Which of the following inequalities does the graph represent?
Number line -5 to +5 in single-integer increments - assessment graphic
Responses
–3 < t < 4
–3 < t < 4
t < –3 or t > 4
t < –3 or t > 4
–3 ≤ t ≤ 4
–3 ≤ t ≤ 4
t ≤ –3 or t ≥ 4
The statement t < –3 or t > 4 is the inequality that the graph represents.
What is inequality?Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.
The graph represents the inequality t < –3 or t > 4. This can be seen by the number line, which has the integers -5 to 5 incrementally marked, with the bars extending beyond the -3 and 4 markers. This indicates that the value of t is less than -3 or greater than 4, but not equal to either of these values. Therefore, the statement t < –3 or t > 4 is the inequality that the graph represents.
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Find the area of the shaded region. Round the answer to the nearest
tenth decimal place.
\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)
Area of shaded region = 2571.66 in²\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)
Radius of smaller circle = 25 in
Radius of larger circle = 25 + 13 = 38 in
Area of ring : Area of larger circle - Area of smaller circle
\(\qquad❖ \: \sf \:\pi {(38)}^{2} - \pi {(25)}^{2} \)
\(\qquad❖ \: \sf \:\pi( {38}^{2} - 25 {}^{2} )\)
\(\qquad❖ \: \sf \:3.14(1444 - 625)\)
\(\qquad❖ \: \sf \:3.14(819)\)
\(\qquad❖ \: \sf \:2571.66 \: \: in {}^{2} \)
\( \qquad \large \sf {Conclusion} : \)
Area = 2571.66 in²sherry had $7/8$ of a cup of sugar in her kitchen, and then she used $1/2$ of a cup of sugar to make sweet tea. she used what fraction of her sugar to make sweet tea?
Sherry used 3/8 of her sugar to make sweet tea, which is the fraction obtained by subtracting 1/2 from 7/8.
The fraction of sugar that Sherry used to make sweet tea, we need to subtract the amount of sugar she used from the total amount of sugar she had.
Sherry had $7/8$ of a cup of sugar in her kitchen, and she used $1/2$ of a cup of sugar to make sweet tea.
To find the remaining amount of sugar, we subtract $1/2$ from $7/8$:
$7/8 - 1/2$
To subtract fractions, we need a common denominator. In this case, the common denominator is 8. We can rewrite $1/2$ as $4/8$:
$7/8 - 4/8$
Now we can subtract the numerators:
$3/8$
Therefore, Sherry used $3/8$ of her sugar to make sweet tea.
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what is the measure of location which is the most likely to be influenced by extreme values in the data set?
a) Range
b) Median
c) Mode
d) Mean
The measure of location most likely to be influenced by extreme values in the data set is given as follows:
d) Mean
What are the measures of location?The three measures of location in a data-set are given as follows:
Mean: sum of all observations divided by the number of observations.Median: middle value of the data-set.Mode: value that appears the most times in the data-set.From the three definitions above, we can see that the mean is the only measure that is influenced by all observations, hence it is the most affected by outliers, and thus option d is correct.
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X - 6y= 20 solve for y
Answer:
3
Step-by-step explanation:
Plot the points A(1, 3), B(3, 5), C(9, 1), and D(7, -1). Connect the points to make a quadrilateral. What type of quadrilateral is it? Prove it – remember to show all steps!
The graph of the quadrilateral ABCD is attached below
What is the graph of the quadrilateral?To plot the graph of a quadrilateral, we need to know the coordinates of its four vertices. Let's say the coordinates of the vertices are A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), and D(x₄, y₄).
Here are the steps to plot the graph of the quadrilateral:
1. Draw a coordinate plane on a sheet of graph paper.
2. Plot the points A, B, C, and D on the coordinate plane using their respective coordinates. Label the points accordingly.
3. Draw line segments connecting the vertices of the quadrilateral. For example, connect points A and B, B and C, C and D, and D and A.
4. Check that the sides of the quadrilateral are not intersecting each other. If the sides intersect, then the quadrilateral is not a valid shape.
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Given the following formula, solve for y
w=x-y/2 -z
A. y=2w+z-x
B.y=x-2(w+z)
C.y=x-(2w+z)
D.y=2(w+z)-x
Answer:
Step-by-step explanation:
w=x-y/2-z
y=-2w+2x-2z
Can you plsss. answer 1,2, and 4 questions plss. I need help!
The sales tax rate in Chicago is about 10.5%. Calculate the amount you would need to pay in tax below. How much would you need to pay with tax $10
Answer:
Including the tax, you would need to pay $11.05
Step-by-step explanation:
10.5/100 * 10 + 10 is the formula
The tax itself, if you had to pay $10 for something, is $1.05
find the value of given expression
\( \sqrt{31 \times 31} \)
Answer:
31 is the answers for the question
Step-by-step explanation:
please give me brainlest
Answer:
\(\sqrt{31\times31}\)
Multiply 31 × 31= 961
\(961=31^2\)
\(=\sqrt{31^2}\)
\(=31\)
OAmalOHopeO
just the linked questions, thanks . 8.4 similar triangles unit 8 practice a
The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;
8. \(\overline {ST}\) is parallel to \(\overline{PR}\)
9. \(\overline{ST}\) is parallel to \(\overline{PR}\)
10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)
11. x = 57.6
12. x = 25.8
13. x = 11
14. x = 10
15. x = 5
16. x = 17
What is Thales theorem?Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.
8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625
Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)
9. The ratio of the sides the parallel side to the base divides the other two sides are;
33/41.8 = 15/19
45/(102 - 45) = 45/57 = 15/19
Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)
10. The ratio of the sides the segment \(\overline{ST}\) bisects the other two sides are;
24/57 and 19/38
24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)
Second part; To solve for x
11. x/30 = 48/25
x = (48/25) × 30 = 57.6
x = 57.6
12. x/34.4 = (49 - 28)/28
x = 34.4 × (49 - 28)/28 = 25.8
x = 25.8
13. (2·x + 6)/52.5 = 32/60
(2·x + 6) = 52.5 × (32/60)
x = (52.5 × (32/60)) - 6)/2 = 11
x = 11
14. (x - 3)/21 = (x - 1)/27
27·x - 27 × 3 = 21·x - 21
27·x - 81 = 21·x - 21
6·x = 60
x = 60 ÷ 6 = 10
x = 10
15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)
15/20 = (4·x - 2)/(7·x - 11)
15 × (7·x - 11) = 20 × (4·x - 2)
105·x - 165 = 80·x - 40
105·x - 80·x = 165 - 40 = 125
25·x = 125
x = 125/25 = 5
x = 5
16. (x - 3)/35 = 4/(x - 7)
(x - 3) × (x - 7) = 35 × 4 = 140
x² - 10·x + 21 = 140
x² - 10·x - 119 = 0
(x - 17) × (x + 7) = 0
x = 17 or x = -7
Therefore, the possible value of x is 17
x = 17
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A triangle was translated 4 units down.
In the graph, which figure is the pre-image and which
figure is the image?
O AFGH is the image and A ABC is the pre-image
AFGH is the pre-image and AABC is the image.
Both triangles are images.
The image cannot be determined from the graph.
Given:
A graph that contains image and preimage.
To find:
Which figure is the preimage and which figure is the image.
Solution:
Initial figure is known as preimage and translated figure is known as image.
It is given that a triangle was translated 4 units down. It means, the upper triangle is preimage and the lower triangle is the image.
So, ΔFGH is the pre-image and ΔABC is the image.
Therefore, the correct option is B.
the answer is B :0
i got it right on my assignment !!!!
solve pleasee
Consider a continuous-time LTI system with impulse response \[ h(t)=e^{-4|t|} \text {. } \] Find the Fourier series representation of the output \( y(t) \) for each of the following inputs: (a) \( x(t
The Fourier series representation of the output \(y(t)\) for different inputs can be found by convolving the input signal with the impulse response \(h(t)\).
For the given input \(x(t) = 1\), the output can be found by convolving \(x(t)\) with \(h(t)\). The Fourier series representation of the output can be obtained by taking the Fourier transform of the convolved signal.
Since \(h(t)\) is an even function, the Fourier transform of \(h(t)\) is a real and even function. Thus, the Fourier series representation of the output will only contain cosine terms.
To calculate the Fourier series coefficients, we need to find the integral of the product of the impulse response and the cosine functions.
Using the property that \(\cos(at)\) is even and \(\int_{-\infty}^{\infty} \cos(at) \, dt = \pi \delta(a)\), where \(\delta\) is the Dirac delta function, we can simplify the calculation.
By evaluating the integrals, we can determine the values of the Fourier series coefficients, and thus, obtain the Fourier series representation of the output \(y(t)\).
In summary, to find the Fourier series representation of the output \(y(t)\) for the given inputs, we need to convolve the inputs with the impulse response \(h(t)\), calculate the Fourier series coefficients using the properties of even functions and the Dirac delta function, and then express the output in terms of the cosine terms.
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find the area of the surface obtained by rotating the given curve about the x-axis. x = 20 cos 3 ( θ ) , y = 20 sin 3 ( θ ) , 0 ≤ θ ≤ π 2
The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution
To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:
A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ
In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).
Plugging these values into the surface area formula and simplifying, we get:
A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ
Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.
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find the 38th term of the sequence. 359, 352, 345
Answer:
93
Step-by-step explanation:
each term is being subtracted by 7
knowing that if we multiply 7 by 38 then we will find how much to subtract 359 by , which is 266, to find the 38th term
that's my way of finding the solution
another oneee thanks strangers
Answer:
*8
Step-by-step explanation:
6.75*8=54
Answer:
8
Step-by-step explanation:
..…..............…...
Question 1 a) Loan Amount \( =\$ 300 \) Advance amount \( =\$ 160 \) Remaining Amount To be paid \( =\$ 300-160=\$ 140 \) Time \( =2 \) weeks Calculate interest rate?
The interest rate in this case is 0%.
To calculate the interest rate for a loan with a loan amount of $300, an advance amount of $160, a remaining amount to be paid of $140, and a time of 2 weeks, follow the steps below:
Step 1: Find the total amount paid
Total amount paid = Advance amount + Remaining amount to be paid
Total amount paid = $160 + $140Total amount paid = $300
Step 2: Find the interest
Interest = Total amount paid - Loan amount
Interest = $300 - $300
Interest = $0
Step 3: Find the interest rate
The interest rate is the percentage of the loan amount that has to be paid as interest.
Hence, the interest rate is 0%.
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According to the general equation for conditional probability, if PLAN B)
==and P(B) =
7/24 what is P(AB9?
A.4/7
B.3/7
C.5/7
D.2/7
Answer:
A.4/7
Step-by-step explanation:
P(A/B) =P(AnB) /P(B)
=1/6/7/24
=1/6×24/7
=4/7
What does the following statement do?
double *num2;
A) Declares a double variable named num2.
B) Declares and initializes an pointer variable named num2.
C) Initializes a variable named *num2.
D) Declares a pointer variable named num2.
E) None of these
The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.
The asterisk (*) before the variable name indicates that num2 is a pointer variable. Pointers are variables that store memory addresses rather than values directly. In this case, the pointer variable num2 is expected to hold the memory address of a double type variable. However, the statement does not initialize the pointer or assign any specific memory address to it.
Therefore, The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.
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The statement 'double *num2;' declares a pointer variable named num2.
The statement 'double *num2;' is used to declare a pointer variable named num2. In programming, a pointer is a variable that stores the memory address of another variable. The asterisk (*) is used to indicate that num2 is a pointer variable. The 'double' keyword is used to specify the type of variable that num2 can point to, in this case, a double variable.
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What is the total surface area of a triangular prism.
3 (hight) × 8 (base) = 24
24 ÷ 2 = 12 (area of triangle)
12 × 2 = 24 (because there are 2 triangles)
5 × 7 = 35 (because length times width)
35 × 2 = 70 (because there are 2 rectangles)
8 × 7 = 56 (because of the base)
ANSWER24 + 12 + 24 + 35 + 70 + 56 = 221
60 cookies in each package how many cookies in each package
you said 60 in each pack so 60 will be the answer
What is an equation of the line that passes through the points (-6,3) and
(-6, 6)?
Answer:
x = -6
Step-by-step explanation:
The points create a vertical line.
If a=3 and b=5 , find a/(a+b)=
If a = 3 and b = 5, find a/(a+b).
\( \bf \frac{a}{a + b} = \\ \\ \bf = \frac{3}{3 + 5} = \\ \\ \bf = \red { \boxed{ \bf \frac{3}{8}} } \)
Where is the outlier in a data set?.
Answer:
It is data outside what you would expect.
Step-by-step explanation:
An example would be if I asked everyone is a class how many dogs they dad living with them. I would expect to get answers like 0, 1, 2, 3 or 4. If someone answered 115 that would be be an outlier, it is outside all of the data that I have collected.
Segment ol is a median to the segment cd. cl is =3x-6. ld is =7x-22. find the length of segment cd hi
Length of segment 'cd' = 12 units
Given:-
'ol' is the mid-point of line segment 'cd'
'cl' = 13x + 8
'ld' = 23x - 4
We have to find the length of segment 'cd'.
Since the point 'ol' is the median to the segment cd then two expressions given 'cl' and 'ld' must add up to 'cd'.
'cd' = 'cl' + 'ld'
'cd' = (3x - 6) + (7x - 22)
'cd' = 10x - 28
- To determine the value of x we can also say that 'cl' and 'ld' must be equal because 'ol' is the common mid-point on the line segment 'cd'. So we can write:
'cl' = 'ld'
3x - 6 = 7x - 22
22 - 6 = 7x - 3x
16 = 4x
x = 4 units
- Now substitute the value of x in the expression developed for 'cd' as follows:
'cd' = 10x - 28
'cd' = 10 × 4 - 28
cd = 40 -28
'cd' = 12 units.
Therefore, the length of segment 'cd' is 12 units.
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what is the aspect ratio of a webpage set to 1440x1080
The aspect ratio of a webpage set to 1440x1080 is 4:3.
Aspect ratio is the ratio of the width to the height of a screen or an image. It is commonly expressed as two numbers separated by a colon, such as 16:9 or 4:3. To determine the aspect ratio of a webpage set to 1440x1080, we need to divide the width by the height and simplify the resulting fraction.
If the unit of measurement is pixels:
Width = 1440 pixels
Height = 1080 pixels
Aspect ratio = Width/Height = 1440/1080 = 4/3
Therefore, the aspect ratio of a webpage set to 1440x1080 pixels is 4:3.
If the unit of measurement is inches or any other physical unit:
The aspect ratio will depend on the physical dimensions of the screen.
To calculate the aspect ratio, we need to divide the physical width by the physical height.
Therefore, the aspect ratio of a webpage set to 1440x1080 in inches or any other physical unit cannot be determined without additional information about the physical dimensions of the screen.
Therefore, the aspect ratio of a webpage set to 1440x1080 is 4:3, which is found by dividing the width by the height
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PLEASE HELP!!!!
A
B
C
D
Answer:
c
Step-by-step explanation:
when there is subtraction you add the number with the variable on each side to get it by it's self
+515=y-5+5
20=y
Answer:
A. 10=y
B.-5=y
C.0=5y
D.15=20y
Step-by-step explanation:
Identify whether the expressions are equivalent or not equivalent: 7y – 15 + 2y and 9y - 15
Answer:
Yes, the two expressions are equivalent
The given expression 7y - 15 + 2y and 9y - 15 are equivalent.
What is equivalent expression?
Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same, even they look different.
According to the given question.
We have two expressions
\(7y - 15 + 2y ...(i)\)
And, \(9y - 15 ...(ii)\)
The expression (i) can be written as
\(7y - 15 + 2y\)
\(=(7y + 2y)-15\) (adding the like terms)
\(= 9y -15\)
Hence, the given expression 7y - 15 + 2y and 9y - 15 are equivalent.
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if p = 2-5 and q = 8x3 find 3p-q
Answer:
3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.
The time t (in minutes) needed to read an article appearing on a foreign-language placement test is given by the probability density function f(t) = 0.012t2 − 0.0012t3, 0 ≤ t ≤ 10. For a test taker chosen at random, find the probability that this person takes 9 minutes or more to read the article. (Round your answer to four decimal places.)
The probability that a test taker chosen at random takes 9 minutes or more to read the article is 0.38. Rounded to four decimal places, this is 0.3800.
To find the probability that a test taker chosen at random takes 9 minutes or more to read the article, we need to calculate the integral of the probability density function f(t) from 9 to 10 (since t is between 0 and 10).
∫(9 to 10) 0.012t^2 − 0.0012t^3 dt
Using the power rule of integration, we get:
[0.004t^3 - 0.0003t^4] from 9 to 10
Substituting the limits, we get:
[0.004(10)^3 - 0.0003(10)^4] - [0.004(9)^3 - 0.0003(9)^4]
Simplifying, we get:
0.38
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