Answer:
TAG is described as an acute angle.
Step-by-step explanation:
This is because TAG is an angle that is less than 90 degrees.
Answer:
acute
Step-by-step explanation:
TAG
think of the angle, the gap is small and T is close to G
if it would be right the T would be upright
if it was straight T would lay flat corresponding to G making a line
if it was obtuse the gap would surpass the right angle outward
Given L is between N and M, NL = 6x - 5, LM = 2x + 3, and NM = 4x + 9. Determine if L is the midpoint of segment MN. Justify your answer using sound mathematical reasoning.
Answer: L isn't the midpoint of segment MN.
Step-by-step explanation:
NL+LM=NM
6x-5+2x+3=4x+9
8x-2=4x+9
8x-2+2=4x+9+2
8x=4x+11
8x-4x=4x+11-4x
4x=11
Divide both parts of the equation by 2:
2x=5.5
NL=6x-5
NL=(2x)(3)-5
NL=(5,5)(3)-5
NL=16.5-5
NL=11.5
LM=2x+3
LM=5.5+3
LM=8.5
NL≠LM
Hence, L isn't the midpoint of segment MN.
In summary, based on the given lengths and mathematical reasoning, we have determined that point L is the midpoint of segment MN because the lengths of NL and LM are equal when x = 2.
We must compare the lengths of the two segments NL and LM and see if they are identical in order to establish whether point L is the midpoint of segment MN.
NL = 6x - 5
LM = 2x + 3
The lengths of NL and LM ought to be equal if L is the middle of segment MN. To put it another way, NL and LM ought to be equal.
Constructing the equation
6x - 5 = 2x + 3
Now, solve for x:
6x - 2x = 3 + 5
4x = 8
x = 2
As soon as we know the value of x, we can put it back into the NL and LM formulas to get their lengths at x = 2:
NL = 6x - 5 = 6 * 2 - 5 = 12 - 5 = 7
LM = 2x + 3 = 2 * 2 + 3 = 4 + 3 = 7
The lengths of NL and LM are both 7 units.
Point L is in fact the middle of segment MN because both segments NL and LM have similar lengths.
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a. roughly what percentage of regulation soccer balls has a circumference that is greater than 69.9 cm? round to the nearest tenth of a percent.
We can estimate that roughly 50% of regulation soccer balls have a circumference greater than 69.9 cm (or exactly 70 cm).
What is the estimated percentage?According to the regulations set by FIFA, the circumference of a regulation soccer ball must be between 68cm and 70cm. Assuming that manufacturers adhere to these regulations, we can assume that the percentage of soccer balls with a circumference greater than 69.9 cm is equal to the percentage of soccer balls with a circumference of exactly 70 cm.
The midpoint between 68 cm and 70 cm is 69 cm, and since the circumference of a sphere is proportional to its radius, the circumference of a regulation soccer ball with a radius of 10.97 cm (which corresponds to a circumference of 69 cm) is approximately equal to the circumference of a soccer ball with a radius of 11.11 cm (which corresponds to a circumference of 70 cm).
Therefore, we can estimate that roughly 50% of regulation soccer balls have a circumference greater than 69.9 cm (or exactly 70 cm) and round to the nearest tenth of a percent.
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Calculate minimum and maximum frequency for acoustic
and optic mode.
( short question (
The specific range depends on the material properties and the energy levels involved.
The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.
Acoustic Mode:
The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.
The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.
The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.
Optic Mode:
The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.
The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.
The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.
It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.
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Rebecca works as a dog walker and a tutor. She
earns $20 per hour as a dog walker and $25 per
hour as a tutor. Last week, Rebecca worked both
jobs for a total of 30 hours and earned a total of
$690.
How long did Rebecca work as a dog walker,
and how long did she work as a tutor?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. which formula could represent her sequence? f(n 1)
The recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.
To represent the given arithmetic sequence where 5 is added to each term to determine each successive term, the recursive formula can be expressed as: f(n+1) = f(n) + 5
In this formula, f(n+1) represents the next term in the sequence, while f(n) represents the current term. By adding 5 to each term, we can generate the next term in the sequence.
For example, let's assume the first term of the sequence is f(1) = a. Then, the second term would be f(2) = a + 5. The third term would be f(3) = (a + 5) + 5 = a + 10, and so on.
By using the recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.
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How many different committees of 4 students can be chosen from a group of 15?
This a case of selection because order does not matter.
The number of ways of choosing 4 from 15 is given by:
\(_{15}C_4=\frac{15\times14\times13\times12}{4!}=1365\)Therefore, the number of committees of 4 students can be chosen from a group of 15 is 1365.
.
can i have help please NO LINKS!!
Answer:
-2 6/25
Step-by-step explanation:
First you take -11 1/5 and simplify the fraction into a decimal. -11 + (-0.20) = -11.2 Now you take the weight value (-11.2lbs) and divide that by the total month value (5 months): -11.2 / 5 = -2.24. Finally, you regroup the answer into a fraction again, so here's your answer: -2.24 = -2 6/25.
i need help please and thanks
PLEASE HELP I WILL GIVE BRAINLIEST:)
Answer:
x= 107.3-51
56.3
Step-by-step explanation:
Equation: First define your variables. We'll say x= the second number.
So we can make our equation x= 107.3-51
107.3-51 is 56.3.
So the solution is 56.3
Answer:
56.3 i the second angle
Step-by-step explanation:
107.3=x+51
subtract 51
56.3 is the second angle
What is the slope of the line that passes through the points (1, -9)
and (-2,-4)?
Answer:
y = -5/3x - 22/3
Step-by-step explanation:
M = -5/3
please help!! thanks
Answer:
We conclude that the gradient of the line is: 2/3
Step-by-step explanation:
It is clear that the given graph represents a line or linear function.
From the graph, taking two points
(3, 0)(0, -2)Finding the gradient or slope of the line
Using the formula
Gradient = m = [y₂ - y₁] / [x₂ - x₁]
= [-2 - 0] / [0 - 3]
= -2 / -3
= 2/3
Thus, the slope of the line = m = 2/3
Therefore, we conclude that the gradient of the line is: 2/3
a line passes through the point (-9,-8) and is parallel to the line with equation y=5x-7. what is the slope of this line?
Answer:
5
Step-by-step explanation:
slopes of the parallel lines are always same this line has slope five
because equation in y intercept form is y=mx+b
where m is the slope.
so the slope of the new line will be five
Find the length of the missing side using Pythagorean Theorem round to the nearest tenth if necessary 10.3 yd 8.4 yd
The missing side of triangle is 13.3 yd.
What is Pythagorean Theorem?
The Pythagorean theorem, also known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.
There are two sides of triangle are given.
We have to find the missing side of triangles.
Let x be the missing side of triangles.
By using Pythagorean theorem,
(10.3)^2 + (8.4)^2 = x^2
106.09 + 70.56 = x^2
176.55 = x^2
13.3 = x
x = 13.3
Hence, the missing side of triangle is 13.3 yd.
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Complete question:
Complete question is attached below.
Consider the triangle ABC like the one below.
Answer:
C = 116°a = 6.2b = 4.4Step-by-step explanation:
You want to solve the triangle with A=38°, B=26°, c=9.
Angle sum theoremThe angle sum theorem tells you the sum of angles in a triangle is 180°. This means angle C can be found as ...
A +B +C = 180°
C = 180° -A -B = 180° -38° -26°
C = 116°
Law of sinesThe side lengths are in proportion to the sine of the opposite angle:
a = sin(A)·c/sin(C) = sin(38°)·9/sin(116°)
a ≈ 6.2
b = sin(B)·c/sin(C) = sin(26°)·9/sin(116·)
b ≈ 4.4
__
Additional comment
You can check your work using any of a number of triangle solver apps. Your calculator may have one.
C = 116°, A = 6.2° , B = 4.4°
The angle sum theorem tells you the sum of angles in a triangle is 180°. This means angle C can be found as —
Angle A + Angle B + Angle C = 180°
Angle C = 180° - Angle A - Angle B
= 180° - 38° - 26°
C = 116°
a = 6.2
b ≈ 4.4
Hope it helps :)Which graph shows the greatest integer function?
(use both images attached)
The second graph shows the greatest integer function.
What is integer function?Integer function is a type of mathematical function whose range and domain are both sets of integers. The integer function is defined such that all the values in the domain, when plugged into the function, will result in an integer value. Integer functions are useful in many applications, such as cryptography and number theory. Integer functions are also used in computer science to represent discrete values. Integer functions are typically defined using a set of rules that dictate the relationship between the integers in the domain and the integers in the range.
y = [x]
У returns the largest integer less than or equal to X, In essence it round down a real number to the nearest integer.
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The fuel tank holds 48 litres when it is full how many litres must be added to fill the tank
A. The gauge is showing 3/8 fraction of the fuel tank and B. 30 Liters must be added o the fuel tank to fill it.
A) Each division in the Fuel gauge represent the fraction ,
So,
To find what fraction the gauge shows multiply 6 by 1/16.
= 6 x 1/16
= 6/16
= 3/8
B) We know that,
The tank has 3/8 of its total capacity.
So,
to fill the tank must be added 1-3/8 Liters.
= 5/8 L
Therefore,
Multiplying 5/8 by 48
= 5/8 x 48
= 30 Liters.
So, 30 Liters of fuel must be added to the tank to completely fill it.
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Complete question - (a) What fraction does the Gauge show?
(b) The fuel tank holds 48 litres when it is full. How many Litres must be added to fill the tank?
Whole numbers are _____ integers.
always
sometimes
never
Answer:
Whole numbers are always integers.
Definition of integers: it consists of positive, 0 and negative Whole numbers.
hope this helps. have a good day!!
Hey guys! please respond asap! thanx
The equation of the line that has a slope of 7 and passes through the point (4, -2) is: y = 7x - 30.
How to Write the Equation of a Line that Passes Across a Point?If we are given a point on a line (x, y), and we know the slope (m) of the line, we can expressed the equation of the line in slope-intercept form as y = mx + b.
Given the following:
Slope of the line, m = 7
A point on the line = (4, -2).
Find the value of b by substituting x = 4, y = -2, and m = 7 into y = mx + b:
-2 = 7(4) + b
-2 = 28 + b
-2 - 28 = 28 + b - 28 [subtraction property of equality]
-30 = b
b = -30
To write the equation of the line, substitute m = 7 and b = -30 into y = mx + b:
y = 7x + (-30)
y = 7x - 30
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the following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen family. compute the mean X. 0. 1. 2. 3. 4p(x) 0.13. 0.61. 0.15. 0.07. 0.04
SOLUTION
The table for the x and P(x) can be shown below
From the table above, mean for the data is calculated as
\(\begin{gathered} \bar{x}=\sum_^x.p(x) \\ \sum_^x.p(x)=1.28 \end{gathered}\)Hence the answer is 1.28
For slope of the Hubble Constant, what does the 'rise' direction represent?
Group of answer choices
Recession Velocity (RV)
X axis
Y axis
For slope of the Hubble Constant, what does the 'run' direction represent?
Group of answer choices
X axis
Y axis
RV
The "rise" direction represents the Recession Velocity, indicating the motion of galaxies away from us, while the "run" direction represents the X axis, representing the independent variable used to measure distance or time in the Hubble Constant equation.
The "rise" direction in the context of the slope of the Hubble Constant represents the Recession Velocity (RV). It signifies the rate at which galaxies are moving away from us in the expanding universe.
On the other hand, the "run" direction represents the X axis. It refers to the distance or time, depending on the specific interpretation, along the X axis used to measure the independent variable in the Hubble Constant equation.
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The volume of this cube is 125 cm³. What is the length of each side?
Answer: 5
Step-by-step explanation: A cube has all lengths equal.
Volume is 125 find the cube root
(i) Find the range of values of c for which (x - 1)(x + 4) >c for all real values of x.
Answer: Anything smaller than -6.25
In other words, c < -6.25
==========================================================
Explanation:
Let's expand out (x - 1)(x + 4)
(x - 1)(x + 4)
w(x + 4) ... let w = x-1
wx + w*4
x( w ) + 4( w )
x(x-1) + 4(x-1) .... replace w with x-1
x^2-x + 4x - 4
x^2+3x-4
Or you could use the FOIL rule if you wanted.
--------------------
The graph of y = x^2+3x-4 is a parabola that dips down to some lowest point before going back up again. We're interested in the y coordinate of that lowest point.
The equation y = x^2+3x-4 is of the form y = ax^2+bx+c
where,
a = 1b = 3c = -4Note: this c value of -4 has nothing to do with the c value mentioned in the original inequality. It's an unfortunate clash of variable names.
Plug 'a' and b into the formula below to find the x coordinate of the vertex.
h = -b/(2a)
h = -3/(2*1)
h = -1.5
Then use this x value to find its paired y value
y = x^2+3x-4
y = (-1.5)^2+3(-1.5)-4
y = -6.25
The vertex is located at (-1.5, -6.25) which is the lowest point on the parabola.
The smallest y can get is -6.25
This is the same as saying the smallest (x-1)(x+4) can get is -6.25
If c from the original inequality is smaller than -6.25, then (x-1)(x+4) > c will always be true for all real numbers x.
Therefore, the interval of possible values of c is c < -6.25
Elon sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elapsed time, t, in days, since Elon sent the email, and the total number of people who receive the email, P(t), is modeled by the following function: P(t)=4×3^t
Answer:
Growing by 3's
Step-by-step explanation:
Every day, the number of people who receive the email increases by a factor of 3.
We have,
In the function, P(t) = \(4 \times 3^t,\) the base of the exponent is 3.
This means that for each additional day (t), the exponent increases by 1, and multiplying by 3 represents the growth factor.
For example, if we consider t = 0 (the day Elon sent the email), we substitute t = 0 into the function:
P(0) = 4 * \(3^0\) = 4 * 1 = 4
On the first day, 4 people received the email.
If we consider t = 1 (the day after Elon sent the email):
P(1) = 4 * \(3^1\) = 4 * 3 = 12
On the second day, the number of people receiving the email increased by a factor of 3 (from 4 to 12).
Similarly, on the third day:
P(2) = 4 * 3² = 4 * 9 = 36
The number of people receiving the email increased by a factor of 3 (from 12 to 36).
This pattern continues, and for each additional day, the number of people who receive the email increases by a factor of 3.
Therefore,
The number of people who receive the email increases by a factor of 3 every day.
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Evaluate. 7(n + 5) = (7 x 4) + (7 x 5)What is the value of n ?n = 40n = 32n = 13n = 4
Problem
Evaluate. 7(n + 5) = (7 x 4) + (7 x 5)
Solution
For this case we can distribute the terms in the left
7n +35 = 28 +35
And we can subtract 35 in both sides and we got:
7n = 28+35-25= 28
7n =28
And dividing both sides by 7 we got:
n = 28/7 = 4
And then the solution for this case would be:
n=4
The base of a triangular pyramid is an equilateral triangle. Each side of the base measures 12 in. The area of the base is 62.4 in². The slant height of the pyramid is 6 in.
What is the surface area of the pyramid?
Enter your answer in the box.
The surface area of the pyramid is given by the equation A = 170.4 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be represented as A
Now , the equation will be
The slant height of the pyramid h = 6 inches
The side of the equilateral triangle = 12 inches
So , the perimeter of the triangle = 3 x side length
Substituting the values in the equation , we get
The perimeter of the triangle = 36 inches
The area of the base = 62.4 inches²
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Substituting the values in the equation , we get
Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )
On simplifying the equation , we get
Surface Area of Pyramid = 62.4 + ( 108 )
Surface Area of Pyramid = 170.4 inches²
Hence , the surface area of pyramid is 170.4 inches²
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I’ll give brainliest help ASAP
Answer:
6 weeks of culinary school
plz helppppppppppppppppppppppp
Answer:
x = -12
Step-by-step explanation:
1. Distribute : 45 - 5x = 105
2. Subtract : -5x = 60
3. Divide : x = -12
Answer:
\(x = - 12\)
Step-by-step explanation:
\( - 5( - 9 + x) = 105 \\ 45 - 5x = 105 \\ - 5x = 105 - 45 \\ - 5x = 60 \\ \frac{ - 5x}{ - 5} = \frac{60}{ - 5} \\ x = -12\)
Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only 0.05.What does Bob conclude?
A correlation coefficient of 0.05 indicates a very weak positive correlation between the number of bedrooms and selling price.
When Bob calculates the correlation between the number of bedrooms in a home and its selling price and obtains a value of only 0.05, he can conclude that there is little to no linear relationship between the two variables.
Correlation is a statistical measure that indicates the degree to which two variables are related and the direction of the relationship. A correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.
A correlation coefficient of 0.05 is very close to 0, indicating that there is almost no linear relationship between the number of bedrooms in a home and its selling price.
However, it is important to note that a low correlation coefficient does not necessarily mean that there is no relationship between the variables, as there could be a non-linear relationship or other types of relationships that cannot be captured by a correlation coefficient.
Therefore, Bob should further analyze the data set and explore other statistical measures or techniques to fully understand the relationship between the number of bedrooms in a home and its selling price.
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USLI5
3) Graph the quadratic function given in factored form and identify the key features. Include at least 5 points on your
graph.
y=(- 3)(x + 1)
Zeros:
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
U3LT4
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
3. Graph the given quadratic function in the factored form as shown below.
4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
The given quadratic function in factored form is y = (x - 3)(x + 1).
Graph of the given quadratic function in the factored form as shown below.
Zeros: The zeros of the function occur when y = 0.
So the zeros of the function are x = 3 and x = -1.
Axis of Symmetry:
The axis of symmetry is x = (3 + (-1)) / 2 = 1.
Vertex:
The vertex is (1, -4).
Y-intercept:
The y-intercept is (0, -3).
Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).
Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.
Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
Using the given information, the vertex form equation can be written as:
\(y = a(x - (-1))^2 + 3\)
To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:
-5 = a(1 - (-1))² + 3
-5 = a(2)² + 3
-5 = 4a + 3
-8 = 4a
a = -2
Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:
y = -2(x + 1)² + 3
Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
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FILL IN THE FIRST BOX PLEASE 51 PONTS!
Answer:
Step-by-step explanation:
The frame -- if it means the box on the outside which has 4 right angles, or the hexagon in the middle which has 0 right angles