A predicate nominative is a noun or a pronoun which follows the verb and describes the subject.
What is the busiest bar night of the year?Thanksgiving Eve is the biggest bar night of the year. Doctors warn against it for 2021. The night before Thanksgiving, sometimes referred to as "Drinks giving" or "Blackout Wednesday," is typically one of the most crowded bar nights out of the year.In order to design a telephony circuit, trunk, or call center, it is needed to take into account the busiest calling hour (as a "sliding" 60-minute period) in one day, or week, month or year, generally calculated as an average.This period is called the "busy hour" and is used to compute the traffic intensity, in Erlangs, considering that if the circuit is busy 100% of the time during 3600 seconds, it will be cursing 1 Erl of traffic.This traffic can result from 60 calls of 1 min each, 36 calls of 100 sec each, or any combination that have the same outcome of 1 Erl. In order to define, for instance, the number of employees in a call center, a very important parameter is the average time used for each call, adding the queuing time, the true talk time and any other time needed to set up a successful call, i.e., the time that the subscriber stays on the phone after putting the call.To learn more about average bar refer to:
https://brainly.com/question/9233652
#SPJ4
consider a stick of length 1. we break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick. we then repeat the same process on the piece that we were left with. let y be the length of the piece that we are left with after breaking twice. find
The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.
In the given question, consider a stick of length 1.
We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.
We then repeat the same process on the piece that we were left with.
We have to find expected length of the piece that we are left with after breaking twice.
In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.
We also have to calculate the variance Var(Y).
Following Laws are used in the solution
Law of Iterated Expectations: E[X] = E[ E[X|Y] ]
& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])
Now, Y = Length of the stick after we break it the first time
and X = length of the stick after we break it the second time
As both the distribution is uniformly distributed.
Now, E[Y] = L/2 and Var(Y)= l^2/12
E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12
As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12
Using Law of Iterated Expectations
E[X] = E[ E[X|Y] ]
E[X] = E[ y/2 ]
E[X] = \int_{L}^{0}
E[X] = L/4
Now using Law of Total Variance
Var(X) = E[Var(X|Y)]+Var( E[X|Y] )
Var(X) = E[y^2/12]+Var(y/2)
Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)
Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)
Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)
Var(X) = 7L^2/144
To learn more about Law of Total Variance link is here
brainly.com/question/7635845
#SPJ4
Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)?
(x - 4)2 + y2 = 100
(x - 4)2 + y2 = 10
x2 + (y - 4)2 = 10
x2 + (y - 4)2 = 100
find the the dimension of the cube 9.261 cent meter cube
Answer:
2.1 cm
Step-by-step explanation:
All the sides of a cube are equal.
let x = side of a cube
Volume of a cube = x³
Therefore x = [tex]\sqrt[3]{9.261}[/tex] = 2.1 cm
Solve for m.
34m>−12
Responses
m>−16
m is greater than negative 16
m<−16
m is less than negative 16
m>−9
m is greater than negative 9
m<−9
The solution to the inequality expression 3/4m > −12 is m > -16
How to determine the solution to the expression?From the question, we have the following parameters that can be used in our computation:
34m>−12
Rewrite properly
So, we have the following expression
3/4m > −12
Multiply both sides of the expression by 4
So, we have the following representation
3m > -48
Divide both sides of the expression by 3
m > -16
Hence, the solution is m > -16
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
Gracie Shay wants to buy a new Hummer in five years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now at a rate of 6% compounded semiannually, she:
Multiple Choice
Will miss her goal by about $10,893.
Will miss her goal by about $11,680.
Will miss her goal by about $11,833.
Gracie shay must add $11,873 to buy that new hammer with its initial investment.
What is compound interest?Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.
As per the given information in the question,
The price of hammer =$28,000
The annual rate of interest = 6%
Total number of years = 5
Principal investment = $12,000
The equation for annual compound interest, with the principal amount included, is :
A = [tex]P(1+\frac{r}{n} )^(^n^t^)[/tex]
Substitute all the values from above in the equation,
A = 12,000(1+0.06/2)⁽²⁾⁽⁵⁾
A = 12,000 × 1.03¹⁰
A = $16127
After five years, Gracie won't be able to be the hammer and will have to pay more money:
28000 - 16127 = $11,873.
To know more about compound interest:
https://brainly.com/question/14295570
#SPJ1
What is a variable called that can only be 1 or 0?
Binary Variable is a variable that can only be 1 or 0. Binary variables are categorical variables that can take only one of two values, are usually represented as Boolean (True or False) or integer variables (0 or 1), and usually have no attributes indicates that it exists.
Binary variables have only two states, such as 0 or 1. 0 defines the variable does not exist, 1 defines the variable exists. For example, for the patient-defining variable Smoker , 1 means the patient smokes and 0 means the patient does not smoke. Binary variables can be viewed as if they were scaled by intervals, which can lead to misleading clustering results. Therefore, a method that defines binary data is essential for computing dissimilarities.
Binary data is data whose unit can take on only two possible states. These are often labelled as 0 and 1 in accordance with the binary numeral system and Boolean algebra. Binary data occurs in many different technical and scientific fields, where it can be called by different names including bit (binary digit) in computer science, truth value in mathematical logic and related domains and binary variable in statistics.
Binary data is used to represent one of two conceptually opposite values. "correct" or "incorrect".
The Result of Outcomes (Success or Failure)The answers to Yes or No questions. Presence or absence of some characteristics.The presence of truth or false of hypothesis.Learn more about Variable:
https://brainly.com/question/1511425
#SPJ4
please help, screenshot is here:
[tex]Answer:\ cos(\theta_1)=\boxed{-\frac{40}{41} }[/tex]
Step-by-step explanation:
[tex]\displaystyle\\sin(\theta_1)=\frac{9}{41}\ \ \ \ \ \ 90^0 < \theta_1 < 180^0\ \ \ \ \ \ \ cos(\theta_1)=?\\\\sin^2(\theta_1)+cos^2(\theta_1)=1\\\\cos^2(\theta_1)=1-sin^2(\theta_1)\\\\cos^2(\theta_1)=1-(\frac{9}{41})^2\\\\cos^2(\theta_1)=1-\frac{81}{1681} \\\\cos^2(\theta_1)=\frac{1(1681)-81}{1681} \\\\cos^2(\theta_1)=\frac{1600}{1681} \\\\[/tex]
Extract the square root of both parts of the equation:
[tex]\displaystyle\\\cos(\theta_1)=б\sqrt{\frac{1600}{1681} } \\\\\cos(\theta_1)=б\sqrt{\frac{40^2}{41^2} } \\\\\cos(\theta_1)=б\sqrt{(\frac{40}{41})^2 } \\\\\cos(\theta_1)=б\frac{40}{41}[/tex]
[tex]\displaystyle\\Since\ 90^0 < \theta_1 < 180^0, \\\\ therefore\ cos(\theta_1)=-\frac{40}{41}[/tex]
Lin is paid $90 for 5 hours of work. She used the table to calculate how much she would be paid at this rate for 8 hours of work
Answer: $144
Step-by-step explanation: To find the price she gets paid for 1 hr we need to divide the money by the hours. So, 90 / 5 = 18.
So, now we know she gets paid 18 dollars an hour. So, we need to find out how much she earns in 8 hrs. So, we would simply multiply the 18 by the 8, to get $144.
What are the first six numbers of the Fibonacci sequence?; What is the value of Fibonacci 6?; What is the 63rd term of the Fibonacci sequence?; What is the 12th term of the Fibonacci sequence 1 1 2 3?
The solutions for all three questions regarding the Fibonacci sequence are given below.
The Fibonacci sequence can be defined as a set of integers that form a sequence that follows one rule ie., every number is the sum of the preceding two numbers. The first six numbers of the Fibonacci sequence are = 1, 1, 2, 3, 5, 8.
The 63rd term of the Fibonacci sequence is 4052739537881. The 12th number in this sequence is 144. This can be found out using the formula -
= [tex]F_{n-1}[/tex] + [tex]F_{n-2}[/tex]
Here, if we know the values of the preceding two numbers, we can easily find out the value of any number in the Fibonacci sequence.
Learn more about the Fibonacci sequence on
https://brainly.com/question/26507758?referrer=searchResults
#SPJ4
Round 231469.335329 to the nearest thousand.
Answer:
Below
Step-by-step explanation:
231469.335329 to the nearest thousand. '1' is the thousand position
the '4' next to it says leave the '1' alone to get
231000 rounded to nearest thousand.
Find the value of k so that the graph of 2y-2=1/7kx
has a slope of 1/2
The value of k will be 7 by using conditions slope of the graph.
What is slope?
Slope of a line measures its steepness . Slope is calculated as "rise over run" (change in x divided by change in y).
Two ways to find the slope :
1. Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates
(rise/run or slope).
2. Differentiate the line's equation and value of dy/dx that will be value of slope .
Mathematically ,
to find slope we differentiate the graph equation :
2dy/dx = 1/7k
dy/dx = 1/14k
Given slope = 1/2
so, 1/14k = 1/2
k = 7.
Learn more about slope using link :
https://brainly.com/question/16949303
#SPJ1
(a) Find inequalities that describe a hollow ball with diameter 80 cm and thickness 0.4 cm. (Assume the ball is centered at the origin of the coordinate system.) O 79.6 sps 80, A S Os 21,0 SQ SA/2 O 39.6 sps 40, A S Os 20, OS Q S 0/2 O 39.6 < p < 40,0 5 Os 21,0 OSN 0.4 sps 40,0 SOSA, OS Q S N/2 79.6 < p < 80,0 Os 21, 0 SQ SA
The integers in the set S:{-79, 80, 39, 40) that will make the inequality 1/0.4(m - 0.4) ≤ 1/21(m - 39) false are: S:{39, 40}.
Determine the integers
In order to determine which integers are true and false with respect to a solution of the given inequality, we would have to test the given integers by substituting their values into the inequality as follows;
For integers (-80, 79), we have:
1/0.4(m - 0.4) ≤ 1/21(m - 39)
1/0.4(-80 - 39) ≤ 1/21(-40 - 39)
1/3(-39) ≤ 1/6(-40)
-39.6 ≤p< -40 (True).
For integers (-80, 79), we have:
1/0.4(m - 80) ≤ 1/21(m - 39)
1/3(24 - 3) ≤ 1/21(24 - 12)
1/3(27) ≤ 1/6(36)
79.6 ≤ p < 80 (False).
For integers (-40, -39), we have:
1/3(27) ≤ 1/6(36)
1/3(24 - 3) ≤ 1/21(24 - 12)
1/0.4(-80 - 39) ≤ 1/21(-40 - 39)
-39.6 ≤ -40 (True).
For integers (-80, 79), we have:
1/3(m - 3) ≤ 1/6(m - 12)
1/3(12 - 3) ≤ 1/6(12 - 12)
1/3(9) ≤ 1/6(0)
3 ≤ 0 (False).
For integers (12, 24), we have:
1/3(m - 3) ≤ 1/6(m - 12)
1/3(12 - 3) ≤ 1/6(12 - 12)
1/3(9) ≤ 1/6(0)
3 ≤ 0 (False).
1/3(m - 3) ≤ 1/6(m - 12)
1/3(24 - 3) ≤ 1/6(24 - 12)
1/0.4(-80 - 39) ≤ 1/21(-40 - 39))
79.6 ≤ p < 80 (False)
1/0.4(m - 0.4) ≤ 1/21(m - 39) false are: S:{39, 40}.
To learn more about Integers visit:
brainly.com/question/15276410
#SPJ4
A marketing student is estimating the average amount of money that students at a large university spent on sporting events last year. He asks a random sample of 50 students at one of the university football games how much they spent on sporting events last year. Using this data he computes a 90% confidence interval, which turns out to be ($217, $677).
Which one of the following conclusions is valid?
A. We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.
B. 90% of the sample said they spent between $217 and $677 at sporting events last year.
C. No conclusion can be drawn.
*We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677. - Incorrect. The student's sample is not representative of all the students at the university (it is not a random sample of all university students). He surveyed people at a football game, which might mean that they tend to spend more money on sporting events than other students.
The valid conclusion is A. We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.
The confidence interval used by the student researcher refers to the probability that the university's population parameter (average amount that students spent on sporting events last year) will fall between $217 and $677 for 90% of the time.
Thus, the interval measurement gives the researcher some degree of certainty that the calculated sample mean falls within the population mean most of the time.
Hence ,we can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677.
Learn more about confidence interval at:
brainly.com/question/17212516
#SPJ4
use the sketch below to decide if congruence can be proved, and if so, which method would prove the congruence.
Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.
The convergence method which proves this congruence is SSS(side-side-side) congruence.
We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF
Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,
so, AB ≅ FG
Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,
so, AC ≅ FH
To find the lengths of BC and GH , we can use distance formula.
Length of BC :
BC = √[(x₂ - x₁)² + (y₂ - y₁)²]
(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).
BC = √[(-4 + 7)² + (5 - 0)²]
= √[32 + 52]
= √[9 + 25]
= √34
Length of GH :
GH = √[(x₂ - x₁)² + (y₂ - y₁)²]
(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).
GH = √[(6 - 1)² + (5 - 2)²]
= √[52 + 32]
= √[25 + 9]
= √34
Conclusion :because BC = √34 and GH = √34,
=>BC ≅ GH
All the three sides of one triangle is congruent to the corresponding sides of other triangle.
By SSS congruence postulate,
ΔABC ≅ ΔFGH
To learn more about SSS (Side-Side- Side ) Congruence postulate , refer:
https://brainly.com/question/24079210
#SPJ4
which graph represents the equation x2 8y
Therefore by making a line through following points we can make graph which is parabola in shape
What is equation ?Two things are equal, according to an equation. Like this: 9 + 2 = 11 . It will have an equivalent sign "=". According to that equation, "this equals that" is expressed as "what is on the left (9 + 2) is equal to what is on the right (11).
Here,
Given Equation : x² = 8y
Given Equation agrees with conventional equation of parabola on positive y-axis
x² = 4ay
Comparison of the two equations yields,
4a = 8 ⇒ a = 2
Focus of parabola = ( 0 , 2 ) ( 0 , 2 )
Parabola vertex equals ( 0 , 0 )
Axis of Symmetry = y-axis
To sketch its, we find some points
with x = 4 or -4 we get
4² = 8y ⇒ 16 = 8y ⇒ y = 2
So, points are ( 4 , 2 ) and ( -4 , 2 ) ( -4 , 2 )
we obtain when x = 8 or -8.
(-8)² = 8y ⇒ 64 = 8y ⇒ y = 8
So, points are ( 8 , 8 ) and ( -8 , 8 ) ( -8 , 8 )
Therefore by making a line through following points we can make graph which is parabola in shape
To know more about equation , visit
https://brainly.com/question/10413253
#SPJ4
The correct question is :-
Which graph represents the equation x2 = 8y?
Can someone help me with this
Answer:
Step-by-step explanation:
answer is a
write the sum as the logarithm of a single expression. assume that variables represent positive numbers.
The sum can be written in logarithms as 6z log 6
What is logarithm ?
The word "logarithm" comes from the combination of the Greek words "logos," which means "principle or concept," and "arithmos," which means "number." A logarithm is the power that must be increased to obtain a given number. It is shown by a number's log.
Use of property
log (ab) = log a + log b
log a^b = b log a
Given that,
log 6^8 + log 6^z
=log 6^8 + log 6^z
=log (6^8*6^z)
=log (6^6z)
=6z log 6
Therefore, the sum can be written in logarithms as 6z log 6
To learn more about logarithms click here:
brainly.com/question/28346542
#SPJ4
On July 1, 2021, purchased $11,000 of IBM Corporation bonds at face value. The bonds pay interest twice a year on January 1 and July 1. The annual interest rate is 10%.
the interest will be $1000 IBM corporation bank.
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
So simple interest will be = 10000*10*1 /100 = $1000
Hence, the interest will be $1000 IBM corporation bank.
Learn more about simple interest, by the following link
brainly.com/question/20690803
#SPJ1
If h(x)=11, what must be the value of x?
For the given expression the value of x must be 11.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
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 expression is h(x) = 11. The value of x will be calculated as,
h(x)=11
h(x) = x
Compare the above equations and find the value of x,
x = 11
Therefore, for the given expression the value of x must be 11.
To know more about an expression follow
https://brainly.com/question/17032627
#SPJ1
. do you need to use sd to estimate the sd of the population? no, we're given the sd of the population, we don't need to estimate it. yes, because with only 20 observations the sample sd is not a great estimate of the true population sd.
The measure of the spread of scores within a set of data is termed as standard deviation. Usually, we are interested in the standard deviation of a population. since, we are often presented with data from a sample only, we can estimate the population standard deviation from a sample standard deviation.
When to use the sample or population standard deviation ?
Population standard deviation is of great intrest because our population contains all the values we are interested in. Therefore, we would normally calculate the population standard deviation In two cases first when we have the entire population or second we have a sample of a larger population, but we are only interested in this sample and do not wish to generalize our findings to the population. but, in statistics, a sample is presented from which we wish to estimate (generalize to) a population, and the standard deviation is no exception to this.
Thus it can be concluded that, if we have all is a sample, but we wish to make a statement about the population standard deviation from which the sample is drawn, we need to use the sample standard deviation. There a Confusion can often arise as to which standard deviation to use due to the name "sample" standard deviation incorrectly being interpreted and not the estimate of the population standard deviation based on the sample.
Learn more about Standard deviation at:
https://brainly.com/question/475676
#SPJ4
what is the opposite of the interger on the number line
Opposite of an integer on the number line is the same integer with opposite sign
what is number line ?
The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.
The number line's opposite of the integer "a" is "-a"; hence, the opposite of the integer "-a" is "a" on the number line, but on the other side of 0.
For example,
The number line's opposite of the integer "4" is "-4"
To learn more about the number line from the given link
https://brainly.com/question/24644930
#SPJ1
mitten crabs are an invasive species in north america. A costal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year
The population will reach an estimated 1,620 crabs in ____ years?
HELP !
The Manchester novelty shop borrowed $205,000 from the bank to pay for new merchandise. The bank lent the money at 6 percent ordinary interest for 45 days. Find the interest owned and the maturity value of the loan.
The interest owned and the maturity value of the loan is $217,300.
What is meant by interest?Simple interest is calculated using the following formula. PRT/100 is the formula for simple interest (SI). In this case, the principal amount is P, the interest rate is R, and the interest period is T. The total sum that must be paid consists of the principal amount plus basic interest, or P + SI.
The interest rate for the loan is denoted by this proportion. When you deposit money in a high-yield savings account, for instance, a bank will give you interest. Simple interest examples include monthly-amortized auto loans and store installment loans; both have a dipping loan balance with each monthly payment as well as a dipping interest rate.
Principal amount=205,000
Given that the interest is 6%
=205000(6/100)
=12300
The maturity amount of loan is:
=205000+12300
=$217300
To know more about interest, visit:
https://brainly.com/question/25845758
#SPJ1
Can you please help me
Answer:
The answer is b!
Step-by-step explanation:
the answer is A .
the open end of the arrow points to the bigger variable. When the variable is included there will be a line under the arrow
Hi can someone please help me with these!!!
a)The value of ∠b=64°.
b)The values of angles q, r, s, t are ∠q= 65°, ∠r=65°, ∠s=50°, ∠t=65°.
c)The value of ∠B=72 degrees.
What are the theorems of parallel lines?The same-side interior angles are additional if a transversal connects two parallel lines. Alternate interior angles are equivalent if a transversal connects two parallel lines. Corresponding angles are equal.
a) Given line PQ is parallel to ST.
One of the theorems of parallel lines is, Corresponding angles are equal.
Here the corresponding angles are ∠a, ∠b.
so, ∠a=∠b
∴∠b=64°
b) It is given that lines B and C are parallel, according to one of the theorems of parallel lines, vertically opposite angles are equal. So, the angle opposite to 65° is also equal to 65°. Sum of the angles suspended by a line on another line is 180°. Therefore the other angle in the triangle is 180°-130°=50°.
Since the sum of interior angles in a triangle is 180°, the angle q will be:
∠q= 180°-(65°+50°)
∠q= 65°.
Vertically opposite angles are equal, therefore ∠q=∠r=65°.
∠s=180°-(65°+65°)
∠s=50°.
Corresponding angles are equal, therefore
130°=65°+∠t
∠t=65°.
c) Given lines A, and B are parallel. We know that the Corresponding angles are equal, therefore
3m=4m-24
⇒m=24
Therefore ∠B=4(24)-24
∠B=72 degrees.
