Answer:
10h=200
h=20
Step-by-step explanation:
10h=200
10h/10=200/10
h=20
Multiply the number of hours worked (h) by earnings per hour $10 to get
10h
This needs to be more than ( Greater than) 200
Now you have 10h > 200
Solve for h by dividing both sides by 10:
h >20
This means she needs to work more than 20 hours this week.
Part 2 - Find the error(s) and solve the problem correctly. Explain your corrections. Solve: 2cos x = 4 cos x sin 2 x Answer: 2cos x = 4 cos x sin 2 x 2cos x = 4 cos x sin ( 2 x 2 cos x in common onboth sides) 1 = sin 2 x The only place sin x = 1 is where the angle is . π 2 x = π
Answer:
l dont know l am not studying it sorry
Answer:
hey what was the answer?
Step-by-step explanation:
I need help im going to failllll!!!!!!
Now write the numbers 1 through 10 using exactly four 4s.
Value
Expression using four 4s
1
I
2
3
4
5
6
7
8
9
10
Step-by-step explanation:
By using exactly four 4s it is possible to write a few numbers: at least from 0 - 30.
=> For example, using exactly four 4s, we can write 1 as follows
1 = 44 / 44
The right hand side of the above equation has exactly four 4s and solving it will give 1.
=>Using exactly four 4s, we can write 2 as follows;
2 = (4/4) + (4/4)
Also, there are exactly four 4s in the right hand side of the above equation and solving it gives 2
=> Using exactly four 4s, we can also write 6 as follows;
6 = 4 x .4 + 4.4
The above equation also contains exactly four 4s which will give 6 when solved. i.e
(4 x .4) + 4.4 = (4 x 0.4) + 4.4 = 6
The expressions for numbers 1 through 10 using exactly four 4s have been tabulated and shown in the image attached to this response.
Carlos needs an average of 90% or greater on his quiz scores to earn an A in science class for the quarter. Each quiz is worth 20 points. The scores of his first four quizzes are shown in the table. There is one more quiz this quarter. Quiz Score 1 2 3 4 18 at least 19 17 20 What is the mininum score Carlos can earn on the final quiz to earn at least a 90% average? points
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
We have,
Let's start by finding the total number of points that Carlos can earn in the class:
Total points
= 5 quizzes x 20 points per quiz
= 100 points
If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.
Total points earned.
= 18 + 19 + 17 + 20
= 74 points
To find the minimum score Carlos needs on the final quiz, we can set up an inequality:
(74 + x) / 5 ≥ 0.9
where x is the score on the final quiz.
Simplifying this inequality.
74 + x ≥ 90
x ≥ 16
Therefore,
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ1
56x7y5, if x+0 and y#.0?
Which expression is equivalent to V
OA. 2x2y7xy2
OB. 8x4/7x472
Oc. 8 x 27 Try2
OD. 2244 297
Answer:
A is the answer.
Step-by-step explanation:
We have
\( \sqrt[3]{56 {x}^{7} {y}^{5} } \)
Factor the radical by taking perfect squares of the real numbers and the exponents.
56 can be made up of perfect 8, x^7 can be made up of x^6 and y^5 can be made up of y^3. So we get
\( \sqrt[3]{8 {x}^{6} {y}^{3} \times \sqrt{7xy {}^{2} } } \)
Take the cube root of 8x^6y^3.
Which is 2x^2y.
\(2 {x}^{2} y \sqrt[3]{7xy {}^{2} } \)
A is the answer.
Factor the expression completely. 9x^2 - 24x^5
3x² (3 - 8x³)
Explanation:
you have to find the GCF first (greatest common factor)
GCF is 3x²and then, divide each term by the GCF
\( {3x}^{2} ( \frac{9x ^{2} }{ {3x}^{2} } + \frac{ - 24 {x}^{5} }{ {3x}^{2} } )\)
now, simplify each of the term in parentheses.
if you do it correctly, you'd get 3x² (3 - 8x³) as the answer.
Answer:
3x^2(3 - 8x^3)
Step-by-step explanation:
9x^2 - 24x^5 = 3x^2 (3 - 8x^3)
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
= 3x^2(3^(1/3) - 2x)(3^(2/3)+ 2*(3^(1/3))x + 4x^2)
Find the coefficient of the given term when the expression is expanded by the binomial theorem.
x7 in (3x + 4)10
Can someone help me out with this problem i need step by step help
Discrete mathematics
The coefficient of \(x^{7}\) is 16796160.
For this, we have to find the coefficient of \(x^{7}\) in \((3x+4)^{10}\)
General Term: This term symbolizes all of the terms in the binomial expansion of (x + y)^n.
The general term in the binomial expansion of (x + y)^n is
T(r+1) = nCr x^(n-r)y^r.
Here the r-value is one less than the number of the term of the binomial expansion. Also, nCr is the coefficient, and the sum of the exponents of the variables x and y is equal to n.
We can use the general term for this.
\(T_{r+1} = (nCr) a^{n-r} x^{r}\)
Since we have to find \(x^{7}\),
\(T_{3+1} = (10C3)(3x)^{7} 4^{3} \\T_{3+1} = [(10C3)3^{7} 4^{3} ]x^{7}\)
This is the coefficients of \(x^{7}\)
Calculating,
10C3 = 120 (using combinations)
\(3^{7} = 2187\\4^{3} = 64\)
Therefore, multiplying the 3,
Coefficients of \(x^{7}\) = 120 * 2187 *64
= 16796160
To learn more about the binomial theorem, visit
brainly.com/question/27813780
#SPJ4
To which substance does ferredoxin transfer an electron? photosystem I photosystem II NADP+ NADPH
Answer:
NADP+
Step-by-step explanation:
Answer:
C. NADP+
Step-by-step explanation:
Which is the same length as 4 kilometers?
Answer:
A. 4000 meters because
1 km = 1000 meters
and 4 km = 1000 × 4 = 4000
............
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
Evaluate the algebraic expression t + s - r when r = 13, s = 10, t = 7 and u = 15.
A. 2
B. 4
C. 16
D. 30
Answer:
4
Step-by-step explanation:
t + s - r
where,
r=13
s=10
t=7
u=15
substituting
7+10-13 =17-13 =4
Hey there!
t + s - r
= 7 + 10 - 13
= 17 - 13
= 4
Therefore, your answer might be:
Option B. 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
the other three finish painting the kitchen.write an equation to represent a way the four grandchildren.could have shared the painting so that your answer is equal to 8/8
Answer:
Step-by-step explanation:
The fraction 8/8 is an improper fraction. A proper fraction is one in which the numerator is less than the denominator.
1/1, 2/2, 3/3, 4/4, 5/5, 6/6, 7/7, 8/8, 9/9, 10/10, 11/11, 12/12, 13/13, 14/14, 15/15 ...
Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the distance Jordan still has to
walk after x hours. What does the y-intercept of the equation represent?
Answer:
If y represents the distance Jordan still has to walk after x hours, then the equation \( y = -2x + 13 \) describes the given equation.
The y-intercept of the equation represents total distance of the trail
Step-by-step explanation:
A linear equation can be written to represent the situation above using the slope-intercept equation form, which is given as \( y = mx + b \)
Where,
m = slope or rate of change = -2 mi/h (the slope is negative, because distance remaining decreases as hours increases)
b = y-intercept = 13 miles (this is the total distance of the trail. x (hours) is zero at this point)
The equation of the given situation, in slope-intercept form would be:
\( y = -2x + 13 \)
A linear equation can be use to describe Jordan's distance because the
rate of change of the distance with time is constant.
First part: The linear equation is; y = 13 - 2·xSecond part: The y-intercept represents the total distance of the trail.Reasons:
From the map in the question, we have;
The distance of the trail Jordan has to hike = 13 miles
The rate at which Jordan will work = 2 mi/hr.
Part One:
Required:
The linear equation that represents the distance Jordan still has to walk
after x hours.
Solution:
Let y represent the distance Jordan still has to walk after x hours
The distance walked per hour = 2 miles
The distance walked after x hours = x × 2 miles = 2·x miles
Total distance = 13 miles
Distance remaining = Total distance - Distance walked
Distance remaining, y = 13 - 2·x
The linear equation that gives the distance Jordan still have to walk after x hours, is therefore;
y = 13 - 2·x
Second part:
The y-intercept is the y-value when x = 0
Therefore;
The y-intercept is; y = 13 - 2 × 0 = 13
Therefore;
The y-intercept represents the distance Jordan has to walk at the start
when the time, x, is 0, which is 13 miles or the the entire distance Jordan
has to walk.
Learn more here:
https://brainly.com/question/16924122
1 On a map of scale 1:100 000, the distance between Tower Bridge
and Hammersmith Bridge is 12.3 cm.
What is the actual distance in km?
To calculate the actual distance in km, we need to use the scale factor of 1:100 000. This means that 1 cm on the map is equivalent to 100 000 cm in real life.
Therefore, 12.3 cm on the map is equivalent to 12.3 x 100 000 cm in real life.
