Answer:
2nd one
Step-by-step explanation:
Graph-2 is correct line that represents the parking charge of the public garage.
What is a linear equation?A linear equation is an equation where the variable has the highest degree of 1.
Given, a public parking garage charges $5, plus an additional $2 per hour.
For 1 hour, the total cost will be = $(5 + 2 × 1) = $7.
For 2 hours, the total cost will be = $(5 + 2 × 2) = $9.
For 3 hours, the total cost will be = $(5 + 2 × 3) = $11.
For 4 hours, the total cost will be = $(5 + 2 × 4) = $13.
For 5 hours, the total cost will be = $(5 + 2 × 5) = $15.
Here, the increase in parking cost is in the form of linear equation and it increases $2 with the increase in every hour.
Therefore, graph-2 represents the actual line of cost of the parking charge and time.
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Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks
The amount of money saved by Andre in 40 weeks is $1280.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is Andre saves up the same amount of money each week.
We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -
y = mx + c
Then -
m = (288 - 224)/(9 - 7)
m = 64/2
m = 32
Now -
y = 32x + c
For the point (7, 224), we can write -
224 = 32 x 7 + c
c = 0
For {x} = 48, we can write the amount of money saved as -
y = 32 x 40
y = 1280
Therefore, the amount of money saved by Andre in 40 weeks is $1280.
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Does the following represent a function?
X
9
-20
-6
9
-18
0
1
16
17
19
Answer:
No, the given is not a function.
Step-by-step explanation:
I am confused if the last half of the numbers belong to a y value or not, but the answer is the same regardless.
If all numbers provided are "x", then no; the given does not represent a function. This is because the "x" value has duplicates, which indicates a non function.
Even if the last 5 numbers belong to f(x), or "y", the given is still not a function. the duplicated number is "9", and the 9's would be an x value regardless of the form of the given information.
45% of what number is 7.2
Hello!
45% of x = 7.2
45x/100 = 7.2
45x = 7.2 * 100
45x = 720
x = 720/45
x = 16
the number = 16
what is the perentage decrease from 3000 to 70
Answer:
Solution for What is the percentage increase/decrease from 3000 to 70:
(70-3000):3000*100 =
(70:3000-1)*100 =
2.3333333333333-100 = -97.67
Now we have: What is the percentage increase/decrease from 3000 to 70 = -97.67
Step-by-step explanation:
pls mark brainliest
Answer:
-97.67
Step-by-step explanation:
Esther and Gerald each investigated the effects of snake venom cream on arthritis symptoms. Separately, they both recruited volunteers and randomly divided them into two groups. Both of them administered snake venom cream to one group and a placebo cream to the other. Esther found that snake venom cream relieves arthritis symptoms, while Gerald found that it does not. Which of these statements is true?
Gerald performed an experiment because he randomly administered snake venom cream to some of the volunteers.
Gerald performed an observational study because he found that snake venom cream does not relieve arthritis symptoms.
Esther performed an observational study because she randomly administered a placebo cream to some of the volunteers.
How would i solve this problem example optional
a television regularly costs 200 dollars over a holiday weekend a store offers a discount of 60 dollars off the regular price what is the discount in terms of percent?
Please help
Answer:
30%
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
I'll be honest. I backtracked. The answer is 30 percent becaaaause you gotta multiply 200 x .3 and you get 60. There ya go.
a force of 1 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length?
To stretch a spring from its natural length to 0.6 feet beyond its natural length, a work of 0.36 foot-pounds is required.
The work done in stretching a spring is equal to the area under the force-extension graph. Since the force required to hold the spring stretched 0.2 feet beyond its natural length is 1 pound, we can assume that the force required to stretch the spring from its natural length to 0.6 feet beyond its natural length is directly proportional to the extension. Therefore, the force required to stretch the spring 0.4 feet beyond its natural length is 2 pounds.
To calculate the work done in stretching the spring from 0.2 feet beyond its natural length to 0.6 feet beyond its natural length, we can use the formula for work:
Work = Force x Distance
Since the force required to stretch the spring 0.4 feet beyond its natural length is 2 pounds, and the distance over which the force is applied is 0.4 feet, the work done is:
Work = 2 x 0.4 = 0.8 foot-pounds
Therefore, the work done in stretching the spring from its natural length to 0.6 feet beyond its natural length is:
0.8 - 0.2 = 0.6 foot-pounds.
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for rayleigh winds with an average wind speed of 8 m/s: a. how many hours per year do the winds blow at less than 13 m/s? (5') b. how many hours per year are wind speeds above 25 m/s? (5')
A. 7658.8 hr/year
B. 4.082 hr/year
C. 99206 kwh
Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.
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Your dad is designing a new rectangular garden for your backyard. He has 26 feet of fencing to go around the garden. He wants the length of the garden to be 3 1/2 feet longer than the width. How long should he make the garden?
The length of the garden will be 14.75 feet.
What will the length be?It was illustrated that the dad has 26 feet of fencing to go around the garden.
Also, the person wants the length of the garden to be 3 1/2 feet longer than the width.
Let the width be given as x.
Therefore the length will be x + 3.5
This will be illustrated as:
x + x + 3.5 = 26
2x + 3.5 = 26
Collect like terms
2x = 26 - 3.5
2x = 22.5
Divide
x = 22.5 / 2
x = 11.25
Therefore, the length will be:
= x + 3.5
= 11.25 + 3.5
= 14.75 feet.
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please help with these
Answer:
Ste“Information science is the science and practice dealing with the effective collection, storage, retrieval, and use of information. It is concerned with recordable information and knowledge, and the technologies and related services that facilitate their management and use.
p-by-step explanation:
Find the point on the surface \( f(x, y)=x^{2}+y^{2}+x y+24 x+14 y \) at which the tangent plane is horizontal.
The point on the surface where the tangent plane is horizontal, determined by the critical points of the surface function, is \((\frac{-34}{3}, \frac{-4}{3})\).
The surface function is given by \(\(f(x, y) = x^{2}+y^{2}+xy+24x+14y\)\). To find the critical points, we need to find the partial derivatives of \(\(f\)\) with respect to \(\(x\)\) and \(\(y\)\) and set them equal to zero:
\(\(\frac{\partial f}{\partial x} = 2x + y + 24 = 0\)\)
\(\(\frac{\partial f}{\partial y} = 2y + x + 14 = 0\)\)
Solving these two equations simultaneously, we can find the values of \(\(x\)\) and \(\(y\)\) at the critical point. From the first equation, we have \(\(y = -2x - 24\)\). Substituting this into the second equation, we get \(\(2(-2x - 24) + x + 14 = 0\)\), which simplifies to \(\(x = \frac{-34}{3}\)\). Plugging this value back into the first equation, we find \(\(y = \frac{-4}{3}\)\).
Therefore, the critical point on the surface where the tangent plane is horizontal is \((\frac{-34}{3}, \frac{-4}{3})\).
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Polygon PQRS, shown in the figure, is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in polygon P'Q'R'S'. A polygon PQRS is plotted on a coordinate plane. The vertices P is at (10, 8), Q is at (6, 14), R is at (11, 16), and (15, 10). The slope of P'Q' is -1.5 . The length of P'Q' is approximately 5.39 .
Based on the above:
The slope of P'Q' is = -3/2
The length of P'Q' is approximately = \(\sqrt[3]{13}\)
What is the polygon about?The slope of P'Q'
= -6/4 = -3/2
The length of P'Q' =
P'Q' = \(\sqrt{6^2 + 4^2}\)
= \(\sqrt{52}\)
= \(\sqrt[2]{13}\)
Therefore;
P'Q' = \(\frac{3}{2}\)
P'Q' = \(\frac{3}{2}\) x \(\sqrt[2]{13}\)
= \(\sqrt[3]{13}\)
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Bob and Nina make dog leashes. Bob can make 7 leashes in 2 hours and Nina can make 4 leashes in 1 hour.
Enter an equation that can be used to find the number of hours, t, it takes Bob and Nina to make 60 leashes together. Enter your response in the first response box.
Enter the number of hours, t, it takes Bob and Nina to make 60 leashes together. Enter your response in the second response box.
Answer:
8 hours
Step-by-step explanation:
!:!
In EXACTLY 10 words, describe how to solve an equation.
Asking this so future students can see this and get the answer, because I am an idiot and cant figure this out on my own.
Answer:
1.Add or Subtract the same value from both sides.
2.Clear out any fractions by Multiplying every term by the bottom parts.
3.Divide every term by the same nonzero value.
4.Combine Like Terms.
5.Factoring.
6.Expanding (the opposite of factoring) may also help.
7.Recognizing a pattern, such as the difference of squares.
Step-by-step explanation:
the first garden is 4 feet long. Deja is using small bricks, which are each 1/3 of a foot long. How many small bricks are needed?
To build a garden of 4 feet Deja needs 12 small bricks.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, The first garden is 4 feet long the bricks Deja is using are each 1/3 of a foot long.
Therefore, the number of bricks required is,
= 4/(1/3).
= 4×(3/1).
= 12 bricks.
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Three chains, each 14 feet in length, are
linked end to end. Two longer chains of
equal length are added to make a total
length of 100 feet. What is the length of
one of the longer chains?
A. 29 ft
B. 36 ft
C. 42 ft
D. 58 ft
E. 72 ft
Answer:
29 feet
Step-by-step explanation:
14 × 3 = 42
100 - 42 = 58
58 ÷ 2 = 29
One of the longer chains is 29 feet long.
Hope this helps.
The position function of a particle moving in a straight line is s= 2t 2
+3
9
where t
is in seconds and s is in meters. Find the velocity of the particle at t=1.
The velocity of the particle at t=1 will be 4 m/s. Therefore, the velocity of the particle at t=1 will be 4 m/s.
Given, the position function of a particle moving in a straight line is s = 2t² + 3.
To find the velocity of the particle at t=1, we need to find the derivative of the position function with respect to time (t).Position function of the particle: s = 2t² + 3
Taking the derivative with respect to time (t), we get;
v(t) = ds/dtv(t) = d/dt(2t² + 3)v(t) = 4t
Therefore, the velocity of the particle at t=1 will be:
v(1) = 4(1) = 4
Thus, the velocity of the particle at t=1 will be 4 m/s.
Therefore, the velocity of the particle at t=1 will be 4 m/s.
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questions 6-10
maths functions
The intervals are shown below:
(6) x ∈ (- ∞, A] ∪ (O, + ∞).
(7) x ∈ (- ∞, A) - {O}.
(8) x ∈ (- ∞, O)
(9) x ∈ (C, + ∞)
(10) x ∈ (C, + ∞)
What are the intervals corresponding to the two functions?
In this question we must determine the intervals of x-values such that each condition is met and according to the information presented in the picture:
(6) f(x) ≥ g(x) - f(x) is greater than or equal to g(x) in two intervals: x ∈ (- ∞, A] ∪ (O, + ∞).
(7) f(x) · g(x) < 0 in two cases: f(x) < 0, g(x) > 0 and f(x) > 0, g(x) < 0. Then, the interval is x ∈ (- ∞, A) - {O}.
(8) f(x) · g(x) ≤ 0 in two cases: f(x) ≤ 0, g(x) ≥ 0 and f(x) ≥ 0, g(x) ≤ 0. Then, the interval is x ∈ (- ∞, O).
(9) f(x) · g(x) > 0 in two cases: f(x) > 0, g(x) > 0 and f(x) < 0, g(x) < 0. Then, the interval is x ∈ (C, + ∞).
(10) f(x) · g(x) ≥ 0 in two cases: f(x) ≥ 0, g(x) ≥ 0 and f(x) ≤ 0, g(x) ≤ 0. Then, the interval is x ∈ (C, + ∞).
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The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
This question is incomplete
Complete Question
A baker uses 5.5 Ibs of flour daily
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
Answer:
51.3 loaves of bread
Step-by-step explanation:
Converting 5.5 Ibs to oz (ounces)
1 Ibs =>12 oz
5.5 Ibs => x
Cross Multiply
12 × 5.5 => 88 oz
1 loaf of bread =>12 oz
Hence, in 1 day
12 oz =>1 loaf of bread
88 oz => x
x =>88 oz/ 12 oz
x => 7.3333333333 loaves of bread
Hence, he can make 7.3333333333 loaves of bread in 1 day
Hence, in 7 days
1 day => 7.3333333333 loaves
7 days => x
x => 7 × 7.3333333333 loaves
x => 51.333333333 loaves of bread
Approximately => 51.3 loaves of bread
Which is the better deal: $3.15 for 10 apples or $4.10 for 11 apples?
Answer:
3.15 for 10 is the better deal
Step-by-step explanation:
This is because $3.15 for 10 apples is worth 32 cents per apple. On the other hand, $4.10 for 11 apples is worth 37 cents per apple. And even though you're getting more apples it is costing you more per apple.
List 3 different ways to describe x
Answer:
Its called an Unknown number, a variable, and a letter.
Step-by-step explanation:
Top 2 answers came from algebra and then last came from preschool....obviously.
A sculptor cuts a pyramid from a marble cube with volume
t3 ft3
The pyramid is t ft tall. The area of the base is
t2 ft2
Write an expression for the volume of marble removed.
The expression for the volume of marble removed is (2t³/3).
The given information is as follows:
A sculptor cuts a pyramid from a marble cube with volume t^3 ft^3
The pyramid is t ft tall
The area of the base is t^2 ft^2
The formula to calculate the volume of a pyramid is,V = 1/3 × B × h
Where, B is the area of the base
h is the height of the pyramid
In the given scenario, the base of the pyramid is a square with the length of each side equal to t ft.
Thus, the area of the base is t² ft².
Hence, the expression for the volume of marble removed is given by the difference between the volume of the marble cube and the volume of the pyramid.
V = t³ - (1/3 × t² × t)V
= t³ - (t³/3)V
= (3t³/3) - (t³/3)V
= (2t³/3)
Therefore, the expression for the volume of marble removed is (2t³/3).
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at the movie theatre child admission is 6.50 and adult admission is 9.80 On Tuesday, four times as many adult tickets as child tickets were sold, for a total sales of 1279.60 How many child tickets were sold that day
We find that 28 child tickets were sold on Tuesday.
To determine the number of child tickets that were sold on Tuesday, let x be the number of child tickets that were sold. Then, the number of adult tickets sold was four times the number of child tickets sold. Thus, the number of adult tickets sold is 4x.
The cost of one child ticket is $6.50, and the cost of one adult ticket is $9.80. Therefore, the total sales can be represented by the equation:6.50x + 9.80(4x) = 1279.60
Simplifying this equation gives: 6.50x + 39.20x = 1279.60
Combining like terms, the equation can be further simplified to:
45.70x = 1279.60 Solving for x gives: x = 28
Therefore, 28 child tickets were sold on Tuesday
In conclusion, if we assume that the number of child tickets sold is x, then we can calculate the number of adult tickets sold to be 4x. By multiplying the number of child tickets sold by the price of one child ticket and the number of adult tickets sold by the price of one adult ticket and adding the two values together, we obtain the total sales equation. Using this equation, we solve for x by simplifying and combining like terms.
Therefore, we find that 28 child tickets were sold on Tuesday.
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Hi- So this is a simple question that I keep forgetting how to answer! HELPPPP
Ok so, The scale factor from Triangle A to Triangle B is 2, so Triangle B is 2 times bigger than Triangle A.
How much bigger is the area of Triangle B than the area of Triangle A?
HELPPPP
Answer:
4 times bigger
Step-by-step explanation:
1. The area of an object dilated by a scale factor (SF) will be equal to (SF)^2.
2. For example, let's say the base and height of Triangle A is 4 and 8. The area would be 16 units squared. The base and height of Triangle B would be 8 and 16. The area would be 64 units squared.
3. As you can see from the aforementioned example, the SF (2) was squared and then multiplied by 16 to get 64.
Therefore, Triangle B's area is 4 times bigger than Triangle A's area.
the heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. men the same age have mean height 69.3 inches with standard deviation 2.8 inches. (a) what is the z-score for a woman 56 inches tall?
dave is 15 years old and his uncle rob is three times as old. when dave will be 32 years old, his uncle rob will be
By considering ages and equations we have,
Uncle Rob will be 62 years old when Dave is 32.
Dave is listed as being 15 years old, while his uncle Rob is listed as being three times Dave's age. Rob's age as of right now may be calculated using the formula below:
Age of Rob is Dave times three.
Using Dave's age as a plug-in, we obtain following equations,
Rob's age is equal to 15 + 3 = 45.
Rob is currently 45 years old, according to this.
We need to know how many years it will be before Dave turns 32 in order to calculate Rob's age at that time. By deducting Dave's present age from his anticipated age, we may determine this:
Years from now = Dave's age in the future minus Dave's age currently
By entering the specified values, we obtain:
The number of years from now is equal to 32 - 15 = 17 years.
Dave will turn 32 in 17 years, according to this.
We may multiply Rob's current age by the number of years from now to determine his age at that point:
When Dave reaches the age of 32, Rob will be that age plus the number of years.
When we enter the calculated values, we obtain:
When Dave is 32 years old, Rob will be 45 + 17 years old, or 62 years old.
So, Dave uncle rob 's age will be 62 years old.
As a result, when Dave's age is 32, his uncle Rob's age will be 62.
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What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of length 3 feet ? Round to the nearest hundredth.
Group of answer choices
4 radians
0.25 radians
0.33 radians
36 radians
Answer: 0.25 radians
Step-by-step explanation:
The cost of producing pens is $5.00 to set up the machine and $0.10 per pen. Each pen sells for $0.30. How many pens must be sold for the cost of production to equal the income?
Answer:
x=25
Step-by-step explanation:
0.3x = 5+0.1x
0.3x-0.1x = 5
0.2x = 5
x = 5/0.2
x= 50/2
x=25
This graph shows the solution to which inequality?
5
(3,2)
5
(-3,-6)
O A. yx-2
OB. ysx-2
O c. y< x-2
OD. y -2
Answer:
letss seeee
Step-by-step explanation:
c.
The graph shows the solution to y ≥ 2 and y < x inequality.
we have:
y ≤ 2
y ≥ 2
x > 2
y > 2
The graph is limited by a line; y = 2 (red line).
The part corresponds to the part in which y > 2.
The line is continuous, so 2 is also included in the interval
y ≥ 2
Then to find if it is "less than" (<) or "less than or equal to" (≤):
Since the line that limits this interval. The line is y = x, it is a dotted line, the extreme is not included.
In summary:
y < x
Answer is B. y ≥ 2 and y < x
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