Which graph best represents a function with a domain of all real numbers greater than or
equal to 5?
Answer:
(c)
Step-by-step explanation:
You want the graph that has a domain of x ≥ 5.
DomainThe domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.
Graph C is like that.
John purchased a box of pens consisting of yellow green and blue pens the total number of pens in the box was 200 if 14% were yellow and 34% were green what is the number of blue pens John received write to explain your thinking
Answer:
104 blue pens
Step-by-step explanation:
Number of blue pens
= (100%-14%-34%) × 200
= 52% × 200
= 104
100 Points! Algebra question. Graph the function. Photo attached. Thank you!
The cost of each pound of grass seed is $6.
A graph of the solution for the cost of each pound of grass seed is shown below.
How to determine the cost of each pound of grass seed?In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.
Let the variable x represent the cost of each pound of grass seed.
Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;
3.6x + 1.30 = 22.90
3.6x = 22.90 - 1.30
3.6x = 21.60
x = 21.60/3.6
x = $6.
In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.
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Thank you for the help!
Answer:
c 57
Step-by-step explanation:
How so i slove 9z-63=0
the data set shows the number of passengers on the flights leaving the columbus airport in the next hour. what is the median number of passengers on the flights? round answer to tenths place. if answer is a whole number then put a zero in your answer for the tenths place for it to be counted correct 39, 48. 25, 25, 53, 22, 70, 36
After rounding off the median of the given data would be 38.
What is the median?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.
It could be referred to as "the middle" value for a data set.
The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.
So, calculate as follows:
22, 25, 25, 36, 39, 48, 53, 70
TErms are even: Average of two middle terms to get median.
Median = 36 + 39/2
Median = 37.5
Rounding off: 38
Therefore, after rounding off the median of the given data would be 38.
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A tanker truck containing 900 gallons of gas is emptied at a constant rate of 200 gallons every 2 hours. Enter an equation in the form y = Mx + b that represents the amount of gas y, in gallons, remaining in the truck after x hours.
Answer:
y=200x-900
Step-by-step explanation:
This should be correct but i would check with the teacher but im 90 percent sure
Justin has 8 bags of chips. Everyday he eats 1/2 of a bag of chips. How many days before Justin runs out of chips?
Answer:
16 days
Step-by-step explanation:
multiply 8 by 2 because he is eating 1 bag of chip over the course of 2 days
Answer:
in 16 days he will run out of chips
ANSWER PLEASE! ITS HARD!!Graph the image of triangleXYZ after a dilation with a scale factor of
1
4
and the origin as its center. Then enter an algebraic rule to describe the dilation. Express any fractions in the rule for the dilation in simplest form.
Relax this isn't really that hard. We're given a triangle with coordinates
X(4,4), Y(12,12), Z(4,12)
and we're told to dilate it around the origin by scale factor 1/4. The origin part makes it easy; this just means we multiply all the coordinates by 1/4.
So our new triangle is
X'(1,1), Y'(3,3), Z'(1,3)
which we plot in red.
Is that third page asking for the lengths? We have
X'Y' is the hypotenuse of a right triangle with legs 2 and 2, so
|X'Y'| = 2√2
|Y'Z'| is 3-1 = 2
|Z'X'| = 2
The rule is
(x,y) → (x/4, y/4)
Scale factors are used to enlarge or reduce the size of a shape
The coordinates of the dilated triangle are (1,1), (3,3) and (1,3)
The coordinates of the triangle are given as:
\(X = (4,4)\)
\(Y = (12,12)\)
\( Z = (4,12)\)
The scale factor of dilation is given as:
\(k=\frac 14\)
The coordinates of the new triangle after dilation are calculated as follows:
\(X' = (4,4) \times \frac 14\)
\(X' = (1,1)\)
\(Y' = (12,12) \times \frac 14\)
\(Y' = (3,3)\)
\(Z' = (4,12) \times \frac 14\)
\(Z' = (1,3)\)
So, the dilation rule is:
\((x,y) \to \frac 14(x,y)\)
Hence, the coordinates of the dilated triangle are (1,1), (3,3) and (1,3)
See attachment for the image of the triangle
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Pls help extra points and mark brainlist
Answer:
80 +30h
Step-by-step explanation:
Answer:
80 + 30h
Step-by-step explanation:
Distribute the 10 over the (8 + 3h). This means: multiply 10 by 8 and by 3h.
10 x 8 = 80
10 x 3h = 30h
10(8 + 3h) = 80 + 30h
The students in an eighth-grade class had a dance. They spent $500 for a local band. The equation below can be used to find the total profit, y, if the students sold x tickets to the dance.
f(x) = 4x – 500
james jogged around the track 0.68 hours at an average speed 28.9 miles per hour how far did he jog?
Answer:
Step-by-step explanation:
0.68hr(28.9mi/hr)=19.652mi
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
A machine in a factory can assemble 234 units in 3 hours. Matt wants to write an equation to represent this situation. He says that the independent variable is the number of units assembled; the dependent variable is the number of hours, and the constant of proportionality is 78.
What mistake did Matt make in finding the parts of the equation that represents this relationship?
A. He found the incorrect constant of proportionality.
B. He multiplied the constant of proportionality by the dependent variable.
C. He reversed the independent and dependent variables.
D. He multiplied the number of units by the number of hours instead of dividing.
Answer:
a
Step-by-step explanation:
enjoy!
Answer:
b
Step-by-step explanation:
Johan is mixing paint he mixes 2 2/3 pints of blue paint and 4 1/6 pints of yellow paint. Which of the following has a ratio of blue paint to yellow paint that is proportional to amounts used in johans paint mixture
Answer:
R = 16:25
Step-by-step explanation:
Given that,
Johan mixes 2 2/3 pints of blue paint and 4 1/6 pints of yellow paint.
We need to find the ratio of blue paint to yellow paint. It can be calculated as follows :
\(R=\dfrac{\text{blue paint}}{\text{yellow paint}}\\\\=\dfrac{2\dfrac{2}{3}}{4\dfrac{1}{6}}\\\\=\dfrac{\dfrac{8}{3}}{\dfrac{25}{6}}\\\\=\dfrac{8}{3}\times \dfrac{6}{25}\\\\=\dfrac{16}{25}\)
So, the required ratio is 16:25.
Chris made his aunt a garden. The width is 7 2/5 ft and the length is 5 1/2 ft. What is the area of the garden?
Answer:
Hello! if Chris garden is a square shape then the answer is 40 7/10 in fraction form or 40.7 in decimal form
5. Which of the following is a
true statement?
6.
are
the
the
a. 7 < 165 < 8
b. 2 < 77 <3
c. 10 < 195< 11
d. 13 < V160 < 14
Brainlist. Neeed this ASAP. please its on Simplify Expression and i put the picture below
Answer:
G
Step-by-step explanation:
the perimeter is the sum of all sides so we have
\(P=a^{2} -ab+a-2a+a^2+ab\\\\P=(a^2-2a^2+a^2)+(-ab+2b)+a\\\\P=(0a^2)+(ab)+a\\\\P=ab+a\)
Answer:
G
Step-by-step explanation:
hope this helps!!!!!!!!!m:)
a function f from a to b is a relation from a to b that satisfies two properties: for every xelement of a, there is a y element of b such that element of f for all elements x element of a and both y and z such that y element of b and z element of b: if (x,y) and (x,z) are in f, then
A relation from A to B is a function if it satisfies two properties:
For every x ∈ A, there is a y ∈ B, such that (x,y) ∈ FFor all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.Suppose we have two sets A and B and we have a relation that maps elements of A to elements of B. A relation from A to B is defined as a function if every elements of A is related to exactly one element of B.
Let (x,y) is a pair of input and output. If (x,y) is related by a function f, we can denote (x,y) ∈ F
We can write the first condition as:
For every x ∈ A, there is a y ∈ B, such that (x,y) ∈ FSince x is mapped to the exactly one output, then if both y and z are elements of B and (x,y) and (a,z) are in F, then y must be equal to z. Hence, the second condition is:
2. For all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.
There are typos in your question. Most likely your question was like on the attached picture:
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Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
Answer:
The last graph
Step-by-step explanation:
Graphs 3 and 4 have negative rates of change.
Options C and D are the correct answer.
We have,
The rate of change for the interval 0 to 2 for each graph can be calculated as:
= (b - a) / (2 - 0)
Where (0, a) and (2, b) are the coordinates on each line.
Now,
Graph 1:
Rate of change.
= (0 - (-3) / (2 - 0)
= 3/2
Graph 2:
Rate of change.
= (-2 - (-3) / (2 - 0)
= (-2 + 3) / 2
= 1/2
Graph 3:
Rate of change.
= (-4 - (-3) / (2 - 0)
= (-4 + 3) / 2
= -1/2
Graph 4:
Rate of change.
= (0.5 - 2) / (2 - 0)
= -1.5 / 2
Thus,
Graphs 3 and 4 have negative rates of change.
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I am struggling to find domain and range please help thank you
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
HELP PLS OPEN PIC AND TELL ME HOW TOO DO IT
divide 25 by 3 and 42 by three and plot those numbers
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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need help on this question from edmentum
The correct location of each of the expressions obtained the properties of exponents are;
2; (3²·4³·2⁻¹)/(3·4)², ((3·2)⁴·3⁻³)/(2³·3)
1; (3⁻³·2⁻³·6³)/((4⁰)²)
1/2; (2⁴·3⁵/(2·3)⁵)
What are exponential operations?Exponential operations are operations involving two numbers, which includes the base number and the exponent.
The exponential expressions can be simplified using laws of indices or the properties of exponents as follows;
(2⁴·3⁵)/((2·3)⁵) = (2⁴·3⁵)/(2⁵·3⁵) = (2⁴/2⁵) × (3⁵/3⁵)
(2⁴/2⁵) × (3⁵/3⁵) = (2⁴/2⁵) × 1 = 1/2
Therefore; (2⁴·3⁵)/((2·3)⁵) = 1/2
(3²·4³·2⁻¹)/((3·4)²) = (3²/3²)·(4³/4²)·(2⁻¹)
(3²/3²)·(4³/4²)·(2⁻¹) = 1 × 4 × (1/2) = 2
Therefore; (3²·4³·2⁻¹)/((3·4)²) = 2
((3·2)⁴·3⁻³)/(2³·3) = ((3⁴·2⁴)·3⁻³)/(2³·3)
((3⁴·2⁴)·3⁻³)/(2³·3) = (3⁴/3)·(2⁴/2³)·3⁻³ = (3³·3⁻³)·2 = 2
Therefore; ((3·2)⁴·3⁻³)/(2³·3) = 2
(3⁻³·2⁻³·6³)/((4⁰)²) = (3⁻³·2⁻³·6³)/1
(3⁻³·2⁻³·6³)/1 = (6³/3³)/2³
6³/3³ = 2³
Therefore; (6³/3³)/2³ = 2³/2³ = 1
(3⁻³·2⁻³·6³)/((4⁰)²) = 1
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5.
a.
A study conducted at a school showed that the batteries used by calculators lasted an average of 101 days with a margin of error of ‡9 %.
What is the minimum average number of days a teacher can expect to have the batteries last in her classroom?
b.
There are roughly 279 days from the first day of school until the last day of school, the teacher has 24
TI-84 calculators and each one requires 4 triple A batteries. If the teacher can buy triple A batteries wholesale at 52 cents a battery, how much do you think she will need to spend at most on batteries for calculators over the year?
a. The teacher can expect the batteries to last at least 92.09 days on minimum average.
b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.
What is minimum average day?
a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:
Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)
Therefore, the teacher can expect the batteries to last at least 92.09 days on average.
What is spend ?
b. The total number of batteries required for the 24 TI-84 calculators is:
24 calculators x 4 batteries per calculator = 96 batteries
The total cost of the batteries will be:
96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)
Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.
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During the landing of mars science laboratory curiosity, it was reported that the signal from the rover would take 14 minutes to reach Earth. Radio signals travel at the speed of light, about 186,000 miles per hour. How far was Mars from Earth when Curiosity landed
Answer:
156,240,000 miles
Step-by-step explanation:
The speed of light is about 186,000 mi/s. The distance is then ...
(14 min)(60 s/min)(186,000 mi/s) = 156,240,000 mi
Mars was about 156 million miles from Earth.
A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.
a. π/6 - √3/4
b. √3/4 - π/12
c. √3/4 - π/24
d. √3/4 + π/24
e. √3/4 + π/12
The required area of the lune is (D) √3/4 - π/24.
What is the area?The measurement that expresses the size of a region on a flat or curved surface is termed area.
Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
So,
The lune's area is equal to the smaller semicircle's area minus the segment's area.
The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.
Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.
Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)
Area of the lune = π/8 - π/6 + √3/4
= √3/4 - π/24
Therefore, the required area of the lune is (D) √3/4 - π/24.
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A marketing company is interested in the proportion of people that will buy a particular product. Match the vocabulary word with its corresponding example.
Each of the statistical jargons will be matched to the corresponding meaning or similarity or example.
Matching word to the corresponding example?The corresponding example of the word can be matched as follows:
Population : All the people in the marketing company region.
In statistics, a population is a group of individuals from which are subject to study.
Sample: The 380 randomly selected people who are observed to see if they will buy the product.
A sample represents the group of interest from a population, this group represent the data.
Variable: The answer Yes or No to whether a person bought the product Variable in statistic are any number or quantity that can be measured.
Data: The list of the 380 Yes or No answers to whether the person bought the product.
Data are the figures that are collected, analysed, and summarized for interpretation.
Parameter: The proportion of all people in the company's region who buy the product
Statistics: The proportion of the 380 observed people who buy the product
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The value 30 appears time(s) in the data set. The value 39 appears time(s) in the data set. The value 45 appears time(s) in the data set.
Based on the information provided, it seems like there is a dataset that contains three values: 30, 39, and 45. The prompt states that each value appears a certain number of times in the dataset.
For example, the value 30 appears "time(s)" in the dataset, although we don't know exactly how many times it appears. Similarly, the value 39 appears a certain number of times, as does the value 45.
Without more information about the dataset, it is difficult to draw any conclusions about the significance or pattern of these values. It is possible that they are part of a larger dataset and represent only a small portion of the data.
Alternatively, they could be outliers or represent a significant trend in the data. Further analysis would be necessary to determine their meaning and significance.
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What is 1.036 that add up to 4
Answer:
2.964
Step-by-step explanation: