Answer:
well is a 50 50 chains that Allen will get a red marble and
a 50 50 that the coin will land heads up.
Step-by-step explanation:
x2 + 4x - 21 = 0 quadratic formula
Answer:
0
Step-by-step explanation:
x2 +4x-21=0. solve for x
[tex]x = \frac{7}{2} [/tex]
[tex]x = 3 \frac{1}{2} \ x = 3.5[/tex]
An automobile dealer agrees to discount the $10,288 sticker price of a new car by 5% for a customer. What is the price of the car for the customer?
Answer: 514.4
Step-by-step explanation:
10, 288 x 5 ÷ 100
T=s+.50 T=0.25s+1.70 In the equation above t and a represent the weight in tons of a sedan and of a truck, respectively. What is the weight of a sedan in tons
Answer :
The weight of a sedans in tons is 2.1 tons.
Step-by-step explanation:
Given : Equations [tex]T=s+0.50[/tex] and [tex]T=0.25s+1.70[/tex] where T and s represents the weight in tons of a sedan and of a truck, respectively.
To find : What is the weight of a sedan in tons ?
Solution :
Solving equations,
[tex]T=s+0.50[/tex] ......(1)
[tex]T=0.25s+1.70[/tex] .....(2)
As LHS is equate we equate RHS,
[tex]s+0.50=0.25s+1.70[/tex]
[tex]s-0.25s=1.70-0.50[/tex]
[tex]0.75s=1.2[/tex]
[tex]s=\frac{1.2}{0.75}[/tex]
[tex]s=1.6[/tex]
Substitute in equation (1),
[tex]T=1.6+0.50[/tex]
[tex]T=2.1[/tex]
Therefore, the weight of a sedans in tons is 2.1 tons.
Hannah planted flowers next to the school playground. She planted 2 daisies, 3 sunflowers and 4 tulips.
What is the ratio of the number of daisies she planted to the total number of flowers she planted?
Answer:
the ratio is 2:9
Step-by-step explanation:
there are a total of 9 flowers, she planted 2 daisies
What is the range of y = sin θ
A. [-1, 1]
B. [0, infinite]
C. all real numbers
D. 2pi
Answer:
A
Step-by-step explanation:
range is the possible y values
sin x and cos x parent graphs all have range from [-1, 1].
factors a, b, c, d affect the graph of asin(bx+c)+d
since a and b = 1 and c and d = 0, the range is default [-1,1]
Fred sold half of his comic books and then bought 7 more. He now has
11. How many did he begin with ?
Answer:
8
Step-by-step explanation:
11-7=4
4x2=8
answer=8
He has 8 comic books before he sold any of his comic books.
MODELING EXPONENTIAL GROWTH
1. You put $3,800 dollars in a savings account. The bank will provide 1.8% interest every year. Write and solve a model that describes how much money will be in the account in 15 years.
2. Suppose you deposit $2000 into a savings account that pays an interest annual rate of 4% if no money is added or withdrawn from the account, how much will be in the account after 3 years? What about 18 years? How many years will it take for the account to contain 3000 (for this now you know the total amount, you need to find t time)?
Answer:
1. M = C*1.018^t
After 15 years: M = 4965.93
2. After 3 years: M = 2249.728
After 18 years: M = 4051.633
Time to achieve 3000: t = 10.338 years
Step-by-step explanation:
1. Since the money gets increased every year at a rate of 1.8% after one year it'll be the initial amount multiplied by 1.018, so:
After one year:
M = C*1.018
After two years:
M = C*1.018*1.018 = C*(1.018)²
After three years:
M = C*(1.018)²*1.018 = C*(1.018)³
And so on, therefore:
M = C*(1.018)^t
Where M is the final amount, C is the initial amount and t is the time elapsed in years. For this case we have:
M = 3800(1.018)^15 = 4965.92626
2. Applying the same line of thought as above, we have:
M = C*(1.04)^t
After 3 years:
M = 2000*(1.04)^3 = 2249.728
After 18 years:
M = 2000*(1.04)^18 = 4051.633
To obtain 3000:
3000 = 2000*(1.04)^t
2000*(1.04)^t = 3000
1.04^t = 3000/2000
1.04^t =1.5
log(1.04^t) = log(1.5)
t*log(1.04) = log(1.5)
t = log(1.5)/log(1.04) = 10.338 years
What is 240,000 divided by 1962.5 ?
