Answer:
The initial value, b = $3.50 is the skate rental fee
The rate of change, 'm' is $3.0 is the hourly rate charged by the roller skating rink
Step-by-step explanation:
From the question we have;
The charges of the roller skating rink = A skate rental fee + An hourly rate
The total cost to skate for 2 hours = $9.50
The total cost to skate for 5 hours = $18.50
The relationship between the total cost of skating and the duration in hours = Linear relationship
Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;
The form of the equation is y = m·x + b
Where;
m = The rate of change of the linear relationship
b = The initial value (y-intercept)
When x = 2, y = 9.50
Therefore, we can write;
9.50 = 2·m + b...(1)
When x = 5, y = 18.50
Therefore, we can write;
18.50 = 5·m + b...(2)
Subtracting equation (1) from equation (2) gives;
18.50 - 9.50 = 5·m - 2·m + b - b = 3·m
9.0 = 3 × m
∴ m = 9.0/3 = 3.0
The rate of change, m = 3.0
Similarly, we have;
From equation (1), we get;
9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b
9.50 = 6.0 + b
∴ b = 9.50 - 6.0 = 3.50
The initial value = 3.50
Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.
PLEASE HELP due in a few hours!!
Answer:
75 meters²
Step-by-step explanation:
4 cm= 5 m
12 cm= 15 m
15×5=75
Area of Patio=75 m²
15. JAGUARUNDI A jaguarundi springs from a fence post to swat at a low flying bird.
Her height h in feet can be modeled by the equation h = -161? + 22.31 + 2,
where t is time in seconds. Use the discriminant to determine if the jaguarundi
will reach the bird if the bird is flying at a height of 10 feet. Explain.
Answer:
The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird
Step-by-step explanation:
From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;
h = -16·t² + 22.3·t + 2
Where;
t = The time (duration) in seconds
The discriminant of the equation a·x² + b·x + c = 0 is b² - 4·a·c
When h = 10, we have;
10 = -16·t² + 22.3·t + 2
∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8
The discriminant of the given quadratic equation is given as follows;
The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0
Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10
The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.
The Jaguarundi will not reach the bird flying at the height of 10 feet.
Answer:
No, the Jaguarundi will not reach the bird
Step-by-step explanation:
The equation is
[tex]h=-16t^2+22.3t+2[/tex]
When h = 10 feet
[tex]10=-16t^2+22.3t+2[/tex]
[tex]\Rightarrow -16t^2+22.3t-8=0[/tex]
[tex]a=-16[/tex]
[tex]b=22.3[/tex]
[tex]c=-8[/tex]
Discriminant is given by
[tex]b^2-4ac=22.3^2-4(-16)(-8)[/tex]
[tex]\Rightarrow b^2-4ac=-14.71[/tex]
[tex]\Rightarrow b^2-4ac<0[/tex]
So, the Jaguanrundi will not reach the bird as the roots will be imaginary.
write an equivilent expression that is equivilent to 4(w+3)-2
Answer:
4w + 10
Step-by-step explanation:
If you have any questions feel free to ask
answer: 4w+10
explanation:: distribute;
= (4)(w)+(4)(3)+−2
= 4w+12+−2
combine like terms;
= 4w+12+−2
= (4w)+(12+−2)
= 4w+10
Help please show work how to get the answer.
Answer:
A or D
Step-by-step explanation:
Help I don’t know this you dont have to explain:]
The total cost next year will be: $10,613.10
Solving:
The total cost of this year
Simply just add up everything that has been given which wouold give you 10,405
The total cost of next year
multiply the total cost of this year by 1.02 to find what the cost would be with a 2% increase which should give you 10,613.1
What is the theoretical probability of rolling a 3 on a die?
Answer:
1/6 or 16.67% chance
Step-by-step explanation:
Assuming its a normal six sided dice. You would have a 16.67% chance of getting a 3.
210 oranges, 252 apples, 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?
Answer:
42
Step-by-step explanation:
Given that,
210 oranges, 252 apples, 294 pears are equally packed in cartons so that no fruit is left.
The factor of 210 = 2×3×5×7
The factor of 252 = [tex]2^{2}\times 3^{2}\times 7[/tex]
The factor of 294 = [tex]2\times 3\times 7^{2}[/tex]
We need to find the biggest possible number of cartons needed. It can be calculated by taking HCF of the above numbers.
The HCF of 210, 252 and 294 = 2×3×7
= 42
Hence, 42 is the biggest possible number of cartons needed.
This is a 3rd grade math question. I don't know how to explain it to a 9yr old
this is 3rd grade math? jesus..
Answer:
that poor 3rd grader O.O that is hard
Step-by-step explanation:
online
The Willis Tower In Chicago is 1,451 FEET tall. The Transamerica Pyramid is San Francisco is 10,236 INCHES tall. How do these two compare?
Answer:
Willis Towers is 1.7 times bigger than the Transamerica pyramid
Step-by-step explanation:
The Willis Tower In Chicago is 1,451 FEET tall. The Transamerica Pyramid is San Francisco is 10,236 INCHES tall. How do these two compare?
Note that
1 foot = 12 inches
We convert the height of willis tower to inches
1 foot = 12 inches.
1,451 feet = x inches
Cross Multiply
x = 1451 × 12 inches
x = 17412 inches
Comparing the two buildings
Willis Tower : Transamerica pyramid
1,7412 inches : 10,236 Inches
= 1.7010550996 : 1
Therefore,
Willis Towers is 1.7 times bigger than the Transamerica pyramid
Can someone please help me figure this out, thanks!
Answer:
The set of numbers that could not represent the three sides of a right triangle are;
{9, 24, 26}
Step-by-step explanation:
According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;
r² = x² + y²
Where;
r > x, r > y
Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;
Set 1;
95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle
Set 2;
82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle
Set 3;
26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle
Set 4;
39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle
A triangular pane of glass has a height of 30 inches and an area of 240 square inches. What is the length of the base of the pane?
240÷30=8
8×30=240
30 height 8 with
Please help with numbers 7 and 8.
Answer:
Below
Step-by-step explanation:
Every triangle should add up to 180 degrees,
This is a right triangle because it has the square in the corner meaning it is 90 degrees.
39 + 90 = 129
180 - 129 = 51 degrees
A: 51 degrees
C: 90 degrees
Answer:
a. 51 degrees
c. 90 degrees
I think
What is the surface area of this right rectangular prism with dimensions of 8 inches by 4 inches by 14 inches?
Answer:
400 inches
Step-by-step explanation:
Area of all sides and add them
Shelly has $300 to shop for jeans and sweaters.
Each pair of jeans cost $65, each sweater costs $34,
and she buys 7 items. Determine the number of
pairs of jeans and sweaters Shelly bought.
Shelly bought three pairs of jeans and sweaters.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Shelly is given $300 to spend on jeans and sweaters.
Each pair of pants is $65, each sweater is $34, and she purchases seven pieces.
As per the given question, the required solution would be as:
She could buy three pairs of jeans and three sweaters since any more would be insufficient because three pairs of jeans and three sweaters would equal $297.
65 x 3 = 195
34 x 3 = 102
Therefore, Shelly bought three pairs of jeans and sweaters.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
#SPJ2
On Wednesday It reined 2 1/2 inches this was of on inch more than how much it rained the week before. What was the rainfall amount the week before ?
-PLEASE SOLVE-
I think the answer is 4 but I’m not sure!! PLEASE HELPP!
Answer:
4) -3
Step-by-step explanation:
The minimum y value of this absolute value function is -3
i don't understand. please help
Answer: 5m
Step-by-step explanation:
The Initial water level means that level amount when the time equal to 0hrs, which is 5m.
Finish the table using
the equation.
Anyone help please ! ?
Answer:
y = 0.5, 1, 1.5, 2
Step-by-step explanation:
x is twice as much as y, so when you multiply the input for y by 2, it should get the value of x. Example: if y is 1, then x is 2, because 1*2 = 2
hope this helped!
Jace went shopping for a new video game. The listed price of the video game was $41,
but the price with tax came to $44.28. Find the percent sales tax.
Answer:
It would be 8% .
Good luck ^^
One of the objectives for this lesson is to find the length of a curve using the z score.
Answer:
The answer is "True".
Step-by-step explanation:
The z-score value shows how often standard deviations were away from the earth. If it is 0, it is on average. The positive Z sign indicates that perhaps the raw mark is greater than the average. While z-score is equivalent to +1, for example, it is a standard deviation of 1 above average. This can be used for implementing series and also for comparing the trend of mortality among various individuals or between various periods and by using the z score we find the curve length, that's why it is correct.
1. GASOLINE The table gives the cost of a gallon of gasoline at two stations. How much more does gasoline cost at Gas For Less than at Cut-Rate? Cut-Rate 2.x + 3.5 Gas for less V12
Answer:
GASOLINE The table gives the cost of a
gallon of gasoline at two stations.
How much more does gasoline cost at
Gas For Less than at Cut-Rate?
Step-by-step explanation:
18 x 1/6 simplify if can thank u
Answer:
3
Step-by-step explanation:
[tex]18*\frac{1}{6} \\\\3[/tex]
Answer:
=3x
Step-by-step explanation:
18x^1 / 6
=3x
Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks was 20, and the mean was 21. Which list could show the number of miles Korey ran each of the five weeks?
Options:
A. 18, 20, 20, 22, 25
B. 20, 20, 20, 25, 25
C. 16, 19, 21, 22, 22
D. 20, 20, 21, 22, 22
Answer:
A. 18, 20, 20, 22, 25
Step-by-step explanation:
Required
Which list has a mean of 21 and median of 20
Each of the list have 5 numbers and they've all been sorted.
The median is the number at the 3rd position (i.e. the middle number)
So, list C and D are out because they do not have a median of 20.
Next, calculate the mean of lists A and B
[tex]\bar x = \frac{\sum x}{n}[/tex]
A. 18, 20, 20, 22, 25
[tex]\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}[/tex]
[tex]\bar x = \frac{105}{5}[/tex]
[tex]\bar x = 21[/tex]
B. 20, 20, 20, 25, 25
[tex]\bar x = \frac{20 + 20 + 20 + 25 + 25}{5}[/tex]
[tex]\bar x = \frac{110}{5}[/tex]
[tex]\bar x = 22[/tex]
Only list A has a median value of 20 and a mean value of 21
HELPPP (will mark brainliest)
Vera wants to prove that any rectangle is also a parallelogram.
B
A
D
Select the appropriate rephrased statement for Vera's proof.
Choose 1 answer:
Answer:
B
Step-by-step explanation:
I did it on khan academy
Jen has 3 bags of pears. Each Bag has 5 pears. If Jen gives the same number of pears to 4 friends, how many pears will each friend get?
3bags x 5 pearls per bag=15 bags
15 / (4 friends+you)=5
15/5=3 pearls per friend.
Answer:3 pearls per person.
Answer:
It is 3x5 is 15 the you divide 15 by 4 which is 3.75 per person
Step-by-step explanation:
3x5=15
15\4=3.75
Please help me and no links
Answer:
Sam's is nonsense and Kim's is sense
Step-by-step explanation:
why? because 1/3 and 1/6 are not equivalent. and 1/3 is greater. so therfore Kim's makes sense
Write the following answers in the form ' x/y or p%'
Answer
If Lucy instead invested her $20,000 in an account with 5% simple interest,
how much would she end up with after 10 years?
Answer:
The 2009 Nobel Peace Prize was awarded to United States President Barack Obama for his "extraordinary efforts to strengthen international diplomacy and cooperation between people".
Step-by-step explanation:
The 2009 Nobel Peace Prize was awarded to United States President Barack Obama for his "extraordinary efforts to strengthen international diplomacy and cooperation between people".
Evaluate the expression when b=4 and x=-2 .
b-4x
Answer:
12
Step-by-step explanation:
b-4x
Plug in 4 as b and -2 as x
= (4)-4(-2)
Multiply 4 and 2
= 4-(-8)
Two negatives make a positive
= 4+8
= 12
I hope this helps!
The circumference of a circle is 106.76 yards. What is the circle's radius?
Answer:
The answer is 16.99
Answer:
It's 17!
Step-by-step explanation: