Answer:
1) Small-Cherry-Green, 2) Small-Cherry-Purple, 3) Small-Cherry-Red, 4) Small-Vanilla-Green, 5) Small-Vanilla-Purple, 6) Small-Vanilla-Red, 7) Small-Strawberry-Green, 8) Small-Strawberry-Purple, 9) Small-Strawberry-Red, 10) Small-bubble gum-Green, 11) Small-Bubble gum-Purple, 12) Small-Bubble gum-Red , 13) Huge-Cherry-Green, 14) Huge-Cherry-Purple, 15) Huge-Cherry-Red, 16) Huge-Vanilla-Green, 17) Huge-Vanilla-Purple, 18) Huge-Vanilla-Red, 19) Huge-Strawberry-Green, 20) Huge-Strawberry-Purple, 21) Huge-Strawberry-Red, 22) Huge-Bubble gum-Green, 23) Huge-Bubble gum-Purple, 24) Huge-Bubble gum-Red
b) 24
2) Tree diagram method
b) Each unique snow cone has an element of each category
3) 2
i) By counting
ii) By finding out the possible combinations
Step-by-step explanation:
The details of the options at Tia's Snow Xpress includes;
2 (different) sizes; Small or huge size
4 (different) flavors; Cherry, vanilla, strawberry, bubble gum
3 glow-in-the-dark spoon choices; Green, purple, red
1) Let the 'a' represent the small size let 'b' represent the huge size, let 'c' represent cherry, let 'v' represent vanilla, let 's' represent strawberry, let 'b' represent bubble gum, let '1' represent green, let '2' represent purple and let '3' represent red, we have;
The possible outcomes are;
ac1, ac2, ac3, av1, av2, av3, as1, as2, as3, ab1, ab2, ab3
bc1, bc2, bc3, bv1, bv2, bv3, bs1, bs2, bs3, bb1, bb2, bb3
With the use of MS Word, we have;
1) Small-Cherry-Green, 2) Small-Cherry-Purple, 3) Small-Cherry-Red, 4) Small-Vanilla-Green, 5) Small-Vanilla-Purple, 6) Small-Vanilla-Red, 7) Small-Strawberry-Green, 8) Small-Strawberry-Purple, 9) Small-Strawberry-Red, 10) Small-bubble gum-Green, 11) Small-Bubble gum-Purple, 12) Small-Bubble gum-Red
13) Huge-Cherry-Green, 14) Huge-Cherry-Purple, 15) Huge-Cherry-Red, 16) Huge-Vanilla-Green, 17) Huge-Vanilla-Purple, 18) Huge-Vanilla-Red, 19) Huge-Strawberry-Green, 20) Huge-Strawberry-Purple, 21) Huge-Strawberry-Red, 22) Huge-Bubble gum-Green, 23) Huge-Bubble gum-Purple, 24) Huge-Bubble gum-Red
Therefore;
b) There are 24 different combinations in total
2) The method used to find the combinations is a tree diagram with branches extending from, the size of the Snow Cone Xpress to the choices for the glow-in-the-dark spoons
b) The method was used because of there are more than two categories each with different number of items and each unique Snow Cone Xpress option comprises of an element of each category
3) The number of Snow Cones that includes the cherry flavor and a green spoon = 2 different Snow cones
b) The answer can be arrived at by either;
i) Counting from the listed snow cone options
ii) Noting that a setting the only options for flavor as cherry and the only option for the glow-in-the-dark spoon as green and then combining both categories into one category option with the connection 'and' we have the possible combination as 3 items taking 2 at a time less the combination of the small and huge snow cones as follows;
Combinations = ₃C₂ - 1 = 2
the supplement of an angle is 30 degrees more than the measure of the angle, what is the measure of the angle smaller angle = degrees Greater arogle = degrees
Two supplementary angles equal 180 degrees.
Let the first angle = x
The second angle is 30 degrees more so this would be x + 30
Now add the two angles together to equal 180:
X + x+ 30 = 100
Combine like terms:
2x + 30 = 180
Subtract 30 from both sides:
2x = 150
Divide both sides by 2:
X = 75
One angle = x = 75
The other angle is x + 30 = 75 + 30 = 105
The smaller angle is 75 degrees.
What is the type of polynomial 11 − 4x2 − x3?
The equation 11 = −4x²−x³ is a cubic polynomial.
Polynomial:
A polynomial is an algebraic expression containing indefinites and constants. Polynomials can be thought of as dialects of mathematics. They are used to represent numbers in almost all areas of mathematics, and are used in specific areas of mathematics such as mathematics Critical analysis. For example, 2x + 9 and x2 + 3x + 11 are polynomials.
Cubic Polynomial:
The cubic polynomial is the polynomial with the largest exponent of the variables. H. Order of variables as 3. Based on the degree, polynomials are divided into four types: zero polynomials, linear polynomials, second order polynomials, and third order polynomials. The general form of a cubic polynomial is p(x): ax³ + bx² + cx + d, where a ≠ 0. where a, b, and c are coefficients and d is a constant, all of which are real numbers. An equation involving a cubic polynomial is called a cubic equation. Examples of cubic polynomials are p(x): x³ − 5x² + 15x − 6 and
r(z): πz³ + (√2)10.
Now,
A cubic polynomial is a polynomial of degree 3. A cubic polynomial has the form f(x)=a₃x³ +a₂x² +a₁ x+ a₀
Here, the polynomial 11 = −4x² −x³
or x³+4x² +11 = 0 is a polynomial of degree 3 with coefficients a₁ = 0,
a₂ =4, a₃ =1 and constant a₀= 11.
Hence, 11 = −4x² −x³ is a cubic polynomial.
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When treated with an antibiotic, 93% of all the dolphins are cured of a particular bacterial infection. If 6 dolphins with the particular bacterial infection are treated, find the probability that exactly 3 are cured.
Answer:
the probability is 0.00552
Step-by-step explanation:
If 93% are cured, the percentage not cured will be 100-93 = 7%
let p = probability of being cured = 93% = 93/100 = 0.93
q = probability of being uncured = 7/100 = 0.07
so we proceed to use the bernoulli approach;
we have this as;
P(X = n) = X C n p^n q^n-1
P(X = 3) = 6 C 3 * 0.93^3 * 0.07^3
P(X = 3) = 0.00552
14
The knob of a baseball bat is circular, as shown. The knob of this baseball bat has a
diameter of 3 inches.
Knob of -
baseball bat
Which measurement is closest to the area of the knob of the baseball bat in square inches?
F
28.26 in?
G
7.06 in
H
9.42 in?
J
21.02 in?
Answer:
its G
Step-by-step explanation:
What is the rule for translations?
Answer:
A translation is a type of transformation that moves each point in a figure the same distance in the same direction.
Step-by-step explanation:
Translations are often referred to as slides. You can describe a translation using words like "moved up 3 and over 5 to the left" or with notation.
Two alien pacehip tart traveling toward each other from pace tation that are 710,000 km apart. The firt pacehip tarted an hour before the econd pacehip and i traveling at 110,000 km/hr. In how many hour will the two pacehip meet if the econd pacehip i traveling at 90. 000 km/hr?
The two spaceships will meet in 8 hours if the second spaceship is traveling at 90. 000 km/hr.
To calculate the time it will take for the two spaceships to meet, you must use the equation Distance = Rate x Time. Since the first spaceship has a higher rate of speed, it will reach the second spaceship in less time than it would take the second spaceship to reach the first.
This means that the time it takes for the two spaceships to meet will be equal to the time it takes for the first spaceship to travel the distance between the two space stations. We can use the equation to solve for time: Time = Distance/Rate. In this case, the distance is 710,000 km and the rate is 110,000 km/hr, so the time is 6.45 hours.
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1. The numbers ______ and _____ are respectively the additive and multiplicative identities of rational numbers
Answer: 0 and 1, in that order
The numbers 0 and 1 are respectively the additive and multiplicative identities of rational numbers.
===========================================================
Explanation:
The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.
The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.
These ideas not only apply to rational numbers, but to real numbers as well.
Xavier ran 13 miles in 182 minutes. Assume Xavier maintains a constant speed.
Enter the number of minutes it takes Xavier to run 1 mile
Answer:
14 minutes
Step-by-step explanation:
We can represent Xavier's running in the following ratio using the given information:
distance : time
13 miles : 182 minutes
To get the answer to this problem, all we have to do is divide both sides of the ratio by 13, so that the left side is 1 mile.
[tex]13 \textrm{ miles} : 182\textrm{ minutes}\\\overline{\ \ \ \ 13 \ \ \ \: } \ \ \: \overline{\ \ \ \ \ \ \, 13 \ \ \ \ \ \ }[/tex]
1 mile : 14 minutes
It takes Xavier 14 minutes to run 1 mile.
4x-1÷2=x+7 answer asap
Step-by-step explanation:
4x-0.5=x+7
4x-x=7+0.5
3x=7+0.5
3x=7.5
x=2.5
hope this helps
Find the first 5 terms of the sequence
A(n)=n+A(n-1) a1 = 3
Answer:
A(1) = 3, A(2) = 5, A(3) = 8, A(4) = 12, A(5) = 17
Step-by-step explanation:
Given A(n) = n + A(n–1) a1 = 3.
A(1) = 3.
A(2) = (2) + A(2–1)
= (2) + A(1)
= (2) + (3) = 5
A(3) = (3) + A(3-1)
= (3) + A(2)
= (3) + (5) = 8
A(4) = (4) + A(4–1)
= (4) + A(3)
= (4) + (8) = 12
A(5) = (5) + A(5–1)
= (5) + A(4)
= (5) + (12) = 17
How do you solve composite functions examples?
The composite function is the result of first applying the function (x^2 - 1) to the input and then applying the function (5x + 2) to the result. The final result of the composite function is 5x^3 + 2x - 3.
Step 1: Apply (x^2 - 1) to the input:
(x^2 - 1) = x^2 - 1
Step 2: Apply (5x + 2) to the result:
(5x + 2)(x^2 - 1)
= 5x^3 - 5x + 2x - 2
Step 3: Simplify:
5x^3 - 5x + 2x - 2
= 5x^3 + 2x - 3
A composite function is the result of applying two or more functions in succession. The order of operations for a composite function is to first apply the first function, then apply the second function to the result of the first, and so on. In the example given, the composite function
f(x) = (5x + 2) ∘ (x^2 - 1)
is the result of first applying the function
(x^2 - 1)
to the input and then applying the function (5x + 2) to the result. The calculation can be broken down into three steps: Step 1 is to apply (x^2 - 1) to the input to get x^2 - 1, Step 2 is to apply (5x + 2) to the result to get 5x^3 - 5x + 2x - 2,
and Step 3 is to simplify the result to get the final answer of
5x^3 + 2x - 3.
To summarize, the composite function
f(x) = (5x + 2) ∘ (x^2 - 1)
is the result of first applying the function (x^2 - 1) to the input, and then applying the function (5x + 2) to the
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please help will give brainliest please no links I rlly need this
A) Find the probability that a point chosen randomly inside the rectangle will be in the triangle. Show all calculations. Round answer to the nearest hundred
B) Find the probability that a point chosen randomly inside the rectangle will be in the shaded region. Show all calculations. Round answer to the nearest hundredth. Answer:
Step-by-step explanation:
1st,
the area of the rectangular =7×5=35
area of triangle =3×4/2=6
area of square =2×2=4
area of shadowed region =35-(6+10)=25
According to the question,
A) Find the probability that a point chosen randomly inside the rectangle will be in the triangle. Show all calculations. Round answer to the nearest hundred
answer:-
probability of a point in rectangle inside triangle =6/35=0.17
B) Find the probability that a point chosen randomly inside the rectangle will be in the shaded region. Show all calculations. Round answer to the nearest hundredth.
answer:
probability of that a point chosen randomly inside the rectangle will be in the shaded region=25/35=5/7=0.71
Kira is going to the airport. It is 9:50 AM right now. Kira's flight will depart in 3 hours 39 minutes. What is the departure time of her flight?
4. Two of the angles in a triangle have measure of 79° and 81°. Which of the angle measures below
could belong to a triangle that is similar to this triangle?