Answer:
122.293
Step-by-step explanation:
A bag contains white marbles and blue marbles, 65 in total. The number of white marbles is 8 more than 2 times the number of blue marbles. How many white marbles are there?
Answer:
NOTE: THIS IS AN EXAMPLE
Step-by-step explanation:
Let the Yellow Marbles be “X” and Red Marbles be “Y”
Total is 65, so X+Y = 65
Since we know that Yellow Marbles are 5 more than 4 times red marbles, let us convert that in terms of X and Y as well.
i.e, X = 4Y+5
Now replace X with (4Y+5) in the first equation we wrote above.
(4Y+5)+Y = 65
i.e, 5Y+5 = 65
5Y = (65–5),
5Y = 60
Therefore Y = 60/5 = 12
we know total is 65
So X= 65-Y
X=65–12 = 53
Therefore, the number of Yellow Marbles are 53 and the Red ones are 12.
To divide 14 2/3 divide by 2 3/4, Erik multiplied 14 2/3 times 4/3. Explain Erik's error.
Answer:
Erik should have divided 14 2/3 by 2 3/4, but instead he multiplied causing him to have a greater answer than 5 and 1/3
(give brainliest please)
What nationality were the terrorists that blew up the Alfred P. Murrah Federal
Building in Oklahoma City?
A.Sudanese
B.Saudi Arabian
C.Syrian
D.American
Admission to a baseball game is $4.00 for general admission and $4.50 for reserved seats. The receipts were $5150.00 for 1255 paid admission. How many of each ticket were sold?
Answer:
995 general admission tickets and 260 reserved seat tickets
Step-by-step explanation:
We can solve this by using Simultaneous equations.
General admission is $4.00 and each Reserved seat is $4.50.
Let g represent the number of General admission tickets and r represent the number of Reserved seat tickets.
The total amount paid for 1255 tickets is $5150.00.
This means two things:
1. The total number of tickets is 1255, which means if we add the general admission tickets and the number of reserved seat tickets, we will get 1255:
g + r = 1255 ________________ (1)
2. The total price of all tickets is $5150.00, which means if we multiply the number of general admission tickets by the price of general admission tickets and we multiply the number of reserved seat tickets by the price of reserved seat tickets and add them up, we will get $5150:
(4.00*g) + (4.50*r) = 5150 _________(2)
=> g + r = 1255 __________________(1)
(4.00*g) + (4.50*r) = 5150 _________(2)
From (1):
g = 1255 - r _______ (3)
Putting (3) in (2):
{4.00*(1255 - r)} + (4.50*r) = 5150
5020 - 4.00r + 4.50r = 5150
5020 + 0.50r = 5150
=> 0.50r = 5150 - 5020
0.50r = 130
r = 130 / 0.50 = 260
Putting the value of r in (3):
g = 1255 - 260 = 995
Hence, 995 general admission tickets and 260 reserved seat tickets were sold.
Final answer:
To find the number of general admission and reserved seat tickets sold, set up and solve a system of equations using the given information.
Explanation:
Given:
General admission tickets cost $4.00.
Reserved seat tickets cost $4.50.
Total receipts were $5150.00 for 1255 paid admissions.
To solve:
Let x be the number of general admission tickets sold.
Let y be the number of reserved seat tickets sold.
Form the equations: x + y = 1255 and 4x + 4.50y = 5150.
Solve the system of equations to find x and y.
Answer: 705 general admission tickets and 550 reserved seat tickets were sold.
The graph of the function f(x) = (x+6)(x+2) is shown.
Which statements describe the graph? Check all that
apply.
The vertex is the maximum value.
The axis of symmetry is x= -4.
The domain is all real numbers.
The function is increasing over (-0, -4).
The function is negative over (-6, -2).
Intro
Done
Answer: Is 2, 3 and 5
Step-by-step explanation:
I just completed the assignment on Edge
By analyzing the quadratic function, we can see that:
1) true2) true3) true4) false5) true.Which statements are correct?
Here we have the quadratic function:
f(x) = (x + 6)*(x + 2)
Let's analyze each statement to see which ones are correct.
