The square root of 378 is 19.4422
The square root of a number is a value that, when multiplied by itself, gives the original number. The symbol used to denote the square root is √, and it is placed in front of the number for which we are looking for the square root.
First, let's define what factorial means. The factorial of a non-negative integer is the product of all positive integers less than or equal to that number.
Next, we have to compute the square root of 378, which is a much simpler task. The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5 because 5 x 5 = 25. Using a calculator, we can find that the square root of 378 is approximately 19.4422.
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Complete Question:
What is the square root of 378?
What percentage of the marbles in the jar are white?
O 20%
O 40%
O 60%
O 80%
The percentage of white marbles on the jar is obtained dividing the number of white marbles by the total number of marbles.
How to calculate a percentage?A percentage is calculated applying a proportion, dividing the number of total outcomes by the number of desired outcomes, and then multiplying by 100%.
The outcomes for this problem are given as follows:
Desired: number of white marbles.Total: total number of marbles.Missing InformationThe problem is incomplete, hence the standard procedure to obtain the percentage of white marbles was presented.
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Jack bought 5 pounds5 pounds5, start text, space, p, o, u, n, d, s, end text of Halloween candy. He gave out 3 pounds3 pounds3, start text, space, p, o, u, n, d, s, end text of the candy to trick or treaters and ate 10 ounces10 ounces10, start text, space, o, u, n, c, e, s, end text of the candy.
Number of candies that will be left with Jack is 1.375 pounds if the total candies were 5 pounds.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions.
It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be called as finding the difference.
Given that,
Total candies that Jack bought = 5 pounds
Candies given to trick or treaters = 3 pounds
Candies left = 5 - 3 = 2 pounds
Amount of candies ate = 10 ounces
16 ounces = 1 pound
10 ounce = 10 / 16 pounds = 0.625 pounds
Amount of candies ate in pounds = 0.625 pounds
Candies left = 2 - 0.625 = 1.375 pounds
Hence the amount of candies left is 1.375 pounds.
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Your question is incomplete. The complete question is given below.
Jack bought 5 pounds of Halloween candy. He gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy. How many ounces of Halloween candy does jack have?
HELP pls will mark you the brainliest
The function among all options is y=30.5(0.7)ˣ.
What is the graph of a function?The graph of a function represents a set of all points in a plane. It helps to derive the nature of the function.
The function must satisfy the points that are given in the graph.
When x=0, y=21.35(0.7)ˣ=21.35(0.7)⁰=21.35.
But the given point is (0,30.5).
Hence, it cannot be the required function.
When x=0, y=30.5(21.35)ˣ=30.5(21.35)⁰=30.5.
When x=1, y=30.5(21.35)ˣ=30.5(21.35)¹=651.175.
But the given point is (1,21.35).
Hence, it cannot be the required function.
When x=0, y=30.5(1.3)ˣ=30.5(1.3)⁰=30.5.
When x=1, y=30.5(1.3)ˣ=30.5(1.3)¹=39.65
But the given point is (1,21.35).
Hence, it cannot be the required function.
When x=0, y=30.5(0.7)ˣ=30.5(0.7)⁰=30.5.
When x=1, y=30.5(0.7)ˣ=30.5(0.7)¹=21.35.
When x=2, y=30.5(0.7)ˣ=30.5(0.7)²=14.945≈14.95.
It satisfies all three given points.
Therefore, the required function is y=30.5(0.7)ˣ.
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The number of bacteria in a lab experiment can be modeled by the function y(t)=270(1.129)^4t. Write an equivalent function of the form y(t)=ab^t. Round your final values to 4 decimal places.
Find the value of x.
6x
60°
Answer:
Step-by-step explanation:
If you are implying that the equation is "6x = 60"
Divide both sides by 6 to get just x by itself, then you'd have your answer.
X = 10
HELLLPPPP PLEASEEEEEEEEEEEEE
Answer: look at the image for the answer and the solution
Step-by-step explanation:
Answer: the home of it is 78 degrees
Step-by-step explanation:
as the angular bisector is shown then we can say that its right
3. In the figure below, what is m/2 if m26 = 120°?
A.
60°
B. 90⁰
32
41
5 6
87
C. 120°
D. 150°
The value of m <2 is C. 120°
What is a Corresponding Angle?In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.
In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.
Therefore,
m<2 = m<6
This is because they are corresponding angles
With this in mind, m<6 = 120°
Therefore, m<2 = 120°
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Use factoring to find the x-intercept(s)
of the function below.
Enter the smaller value first.
0 = 2x² + 5x - 3
Answer: x = -3, 1/2
Step-by-step explanation:
5) There are 7,213 applicants Only one half of the applicants which is about will be accepted in the program for the astroment progogiem
In a case whereby there are 7213 applicants for the astronaut program only one half of the applicants which is about 3607 applicants will be accepted into the program.
How can the number of the applicants be determined?The concept that will be used here is multiplication. One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size.
The symbols for multiplication are cross (), asterisk (*), and dot (). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).
Total applicants =7213 applicants
Then one half of the applicants = 1/2 of 7213
=7213/2
= 3607 applicants
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complete question:
There are 7213 applicants for the astronaut program only one half of the applicants which is about ______will be accepted into the program
each of two persons tosses three gair coincs. what is the probability that they obtain the same numbre of heads
The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.
1/8
The probability of getting a head or a tail when flipping a coin is 1/2.
Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.
The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.
Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.
The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.
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Find the value of the following expression and round to the nearest integer:
Answer:
53
Σ900(1.04)"+1
n=1
Answer:
The expression is a summation, or the sum of a sequence of terms. Each term is equal to 900 * (1.04)^n+1, where n starts at 1 and goes up to infinity.
To calculate this sum, we would need to find the limit of the sequence as n approaches infinity. However, finding the exact value of this sum is not possible and would require the use of mathematical tools like mathematical analysis.
To estimate the value, we can use a calculator or spreadsheet to calculate the sum for a finite number of terms and then see how the sum changes as we increase the number of terms. For example, if we calculate the sum for n = 1 to 100, we would get an estimate of the value. If we then calculate the sum for n = 1 to 200, we would get a closer estimate.
In this case, we can round the expression to the nearest integer, which would be 53.
Step-by-step explanation:
Robin and 2 friends each were able to jump rope for 4/5 minute. How long did they jump rope for altogether?
Answer:
[tex]p(3and7)andq(1and9)[/tex]
5. Ella checks out a book from the library. She does not read any pages that day. Starting the next day, she reads the same number of pages each day. The graph shows the number of pages Ella has left to read to finish the book. Determine the number of pages in the book. Assume that the relationship between the two quantities is linear. Library Book Number of Pages Unread 60 54 48 42 36 30 24 18 12 6 0 1 2 3 4 5 6 7 8 9 10 x Number of Days a. b. C. d. 5 5 8 48 58
The number of pages in the book is given as follows:
58 pages.
How to obtain a linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.From the graph, two points are given as follows:
(2,48) and (8, 18).
When x increases by 6, y decays by 30, hence the slope m is given as follows:
m = -30/6
m = -5.
Hence:
y = -5x + b.
When x = 2, y = 48, hence the intercept b, representing the number of pages in the book, is given as follows:
48 = -10 + b
b = 58.
Missing InformationThe graph is given by the image presented at the end of the answer.
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Daniel is working two summer jobs, making $8 per hour babysitting and making $15 per hour lifeguarding. In a given week, he can work a maximum of 18 total hours and must earn no less than $200. If Daniel worked 3 hours babysitting, determine the minimum number of whole hours lifeguarding that he must work to meet his requirements
The minimum number of hours life guarding that Daniel must work to meet his requirements = 12 hours
To the nearest whole number approximately:
If the digit following the decimal is less than 5, only the number preceding the decimal should remain unchanged.
Add one to the number before the decimal and eliminate the decimal part if the digit following the decimal is five or greater.
Given the information,
Babysitting pays Daniel $8 per hour, and life guarding pays him $15 per hour.
Daniel can only work a total of 18 hours per week and must make at least $200.
Daniel has been babysitting for three hours.
Daniel thus makes 3 x 8 = 24 dollars.
He has earned $200 - 24 = 176 dollars from the original $200.
Let's say Daniel was a lifeguard for m hours.
He therefore made m x 15 = 176.
15 × m = 176
m = 11.73
m ≈ 12 hours
So, the minimum number of whole hours = 12
This means, Daniel must work 12 hours lifeguarding to meet his requirements.
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Classify the triangle by its sides.
A.acute
B.scalene
C.isosceles
D.equilatera
Answer:
D because all sides are equal
In a class of 30 students x +10 study algebra, 10+3 study statistics, 4 study both algebra and statistics. 2x study only Algebra and 3 study neither algebra nor statistics
1. Illustrate the information one a Venn diagram.
2. How many students study;
A. Algebra
B. Only statistics
1. The Venn diagrams are attached
2. When the statistics students number = 10·x + 3, we have;
The number of students that study
Algebra = 128/11Statistic = 213/11When the statistics students number = 2·x + 3, we have;
The number of students that study
Algebra = 16Statistic = 15What is the rationale for the above response?The parameters given are;
Total number of students = 30
Number of students that study algebra n(A) = x + 10
Number of students that study statistics n(B) = 10·x + 3
Number of student that study both algebra and statistics n(A∩B) = 4
Number of student that study only algebra n(A\B) = 2·x
Number of students that study neither algebra or statistics n(A∪B)' = 3
Therefore;
The number of students that study either algebra or statistics = n(A∪B)
From set theory we have;
n(A∪B) = n(A) + n(B) - n(A∩B)
n(A∪B) = 30 - 3 = 27
Therefore, we have;
n(A∪B) = x + 10 + 10·x + 3 - 4 = 27
11·x+13 = 27 + 4 = 31
11·x = 18
x = 18/11
The number of students that study
a. Algebra
n(A) = 18/11 + 10 = 128/11
b. Statistic
n(B) = 213/11
Hence, we have;
n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11
Similarly, we have;
n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11
However, assuming n(B) = (2·x + 3), we have;
n(A∪B) = n(A) + n(B) - n(A∩B)
n(A∪B) = 30 - 3 = 27
Therefore, we have;
n(A∪B) = x + 10 + 2·x + 3 - 4 = 27
2·x+3 + x + 10= 27 + 4 = 31
3·x = 18
x = 6
Therefore, the number of students that study
a. Algebra
n(A) = 16
b. Statistics
n(B) = 15
Hence, we have;
n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12
Similarly, we have;
n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11
See the attached Venn Diagrams.
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Jake will run at a constant rate of 8 minutes per mile. Ethan will longboard at rate of 5 minutes per mile for the first two miles then will slow down and longboard at a rate of 10 minutes per mile. Make two tables finding the times for each boys results for 1,2,3,4,5 and 6 miles
The time and distance of both the boys Jake and Ethan when they meet with each other is equal to 40 minutes after covering 5 miles.
Constant rate by which Jake run is equal to 8 minutes per mile.
Rate of Ethan longboard for first two miles = 5 minutes per mile
Rate of Ethan longboard for rest of the miles = 10 minutes per mile
Time taken by each of them is :
Miles Time taken by Jake (minutes) Time taken by Ethan(minutes)
1 8 min 5 min
2 16 min 10 min
3 24 min 20 min
4 32 min 30 min
5 40 min 40 min
6 48 min 50 min
Therefore , time and distance at which Jake and Ethan meet is equal to 40 minutes that is at 5 miles.
The above question is incomplete , the complete question is:
Jake will run at a constant rate of 8 minutes per mile. Ethan will longboard at rate of 5 minutes per mile for the first two miles then will slow down and longboard at a rate of 10 minutes per mile. Make two tables finding the times for each boys results for 1,2,3,4,5 and 6 miles.
Find out the time and distance at which both meet.
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put numbers in order smallest to largest: 0.5, 0.03, 0.42, 0.3, 0.243
Answer: 0.03, 0.243, 0.3, 0.42, 0.5
Step-by-step explanation:
Hope this helps you!
Answer:
Step-by-step explanation:
0.243, 0.03, 0.3, 0.42, 0.5
what’s wrong with the question
The graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.
What is inequality?
In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
The given graph is wrong for the given inequality y ≤ 3x - 2
The correct graph for the given inequality is shown below.
The given graph would be correct for the inequality
y ≥ 3x - 2.
Hence, the graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.
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There are 21 pieces of $2 notes and $10 notes in an envelope. If the total value of all the notes is less than
$110, find the minimum number of $2 notes in the envelope.
Answer:
Let the number of $2 notes be x, while that of $10 notes be y.
Set two equations
x + y = 21 y = 21 - x ------- 1
2x + 10y < 110 ------ 2
Sub 1 into 2
2x + 10(21-x) < 110
2x + 210 - 10x < 110
-8x < -100
x > 12.5
Minimum number of $2 notes in the envelope = 13
If A,B,A,B, and CC are n×nn×n invertible matrices, does the equation C−1(A+X)B−1=InC−1(A+X)B−1=Inhave a solution, XX? If so, find it.
If A, B, and C are n×n invertible matrices, then the solution for "x" in the equation "C⁻¹(A+X)B⁻¹ = Iₙ" is X = BC⁻¹ - A .
The Equation is ⇒ C⁻¹(A+X)B⁻¹ = Iₙ,
We first multiply both sides by B and C to remove the inverses ;
⇒ C⁻¹(A+X)B⁻¹×BC = I×BC ;
Simplifying, we get ;
⇒ C⁻¹(A+X)C = B ;
Next, we can multiply both sides by C⁻¹ to separate (A+X) ;
⇒ (A+X)C×C⁻¹= B×C⁻¹ ;
Simplifying, we get:
⇒ (A+X) = BC⁻¹ ;
Now , we subtract "A" from both sides, we get ;
⇒ X = BC⁻¹ - A ;
So , the solution for X is : X = BC⁻¹ - A . This solution exists because A, B, and C are all n×n invertible matrices, which means that their inverses exist and the product of invertible matrices is also invertible.
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The given question is incomplete , the complete question is
If A, B, and C are n×n invertible matrices, does the equation C⁻¹(A+X)B⁻¹ = Iₙ have a solution, X ? If so, find it.
Find an Angle Measure T ✓ The optimal tilt for Keenan's solar panelis between 58° and 60° to the horizontal. Has Keenan placed his solar panel at an optimal angle? SOLUTION COMMON ERROR 18 ft
Keenan has placed his solar panel at an optimal angle.
How determine if Keenan has placed his solar panel at an optimal angle?The cosine law is a mathematical relationship between the sides and angles of a triangle. The cosine law states that:
cos(C) = (a² + b² - c²) / 2ab
where a, b, and c are the lengths of the sides of the triangle and C is the measure of one of the angles. This law can be used to find unknown side lengths or angle measures in a triangle when given the other values.
Check the attached image for labelling.
The angle we are trying to calculate is labelled C.
cos (C) = (20² + 18² - 19²) / (2*20*18)
cos (C) = 363/720
C = cos⁻¹(363/720)
C = 59.72°
Since the angle obtained is between 58° and 60°. Thus, Keenan has placed his solar panel at an optimal angle.
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Sarah earned a 4% commission on all of her sales in December. Her total sales for December were $80,000. How much money did she cam in commission?
On solving the provided question, we can say that Amount of commission = Total sales value x Rate of commission = 3,200
what is amount ?aggregate attempting to calculate the time required, total number or quantity. The quantity at hand or under consideration is incredibly energetic. the overall result, importance, or import. Principal, interest, and a third accounting. amounts, amounting, and amounted are word forms. flexible noun The quantity of something is how much there is, how much you have, how much you require, or how much you obtain. He requires that sum of money to get by.
[tex]Amount of commission = 3,200\\Total sales value = 80,000//[/tex]
Rate of commission = 4% on sales
Amount of commission = Total sales value x Rate of commission
Amount of commission = 80,000 x 4%
Amount of commission = 3,200
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show that the following function are continuos and discontinuos
A.(f×)={×+1 ,for×less than or equai to 2
{ 2×–1 ,for 1<×<2
{×–1 ×<1
The function f(x) = [tex]\left \{ {{x+1} ,for x \leq 2 \atop {2x-1}, for 1 < x < 2} \atop {x-1} , for x < 1 \right.[/tex] is continuous to all the values.
In mathematics, a function is a rule that assigns each element from one set (called the domain) to exactly one element of another set (called the range). The continuity of a function describes how smoothly it behaves as its input values change. In this context, we will analyze the continuity of the given function.
The given function is a piecewise function, which means it has different rules for different intervals of its domain. Let's analyze each interval separately to determine if the function is continuous or discontinuous.
For x less than or equal to 2, the function is f(x) = x + 1. This is a linear function, and we know that all linear functions are continuous everywhere. Therefore, the function is continuous for x less than or equal to 2.
For 1 < x < 2, the function is f(x) = 2x - 1. This is also a linear function, and as we said before, all linear functions are continuous. Therefore, the function is continuous for 1 < x < 2.
For x less than 1, the function is f(x) = x - 1. This is also a linear function and is continuous for all values of x less than 1.
Therefore, we can conclude that the given function is continuous for all values of x.
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What is the y-intercept (b) of the line that passes through (1,1)(2,5) You must solve for slope (m) first.
b=
Answer:
slope (m) is 4, y-intercept (m) is -3
Step-by-step explanation:
y=4x-3
use y¹-y² over x¹-x² to find slope, then use one of the points to fill in for x and y to find y-intercept
Please help me:
Find the measure of a in parallelogram ABCD 
Answer:
angle a = 122°
Step-by-step explanation:
since the opposite angles in a parallelogram are equal, therefore,
Angle a = angle c
therefore,
14x -4 = 15x - 13
-4 +13 = 15x - 14x
x = 9
therefore angle a = 14 x 9 - 4 = 122°
Actividades de Apertura
a) Dos ángulos rectos.
b) Dos ángulos agudos.
c) Dos ángulos suplementarios.
d) Dos ángulos complementarios
e) Dos rectas paralelas.
f) Dos rectas perpendiculares
g) Una recta transversal.
Las actividades de apertura son descripciones de diferentes relaciones geométricas. Aquí está la explicación de cada una:
a) Dos ángulos rectos tienen una medida de 90 grados.
b) Dos ángulos agudos tienen una medida menor a 90 grados.
c) Dos ángulos suplementarios suman a 90 grados.
d) Dos ángulos complementarios suman a 90 grados.
e) Dos rectas paralelas no se cruzan.
f) Dos rectas perpendiculares se cruzan en un ángulo recto de 90 grados.
g) Una recta transversal corta a dos o más rectas, creando ángulos en los puntos de intersección.
Qué es Dos ángulos rectos?Dos ángulos rectos son dos ángulos que tienen una medida de 90 grados. En geometría, un ángulo recto es un ángulo que tiene una medida de 90 grados y se representa con una línea diagonal que forma cuatro cuartos iguales.
Los ángulos rectos son importantes en la construcción y el diseño, ya que permiten la creación de formas simples y precisas. Por ejemplo, dos ángulos rectos pueden ser utilizados para formar un cuadrado o un rectángulo, mientras que un ángulo recto y un ángulo agudo pueden ser utilizados para formar un triángulo rectángulo.
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Solve for x questions in picture
Answer:
x = 1
Step-by-step explanation:
2(4x + 5) - 3 = 5x(2+1)
Distribute.
8x + 10 - 3 = 10x + 5x
Subtract 8x from both sides.
10 - 3 = 10x + 5x -8x
Solve
7 = 15x - 8x
7 = 7x
1 = x
Please help me with this problem fast.
The transformation that maps △UVW onto △U'V'W' is (d) 270 degrees counterclockwise
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we can see that
Triangle △UVW has the same side length as the triangle △U'V'W'
This means that
(x, y) = (x, y)
The orientations are 270 degrees apart in the counterclockwise direction
So, we have
(x, y) = (y, -x)
Hence, the transformation is (d)
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Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 120 pounds of blended coffee beans selling for $4. 17 per pound. She plans to do this by blending together a high-quality bean costing $5. 25 per pound and a cheaper bean at $2. 00 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend
Sarah should blend 80.5 pounds of the high-quality beans and 39.5 pounds of the cheaper beans to make 120 pounds of blended coffee.
In this problem, we are given that Sarah Meeham needs to prepare 120 pounds of blended coffee beans to sell at a rate of $4.17 per pound. She plans to blend two types of coffee beans: a high-quality bean costing $5.25 per pound and a cheaper bean costing $2.00 per pound.
Let x be the number of pounds of the high-quality coffee beans needed and y be the number of pounds of the cheaper coffee beans needed. Since we need 120 pounds of the blended coffee, we have:
x + y = 120
The cost of the blended coffee is $4.17 per pound. This means that the total cost of the blended coffee is:
4.17(120) = 501.6
We can also find the cost of the high-quality and cheaper beans in terms of x and y:
5.25x is the cost of the high-quality beans
2.00y is the cost of the cheaper beans
The total cost of the two types of beans is the sum of their individual costs:
5.25x + 2.00y
Since we need 120 pounds of the blended coffee, we can set up the following equation using the above expressions for total cost:
5.25x + 2.00y = 501.6
Now, we can use the system of equations consisting of x + y = 120 and 5.25x + 2.00y = 501.6 to solve for x and y. One way to do this is by substitution:
x = 120 - y (from the first equation)
5.25(120 - y) + 2.00y = 501.6 (substituting x in the second equation)
Simplifying and solving for y, we get:
630 - 5.25y + 2.00y = 501.6
3.25y = 128.4
y ≈ 39.5
Now we can use this value of y to find x:
x = 120 - y
x = 120 - 39.5
x ≈ 80.5
Therefore, Sarah needs to blend approximately 80.5 pounds of the high-quality coffee beans and 39.5 pounds of the cheaper coffee beans to make 120 pounds of blended coffee that she can sell for $4.17 per pound.
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