The statement that is true is that Taylor earned more than Raimi for the hours worked.
Taylor earned $308 for working 14 hours, which is equivalent to $22 per hour. Raimi earned $288 for working 12 hours, which is equivalent to $24 per hour. Therefore, Taylor earned a higher hourly wage than Raimi.
This statement can be further verified by computing the total wages earned by both Taylor and Raimi for the same amount of hours: if both Taylor and Raimi worked 14 hours, Taylor would have earned more than Raimi by $20. To demonstrate, Taylor would have earned $308 for 14 hours and Raimi would have earned $336 for 14 hours.
Therefore, Taylor would have earned the higher wage.
In conclusion, Taylor earned more than Raimi for the hours worked, verifying the statement that Taylor earned more than Raimi.
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4 A popular board game includes a five-section
spinner to determine the number of spaces a
player moves during a turn. The results of
10 spins are shown.
Spin
Spaces
Moved
1 2 3
F 0.1
G 0.6
5 4
4 5 6 7 8 9 10
2 5 1 3 5 4 5 2
What is the experimental probability a player
will move 2 spaces and 5 spaces during a
game?
H 0.08
J Not here
In an experiment, there is a H 0.08 probability that a player will move both two and five spaces during a game.
What is the simple definition of probability?Player movement during a turn is determined by a spinner. It displays the outcomes of 10 spins.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities. chances in multiples.
A (1): the probability that a particular occurrence will take place. (2): the proportion of the number of outcomes in a comprehensive set of equally likely options that result in a specific event to the total number of conceivable outcomes. How likely something is to occur is known as its probability. when we are unsure of how an event will turn out.
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What is the degree of polynomial 5x2 4x2 7x?.
The degree of the polynomial 5x2 + 4x2 - 7x is 3.
5x2 and x2 are the same power value is 4 and 7x contain the power value 1 so the difference of the degree of polynomial we find is 3. When they don't already, unite all the different phrases in the expression to make it simpler.
The phrases that are not associated with a variable, like 3 or 5, are referred to as constant terms. The terms associated with the variable are known as coefficients. Either intentionally disregard these terms or check them off the list while looking for the degree of a polynomial.
The polynomial is represented in standard form in this manner. First should be the phrase with the highest exponent, and last should be the word with the lowest exponent. This will enable you to determine which term's exponent has the highest value.
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to solve the equation below you need to divide by what number 2X = 8
given g(x)=-x^2+10x-3 find the following,
g(9)
g(-1)
Step-by-step explanation:
g(x) = - x² + 10x - 3
To get the g(9) substitute X in the equation for 9
g(9) = - 9² + 10(9) -3
g(9) = 81 + 90 - 3
g(9) = 171 - 3
g(9) = 168
Similarly to get g(-1)
g(-1) = - (-1)² + 10(-1) - 3
g(-1) = - 1 - 10 - 3
g(-1) = - 14
Where would the intensity of an earthquake be higher?.
The intensity of an earthquake generally higher near the epicenter.
Intensity is based on observed effects of ground motion on people, buildings and natural features. This varies from site to site within the fault region, depending on the observer's position relative to the earthquake epicenter. The seismic intensity of an earthquake decreases as the distance from the epicenter increases, and decreases as the distance from the epicenter increases. An epicenter is a point on the surface of the Earth directly above where an earthquake begins. Earthquakes with a moment magnitude of approximately 6.5 or less occur in a concentrated area directly below the epicenter. Therefore, apart from the effects of different rock types and different soil types, the greatest shaking occurs at the epicenter. Earthquakes with a moment magnitude greater than 6.5 cause faults at some distance from the epicenter. At these large sizes, it is common for fractures to reach the surface. In such cases, the maximum shaking may or may not occur at the epicenter..
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Uie buy 3 piece of pizza and 2 cookie for a total of 6. 50. The next day he buy 1 piece of pizza and 1 cookie for 2. 50. How much doe a cookie cot
The cost of one cookie is 1. This value can be determine from the eliminate methods or substitution methods.
How to determine the cookie cost?As per data given is a two different formula of pizza and cookie, we can determine it by elimination methods or substitution methods. Let do it by elimination methods. As per formula given are first buy 3 pizza + 2 cookie = 6.50 and the second buy 1 pizza + 1 cookie = 2.50. The calculation will be:
3 pizza + 2 cookie = 6.50
1 pizza + 1 cookie = 2.50 multiply with 3 because we want eliminate pizza
3 pizza + 2 cookie = 6.50
3 pizza + 3 cookie = 7.50 -
0 pizza - 1 cookie = - 1
1 cookie = 1
Hence the price of one cookie will cost you 1.
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What is the inverse equation of the function, y = 3x - 6? y -1 = y -1 = x + 6 x -1 = 3 y - 6 y -1 = 3 x + 6.
The best answer (and only correct answer) among the options given is: option [C]: y⁻¹ = (x+6) / 3 .
What is the inverse function?
The inverse function returns the original value for which a function gave the output. If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x.
Given the original function: y = 3x - 6 ;
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
x = 3y − 6 ;
Now, rewrite in "slope-intercept form" ; or y = mx + b ;
that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only); then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope"; and "b" refers to the 'y-intercept".
So, we have the inverse function:
x = 3y − 6 ; we want to write in slope-intercept form;
Add "6" to each side of the equation:
x + 6 = 3y − 6 + 6 ;
x + 6 = 3y ;
Rewrite as: 3y = x + 6 ;
Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
3y / 3 = (x + 6) / 3 ;
to get:
y = (x + 6) / 3 ;
y = (x/3) + (6/3) ;
y = (x/3 ) + 2 ;
or; write as: y = (1/3)x + 2 ;
Now, let us examine the answer choices given:
Note that all the answer choices begin with "y-1" ;
(except "answer choice: [B]" , which begins with "x-1"). This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1". Rather, it mean y⁻¹ or x⁻¹ as notation for the "inverse" (not to be confused with the exponent notation. The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
y⁻¹ = (x + 6) / 3 ;
y⁻¹ = (x/3) + (6/3) ;
y⁻¹ = (x/3 ) + 2 ;
or; write as: y⁻¹ = (1/3)x + 2
That being said:
Therefore, the best answer (and only correct answer) among the options given is: option [C]: y⁻¹ = (x+6) / 3 .
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Erika i purchaing a new cooler from outdoor World. The cooler cot $125. If Erika ha a coupon for 15% off, and ha another coupon for $15 off, which coupon hould he ue?
Erika should use the coupon which gives her a discount of 15% as it will bring down the cost of the cooler to $106.25.
Given,
The initial cost of the cooler = $125
Erika has two options: (i) 15% off coupon
(ii) $15 off coupon
Cost of the cooler that Erika gets from option (i):
[tex]= 125 - \frac{15}{100} * 125\\= 125 - 18.75\\= 106.25\\[/tex]
Cooler costs $106.25 to Erika from option (i).
Cost of the cooler that Erika gets from option (ii):
[tex]= 125 -15\\=110[/tex]
Cooler costs $110 to Erika from option (ii).
We can clearly see, $106.25 < $110
Therefore, Erika should use the coupon which gives her a discount of 15%.
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A rental car company charges $24 per day to rent a car and $0.10 for every mile
driven. Xin wants to rent a car, knowing that:
• She plans to drive 200 miles.
.
. She has at most $140 to spend.
Write and solve an inequality which can be used to determine d, the number of days
Xin can afford to rent while staying within her budget.
Inequality:
Answer:
24 a b c d
Step-by-step explanation:
whyats the answert
Answer:[tex]d\leq 5[/tex]
[tex]24d+20\leq 140[/tex]
Step-by-step explanation: First You do 200x0.10 which equals 20. then you put the cost per day first so 24 per day + the cost of all miles which is 20 at most means she can also spend less then 380 so we use the greater than equal symbol.
