Answer:
1564.42 mph
Step-by-step explanation:
Let a = Object A's speed
b = Object B's speed
a = b + 1500
a/85000 = b/3500
Let's make subtract 1500 from both sides of the first equation
a = b + 1500
- 1500 - 1500
b = a - 1500
Cross multiply the second equation
3500a = 85000b
Plug in the new b into this new equation
3500a = 85000(a - 1500)
3500a = 85000a - 127500000
Subtract 3500a and 127500000 from both sides
3500a = 85000a - 127500000
- 3500a - 3500a
0 = 81500a - 127500000
+ 127500000 + 127500000
127500000 = 81500a
Divide both sides by 81500
127500000/81500 = 81500a/81500
a = 1564.4171779141104
A fair 20-sided die is tossed. What is the probability that the numbers 15 or 4 or 18 are tossed?
The probability of 1 number showing up out of 20 is 1/20
The probability of 3 different numbers showing up would be 3/20
Answer: 3/20
7. The new York Volleyball Association
invited 64 teams to compete in a tournament.
After each round, half of the teams were
eliminated.
How many teams are left after 3 rounds?
Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
64 teams were invited, thus [tex]a_1 = 64[/tex].After each round, half the teams are eliminated, thus [tex]q = \frac{1}{2}[/tex].The number of teams after 3 rounds is the 4th term of sequence, as the first is the initial number(0 rounds), thus:
[tex]a_n = a_1q^{n-1}[/tex]
[tex]a_4 = 64\left(\frac{1}{2}\right)^{4-1}[/tex]
[tex]a_4 = 8[/tex]
After 3 rounds, 8 teams are left.
A similar problem is given at https://brainly.com/question/25317689
Blaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.
Answer:
fsuu vvv
Step-by-step explanation:
gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings
please help me with this sum
Answer:
Step-by-step explanation:
2. 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3
3. 4 × 9 = 2 × 2 × 3 × 3
4. 6 × 6 = 2 × 3 × 2 × 3
please give me a brainliest answer
Step-by-step explanation:
2. 36 = 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3
3. 36 = 4 × 9 = 2 × 2 × 3 × 3
4. 36 = 6 × 6 = 2 × 3 × 2 × 3
Who can help me with this entire page?
Answer:
I'm not entirely sure what the question is but every thing under 12.5 is closer to 12, everything 12.5 and upwards like 12.87 would be closer to 13
HELP
slope = 1; y-intercept =8
Answer:
[tex]y = mx + c \\ m = 1 \\ c = 8 \\ y = 1x + 8 \\ y = x + 8[/tex]
Given :-
slope = 1 y intercept = 8To find :-
The equation of the line .Solution :-
We know that ,
y = mx + cOn substituting ,
y = 1*x + 8 y = x + 8f(x) = 3x + 6 please help quickly!!!!!!!
Given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and [tex]\frac{(f(a + h) - f(a)) }{h}[/tex] by substituting their values into f(x) = 3x + 6. We will have the following:
[tex]\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}[/tex]
Given:
f(x) = 3x + 6We are told to find:
f(a)f(a + h), and[tex]\frac{(f(a + h) - f(a)) }{h}[/tex]1. Find f(a):
Substitute x = a into f(x) = 3x + 6f(a) = 3(a) + 6
f(a) = 3a + 6
2. Find f(a + h):
Substitute x = a + h into f(x) = 3x + 6f(a + h) = 3(a + h) + 6
f(a + h) = 3a + 3h + 6
3. Find [tex]\frac{(f(a + h) - f(a)) }{h}[/tex]:
Plug in the values of f(a + h) and f(a) into [tex]\frac{(f(a + h) - f(a)) }{h}[/tex]Thus:
[tex]\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\[/tex]
Add like terms[tex]\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}[/tex]
Therefore, given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and [tex]\frac{(f(a + h) - f(a)) }{h}[/tex] by substituting their values into f(x) = 3x + 6. We will have the following:
[tex]\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}[/tex]
Learn more here:
https://brainly.com/question/8161429
which quanity is proportional to 5/25
Answer:
1/5
Step-by-step explanation:
Select the two statements that are true about the equation y − 10 = 60(x − 40).
