Answer:
6
Step-by-step explanation:
6^0 is 1
6^5/6^4 is still 6 so
1*6=6
Answer:
6
Step-by-step explanation:
I did at the time now :)
what is the difference of twice a number and 3 is 11
Answer:
2x - 3 = 11
x = -21
Step-by-step explanation:
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
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You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
Since the role of young Cosette is played by a child, the Main Street Theatre company must actually cast 3 girls in the role of young Cosette, and alternate girls from night to night. (This is because of restrictions on working hours for children.) You have received headshots and resumes from 25 girls who wish to audition for young Cosette.
When casting the first young Cosette, the casting director has _[blank 1]_ girls to choose from. When casting the second young Cosette, she has _[blank 2]_ girls to choose from, and when casting the third young Cosette, she has _[blank 3]_ girls to choose from.
Match each numbered blank to the answer that correctly satisfies the corresponding blank in the previous sentences.
The required blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.
Theatre company must cast 3 girls.
And has 25 resumes girls who wish audition.
permutation can be defined as study of combinations.
In the question we are asked to calculate the number of girls left after the director chooses.
At first director chooses 3 from 25.
At second director chooses 3 from 22.
At third director chooses 3 from 19.
Thus, the required blank 1, blank 2 and blank 3 would be filled with 25 girls, 22 girls, 19 girls respectively.
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13
Use the drawing tools to form the correct answer on the graph.
Graph the composite function (f(x)).
f(x) = -2x- 5
g(x) =x - 1
Drawing Tools
Select
Point
Click on
The graph of the composition of functions is on the image at the end.
How to graph the composite function?Here we want to graph the composition of the functions g(x) and f(x), where:
f(x) = -2x - 5
g(x) = x - 1
The composition:
g(f(x)) will give:
g(f(x)) = f(x) - 1 = -2x - 5 - 1 = -2x - 6
So it is just a linear function, basically it is a translation of 1 unit down of f(X), the graph of this composition is on the image at the end.
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Pls Help! Actually give a legit answer (NO LINKS!)
Answer:
unfortunately i cannot tell you the exact answers; however, i can suggest something instead. my suggestion is that if there's any math notes that are available, maybe you could look over them-then apply that to the problems.
Step-by-step explanation:
I hope this helps you!
Please help these are two different questions !
Answer:
120 Girls
Step-by-step explanation:
First, you have to combine the dark shade girls and the light shade girls together to get 7.
Then, you should divide 210 by 7, to get 30
Finally, using 30 as your multiplier,
you go and multiply 30 x 4 to get 120 girls :D
Smallest successive composites with gap
17, 73, 2, 19
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
a rectangular bulleting board is 1 1/5 meters wide and 2 meters long. What is the area of the bulleting board?
Answer:
2 2/5
Step-by-step explanation:
1 1/5*2=2 2/5
Please help it’s due today!!!!
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
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Write a unit rate for the situation
$45.00 for 9 pounds
$24 for 3 pound
$390 for 6 pounds
$42 for 21 pounds
$180 for 10 pounds
$864 for 8
The unit rate for each situation is $5.00 for 1 pound, $8 for 1 pound, $65 for 1 pound, $2 for 1 pound, $18 for 1 pound, $108 for 1 pound
What is unit rate and how to compute it?
Unit rate is the rate for 1 unit and to compute the unit rate we divide the total price by the total number of elements
We are given certain price we have to find there unit rate
a) $45 for 9 pound
Divide both sides by 9 to find the unit rate
we get $5 for 1 pound
a) $24 for 3 pound
Divide both sides by 3 to find the unit rate
we get $8 for 1 pound
a) $390 for 6 pound
Divide both sides by 6 to find the unit rate
we get $65 for 1 pound
a) $42 for 21 pound
Divide both sides by 21 to find the unit rate
we get $2 for 1 pound
a) $180 for 10 pound
Divide both sides by 10 to find the unit rate
we get $18 for 1 pound
a) $864 for 8 pound
Divide both sides by 8 to find the unit rate
we get $108 for 1 pound
Hence the unit rates are for each situation is $5.00 for 1 pound, $8 for 1 pound, $65 for 1 pound, $2 for 1 pound, $18 for 1 pound, $108 for 1 pound
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In a random sample of 1500 Arts majors who are graduating from the University of Western Cape this summer (2021), we observe that 1380 have already found a job.
What is the proportion of students that have already NOT found a job (rounded off to two decimals)? [3]
The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.
To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.
The total number of students who have not found a job would be 1500 - 1380 = 120.
To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:
The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.
Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.
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Give the equation of the transformed quadratic toolkit function shown below.()=−(+1)2+2()=−(−1)2+2()=−(+1)2+2()=(−1)2−2
The Solution:
Given:
Required:
Determine the function of the given graph.
The required equation is:
\(y=-\left(x-1\right)^{2}+2\)Answer:
[option 2]
What is the slope-intercept equation for the line below? (4, 3); (0, 1) A . y = - 2x + 1 B . y = - 1/2 * x + 1 . y - 1/2 * x + 1 D. y = 2x + 1
y = 1/2x + 1 is the line's equation in slope-intercept form.
Slope-intercept form of a lineThe equation of a line in slope intercept form is expressed as y = mx + b where:
m is the slope
b is the y-intercept
Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:
Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2
For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)
Determine the required equation
y = mx + b
y = 1/2x + 1
Hence the equation of the line in slope-intercept form is y = 1/2x +1
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x2+10x+=()2
step by step
The value of the expression x² + 10x, when x = 2 is 24.
In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:
x² + 10x = 2² + 10(2)
Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.
10(2) means 10 multiplied by 2, which is 20.
So we can substitute these values in the expression:
x² + 10x = 2² + 10(2)
= 4 + 20
= 24
Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.
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The complete question:
Evaluate the expression x² + 10x, when x = 2.
Please help me with this question.
The constants A and B for the differential equation are given as follows:
A = 0.B = -64.How to obtain the constants A and B?The solutions to the differential equation are given as follows:
y(t) = e^(8t).y(t) = e^(-8t).This means that the roots of the characteristic equation are given as follows:
r = -8 and r = 8.
Considering that the leading coefficient is of 1, as 1 multiplies y'', the characteristic equation is given as follows:
(r + 8)(r - 8) = r² - 64.
Hence the differential equation is given as follows:
y'' - 64y = 0.
Hence the constants are given as follows:
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Mrs Rodriguez buys 10 boxes of colored pencils and 25 boxes of plain pencils
Mrs. Rodriguez purchased 10 boxes of colored pencils and 25 boxes of plain pencils, for a total of 35 boxes of pencils costing a total of $50.
Mrs. Rodriguez purchased 10 boxes of colored pencils and 25 boxes of plain pencils. This can be expressed as an equation: 10 boxes of colored pencils + 25 boxes of plain pencils = 35 boxes of pencils. This is because there are 35 boxes of pencils in total. Each box of colored pencils is counted as one unit, and each box of plain pencils is counted as one unit, so the total number of boxes purchased is 35.The cost of the purchase can be calculated by multiplying the number of boxes of each type of pencils purchased by the cost per box. For example, if each box of colored pencils costs $2 and each box of plain pencils costs $1, the total cost of the purchase is 10 x $2 + 25 x $1 = $50.In summary, Mrs. Rodriguez purchased 10 boxes of colored pencils and 25 boxes of plain pencils, for a total of 35 boxes of pencils costing a total of $50.
Question:
Mrs Rodriguez buys 10 boxes of colored pencils and 25 boxes of plain pencils.How many boxes of pencils does Mrs Rodriguez buy in total? or How much does Mrs Rodriguez need to pay for 10 boxes of colored pencils and 25 boxes of plain pencils?
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Can someone please help, ty!!
Will mark brainliest!
Answer:
34
Step-by-step explanation:
The sum of the angles of a triangle is 180
26x+6 + 21x-1 +11x+1 = 180
Combine like terms
58x +6 = 180
Subtract 6 from each side
58x = 180-6
58x = 174
Divide by 58
58x/58 =174/58
x=3
We want <C
<C = 11x+1 = 11*3+1 = 33+1 = 34
The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation and a particular solution yp(x) of the given non-homogeneous equation.
y'' − 5y' + 4y = x; y1 = ex
Find yp(x).
Answer:
The particular integral of given differential equation
\(y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))\)
General solution of given differential equation
\(y = y_{c} + y_{p}\)
\(Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))\)
Step-by-step explanation:
Step(i):-
Given Differential equation y'' − 5 y' + 4 y = x
Given equation in operator form
D²y - 5 Dy + 4 y = x
⇒ ( D² - 5 D + 4 ) y =x
⇒ f(D) y = Q
where f(D) = D² - 5 D + 4 and Q(x) = x
The auxiliary equation f(m) =0
m²-5 m + 4 =0
m² - 4 m - m + 4 =0
m ( m -4 ) -1 ( m-4) =0
(m - 1) =0 and ( m-4) =0
m = 1 and m =4
The complementary function
\(Y_{c} = C_{1} e^{x} + C_{2} e^{4x}\)
Step(ii):-
particular integral
Particular integral
\(y_{p} = \frac{1}{f(D)} Q(x) = \frac{1}{D^{2} - 5 D + 4} X\)
taking common '4'
\(= \frac{1}{4(1 + (\frac{D^{2} - 5 D}{4} ))} X\)
\(=\frac{1}{4} (1 + (\frac{D^{2} -5D}{4})^{-1} )} X\)
applying binomial expression
( 1 + x )⁻¹ = 1 - x + x² - x³ +.....
\(=\frac{1}{4} (1 - (\frac{D^{2} -5D}{4}) +((\frac{D^{2} -5D}{4})^{2} -...} )X\)
Now simplifying and we will use notation D = \(\frac{dy}{dx}\)
\(=\frac{1}{4} (x - (\frac{D^{2} -5D}{4})x +((\frac{D^{2} -5D}{4})^{2}(x) -...}\)
Higher degree terms are neglected
\(=\frac{1}{4} (x - (\frac{ -5 D}{4}) x)\)
The particular integral of given differential equation
\(y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))\)
Final answer:-
General solution of given differential equation
\(y = y_{c} + y_{p}\)
\(Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))\)
What is a general rule for simplifying expressions like x^a .x^b? where does this rule
comes from
The area model shows 2 1 4
What is 2 x 2 1/4?
2 1/2
2 3/4
4 1/4
4 1/2
Answer:
4 1/2
Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2
Determine whether the equation is always, sometimes, or never true.
9. 6(x + 1) = 2(5 + 3x)
10. 3(y + 3) + 5y = 4(2y + 1) + 5
Show Work
9514 1404 393
Answer:
9. never
10. always
Step-by-step explanation:
First steps are always removal of parentheses and collecting terms.
The there are identical expressions on either side of the equal sign, the equation is always true.
If the variable coefficients are the same, but the constants are different, the equation is never true.
If the variable coefficients are different, the equation is sometimes true. (true for a specific value of the variable).
__
9. 6(x +1) = 2(5 +3x) . . . given
6x +6 = 10 +6x . . . Never true
__
10. 3(y +3) +5y = 4(2y +1) +5 . . . given
3y +9 +5y = 8y +4 + 5 . . . eliminate parentheses
8y +9 = 8y +9 . . . Always true
Study circle C, where diameter TV bisects chord EF.
The diagram as described in the text.
If m∠EKT=(5x + 65)∘, what is the value of x?
Enter the correct value.