To learn more about parallel lines properties refer to the link below:
https://brainly.com/question/29549295
#SPJ1
you measure 37 randomly selected textbooks' weights, and find they have a mean weight of 67 ounces. assume the population standard deviation is 12 ounces. based on this, construct a 95% confidence interval for the true population mean textbook weight.
The 95% confidence interval for the true population mean textbook weight is given by 63.133< X< 70.866.
The value of Z for a 95% confidence interval, is 1.960
According to the question, It is given:
Sample size (n) = 37
Mean weight (X) = 67 ounces
Standard deviation (s) = 12 ounces
A 95% confidence interval is described by the relationship:
x±1.960* [tex]8/\sqrt{n}[/tex]
Substituting the values given in the question to find the value of x:
The lower limits and upper limits are:
U= 67+1.960* [tex]12/\sqrt{37}[/tex]
U= 70.866
L=67-1.960* [tex]12/\sqrt{37[/tex]
L=63.133
Thus, the 95% confidence interval for the true textbook mean weight is 63.133< X< 70.866.
To know more about 95% confidence interval, please refer:
https://brainly.com/question/16743489
#SPJ4
Please please help!!!
Answer:
correct answer is option b i think...
Rosemary works two part-time jobs while attending college. During the day she works at the college bookstore and earns $8.25 per hour. In the evening she delivers pizza for Papa Gino's, earning $9.25 per hour. If Rosemary earned $247 last week from working a total of 28 hours, find how many hours she worked at Papa Gino's last week.
Answer:
Rosemary worked 12 hours at the bookstore and 16 hours driving around for pizza delivery.
Step-by-step explanation:
Let x be the number of hours spent working at the bookstore where she makes 8.25 an hour. Her pay from the bookstore is in total, 8.25x.
Likewise, let's let y = the number of hours working at the pizza place. Her total pay there would be 9.25y.
Her all together over all pay would be:
bookstore$ + pizza$
8.25x + 9.25y
= 247
8.25x + 9.25y = 247
here is one equation. It tells us her total pay from both jobs is 247.
Also, her hours totaled 28. So,
x + y = 28
Solve the system of equations:
8.25x + 9.25y = 247
x + y = 28
You could use substitution or elimination. If you are learning matrices or a graphing program you could use that.
Here is the substitution work.
x + y = 28
y = 28 - x
8.25x + 9.25y = 247
substitute. y = 28-x
8.25x+9.25(28-x)=247
use distributive property.
8.25x+259 - 9.25x=247
combine like terms.
259 - x = 247
subtract 247, add x
12 = x
This means that Rosemary worked 12 hours at the bookstore. And since 28 - 12 = 16.
She works 16 hours at the pizza delivery
12 + 16 is 28, the number of hours she worked.
Also, 8.25(12)+9.25(16)
= 99 + 148
= 247
So these number check out.
What is 47 = 2(k+3) +3(k-3) ? This is my missing work from being absent so pleas help me.
Answer: K=10
Step-by-step explanation:
To begin, you should multiply out the terms in front of the parentheses. This results in: 47=2k+6+3k-9
Next, we can combine like terms: 47=5k-3
Add 3 to both sides: 50=5k
Divide both sides by 5: 10=k
k=10
Find the standard matrix of the given linear transformation from R2R2 to R2R2 Projection onto the line y=2xy=2x So basically, I got the standard matrix to be (1200),(1020), my question is: is this actually right? I have been looking online and it appears that maybe I am wrong?
The standard matrix of the linear transformation given in the question is
= 1/ 5 [ 1 2 ]
[ 2 4 ]
The direction vector of the given line is , v = ( 1 ,2 ).
So the projection of the line will be,
projection ( x ,x ) = ( (x , y ) . v / v^2 )v
= ( ( x + 2y)/5 ) v
Therefore, the required standard matrix will be ,
1/5 2/5
2/5 4/5
= 1/ 5 [ 1 2 ]
[ 2 4 ]
A matrix is also known as a rectangular array . The elements are arranged in the form of rows and tables forming a table . Arrays are an important part of both mathematical and computational applications.
The data in a conputer is stored in the form of an array . We can perform various operations on matrix like addition, subtraction , multiplication or division.
To learn more about matrix
brainly.com/question/29132693
#SPJ4
