Ordered pair (0, 6) and (2, 7) satisfy both inequalities in the system and are solutions to the system.
To identify the graph that represents the given system of inequalities y > x + 5 and y ≥ 2x + 3, we need to graph the individual inequalities and find the region where they overlap.
When we plot the graph of inequality separately:
y > x + 5:Draw a dashed line y = x + 5 (not including the line).Shade the region above the line.2. y ≥ 2x + 3:
Draw a solid line y = 2x + 3 (including the line).Shade the region above the line.The overlapping shaded region represents the solution to the system of inequalities.
To find two ordered pairs that are solutions to the system, we can choose any points within the overlapping region. Let's select two points:
Ordered pair 1: (0, 6)
Ordered pair 2: (2, 7)
These two points satisfy both inequalities in the system and are solutions to the system.
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The correct question is given below -
Identify the graph that represents the given system of inequalities. Also identify two ordered pairs that are solutions to the system.
y > x + 5
y ≥ 2x + 3
Victoria has another account at the bank
that pays 22% simple interest. How
much interest will she earn in 8 years on
an initial deposit of $250 assuming she
neither adds to nor withdraws from the
account?
Answer:
R=22% , T=8yrs , P=$250
I=PRT/100
I=250×22×8/100
I=$440.00
The Interest that's earned will be $440.
The formula for calculating simple Interest will be:
= PRT/100
where,
P = $250
R = 22%
T = 8 years
Therefore, the simple interest will be:
= (250 × 22 × 8) / 100
= 44000/100
= 440
Therefore, the simple interest is $440.
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Part A
View the graph of f(x) =- 2x2 - 4x + 3 in Desmos. Can the graph of f(x) be
the equation that matches this graph above? Explain your reasoning using
complete sentences.
What the answer ?
Fully factorise 8q+20
Answer:
4 ( 2q + 5 )
Step-by-step explanation:
8q + 20
HCF is 4
= 4 ( 2q + 5 )
pls rate as brainliest
Julia performs an experiment to measure the wavelength of four different waves and records her data in the table below. A 2-column table with 4 rows titled Julia's Waves. The first column labeled Wave has entries 1, 2, 3, 4. The second column labeled Information has entries this wave has 3 centimeter amplitude, the distance from the midpoint to the crest is 6 centimeters, the distance from the midpoint to the trough is 12 centimeters, this wave has a 4 centimeter amplitude. Which accurately ranks the waves from the lowest energy wave to the highest energy wave? 1 → 4 → 3 → 2 2 → 3 → 4 → 1 3 → 2 → 4 → 1 1 → 4 → 2 → 3.
Table is a way to represent the data of the two or more variable.
The correct order for the ranks of the waves from the lowest energy wave to the highest energy wave of the given table is 1-4-3-2. Thus the option 1 is the correct option.
How to read the data from the table?Table is a way to represent the data of the two or more variable.
To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Given information-
The first column labeled Wave has entries 1, 2, 3, 4.
The table given in the problem is,
First column Second column
1 This wave has 3 centimetre amplitude
2 The distance from the midpoint to the crest is 6 cm,
3 The distance from the midpoint to the trough is 12 cm,
4 This wave has a 4 centimetre amplitude.
The ranks of the waves from the lowest energy wave to the highest energy wave of the given table has to find out.
As the energy of a wave is related to the amplitude of the wave, as the how much amount of energy it is carrying with it.
The distance from the midpoint to the crest is called the amplitude.
Thus the more value of the amplitude gives the more energy.
Therefore,
The wave with 3 centimetres amplitude has the lowest energy. The wave with 4 centimetres amplitude has the second lowest energy. The wave with 6 centimetres amplitude has the second highest energy. The wave with 12 centimetres amplitude has the highest energy.Hence, the correct order for the ranks of the waves from the lowest energy wave to the highest energy wave of the given table is 1-4-3-2. Thus the option 1 is the correct option.
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Answer:
A
Step-by-step explanation:
do this correctly for 20 points and brainliest! Please help
Answer:
Step-by-step explanation:
It is shaded on the top side because y is greater than or equal to 2x
5 apples for $6.25 or 8 apples for $9.25. Which is the better deal?
The option that is the better deal between both deals for apples, is 8 apples for $9.25.
How to find the better deal?The better deal on the apples would be the deal that gives the lower amount per apple. This means that the deal that leads to each individual apple having a lower price is the deal that should be considered best.