1) "The vertex is the maximum value."
True, the leading coefficient is positive, so the parabola opens up, meaning that the vertex is the minimum.
2) " The axis of symmetry is x= -4."
The two roots are x = -6 and x = -2, the axis of symmetry is right between these two values, so it is at x = -4, so this is true.
3) "The domain is all real numbers."
For all quadratic functions, this is true.
4) "The function is increasing over (-0, -4)"
(I don't know what -0 means, the segment (-0, -4) does not exist, so i will take this as false).
5) "The function is negative over (-6, -2)."
This is true, the two roots are at -6 and -2, so between these values the function must be negative.
If you want to learn more about quadratic functions, you can read:
https://brainly.com/question/1214333
A student decided to start saving money.On the first day he saved 1 cent, on the second day an additional 2 cents, on day 3 he saved 4 cents. Each day he doubled the amount he saved the previous day. How much would he be saving on day 20?
(Hint: The first term of the geometric sequence is 0.01 and the common ratio is 2. What is the 20th term?)
Question 1 options:
A-$3.80
B-$10,485.75
C-$5,242.88
D-$10,485.76
Answer:
The correct option is option (B).
He would be saving $10,485.75.
Step-by-step explanation:
We know that,
1 cent =$ 0.01.
Geometric sequence:
The first term of the sequence be a and common ratio n, then [tex]n^{th}[/tex] term of the sequence is [tex]T_n=a(r)^{n-1}[/tex] .The sum of the sequence is[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex] where r>1
[tex]=\frac{a(1-r^n)}{1-r}[/tex] where r<1
=na where r=1
Here first term(a)= $0.01, r= 2 , n=20
[tex]S_n=\frac{0.01(2^{20}-1)}{2-1}[/tex]
=10,485.75
He would be saving $10,485.75.
which number doesn't belong?
9 16 25
43
Answer:
43
Step-by-step explanation:
Square root of 9 is 3
Square root of 16 is 4
Square root of 25 is 5
Square root of 43 is not a whole number.
Answer:
43
Step-by-step explanation:
The first three numbers are perfect squares:
9 = 3²
16 = 4²
25 = 5²
43 is not a perfect square.
What type of transformation maps AQRS to AQ'R'S'?
O
O
dilation
reflection
O
O
rotation
translation
The type of transformation maps AQRS to AQ'R'S' is rotation.
The following information should be considered;
A rotation is a type of transformation that takes each point in a figure and rotates it a specific number of degrees. The result of a rotation represent a new figure, called the image. The image is congruent to the original figure.Learn more: https://brainly.com/question/4626564?referrer=searchResults
Write 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 using an exponent.
Answer:
9
[tex] {9}^{8} [/tex]
What 4 out 100 in percent
Answer:
4%
Step-by-step explanation:
Answer:
4%
Step-by-step explanation:
How much is 4 out of 100 written as a percentage? Convert fraction (ratio) 4 / 100
A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false? Explain your reasoning.
Speed is a function of time.
Time is a function of distance.
Speed is a function of number of students racing.
Time is a function of speed.
Answer:
True
Step-by-step explanation:
since, S= D/T the distance traveled would only be 100m, it is a consatnt variable dividing it with the time it takes to reach that distance would be its speed. Unless there is an acceleration happening in that process the speed would change depending on the situation.
Final answer:
Speed is a function of time and time is a function of speed, with these relationships demonstrated through the equations speed = distance/time and time = distance/speed. The number of students racing does not affect an individual's speed.
Explanation:
A student asked several questions related to speed, distance, and time while analyzing a 100-meter sprint. To address these questions, we will look at the relationships between these quantities.
Speed is a function of time: True. Speed can be calculated as the distance traveled divided by the time it took, so if you know the time, you can calculate the speed using the equation speed = distance/time.
Time is a function of distance: False. Time can be a function of speed and distance (time = distance/speed), but this question does not provide information indicating that time is directly dependent on distance alone.
Speed is a function of the number of students racing: False. The speed of a student is independent of the number of students racing; it is determined by the individual's performance (distance/time).
Time is a function of speed: True. Given a constant distance, time can be calculated by dividing the distance by the speed (time = distance/speed).
