Answer: To determine whether the distance the puck travels per second is constant, we can use the concept of average speed. Average speed is defined as the total distance traveled divided by the time it takes to travel that distance.
If the average speed is constant, then the distance the puck travels per second is also constant. If the average speed is not constant, then the distance the puck travels per second will vary.
To determine the average speed, we need to know the total distance traveled and the time it took to travel that distance. Once we have this information, we can calculate the average speed by dividing the total distance traveled by the time it took to travel that distance. If the resulting value is constant, then the distance the puck travels per second is also constant.
Step-by-step explanation:
What is the volume of the rectangular prism? Please Help
Answer:
60 cm cubed I think
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
use the Area formula
L*W*H
3*5*4=60
WHAT IS A PRICE OF A 7 - MINUTE DIAL DIRECT CALL TO NEW YORK, NY, WHEN YOU
CALL IN THE EVENING?
The price of a seven minute call direct to New York, in the evening, is given as follows:
$5.82.
How to obtain the cost of the call?The cost of the call is obtained considering the information given in the table, for which the proportions are applied.
We have a direct call, meaning that it is a person-to-person call, thus the flat rate is of $3.00 per minute.
Then the minute proportions, considering that the call happens in the evening, are given as follows:
First minute: 0.38 of $3.Each additional minute: 0.26 of $3.A seven minute call is composed by six additional minutes after the first, hence the total cost is obtained as follows:
0.38 x 3 + 6 x 0.26 x 3 = $5.82.
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determine the area of the parallelogram below
Answer:
A= BH
A=8cm ×2.2 cm
A= 17.6cm²
What is the scale factor? Will mark brainlest
Answer:
The answer is -1
Step-by-step explanation:
Please help me with this question
Answer:
cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)
Step-by-step explanation:
You want cos(x -π/3) written in terms of sine and cosine.
Angle differenceThe formula for the cosine of the difference between two angles is ...
cos(a -b) = cos(a)cos(b) +sin(a)sin(b)
ApplicationWe have a=x, b=π/3, so the desired function is ...
cos(x -π/3) = cos(x)cos(π/3) +sin(x)sin(π/3)
We know that ...
cos(π/3) = 1/2sin(π/3) = √3/2so the rewrite is ...
cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)
Which graph is represented by the equation (X + 3)2 + (y – 4)2 = 9?
Unit test
Answer:
center (2, -3)
radius r = 3
Graph c
Step-by-step explanation:
Answer:
Graph A on edge
Step-by-step explanation:
What is the vertex form to standard form?
Answer:
[tex]y=x^2+2x-2[/tex]
Step-by-step explanation:
Vertex Form:Vertex form is expressed as: [tex]y=a(x-h)^2+k[/tex], and is super useful when analyzing the vertex, which is given to be (h, k).
Standard Form:Standard form is expressed as: [tex]y=ax^2+bx+c[/tex], and is also useful in certain cases.
Converting Vertex to Standard Form:When converting standard to vertex we have to complete the square to rewrite the equation using a perfect square binomial, which is what really distinguishes the two. Now when we want to convert back into standard form, we simply need to get rid of this perfect square binomial, which we can do by expanding out the perfect square binomial into a trinomial.
So in other words, we want to multiply out the following: [tex](x+1)(x+1)[/tex], which becomes: [tex]x^2+2x+1[/tex] which you can solve by using polynomial multiplication, which is essentially just extending the logic of the distributive property. In general when given two polynomials to multiply, you look at one polynomial, and then multiply it by each term in the other polynomial, now repeat this for each term in the polynomial you were initially looking at. I'll provide a picture to better illustrate this. You can use FOIL if it helps you with multiplying binomials, but remembering how to generally use it, will help you when multiplying polynomials in general.
Now that we've multiplied out the expression, we can substitute it into the equation: [tex]y=x^2+2x+1-3[/tex], now just combine the constants: [tex]y=x^2+2x-2[/tex], and now you've converted it into standard form!
I NEED HELP. PLEASE ANSWER QUICK. BRAINLIEST WILL BE GIVEN. THERE IS A BOT AUTO ANSWERING. PLEASE ANSWER ANYWAY
Answer:
The answer is A
Step-by-step explanation:
The shape is a rhombus when plotted on a quardanent plane. The shape is similar to a diamond.
2. Two sidewalks in a park are represented by lines on a coordinate grid.
Sidewalk 1: 3x + 3y = 6
Sidewalk 2: y = x + 6
(a) Find the solution to the system of equations by using the substitution method.
(b) Show ALL of your steps.
Answer: x is -2 and y is 4 if needed (-2,4) is the origin form
Step-by-step explanation: first we take side walk one we subtract -3x on both sides then you get 3y=-3x+6 divide both by 3 you get y=-x+2 finally we can substitute. substitute y for x+6 you get x+6 = -x+2 do the inverse of -x on both sides you get 2x+6=2 do the inverse of 6 on both sides you get 2x=-4 divide 2 on both sides you get x=-2. substitute x of y=-x+2 to y=-(-2)+2 mult -1 x -2 is 2, 2+2 is four so y= 4 put that together x is -2 and y is 4
Mary is going down a straight waterslide that is 150 feet above the ground. The waterslide is 225 feet long. What is the angle of elevation with the ground to the top of the waterslide?round to two decimals places
Malcom wrote the equivalent ratios shown below. Find the scale factor he used to write the equivalent ratios
9/40 and 54/240
In this question, we're looking for the number Malcom used to scale the two numbers. We can see there's a pattern, 9 is 1/6 of 54 and 40 is 1/6 of 240!
(54 divided by 9 is 6 and 240 divided by 40 is 6!)
therefore, the scale factor must be 6
how many sides does a polygon have whose total number of diagonals is 20?
Answer:
there would be 8 sides if there are 20 diagonals
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.65 hours, with a standard deviation of 2.43 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.37 hours, with a standard deviation of 1.73 hours. Construct and interpret a 90% confidence interval for the mean difference in leisure time between adults with no children and adults with children. (u1 - u2)
Let u1 represent the mean leisure hours of adults with no children under the age of 18 and u2 represent the mean leisure hours of adults with children under the age of 18. The 90% confidence interval for (u1 - u2) is the range from (???, ???) round to 2 decimals
Answer:
The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
Step-by-step explanation:
Given the data in the question;
Adult with No children under 18 Adult with children under 18
x"₁ = 5.65 x"₂ = 4.37
s₁ = 2.43 s₂ = 1.73
n₁ = 40 n₂ = 40
with 90% confidence
significance level ∝ = 1 - 90% = 1 - 0.9 = 0.1
Degree of freedom df = 39
Now, since variance are not equal and are also unknown, we will use 2 sample t-distribution method;
Standard Error: σx"₁ - x"₂ = [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]
Critical value = [tex]t_{\alpha /2, df[/tex] = [tex]t_{0.05, df=39[/tex] = 1.645 { from standard normal table }
Now,
Margin of Error = E = [tex]t_{\alpha /2, df[/tex] × [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]
we substitute
E = 1.645 × [tex]\sqrt{\frac{2.43^2}{40} + \frac{1.73^2}{40} }[/tex]
E = 1.645 × √( 0.1476225 + 0.0748225 )
E = 0.7758478
Now, our point difference will be; x"₁ - x"₂ = 5.65 - 4.37 = 1.28
So Limit at 90% confidence interval will be;
x"₁ - x"₂ ± E
Lower Limit = x"₁ - x"₂ - E = 1.28 - 0.7758478 = 0.50415 ≈ 0.50
Upper Limit = x"₁ - x"₂ + E = 1.28 + 0.7758478 = 2.05584 ≈ 2.06
Therefore, The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
Please help me solve it
Step-by-step explanation:
D
HELP ME I'LL GIVE BRAINLIEST
DON'T YOU DARE STEAL THE POINTS OR I WILL HUNT YOU DOWN
11h+33
30p+15j
4p+8
i feel like im about to die, ur a lil scary
How many ways can you arrange 4 of 6 trophies on a shelf?
Answer:
24
Step-by-step explanation:
i did 4x6
4x6=24
the reason i did this is because that is how i do this the rest of the class has their fancy diagrams and are being hyponthageese and not listening to me to find that it is the easiest way to find the answer
At what time t was the instantaneous velocity equal to the average velocity? (Round your answer to one decimal place.)
Answer:
Instantaneous velocity can be equal to average velocity when the acceleration is zero or velocity is constant because in this condition all the instantaneous velocities will be equal to each other and also equal to the average velocity.
X
Let f(x) = 3x2 - 6x + 2. Find f(2)
A
B
10
16
C 12
E
D 2
8
On solving the provided question, we can say that - f(x) = 3x2 - 6x + 2, and the value of the equation f(x) = +2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
f(x) = 3x2 - 6x + 2
x = 1
f(x) = +2
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Which equation should be used to find the volume of the figure?
12 cm
13.cm
6 cm
10 cm
Answer:
O V=3(10XB)(12)
Step-by-step explanation:
Frank's father came home from San Francisco by airplane. He had to wait 1 hour and 45 minutes at the airport in San Francisco. Then Frank's
father had to wait another 35 minutes while the plane was in Portland.
How long did Frank's father spend waiting?
Answer:
2 hrs and 20 minutes
Step-by-step explanation:
45 + 35 = 80
-√8 - √54 + 2√6 how to simplify
Answer:
6√2
Step-by-step explanation:
-√2×2×2 -√2×3×3×3 + 2√3×3
-2√2 - 3✓6 + 2×3
-2√2 - 3√2×2 +2 + 6
6√2
Which of the following rational functions is graphed below?
Answer:
B
Step-by-step explanation:
Cuz I graphed it, and it looked the same
Multiply and combine like terms to determine the product of these polynomials. (2x – 3)(5x + 6)
Answer:
Step-by-step explanation:
(2x – 3)(5x + 6)
10x2 + 12x - 15x - 18
10x2 - 3x - 18
The product of the given polynomials is 10x² - 3x - 18
What is a polynomial?A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
The given polynomials are:
(2x – 3)(5x + 6)
By multiplying the two polynomials, we get
10x² + 12x - 15x - 18
10x²- 3x - 18
Hence, 10x²- 3x - 18 is the product of the given polynomials.
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Equations of Exponential Functions
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000(1.08)t (ii) P = 600(1.12)t
(iii) P = 2500(0.9)t (iv) P = 1200(1.185)t
(v) P = 800(0.78)t (vi) 2000(0.99)t
Which town is growing the fastest?
a. i c. iv
b. iii d. vi
Please select the best answer from the choices provided
Answer:
C. iv
Step-by-step explanation:
I calculated it logically
Pls awnser this Giving brainlest to the right person that has the awnser
Answer:
top one is dependent
bottom is independent
Step-by-step explanation:
the amount of money you pay is based off of the amount of time on your subscription
Please help will mark Brainly
Answer:
x=-1 and y=4
Step-by-step explanation:
When you draw a graph you will see point of intersection which is solution
simplify expression: 3f+8(2m-7)
After simplification we got the above expression in the form 3f + 16m -56
What is simplify in mathematics?
The word "simplify" implies to turn something in a simpler form.
In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.
How to simplify the above expression?3f + 8(2m-7)
we rearrange the expression by removing the parenthesis.
we remove the parenthesis by multiplying the factors.
3f + 8 × 2m - 8 × 7
3f + 16m -56
the above expression has no like terms to add or subtract so it is kept in this form.
Hence, 3f + 16m -56 is the simpler form.
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($75,000 - $80,000) x (1 - .21)
Answer:
-3,950
Step-by-step explanation:
First -5,000(1-0.21)
Then multiply -5,000 x 0.79 = -3,950
Can a triangle have sides with the given lengths ? Explain . 1 ft , 2 ft , 4ft
Makayla has 2 yards of ribbon to use for a craft project she cuts the ribbon into pieces that are 1/4 yard long how many pieces of ribbon does Makayla have
Answer:
8
Step-by-step explanation:
2/ 1/4 = 8
Answer: 8
Step-by-step explanation: 2 / 1/4 = 8