The power, P (watts), of a car engine is proportional to the square of its speed,
s (m/s).
When s= 25, P = 1400.
Work out the speed (to 1 DP) when the power is 1820 watts
m/s
Answer:
28.5 m/s
Step-by-step explanation:
Given that power is 1400 W when speed is 25 m/s, and power is proportional to the square of speed, you want the speed when the power is 1820 W.
ProportionSince power is proportional to the square of speed, the ratio of speed squared to power is a constant:
s²/P = 25²/1400 = x²/1820
where x is the unknown speed.
SolutionWe can find the value of x by multiplying by 1820 and taking the square root:
x² = 25²(1820/1400)
x = 25√(1820/1400) = 25√1.3 ≈ 28.5 . . . . m/s
The speed is 28.5 m/s when the power is 1820 watts.
What are the two properties of irrational numbers?.
Properties of irrational number:
The addition of an irrational number and a rational number gives an irrational number. Multiplication of any irrational number with any nonzero rational number results in an irrational number.Here, The definition of irrational number:
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
The following are the properties of irrational numbers:
The addition of an irrational number and a rational number gives an irrational number. Multiplication of any irrational number with any nonzero rational number results in an irrational number.Learn more about Irrational Number at:
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you invested 52,400 at 7% compounded annually for 10 years what is your total return on this investment
Answer:
$50678.73
Step-by-step explanation:
Answer:
103,078.73.
Step-by-step explanation:
Amount after n years = P(1 + r/100)^n where P is amount invested, r is the percentage rate and n = number of years.
So, here we have:
Total after 10 years = 52400(1 + 7/100)^10
= 52400 * 1.967151357
= 103,078.73.
y= x^2-4
find the zeros.
The zeros of the given function y = x²-4 are 2 and -2.
What is zero of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0.
Given is a function, y = x²-4
To find the zeros, equate the function to 0,
x²-4 = 0
x² = 4
x = ±2
Hence, the zeros of the function are 2 and -2.
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Omar went to the college traveling 8 mph and returned home traveling 24 mph. If the total trip took 8
hours, how long did Omar travel at each speed?
hours at 8 mph
hours at 24 mph
The distance that light travels in 12.3 nanoseconds is 37.9 meters.
What is speed?
Speed is the rate of change of an object's position relative to a given frame of reference. It is a scalar quantity, meaning it has both magnitude and direction. Speed is usually measured in meters per second (m/s) or kilometers per hour (km/h). Speed is an important factor in many activities, including travel, sports, and transportation.
This can be calculated by multiplying the speed of light (3.0 x 108 m/s) by the time (12.3 nanoseconds), which yields a result of 37.9 meters. This answer is rounded to the correct number of significant figures, which is two.
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How do you find the nth sum?.
The nth partial sum of a geometric sequence can be calculated using the first term a1 and common ratio r as follows: Sn=a1(1−rn)1−r. The infinite sum of a geometric sequence can be calculated if the common ratio is a fraction between −1 and 1 (that is |r|<1) as follows: S∞=a11−r.
In arithmetic, a chain is an enumerated series of gadgets in which repetitions are allowed and order matters. Like a hard and fast, it consists of contributors (additionally referred to as elements, or terms). The quantity of elements (possibly endless) is called the duration of the series.
Unlike a fixed, the same factors can appear a couple of times at distinct positions in a chain, and unlike a fixed, the order does be counted. formally, a chain can be described as a function from herbal numbers (the positions of elements inside the collection) to the factors at each position. The belief of a sequence may be generalized to a listed family, defined as a character from an arbitrary index set.
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What distance on the map (in centimeters) represents an actual distance of 4 kilometers
The distance on the map, in centimeters, that represents an actual distance of 4 kilometers, is 3. 2 cm
How to find the distance ?The map is such that the scale is 4 cm on the map, equals 5 km on the ground.
If we have a distance of 4 km therefore, the distance on the map would be:
= ( Distance on ground x scale on map ) / Kilometers on scale
= ( 4 x 4 ) / 5
= 16 / 5
= 3. 2 cm
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Full question is:
Scale of a map says that 4 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 4 kilometers?
What are the examples of logarithmic equation?.
The examples of logarithmic equation are 625 = [tex]5^{4}[/tex] and 4 = [tex]log_{5}625[/tex], 100000 = [tex]19^{5}[/tex] and 5 = [tex]log_{19}100000[/tex] .
To generate a given number, a base must be raised to a particular exponent, power, or logarithm. The time needed to multiply numbers with numerous digits was drastically decreased thanks to the logarithms, which were developed in the 17th century to speed up calculations.
For more than 300 years, they served as the foundation for numerical labor, but the development of mechanical adding machines in the late 19th century and computers in the 20th century made them obsolete for large-scale calculations.
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factorise
12x*2 + 15xy-9x
Answer:
see picture
Step-by-step explanation:
Factorise for 12[tex]x^{2}[/tex]+15xy-9x is 3x (4x+5y−3)
Solution steps:
The first step is to factor out 3.
So,
3 (4[tex]x^{2}[/tex]+5xy-3x)
The second step is to consider 4[tex]x^{2}[/tex]+5xy−3x. Factor out x.
So,
x (4x+5y−3)
The third step is to rewrite the complete factored expression.
3x (4x+5y−3)
Evaluate:
3x (4x+5y−3)
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n + 3 = -6
pls solve for n :)
If
CE
and
FH
are parallel lines and mCDB= 65°, what is mEDB?
Answer:
65° or 115°
Step-by-step explanation:
there is no picture but if
mEDB looks like mCDB then its 65°
but if they dont look alike then
180-65=115
straight line is 180°
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What is the perfect square trinomial of 36?.
A perfect square trinomial is a polynomial of the form (x + b)^2 = x^2 + 2bx + b^2. It is called a "perfect square" because when it is multiplied out, the resulting polynomial is a square of a binomial.
To find the perfect square trinomial of 36, we need to find two numbers that when added, give us b and when multiplied give us b^2=36.
Those two numbers are 6 and -6, since 6*-6 = -36 = 36.
So, the perfect square trinomial of 36 is (x + 6)(x - 6) = x^2 - 36
Another way to find the perfect square trinomial is to take the square root of the constant term (36) and then add and subtract that value to the variable.
√36 = 6
then x^2 + 6x - 6x + 36 = x^2 - 36
So, the perfect square trinomial of 36 is x^2 - 36.
[tex]36[/tex] is the square of [tex]6[/tex]. The square of a binomial is called a perfect square trinomial. [tex]X^2+12x+36[/tex] is a perfect square trinomial.
I need help with this question, please
The credit utilization ratio would be 11.7%.
What is credit utilization?
The credit utilization ratio is a measure of how much of a person's credit limit is being used. It is calculated by dividing the total credit card balances by the total credit limit.
In Mary's case, the total credit card balances are $150 + $200 = $350
The total credit limit is $2000 + $1000 = $3000
To find the credit utilization ratio, we divide the total credit card balances by the total credit limit:
$350 / $3000 = 0.117 or 11.7%.
Hence, the credit utilization ratio would be 11.7%.
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In the expression 5 x y over 7 what value of y would make a product greater than 5 ?
Answer:
y > 7x
Step-by-step explanation:
(5xy)/7 [5 x y over 7]
["what value of y would make a product greater than 5 ?"] can be written as:
(5xy)/7 > 5
Rearrange to find y:
(5xy)/7 > 5
(5xy) > 35
y > 35/5x
y > 7x
maya reads 6 3/4 chapters in 1 7/8 hours
what is the unit rate in chapters per hour?
write your answer as a fraction or a mixed number in simplest form
Answer:To find the unit rate in chapters per hour, we need to divide the number of chapters read by the amount of time it took to read them.
6 3/4 chapters / 1 7/8 hours = (64+3)/(18+7) chapters/hours
= (25/8) chapters/hours
To simplify this fraction, you can divide both the numerator and denominator by their greatest common factor which is 1.
25/8 chapters/hours = (25/8) chapters/hours
So the unit rate in chapters per hour is 25/8 chapters per hour.
Step-by-step explanation:
Two hiker walk on a trail in the direction of increaing mile marker number. Mandy tart at mile marker 1 and hike at a rate of 2. 5 mile per hour. At the ame time, Rita tart at mile marker2 and hike at a rate of 3 mile per hour. The equation 2. 5h1= 3h 2 repreent the number of hour h it will take Mandy to catch up with Rita
Mandy will catch up Rita at 0.5 hour after they start walking.
When will Mandy catch up Rita?As per data given are Mandy start = 1, Rita start = 2, Mandy speed = 5 and Rita speed = 2. Based on this explanation we can determine the formula for Mandy time to catch up Rita as follow
s1 = s2
Rita start + Rita speed x t = Mandy start + Mandy speed x t
2 +3 x t = 1 + 5 x t
2 + 3t = 1 + 5t
2 - 1 = 5t - 3t
1 = 2t
t = 0.5 h
Hence, Mandi will catch up with Rita at 0.5h after start.
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State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Thank you!
Answer: Similar by SAS, and ABC ~ AVU
Step-by-step explanation:
AV = 77 - 66 = 11
AU = 42 - 36 = 6
6/36 = 1/6
11/66 = 1/6
Therefore, these two triangles ABC and AVU are similar by SAS similarity.
ABC ~AVU :>
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
Solve the system of equations using any method. Describe the method used.
The solutions of the system are x = 1, y = 2 and z = -1.
And we solve the system with the help of Jordan-canonical form.
What is matrix?A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the numbers.
Given:
A system of equations,
x + y - 2z = 5
-x + 2y + z = 2
2x + 3y - z = 9
In the matrix form;
[tex]\left[\begin{array}{ccc}1&1&-2\\-1&2&1\\2&3&-1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}5\\2\\9\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1&-2\\0&0&-10/3\\0&1&3\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}5\\10/3\\-1\end{array}\right][/tex]
That means,
x = 1, y = 2 and z = -1.
Therefore, the solutions of the system are x = 1, y = 2 and z = -1.
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ASAP!! Please help me answer all of these questions! No links or files please! I will report!
Thank you have a good day!
The questions 18, 19, and 20 have the values of x for the bisected angle to be 6, 15, and 8 respectively.
How to derive values of x for the bisected anglesIf line UW bisects m∠TUV then;
m∠TUW = m∠WUV
13x - 5 = 7x + 31
13x - 7x = 31 + 5 {collect like terms}
6x = 36
x = 36/6 {divide through by 6}
x = 6
If line MO bisects m∠PMN then;
2(m∠OMN) = m∠PMN
2(2x + 7) = 74 {divide through by 2}
2x + 7 = 37
x = (37 - 7)/2 {make x the subject}
x = 15
If line EF bisects m∠CEB then;
m∠FEB = m∠CEF
10x - 3 = 7x + 21
10x - 7x = 21 + 3 {collect like terms}
3x = 24
x = 24/3 {divide through by 3}
x = 8
Therefore 6, 15, and 8 are the values of x for questions 18, 19, and 20 respectively for the bisected angles.
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What is the first step for solving the system using substitution results in an equation?.
The first step for solving the system using substitution results in an equation is solve one equation for either x or y.
The substitution method is a quick and easy way to algebraically solve a set of linear equations and determine the variables' solutions. According to what the name implies, this method entails determining the value of the x-variable in terms of the y-variable from the first equation and then substituting or replacing the value of the x-variable in the second equation.
We can solve and determine the value of the y-variable in this method. Finally, we may use any of the above equations to obtain x by substituting the value of y. This procedure can also be switched around so that we first solve for x before solving for y.
If we take an example ,
Equation 1: 3x + 2y = 11
Equation 2: -x + y = 3
Substituting y = 3+x in equation 1 is the first step in the equation.
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