Answer: If she walks 7.7 klometers each day that would be 53.9 klometers each week
Step-by-step explanation:
Answer:
53.9 kilometers a week
Step-by-step explanation:
7.7 kilometers a day
7 days = 1 week
7 days * 7.7 kilometers = 53.9 kilometers per week
A gas can is shaped like a cylinder. It has a height of 14 inches and a base diameter of 8 inches. What is the volume of the gas can? Round to the nearest tenth
The volume of the gas can is approximately 703.36 cubic inches when rounded to the nearest tenth.
To find the volume of the gas can, we need to use the formula for the volume of a cylinder, which is given by:
V = π * r^2 * h
where V is the volume, r is the radius of the base, and h is the height of the cylinder.
Given that the base diameter of the gas can is 8 inches, we can calculate the radius by dividing the diameter by 2:
r = 8 / 2 = 4 inches
The height of the gas can is given as 14 inches.
Now, we can substitute the values into the formula to calculate the volume:
V = π * (4^2) * 14
V = π * 16 * 14
V = 224π
To round the volume to the nearest tenth, we need to substitute the value of π with its approximation, which is commonly taken as 3.14:
V ≈ 224 * 3.14
V ≈ 703.36 cubic inches
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How many solutions does the following system have?
Please help me. 27.1 X 10.105
Answer:273.8455
Step-by-step explanation:
i do what i can
Melanie had 85 dollar to pend on 6 book. After buying them he had 13 dollar. How much did each book cot ?
On solving the provided question, we can say that, by unitary method 1 book costs = 72/6 = 12 dollars
What is unitary method?
The unit technique is a strategy for solving problems that involves first determining the value of a single unit, then multiplying that value by itself to determine the required value. An solo or one entity is referred to be unitary. In order to calculate the value in terms of a single entity, this approach is used. The units approach may be used to determine how many kilometers an automobile travels on one liter of gasoline, for instance, if it goes 44 km on two liters of gasoline.
Melanie had 85 = to spend on 6 books
Melanie had left with 13 dollar.
sped = 72
6 book costs = 72 dollars
1 book costs = 72/6 = 12 dollars
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an engineering research center claims that through the use of a new computer control system, automo- biles should achieve, on average, an additional 3 miles per gallon of gas. a random sample of 100 automo- biles was used to evaluate this product. the sample mean increase in miles per gallon achieved was 2.4, and the sample standard deviation was 1.8 miles per gallon. test the hypothesis that the population mean is at least 3 miles per gallon. find the p-value of this test, and interpret your findings.
The test is proved that hypothesis that the population mean is atleast 3-miles per gallon.
What is hypothesis?A hypothesis is the proposed explanation for any kind of phenomenon.
So here are the values of X BAR i=2.4. S is 1.8.
Our sample n =100.
The null hypothesis here is that mu is greater than or equal to 3.
Against the alternative hypothesis that is less than three. Now the calculated value for the test statistic is going to be the equal to X bar is in (-) knots. That's 2.4 -3. divided by S over 2^2 of end. So 1.8 divided by the square root of the 100 gives us negative 3.33. So we can refer to that box of the T distribution and we are get the value. The p value for the test is going to be less than 0.5. Therefore we have the strong evidence that the not hypothesis is going to be the read checked it. So therefore we can reject to the null hypothesis and then it can accept the alternative by the hypothesis that is less than three. Where it is here is the mean of the population, the noting the average increase per gallon.
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A spring with spring constant 0.5 m has a force of 40 newtons applied to it. How much does the spring
stretch? Use Hooke's law F = kx
N
O A 1,600 cm
OB. 100 cm
O C. 80 cm
O D. 40 cm
The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
How to calculate the force acting on string?According to Hookes law
F = ke
where
F is the applied force = 40N
k is the spring constant
e is the extension = 0.5
Substitute
40 = 0.5e
e = 40/0.5
e = 80cm
Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
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Charlie bought a pair of shorts at the store when they were having a 45% off sale if the regular price of the the pair of shorts was 24 how much did Charlie
Answer:
$10.80
Step-by-step explanation:
45% = 0.45
0.45 x 24 = 10.80 (scince we are dealing with money.)
