Answer:
$83.44=======================
GivenFunction c(d):
c(d) = 0.24d + 34Find the value of c(d) when d = 206:
c(206) = 0.24*206 + 34 = 49.44 + 34 = 83.44Answer:
Cost = $83.44
Step-by-step explanation:
The given equation is,
→ c(d) = 0.24d + 34
Now the required cost will be,
→ c(d) = 0.24d + 34
→ c(206) = 0.24(206) + 34
→ c(206) = 49.44 + 34
→ c(206) = $83.44
Hence, the cost is $83.44.
Makayla is organizing textbooks on her bookshelf. She has a Spanish textbook, a math textbook, a physics textbook, and a writing textbook. How many different ways can she line the textbooks up on her bookshelf?
The number of different possible ways Makayla can line the textbooks up on her bookshelf would be= 24
What is polynomials?This is defined as the multiplication of a figure down to the figure one and is often represented as n!.
The different types of text books that are being arranged at the bookshelf;
a Spanish textbook,
a math textbook,
a physics textbook, and
a writing textbook.
This is a total of 4. Therefore, the number of different possible ways they can be arranged; 4!= 4×3×2×1 = 24 ways.
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Jonas is a runner. He ran m miles last week. His goal this week was to run one mile more than twice the miles he ran last week. If he tripled his goal, write an expression in simplest form to show how many more miles he ran this week compared to last.
Expression for the miles jonas ran this week is 6m + 3 where m is the miles ran in the last week.
Given that jonas ran 'm' miles in last week.
acc. to statement he run one mile more than twice the miles he ran last week, so the equation will now become:
2m + 1 = miles in this week.
Again if he tripled his goal then the equation would become :
3(2m + 1 ) = new goal
6m + 3 = new goal
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Savio leaves his home at 07 30 to drive to work.
He drives a distance of 50 miles.
Savio thinks he drives at an average speed of 40 miles per hour,
(a) If Savio is correct, at what time will he arrive at work?
A6-Sequences and Series
Q1. Below are the first few terms of some important mathematical sequences. State the 7th term
of each sequence:
a) 2, 4, 6, 8, .......
b) 1, 4, 9, 16, ....
c) 1, 8, 27, 64, ....
d) 2, 3, 5, 7, 11, ....
7th term is.
7th term
7th term is .............. (1)
7th term is ........…….…….. (1)
(Total 4 marks)
Answer:
Step-by-step explanation:
7th term of the first sequence is 14
first we need to find out the nth term so,
tn=Ti+(n-1)d
2(n-1)2
2+2n-2
2n+2-2
2n+0
Now we need to find out the 7th term
n=7
2(7)-0
14-0=0
Second sequences 7th term is 33
first we need to find the nth term
1(n-1)3
1+3n-3
3n+1-3
3n-2
so now we need to find 7th term
3(7)-2
35-3
33
the 4th sequence 7th term is 20
3.26666 in fraction form
Answer:
3 13333/50000
Step-by-step explanation:
Answer:
The fraction can be 3(26666)/(100000)
Step-by-step explanation:
how do i solve this? I need proper assistance
Answer:
25
Step-by-step explanation:
(33 + 2z)^2 when z = -19
substitute in -19 in place of z:
(33 + 2(-19))^2
(33 + (-38))^2
(33 -38)^2
(-5)^2
= 25
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Based on the compound interest, Erica owes a total of $10865 after 5 years
How to determine the amount Erica needs to pay?The given variables can be represented as:
Loan amount P = $5300Rate of interest, R = 8%Time to pay back the loan, t = 6 yearsThe compound interest formula is given as
A = P(1 + r/n)^nt
Also from the question, we have
n = 12
This is so because the loan is compounded 12 times in a year as a result of being compounded monthly
Solving further, we replace the variables with their values in the above equation
A = 5300 * (1 + (8%/12))^(6*12)
Evaluate the expression
A = 10865
Hence, the amount owed is $10865
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-2(v + 1) + 5v = 3(v + 1) - 2
Answer: no solution
Step-by-step explanation:
distributing we have
(-2v-2) + 5v = (3v+3)-2
which will be equal to
3v -2 = 3v + 1
subtracting 3v we have
-2 = 1 which is false so no solution
Find the equation of the line specified. the line passes through the points ( 2, 1) and ( 5, 4) a. y = x 1 c. y = x - 1 b. y = -x - 1 d. y = x 3
Answer: y=x-1
Step-by-step explanation:
to solve for the slope you do
4-1=3
5-2=3
3/3= 1x=x
to solve for the y-intercept you do
1=1(2)
1-2=-1
richard owns 600 red marbles and ? number of blue marbles. after he gave away 3/5 of the red marbles and 2/3 of the blue marbles, he now has an equal number of red and blue marbles. find how many more blue marbles than red marbles he had originally.
he has 90 more then he originally had
Step-by-step explanation:
800 kenyan shillings to U.S. Dollars
(Money conversion)
Answer:
hope this helps
Step-by-step explanation:
800 Kenyan Shilling equals
6,57 United States Dollar
23 Nov, 02:01 UTC · Disclaimer
800
Kenyan Shilling
Kenyan Shilling
6.57
United States Dollar
United States Dollar
Answer:
800 Kenyan shillings = 6.57 U.S. Dollars.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 15 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Quetion
Enrique plan to ell hi car and place a 6-line ad. Hi paper charge $42 for the firt two line and$6. 75 per extra line, to run the ad for one week. What will Enrique' ad cot to run for three week?
The cost of running the ad for three weeks by Enrique will be $207.
To estimate the overall cost for three weeks, we need the amount for one week. Further, we need the cost for six lines advertisement. So, performing calculation for the cost of advertisement of six lines in one week.
Total cost in one week = charge for first two lines + number of additional lines × cost of each additional line
Keep the values in formula. Out of six lines, the additional will be 4 as (6-2=4).
Total cost in one week = 42 + 4×6.75
Performing multiplication
Total cost in one week = 42 + 27
Performing addition
Total cost in one week = $69
Cost for three weeks = 69×3
Performing multiplication
Cost for three weeks = $207
Thus, Enrique will pay $207 for three weeks.
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A park is in the shape of a rectangle and measures 40 m by 30 m. How much longer is it to walk from A to B along the diagonal of the park than to walk along the edges of the park?
20 m longer it is to walk from A to B along the diagonal of the walk than to walk along the edges of the park.
Given:
Assume ABCD is a rectangular park of right triangles ABC of length = 40m, width = 30m, ∠C = 90
In the right-angled triangle ABC,
By Pythagoras' theorem,
AB² = AC² + BC²
AB² = 30² + 40²
AB² = 900 + 1600
AB² = 2500
AB² = [tex]\sqrt{2500}[/tex]
AB = 50m
The distance from A to B along the diagonal of the park = 50m
The distance from A through to C = 30m.
The distance from A through C to B = 30 + 40 = 70m.
Therefore, 20 m longer it is to walk from the diagonal of the park to walk along the edges of the park.
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Two cars leave at the same time but travel at different speeds. car a travels 20 miles per hour faster than car b. in the time it takes car a to travel 350 miles, car b travels 250 miles. find the speed of car a.
Two cars leave at the same time but travel at different speeds. Car a travels 20 miles per hour faster than car b. In the time it takes car a to travel 350 miles, car b travels 250 miles.
The number of hours needed for Car B to overtake Car A is greater then 5 hours, Car A = 60km/h; Car B= 75km/h.
After h hours, the number of kilometers covered by Car A is 60*h
After h hours, the number of kilometers covered by Car B is 75(h-1)… since Car B started one hour later.
For Car B to overtake Car A,
75(h-1) > 60h
75h- 75 > 60h
75h - 60h > 75
15h > 75
h > 75/15
h > 5 hours
Hence the answer is, the number of hours needed for Car B to overtake Car A is greater then 5 hours, Car A = 60km/h; Car B= 75km/h.
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through: (-4, 3), perp. to y = -2x+5
Answer:
y = [tex]\frac{1}{2}[/tex] x + 5
Step-by-step explanation:
Perp means perpendicular?
Perpendicular slopes are the opposite reciprocals of each other. So the slope would be [tex]\frac{1}{2}[/tex]
Use -4 for x and 3 for y and the slope of [tex]\frac{1}{2}[/tex] to find the y intercept
y=mx +b
3 = [tex]\frac{1}{2}[/tex](-4) + b
3 = -2 + b Add 2 to both sides
5 = b
y = mx +b We know the slope (m) is [tex]\frac{1}{2}[/tex] and the y intercept (b) is 5.
y=mx+ b
y = [tex]\frac{1}{2}[/tex] x + 5
what does -2 x -3x + 1 = ?
The equation is -2 x -3x + 1 and value of x is 1/5
Given,
In the question:
The equation is :
-2x -3x +1 =?
To solve the above equation:
Now, According to the question:
For finding the value of x
-2x -3x +1
Calculate sum or difference
-5x + 1
-5x = -1
x = 1/5
Hence, The equation is -2 x -3x + 1 and value of x is 1/5
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Evaluate the problem
Answer:
2 4/9
Step-by-step explanation:
1.) 10/9-(-1 1/3)
2.) 10/9+ 1 1/3
3.) 3x1+1=4/3
4.)10/9+4/3
5.)(10×3)+(4×9)
6.)30+36
7.)66/27
8.) 2 4/9
Find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees.
To find the Area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.
A triangle's feature known as SAS, or "Side, Angle, Side," has two sides and an angle that are both known.
The space occupied between the sides of the SAS triangle in a plane can thus be calculated with the use of the SAS triangle area formula.
The formula to find area of SAS triangle is:
Area = ½ ab Sin C = ½ × 29 × 36 × sin 62
Thus, Area = 522 × sin 62 = 522 × 0.88 = 459.36
Hence, Area of SAS triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.
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there is a four-stage hypothesis about the origin of life. what are the stages in the correct order?
3) Which equation correctly matches the graph below?
answer option:
y=5/3x +5
y= -3/5 +5
y= 5/3x +5
y=5/3x-5
Nathan took his car in for service and repairs. He had a coupon for 15% off. Original Prices • Labor $299.88 • Parts $307.54 • Other $74.71 Which amount is closest to Nathan's total costs after the 15% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]
The amount that is closest to Nathan's total costs after the 15% discount and including 6% sales tax, assuming tax is applied after the discount is applied would be $624. That is option A.
What is discount on sales?The discount on sales is the amount of money that is being deducted from the original price of an item by a seller to their customers.
The original price for labor= $299.88
The original price for parts = $ 307.54
The original price for others = $ 74.71
The total original price = $682.13
The discount of on the total price = 15%.
That is;
= 15/100 × 682.13
= 10,232.95/100
= $102.32
When discount is removed from the original price;
= 682.13 - 102.32
= $579.81
When the tax is acted on the discount total sales;
= 6/100 × 579.81
= $3,478.86/100
= $34.79.
The total cost after discount and tax would be;
= 579.81 + 34.79
= $614.59
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WRITE THE EQUATION IN
SLOPE-INTERCEPT FORM
(1,-5) and (-2,-17)
Answer:
f(x) = 4x -9
Step-by-step explanation:
The slope-intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, m.
= [tex]\frac{-5-(-17)}{1-(-2)}[/tex]
= [tex]\frac{12}{3}[/tex]
= [tex]4[/tex]
m = 4, and now we plug it into the equation, using any given point, (1,-5) in this case.
f(x) = 4x + b
(-5) = 4(1) + b
-5 = 4 + b
b = -9
Now we find the equation: f(x) = 4x -9, and if we plug (-2,-17) in, we should get the same number as if we plug in (1,-5).
Which of the following shows the line with a slope of -1/2 through the point (-3, 2) graphed correctly?
The linear equation is written as:
y = (-1/2)*(x + 3) + 2
And its graph can be seen in the image at the end.
Which one is the graph of the line?Here we don't have the options, so I will post the graph of the line.
A linear equation with a slope a and a known poing (h, k) is written as:
y = a*(x - h) + k
Here we know that the slope is -1/2 and the point is (-3, 2), then the linear equation is:
y = (-1/2)*(x + 3) + 2
To graph the linear equation we just need to find two points on the line and connect them with a line, we already know one, so let's find another.
If we use x = 1, then:
y = (-1/2)*(1 + 3) + 2
y = (-1/2)*4 + 2
y = -4/2 + 2 = -2 + 2 = 0
y = 0
The other point is (1, 0)
With these two we can draw the graph you can see below.
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30. three fair six-sided dice are rolled. what is the probability that the values shown on two of the dice sum to the value shown on the remaining die?
Total number of cases possible when 3 Dice roll= 6^3=216
Now we have to find the number of cases when values shown on two of the dice sum to the value shown on the remaining, probability is 0.28
Now we need to count the instances where the values on two dice add up to the value on the other die, which is one. If a die shows 6, the remaining two dice must either show (5,1) or (4,2), or (3,3)
Total number of scenarios that could occur in this situation: 3!+3!+3!/2!=15
2. If a die shows 5, the other two dice must either display (4,1) or (3,2)
The total cases that could occur in this scenario are 3!+3! =12.
