum area is achieved when the rectangle is a square of side 6 feet, with a domain, 0 < x < 12.
The perimeter available with Brayden is 24 feet.
The width of the rectangle is assumed to be x feet.
The length can be calculated using the formula:
2(length + width) = perimeter,
or, 2length + 2width = perimeter,
or, 2length = perimeter - 2width,
or, length = (1/2)(perimeter - 2 width).
Substituting the values, we get:
length = (1/2)(24 - 2x).
The area can be calculated using the formula:
Area = length*width.
Substituting the values, we get:
Area = (1/2)(24 - 2x)x = (1/2)x(24 - 2x).
Now, we need to maximize the area for the given perimeter.
For that, we differentiate the area function, with respect to its width x.
d(Area)/dx = (1/2)(24 - 2x) + (1/2)x(-2),
or, d(Area)/dx = 12 - x - x = 12 - 2x ... (i).
To check for the point of inflection, we equate this to zero, to get:
12 - 2x = 0,
or, 2x = 12,
or, x = 6.
To check whether this is maximum or minimum, we differentiate (i) with respect to x to get:
d²(Area)/dx² = -2 which is less than 0, implying area is maximum at x = 6.
Thus, the maximum area is achieved when the width is 6 feet.
Length = (1/2)(24 - 2x) = (1/2)(24 - 2*6) = (1/2)12 = 6.
Thus, the maximum area is achieved when the length is 6 feet.
The area function is, area = (1/2)x(24 - 2x).
We know that the area is always greater than 0, thus, we can show that:
(1/2)x(24-2x) > 0,
or, x(24 - 2x) > 0,
or, x(12 - x) > 0, which is true when 0 < x < 12.
Thus, the domain of the area function is 0 < x < 12.
Thus, the maximum area is achieved when the rectangle is a square of side 6 feet, with a domain, 0 < x < 12.
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Sanford's gym coach made him run 20 laps on a 400 m track. How many kilometers did he run? How many miles?
Answer:
8km 5mi
Step-by-step explanation:
20x400=8000meters a km = to 1000meters
8000/1000=8km
A mile is a kilometer/ 1.6 8/1.6=5 miles
Sanford ran approximately 8 kilometers and about 4.97 miles.
Given that a coach made someone run 20 laps on a 400 m track.
We need to find the number of mile he ran as well as number of kilometers he ran.
To find out how many kilometers Sanford ran, we can use the fact that 1 kilometer is equal to 1000 meters.
Similarly, to find out how many miles he ran, we'll use the conversion factor of 1 mile being equal to approximately 1609.34 meters.
Let's calculate it:
1 lap = 400 meters
20 laps = 20 x 400 = 8000 meters
Kilometers:
8000 meters ÷ 1000 meters/kilometer = 8 kilometers
Miles:
8000 meters ÷ 1609.34 meters/mile ≈ 4.97 miles
So, Sanford ran approximately 8 kilometers and about 4.97 miles.
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