A) 81 and 80°
B) 81 and 20°
C)79° and 90°
D)79° and 21°
Answer:
B) 81 and 20°
Step-by-step explanation:
In any triangle, the sum of the measures of the three angles is 180°. Therefore, if two angles in a triangle have measures of 79° and 81°, the third angle must have a measure of 180 - 79 - 81 = 20°. Therefore, the answer is B) 81 and 20°.
Answer:
B
Step-by-step explanation:
Please help
The graph shows the reciprocal parent function
Which statement best describes the function
The statement that best represents the function must be identified by reading the graph.
Let's check which of the following statements best characterizes the function:A) When x < 0, the function is negative.
This is accurate; as you can see, the function is negative for x < 0 because it is below the horizontal axis.
We shall see that choice A is the proper one. "When x < 0, the function is negative."
The function tends to infinity on the positive side at an x close to zero.
The function tends to negative infinity at x close to zero on the negative side.
The function tends to zero as x's absolute value grows.
So we can conclude that this is an inverse function similar to:
y = f(x) = 1/x
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give an example when the mean and median might have the same value
10,20,30,40,50
Here, 30 is both mean and median.
Answer:
1,2,3.
Step-by-step explanation:
It's simple. But here's the math.
1+2+3÷3=2
And the median of the number is 2.
Please, help meee. Please
Answer:
Hope it helps you!...............
On a map, 3 inches represents 50 miles. Which proportion can be used to find the actual distance represented by 5 inches on the map?
Answer:
IT is B
Step-by-step explanation:
edge duh
What is always true about the interquartile range of a data set? Select all that apply.
A.
The interquartile range is greater than the range.
B.
The interquartile range contains the median of the data set.
C.
The interquartile range is less than the range.
D.
The interquartile range contains about 50% of the data set.
The interquartile range is.....
Answer:
Our goal is to understand how range and interquartile range describe data. To do this, we have to define the range and interquartile range of a given set of data, we have to be able to calculate the range and interquartile a range of a given set of data, and then we want to be able to determine how range and interquartile range are impacted by outliers.
So how can you describe data with range and interquartile range? Range tells us if data is grouped closely together or spread far apart. Interquartile range tells us if data is grouped closely around the median. The key concepts. Range is the difference of the maximum and minimum values.
So if we wanted to calculate the range of this particular data set here, we would say 20 minus 1 and get a range of 19. Interquartile range is the difference of the upper and lower quartiles. In order to do this, we first have to find the median to find those upper and lower quartiles. The median of this data set, the value in the middle, is 6. The lower quartile is the median of the lower half, the middle value then of these three data points being 3.
The upper quartile would be the middle of this data set, and that would be 8. So if we wanted to find the interquartile range, we'd subtract those values. 8 minus 3 gives us an interquartile range of 5. Interquartile range describes the spread of data around the median.
A small interquartile range means that most of the data, the middle half, is clustered tightly around the median, whereas a large interquartile range would mean that that data that's in the middle is more spread out. And finally, outliers impact the range, but have little impact on the interquartile range. If we consider our data set here, we see that we have an outlier of 20, but it really only impacts the range.
It does not play a significant role on the interquartile range.
Step-by-step explanation: also brainleist
Hence your answer will be D
The mathematics department of a community college has 8 full time professors and 32 adjunct professors. Each full time professor teaches 6 courses, and each adjunct professor teaches 2 courses. Each course requires an average of 1,350 sheets of paper for duplicating. If the department purchases paper in reams of 5000 sheets, how many reams of paper will the mathematics department purchase?
Step-by-step explanation:
bit.^{}
ly/3gVQKw3 here in this link
Answer: the answer is 31 I just submitted it
Step-by-step explanation:
Please help I beg of you
WILL MARK BRAINLIST
Answer:
A ≈ 25.1 cm²
Step-by-step explanation:
The area (A) of the shaded region is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]
= π × 6² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex] ← cancel π and 2π by π
= 36 × [tex]\frac{\frac{4\pi }{9} }{2}[/tex]
= 18 × [tex]\frac{4\pi }{9}[/tex]
= 2 × 4π
= 8π ≈ 25.1 cm² ( to 1 dec. place )
PLEASE HELP ME!!!!!!!!!
Answer:
1
Step-by-step explanation:
[h(-4) - h(-1)] ÷ ((-4-(-1))
[(16-24+5) - (1-6+5)] ÷ -3
(-3-0) / -3
-3/-3 = 1
In the formula P = 2L + 2W, what does the P represent? What does the L represent? and what does the W represent?
1/2% in decimal
please give me my answer Also
I AM NOT ASKING for 1/2 in decimal
I am asking for 1/2 percent in decimal
Answer:
Step-by-step explanation:
We know that : Percentage means 'divided by 100'
therefore, 1/2 percent = 1 / 2 ÷ 100 = 0.5 ÷100 = 5÷1000= 0.005
12. Sarah uses long division to convert
a rational number 2 to a decimal.
P
Which of the following statements
cannot be true?
A. The decimal form of P
q
terminates with a zero in the
tenths place.
B. The decimal form of P
eventually repeats.
C. The decimal form of never
terminates or repeats.
D. The decimal form ofis 0.
On solving thr provided question, by help of arithmetic progression, we got to know that a10 = 207
what is arithmetic progression?There are two approaches to define arithmetic progressions (AP): The difference between any two successive terms in an arithmetic sequence must always be equal, and it is sometimes referred to as a series in which all terms except the first are created by adding a predetermined number to the preceding term.
9,15,25..............
15-9 = 6
25-15 = 10
a4 - 25 = 14 => a4 = 39
frequently referred to as a series in which all terms save the first are formed by adding a predefined number to the preceding term since the difference between any two succeeding terms in the sequence must always be equal.
a5-39 = 18 => a5 = 57
a6-57 = 22 => a6 79
...
...
...
...
...
a10 - 169 = 38 => a10 = 207
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Find whether x^n+y^h is disable by x-y(y not equal o)or not
Which of these is a solution to the equation 1/8=2/5•x 2/40, 5/16, 17/40, 11/40
Answer:
Simple, [tex]1/8=2/5x[/tex] so [tex]1/8/2/5=x[/tex] would become [tex]x=1/20[/tex], which is equal to 2/40 :)
Step-by-step explanation:
does the order of the quantities in an inequality matter
The order of the quantities in an inequality matters. Therefore, it is true.
How to illustrate the inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.
When resolving an inequality, you can do one of the following: Add the same amount to each side; Subtract the same amount from each side; Multiply or divide each side by the same positive amount. You must flip the inequality symbol if you multiply or divide each side by a negative number.
Therefore, the order matters.
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Please answer this math question
Answer:
[tex] \frac{-5}{28} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{-1}{5} * (\frac{3}{4} + \frac{1}{7}) [/tex]
Required:
Solve
Solution:
[tex] \frac{-1}{5} * (\frac{3}{4} + \frac{1}{7}) [/tex]
Apply distributive property by multiplying each reaction in the box by -⅕
[tex] (\frac{-1}{5} * \frac{3}{4}) + (\frac{-1}{5} * \frac{1}{7}) [/tex]
[tex] \frac{-3}{20} + \frac{-1}{35} [/tex]
Add together. Common denominator is 140. Therefore:
[tex] \frac{-21 + (-4)}{140} [/tex]
[tex] \frac{-25}{140} [/tex]
Simplify further
[tex] \frac{-5}{28} [/tex]
Neil work a a conultant at a oftware company. The amount of hi annual bonu i baed upon the number of hour he work. B = the amount of Neil' bonu
h = the number of hour Neil work
Which of the variable i independent and which i dependent?
The independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).
In this scenario, the amount of Neil's bonus (B) is dependent on the number of hours he works (h). The number of hours he works is the input or independent variable, while the amount of bonus he receives is the output or dependent variable. It can be said that the number of hours he works is the cause and the amount of bonus is the effect.
The equation is B = f(h) where f is the function that relates the two variables.
Thus, the independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).
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Complete Question is-
Neil works as a consultant at a software company and the amount of his annual bonus is based on the number of hours he works, which variable is independent and which is dependent? With B as the amount of Neil's bonus, and h as the number of hours Neil works.