The total gross earnings are given as follows:
$360.
How to obtain the total gross earnings?The total gross earnings are obtained applying the proportions in the context of this problem, first obtaining the total number of hours and then multiplying by the rate.
The hours are given as follows:
3.5 hours on Nov 2.2 hours on Nov 3.3.5 hours on Nov 5.4 hours on Nov 8.After November 14, the hours are given as follows:
5 hours from 12:00 to 5:00.5.5 hours from 10:30 to 4.4.5 hours from 1 to 5:30.4 hours from 12:30 to 4:30.Hence the total number of hours is obtained as follows:
3.5 + 2 + 3.5 + 4 + 5 + 5.5 + 4.5 + 4 = 32 hours.
The rate is of $11.25 per hour, hence the total earnings are given as follows:
11.25 x 32 = $360.
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please help me on this math question
Answer:
The formula for compound interest is: A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment (the amount Alex has at the end of 7 years)
P = the initial investment (£4000)
r = the annual interest rate (x/100)
n = the number of times interest is compounded per year (let's assume it is compounded annually)
t = the number of years invested (7)
Plugging in the given values and solving for x:
5263.73 = 4000(1 + x/100)^7
So x = ((5263.73/4000)^(1/7))-1*100
x = 6.33% (approximately)
So, the interest rate is 6.33%.
2x^4 = 50 how do you solve this using factoring?
[tex] {2x}^{4} = 50 \\ = > {x}^{4} = \frac{50}{2} \\ = > {x}^{4} = 25 \\ = > {x}^{4} - 25 = 0 \\ = > ( {x}^{2} + 5)( {x}^{2} - 5) = 0 \\ = > {x}^{2} - 5 = 0 \\ > (x - 5)(x + 5) = 0 \\ = > x = 5 \: \: and \: \: - 5[/tex]
Answer:
5, -5
Hope it helps.
Please send your query through comment section.
Each number in the first table represents the points scored by a player on the AOP Academy basketball team. Make a frequency distribution, including relative frequency.
percent of total = frequency/total x 100%
1 5 8 10 11 12
1 6 9 10 12 13
3 7 9 11 12 13
4 8 10 11 12 14
For the relative frequencies below, round to the nearest hundredth. If applicable, include a leading zero.
Score Frequency Relative Frequency
Answer:
1 2 8.33%
3 1 4.17%
4 1 4.17%
5 1 4.17%
6 1 4.17%
7 1 4.17%
8 2 8.33%
9 2 8.33%
10 3 12.5%
11 3 12.5%
12 4 16.67%
13 2 8.33%
14 1 4.17%
total =24
Un industriel souhaite fabriquer une boîte sans couvercle à partir d'une plaque de métal de
18 cm de largeur et de 24 cm de longueur. Pour cela, il enlève des carrés dont la longueur
du côté mesure x cm aux quatre coins de la pièce de métal et relève ensuite verticalement
pour fermer les côtés.
18
24
X
I
Le volume de la boîte ainsi obtenue est une fonction définie sur l'intervalle [0;9] notée
V(x).
1. Justifier que pour tout réel x appartenant à [0:9]: V(x) = 4x³ - 84x² + 432x.
2. On note V' la fonction dérivée de V sur [0; 9]. Donner l'expression de V'(x) en
fonction de x.
3. Dresser alors le tableau de variations de V en détaillant la démarche.
4. Pour quelle(s) valeur(s) de x la contenance de la boîte est-elle maximale ?
5. L'industriel peut-il construire ainsi une boîte dont la contenance est supérieure ou
égale à 650 cm³ ? Justifier.
Information : on calculera « à la main » la valeur maximale exacte.
Answer:
Un industriel souhaite fabriquer une boîte sans couvercle à partir d'une plaque de métal de
24
Step-by-step explanation:
Taylor earned $338.00 at her job when she worked for 20 hours. What was her hourly wage, in dollars per hour?
What is the answer.
Answer:
$338/20 = $16.90
Answer:
[tex]\$16.90 \textrm{ per hour}[/tex]
Step-by-step explanation:
To solve this, we simply have to divide the total amount of money that Taylor earned by the number of hours that she worked for.
