The graph showing the change in the whales distance over time is given by y = 0.5x
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept.
Let y represent the total distance covered for x minutes.
Let the constant rate be m miles per minute. The whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Hence:
2.5 = 5(m)
m = 0.5 miles per minute
y = 0.5x
In 1 minute:
y = 0.5(1) = 0.5 miles
The graph is given by y = 0.5x
The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.
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Translate (3, – 4) down 3 units.
Then reflect the result over the y-axis.
Answer:
Step-by-step explanation:
Best advice: make a sketch (which I can't do here).
When you reflect in the x axis, only the y value changes...so (3, -4) reflects to (3,4).
Translating down (i.e. in the negative direction) again means the x value (the abscissa) doesn't change, only the y value (the ordinate)...so the final value of the point is (3,1).
Does 12cm, 7cm, 5cm, make a triangle
Answer:
No, it doesn't.
Step-by-step explanation:
In order to find what makes a triangle, lets use the Triangle Inequality Theorem!
This theorem can help us show whether the sum of two side lengths of a triangle is greater than the third side or not
Here is our formula(s):
1.) a + b > c
2.) a + c > b
3.) b + c > a.
Lets make a=12, b=7, & c=5
1.) 12 + 7 > 5
19 > 5
2.) 12 + 5 > 7
17 > 7
3.) 7 + 5 > 12
10 > 12
As you can see, both numbers 1 and 2 shows to be correct but 3 is not. Therefore it doesn't make a triangle. Remember, if all the two side lengths of a triangle is greater than the third side, then it makes a triangle.
A ball is thrown from a height of 40 meters with the initial downward velocity of 5 m/s. the ball's height h ( in meters) after t seconds is given by the following
h= 40 - 5t -5t^2
How long after the ball is thrown does it hit the ground?
round your answer(s) to the nearest hundredth.
The time which it will take for the ball to hit the ground after bring thrown from a height of 40 meters as described in the task content is; 2.37 seconds.
How long will it take for the ball thrown to hit the ground after being thrown from a height of 40meters?It follows from the task content that the equation given for the height, h in meters of the ball thrown is;
h = 40 - 5t - 5t²
Therefore, when the ball hits the ground, the height at this point is; 0.
0 = 40 - 5t - 5t²
Divide through by -5 so that we have;
t² + t - 40 = 0.
Hence, by solving using the quadratic formula; the values of t are;
t = 2.37 sec or -3.37 sec.
Ultimately, since the time taken can only have a positive value, it follows that the time taken by the ball to hit the from the 40 meters height is; t = 2.37.
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Jordan is starting to save $150 to buy a new cell phone. In December, he saved $5. In January, he plans twice as much as he did in December, for a total savings of $15 ($5 + $10). If Jordan continues to save twice as much he saved from the previous month, in which month will his total savings will be enough to buy the phone.
9514 1404 393
Answer:
April
Step-by-step explanation:
The sequence of amounts saved is a geometric sequence. The sum of those amounts is given by the formula ...
Sn = a1·(r^n -1)/(r -1)
where a1 is the amount saved in month 1, r is the common ratio, and n is the number of months. We want to find n such that ...
150 ≤ 5(2^n -1)/(2 -1)
30 ≤ 2^n -1
31 ≤ 2^n
We can solve this using logarithms, or we can make use of our knowledge of powers of 2: 2^5 = 32. That is, n = 5 will be the first month when Jordan's total savings exceeds $150.
The fifth month will be April. Jordan's total savings will be enough in April.
__
The attached shows a spreadsheet that computes Jordan's amount of savings each month, and his running total. Once the formulas are written, they can be copied down as far as required to see where the total savings is enough.
20 sweaters to 8 shirts
a. 2/3
c. 5/4
b. 4/5
d. 5/2
with work please :)
Answer:
D. 5/2
Step-by-step explanation:
20:8
You can divide them by 4 to get 5 and 2
20/4 = 5
8/4 = 2
5/2
Hope this helps!!
Answer:
the answer would be d 5/2
Step-by-step explanation:
u would so a fraction put 20/8 ans simplify the exact form would be 5/2
A school had 45 classrooms. there are 27 in each classroom how many students are in all 45 classrooms?
Answer:
1215
Step-by-step explanation:
Answer:
1,215
Step-by-step explanation:
just multiply 27 &45
Find the gradient of the line segment between the points (-3,3) and (2,5).
Give your answer in its simplest form.
Answer:
2/5
Step-by-step explanation:
5-3/2-(-3)=2/5
The difference of two integers is 5. Twice the smaller integer is 8 more than the larger integer. What are the two integers?
Answer:
18 and 13
Step-by-step explanation:
The two numbers are 13 and 18 respectively.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the difference of two integers is 5. Twice the smaller integer is 8 more than the larger integer.
Assume the number to be [x] and [y]. We can write -
x - y = 5
2y = x + 8
2y = 5 + y + 8
y = 13
Then -
x = 13 + 5
x = 18
Therefore, the two numbers are 13 and 18 respectively.
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WILL GIVE BRAINLIEST!!!!
Find the value of x.
25.8
12
6
14.7
Answer:
its 14.7
Step-by-step explanation:
I Took The Test
Shane used clay to make a cone with a height of 6 inches and a diameter of 4.5 inches for a sculpture. What is the volume of this cone? 6 in. V=
Answer:
go look at my first question
Step-by-step explanation:
Find the missing side of this triangle, round to the nearest tenth if needed PLEASE HELP WILL MARK BRAINLIEST
Answer:
The value of x:
[tex]x\:\approx \:8[/tex] inStep-by-step explanation:
Given
[tex]b=4.8[/tex] in
[tex]c=9.3[/tex] in
a = x
we have to determine 'x'.
As the given triangle is a right-angled triangle.
Pythagorean Theorem:
For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as
[tex]c=\sqrt{a^2+b^2}[/tex]
so
[tex]a=\sqrt{c^2-b^2}[/tex]
as
[tex]b=4.8[/tex] in[tex]c=9.3[/tex] ina = xsubstituting the values
[tex]x=\sqrt{9.3^2-4.8^2}[/tex]
[tex]x\:\approx \:8[/tex] in
Thus, the value of x:
[tex]x\:\approx \:8[/tex] inOn a coordinate plane, how are the locations of the points (-3 , -8) and (3 , -8) related? A. reflection across the x-axis B. reflection across both axes C. reflection across the y-axis D. locations unrelated
Given:
The locations of the two points are (-3 , -8) and (3 , -8).
To find:
The relation between two points.
Solution:
From the given points (-3 , -8) and (3 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.
If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,
[tex](x,y)\to (-x,y)[/tex]
For (3,-8),
[tex](3,-8)\to (-3,-8)[/tex]
So, it is reflection across the y-axis.
Therefore, the correct option is C.
Answer:
reflection across the x-axis
please helpp!!
Ron asked 18 classmates whether they prefer granola bars over muffins. He used a calculator to compare the number of classmates who said yes to the total number he surveyed. The calculator showed the result as 0.66666667. Write this number as a fraction.
Answer:
2/3
Step-by-step explanation:
0.6666667 as a fraction is 2/3
Answer:
Part A = 2/3
Part B = 12
Step-by-step explanation:
2/3 of 18 would be 12
Hope this helped, have a great day
A plane traveled 3355 miles with the wind in 5.5 hours and 2585 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
HELP QUICKKKKK
Answer:
Speed of the plane in still air is 540 mph,Speed of the wind is 70 mph
=======================
Let the speed of plane is x and speed of the wind is y.
The speed of the plane with the wind is x + y and speed of the plane against the wind is x - y.
Equation for speed:
speed = distance / timeSince the same amount of time spent in both cases, we can set equations:
x + y = 3355/5.5 ⇒ x + y = 610x - y = 2585/5.5 ⇒ x - y = 470Add up the two equations and solve for x:
x + y + x - y = 610 + 4702x = 1080x = 540Find y:
540 + y = 610y = 610 - 540y = 70Table of values are provided for functions f(x) = |x| and g(x) = -|x +2|+3.
Complete the table of values for the missing values of g(x).
Answer:
for answer to be 2
mod of x +2 should be equal to 1
so the answer will be x = -3 or -1
for x = 1 we will get gx 0
for g(x) = -2 mod x +2 should be equal to 5
so x is -7 or 3
I insist its B, however D is the teachers answer. What is the answer.
Considering the roots of function f(x), the correct statement is given by:
D. f has exactly two zeros of [0,4].
What are the roots of a function?The roots of a function are the values of x for which f(x) = 0.
In this problem, we have that:
f(2) = 0, hence x = 2 is a root.f(3) < 0 and f(4) > 0, meaning that between x = 3 and x = 4, there is a root of a function, as to go from negative to positive, it has to pass through f(x) = 0.For values of x less than 2 on the interval, the function is never negative nor zero, hence there are no roots in that interval and option D is correct.
