The point of intersection of two lines implies a system has one solution, therefore, Darnell should conclude that: B. there is exactly one solution to the system of equations.
What is the Solution of a System by Graphing?If the two lines in a system of equations intersect when graphed, then there is exactly one solution to the system of equations. This is because the point of intersection represents the values of the variables that satisfy both equations simultaneously.
If the two lines in a system of equations are parallel and do not intersect when graphed, then there are no solutions to the system of equations. If the two lines are the same and coincide when graphed, then there are infinitely many solutions to the system of equations.
Therefore, Darnell should conclude that: B. there is exactly one solution to the system of equations.
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HI PLEASE HELP NEED ANSWERS ASAP :(!!
Why is it important to use the Order of Operations? (WHAT YOU THINK)
Answer:it guarantees that people can all read and solve a problem in the same way.
Step-by-step explanation:
please answer parts a and b correctly and let it make sense. if it's correct ill give it all stars and brainxvlest and also I will cavxsh app u
just put ur tag below. thank u
Answer:
11 inches
Step-by-step explanation:
If its cubic inches, we just need to cube root it
Plug it into the calculator and you get a number that rounds up to 11
Reasoning is because it is cubic, so to find the distance which is a normal number, you need to cube root it
1. If you roll a single die and get 4 fives in a row, what is the probability that you'll get a five on the
next roll?
2. What is the probability that you'll get 5 fives in a row when rolling a single die?
3. A roulette wheel has 38 numbers. If the "lucky" number 7 comes up twice in a row, what is the
probability it will come up on the very next roll?
4. What is the probability of getting three 7's in a row on a roulette wheel?
5. If I type randint(1,10) on my calculator, I get a random integer between 1 and 10 (inclusive). If I
do this 6 times, what is the probability that all 6 outcomes will be a 1?
6. If I roll a pair of dice, what is the probability of getting a pair of sixes?
7. If I roll a pair of dice, what is the probability of getting any pair?
1. 1/6 is the probability of rolling a five on the next roll.
2. The probability of getting 5 fives in a row when rolling a single die is 1/7776 .
3. 1/38 is he probability of 7 coming up on the very next spin is
4. 1/54782 is the probability of getting three 7's in a row on a roulette wheel.
5. (1/10)⁶ is the probability of getting a 1 on all six trials.
6. 1/36 is the probability of getting a pair of sixes when rolling a pair of dice is
7. The probability of getting any pair is 1/6
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
1. The probability of rolling a five on a single roll of a fair die is 1/6, since there are six equally likely outcomes: rolling a 1, 2, 3, 4, 5, or 6.
the probability of rolling a five on the next roll is still 1/6, regardless of whether the previous rolls resulted in four fives in a row or not.
2. The probability of getting a five on a single roll of a fair die is 1/6, as there are six equally likely outcomes.
the probability of getting 5 fives in a row when rolling a single die is:
(1/6) × (1/6) × (1/6) × (1/6) × (1/6) = 1/7776
3. The probability of any particular number coming up on a single spin of an American roulette wheel with 38 numbers is 1/38, since there are 38 equally likely outcomes.
As these are independent , the probability of 7 coming up on the very next spin is still 1/38.
4. The probability of getting three 7's in a row on a roulette wheel is:
(1/38) × (1/38) × (1/38) = 1/54,872
5. The probability of generating a 1 on a single trial is 1/10.
The probability of getting a 1 on a single trial by itself six times
(1/10) × (1/10) × (1/10) × (1/10) × (1/10) × (1/10) = (1/10)⁶
The probability of getting a 1 on all six trials is (1/10)⁶
6.
The probability of getting a pair of sixes when rolling a pair of dice is:
1/36
7.
The probability of getting any pair when rolling a pair of dice is:
Number of ways to get a pair / Total number of possible outcomes
= 6 / 36
= 1 / 6
So the probability of getting any pair is 1/6
Hence,
1. The probability of rolling a five on the next roll is 1/6.
2. 1/7776 is the probability of getting 5 fives in a row when rolling a single die.
3. The probability of 7 coming up on the very next spin is 1/38.
4. The probability of getting three 7's in a row on a roulette wheel is 1/54782
5. The probability of getting a 1 on all six trials is (1/10)⁶
6. The probability of getting a pair of sixes when rolling a pair of dice is:
1/36
7. the probability of getting any pair is 1/6
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City officials conclude they should budget "s" million dollars for a new library
building if the population increases by "p" thousand people in a ten-year census. The formula:
s = 2 + 1/3(p + 1)^2/5
expresses the relationship between population and
library budget for the city. How much can the population increase without the city
going over budget if they have $5 million for a new library building?
In linear equation, 242 can the population increase without the city going over budget if they have $5 million for a new library building .
Which equation is linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Substitute the value of s into formula for P -
P = ( 3(5-2)) 5/2 - 1
= (3(3))5/2 - 1
P = 95/2 - 1
P = 243 - 1
= 242
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17) On paper, graph the ordered pairs and label the points. Connect the points in order from A through D with
line segments. (a) What type of quadrilateral is formed? (b) What is the area of the quadrilateral?
A(-2,-1), B(7,-1), C(3,5), D(-2,5)
According to the information, the area of this quadrilateral, trapezoid is 42 cm.
How to calculate the area of this figure?To calculate the area of the figure we must first graph it. Once we have found its shape we must identify what type of quadrilateral it is, in this case we can affirm that it is a right trapezoid.
On the other hand, to calculate its area we must divide the figure in two, one part would be the quadrilateral and the other the triangle. So we need to find the area of both shapes and then add them.
6*5 = 306*4=2424 / 2 = 1212 + 30 = 42So the total area would be 42cm²
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Question 2 of 10
Frank is a champion fish charmer who can charm fish with .62 probability of
success. If he attempts to charm 100 fish, what's the probability he'll charm
between 60 and 80 inclusive? Solve using two methods: normal
approximation without the continuity correction, and normal approximation
with the continuity correction.
A. 332, 337
B. 323, .291
OC. 337,.332
OD. .660,.697
OE. 337,.323
The Solution using two methods are 323, .291, the correct option is B`.
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment.
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.
Given;
Frank is a champion fish charmer who can charm fish with .62 probability of success
He attempts to charm 100 fish, what's the probability he'll charm
between 60 and 80 inclusive
Now, probability out of 100
=62
This is between 60 and 80
So, 323
Therefore, the probability will be 323 and .291
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Which measure of centre is meaningful when the data are qualitative?
A. The range
B. The mean
C. The mode
D. The median
The correct answer is C. The Mode.
What is data in math?Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.
This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.
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8-12
find the missing measures if they are all parallelograms
Answer: Parallelogram angles add up to 360, so use angle properties and known measures.
Step-by-step explanation:
What is the y-intercept of the line shown? (4 points)
A coordinate plane is shown. A line passes through the point -4 comma 1 and through the y-axis at 4.
3 over 4.
2
3
4
Answer:
y- intercept = 4
Step-by-step explanation:
the y- intercept is the value of y on the y- axis where the line crosses.
the line crosses the y- axis at 4
then y- intercept = 4
A rectangular exercise mat has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the length, in feet, of the mat. Then find the area, in square feet, of the mat.
Answer:
length = 12 feet , area = 72 ft²
Step-by-step explanation:
the perimeter (P) is the sum of the 4 sides of the rectangle.
let w be width then length is 2w
opposite sides of a rectangle are congruent , so
P = 2(2w) + 2w = 4w + 2w = 6w
given P = 36 , then
6w = 36 ( divide both sides by 6 )
w = 6
then
length = 2w = 2 × 6 = 12 feet
the area (A) of a rectangle is calculated as
A = length × width = 12 × 6 = 72 ft²
a roller-coaster ride with 6 passengers takes 3 minutes. neglecting friction, a similar ride with 12 passengers aboard would take group of answer choices 1.5 minutes. 18 minutes. 3 minutes. 6 minutes.
Neglecting friction, a similar ride with 12 passengers aboard would take 6 minutes.
The time it takes for a roller coaster ride is directly proportional to the mass of the passengers. If we assume that each passenger has the same mass, then the time it takes for the ride is proportional to the number of passengers.
Let T1 be the time for the ride with 6 passengers, and T2 be the time for the ride with 12 passengers. Then, we have:
T2 = (12/6) * T1
Simplifying this expression, we get:
T2 = 2 * T1
We are given that T1 = 3 minutes, so we can substitute this value into the equation above to find T2:
T2 = 2 * 3 minutes = 6 minutes
Therefore, a similar roller coaster ride with 12 passengers aboard would take 6 minutes, as opposed to the 3 minutes it takes with 6 passengers aboard. The answer is 6 minutes.
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recent report suggests the proportion of general us population who believe in extraterrestrial life is 0.47. choose the appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life in greater than the general population?
The null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population
The appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life is greater than the general population can be expressed as follows:
Null hypothesis: The proportion of college students who believe in extraterrestrial life is equal to or less than the general population, or
H0: p <= 0.47
Alternative hypothesis: The proportion of college students who believe in extraterrestrial life is greater than the general population, or
Ha: p > 0.47
where p is the true proportion of college students who believe in extraterrestrial life.
In other words, the null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population (i.e., there is no difference between the two populations), while the alternative hypothesis assumes that the proportion of college students who believe in extraterrestrial life is higher than the general population.
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Diego’s history teacher writes a test for the class with 30 problems. The test is worth 50 points and has two types of problems: multiple choice worth 1 point each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning
By using a system of equations of two variables the number of short answer problems is 10.
Total number of problems in the Test = 30
Maximum points of test = 50
Point of multiple choice = 1
Point of short answer problems = 3
Let the number of multiple choice questions is x and the number of short answer problems is y
So, x + y = 30 - (1)
and 1.x + 3.y = 50 ⇒ x + 3y = 50 -(2)
Equation (2) - Equation (1)
x + 3y - (x + y) = 50 - 30
2y = 20
y = 10
Put y = 10 in equation (1)
x = 30 - 10 = 20
Hence, the number of multiple-choice questions = 20 and the number of short answer problems = 10.
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The distance a wheel can travel is proportional to its radius. What is a constant of proportionality for this relationship?
The constant of proportionality for this relationship is the circumference of the wheel.
What is the proportional relationship?A proportional relationship between two variables means that the ratio of the two variables is constant. In other words, if the independent variable (time in this case) increases, the dependent variable (the amount of money Steven charges) will increase proportionally.
The distance a wheel can travel is proportional to its radius.
wheel radius(in.) distance in 4 revolutions (in.)
4 32π
3.5 28π
0.25 2π
The distance a wheel can travel in one revolution is equal to the circumference of the wheel. So, if we know the radius of the wheel, we can calculate its circumference using the formula:
circumference = 2π × radius
Then, we can use the circumference to find the distance the wheel can travel in a given number of revolutions by multiplying the circumference by the number of revolutions. In the table provided, we can see that for each wheel radius, the distance traveled in 4 revolutions is a multiple of the circumference of the wheel, which confirms that the constant of proportionality is the circumference.
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A rectangle has a length of ( + ) and a width of ( − ). Determine the expression that represents the area of this rectangle.
Answer:
Step-by-step explanation:
The expression that represents the area of a rectangle with length (l) and width (w) is given by:
A = l * w
Therefore, the expression that represents the area of a rectangle with a length of ( + ) and a width of ( − ) can be represented as:
A = ( + ) * ( − ) = + × − = + (−) = −.
The area of a rectangular window is 4234 cm².
If the length of the window is 73 cm, what is its width?
Answer:
58
Step-by-step explanation:
4234 = 73x divide by 73 on both sides and x=58
17. A class has 20 students. In how many different ways can five students form a group? (Assume
that the order of the students is not important)
Answer: The number of ways to form a group of 5 students from a class of 20 students is calculated using the combination formula:
C(20,5) = 20! / (5! * (20-5)!) = 15504
So, there are 15,504 different ways in which 5 students can form a group.
Step-by-step explanation:
Pls help thank you will mark the Brainliest
the first choice is the right answer
please check my working for guidance
Element X decays radioactively with a half life of 8 minutes. If there are 450 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 37 grams?
If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams
Half life of radio active element = 8 minutes
Initial quantity of radio active element = 450 gram
Final quantity of radio active element = 37 grams
y = a(0.5)^(t/h)
Substitute the values in the equation
37 = 450 (0.5)^(t/8)
Move 37 to left hand side of the equation
37 / 450 = 0.5^(t/8)
Convert the terms to logarithm
t/8 = [tex]log_{0.5}\frac{37}{450}[/tex]
t/8 = 3.60
t = 8 × 3.60
Multiply the numbers
t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams
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Use the picture
1. If the measure of the arc is 45 degrees, what is the length of the Arc and the area of the sector?
2. If the measure of the arc is 150 degrees, what is the length of the Arc and the area of the sector?
3. If the measure of the arc is what is the length of the Arc and the area of the sector?
4. If the measure of the arc is
3 I, what is the length of the Arc and the area of the sector?
The arc length and the sector area are l = 0.25πr and A = (πr²) / 8.
What is sector?The sector is essentially a section of a circle, and it may be described using the following three criteria:
The area of a disc that is surrounded by two radii and an arc is known as a circular sector.
The circle is divided into the Main Sector and the Minor Sector by a sector.
The region with a lesser extent is referred to as the Minor Sector, whereas the territory with a larger area is referred to as the Major Sector.
The arc length is given as:
l = α/360 (2πr)
The angle is 45 degrees thus,
l = (45/360)(2πr)
l = 0.25πr
The sector area is given as:
A = α/360 (πr²)
A = 45/360 (πr²)
A = (πr²) / 8
Hence, the arc length and the sector area are l = 0.25πr and A = (πr²) / 8.
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1. Dante mixes 30 milliliters of one liquid with 2 centiliters of a second
liquid. How many centiliters of liquid does he have altogether?
A. 5 cL
B. 32 cL
C. 50 CL
D. 302 CL
The total volume in centiliters is 5 cL, then the correct option is A.
How many centiliters of liquid does he have altogether?Here we know that Dante mixes 30 mililiters of one liquid with 2 centiliters of a second liquid, and we want to find the total volume in centiiters.
We know that:
1 milliliter = 0.1 centiliters.
Then:
30 mililiters = 30*( 0.1 centiliters) = 3 centilters.
Then the sum of the two volumes is:
3 centiliters + 2 centiliters = 5 centiliters.
Then the correct option is A.
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The answer is A. 5 cL.
What is liquid?Liquid is one of the three states of matter, alongside solid and gas. It is a form of matter that has a definite volume, but not a definite shape. Liquids take the shape of their container and are able to flow and be poured.
First, we need to convert 30 milliliters to centiliters, which is 3 centiliters (since 1 centiliter = 10 milliliters).
Then, we can add the 3 centiliters to the 2 centiliters of the second liquid to get a total of 5 centiliters.
Therefore, the answer is A. 5 cL.
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HELP PLS! ITS DUE IN 30 MIN!!!!!!!
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:
y = -10x + 300
Part A:
Create a table for the values when x = 0, 5, 8, 10, 30.
Include worked-out equations used to identify the values within the table.
Part B:
Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:
y = -10x + 300
Part A:
Create a table for the values when x = 0, 5, 8, 10, 30.
Include worked-out equations used to identify the values within the table.
Part B:
Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
The table to explain the equation will be:
x (minutes) y (altitude, in feet) Worked-out equation
0 300 -10x + 300 = 300
5 250 -10x + 300 = 250
8 220 -10x + 300 = 220
10 200 -10x + 300 = 200
30 0 -10x + 300 = -0
What is an equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario
I used the equation y = -10x + 300 to find the altitude of the airplane for each x value.
The altitude after 5 minutes is 250 feet and 0 after 30 minutes.
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On a cold day the temperature at Thabana was 6 degres it dropped by 7 degres during the night how many degres will the night temperature be?
Answer:
Step-by-step explanation: The temperature at Thabana dropped by 7 degrees, so we can calculate the night temperature by subtracting 7 from the original temperature of 6 degrees:
Step 1: Subtract 7 from 6:
6 - 7 = -1
Step 2: The night temperature will be -1 degrees.
Mackenzie's company reimburses her $0. 75 per mile that she drives for business. If she goes on a business trip and drives a total of 982 miles, how much will her reimbursement be?
Mackenzie's reimbursement for a business trip would be $736.50 per mile when she drives of a total of 982 miles with $0. 75 per mile.
Mackenzie's reimbursement for driving 982 miles for business can be calculated by multiplying the number of miles driven by the reimbursement rate per mile.
Mackenzie's company reimburses her $0. 75 per mile which is rate per mile.
Reimbursement = miles driven x rate per mile
Filling the value in above equation.
So,
Reimbursement = 982 miles x $0.75/mile
Reimbursement = $736.50
Therefore, Mackenzie's reimbursement for driving 982 miles with the rate of $0. 75 per mile for business would be $736.50.
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Do the points in the following set lie on the same line? (1,3) (4,2) (-2,4) Explain. Does the point (2, 3) lie on the graph of y = 3x - 4? explain
The slope between the points is same, hence the points lie on the same line. The point (2, 3) does not lie on the graph of y = 3x - 4.
What is slope?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
The given points are, (1,3) (4,2) (-2,4):
Calculate the slope of the line formed by the points.
The slope of the line is given by:
m = (y2 - y1)/(x2 - x1)
For (1,3) (4,2):
m = (2 - 3) / (4 - 1) = -1/3
For (4,2) (-2,4):
m = (4 - 2) / (-2 - 4) = 2/ -6 = -1/3
The slope between the points is same, hence the points lie on the same line.
The equation of the graph is:
y = 3x - 4
The given point is (2, 3):
Substituting the point in the equation:
3 = 3(2) - 4
3 = 6 - 4
3 = 2
False.
Hence, the point (2, 3) does not lie on the graph of y = 3x - 4.
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In the rectangle ABCD given in the figure, AB = 3x + 2 cm and AD=x+3 cm. It is given that APQD is a square. Show that PB=2x-1 cm and It is given that AB/AD=PQ/PB Show that 5x²-5x-11-0.
Answer:
no answer
soory
Step-by-step explanation:
A student received a coupon for 43% off the total purchase price at a clothing store. Let b be the original price of the
purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like
terms.
b-0.43b
b-0.43b =
The equivalent expression by combining like terms is 0.57b
How to write an equivalent expression?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s).
In order to write an equivalent expression by combining like terms, subtract 0.43b from b (Note: b = 1b). That is:
b-0.43b = 0.57b
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Use division to find which of the following fractions are equivalent to
6
24
? Select all that apply.
Answer: C and D are the correct ones
Step-by-step explanation:
Helppppppo meeeeeee plssssssssssssss
1)
it took
25 min : 35 mile
?? min : 70 mile
cross multiply we get 50 minutes
25 x 70 then divide by 35
2) we used:
4 cups : 90 batches
? cups. : 112.5 batches
cross multiply we get: 5 cups
112.5 x 4 then divide by 90