[tex]\dfrac{\$338.00}{20 \textrm{ hr}} = \$16.90 \textrm{ per hr}[/tex]
the expression 3p+2f+s is the number of points earned by a basketball team for p three point shots, f two print field goals and s one point four shots your opponents made 8 three pointers and 8 two point field goals what is the minimum number of 1 point foul shots your team must make to win the game
The minimum number of 1 point foul shots that your team must make to win the game is given as follows:
20.
How to interpret the expression?The expression for this problem is defined as follows:
3p + 2f + s.
In which the variables are given as follows:
p is the number of three point shots.f is the number of two point shots.s is the number of one point shorts.The opponent made these following shots:
8 three pointers.12 field goals.11 foul shots.Hence the number of points of the opponent is given as follows:
8 x 3 + 12 x 2 + 11 = 59.
Your team made these following shots:
10 three pointers.8 field goals.x foul shots.Hence the number of points of your team is given as follows:
10 x 3 + 8 x 2 + x = 40 + x.
The team wins when:
40 + x > 59
x > 19
Hence the minimum number is of 20, as the number of one point shots is a discrete amount.
Missing InformationYour basketball team made 10 three-pointers, 8 two-point field goals, and x one-point foul shots.
Your opponents made 8 three-pointers, 12 two-point field goals, 11 one-point foul shots.
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Simplify the expression. 3.8−4.9n−3n+6
Answer:
-7.9n+9.8
Step-by-step explanation:
add em
Answer:
9.8 - 7.9n
Step-by-step explanation:
To simplify, we need to have the least amount of terms possible. To do this here, we need to group like terms. We will start by rearranging our equation to group our like terms, like this:
3.8 + 6 - 4.9n - 3n
Then, we will combine our liker terms, giving us:
9.8 - 7.9n
That is the most simplified we can get. So our simplified equation is
9.8 - 7.9n.
Hope this Helped!
a $300 trampoline is 25% off . what is the sale price of the trampoline ?
Answer: The sale price would be 225.00
The selling price of the trampoline will be $225.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that there is a 25% discount on the price $300. The discounted price will be calculated as:-
Discounted price = 300 x 0.75
Discounted price = $225
Therefore, the selling price of the trampoline will be $225.
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Do absolute value functions pass the vertical line test?
No, absolute value functions do not pass the vertical line test.
The vertical line test is a way to determine if a graph represents a function. A graph represents a function if and only if no vertical line intersects the graph more than once.
An absolute value function is defined as:
y = |x|
The graph of this function is a V-shape, with the vertex at the origin. The graph of the function is defined for all x-values, but the graph is not a function because a vertical line can intersect the graph at two points, one for x and the other for -x, for example if the vertical line x=2, it will intersects the graph at (2,2) and (2,-2), thus it does not pass the vertical line test.
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x race to power 4 minus 8x race to power 2 plus 1 equal to zero (Pls can anybody solve this)
Answer:
×⁴-8ײ+1
Explanation:
kaya yan ung sagot ksi hnd mo na sya mai-sosolve kasi mag kaiba ung upper right side nya kaya i coppy molng un^_^..hope its help...
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. talk and the initial velocity of the ball is 40 ft per sec. The height s of the hall in feet is given by the equation s=-2.7t^2 + 40t+6.5 , where the number of seconds after the ball was thrown. After how many seconds in the ball 22ft above the moons surface?
Answer:
Step-by-step explanation:
Using the given equation, we can solve for t when s is equal to 22.
22 = -2.7t^2 + 40t + 6.5
Subtracting 6.5 from both sides, we get:
15.5 = -2.7t^2 + 40t
Adding 2.7t^2 to both sides, we get:
18.2t^2 = 15.5 + 40t
Subtracting 40t from both sides, we get:
18.2t^2 - 40t = 15.5
Dividing both sides by 18.2, we get:
t^2 - 2.2t = 0.855
Factoring, we get:
(t - 1)(t - 0.855) = 0
Setting each factor equal to 0 and solving, we get:
t = 1 and t = 0.855
Therefore, the ball will reach a height of 22ft after 1 second and 0.855 seconds.
34 entre 250.6 con operacion
De acuerdo con la información del enunciado, el resultado de esta operación matemática (división) es 0,13
¿Cómo solucionar la división?Para solucionar la división, debemos realizar el siguiente procedimiento:Identificar las partes de la división (dividendo y divisor), en este caso como el divisor es más grande, debemos añadir un cero y una coma en el cociente para añadir un cero en el dividendo.Una vez hemos agregado un cero al dividendo, debemos identificar un número que al multiplicarlo con el divisor no de menor o igual al dividendo, en este caso sería 1, porque 250.6 * 1 = 250.6Entonces debemos hallar la diferencia entre 250.6 y 340, este procedimiento se hace con una resta y daría 89,4.Una vez hallamos este número, debemos identificar otro número para el cociente que multiplicado por 250,6 no de inferior o igual a 894, en este caso sería 3, 3 * 250,6 = 751.8En este paso debemos realizar otra resta para identificar la diferencia entre estos dos número. 894 - 751,8 = 142,2Esta división da como resultado un número decimal de varios valores por lo que podemos repetir este procedimiento tantas veces sea necesario dependiendo de la exactitud de nuestras necesidades.
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WILL MAKE BRAINLIEST! Find the solution to the system of equations. Round to the nearest tenth if necessary.
Answer:
The solution to the system of equations g(x) = x - 1 and f(x) = x^2 - 5 is the point where the two functions intersect, which is the point (1,0).
To confirm this, we can substitute x = 1 into each equation and see that they both equal 0:
g(1) = 1 - 1 = 0
f(1) = 1^2 - 5 = -4 + 1 = -3 = 0
So (1,0) is the solution to the system of equations.
Events A and B are mutually exclusive. Which of the following statements is also true? Select one: a. P(ANB) = P(A) + P(B) b. P(AUB) = P(A) + P(B) C. A and B are also independent. d. P(AUB) = P(4)P(B)
The events A and B are mutually exclusive, that is they are independent. Hence, option a and option c are correct.
What are mutually exclusive events?In probability theory, if two events don't happen at the same time, they are mutually exclusive or disjoint. The outcomes of a single coin flip, which can result in either heads or tails but not both, are an obvious example.
Given that A and B are mutually exclusive events.
For mutually exclusive events the probability of event A occurring or event B occurring is summation of the probability of the individual event.
Both the events are independent.
Hence, option a and option c are independent.
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what are the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4 ?
On solving the provided question, we can say that standard deviation 15.4 is the mean of the sample means' sampling distribution.
What is standard deviation?Standard deviation is a statistic that expresses the variability or variance of a group of numbers. While a high standard deviation suggests that the values are more dispersed, a low standard deviation suggests that the values tend to be closer to the established mean. A measure of how dispersed the data are from the mean is the standard deviation (or ). When the standard deviation is low, the data tend to be grouped around the mean, and when it is large, the data are more dispersed. The average variability of the data set is measured as standard deviation. It reveals the average deviation of each score from the mean.
If the population is normal to begin with then the sample mean also has a normal distribution, regardless of the sample size:
u = 15.4;
⊕ = 5.6
now
μ = 5.6[tex]\sqrt{5}[/tex] =
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two arithmetic sequences and both begin with and have common differences of absolute value , with sequence increasing and sequence decreasing. what is the absolute value of the difference between the st term of sequence and the st term of sequence ?
The difference between the 51st term of a and the 51st term of b is 1000.
the nth term of an arithmetic series is given by [tex]a_{n}= a_{0}+(n-1)*d[/tex]
where [tex]a_{0}[/tex] is the first term of the arithmetic series, [tex]a_{n}[/tex] is the nth term of the series and d is the common difference
Given that,
[tex]a_{0}=b_{0}=30[/tex]
Common difference of both series that have absolute value = 10
common difference of series a is 10 as this series is increasing
similarly, the common difference of series b is -10 as it is decreasing
Putting the values in the above equation we get:
[tex]a_{51}= a_{0}+(n-1)*d\\[/tex]
=> 30 + (51-1)*10
=> 30 + 500 = 530
Thus, the value of [tex]a_{51}[/tex] is 530.
[tex]b_{51}= b_{0}+(n-1)*d\\[/tex]
=> 30 + (51-1)*-10
=> 30 -500 = -470
Thus, the value of [tex]b_{51}[/tex] is -470.
so we have to find the value of [tex]a_{51}-b_{51}[/tex] which is 530 - (-470) =530 +470 =1000
Therefore, The difference between the 51st term of a and the 51st term of b is 1000.