Now, 1 km is equivalent to 100 000 cm.
Therefore, 12.3 x 100 000 cm is equivalent to 1.23 km.
Hence, the actual distance in km is 1.23 km.
3. La compañía telefónica de Roberto le cobra 100 pesos mensuales de cuota y 5 pesos por cada minuto de llamada. Calcular la función que proporciona el coste de la factura mensual de Roberto en función del número de minutos de llamada.
a) ¿Cuál sería el coste de un mes en el que ha realizado 50minutos de llamada?
¿Y si son 150 minutos?
b) Si la factura del mes de junio fue de 200 pesos, ¿cuánto minutos de llamada
realizó Roberto?
The answers to each part are given below.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Roberto's telephone company charges him a monthly fee of 100 pesos and 5 pesos for each minute of calls.
{ 1 } -
We can write the function as -
M{t} = 100 + 5t
{ 2 } -
For {t} = 50 minutes -
M{50} = 100 + 5 x 50
M{50} = 350 .....{ 1 }
For {t} = 150 minutes -
M{150} = 100 + 5 x 150
M{150} = 850 .... { 2 }
{ 3 } -
200 = 100 + 5t
5t = 100
t = 20 .... { 3 }
Therefore, the answers to each part are given above.
To solve more questions on functions, visit the link below-
brainly.com/question/17613163
#SPJ1
{Question in english -
Roberto's telephone company charges him a monthly fee of 100 pesos and 5 pesos for each minute of calls. Calculate the function that provides the cost of Roberto's monthly bill based on the number of call minutes.
a) What would be the cost of a month in which you have made 50 minutes of calls? And if it's 150 minutes?
b) If the bill for the month of June was 200 pesos, how many call minutes
did Roberto?
As shown in the image below, triangle ABC is reflected onto its image.
Which of the following lines represents the line of reflection that maps triangle ABC onto its image?
Oy=0
O y=-2
Ox=0
X = -2
The function f(x)=−3x+2 is defined over the domain −1
The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.
The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.
The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.
Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.
Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.
Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.
Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.
For more such question on function. visit :
https://brainly.com/question/11624077
#SPJ8
Find the equation of the line through the points (-3,-3) and (2,-1) using point-slope form. Then rewrite the
equation in slope-intercept form.
Answer: See below
Step-by-step explanation:
The point-slope equation is y-y₁=m(x-x₁). Since we don't know our slope, we can use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\) to find the slope. All we have to do is use the coordinate we were given and plug it into the formula.
\(m=\frac{-1-(-3)}{2-(-3)} =\frac{2}{5}\)
Now that we have the slope, we can fill out the point-slope equation.
y-(-3)=2/5(x-(-3))
y+6=2/5(x+3)
This is the point-slope form.
Now, we can distribute and solve to get slope-intercept form.
y+6=2/5x+6/5
y=2/5x-24/5
Solve for the variable.
5t - 3 = 3t + 9
F
t = 6
G
t = 9
H
t = 3
J
t = 8
Answer:
F. t = 6
Step-by-step explanation
5t - 3 = 3t + 9
add 3t to both sides
2t - 3 = 9
add 3 to both sides
2t = 12
divide both sides by 2
t = 6
Lela bought 3.3 pounds of nuts they cost $1.79 a pound. How much money did she spend
Answer:
5.907
Step-by-step explanation:
I believe if you multiply 3 times 1.79 you get 5.37 then if you multiply 0.3 times 1.79 you get 0.537. If you combine the 2 you get 5.907. I think this is correct not sure though D:
time that is 1000 times greater than one second
The word kilosecond is used to describe a time unit that is 1000 times greater than one second.
How to define a unit time by using SI units and preffixes
In this problem we find a time unit that combines a standard SI unit and a preffix that describes a scale. In other words, we must look up for a derived unit from a fundamental unit and a preffix.
According to the SI, second is the fundamental unit of time and the Greek preffix kilo- is used to a describe thousand times a given unit. Therefore, the word kilosecond is used to describe a time unit that is 1000 times greater than one second.
To learn more on fundamental units: https://brainly.com/question/24186500
#SPJ1
Find the H.C.F and L.C.M of 65 and 105
Answer:
HCF of 105 and 65 is 5.
LCM of 65 and 105 is 1365.
Answer:
H.C.F = 5
L.C.M = 1365
please give me a brainliest answer
(3, — 2), 3х – бу =5
Answer:1
Step-by-step explanation:
BRAINLIST AND 20 POINTS I REALLY NEED HELP ASAP (10 POINTS FOR EACH QUESTION)
Answer:
7 bottles
$10
Step-by-step explanation:
multiply
1/6×42= 7 bottles
5/9×18= $10
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
I really need help on this,it’s percent units pls help?
To find the percent of wrong answers, follow the steps below.
Step 01: Find the fraction of correct/incorrect answers.
From the 4 portions, 3 represent the correct answers.
If the total of answers is 100%, then each portion represents 25% (1/4).
Then, the correct answer are:
\(\begin{gathered} 3*25\% \\ 75\% \end{gathered}\)
Let A be a 5 by 7 , B be a 7 by 6 and C be a 6 by 5 matrix. How to determine the size of the following matrices ? O AB, BA, O A^TB, BC, O ABC , CA ,O B^TA , BC^T
The matrices matrix A be a 5 by 7 , matrix B be a 7 by 6 and matrix C be a 6 by 5 matrix.
now, we need to determine the size of the matrices
AB = \((AB)_{5*6}\)
BA is undefined
\(A^{T}\)B is undefined
BC = \((BC)_{7*5}\)
ABC = \((ABC)_{5*5}\)
CA = \((CA)_{6*7}\)
\(B^{T}\)A is undefined.
B\(C^{T}\) is undefined.
given that
matrix A is \(A_{5*7}\)
matrix B is \(B_{7*6}\)
matrix C is \(C_{6*5}\)
now, we need to determine the size of the matrices
AB multiplication of two matrices
multiplication of two matrices is possible only when B has the same number of columns as rows in A,
\(A_{m*n}\)and \(B_{n*p}\)
If it is defined as above, then the matrix AB will have m rows and p columns, i.e., A must have n columns and B must have n rows in order for AB to be defined.
\((AB)_{m*n}\)
In addition, a matrix gets transposed when columns turn into rows and vice versa.
Thus, if
\(A_{m*n}\)⇒\((AT)_{m*n}\)
So, for this particular question, we have: \(A_{5*7}\), \(B_{7*6}\) , \(C_{6*5}\)
According to the aforementioned idea, AB is therefore \((AB)_{5*6}\) in size.
Additionally, BA and \(A^{T}\)B are not defined.
\((BC)_{7*5}\)
ABC=(AB)C=A(BC) because matrix multiplication is associative,
\((ABC)_{5*5}\)
\((CA)_{6*7}\)
\(B^{T}\)A is undefined. because they don't have same number of columns in matrix B and rows in matrix A
B\(C^{T}\) is undefined. because they don't have same number of columns in matrix B and rows in matrix C
To learn more about matrices:
https://brainly.com/question/13595132
#SPJ4
Evaluate the following expression when x= -5, y=4, and t= 7.
|x| + 2t - 5y
Answer: -5 + 14 - 20 = -11
Answer:
-1
Step-by-step explanation:
x = -5, y = 4, and t = 7
|-5| + 2(7) - 5(4) =
|-5| + 14 - 20
|-5| = 5 absolute rule
5 + 14 - 20 =
-1
Assume that Lines L and M are parallel. Find a pair of acute, corresponding angles.
Select all that apply.
A. q and w
B. r and y
C. x and s
D. q and y
E. s and y
F. r and x
G. t and w
H. t and z
Answer:
Choice E and F
Step-by-step explanation:
acute = less than 90
A certain two-digit number has a value that is seven more than six times the sum of its digits. The tens digit is 3 more than the units digit. Find the number.
Answer:
Step-by-step explanation:
Let the two-digit number be represented as $10a+b$, where $a$ is the tens digit and $b$ is the units digit. From the problem statement, we have:
$10a+b = 6(a+b)+7$ ....(1)
Also, we know that the tens digit is 3 more than the units digit, so we have:
$a = b+3$ ....(2)
Substituting (2) into (1), we get:
$10(b+3)+b = 6((b+3)+b)+7$
Simplifying the above equation, we get:
$11b+33 = 13b+25$
Subtracting $11b$ from both sides, we get:
$2b+33 = 25$
Subtracting 33 from both sides, we get:
$2b = -8$
Dividing both sides by 2, we get:
$b = -4$
Since $b$ represents a digit, we see that $b$ must be 6 (and not -4), since it is the only digit that satisfies the condition that the tens digit is 3 more than the units digit. Substituting $b=6$ into (2), we get:
$a = b+3 = 6+3 = 9$
Therefore, the two-digit number is $10a+b = 10(9)+6 = \boxed{96}$.
Find the value of x for which m||n
Answer:
x = 61
Step-by-step explanation:
Alternate exterior angles must be congruent for the lines to be parallel.
3x - 43 = 2x + 18
x = 61