The answer to the question and value is 5
Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD under a dilation with a scale
factor of 3. What is the length of segment BC?
By using the concept of dilation factor, length of BC obtained is 3 units
What is dilation factor?
Dilation is a transformation which changes the size of a figure by a certain factor.
That factor is called the scale factor
In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3
A'B'C'D' is the dilated figure
Length of B'C' = 9 units
Length of BC = \(9 \div 3\) = 3 units
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Complete Question
The figure has been attached here
9
10
11
12
13
14
15
16
17
18
19
data
[Graphs generated by this script: setBorder(15); initPicture(9,19,-3,4);axes(1,100,1,null,null,1,'off');text([14,-3],"data");line([9,2],[9,4]); rect([11,2],[18,4]); line([15,2],[15,4]);line([19,2],[19,4]); line([9,3],[11,3]); line([18,3],[19,3]);]
Based on the boxplot above, identify the 5 number summary
,
,
,
,
The 5 number summary are
Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19
How to identify the 5 number summary?The complete question is in the attached image
The 5 number summary of box plot are:
MinimumLower quartileMedianUpper quartileMaximumEach of these summaries are represented by the vertical lines of the box plot
From the attached box plot, we have:
Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19
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please help anyone i really need it
Answer:
Median: 21
Eric took the longest
Ed took 18 minutes longer than Mike
Oscar took the shortest amount of time to solve the puzzle
Step-by-step explanation:
The median is the middle amount of the numbers, line them up from smallest to largest and find the number in the middle...the largest number is the person who took the longest...subtract Ed's score (25) from Mike's score (4) to get the answer...and the smallest number is the person who took the shortest amount of time
(6 + 4)^2 + (11+ 10/2) Simplifyyyyy
Answer:
116
Step-by-step explanation:
we do pemdas so start with parenthesis
6+4=10
10 squared =100
then we divide before adding so
10/2 = 5+11= 16
100+16= 116
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Amanda cut a wire into 4 equal pieces the wire was not originally 7.92meters long how long is each piece?
Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
The group thought there was enough food for all 5 group members to complete the trip, with each person getting the required 5600 calories per day. However, they discover that they are missing 28,000 calories. Using the map, create a plan for the rest of the trip that includes taking as many group members as possible to the South Pole, while sending the rest of the group members directly back to base camp. Remember that each person must have 5,600 calories of food per day until he or she gets back to base camp.
Be sure to explain how you came up with your plan. Include all work necessary to support your answer.
Please answer as soon as possible due in an hour. Thank you.
The plan would be to send 2 group members back to base camp with enough food to sustain them for 5 days, while the remaining 3 members continue to receive 5,600 calories per day from the remaining food supply to complete the journey to the South Pole.
To create a plan for the rest of the trip, we need to consider the total number of days it will take for the group to return to base camp from their current location, and the number of group members who can be taken to the South Pole given the remaining food supply.
Given that the group is missing 28,000 calories, we can calculate the number of days of food that are missing by dividing 28,000 by the daily requirement of 5,600 calories per person. This gives us 5 days of missing food. Therefore, the group has enough food for 5 people to continue to receive 5,600 calories per day for 5 days, but not for all 5 members to continue for the entire trip.
To maximize the number of group members who can continue to the South Pole, we can send two members back to base camp immediately with enough food to sustain them for 5 days (2 people x 5 days x 5,600 calories/day = 56,000 calories). This will leave us with 3 group members who can continue to receive 5,600 calories per day for the remaining journey.
Assuming the trip back to base camp takes the same amount of time as the trip to the current location, we can estimate that the total trip duration will be around 20 days. Therefore, the remaining 3 group members will need a total of 20 days x 3 people x 5,600 calories per day = 336,000 calories.
Given the remaining food supply of 28,000 calories, we have a total of 364,000 calories available (28,000 missing calories + 336,000 required calories). Therefore, the 3 remaining group members can continue to receive their required daily calorie intake and complete the journey to the South Pole.
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