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Please help
Найти max u min f(x) y=x²-8x+19;xє [-1;5]
Answer:
54 nhcuioogffhuivkoov89
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x - 1)
b. y = f(²)
c.
d.
y - 1 = f(x)
²/₁ = f(x)
Answer:
c
Step-by-step explanation:
given f(x) then f(x) + c is a vertical translation of f(x)
• if c > 0 then a shift up of c units
• if c < 0 then a shift down of c units
here the red graph is i unit above the black graph , then c = + 1
and equation is
y = f(x) + 1 ( subtract 1 from both sides )
y - 1 = f(x)
Between what two consecutive integers does the square root of 12 lie
The two consecutive integers that the square root of 12 lies between are 3 and 4.
How to find the integers ?Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. This therefore means that integers can only be whole numbers and consecutive integers follow each other. For instance, 1, 2, and 3 are consecutive integers.
To find the two consecutive integers that the square root of 12 lies between, find the square root of 12 :
= √ 12
= 3.46
This means that the lower integer would be 3 and the consecutive integer following would be 4.
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Conditional statements: MELTS IN YOUR MOUTH , NOT IN YOUR HAND!
Converse:
Inverse:
Contrapositve:
dont forget to use If and Then
If something melts in your mouth and not in your hand, then it must be something that has a low melting point.
Converse,Inverse and Contrapositve
If it melts in your hand, then it does not melt in your mouth.Inverse: If it does not melt in your mouth, then it does not melt in your hand.Contrapositive: If it does not melt in your hand, then it does not melt in your mouth.This could be something like chocolate, marshmallows, or even butter.The inverse of this statement is if something does not melt in your mouth but does in your hand, then it must have a high melting point.This could be something like metal or plastic. The contrapositive of this statement is if something does not melt in your hand, then it will not melt in your mouth either.This could be something like a rock or a piece of ice. All of these statements apply when discussing the melting temperature of different materials. Therefore, when it comes to melting, it all depends on the temperature of the material and whether it is safe to put in your mouth.To learn more about Converse,Inverse and Contrapositve refer to:
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A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster. Use the definitions of X1 and X2 as given in the table. Consequently, .
If the data from X2 is higher than the data from X1, then the researcher can conclude that using an octane booster increases gasoline mileage
X1: Gas mileage before using octane booster
X2: Gas mileage after using octane booster
The researcher is comparing X1 and X2, to determine if using an octane booster increases gasoline mileage.
1. The researcher selected a random sample of seven cars and drove them for two weeks without using the octane booster (X1).
2. The researcher then drove the same seven cars for two weeks with the octane booster (X2).
3. The researcher then compared the data from X1 and X2 to see if there was an increase in gasoline mileage.
4. If the data from X2 is higher than the data from X1, then the researcher can conclude that using an octane booster increases gasoline mileage.
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a basket contains 15 apples, of which two are rotten. a sample of three apples is selected at random. in how many ways can two rotten apples be chosen?
There are 6 ways to choose two rotten apples out of a sample of three.
What is algebra ?
Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include the manipulation of equations and formulas using the rules of arithmetic, the solution of equations, and the study of the properties and behaviors of functions.
There are two rotten apples out of 15 total apples, so the probability of choosing a rotten apple is 2/15. The probability of choosing two rotten apples out of a sample of three is (2/15) * (1/14) * (3 choose 2) = (2/455) * 3 = 6/455. So there are 6 ways to choose two rotten apples out of a sample of three.
Hence , There are 6 ways to choose two rotten apples out of a sample of three.
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Find the measure of each acute angle.
Answer:
Step-by-step explanation:
The sum of the angles in a triangle is 180
So, (19x-1)+(13x-5)+90(right angle) =180
32x+84=180
32x=96
x=3
19x3-1=56
13x3-5=34
answer : 56, 34
write an explicit rule for the sequence {-7,-1,5,11,17}. what is the position number for the term 47?
The position number for term 47 is 269.
This is an arithmetic sequence since each term has a common difference. Let us test it.
The difference between 1st and 2nd terms is
-7 + d = -1
d = -1 + 7
= 6
Now we check the difference for term
The difference between 3rd and 4th terms is
5 + d = 11
d = 11 – 5
= 6
So the difference is the same so we can apply a common equation for arithmetic sequence
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + d ( n - 1 )
Where :
[tex]a_{n}[/tex] = number at term n
[tex]a_{1}[/tex] = first number of sequence
d = difference for each number sequence
n = term
From the question, we need to find the number at position term 47
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + d ( n - 1 )
[tex]a_{47}[/tex] = -7 + 6 ( 47 - 1 )
= -7 + 6 ( 46 )
= -7 + 276
= 269
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in a group of 10 people, each person shakes hands with everyone else once. how many handshakea re there
The possible number of handshakes in a group of 10 people, where each person shakes hands with everyone else once are equal to 45.
Number of people in the group = 10
Each person shakes hands with everyone else once. When n people shake hands with each other, the total number of handshakes = ⁿC₂
where C denotes the combination , is represent an arrangement of objects in different ways without care of order.
Total number of handshakes = ¹⁰C₂
= 10!/2!(10 - 2)! = 10!/2!×8!
= 10×9×8!/(2×1)8!
= (10×9)/2
= 45 handshakes.
In other words, when 10 people are shaking hands, each one will shake hands with 9 others. Then, the total possible number of handshakes in a group = 10 × 9 = 90
(but remember the point that , when A shakes hands with B, B is also shaking hands with A, i.e., we are counting one handshake twice, one from A's side and the other from B's side).
The total number of handshakes in actual way = 90/2 = 45 handshakes. Hence, the total number of handshakes in a group is 45.
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A town with 1800 homes was surveyed. of the 360 who answered the survey, 48 did not have computers at home. On the basis of the survey, estimate how many total homes do not have computers at home.
URGENT!!!!!!!
Answer:
here
Step-by-step explanation:
18000 divided by 360, then multiply that new number with 48. i believe that is the correct math...
Answer:
240
Step-by-step explanation:
48/360*1800
240
Which of the following is the domain of the function {(3,6),(5,7),(7,7),(8,9)}
1. {3,5,7,8}
2. {6,7,9}
3. {(6,3),(7,5),(7,7),(9,8)}
4. {1,3,5,7,9}
On solving the provided question, we can say that the roasting approach, which represents sets as 3, 5, 7, and 8, is one way to write domains
what is domain?The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these integers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully utilised to produce a single value of y by using the value of x.
A set of ordered pairs (x, y), {(3,6),(5,7),(7,7),(8,9)}.
The collection of x values that make up the domain of the function f(x) include,
The roasting approach, which represents sets as 3, 5, 7, and 8, is one way to write domains. Another is the arrow diagram method.
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What is the quotient?
at what point do the curves r1(t) = t, 3 − t, 15 + t2 and r2(s) = 5 − s, s − 2, s2 intersect?
Therefore , the solution of the circle comes out to be the parametric curves cross at position (4, 1, 32).
What is a circle?Each point in the plane that is a certain distance from some other point forms a circle (center). Thus, it is an arc composed of points that also are spaced apart from one another in the plane. Additionally, at every angle, it is radial symmetric about the center. In the closed, two-dimensional plane of a circle, every pair of endpoints is uniformly separated from the "center." By drawing lines through the circle, one can create a line of circular symmetry. Additionally, it rotates equally at all angles about the center.
Here,
This is what we get when we use the parametric values in both r2 and r1 as functions of t:
Curve 1: x1(t), y(t), and z(t) = 48-12
Figure 2: Curve 2:
x2(t)=8-t, y2(t)=t-3, 22(t) = 12
Where they meet, they are equal, so:
x1(t) Equals x2(t),
where t=8-t 2t8 and t=4
(x(t), y(t), z(t)) = using curve 1 (t,5-t,48-12)
Following that,
(x(4), y(4), 2(4)) = (4,5-4, 48-42) = (4,1,32)
They get together at point (4, 1, 32).
Therefore , the solution of the circle comes out to be the parametric curves cross at position (4, 1, 32).
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How much interest will you have in 6 months if you invest $1,000 at 3% compounded monthly
The interest that we will have in 6 months if you invest 1000 dollars at 3% compounded monthly is 15.09 dollars.
How to find compound interest?Let's find the compound interest that will if one invest 1000 dollars in 6 months at 3% rate compounded monthly.
using compound interest formula,
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
where
p = principalr = raten = number of timest = timeTherefore,
p = 1000
r = 3% = 3 / 100 = 0.03
t = 0.5
n = 12
Therefore,
[tex]A = 1000(1+\frac{0.03}{12} )^{12(0.5)}[/tex]
A = 1000(1 + 0.0025)⁶
A = $1,015.09
Therefore,
Interest = 1,015.09 - 1000 = $15.09
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