3. If a die shows 4, the other two dice must either display (3,1) or (2,2)
Total number of scenarios that could occur in this situation: 3!+3!/2!=9
4. If a die shows 3, the other two dice must also show 3. (2,1)
The total number of cases possible in this scenario= is 3!/2! =3
Total cases possible= 15+12+9+6+3=45
Probability= 45/216=5/24= 0.208
probability is 0.208
correct option is (D).
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The question was incomplete. Check below the complete question.
Three fair six-sided dice are rolled. What is the probability that the values shown on two of the dice sum to the value shown on the remaining die?
(A) 1/6
(B) 13/72
(C) 7/36
(D) 5/24
(E) 2/9
(x-6) (x³ + 4x³ + 6x² + 2x)
Answer:
[tex]5x^4-24x^3-34x^2-12x[/tex]
Ariana invested $400 in an account paying an interest rate of 3.8% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?
The amount to be in the account after 11 years, assuming no deposits or withdrawals is $602.880
Given,
Ariana invested $400 in an account paying an interest rate of 3.8% compounded monthly.
What is the formula for the future value on compound interest?
A = P(1+r)ⁿ
P = $400
r = 3.8%
Amount after 11 years.
r = 3.8/100
= 0.38
= 400 (1+3.8/100)¹¹
= $602.880
Therefore the amount after 11 years the amount will be $602.880.
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X=1 x=-8 Are the two linear equations parallel, perpendicular, or neither?
The two linear equations are parallel lines
What are parallel lines?parallel lines are straight line that never intersects or meet each other.
some features of parallel lines include
the lines will not meetthe slope of the lines are equalthe lines are equal distance apartIn the problem, x = 1 and x = -8 are both vertical lines. In a cartesian coordinate x = 1 is in the positive coordinate and x = -8 is in the negative coordinate
The slope of both lines are zero
The equal distance apart is calculated as
| -8 - 1 | = 9 units
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What is the change to the graph of y = - 3x - 2 when the slope is changed to - 1/3?
Answer:
The change will be that of run over run.
Step-by-step explanation:
In the equation, y= -3x - 2 it moves 3 spaces down directly on the y-axis and 1 space to the right from there in the direction of the x-axis. Although, if you were to change the slope from -3 to -1/3 it will move 1 space down directly on the y-axis and 3 spaces to the right from there in the direction of the x-axis.
Image in green is the equation of: y= -3x - 2
Image in red is the equation of: y= -1/3x - 2
a cone-shaped paper drinking cup is to be made to hold 27cm3 of water. find the height and radius of the cup that will use the smallest amount of paper.
The height and radius of the cone-shaped cup that will use the smallest amount of paper, that is the maximum volume is 3.72 and 2.632 respectively.
Formula used in the solution is
Volume of the cone= (1/3)π(r^2)h
Area of the cone= πr√(l^2 + r^2)
Given, the volume of the cone is 27 cm^3.
(1/3)π(r^2)h =27
Simplifying the equation to get the value of r.
π(r^2)=81/h
r^2=81/hπ
[tex]r=\sqrt{\frac{81}{\pi h} }[/tex]
Substituting the value of r in area, we get
[tex]A=\pi \sqrt{\frac{81}{\pi h} } \sqrt{h^{2} + \frac{81}{\pi h} }[/tex]
[tex]\frac{dA}{dh} =\pi \sqrt{\frac{81}{\pi h} } \sqrt{h^{2} + \frac{81}{\pi h} }[/tex]
dA/dh=√81 × (π - 162/[tex]h^{3}[/tex]) × 1/√(πh + 81/[tex]h^{2}[/tex])
At dA/dh=0, we will get,
√81 × (π - 162/[tex]h^{3}[/tex]) × 1/√(πh + 81/[tex]h^{2}[/tex])=0
√81 × (π - 162/[tex]h^{3}[/tex])=0
[tex]\pi - \frac{162}{h^{3} }=0[/tex]
Thus, [tex]\pi h^{3} -162=0[/tex]
[tex]\pi h^{3} =162[/tex]
[tex]h^{3} =\frac{162}{\pi}[/tex]
h^3= 51.5662015618
h= 3.7221
Now, substitute h in radius,
[tex]r=\sqrt{\frac{81}{\pi \times 3.7221} }[/tex]
r=2.632
Hence, the height of the cone shaped cup is 3.7221 and the radius is 2.632.
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Kelly is knitting a scarf for her brother. It took her 13 hour to knit 38 foot of the scarf. How fast is kelly's knitting speed, in feet per hour?.
