When selecting four coins from a jar containing quarters, loonies, and toonies, there are a total of 27 unique combinations.
This can be calculated by using the formula for combination, which is nCr.
In this case,
n is the total number of coins in the jar (3) and
r is the number of coins selected (4).
Therefore, 3/(4(3-4)) = 3/0 = 3/1 = 3,
which is the number of possible combinations in the jar for the quarters, loonies, and toonies. When you multiply 3 by 3, you get 9, and when you multiply 9 by 3 again, you get 27.
Therefore, there are 27 unique coin combinations when selecting four coins from the jar.
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How do you find the nature of the roots of a given quadratic equation?
To find the nature of the roots of a given quadratic equation, use the quadratic formula, which is [tex]x= \frac{(-b±\sqrt{b^2-4ac} )}{2a}[/tex].
Finding the Nature of Roots of a Quadratic EquationSubstitute the values of a, b, and c from the given equation into the formula and solve for x. The nature of the roots can then be determined by examining the sign of the discriminant, b² - 4ac.
If the discriminant is positive, the quadratic equation will have two real roots; if the discriminant is zero, the quadratic equation will have one real root; and if the discriminant is negative, the quadratic equation will have two complex roots.
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What is the solution?
Answer:
no solution
Step-by-step explanation:
The lines do not cross at any point; therefore, there is no solution.
the graph of h(x)=-x^2+4x+4
Answer:
Step-by-step explanation:
the coefficients of this quadratic are -1, 4 and 4, and so the discriminant b^2 - 4ac works out to 16 - 4(-1)(4), or 0. Thus this graph has two real, equal roots which are the same point on the graph, the vertex, the maximum of the function.
Letting x = 0, we find that y is 4. Thus, the y-intercept is (0, 4). Plot this.
Using the formula x = -b / [2a], we find the axis of symmetry:
x = -4 / [2*(-1)] = -4 / [-2] = +2
The axis of symmetry is the vertical line x = 2.
At x = 2, y = -(2)^2 + 4(2) + 4, OR -4 + 8 + 4, or 0.
The vertex and maximum value are (2, 0). The graph touches the x-axis in only one place.
Draw the axis of symmetry x = 2. Plot the vertex (2, 0) and the y-intercept. Reflect the y-intercept about the axis of symmetry to obtain a second point on the graph at the same y-value as (0, 4).
Find the area of the shaded sector.
85.64 m2
64.25 m²
7.75 m²
92.99 m²
Answer:
look at the picture I sent
can someone help with this please
9514 1404 393
Answer:
-2
Step-by-step explanation:
When you're looking for f(3), you want the y-value that corresponds to the x-value of 3. Find it by locating 3 on the x-axis. Then follow the vertical grid line to the point where the function value is shown. From there, identify the y-coordinate of that point. That y-coordinate is f(3).
f(3) = -2
__
The open dots at the ends of the curves at x=3 mean the function is not defined at those points: (3, 1) or (3, -9). The solid dot at (3, -2) tells you the function value at x=3 is -2.
John is 14 years older than Sam and the product of their ages is 207. How old is Sam? A. 11 B. 9 C. 23 D. 8
Answer:
The answer is A!
Step-by-step explanation:
Answer:
207 divided by 14 = 14 remainder 11 so.. none of the answers are right
14x11=154
14x9=126
14x23=322
14x8=112
Step-by-step explanation:
What’s the equation y= what ? pls help me!
Answer:
Y=mx+b
Step-by-step explanation:
That's the slope equation, though y could mean anything from a point on a graph to the question.
what is 6x²+7x-20? im having trouble trying to figure it out.
Can someone help me please
Answer:
one solution
Step-by-step explanation:
Answer:
This mean the line intersect at one point the y-intercpt. recall that interscecting line have one solution and therefore the system is consistent. Beacuse the line are not the same, but equations are independent.
Step-by-step explanation:
i hope his help =)
Someone please help me with this
ILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of BMC?help me please!!
March Madness Movies served 2323 lemonades out of a total of 111111 fountain drinks last weekend. Based on this data, what is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade?
23/111 is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade.
What do you mean by Probability?Probability theory deals with numerical evaluations of the likelihood that an event will occur.
Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.
A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.
March Madness Movies served 23 lemonades out of a total of 111 fountain drink last weekend.
