A rideshare service charges a flat fee of $6.00, plus $1.50 for every mile driven. Let t represent the total cost of the ride, and m represent the number of miles driven. Determine the dependent and independent variables, write an equation to represent this relationship, and then complete the table to show the total cost for riding 3 to 10 miles.
Answer:
The independent variable is m, while the dependent variable is t.
Step-by-step explanation:
What is the independent variable?An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.
What is the dependent variable?The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.
Write an equation representing this relationship:t = $6 + ($1.50 x m)
Complete the table to show the total cost for riding 3 to 10 miles:3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)
4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)
5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)
6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)
7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)
8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)
9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)
10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)
WILL MARK BRAINLIEST
Answer:
The sum of the given sequence is 180Step-by-step explanation:
Find each term
t₁ = 2*1 + 7 = 9t₂ = 2*2 + 7 = 11t₃ = 2*3 + 7 = 13...t₉ = 2*9 + 7 = 25t₁₀ = 2*10 + 7 = 27The series is
9, 11, 13, ..., 25, 27The sum of series can be shown as
9 + 11 + 13 + ... + 25 + 27Find the sum
S₁₀ = 10/2*(9 + 27) = 5*36 = 180Answer:
180
Step-by-step explanation:
The given series means to sum the first 10 terms of the sequence [tex]a_t=2t+7[/tex]
[tex]\begin{aligned}\displaystyle \sum^{10}_{t=1}2t+7 & = (2 \cdot 1+7)+(2 \cdot 2+7)+...+(2 \cdot 9+7)+(2 \cdot 10+7)\\ & =2(1+2+...+9+10)+10(7)\\\\& = 2(1+2+...+9+10)+70\\\\ & = 2(55)+70\\\\& = 110+70\\\\ & = 180 \end{aligned}[/tex]
H The price of a 2 pack Mini Brands is no more than $15. Write an inequality to represent this scenario.i
In which of the following do you expect the correlation coefficient to be negative?
This is my last question I need please help
Answer:
The graph I expect to have a negative correlation is the third graph.
Step-by-step explanation:
Positive correlation is when the the x-values increase with a corresponding increase in y-values.
Negative correlation is when the x-values increases with a corresponding decrease in y-values.
No correlation is when only x or y variable changes.
From the graphs given the only one that has a negative correlation is the third graph.
PLEASE HELP?! IM SO SORRY I AM NOT GOOD AT MATH
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
Shade the mode model. Then write the decimal.
Answer:
no picture
Step-by-step explanation:
just search it up
Type in your answer:
X = ?
Angle KPN =?
Angle NPO =?
Answer:
x=31
KPN =62
NPO=28
Step-by-step explanation:
KPO = 90(right angle) =2x + (x-3)
3X=90+3
X= 31
NPO = 31-3
NPO=28
KPN = 2*31
KPN =62
what is a logarithm?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x,
So in other words, a logarithm is the power to which a number must be raised in order to get some other number . For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.
Hope this helps. Have a good day!
The local animal shelter had 12 dogs at the beginning of the month. Since then, the number of dogs at the shelter has decreased by 75%. How many dogs are at the animal shelter today?
Answer:
3
Step-by-step explanation:
75% is equal to 3/4
The easiest way to do this is to divide 12 by 4.
12/4 = 3
Now multiply this by three to get 3/4 of 12.
3 x 3 = 9
9 dogs left the shelter.
12 - 9 = 3
There are three dogs left.
HELP PLEASE!!!! What is the product? Assume x> 0. ( square root of 3x + square root of 5) ( square root of 15x + 2 square root of 30)
Answer:
3x√5 + 5√3x + 6√10x + 10√6 (Option 2)
Step-by-step explanation:
Applying the distributive property :
⇒ (√(3x) + √5)(√(15x) + 2√30)
⇒ √(3x)√(15x) + √5√(15x) + √(3x)(2√30) + √5(2√30)
⇒ √45x² + √75x + 2√90x + 2√150
⇒ 3x√5 + 5√3x + 6√10x + 10√6
Let's see
(√3x+√5)(√15x+2√30)√3x(√15x+2√30)+√5(√15x+2√30)√45x^2+2√90x+√75x+2√150√9×5x²+2√(9×10)x+√25×3x+2√1503x√5+6√10x+5√3x+10√6Option B
Identify the pattern of the following sentences
1. I've already told the detective what I know about it.
2. They were very excited.
3. The police have identified the robbers.
4. I was eating a sandwich for lunch.
5. My cousin painted quite badly.
6. They are going to eat-out.
7. She never gives up.
8. I bought a drink for her.
9. The company has offered me a good job.
He usually spends all his money.
The pattern of the sentences are:
1. Subject + verb + object
2. Subject + verb.
3. Subject + verb + object
4. Subject + verb + adjectives.
What is Sentence pattern?Sentence patterns is known to be a sentence that is said to be made of up of phrases and also clauses.
Therefore, The pattern of the sentences are:
1. Subject + verb + object
2. Subject + verb.
3. Subject + verb + object
4. Subject + verb + adjectives. is correct.
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Given the function = f(x) = 2x - 5, solve f(x) = 7.
Answer:
f(7) = 9
Step-by-step explanation:
f(x) = 2x - 5, solve f(x) = 7.
f(7) = 2(7) -5
f(7) = 9
The angle of depression of the top and the foot of a flagpole as seen from the top of a building 145 metres away are 26° and 34° respectively. Find the heights of the pole and the building.
The height of the pole and the building are 27.1 meters and 97.8 meters respectively.
How to find the height of the pole and the building?The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,
Therefore,
tan 34 = opposite / adjacent
tan 34 = h / 145
h = 145 tan 34
h = 145 × 0.67450851684
h = 97.8037349422
Therefore,
height of the building = 97.8 meters
tan 26 = x / 145
x = 145 tan 26
x = 70.721225342 meters
Therefore,
height of the flagpole = 97.8 - 70.7 = 27.1 meters
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In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.
Answer:
O is in between m and p so it is 6
Step-by-step explanation:
In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.
Shawna says her mug holds 100 milliliters.
Shelly says that the mug holds 1 liter.
Is Shelly correct?
Answer:
In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no
The points 1 , B and ( are (9 , 8) , ( 12, 4) and (4, - 2) respectively
(a) Find
(1)
the gradient of the line through d and B
(¡i)
the equation of the line through C which is parallel to AB
(b) Calculate the length of the line segment
(i)
[21
(11)
BC
[21
(c) Show that AB is perpendicular to BC 121
(d) Calculate the area of triangle ABC
[1)
Answer:
a.i.
[tex]mab = \frac{ya - yb}{ xa - xb} = \frac{8 - 4}{9 - 12} = \frac{4}{ -3} [/tex]
a.ii.
[tex]mc = mab = \frac{4}{ - 3} \\ (y - y1) = m(x - x1) \\ y - ( - 2) = \frac{4}{ - 3}(x - 4) \\ y + 2 = \frac{4}{ - 3}x + \frac{16}{3} \\ y = \frac{4}{ - 3} x + \frac{16}{ 3} - 2 \\ y = \frac{4}{ - 3}x + \frac{10}{3} [/tex]
Match the numbers with the correct label.
Answer:
a = 1/7b = 0.2c = 3/9Step-by-step explanation:
Converting all fractions to decimal (for easier comparison) :
0.21/7 = 0.143/9 = 0.33Hence,
First point (a) = 1/7Second point (b) = 0.2Third point (c) = 3/9They had taken 8 galons of water along the bus. If there were 62 sixth graders and 2 teachers how many cups did each person get
Answer:
2
Step-by-step explanation:
8gallons=16 cup
8x16=128
62+2=64
128÷2=64
Please help me do this question mathematics expert
Answer:
[tex]\textsf{i)} \quad \text{T} &=2 \pi r^2 + \dfrac{26}{r}[/tex]
ii) radius = 1.27 cm (3 sf)
height = 2.55 cm (3 sf)
Step-by-step explanation:
[tex]\text{Volume of a cylinder}=\pi r^2 h \quad \text{(where r is radius and h is height)}[/tex]
Given volume = 13 cm³, rewrite the equation making h the subject:
[tex]\implies 13=\pi r^2 h[/tex]
[tex]\implies h=\dfrac{13}{\pi r^2}[/tex]
Substitute found expression for h into the Surface Area equation to find the expression for the total surface area, T:
[tex]\begin{aligned}\text{Surface Area of a cylinder} & =2 \pi r^2 + 2 \pi r h\\\implies \text{Surface Area} & =2 \pi r^2 + 2 \pi r \left(\dfrac{13}{\pi r^2}\right)\\& =2 \pi r^2 + \dfrac{26 \pi r}{\pi r^2}\\ \implies \text{T} &=2 \pi r^2 + \dfrac{26}{r}\end{aligned}[/tex]
To find the radius of the minimum surface area, differentiate T with respect to r:
[tex]\begin{aligned}\text{T}& =2 \pi r^2 +26r^{-1}\\\implies \dfrac{dT}{dr} & =(2)2 \pi r^{(2-1)}+(-1)26r^{(-1-1)}\\ & =4 \pi r-26r^{-2}\\ & =4 \pi r-\dfrac{26}{r^2}\\ & = \dfrac{4 \pi r^3-26}{r^2} \end{aligned}[/tex]
Set it to zero, and solve for r:
[tex]\begin{aligned}\dfrac{dT}{dr} & = 0 \\\implies \dfrac{4 \pi r^3-26}{r^2} & = 0 \\\impliles 4 \pi r^3-26 & = 0 \\4 \pi r^3 & = 26 \\r^3 & = \dfrac{13}{2 \pi} \\r & = \sqrt[3]{\dfrac{13}{2 \pi}} \end{aligned}[/tex]
To find the height, substitute the found value of r into the equation for height (found previously):
[tex]\begin{aligned}h & =\dfrac{13}{\pi r^2} \\\implies h & =\dfrac{13}{\pi \left(\sqrt[3]{\dfrac{13}{2 \pi}}\right)^2} \\& =2.548499134\end{aligned}[/tex]
Therefore,
radius = 1.274249567... = 1.27 cm (3 sf)height = 2.548499134... = 2.55 cm (3 sf)I need some help with this question.
Answer:
#1 d #2 c
Step-by-step explanation:
to get these answers I just did the math on all of them
What is the surface area of the cylinder with height 4 km and radius 5 km? Round
your answer to the nearest thousandth.
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(4+5)\implies SA=10\pi (9) \\\\\\ SA=90\pi \implies SA\approx 282.743~km^2 \end{array}[/tex]
Amortization for 2021, $3.Record on adjusting entry
The adjusting entry for the Software of Northland Physical Therapy is as follows:
Adjusting Journal Entry:December 31, 2018:
Debit Amortization Expense $3
Credit Accumulated Amortization $3
To record the amortization expense for the year.What is an Adjusting Entry:An adjusting entry for Amortization records the amortization expense for the period, which is debited. It also credits the Accumulated Amortization, increasing the amount of the amortization expense.
For instance, the Amortization Expense for Northland Physical Therapy's Software is recorded as above.
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I need to solve for X
Check the picture below.
The radius of a circle is 1 meter. What is the circle's area?
r=1 m
Use 3.14 for л.
square meters
Answer:
A= 3.14
Step-by-step explanation:
The formula for finding the area of a circle is A= π r²
A= 3.14*1²
Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.
Answer:
Step-by-step explanation:
A submarine begins 300 feet below sea level. It makes four moves of 30 feet each
toward the surface. How many more feet does the submarine need to move to reach
the surface?
Answer:
180 feet
Step-by-step explanation:
Starting number is 300. Four moves of 30 feet is 120 feet.
30x4 = 120
300-120 = 180
Answer:
180 feet.
Step-by-step explanation:
Remark
You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?
Equation
Distance to go = distance in feet below sea level - number of moves * feet / move.
Givens.
original distance below sea level = 300 feet.
number of moves = 4
distance towards the surface for each move = 30 feet.
Distance to go. = ?
Solution
Distance to go = 300 - 4*30
Distance to go = 300 - 120
Distance to go = 180 feet
What is the mean of 7, 10, 13, 4, 12, 21, 10, 3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the mean of 7, 10, 13, 4, 12, 21, 10, 3?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
❖ First, add all the numbers together:-
7+10+13+4+12+21+10+3
Addition results in:-
80
Now divide by how many numbers there are (here we have 8):-
80÷8=10
So we conclude that the mean is 10.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
need help I don’t know what to do please help !!
Answer:
Yes, because the monthly service fee is approximately the same each month.
Step-by-step explanation:
At one month, the service fee is around $50, then from month one to month two the service fee is around $50, and so on. Just focus on the line and the points it makes in respect to the month to cost ratio.
3.
Given: AC = 4x-29
A 19 B 2x-18
X=
AC =
BC=
C
A collectors item is purchased for $150 and it’s value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double
Answer:
we are given A collector’s item is purchased for $150so, its value increases by 3% each yearso, t is time in yearsLet's assume cost of item after t years is C(t)so, we can use formula now, we can plug values so, equation is After doubling C(t)=2*150=300so, we can set C(t)=300and then we can solve for twe get so, doubling time is 23.44977 years
Answer:
B works ; it starts at 150, is positive, and slowly reaches 300
Step-by-step explanation:
Edge