To find the price of an apple, you would need to divide the price of the deal given, by the number of apples in the deal.
The first deal would therefore have a per apple price of :
= Price of deal / Number of apples
= 6. 25 / 5 apples
= $ 1. 25 per apple
The second deal would be :
= Price of deal / Number of apples
= 9. 25 / 8 apples
= $ 1. 16 per apple
The better deal is therefore 8 apples for $9.25.
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Find the value of r in the equation below.X-17 = 12
Answer : x = 39
We are given the equation
x - 17 = 12
First, isolate the value of x
When you isolate the value of x, the figure 17 cross the equality sign and change to positive
x = 12 + 17
x = 39
Simplify the algebraic expression: 4n + 19 + 3n - 2n - 5 A. 19n B. 33n C. 5n + 14 D. 9n + 24
\(\huge\text{Hey there!}\)
\(\large\text{4n + 19 + 3n - 2n - 5}\)
\(\large\text{COMBINE the LIKE TERMS}\)
\(\large\text{(4n + 3n - 2n) + (19 - 5)}\)
\(\large\text{4n + 3n - 2n}\\\large\text{4n + 3n = \bf 7n}\\\large\text{7n - 2n = \bf 5n}\)
\(\large\text{5n + (19 - 5)}\)
\(\large\text{19 - 5 = \bf 14}\)
\(\large\text{= \bf 5n + 14}\)
\(\boxed{\boxed{\large\textsf{Answer: \huge \bf Option C. 5n + 14}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
I need help with these question my teacher doesnt explains that well
the formulam of the volume is
\(V=\frac{\pi\times r^2\times h}{3}\)where r is the radius and h the height
r=3/5 because is the half of diameter
h=10
so replacing
\(\begin{gathered} V=\frac{\pi\times(\frac{3}{5})^2\times10}{3} \\ \\ V=\frac{\pi\times\frac{9}{25}\times10}{3} \\ \\ V=\frac{6}{5}\pi\approx3.78 \end{gathered}\)the volume of the cone is 3.78 square millimeters
\(\frac{\frac{9}{25}\times10}{3}=\frac{\frac{90}{25}}{\frac{3}{1}}\)the red multiplication is the numerator and green the denomintor
\(\frac{90\times1}{25\times3}=\frac{90}{75}\)simplify by 15
\(\frac{\frac{90}{15}}{\frac{75}{15}}=\frac{6}{5}\)and then add the pi
How many times will the graph of this equation cross the x-
axis?
y= 22^2– 7x - 9
Describe the difference between null vs alternative hypothesis
Statistical hypothesis testing employs the null and alternate hypotheses.
The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.
A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.
Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.
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given that rectangle MNOP~ rectangle STUV~, what is the length of ___
TU
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,
\(\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}\)
Similarly, the breadth will be,
\(\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5\)
Hence, the value of x or the length of TU is 22.5.
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please help me!!
will mark brainliest!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) =3/4 f(x)
Graph function g on the same coordinate plane.
The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.
Determine the scale factor for the transformation. In this case, the scale factor is 3/4.
Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.
For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).
Connect the plotted points with a smooth curve to obtain the graph of g(x).
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A car travels 300 m in the first minute, 420 m in the next minute, 540 m in the third minute, and so on in an arithmetic sequence. What's the total distance the car travels in 1 hour?
Distance travelled by the car in 1 hour is 7380m
What is arithmetic sequence?In an arithmetic sequence the difference between the consecutive terms is always constant. Using arithmetic sequence, it is easier to predict a term in the given sequence or progression. Following is the equation used:
\(A_{n}\)= A₁ + (n-1) d
Where,
\(A_{n}\) = nth term of the sequence
A₁ = first term of the sequence
n = terms given in the sequence
d = common difference between progressive terms
Now, in the given question,
\(A_{n}\) = the distance travelled by car in 1 hour
A₁ = 300m (initial distance)
n = 60 minutes
d = 120m (difference between the progressive distance at each minute)
Since, \(A_{n}\) = A₁ + (n-1) d
\(A_{n}\) = 300+(59)*120
300 + 7080 = 7380
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The points A,B and C lie on a straight line
The coordinates of A are (9,0)
The coordinates of B are (7,4)
The coordinates of C are (1,q)
Work out the value of q
The value of q is 16.
What are Collinear Points?Collinear points are the points which are formed on a straight line, whether they are close or far away.
If three or more points are collinear, then they form on the same line.
The slope of each pair of points will be same.
Here if A, B and C are collinear,
Slope of AB = Slope of BC
(4 - 0) / (7 - 9) = (q - 4) / (1 - 7)
-2 = (q - 4) / -6
q - 4 = 12
q = 16
Hence the value of q is 16.
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If l is parallel to m find the value of each missing variable
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ___________- as the margin of error increases.
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.
The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).
Here, the population standard deviation, and level of significance are the same.
As the margin of error increased.
So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size
\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)
As the margin of error is in the denominator position in the sample size formula
Hence with an increase in the margin of error sample size decreases.
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One year, the population of a city was 352,000. Several years later it was 337,920.
Find the percent decrease.
hi
here is the method :
you take Value 1 and Value 2
And you do : ( Value 2 - Value 1) / (Value 1 ) * 100
Here we have : Value 1 = 352 000
Value 2 = 337 920
So now we apply :
( 337 920 - 352 000 ) / ( 352 000) * 100 = -4
Population decreased by by 4 %
You can also make :
352 000 * X = 337 920
X = 337 920 / 352 000
X = 0.96
if the multiplier is 0.96 , it's mean that we lost 1 -0.96 = 0.04
which mean - 4%
The solution is, the percent decrease is 4%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
One year, the population of a city was 352,000.
Several years later it was 337,920.
now,
the method :
you take Value 1 and Value 2
And you do : ( Value 2 - Value 1) / (Value 1 ) * 100
Here we have : Value 1 = 352 000
Value 2 = 337 920
So now we apply :
( 337 920 - 352 000 ) / ( 352 000) * 100 = -4
Population decreased by by 4 %
You can also make :
352 000 * X = 337 920
X = 337 920 / 352 000
X = 0.96
if the multiplier is 0.96 , it's mean that we lost 1 -0.96 = 0.04
which mean is 4%
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when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same
Answer:
normal force decreases
Step-by-step explanation:
N=mgcosθ, and cosine decreases as theta increases
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Answer:
A) decreases
Step-by-step explanation:
As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.
The critical value, or z*, that is used to construct a confidence interval for a proportion depends upon? A. the confidence level. B. the sample size.C. the confidence level and the sample size. D. the sample size and the sample proportion. E. the confidence level, the sample size, and the sample proportion.
The critical value that is used to construct a confidence interval for a proportion depends upon C. the confidence level and the sample size.
The critical value used to construct the confidence interval for proportion depends on:
1) The sample size:
The probability changes as the sample size changes as the distribution of the test statistics is dependent on sample size, thus the critical value will depend on sample size.
2) The confidence level:
The critical value is always calculated by using the confidence level, so it is dependent on it.
The sample proportion is the observed value which is used to perform the test, but not to construct the critical value.
Thus the correct option is:
Option C: The confidence level and sample size.
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PLEASE HELP I NEED THE ANSWER TO BOTH QUESTIONS I GIVE BRAINLIEST
Answers: Angle ABE = 117 And DBE = 27
Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x4−8x2+6 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local maximum and minimum values of f. local minimum value local maximum value (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) (x,y)=((x,y)=( Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down.(Enter your answer using interval notation.)
The function f(x) = x⁴ - 8x² + 6 is increasing on the intervals (-2, 0) and
(2, ∞), decreasing on the intervals (-∞, -2) and (0, 2), has a local minimum at x = -2 with a value of -10, a local maximum at x = 0 with a value of 6, and has inflection points at x = -2 and x = 2.
To find the intervals of increasing and decreasing for the function
f(x) = x⁴ - 8x² + 6, we first take the derivative. The derivative is
f'(x) = 4x³ - 16x. We then find the critical points by setting f'(x) equal to zero:
4x³ - 16x = 0. Factoring out 4x, we get
4x(x² - 4) = 0, which gives us
x = 0,
x = -2, and
x = 2 as critical points.
Next, we test the intervals between the critical points and endpoints by choosing test values and evaluating the sign of the derivative. We find that f is increasing on the intervals (-2, 0) and (2, ∞), and decreasing on the intervals (-∞, -2) and (0, 2).
To find the local maximum and minimum values, we evaluate the function at the critical points and find that
f(-2) = -10 and
f(0) = 6, indicating a local minimum and maximum, respectively.
For inflection points, we look at the concavity of the function. Taking the second derivative,
f''(x) = 12x² - 16. Setting f''(x) equal to zero, we find x² = 4, which gives us
x = -2 and x = 2. By analyzing the concavity on the intervals, we determine that the function changes concavity at x = -2 and
x = 2.
Therefore, the function
f(x) = x⁴ - 8x² + 6 is increasing on the intervals (-2, 0) and (2, ∞), decreasing on the intervals (-∞, -2) and (0, 2), has a local minimum at
x = -2 with a value of -10, a local maximum at x = 0 with a value of 6, and inflection points at x = -2 and
x = 2.
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Solve for x : 4x-6=x+9
4x - 6 = x + 9
4x - x = 9 + 6
3x = 15
\(x = \frac{15}{3} \\ \)
x = 5 ...
Answer:
\(x =5\)
Step-by-step explanation:
\(4x - 6=x+9\)
Subtract x from both sides
\(4x -6-x=x+9-x\)
\(3x-6=9\)
Add 6 to both sides
\(3x-6+6=9+6\)
\(3x=15\)
Divide both sides by 3
\(\frac{3x}{3} = \frac{15}{3}\)
\(x = 5\)
Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
Differentiate the function. \[ f(x)=x^{5} \] \[ f^{\prime}(x)= \]
To differentiate the function f(x) = x^5), we can use the power rule of differentiation. According to the power rule, if we have a function of the form f(x) = x^n), where (n) is a constant, then its derivative is given by:
[f(x) = nx^{n-1}]
Applying this rule to f(x) = x^5), we have:
[f(x) = 5x^{5-1} = 5x^4]
Therefore, the derivative of f(x) = x^5) is (f(x) = 5x^4).
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6/5 Given that and k are roots of the quadratic equation = h(x-2), where h is a constant. Find the values (5x-6)(x+2) of h and k.
Please help me on this
Answer:
PAGE 1
8.) d
9.) b
PAGE 2
6.) b
7.) d
PAGE 3
4.) c
5.) a
PAGE 4
1.) c
2.) c
3.) a
PAGE 5
10.) b
11.) d
Step-by-step explanation:
PAGE 1
8.) x - 20 + x + 10 = 180 (collect like terms)
2x - 10 = 180 (add 10 on both sides)
2x = 190 (divide by 2 on both sides)
x = 95
9.) 2y + y = 180 (collect like terms)
3y = 180 (divide by 3 on both sides)
y = 60
x = y ----> x = 60
PAGE 2
6.) 16x - 6 = 90 (add 6 on both sides)
16x = 96 (divide by 16 on both sides)
x = 6
7.) 5x + 30 = 7x (subtract 5x on both sides)
30 = 2x (divide by 2 on both sides)
15 = x
PAGE 3
4.) <8 and <16 are corresponding angles
5.) 180 - 130 = 50
PAGE 4
1.) HD and GE are skew lines
2.) AC, EG, and BD are parallel to FH
3.) EF, GH, and BF are perpendicular to FH
PAGE 5
10.) | and || only are the only ones correct
11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.
b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.
Hope this helps ya!!
find the expectation value of the position squared when the particle in the box is in its third excited state. answer this question with the correct coefficient of l2 for the expectation value.
The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.
The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),
where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to
\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).
This can be written as nine-eighths of the length of the box squared.
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Given the quantities a=3.7m, b=3.7s, c=80m/s, what is the value of the quantity d=a^3/cb^2?
The value of the quantity d is 0.0462 m^2/s.
Here,
The quantities a=3.7m, b=3.7s, c=80m/s.
We have to find the value of d = a^3/cb^2
What is quantity?
A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.
Now,
The quantities a=3.7m, b=3.7s, c=80m/s.
The value of d;
\(d = \frac{a^{3} }{cb^{2} }\)
\(d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }\)
\(d = \frac{3.7}{80}\)
\(d = 0.0462\)
Hence, The value of the quantity d is 0.0462 m^2/s.
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What is 30/65 in simplest form?
Answer:
Hi, there!
What is 30/65 in simplest form?
30/65 simplified to lowest terms is 6/13.
Writing a fraction in its simplest form means that the top and bottom numbers can no longer be divided by the same whole number exactly or evenly
xXxAnimexXx
Have a great day!