Please Help Me!! I can’t figure this out!!
Answer:
a=12 ft, b=12 ft
Step-by-step explanation:
-Length A and length B are equal since the right angle triangle is also an isosceles triangle.
-We use the Law of sines to calculate the two lengths:
[tex]\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{12\sqrt{2}}{Sin\ 90\textdegree}\\\\a=b=12\sqrt{2} \ Sin \ 45\textdegree\\\\a=b=12\ ft[/tex]
Hence, length a is equal to length b which is equal to 12 ft
What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
Answer:
there is one zero: 5/16
Step-by-step explanation:
i used photomath
What is the center of the circle given by the equation (x + 5)2 + (y - 8)2 = 1?
A.
(5, -8)
B.
(-5, -8)
C.
(5, 8)
D.
(-5, 8)
Circle equation: (x + h)² + (y - k)² = r²
The center can be found by looking at (h, k) in the equation.
We are given the equation (x + 5)² + (y - 8)² = 1
The center is (h, k) so, it is (-5, 8)
Best of Luck!
Answer:
he center is (h, k) so, it is (-5, 8)
Step-by-step explanation:
HELP ME ASAP PLEASE!!!WILL MARK BRAINLIEST!!!
What’s x?
#3 only. But if u wanna do #5 then go ahead lol
Answer:
x=10.85
Step-by-step explanation:
you add 85 and 31 equaling 116.
13x-21=116
+21 =+21
13x=137
13x= 13x
x=10.85
which is the rate of change for the interval between -6 and -3 on the x-axis ?
Answer:
Its -2.
Step-by-step explanation:
Answer:
A. -2
Step-by-step explanation:
Find the unknown side length, x. Write your answer in simplest radical form.
A. 24
B. 4 √ 37
C. 2 √ 154
D. 5 √ 117
PLEASE HELP!!
Answer:
b
Step-by-step explanation: i just took the test and B. is the correct answer
Answer:
(B) 4/37 is correct
Step-by-step explanation:
I got it correct on edge
Marquise has 200200200 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width www (in meters) is modeled by:
A(w)=-w^2+100wA(w)=−w
2
+100wA, left parenthesis, w, right parenthesis, equals, minus, w, squared, plus, 100, w
What is the maximum area possible?
Answer:
2500 Square meters
Step-by-step explanation:
Given the garden area (as a function of its width) as:
[tex]A(w)=-w^2+100w[/tex]
The maximum possible area occurs when we maximize the area. To do this, we take the derivative, set it equal to zero and solve for w.
A'(w)=-2w+100
-2w+100=0
-2w=-100
w=50 meters
Since Marquise has 200 meters of fencing to build a rectangular garden,
Perimeter of the proposed garden=200 meters
Perimeter=2(l+w)
2(l+50)=200
2l+100=200
2l=200-100=100
l=50 meters
The dimensions that will yield the maximum area are therefore:
Length =50 meters
Width=50 meters
Maximum Area Possible =50 X 50 =2500 square meters.
The side lengths of a triangle are 12, 15, and 10 square root 3. Classify the triangle.
Answer: Scaline?
Step-by-step explanation:
The triangle having sides 12, 15 and 10√3 is a Scalene type triangle.
Thus, the triangle having sides 12, 15, and 10√3 is a Scalene type triangle.
Learn more about Scalene Triangles here:
https://brainly.com/question/16589630
#SPJ2
a web music store offers two versions of a popular song. the size of the standard version is 2.9 megabytes (MB). the size of the high-quality version is 4.8 MB. yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 6188 MB. How many downloads of the standard version were there?
Answer:
280 downloads
Step-by-step explanation:
-let x denote the number of standard version downloads.
-Given that the high-quality version was downloaded four times as often as the standard version it is denoted as 4x
-This can then be expressed as:
[tex]x(2.9)+4x(4.8)=6188\\\\2.9x+19.2x=6188\\\\22.10x=6188\\\\x=280[/tex]
Hence, the number of standard version downloads is 280
2.plz answer question with explanation
What is the degree of the monomial?
8x
Answer:
1
Step-by-step explanation:
when a variable does not have an exponent the degree is always one. Ex: 8x is the same as 8x to the power of 1