Answer: $13.12
Step-by-step explanation:
45% taken off of 24 is 10.8 (24 x 0.45 = 10.8)
24-10.8 = 13.2
Write the steps to "undo" the equation to solve for x and then give the value of x that
solves the equation.
2 = (x - 4)^3
X = ?
Answer:
\(x=\sqrt[3]{2}+4\)
Step-by-step explanation:
To "undo" this equation, we need to solve for x.
We begin with the equation
\(2=(x-4)^3\)
To remove the cube, we need to take the cubic root of both sides
\(\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4\)
And the last step to solve for x will be to add 4 to each side
\(\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x\)
And there is our value for x
Emilio's dog eats 1/2 of a can of food each day. emilio currently has 2 1/2 cans of dog food. how many days will the current supply of dog food last? write your answer as a fraction or as a whole or mixed number. days
The current supply of dog food will last for 5 days.
Emilio's dog eats 1/2 of a can of food each day. Emilio currently has 2 1/2 cans of dog food. To determine how many days the current supply will last, we need to find the total number of days it takes to consume the available dog food.
If the dog eats 1/2 can of food each day, we can calculate the number of days the current supply will last by dividing the total amount of dog food by the amount consumed each day.
2 1/2 cans of dog food can be written as 2 + 1/2 = 2.5 cans.
The number of days the current supply will last is given by:
(2.5 cans) / (1/2 can per day)
To divide by a fraction, we multiply by its reciprocal:
(2.5 cans) * (2/1 can per day)
The cans cancel out, leaving us with:
2.5 * 2 = 5
Therefore, the current supply of dog food will last for 5 days.
The current supply of dog food, which is 2 1/2 cans, will last for 5 days based on the dog's consumption rate of 1/2 can per day.
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When individuals all have an equal chance of being selected and all samples
have an equal chance of being selected, it's called a
A. convenience
B. simple random sample
C. cluster
D. stratified random sample
The constraints of a problem are listed below. What are the vertices of the feasible region?
2x+3y>12
5x+2y >=15
x>=0 y>=0
A) (0,0) --- (0,4) --- (21/11, 30/11)--- (3,0)
B) (0,0) ---(0,15/2) ---(21/11,30/11),--- (6,0)
C) (0,4) ---(21/11,30/11)--- (3,0)
D) (0,15/2)---(21/11,30/11)---(6,0)
Answer:
A IS THE ANSWER
Step-by-step explanation:
I USED DESMOS APP try it really helps
The vertices of the feasible region of the inequality is given by 2x + 3y > 12 and 5x + 2y ≥ 15
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2x + 3y > 12 be equation (1)
5x + 2y ≥ 15 be equation (2)
where x , y ≥ 0
Now , the inequalities are plotted on the graph ,
where the vertices of the feasible region is given by A , B and C
A ( 0 , 4 ) , B ( 21/11 , 30/11 ) , C ( 3 , 0 )
Hence , the inequalities are solved and the graph is plotted
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During the 2009-2010 season, inter milan of the Italian series A scored 82 points on 38 rounds. For each round of the game, the winning team would receive 3 points, while the losing team would get 0 points. But if the game ends up in a tie, each team would get 1 point. Inter Milan won 20 more rounds than they lost. Use a matrix to find how many of each type of shot they made
Answer:
Inter milan had 24 wins, 10 draws and 4 losses.
Step-by-step explanation:
Let n₁ = number of wins, n₂ = number of draws and n₃ = number of number of losses. Let W = win points = 3, L = loss points = 0 and D = draw points = 1 Since we have our total number of points a 82, then
n₁W + n₂D + n₃L = 82
3n₁ + n₂ + 0n₃ = 82 (1)
Also, since there are 38 points in total, we have that
n₁ + n₂ + n₃ = 38 (2)
Also, we have 20 more win points than loss points. So,
n₁ = n₃ + 20
n₁ + 0n₂ - n₃ = 20 (3)
We have 3 equations. We now write them in matrix form below.
\(\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] \left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] = \left[\begin{array}{ccc}82 \\38\\20\end{array}\right]\)
In the form AX = B, where A =
\(A =\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] , X =\left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] and B= \left[\begin{array}{ccc}82 \\38\\20\end{array}\right]\)
Using cramer's rule, n₁ =
\(det\left[\begin{array}{ccc}82&1&0\\38&1&1\\20&0&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right]\)
= 82((-1 × 1) - 0 × 1) - 1((38 × -1)- (20 × 1)) + 0((38 × 0) - 20 × 1) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)
= (-82 + 58 + 0)/(-3 + 2 + 0)
= -24/-1
= 24
n₂ =
\(det\left[\begin{array}{ccc}3&82&0\\1&38&1\\1&20&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right]\)
= 3((38 × -1)- (20 × -1)) - 82((-1 × 1) - 1 × 1) + 0(20 × 1 - (38 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)
= (-174 + 164 + 0)/(-3 + 2 + 0)
= -10/-1
= 10
n₃ =
\(det\left[\begin{array}{ccc}3&1&82\\1&1&38\\1&0&20\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right]\)
= 3((1 × 20)- (0 × 38)) - 1((1 × 20) - 1 × 38) + 82(1 × 0 - (1 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)
= (60 + 18 - 82)/(-3 + 2 + 0)
= -4/-1
= 4
So, Inter milan had 24 wins, 10 draws and 4 losses.
Complete the square
x^2 - 2x - 14 = 0
A student found the solution below for the given inequality.
|x-9| <-4
x-9>4 and x-9 <-4
x> 13 and x<5
Which of the following explains whether the student is correct?
O The student is completely correct because the student correctly wrote and solved the compound inequality.
O The student is partially correct because only one part of the compound inequality is written correctly.
The student is partially correct because the student should have written the statements using "or" instead of "an-
O The student is completely incorrect because there is " no solution to this inequality.
Mark this and return
Answer:
The student is completely incorrect because there is " no solution to this inequality.
Step-by-step explanation:
Since |x-9| is the absolute value, we will always get a positive number,
and all positive numbers are greater than -4, hence there is no solution to this.
The value of x when g(x) = 3
After solving the given equation at g(x) = 3 the value obtained is 3.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the information given in the question,
The given equation is,
g(x) = -2x + 9
Then,
g(3) = -2(3) + 9
= -6 + 9
g(3) = 3
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Your question seems incomplete, the complete question may be:
If g(x) = -2x + 9, what is the value of x
when g(x) = 3?
due today helpppppppppp
Answer:
Step-by-step explanation:
c and d
Answer:
2nd one
Step-by-step explanation:
The population of a town is 14,000, and it grows at a rate of 4% per year. What will the population be in 6 years? What was the population 6 years ago?
about 87,360; about 11,400
about 17,714; about 11,064
about 14,560; about 12,602
about 17,360; about 10,870
Answer:
3rd one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
sorry if its wrong
A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bottom of the ladder is placed 5 feet away from the ladder building, what is the length of the ladder
Answer:
Therefore, the length of the ladder is 13 feet.
Step-by-step explanation:
This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:
ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13
Therefore, the length of the ladder is 13 feet.
brainliest PLssssss
Please please help me
Answer:
B) 27.2 m^2
Step-by-step explanation:
because to get the area of the parrelelogram, you use the formula (b)(h) or 6.8*4 to get 27.2.
Grady is an American photojournalist in South Africa. He makes a purchase for 24 South Africanrands. If the exchange rate that day is USD to KAR = 6.92, what is the equivalent price of theitem in U.S. dollars? Round to the nearest hundredth.
The equivalent price of the item in U.S. dollars is $3.47, rounded to the nearest hundredth.
1. Start with the given information:
Grady made a purchase for 24 South African rands.
The exchange rate on that day is USD to ZAR = 6.92.
2. To convert the price in South African rands to U.S. dollars, we divide the amount in rands by the exchange rate:
Equivalent price in U.S. dollars = (Amount in South African rands) / (Exchange rate)
3. Substitute the given values into the formula:
Equivalent price in U.S. dollars = 24 ZAR / 6.92
4. Perform the division:
Equivalent price in U.S. dollars ≈ 3.47
5. Rounding to the nearest hundredth, the equivalent price of the item in U.S. dollars is approximately $3.47.
Therefore, the item's equivalent price in U.S. dollars is $3.47.
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Determine whether the relation is reflexive, symmetric, antisymmetric, transitive, and/or a partial order.
(x,y)∈???? if x≥y when defined on the set of positive integers.
For the given relation for (x , y) ∈R if x ≥ y defined on the set of positive integers only transitive relation holds true.
As given in the question,
Given (x , y) ∈R
To check whether relation reflexive, symmetric, antisymmetric, transitive, and/or a partial order is true or not:
a. Reflexive : If (x, x)∈R for all x ∈R
x ≥ x for all x ∈ R which is not true.
b. Symmetric : If 'x' is related to 'y' then 'y' is also related to 'x' for all (x, y) ∈R.
Here, x ≥ y ⇒ y ≥ x for all (x, y) ∈R , which is not true.
c. Antisymmetric : If 'x' is related to 'y' and 'y' is related to 'x' then x = y for all (x , y)∈ R.
Here, x ≥ y and y ≥ x ⇒ x = y is not true.
Not antisymmetric.
d. Transitive: If 'x' is related to 'y' and 'y' is related to 'z' then 'x' is related to 'z' for all x, y, z ∈R.
Here, x ≥ y , y ≥ z ⇒ x ≥ z for all x, y, z ∈R.
True.
Therefore, for the given relation for (x , y) ∈R if x ≥ y defined on the set of positive integers only transitive relation holds true.
The complete question is:
Determine whether the relation is reflexive, symmetric, antisymmetric, transitive, and/or a partial order.
(x, y)∈R if x ≥ y when defined on the set of positive integers.
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What is AAA congruence rule?
AAA ( Angle - Angle - Angle) congruence rule is one of congruence postulate but not preferable, for showing the similarity in two triangles
Two triangles are said to be congruent if one can be superimposed on the other exactly by rigid body motion, and the congruence theorem gives the conditions under which this occurs.
SAS (side-angle-side)SSS (side-side-side)ASA (angle-side-angle)AAA( angle-ange-angle)AAS (angle-angle-side)RHS( right angle-hypotenuse-side)AAA Congruence rule:
It is stands for angle-angle-angle Congruence rule. When all three angles of one triangle is equals to the corresponding angles of another triangle. but it is possible if and only if the corresponding sides of both triangles are equal and when all three sides of two triangles are equal to each other then we use SSS Congruence rule. So, it not considered as preferable congruence rule . For example, In ∆ABC and ∆PQR
all three angles of ∆ABC is equal to corresponding angles of ∆PQR. So,∆ABC and ∆PQR are congruent.
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if a =7 and b = 2 what is 2ab
Answer:
28
Step-by-step explanation:
2(7)(2) =28
The value of 2ab when a = 7 and b = 2 is 28.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2ab
For a = 7 and b = 2.
= 2 x 7 x 2
= 14 x 2
= 28
Thus,
The value of 2ab is 28.
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Can anyone please help me on this whole part plsssss it will mean a lot to me. I’m having difficulty answering them. Thank you all so much!! Also giving out points and branliest!!!
A choice rule C satisfies Arrow's axiom if for any A,A ′
∈P(X),A ′
⊂A and C(A)∩A ′
=∅⇒C(A ′
)=C(A)∩A ′
. Show that a choice rule is rationalizable by a rational preference relation if and only if it satisfies Arrow's axiom.
A choice rule is rationalizable by a rational preference relation if and only if it satisfies Arrow's axiom, which states that if a choice rule selects a set A from a set of alternatives and there is a subset A' of A such that the choice rule also selects A' when presented separately, then the choice rule should select the intersection of A and A'.
Arrow's axiom is a fundamental property of choice rules, and it serves as a condition for rationality in decision-making. A choice rule that satisfies Arrow's axiom ensures consistency in decision-making by treating subsets of selected alternatives consistently.
If a choice rule is rationalizable by a rational preference relation, it means that the choice rule can be explained or represented by a preference relation that follows the principles of rationality. Rational preferences adhere to transitivity, completeness, and continuity.
Arrow's axiom guarantees that a choice rule is consistent with rational preferences. If a choice rule satisfies Arrow's axiom, it implies that the preference relation that rationalizes the choice rule is also consistent with transitivity, completeness, and continuity. Conversely, if a choice rule is rationalizable by a rational preference relation, it must satisfy Arrow's axiom to maintain consistency with rational decision-making.
In conclusion, a choice rule is rationalizable by a rational preference relation if and only if it satisfies Arrow's axiom. This demonstrates the relationship between rational preference relations and the consistency condition set by Arrow's axiom in decision-making processes.
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The area of the shaded sector of circle H is 32.
16
H
What is the area of the unshaded sector?
967
O 2247
32871
O 34571
Answer:
B
Step-by-step explanation:
Area of shaded region + Area of unshaded region = Area of circle
Area of the unshaded sector=256*pi-32*pi=224*pi
Answer:
radius Is 16
total area becomes pi r ^ 2 = 16^2 pi = 256pi
remaining area becomes
256 pi - 32 pi = 224 pi option b
brainliest pls
You are heading to the LLN Casino for Spring Break and plan to play their world famous slot machine. The slot machine at the LLN Casino has three wheels that spin when you pull the lever. When pulled, each wheel spins and stops on one of the symbols. Assume that the outcome of each wheel is independent of the outcomes of the other 2 wheels. Each wheel has 10 equally likely symbols: 4 Skulls, 3 Lemons, 2 Cherries, and 1 Bell.If you play, what is the probability that:You get a Lemon, and a Cherry, and a Bell
Answer:
0.036
Step-by-step explanation:
Number of wheels = 3
Total number of symbols on each wheel = 10
number of skulls = 4
number of Lemons = 3
number of cherries = 2
number of bell = 1
Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent
P(of getting Lemon, cherry and berry ) = 6 * P( lemon , cherry , Bell )
= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )
= 0.036
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Rate is the same thing as gradient so to work out the gradient you need to use the formula
change in y / change in x
Change in y = y2 - y1
Pick any two points on the graph
Change in y = 30 - 15
Change in y = 15
Change in x = x2 - x1
Change in x = 2 - 1
Change in x = 1
15/1
= 15 dollars per day.
We can double check this by seeing the increase of money per day, for example, here from day two to day three, the money needed increases by 15, so our answer is correct.
11/8+(-11/10) Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
11/40
Step-by-step explanation:
\(\frac{11}{8} +(-\frac{11}{10})\) \(\frac{11}{8}-\frac{11}{10}\) \(\frac{11}{8}= \frac{55}{40}, \frac{11}{10} = \frac{44}{40}\) \(\frac{55}{40} - \frac{44}{40}\) \(\frac{11}{40}\)A rectangle has one side of 6 cm. How fast is the area of the rectangle changing at the instant when the other side is 13 cm and increasing at 3 cm per minute
The area of the rectangle is changing at a rate of 18 cm²/min at the instant when the other side is 13 cm and increasing at 3 cm per minute.
To solve this problem, we need to use the formula for the area of a rectangle, which is A = lw, where l is the length and w is the width.
We know that one side of the rectangle is 6 cm, so we can call that the width (w). The other side is increasing at a rate of 3 cm per minute, so we can call that the length (l) and represent it as l(t) = 13 + 3t, where t is the time in minutes.
To find how fast the area (A) of the rectangle is changing, we need to take the derivative of the area formula with respect to time:
dA/dt = d/dt (lw)
dA/dt = w dl/dt + l dw/dt
Now we just need to plug in the values we know:
w = 6 cm
l = 13 + 3t cm
dw/dt = 0 (since the width is not changing)
dl/dt = 3 cm/min (since the length is increasing at a rate of 3 cm per minute)
dA/dt = 6(3) + (13 + 3t)(0)
dA/dt = 18 cm^2/min
So the area of the rectangle is increasing at a rate of 18 cm^2 per minute when the width is 6 cm and the length is increasing at a rate of 3 cm per minute to reach 13 cm.
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