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After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Explain how you could find the equivalent cost at each vendor.
The total cost of wrapping for both fishes are given by 4.5x + 2 and 5x respectively.
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the number of pounds of the fish.
For the first fish, cost = 4.5x + 2
For the second fish, cost = 5x
The total cost of wrapping for both fishes are given by 4.5x + 2 and 5x respectively.
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Triangle ABC has coordinates A (0, 4), B (1, 3), and C (-2, 4). If triangle ABC is reflected over the x axis and then translated such that (x, y) → (x+3, y-1), what is the resulting image of point C?
The resulting image of point C is C''(x, y) = (1, - 5).
What are the coordinates of the image of a point by using a rigid transformation?
The triangle seen on the Cartesian plane is generated by three points on that plane. The image of the triangle is the result of reflecting the three vertices over the x axis and later translating them 3 units in the +x direction and a unit in the - y direction, two kinds of rigid transformations.
Now we proceed to show the entire procedure:
Reflection over the x-axis
C'(x, y) = C(x, y) + (0, - 2 · c)
C'(x, y) = (- 2, 4) + (0, - 8)
C'(x, y) = (- 2, - 4)
Translation
C''(x, y) = (- 2, - 4) + (3, - 1)
C''(x, y) = (1, - 5)
The resulting image of point C is C''(x, y) = (1, - 5).
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how would you classify the number 125?
a. perfect square
b. perfect cube
c. both
d. none
Answer:
A perfect cube *sorry*
Step-by-step explanation:
125 squared is not possible
125 cubed = 5*5*5
whats 2+2x (7/7)= to
Answer:
2+2x(7/7)= 0 (you do what's in the parenthesis first)
2+ 2x (1) =0 (then you multiply, and anything times 1 is itself)
2 + 2x= 0 (subtract 2 from both sides to get the x-term alone)
2x= -2 (divide both sides by 2 to get x isolated)
x= -1 (is your answer)
Answer this question quickly plz
Answer:
a.
1 quarter=0.25
240*0.25=60
again,
b.349/60=5.81 weak
Answer:
Step-by-step explanation:
a) he saves £60 per week
b) 60 x 6= 360
he needs to save £60 for 6 weeks to have enough money to buy a bike
Which of the following statements must be true if AGHI AJKL? Select all the apply.
Answer:hellos 6
Step-by-step explanation:
Isthsjsh
what is the range of the function graphed below?
Write in slope intercept form . y+4=−12(x−2)
Answer:
20
Step-by-step explanation:
y+4=−12(x−2)
Step 1: Add -4 to both sides.
y+4+−4=−12x+24+−4
y=−12x+20
can someone please answer this quickly?
2(6p-5) 30p - 8) -1
thank you!
Answer:
21
Step-by-step explanation:
6/17
2
The equation F = 9/5 C + 32 is used to convert Celsius temperature to Fahrenheit
temperatures. C is the temperature in degrees Celsius. What is the temperature in
degrees Fahrenheit when the temperature in 35 in Celsius?
76
59
67
95
Answer:
the answer 95 degrees
Step-by-step explanation:
9/5*35*+32
At a carnival game, the chance of winning a prize is 0.45. Kylee plays the game 3 times. Using the table, what is the probability that she wins at most 2 prizes?
0.09
0.33
0.58
0.91
The probability of winning one prize in 3 attempts is P = 0.41.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, the chance of winning a prize is 0.45, Kyle plays the game 3 times. we need to find the probability that she wins at most 2 prizes
Out of 3 attempts, the probability of winning one prize is:
P(1) = (0.45)x(0.55)²p
where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.
Then the probability is:
P(1) = (0.45)x(0.55)²x3 = 0.41
Hence, the probability of winning one prize in 3 attempts is P = 0.41,
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Answer: D 0.91
Step-by-step explanation:
Add 0.17 + 0.41 + 0.33 = 0.91
To get 0.17:
0.41 + 0.33 + 0.09 = 0.83
1 - 0.83 = 0.17
:)
Solve for y: 20x + 4y = 28
Answer:
y = 7 - 5x
Step-by-step explanation:
20x + 4y = 28
4y = 28 - 20x
y = 28/4 - 20x/4
y = 7 - 5x
-TheUnknownScientist
can you guys help me plss? I’ve been stuck in this one
Answer:
Restaurant A maybe because its the one with the least amount of money charged and guests.
Step-by-step explanation:
What is the problem to 20x40+50?
Answer: 130
Step-by-step explanation:
20 X 40 = 80 + 50. = 130