The probability that the a fountain drink ordered is a lemonade will be :-
P= [tex]\frac{Number of lemonade}{Total fountain drink}[/tex]
= 23/111
Based on this data, the reasonable estimate of the probability that the next fountain drink ordered is a lemonade = 23/111.
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Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12
miles. If x represents the distance traveled by Bryan to the gym, which statements are true when determining the distance traveled by
each?
Answer:
x+6=y and 3x=12
Step-by-step explanation:
Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:
x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:
3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)
So our statements/equations are:
x+6=y and
3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)
Can someone help ASAP
Answer:
i dont see the pic
Step-by-step explanation:
QUICK PLEASE IM COuNTING ON YOU!!!!!!! If you were to connect three light bulbs in parallel and then connect three light bulbs in series, from which circuit will the light bulbs be brighter?
Answer:
SeeStep by Step explanation
Step-by-step explanation:
Currently, light bulbs need nominal voltage in their operation ( that is if your system is 120 V phase-neutral ) they will have a nominal voltage 120 (v). For that reason, all of them need this voltage for their proper operation, which follows that in any circuit the bulbs must be installed in parallel.
If you install them in series, the first will get most of the 120 (v) let´s say 90 (V), and maybe work, but the next one won´t work because the voltage will drop and between the terminals of the second bulbs you surely measure 20 (V) or less, the third one will be working with 10 (V) according to kirchhoff´s second law
Help me how do you do this plz no links
Answer:
12
Step-by-step explanation:
According to the Pythagorean Theorem,
5^2 + X^2 = 13^2, OR
25 + X^2 = 169
X^2 = 169, SO X = √144, or 12
The unknown side has length 12.
Find the perimeter of the figure to the nearest hundredth
Answer:
perimeter of parallelogram 2 (a+b)
2 (7+5)
24
perimeter of semicircle=1\2 pi D
1/2 22/7 × 5
get your answer
add the 24 and the answer you get
if decimal move three decimal to right and that is the answe
The following is a stem-and-leaf display representing the amount of gasoline purchased, in gallons (with leaves in tenths of gallons), for a sample of 25 cars that use a particular service station on the New Jersey Turnpike: 9 147 10 02238 11 125566777 12 223489 13 02 (a) Construct an ordered array. (b) Which of these two displays seems to provide more information? Discuss
The ordered array will be 9.1 9.4 9.7 10.0 10.2 10.2 10.3 10.8 11.1 11.2 11.5 11.5 11.6 11.6 11.7 11.7 12.2 12.2 12.3 12.4 12.8 12.9 13.0 13.2
What is leaf plot?
A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
In this instance, the number on the left of the division stands in for the number in the tens place. The value or values on the right side are the ones that fall between the tens and ones places. The number "9.1" is the equivalent of the word "911," for instance. When a number appears more than once on the right side of a division, that number appears more than once in the tens place. In this case, the three numbers 9.1, 9.4, and 9.7 are represented by the string "9 | 147".
Hence, There is an ordered array when reading the stem and leaf plot from top to bottom:
9.1 9.4 9.7 10.0 10.2 10.2 10.3 10.8 11.1 11.2 11.5 11.5 11.6 11.6 11.7 11.7 12.2 12.2 12.3 12.4 12.8 12.9 13.0 13.2
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Base your answer(s) to the following question(s) on the diagram of a food web and on your knowledge of biology. If the population of mice is reduced by disease, which change will most likely occur in the food web? A. The cricket population will increase. B. The snake population will increase. C. The grasses will decrease. D. The deer population will decrease.
Jason has some money. His grandmother gives him another $18.00. Write an expression to show how much money Jason has now. Use x for your variable.
Answer:
x + 18
Step-by-step explanation:
The variable is going to be the amount of money Jason has before his grandmother gives him money.
That variable is x.
Then, his grandmother gives him $18. The $18 would be added to the amount of money that Jason already has.
The expressions would be x + 18.
An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.
Speed of the given object in centimeters per hour
= 0.23 cm / hour
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Like 1 yard = 91.44 cm
1 month = 730 hrs.
Given,
Distance covered by the object = 11 yards
Distance covered in cm = 11 × 91.44 = 1005.84 cm
Time taken to cover 11 yards = 6 months
Time taken in hours = 6 × 730 = 4380 hrs.
Speed of the object = distance covered by the object / Time taken
Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour
Hence, in centimeters per hour,
the speed of the object is 0.23 cm / hour.
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victoria took a test and got 80% of the questions right. she answered 20 questions correctly. how mnay queestions were on the test
Answer:
25
Step-by-step explanation:
let there be x questions on the test
80% of x = 20
80% * x = 20
80% = 0.8
0.8 * x = 20
divide both sides by 0.8 to isolate x
x = 20/0.8 = 25
Help me on this question.
The value of y from the equation is y = 5
The measure of RS = 38
The measure of ST = 18
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , on the number line , the measures of the sides are
The measure of RS = 7y + 3 be equation (1)
The measure of ST = 2y + 8 be equation (2)
The measure of RT = 56
Now , from the line segment ,
RT = RS + ST be equation (3)
Substituting the values in the equation , we get
7y + 3 + 2y + 8 = 56
On simplifying the equation , we get
9y + 11 = 56
Subtracting 11 on both sides of the equation , we get
9y = 45
Divide by 9 on both sides of the equation , we get
y = 5
Substitute the value of y in equations (1) and equation (2) , we get
The measure of RS = 7 ( 5 ) + 3 = 38
The measure of ST = 2 ( 5 ) + 8 = 18
Hence , the equations are solved and the value of y = 5
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Graph the line that passes through the points (9, 4) and (9, 1) and
determine the equation of the line.
Answer:
x = 9
Step-by-step explanation:
The equation is y = mx + b
m = The slope
b = y-intercept
The slope here is undefined, and there is no y-intercept, so the equation is
x = 9
Find the surface area and round to the nearest hundredths place when necessary.
Answer:
6 x 14 = 84
84 x 2(since there are two small rectangles) = 168
22 x 6 = 132
132 x 2 = 264
264 x 2(since there are two of the same shape) = 528
22 x 14 = 308
308 x 2(since there are two of the same shape) = 616
Now we add up all the areas:
168 + 528 + 616 = 1312 square cm is your answer.
The scale factor of the blueprint of a gymnasium to the actual gymnasium is 1 in15 ft . The area of the floor on the blueprint is 114 in2 . What is the area of the actual gymnasium
The area of the actual gymnasium is 25,650 square feet.
We know that the scale factor of the blueprint to the actual gymnasium is 1 in 15 ft, which means that every 1 inch on the blueprint represents 15 feet in the actual gymnasium. To find the area of the actual gymnasium, we can use the formula:
Area of actual = (Area of blueprint) x (Scale factor)²
We know that the area of the floor on the blueprint is 114 square inches, so we can plug that into the formula:
Area of actual = 114 in² x (15 ft/1 in)² = 114 in² x 225 ft² = 25,650 ft²
Therefore, the area of the actual gymnasium is 25,650 square feet.
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Jocelyn owns a small business selling used books. She knows that in the last week 51
customers paid cash, 63 customers used a debit card, and 25 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash or a debit card as a percent to the nearest whole number?
Answer:
82%
Step-by-step explanation:
Jeremy made nine out of twelve basketball shots in P.E. class. What decimal and percent represents the number of shots he made?
What is the difference between log 10 and log e?
The difference between log with base 10 and log with base e is that the log with base 10 is called a common logarithmic function and the log with base e is called a Natural Logarithmic Function .
What is Logarithmic Function ?
The logarithm is defined as a power to which a number must be raised in order to get some other values. Log is the most convenient way to express the large numbers.
The Logarithm with base 10 is defined as a power to which the number must be raised to get some other number. It can also be called as the logarithm of base 10, or common logarithm.
The general form of Common logarithm is written as: [tex]log_{10} (x)[/tex] ;
The Logarithm with base e is called as Natural Log , where e is an irrational number .
The general form to represent a Natural Log is : [tex]log_{e} (x)[/tex] or [tex]ln(x)[/tex] .
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please answer this! I need help :) please no bots, i'm looking for a real answer!
Mean, median and mode stuff.
Answer:
Step-by-step explanation:
range is biggest value minus smallest value: 36
median is the line in the middle of the box: 30
minimum value is the smallest number of the set: 6
maximum value is the biggest number of the set: 42
first quartile is the first line of the box plot: 27
third quartile is the third line of the box plot: 38