The statement that is true about two ordered pairs that are the same except for the signs of the numbers is their points are in different quadrants. Option D
What are ordered pairs?Ordered pairs are known to be pairs of numbers that are used locate a point in the rectangular coordinate plane
They are written as (x ,y)
where
x is the x-coordinate y is the y-coordinateIt is important to note that the location of the ordered pair in the quadrants determines the sign of the x and y coordinates.
The signs of the ordered pairs are given as;
When (x , y) is in Quadrant I then both x and y are positive
(x , y) is in Quadrant II then x is negative and y is positive (x , y) is in Quadrant III then both x and y are negative (x , y) is in Quadrant IV then x is positive and y is negativeTherefore, the statement that is true about two ordered pairs that are the same except for the signs of the numbers is their points are in different quadrants. Option D
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Help me for this easy question which is no for me!!!!
Answer:
4c=12
c=3
Step-by-step explanation:
Since 4c's make up one 12, it is safe to assume that 4c=12. This results in c=3 once simplified.
Answer:
4c = 12.
Step-by-step explanation:
There are 4 of the same objects marked c.
The perimeter of a square must be greater than 164 164 inches but less than 188 188 inches. find the range of possible side lengths that satisfy these conditions. (hint: the perimeter of a square is given by p=4s p = 4 s , where s represents the length of a side). express your answer in interval notation. use decimal form for numerical values.
The range of possible side lengths in interval notation 41 < s < 47
What does it mean to interval notation?
Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.Since the perimeter is four times the side, the constraints on the perimeter are immediately translated into constraints on the side-
[tex]164 < p < 188 = 164 < 4s < 188[/tex]
So, if you divide every term in the inequality by 4, you have
[tex]\frac{164}{4} < s < \frac{188}{4}[/tex]
Now simply evaluate the fractions
41 < s < 47
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Design an experiment that you could conduct in any branch of earth science. identify the independent variable and dependent variable. what safety precautions would you have to take?
Earth science is made of many branches of knowledge concerning all aspects of the Earth system. The main branches are geology, meteorology, climatology, oceanography, and environmental science. Astronomy uses principles understood from Earth to learn about the solar system, galaxy, and universe.
Overview of Earth Science:Only recently have humans begun to understand the complexity of our planet Earth. We have only known for a few hundred years that Earth is just a tiny part of an enormous galaxy, which in turn is a tiny part of an even greater universe.
An important component of experiments is the different variables involved. A variable is any parameter in the experiment that can change. This could be a parameter like temperature, weight or height, or it could be more complex, such as life expectancy or growth rate. Depending on how you set up your experiment, you will use different kinds of variables. There are three basic types to be familiar with.
Independent variable:The first type is the independent variable. This is the variable that is manipulated during an experiment. For example, when experimenting with how fertilisers affects plant growth, the fertiliser is the independent variable because this is the variable that you change. It might help to think of the independent variable as the cause of change in the experiment.
Dependent variable:In contrast to this, the dependent variable is the variable that is affected during an experiment. In our experiment, our dependent variable would be plant growth since this is affected by the amount of fertiliser applied. If you think of the independent variable as the cause, then the dependent variable is the effect.
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The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be true?
Condition (A) P(B/A) = y is true.
What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.To find the true condition:
If two events are independent, then:
Use formulas for conditional probabilities:
Pr(A/B) = Pr(A∩B) / Pr(B)Pr(B/A) = Pr(B∩A) / Pr(A)For independent events these formulas will be:
Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)Now in your case, Pr(A) = x and Pr(B) = y.
Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.yTherefore, condition (A) P(B/A) = y is true.
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The complete question is given below:
The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?
a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y
e. P(A and B) = x/y
Can someone tell me what this symbol means? Ty!!!
Answer:
Angle symbol
Angle ACB
Angle ACE
Angle DCE
Find two positive numbers satisfying the given requirements. the product is 242 and the sum is a minimum. (smaller value) (larger value)
The two positive numbers satisfying the given requirements are 15.56 and 15.56
For given question,
Let x and y be two positive numbers satisfying the given requirements.
⇒ xy = 242 .............(1)
The sum of given two positive numbers is a minimum.
Let the sum of given two positive numbers is S.
⇒ x + y = S ............(2)
From equation(1),
⇒ y = 242/x
Substitute above value of y in equation (2),
⇒ x + y = S
⇒ S = x + (242 / x)
Now, for above equation we find the derivative of x with respect to x.
⇒ 0 = 1 - [tex]\frac{242}{x^{2} }[/tex]
⇒ 242/x² = 1
⇒ x² = 242
⇒ x = ±15.56
Since the numbers are positive, x = 15.56
For x = 15.56
⇒ y = 15.56
Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56
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can someone help me really quick
Answer:
-6
Step-by-step explanation:
Additive inverse is the number that when added to A gives a result of zero
A + inverse = 0
6 + inverse = 0
inverse = -6
Evaluate the logarithm.
Answer:
-7.1931540532314155
Step-by-step explanation:
-7.1931540532314155
What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A -\dfrac32− 2 3 minus, start fraction, 3, divided by, 2, end fraction (Choice B) B \dfrac23 3 2 start fraction, 2, divided by, 3, end fraction (Choice C) C \dfrac32 2 3 start fraction, 3, divided by, 2, end fraction (Choice D) D -\dfrac23− 3 2
The answer choices which represents the slope of the line described by the points, (1,-1) and (5,-7) is; Choice A; -3/2.
What is the slope of the line passing through the points; (1,-1) and (5,-7)?The line in discuss as described in the task content is passing through the points; (1,-1) and (5,-7).
Hence, it follows conventionally from the slope formula that the slope of the line is;
slope, m = (-7-(-1))/(5-1)
m = -6/4
m = -3/2.
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A simple random sample is guaranteed to reflect exactly the population from which it was drawn.
a. true
b. false
Answer:
B
Step-by-step explanation:
Solve the system to answer the questions.
How many premium car washes were ordered?
premium car washes
How many quick car washes were ordered?
quick car washes
The number of quick car and premium car washes ordered are 75 and 50 respectively.
How to find the number of premium and quick car washes ordered?The system of equation models the situation
x + y = 125
5x + 8y = 775
Therefore,
5x + 5y = 625
5x + 8y = 775
3y = 150
divide both sides 3
3y / 3 = 150 / 3
y = 50
Therefore,
x + y = 125
x + 50 = 125
x = 125 - 50
x = 75
Therefore, the number of quick car and premium car washes ordered are 75 and 50 respectively.
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Answer:
50 and 75
Step-by-step explanation:
Needdddd helpppp someone please
Answer:
none
Step-by-step explanation:
From the markings in the diagram above, we know that corresponding angles of the two triangles are congruent, but since we can make infinite number of triangles with same angle measures as triangle RIE by changing the side lengths, we cannot conclude that the triangles are congruent.
A weather balloon holds 2,600 cubic meters of helium. the density of helium is 0.1755 kilograms per cubic meter. how many kilograms of helium does the balloon contain? please round your answer to the nearest whole number. only enter a numerical value in the answer blank.
Answer:
456 kg
Step-by-step explanation:
Mass is the product of volume and density.
Mass of HeThe product of volume and density is ...
M = Vρ
M = (2600 m³)(0.1755 kg/m³) ≈ 456 kg
The balloon contains about 456 kg of He.
Pls answerrrrrrrrrrr
find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
Answer:
628.0 mm²
Step-by-step explanation:
The total surface area of the figure is the sum of the inside lateral area, the outside lateral area, and the area of the donut bases.
Lateral areaThe lateral area of a cylinder is ...
A = 2πrh
The total lateral area of the inside and outside cylinders is ...
A = 2π(r1)h +2π(r2)h = 2π(r1 +r2)h
A = 2(3.14)(3 mm +7 mm)(6 mm) = 376.8 mm²
Base areaThe area of one donut base is the product of the centerline length and the width.
A = πdw = (3.14)(7 mm +3 mm)(4 mm) = 125.6 mm²
Total areaThe total surface area of the composite figure is the sum of its lateral area and the area of the two bases.
surface area = 376.8 mm² +2×125.6 mm² = 628.0 mm²
__
Additional comment
The radius of the centerline of the base donut is the average of the inside and outside radii: half their sum. The diameter of the centerline circle is twice that average radius, so is equal to the sum of the inside and outside radii. This is the value we used above.
The width of the donut is the difference in the radii.
The product of the sum and difference is the same as the difference of the squares of the radii. That difference of squares would be what you have if you compute the overall area and subtract the inner area.
mr thapa travelled 5km by a taxi the minimum fare of rs 14 apperared immediately after the meter was flagged down, then the fare went on rs 7.20 per 200m. calculate the total fair paid by her
The total price paid by Mr. Thapa as per the new rating will be equal to Rs 180.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total distance traveled by Mr. Thapa = 5 km = 5000 meters.
The initial price paid for the taxi = Rs 14
Then, the meter was flagged down, then the fare went to rs 7.20 per 200 m.
Let the price paid after 5 km is x.
So, the ratio will be,
200 m = Rs 7.20
5000 m = x
Perform cross-multiplication,
200x = 5000 × 7.20
200x = 36000
x = 36000/200
x = Rs 180
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What is the value of log5 125?
[tex] \rm log_{5}(125) \\ \rm log_{5}( {5}^{3} ) \\ \rm1 \cdot3 \\ 3 \\ \therefore \tt log_{5}(125) = 3[/tex]
can someone solve this step by step pls
The solutions to the quadratic equation -t² + 7t = 0 are 7 and 0.
Hence, x = 7, 0.
What are the solutions to the quadratic equation?Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given the equation;
-t² + 7t = 0
Comparing with the standard form.
a = -1b = 7c = 0We substitute into the quadratic formula.
x = (-b±√(b² - 4ac)) / (2a)
x = (-7±√( (7)² - ( 4 × -1 × 0) ) / (2 × -1)
x = (-7±√( 49 - 0) ) / (-2)
x = (-7±√49 ) / (-2)
x = (-7±7 ) / (-2)
x = (-7-7 ) / (-2), (-7+7 ) / (-2)
x = -14/(-2), 0/(-2)
x = 7, 0
The solutions to the quadratic equation -t² + 7t = 0 are 7 and 0.
Hence, x = 7, 0.
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Which of the following is an example of the associative property of multiplication?
07-(3+5)=21+35
7-(3-5)=(7-3)-5
7-(3-5)=7-(5-3)
Answer:
think its number 2 7-(3-5)=(7-3)-5
Step-by-step explanation:
which recursive formula can be used to represent the sequence
2,6,10,14,18...?
Answer:
a(1) = 2
a(n) = a(n-1)+4
Step-by-step explanation:
Using the given arithmetic sequence,
a1 is 2
a2 is 6
a3 is 10
a4 is 14
a5 is 18
and to get from a1 to a2 you have to +4, to get from a2 to a3 you have to +4 and so on.
In a reclusive formula you need to find two pieces of information:
1. The first term of the sequence
2. The pattern rule to get any term from the term that comes before it
Using the given sequence, the first term is 2 and the rule to get any term from its previous term is +4.
So, putting that information in the form of a recursive formula will read as the following:
an+1 = an+4
a1 = 2, n is greater or equal to 1 (n is an interger)
Which can be rearranged to
a(1) = 2
a(n) = a(n-1)+4
Can you help me in my math work
The LCM of 18 and 24 using the prime-factorization method is 72.
The LCM of 27, 81, and 54, using the division method is 162.
In the first question, we are asked to find the LCM of the given numbers using the prime factorization method.
(i) 18, 24.
Prime factorization gives:
18 = 2*3², and 24 = 2³*3.
The LCM is the product of the highest power of each prime factor.
Thus, LCM = 2³*3² = 8*9 = 72.
Thus, the LCM of 18 and 24 using the prime-factorization method is 72.
Doing similarly for other sub-parts, The LCM of:
(ii) 16, 40 is 80.
(iii) 30, 36 is 180.
(iv) 28, 44 is 308.
(v) 20, 32 is 160.
(vi) 20, 135 is 540.
(vii) 45, 75 is 225.
(viii) 36, 84 is 252.
(ix) 12, 18, 24 is 72.
(x) 25, 35, 45 is 1575.
(xi) 9, 15, 21 is 315.
(xii) 25, 50, 75 is 150.
In the second question, we are asked to find the LCM of the given numbers, using the division method.
(i) 27, 81, 54.
The division method gives:
[tex]\underline{2|27,81,54}\\\underline{3|27,81,27}\\\underline{3|9,27,9}\\\underline {3|3,9,3}\\\underline{3|1,3,1}\\{1|1,1,1}[/tex]
The LCM is the product of all the numbers used for division.
LCM = 2*3*3*3*3*1 = 162.
Thus, the LCM of 27, 81, and 54, using the division method is 162.
Doing similarly for other sub-parts, The LCM of:
(ii) 18, 45, 63 is 630.
(iii) 35, 55, 100 is 7700.
(iv) 210, 140, 315 is 1260.
(v) 112, 120, 150 is 8400.
(vi) 144, 180, 300 is 3600.
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F = (x2 y2)i (x - y)j; c is the rectangle with vertices at (0, 0), (3, 0), (3, 9), and (0, 9)
I assume [tex]C[/tex] is oriented counterclockwise. If [tex]C[/tex] is the closed rectangle, then by Green's theorem we have
[tex]\displaystyle \int_C F\cdot dr = \int_0^3 \int_0^9 \frac{\partial (x-y)}{\partial x} - \frac{\partial (x^2+y^2)}{\partial y} \, dy \, dx \\\\ ~~~~~~~~~~~~ = \int_0^3 \int_0^9 (1 - 2y) \, dy \, dx = 3 \int_0^9 (1-2y)\, dy = \boxed{-216}[/tex]
It seems unlikely, but if you actually are omitting the integral along the line segment joining (0, 9) and (0, 0), let [tex]x=0[/tex] and [tex]y=9-t[/tex] with [tex]0\le t\le9[/tex]. Then the integral along this line segment would be
[tex]\displaystyle \int_{(0,9)\to(0,0)} F\cdot dr = \int_0^9 \bigg((0^2 + (9-t)^2) i + (0 - (9-t)) j\bigg) \cdot (0i - j) \, dt \\\\ ~~~~~~~~ = \int_0^9 (9-t) \, dt = \frac{81}2[/tex]
so that the overall integral would instead have -216 - 81/2 = -513/2.
4/5 + 9/10 what is this answer?
[tex]\boldsymbol{\sf{\dfrac{4}{5}+\dfrac{9}{10} } }[/tex]
The least common multiple of 5 and 10 is 10. Convert 4/5 and 9/10 to fractions with denominators of 10.
[tex]\boldsymbol{\sf{\dfrac{4\times2}{5\times2}+\dfrac{9}{10} \ \ \to \ \ Simplify }}[/tex]
[tex]\boldsymbol{\sf{ \dfrac{8}{10}+\dfrac{9}{10} }}[/tex]
Since 8/10 and 9/10 have the same denominator, join their numerators to add them.
[tex]\boldsymbol{ \sf{\dfrac{8+9}{10} \ \to \ \ Add }}[/tex]
Simplify
[tex]\boldsymbol{\sf{ \dfrac{17}{10}= }}\boxed{\boldsymbol{\sf{1\frac{7}{10} }}}[/tex]
Identify the ellipses, represented by equations, whose eccentricities are less than 0.5.
Ellipses that are represented by equations, whose eccentricities are less than 0.5 are:
(A) 49x2 -98x + 64yz +256y -2,831 = 0 (B) 81x2 -648x +100yz +200y -6,704 = 0 (F) 64x2 +512x +81y2 -324y -3,836 = 0What is an equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.To identify the ellipses:
For the standard-form equation of an ellipse: Ax^2+Bx+Cy^2+Dy+E=0
We can define:
p=min(A,C)q=max(A,C)Then the eccentricity can be shown to be:
e=(1-p/q)p/q=1-e^2For Eccentricity<0.5, we want:
p/q>3/4Checking the values of p/q for the given equations, we have p/q= equations (A), (B), and (F) are of ellipses with eccentricity < 0.5.
Therefore, ellipses that are represented by equations, whose eccentricities are less than 0.5 are:
(A) 49x2 -98x + 64yz +256y -2,831 = 0 (B) 81x2 -648x +100yz +200y -6,704 = 0 (F) 64x2 +512x +81y2 -324y -3,836 = 0Know more about equations here:
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The complete question is given below:
Identify the ellipses, represented by equations, whose eccentricities are less than 0.5.
(A) 49x2 -98x + 64yz +256y -2,831=0
(B) 81x2 -648x +100yz +200y -6,704 =0
(C) 6x2 -12x +54y2 +108y -426 =0
(D) 49x2 + 196x +36y2 +216y -1,244 =0
(E) 4x +32x +25y2 - 250y +589 =0
(F) 64x2 +512x +81y2 -324y -3,836 =0
which number best represents the scope of the graphed line? a. -5 b. -1/5 c. 1/5 d.5
sariah has just begun training for a half-marathon, which is 13.1 miles. since she was on vacation, she started the training program later than the rest of her running club. There are 6 weeks of training runs remaining before the race.
In her first week of training, Sariah ran 3 miles. She ran 4.5 miles the second week and 6 miles the third week. If she continues to increase the length of her runs the same way, will there be enough time left in the train program for her to get up to half-marathon distance?
Describe how you would solve this problem using Polya’s four-step problem-solving method. Complete each task as part of your response. Be sure to number task 1-task 4 so that your instructor can tell which part you are answering.
1. understand the problem
task 1: read the problem and restate in your own words what the question asks.
2. formulate a plan
task 2: identify the model you would use to represent the problem and explain why you chose the model.
3. implement the plan
task 3: solve the problem and state your answer.
4. review the results
task 4: explain your problem-solving process and how you know your answer is correct.
There would not be enough time to reach the half marathon distance.
Would there be enough time to reach the half marathon distance?The distance run in a week can be represented with a linear equation. A linear equation is an equation that has a single variable raised to the power of 1.
The linear equation that would be used to represent the distance run would be in the form:
Miles run in a week = miles run the previous week - increase in miles
Increase in miles = 6 - 4.5 = 1.5 miles
Miles run in the fourth week = 1.5 + 6 = 7.5 miles
Miles run in the fifth week = 7.5 miles + 1.5 miles = 9 miles
Miles run in the sixth week = 9 + 1.5 = 10.5 miles
There would not be enough time to reach the half marathon distance because in the sixth week she would be able to run 10.50 miles
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Get every whole number from 0-10 using exactly five 3's, and any arithmetic operations and parentheses
See below for the combination of the arithmetic operations and exactly five 3's
How to determine the operations?The conditions are given as:
Exactly five 3'sAny arithmetic operation or combination of operationsThere are no direct rules to this, except by trial and error.
After several trials, we have the following operations:
(3 * 3 - 3 * 3)/3 = 0
3 - 3/3 - 3/3 = 1
(3 + 3 - 3 / 3)-3 = 2
(3 * 3 - 3 + 3)/3 = 3
3 *3/3 + 3/3 = 4
3 +3/3 + 3/3= 5
3 + 3 + (3 - 3)/3 = 6
(3^3 - 3 - 3)/3 = 7
3 + 3 + (3 + 3)/3 = 8
3 + 3 + 3+ 3 -3 =9
3 + 3 + 3 + 3/3 = 10
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Find the median of the data set. round your answer to the nearest tenth if necessary. 13,13,15,15,15,15,17,17,19,20
Answer:
Hey Desmariesin7587, the median of the data set that you gave is 15.9
Step-by-step explanation:
Since the amount of values in the data set was not even, I could not find a middle number. Instead, I added up all of the values and divided the total sum by the amount of values that there were; in this case, 10.
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Have a great day,
Nish
Nancy started the year with 400$ in the bank and is saving 10$ a week. Shane started with 700$ and is spending 20$ a week. When will they both have the same amount of money in the bank?
They will both have the same amount in the bank after 10 weeks
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, we have
Nancy
Initial = 400
Rate = 10
So, the equation is
y = 400 + 10x
700
Initial = 700
Spending = 20
So, the equation is
y = 700 - 20x
When they both have the same amount of money in the bank, we have
700 - 20x = 400 + 10x
Evaluate the like terms
30x = 300
Divide by 30
x = 10
Hence, they will both have the same amount in the bank after 10 weeks
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Helen's age is multiples of 4. Next year it'll be a mustiple of 3. Helen's older brother is now 19. How old is Helen now?
Helen is currently is 8 years old.
How to solve world problem ?Endeavor to understand the question, analyze it and interpret it into equation.
Given that Helen's age is multiples of 4. Next year it'll be a multiple of 3. Helen's older brother is now 19.
This means Helen current age is multiple of 4 and next year it will be a multiple of 3. Also, Helen's age is less than 19
The two available numbers that fit this analysis and less than 19 are 8 and 9. 8 is multiple of 4. 8 + 1 = 9 which is multiple of 3
Therefore, Helen is 8 years old now
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