The inequalities are matched with their correct graph respectively as follows:
D ⇒ {(x, y): y > x²}.G ⇒ {(x, y): y ≥ x²+ 3C ⇒ {(x, y): y ≤ 3x² + 2}A ⇒ {(x, y): y ≥ 2x² - 5x + 1}J ⇒ x²- 3x ≥ 0H ⇒ x² - 3x + 2 ≤ 0B ⇒ {(x, y): y ≤ 1 - x²} B ⇒ {(x, y): y ≥ -1}What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.
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Complete Question:
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
1. A = {(x, y): y > x^2}
2. B = {(x, y): y ≥ x^2+ 3}
3. C = {(x, y): y ≤ 3x^2 + 2}
4. D = {(x, y): y ≥ 2x^2- 5x + 1}
6. x^2- 3x ≥ 0
7. x^2- 3x + 2 ≤ 0
8. {(x, y): y ≤ 1 - x^2}
9. {(x, y): y ≥ -1}
Jim packed 24 frenks for lunch. Jim ate 45 percent of the frenks. What
fraction of the frenks did Jim eat?
Answer:
11 franks
Step-by-step explanation:
1) Round 45% to 50% to simplify.
2) Now, we need to find out what 50% of 24 is.
12 is 50% of 24.
3) If 12 is 50%, we can make an educated guess and say...
Jim ate 11 franks for lunch.
Answer:
10 4/5
Step-by-step explanation:
the equation is p%*x=y
45%/100=.45
.45*24=10.8
10.8=10 4/5
Find the slope of the line passing through the points (5,9) and (5, - 7)
Answer:
9/11
Step-by-step explanation:
Last week, Jaime spent 34, 30,45,30,40,38,
and 28 minutes practicing for football. Find
the ________________
.Round to the
nearest whole number,
Answer:
35 average minutes at practice.
Step-by-step explanation:
Answer:
What do I find?
If it's the mean then the answer is 35.
Step-by-step explanation:
34, 30, 45, 30, 40, 38, 28 ==> 7 numbers
34+30+45+30+40+38+28=245
245/7=35
what is the median and range of the data
The median and the range of the given data above would be =5 and 11 respectively.
How to calculate the median and range of a given data?The range of a data set can be calculated by the subtraction of the largest variable form the smallest variable of a data set.
That is;
Data set = 1,1,1,1,2,2,2,5,6,6,6,8,9,10,12
largest variable = 12
smallest variable = 1
range = 12-1 = 11
The median of the data set is the figure that fall at the middle of the data set after being arranged either in ascending or descending order.
The median of the data = 5
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Express 12 000 iin standard form?
Answer:
the answer will be
1.2x10⁴
hope it helps
Answer:
We have been provided the number, 3430000. Therefore, the standard form is, 3430000=3.43×106, here, we have moved 6 places to the left. Hence, the standard form of 3430000 is 3.43×106. Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form.
Is Noah correct? Yes or no and why
Answer:
He is not correct.
Step-by-step explanation:
This is because when you subtract -11 and 10.75, you get the answer of -21.75 instead of -0.25. He added the expression instead of subtracting it. Hope it helps
Which of the following shows the situation below in function notation?
The time it takes to read a book depends on the number of
pages in the book.
O A. Book(pages)
O B. Time(pages)
O c. Pages(time)
O D. Book(time)
Answer:
B.
Step-by-step explanation:
The time is a function of the number of pages.
Time(pages)
Answer: B.
Find the orthogonal complement W⊥ of W and give the basis for W⊥.[xW={ y :x+y-z=0}z]
The orthogonal complement W⊥ of W, where W = {y : x + y - z = 0}, is spanned by the vector [1, -1, 1].
To find the orthogonal complement W⊥ of W, we need to find vectors that are orthogonal (perpendicular) to every vector in W.
The set W consists of vectors [y, x, z] that satisfy the equation x + y - z = 0.
For a vector [a, b, c] to be in W⊥, it should satisfy the condition a(y) + b(x) + c(z) = 0 for all vectors [y, x, z] in W.
Substituting the values from W into the equation, we have a(y) + b(x) + c(z) = a(x + y - z) + b(y) + c(z) = ax + ay - az + by + cz = (a + b)x + (a + b)y + (c - a)z = 0.
This gives us the following equations: a + b = 0, a + b = 0, and c - a = 0.
Solving these equations, we find that a = -b and c = a.
Therefore, the vectors in W⊥ can be written as [a, -a, a], where a is any real number
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what digit in the thousands place in the decimal 5765.903
Answer: 5
Step-by-step explanation:
5765.903
going backwards-in front of the decimal -5 ( ones place) 6 (tens place) 7 ( hundreds) 5 (thousands) .
.9 ( tenths) 0 (hundredths) 3 (thousandths)
x/16- (x+2)/8=2 pls help, need answer soon.
Answer:
x = -36
Step-by-step explanation:
Step 1: Write equation
x/16 - (x + 2)/8 = 2
Step 2: Solve for x
Multiply both sides by 16: x - 2(x + 2) = 32Distribute -2: x - 2x - 4 = 32Combine like terms: -x - 4 = 32Add 4 to both sides: -x = 36Divide both sides by -1: x = -36Step 3: Check
Plug in x to verify it's a solution.
-36/16 - (-36 + 2)/8 = 2
-9/4 - -34/8 = 2
-9/4 + 17/4 = 2
8/4 = 2
2 = 2
how much string is left when 1 and 3/4 in are cut from a piece measuring 3 and 1 /6 inches
There is 1.41666... (repeating decimal) string left when 1 and 3/4 are cut from a piece measuring 3 and 1 /6 inches.
At a conference, there are 90 math teachers and 75 science teachers. write the ratio of math teachers to science teachers in simplest form.
Answer:
6:5 or \(\frac{6}{5}\)
Step-by-step explanation:
\(\frac{90}{75}\) Divide by \(\frac{15}{15}\)
\(\frac{6}{5}\) or 6:5
Which is the most accurate measurement for the line segment?
Answer:
Step-by-step explanation:
So, a line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length. The length of a line segment can be measured either in metric units such as millimeters, centimeters, or customary units like feet or inches.
please help i’m confused
Answer:
The answer is A. t = 0.4n
Step-by-step explanation:
See how on the graph, when n is 2, t is around 1? We just plug in 2 into n into the equation, t=0.4n. 0.4 times 2 is 0.8, so t=0.8. 0.8 is around 1, so a is right. If we tried the same thing with one of the other choices, like B. t=2.5n, then plugging in 2 into n would give us 2 times 2.5, which is 5. 5 is nowhere around 1, making it wrong.
Find the slope and the y-intercept of the line.
y=x+3
slope:
y-intercept:
The slope (m) of the line y = x + 3 is 1, while the y-intercept of the line is 3.
What is the Slope and Y-intercept of a Line?If an equation of a line is expressed in slope-intercept form as y = mx + b, we can easily determine its slope and the y-intercept which are:
m is the slope
b is the y-intercept.
Given the equation y = x + 3, therefore:
the coefficient of x is the slope (m), which is 1.
the y-intercept (b) of the line is 3.
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Probably really easy and I’m just overthinking it but please help me
42 divied by 3kg the after you get that answer then multiply that by 4kg
Step-by-step explanation:
3 kg of rump steak = £ 42
So, 1 kg of rump steak = £ 42/3 = £ 14
So, 4 kg of rump steak = £ 14 × 4 = £ 56
The price of a flight was increased by 2% to £700. What was the price before the increase? Give your answer to the nearest penny.
Answer:
$686.27
Step-by-step explanation:
700$=102% so the price before the increase was 100%
The population of a city is increasing at a steady rate of 2.4% per annum.
The current population is 528 000.
What is the expected population in 4 years?
Give your answer to the nearest thousand.
The expected population of a city in 4 years is 581,000.
What is defined as the rate of population growth?The average annual rate of change in population size for a specific ethnicity, country, or region over a given time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and also the total population in that year.Current population (P) = 528 000.
Rate of growth (r) = 2.4%
Time t = 4 years
Expected population (A) = ?
The formula used is-
A = P(1 + r/100)∧t
Put the values.
A = 528 000(1 + 2.4/100)∧4
A = 528 000 x (1.042)∧4
A = 581,000
Thus, the expected population of a city in 4 years is 581,000.
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Using the figure below, tell if the triangles are congruent, and if so by what theorem?
a. Yes, they are congruent by SSS theorem.
b. Not enough information to answer the question.
c. Yes, they are congruent but there is not a reason why..
d. No, they are not congruent.
An ice cream cone measures 4 in across the opening of the cone. Two hemisphere shaped scoops of ice cream, which have diameters of 4in, are placed on top of the cone. As the ice cream melts, it begins to fill the ice cream cone. How deep must the cone be so that the melted ice cream will fill the cone exactly to the top without overflowing?
Answer:
8 inches
Step-by-step explanation:
The volume of a hemisphere is half the volume of a sphere.
Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.
If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.
As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.
The formulas for the volume of a cone and the volume of a sphere are:
\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\) \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}\)
The depth of the cone is its height.
Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).
\(\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}\)
Therefore, the depth of the cone must be 8 inches.
The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.
1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.
2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.
3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.
4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.
- For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.
5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.
6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.
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For geometry please help
To prove a
triangle is isosceles without the measures of each side , you need to know the?
You can use one of the following properties to prove that a triangle is isosceles without knowing the measure of each side.
How to prove isosceles traiangleAngle-Angle (AA): A triangle is equal if two angles of one triangle meet (equal in measure) two angles of another triangle. For an isosceles triangle, if you can prove that two angles are equal, then the triangle must be an isosceles triangle. This is because two right angles are the defining feature of an isosceles angle, as opposed to two congruent sides.
Base Angles: If the base angles of a triangle are equal (equal in measure), then the triangle is isosceles. This is because in an isosceles triangle, the base angles are always congruent.
Vertex angle bisection: If the vertex angle bisector of a triangle is also a perpendicular bisector of the opposite side (base), then the triangle is isosceles. This is because in an isosceles triangle, the two sides of the vertex angle always bisect the base and are perpendicular.
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9. Find the measure of <1 and <3 of the kite. (2 points)
Step-by-step explanation:
in a kite all measurements on one side of the symmetry line are the same as on the other side.
and the diagonals intersect each other at 90°.
in that regard it is important to remember that the sum of all angles in a triangle is 180°.
so, for angle 1
180 = 48 + 90 + angle1
angle1 = 42°
angle3 = 48°
A rectangle is 3 times as long as it is wide. The perimeter is 120 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Question 3 of 10
What are the domain and range of the function represented by the table?
х
-5
0
5
10
15
|
у
-1
0
1
2
3
O A. Domain: -5 sxs 15
Range:{-1,0, 1, 2, 3}
O B. Domain: {-5, 0, 5, 10, 15}
Range: -1 sys3
O C. Domain: {-1,0, 1, 2, 3}
Range:{-5, 0, 5, 10, 15}
D. Domain:{-5, 0, 5, 10, 15)
Range:{-1,0, 1, 2, 3}
Given:
The table of values of a function.
To find:
The domain and range of the given function.
Solution:
Domain: The set of input values of x-values is known as domain.
Range: The set of output values of y-values is known as domain.
From the given table it is clear that x-values are \(-5,0,5,10,15\) and the y-values are \(-1,0,1,2,3\). So,
\(Domain=\{-5,0,5,10,15\}\)
\(Range=\{-1,0,1,2,3\}\)
Therefore, the correct option is D.
The domain and range of the function represented by the table is as follows:
Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}What are domain and range of a function?The domain of a function is the set of input values, x, for which a function is defined. The domain is the input of the function. The domain is the sets of all input value that produces the output value.
The domain are likewise called input . The domain are usually the x values
The set of values the function outputs is termed the range of the function. In a simpler term, the range are the output of the function. The range are usually the y values.
Therefore, the domain and range of the function represented by the table is as follows;
Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}learn more on domain and range here; https://brainly.com/question/25173046
c(n)=−
2
9
(−
3
4
)
n−1
Answer:
-11
Step-by-step explanation:
jmNNajajmaamanahsbebsmsmsjshshhssbbssbshshsbsbsvshsnsnsbsjsAnswer:
c(n) = -9/2 (-4/3)^ (n-1)
The 2nd term is 6.
Step-by-step explanation:
This is an explicit formula. In order to find the 2nd term, you need to plug in n=2.
Figure ABCD is a parallelogram.
What is the value of x?
1. 6
2.7
3.8
4.9
Please help fast!!!
Answer:
x = 7
Step-by-step explanation:
Parallel sides have to be the same length
5x+3 = 38
Subtract 3 from each side
5x+3-3 = 38-3
5x = 35
Divide by 5
5x/5 = 35/5
x = 7
Find the average value fave of the function f on the given interval. f(x) = 7 sin(4x), [−, ]
The average value fave using the formula fave = (1 / (b - a)) ∫[a,b] 7 sin(4x) dx. The definite integral of f(x) over the interval [a, b] is:
∫[a,b] 7 sin(4x) dx = -7/4 [cos(4x)] [from a to b]
To find the average value fave of the function f(x) = 7 sin(4x) on the given interval, we need to calculate the definite integral of the function over the interval and then divide it by the length of the interval.
The given interval is specified as [−, ], where the lower and upper limits are missing. To proceed with the calculation, we need the specific values for the lower and upper limits of the interval. Please provide the missing values so that we can compute the average value of the function.
Once we have the interval limits, we can calculate the definite integral of f(x) = 7 sin(4x) over that interval. The integral of sin(4x) with respect to x is evaluated as -cos(4x) / 4. Therefore, the definite integral of f(x) over the interval [a, b] is:
∫[a,b] 7 sin(4x) dx = -7/4 [cos(4x)] [from a to b]
Next, we need to find the length of the interval, which is given by b - a.
Finally, we can compute the average value fave using the formula:
fave = (1 / (b - a)) ∫[a,b] 7 sin(4x) dx
By plugging in the specific values for a, b, and evaluating the definite integral, we can calculate the average value fave of the function f(x) over the given interval.
Please provide the missing values for the interval, and I'll be able to assist you in finding the average value fave in a more specific manner.
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A small college has 800 students, 10%, percent of which are left-handed. Suppose they take an SRS of 30 students. Let X= equals the number of left-handed students in the sample.
What is the probability that less than 7 of the 30 students are left-handed?
.
The probability that less than 7 of the 30 students are left-handed is given as follows:
0.9742 = 97.42%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 30, p = 0.1.
The probability that less than 7 of the 30 students are left-handed is given as follows:
P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
Using a binomial distribution calculator with the parameter, finding each of the probabilities and adding them, we have that:
P(X < 7) = 0.9742 = 97.42%.
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7 (10s – 10) =
!!!!!!!!!!!!!
Answer:
Your answer will be 70s-70
Step-by-step explanation:
according to bodmas
hope this helped you
Answer:
\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)
\(7(10s - 10) \\ = (7 \times 10s) - (7 \times 10) \\ = 70s - 70 \\ = 70(s - 1)\)
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