A. The slope of the line is 10.
B. The slope of the line is 60.
C. One point on the line is (40, 10).
D. One point on the line is (10, 60).
Answer:
The answer for this question is B and C
The answer is B and C
The equation above is in point slope form
y-y1=m(x-x1)
Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)
So thats why B and C is the answer!
brianlist me?
1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?
can you help please i beg you guys
Answer:
Mr. Pandya's class has 12 boys and 18 girls.
Mr. Chapman's class has 5 girls and 25 boys.
Step-by-step explanation:
What is the answer X=-2(6+4)
Answer:
X = -20
Step-by-step explanation:
X = -2(6+4)
^ add 6 and 4 together first because they are in parentheses
-2(10)
^ this parenthesis means you want to multiply -2 and 10
because 2 x 10 = 20
that must mean -2 x 10 = -20
therefore, the value of X is -20
X= -20
A cube shaped block of ice has a mass of 59 kg. The density of ice is 917 kg per cubic meter. The mass of an object is the product of its density and its volume. Write a cubic function to model the mass of a block of ice in terms of its edge length x (in meters).
Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Using the function, the edge length of the block of ice is of 0.4 m.
What is the formula for the density of an object?The density of an object is given by the mass of the object divided by it's volume, as follows:
d = m/v.
Hence the mass of the object is given by the following equation:
m = dv.
For this problem, we have that:
The density of ice is 917 kg per cubic meter, hence d = 917.The block of ice has a cubic format, meaning that v = x³, in which x is the edge length.Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Considering the mass of the block of ice, the length is found as follows:
59 = 917x³
x = cubic root(59/917) -> (59/917)^(1/3) in any calculator
x = 0.4 m.
Using the function, the edge length of the block of ice is of 0.4 m.
More can be learned about the density formula at https://brainly.com/question/11836799
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What is 5.521 rounded to the nearest whole number?
Answer:
6
Step-by-step explanation:
If the first number (in this case, behind the decimal) is 5 or more, you round up. If it is 4 or less, you round down. since 2 and 1 are less than 4, you round down making them both 0. Then, you round up making the answer 6. I hope this makes sense! I wasn't entirely sure how to explain this.
y"+y'-6y = 12e^3t+12e^-2t
Answer
yc(T)=y"+y'-6y=0
Step-by-step explanation:
What is an acute- angled triangle?
A.) Has 3 acute angles
B.) Has 1 right angle
C.) Has one acute angle
D.) Has 1 obtuse angle
Answer:
c
Step-by-step explanation:
What are your realizations after watching the video about Nature By Numbers By Cristobal Vila
choose the equation of the graphed function
NEED HELP ASAP WILL GIVE BRAINLIEST
Find the quotient: 11.28 divided by 4.7
Answer:
11.28 Divided by 4.7 equals 2.4.
Step-by-step explanation:
It's just simple division. Glad I could help though!
Answer:
2.4
Step-by-step explanation:
Helpppppppp meeeeeeee
Answer:
Step-by-step explanation:
solution 1:
570 not man = 15% (cause 100% - 85%)
15% = 570
100% = w (for "whole package")
15w = 100 * 570
15w = 57000
w = 57000 / 15
w = 3800
solution 2:
15% = 570
85 = m (for "men)
15m = 570 * 85
15m = 48450
m = 48450 / 15
m = 3230
100% = 85% + 15%
100% = b (for "buch of people")
b = 3230 + 570
b = 3800
algebra ii question!
Diane took a loan out for $3000 for 11 months and was charged a simple interest. The total interest she paid was $253. What’s her interest rate
Answer:
$300
Step-by-step explanation:
Diane's interest rate on the loan is approximately 8.43%.
Let's determine Diane's interest rate step by step.
1. First, we need to understand the formula for simple interest:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T)
where:
P = Principal amount (initial loan amount)
R = Interest rate (unknown, what we want to find)
T = Time period in years
2. We have the following information from the problem:
P = $3000 (Principal amount)
SI = $253 (Total interest paid)
T = 11 months
3. However, to use the formula, we need to convert the time from months to years. Since 1 year has 12 months, we can write:
T = 11 months ÷ 12 months/year
≈ 0.917 years
4. Now, let's rearrange the formula to solve for the interest rate (R):
R = SI / (P × T)
Substituting the given values:
R = $253 / ($3000 × 0.917) ≈ 0.0925
5. Finally, we need to convert the interest rate from a decimal to a percentage:
R = 0.0925 × 100 ≈ 8.43%
So, Diane's interest rate on the loan is approximately 8.43%.
In summary, to find the interest rate, we used the simple interest formula and rearranged it to solve for the rate. We converted the time from months to years before calculating the interest rate. The result is approximately 8.43% interest rate, indicating the percentage of the principal that Diane had to pay as interest over 11 months.
To know more about Interest rate here
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a 2) Choose the correct name for the set of numbers. . {4 4. 256, 0.888, 26, – 4.0, 81 1.0, 781 4 O natural numbers O irrational numbers integers O whole numbers real numbers O rational numbers
Answer:
irrational numbers integers
Point C is located at ( -6,5). Point D is located at (-2, y). The
* distance between points C and D is 5 units. Find a possible y
value for point D.
Select all possible answers.
Pick up to 0 answers.
А
1
B. 2
C. 5
D. 8
E 9
Answer:
Step-by-step explanation:
yes cdrj
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ennejw
[tex]f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} [/tex]
[tex]f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi[/tex]
[tex]g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )[/tex]
which one of the following is a polynomial and which is not, and why?
Step-by-step explanation:
g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.
f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree
10
What is the volume of the rectangular prism,
if the length of one cube is 1 cm?
Answer:
60 cubic centimetres
what is the product of 2 x 2 x 3 x 3 using an exponent?
Answer:
2^2 * 3^2
Step-by-step explanation:
2 * 2 * 3 * 3
We are multiplying 2 twos and we are multiplying 2 threes 3^2
The base is the number and the exponent is the number of the times
2^2 * 3^2
100 POINTS FOR THE CORRECT ANSWER
(03.03 MC)
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 3(1.09)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)
Answer:
I hope this helped. Look throught the pictures
Step-by-step explanation:
Answer:
Part A: 0<x<9
Part B: The y-intercept 3 represents how big the fish was when she first started her study.
Part C: The average rate of change from m=2 to m=8 is 2.09, and it represents the growth of the species of fish.
I don't know about Part C, but I hope this helps!
Consider the equation as shown:
(x-a)(y-b) = (x-2a)(y- b/2)
x(x + 1/2b) + y(y + a/2) -2xy = 5+(x-y)²
On comparing the coefficient, a student says these pairs of equations is consistent. Is he/she correct? Which of these explains why?
(a) Yes; because they are parallel lines.
(b) No; because they are interesting lines.
(c) Yes; because they are parallel lines.
(d) No; because they are interesting lines.
[tex]\large\underline{\sf{Solution-}}[/tex]
First equation is
[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]
can be further simplified to
[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]
[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]
[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]
[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]
[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]
[tex]\rm \longmapsto\:bx = 2ay[/tex]
[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]
Second equation is
[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]
[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]
[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]
[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]
So, we have two equations in simplest form as
[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]
and
[tex]\rm \longmapsto\:x + aby = 10b[/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]
[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]
[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]
This implies, System of equations is consistent having unique solution.
So, The student is correct as lines are intersecting.
So, option (b) is correct.
The four points A(-1.0). B(3.b). C(a. 2) and D(-2.1) are the vertices of a parallelogram ABCD. find the value of a and b.
Answer:
Step-by-step explanation: