The possible outfits that Casey can make is 30 and this is shown in the image that is attached.
What is the outfits about?The tree diagram is known to be one that shows the hierarchical organization of tasks and subtasks that must be done to achieve a goal. The branching diagram start with a single element that divides into two or more, each of which further divides into two or more, and so forth.
Based on the question, Casey has:
5 shirts
3 skirts
2 blazers
Therefore, to make a tree diagram of any possible outfits that Casey can make., there are a total of:
5 x 3 x 2
= 30
So, the possible outfits that Casey can make is 30.
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10 points!!
Please help! Show explanation.
Answer: D
Step-by-step explanation:
Point of tangency is where the line on the left touches the circle. Have you ever heard the term "She's going off on a tangent"- it means they only touch the topic(tangent point and go off (tangent line) and talk way off away from where you need to be(circle)
So you can see from the graph the point of tangency (where line touches circle is (-5,0)
the equation for the line is going to be a constant. The line only touches the x-axis never the y-axis at all points it is x=-5
so the equation of the line x= -5
Convert 81km/hr into m/sec
To convert kilometers per hour (km/hr) to meters per second (m/sec), we need to multiply the speed by 0.27778.
So, to convert 81 km/hr to m/sec, we multiply it by 0.27778 as follows:
81 km/hr x 0.27778 = 22.5 m/sec (rounded to one decimal place)
Therefore, 81 km/hr is equal to 22.5 m/sec (approximately).
~~~Harsha~~~
Answer: 22.5 Meters per Second
Step-by-step explanation: 1 km/h = 0.2777777778 m/s 1 m/s = 3.6 km/h
Example: convert 20 km/h to m/s:
20 km/h = 20 × 0.2777777778 m/s = 5.5555555556 m/s
Find mBC.
B
3
с
AK 47°
Check the picture below.
A radioactive element has a half-life of 18 years. We start with 40mg. Assuming the decay is occurring continuously, the appropriate model is...
Identity P0.
Solve for k.
What amount of the element remains after 10 years?
When with 10mg be remaining?
1) The decay constant is 0.0385
2) The amount after ten years is 27.2 mg
3) The time taken for 10 mg to remain is 36 years.
What is the half life of a radioactive isotope?We know that;
P = Poe^-kt
Given that the half life is 18 years;
20=40e^-18k
20/40=e^-18k
0.5 =e^-18k
ln0.5 = -18k
k = -0.693/-18k
k = 0.0385
After 10 years we have;
P = 40e^-10(0.0385)
P = 27.2 mg
10 mg will remain when;
10 = 40e^-0.0385t
10/40 =e^-0.0385t
0.25 = e^-0.0385t
ln0.25 = -0.0385t
t = -1.386/-0.0385
t = 36 years
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How many anagrams of CADERNO have vowels before consonants?
There are 264 anagrams of the word CADERNO that have vowels before consonants.
We have,
To count the number of anagrams of the word CADERNO that have vowels before consonants, we can use the following steps:
Count the number of vowels in the word.
In this case, there are three vowels: A, E, and O.
Count the number of consonants in the word.
In this case, there are four consonants: C, D, R, and N.
Determine the possible arrangements of vowels and consonants that satisfy the condition of having vowels before consonants.
Since there are three vowels and four consonants, there are two possible arrangements that satisfy this condition:
a) Vowel - Consonant - Vowel - Consonant - Vowel - Consonant - Consonant
b) Vowel - Consonant - Vowel - Consonant - Consonant - Vowel - Consonant
Calculate the number of ways to arrange the vowels and consonants in each of the possible arrangements determined in step 3.
We can use permutations to calculate this.
For arrangement a):
There are 3 ways to choose the first vowel (A, E, or O)
There are 4 ways to choose the first consonant (C, D, R, or N)
There are 2 ways to choose the second vowel (whichever is left out of the two remaining vowels)
There are 3 ways to choose the second consonant (whichever is left out of the three remaining consonants)
There is 1 way to choose the third vowel (the remaining vowel)
There is 1 way to choose the fourth consonant (the remaining consonant)
There is 1 way to choose the fifth consonant (the remaining consonant)
The total number of arrangements for this case is: 3 x 4 x 2 x 3 x 1 x 1 x 1 = 72
For arrangement b):
There are 3 ways to choose the first vowel
There are 4 ways to choose the first consonant
There are 2 ways to choose the second vowel
There are 2 ways to choose the second consonant (whichever is left out of the two remaining consonants)
There are 2 ways to choose the third consonant (whichever is left out of the two remaining consonants)
There is 1 way to choose the third vowel
There is 1 way to choose the fourth consonant
The total number of arrangements for this case is: 3 x 4 x 2 x 2 x 2 x 1 x 1 = 192
Add up the total number of arrangements for both cases to get the final answer:
72 + 192 = 264
Therefore,
There are 264 anagrams of the word CADERNO that have vowels before consonants.
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The volume of the triangular pyramid below is 240 units. Find the value of a.
Answer: =
12
Submit Answer
15
مومی مرده
The value of x in the triangular pyramid is 8 units.
How to find the height of a pyramid?The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.
volume of the pyramid = 1 / 3 ×base area × height
Therefore,
base area = 1 / 2 bh
base area = 1 / 2 × 12 × x
base area = 6x
Therefore,
volume of the pyramid = 1 / 3 × 6x × 15
240 = 30x
divide both sides by 30
x = 240 / 30
x = 8 units
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Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 9 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if Its sales level that quarter is in the bottom 20% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. ? million dollars
Any quarter with sales level less than or equal to 7.908 million dollars would be considered a "failure" by this company.
What sales level (in millions of dollars) is the cutoff?To determine this sales level, we need to find the 20th percentile of the normal distribution with mean 9 million dollars and standard deviation 1.3 million dollars.
By using a standard normal distribution table we can find that the z-score corresponding to the 20th percentile is approximately -0.84.
The sales level that is the cutoff between quarters that are considered "failures" will be:
-0.84 = (x - 9)/1.3
- 0.84 * 1.3 = x - 9
- 1.092 = x - 9
x = 9 - 1.092
x = 7.908
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Find x and y int. for y=4^x
A. X-int: (0, 7/2) Y-int. (7/3, 0)
b. X-int: (7/3, 0) Y-int. (0, 7/2)
c. X-int and Y-int. : (-7/2, 7/3)
The x and y int for the equation are x = undefined and y-int = 1
Finding the x and y int for the equationFrom the question, we have the following parameters that can be used in our computation:
y = 4^x
Set the variable x to 0 to calculate the y-intercept
So, we have
y-int = 4^0
y-int = 1
Set the variable y to 0 to calculate the x-intercept
So, we have
4^x = 0
So, we have
x = ln(0)/ln(4)
Evaluate
x = undefined
Hence, the x-intercept is undefined
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Two quadratic functions are represented below. Which function has the greater maximum value
A function which has the greater maximum value is: function f(x).
How to calculate the vertex and axis of symmetry of a quadratic function?In Mathematically, the axis of symmetry of a quadratic function can be calculated by using this mathematical expression:
Axis of symmetry (vertex), Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = -x² - 3x + 1, we have:
Axis of symmetry, Xmax = -(-3)/2(-1)
Axis of symmetry, Xmax = 3/-2 = -1.5.
For the value of k in vertex, we have:
f(x) = -x² - 3x + 1
f(-1.5) = -(1.5)² - 3(-1.5) + 1
f(-1.5) = 3.25
For g(x), the maximum value or vertex is 2 and as such, quadratic function f(x) has the greater maximum value.
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Find the degree of the polynomial function.
f(x) = -2x + 2x3
The degree of the polynomial function f(x) = -2x + 2x3 is 3
Finding the degree of the polynomial function.From the question, we have the following parameters that can be used in our computation:
f(x) = -2x + 2x3
The degree of a polynomial function is the higtest power in the polynomial
In f(x) = -2x + 2x3, the highest power is 3
Hence, the degree is 3
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2y−3x=6 Into slope-intercept form, simplifying all fractions.
Answer:
y = 3/2x + 3
Step-by-step explanation:
The slope-intercept form is y = mx + b
2y − 3x = 6
2y = 3x + 6
y = 3/2x + 3
So, the answer is y = 3/2x + 3
whats 27x3 please i need help
Answer:
Step-by-step explanation:
27 times 3
= 81
Answer: 81
Step-by-step explanation: 27x3 ok what 3^to the 4th power so it would be 3x3x3x3
9x9=81 is the same as saying 27x3
What is the surface area of the cylinder with height 3 cm and radius 2 cm? Round your answer to the nearest thousandth.
Work Shown:
r = 2 = radius
h = 3 = height
SA = surface area of the cylinder
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*pi*2^2 + 2*pi*2*3
SA = 8pi + 12pi
SA = 20pi ....... exact surface area
SA = 20*3.1415926535898
SA = 62.831853071796
SA = 62.832 ....... approximate surface area
the table shows the change in value of rudos stocks one day. the next day, the value of the all-plus stock dropped 1/4 of the amount it changed from the previous day. what was the total change in all-plus stock? round to the nearest cent
The total change in All - Plus stock, given the change in one day and the dip the next day, would be - $ 3.125.
How to find the total change ?In the one day shown on the table, the price of All - Plus stock dropped by $ 2.50 dollars. The very next day, the price of the stock still dropped but this time by 1 / 4 of the fall in the first day so the fall was ;
= 1 / 4 x 2. 50
= $ 0. 625
This means that the total change in price can be found to be :
= Change in price first day + change next day
= 0. 625 + 2. 5
= $ 3. 125
This means prices of All - Plus stock changed by - $ 3.125.
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Please help! Question is in the image
The point of tangency and the equation of the tangent line are (x, y) = (- 5, 0) and x = - 5, respectively. (Correct choice: D)
How to determine the point of tangency and the equation of a line
A figure representing a circle and a tangent line, from which we need to determine the point of tangency and the equation of the tangent line. The point of tangency is a point where the tangent line and the circle meet each other.
Thus, by direct inspection, we have the following results:
Point of tangency
(x, y) = (- 5, 0)
Tangent line
x = - 5
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1) Which line is perpendicular
to y = 4x+5?
Answer:
[tex]B. y=-1/4x+6.[/tex]
Step-by-step explanation:
The line perpendicular to the line y = 4x + 5 would need a slope of -1/4.
The slope of any perpendicular line multiplied by the original line must equal -1. Therefore, only answer B works.
Answer:
B
Step-by-step explanation:
The given line is a slope -intercept form
y = mx + b m is the slope
for this line slope = 4
PERPENDICULAR slope is - 1/m = = - 1/4 <====you just have to LEARN this!
Answer B has slope = - 1/4
Use the graph of y=f(x) to graph the function g(x)=f(x+3)
By using the graph of y = f(x), the graph of the function g(x) = f(x + 3) include the following: D. graph D.
What is a translation?In Mathematics and Geometry, the translation of a graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image.
In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.In order to write an equation that models the graph of g(x), we would have to apply a horizontal translation to f(x) by 3 units left:
y = f(x)
g(x) = f(x + 3)
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Which of the following is the measure of the angle?
Which of the following is the measure of the angle?
Protractor is used to measure an obtuse angle. The angle has one ray pointing toward zero and one ray pointing halfway between 120 degrees and 130 degrees.
A.
125°
B.
130°
C.
120°
D.
135°
The measure of the angle is A. 125^o
What is an obtuse angle?A measure of an angle which lies between 90^o and 180^0 is said to be obtuse. This implies that the measure of the angle is greater than a right angle but less than the sum of angles on a straight line.
In the given expression, the halfway between 120 and 130 degrees is given as;
(120 + 130)/ 2 = 125
Thus given that the angle has one ray pointing towards zero, then the other ray is pointing towards 125 degrees.
Then it can be concluded that the measure of the angle is A. 125^o.
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Solve:
A baseball card is purchased for $40 and increases in value by
5% each year over the next two years. How much is the card
worth at the end of the two-year period?
Answer:
$44
Step-by-step explanation:
since its original price is $40, you would just add 5% but since it says 5% EACH year for 2 years , it would be 10%
you would just add 40 plus %10 if im not mistaken which is $44 so the price just went up $2 each year.
sorry if im wrong.
Using trigonometry, solve for x
Answer:
x ≈ 11.3
Step-by-step explanation:
using the cosine ratio in the right triangle
cos61° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{DE}{DF}[/tex] = [tex]\frac{5.5}{x}[/tex] ( multiply both sides by x )
x × cos61° = 5.5 ( divide both sides by cos61° )
x = [tex]\frac{5.5}{cos61}[/tex] ≈ 11.3 ( to the nearest tenth )
What is the Area of triangle.? What is the area of rectangle? What is total area?
The area of the triangle is; 33 in².
The area of the rectangle is; 190 in².
The total area as required is; 223 in².
What is the total area of the composite figure?By observation; the triangle is such that its base is 6 in and it's height is; (20 - 9) = 11 in.
Therefore, the area of the triangle given by; (1/2)×b×h is; (1/2) × 6 × 11 = 33 in².
The area of the rectangle of length 20 in and width 9.5 in is; 20 × 9.5 = 190 in².
Ultimately, the total area of the composite shape is; 33 + 190 = 220 in².
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una carga de 10 toneladas se distribuyo en partes iguales entre 6 camiones cuantas lleva cada camion
If a load of 10 tons was distributed equally among 6 trucks, each truck would carry 1.6667 tons.
What is the unit rate?In Mathematics, the unit rate is sometimes referred to as unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.
How to determine the unit rate?In order to determine the unit rate, we would use the following mathematical equation (formula);
Unit rate = Number of ounces/Number of trucks
Unit rate = 10/6
Unit rate = 1.6667 tons.
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Complete Question:
A load of 10 tons was distributed equally among 6 trucks, how many does each truck carry?
Match the angle measures with the value of x in each triangle
Answer:
answers in picture
(Btw we can’t see one of the triangles so you can just assume that the last one would be 46 degrees)
Step-by-step explanation:
Hope this helps! Pls give brainliest!
can someone help me with number 5 and 6
The circumference of the circle is 50.272in and the area is 3.142 x 8² = 200.96in².
How to solve for Circumference and Area of a CircleThe formula for circumference of a circle is given as:
C = 2[tex]\pi[/tex]r
where r is the radius
and [tex]\pi[/tex] is 3.142
Area of a circle is given as:
A = [tex]\pi r^{2}[/tex]
From the diagram,
diameter (d) given is 16in i.e:
d = 16in
but
r = d/2 = 16/2 = 8in
Now solve the C and A using the formula above:
C = 2 x 3.142 x 8 = 50.272in (approx.)
A = 3.142 x 8² = 200.96in² (approx.)
Briefly, a circle is a two-dimensional geometric shape consisting of all points in a plane that are a fixed distance, called the radius, from a given point called the center.
The distance around the circle, also known as its perimeter, is called the circumference.
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Please answer, will give 5 star.
Answer:
The first one
Step-by-step explanation:
She cant buy anything over $15, but she can buy something thats $15 :))
HELP!!!! MIDDLE SCHOOL MATH
Based on the scatter plot below, which is a better prediction for x when y = 7?
A) 11
B) 52
PLEASE HELP
A better prediction in the scatter plot when for x when y = 7 would be
A) 11How to find a better predictionA scatter plot, аlso known as a scatter diagram or scatter grаph, is a grаphical representаtion оf dаtа thаt displays thе relаtionship between twо variables.
It is used to investigate thе сorrelation or relаtionship between twо quantitativе variables, tyрically rеprеsеntеd on thе x-axis and y-aхis оf a Сartesian cооrdinate system.
In the coordinate Cartesian system shown, for y = 7 the value closest is 11. x = 52 is far away and will correspond to higher vales of y.
The relationship is a positive association
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A foundry has been commissioned to make souvenir coins. The coins are to be made from an alloy that is 40% silver. The foundry has on hand two alloys, one with 50% silver content and one with a 25% silver content. How many kilograms of each alloy should be used to make 40 kilograms of the 40% silver alloy?
50% alloy kg
25% alloy kg
Answer: The answer is 24 kilograms of the 50% silver alloy and 16 kilograms of the 25% silver alloy should be used to make 40 kilograms of the 40% silver alloy.
Step-by-step explanation:
The approximate populations of Kentucky and North Dakota (as of 2019) are listed
below:
Kentucky: 4.47 × 106
North Dakota: 7.62 x 105
How many times greater was the population of Kentucky than the population of
North Dakota? Write your answer in standard notation, rounding to the nearest
tenth.
The population of Kentucky is nearly 5.9 times that of North Dakota.
How to determine How many times greater was the population of Kentucky than the population of North DakotaTo determine how many times larger Kentucky's population is than North Dakota's population, divide Kentucky's population by North Dakota's population:
4.47 x 10^6 / 7.62 x 10^5
We can simplify the fraction by dividing both the numerator and denominator by 7.62 x 10: 4.47 x 106 / 7.62 x 105 = 5.87
5.9, rounded to the closest tenth.
As a result, the population of Kentucky is nearly 5.9 times that of North Dakota.
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Find the solution using the substitution method of solving a system of equations. x + 2y = 5 y = –2
Answer:
x=9 y=-2
Step-by-step explanation:
Substitute -2 for y in x+2y=5
x+2y=5
x+(2)(-2)=5
x-4=5(add 4 to both sides)
x=9
y=-2 as stated before
x=9 y=-2
What is the value of the discriminant of the quadratic equation -1 = 5x² -2x, and what does its value mean about the
number of real number solutions the equation has?
O The discriminant is equal to -16, which means the equation has no real number solutions.
The discriminant is equal to -16, which means the equation has two real number solutions.
The discriminant is equal to 24, which means the equation has no real number solutions.
The discriminant is equal to 24, which means the equation has two real number solutions.
The problem has no real number solutions since the discriminant is equal to -16.
Determining the discriminant of a quadratic equationGiven the quadratic equation below:
-1 = 5x² -2x,
On rearranging the equation will becomes;
5x² -2x+1 = 0
The formula for calculating the discriminant is expressed as:
D = b^2 - 4ac where:
a = 5
b = -2
c = 1
Substitute to have:
D = (-2)^2 - 4(5)(1)
D = 4 - 20
D = -16
The discriminant is equal to -16, which means the equation has no real number solutions.
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