Therefore, the ordered pair that satisfies the equation is (6, -31/6).
Is the set (4, 6) ordered?The order in which values are written in a pair is crucial, as the term "ordered pair" implies. The arranged pair (6, 4) differs from the pair in several ways. (4, 6). As shown below, both indicate two distinct points.
We can pick a value for x and then solve for y to discover an ordered pair that satisfies the equation -5/6x = y + 1/6.
Let's pick x = 6, which is a multiple of the equation's denominator (-6). Next, we have:
-5/6(6) = y + 1/6
Simplifying the left side:
-5 = y + 1/6
Subtracting 1/6 from both sides:
-5 - 1/6 = y
Multiplying both sides by 6 to get rid of the fraction:
-30 - 1 = 6y
-31 = 6y
Dividing both sides by 6:
y = -31/6.
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3/4
7. Find the difference of the following fractions.
3
(a) 45-23
(b) 52-4
10 10
5 5
2
(C) 3
6 5
4
9
7
b
9
7
Answer:
Step-by-step explanation:
bhnnj
What is the surface area of the rectangle pyramid below 13 13 13
Answer:
Step-by-step explanation:
Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:
First, we need to calculate the area of the rectangular base, which is simply length x width:
Area of rectangular base = 13 x 13 = 169 square units
Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.
To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:
a² + b² = c²
where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.
13² + 13² = c²
338 = c²
c ≈ 18.38
Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:
Area of isosceles triangle = (1/2) x base x height
Area of isosceles triangle = (1/2) x 13 x 18.38
Area of isosceles triangle ≈ 119.14 square units
To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:
Area of right triangle = (1/2) x base x height
Area of right triangle = (1/2) x 13 x 18.38
Area of right triangle ≈ 119.14 square units
Since there are two of each type of triangular face, the total surface area of the pyramid is:
Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle
Surface area = 169 + 2 x 119.14 + 2 x 119.14
Surface area = 546.28 square units
Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.
Please help with this question
Answer:
\(9\frac{6}{12}\)
Step-by-step explanation:
\(6\frac{2}{6} \cdot 1\frac{1}{2} = \frac{38}{6} \cdot \frac{3}{2} = \frac{114}{12}=9\frac{1}{2}\), which is also equal to \(9\frac{6}{12}\).
PLEASE HURRY!!! what is the slope of the graph?
Step-by-step explanation:
2..................pls follow me
Find the equation of a line perpendicular to −4x+y=−5 that contains the point (−5,1).
Answer:
Step-by-step explanation:
y = 4x - 5
perp. -1/4
y - 1 = -1/4(x + 5)
y - 1 = -1/4x - 5/4
y - 4/4 = -1/4x - 5/4
y = -1/4x - 1/4
Convert the following equation
into standard form.
y = -7x/2 - 3
Answer:
7x + 2y = - 6
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )
2y = - 7x - 6 ( add 7x to both sides )
7x + 2y = - 6 ← in standard form
What is angle
Enter your answer in the box
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37
I have 0 idea what this even means? Does anyone know the answer and if you could possibly elaborate if you do? Very confused over here
Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.
How to determine the corresponding output value for this function?In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.
When x = 1, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(1) = ln(1).
f(1) = 0.
When x = 2, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(2) = ln(2).
f(2) = 0.69314718
When x = 1, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(1) = log₂(1)
g(1) = 0.
When x = 2, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(2) = log₂(2)
g(2) = 1.
In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.
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stuck on this question
In what form is the following linear equation written?
3x - 2y=4
A. Rise-run
B. Point-slope
C. Slope-intercept
D. Standard
Answer:
D. standard form
Step-by-step explanation:
standard form is
Ax + By = C
What’s the square root of 100
Answer:
10
<3 Enjoy,
Dea
Almonds are sold in 8-ounce and 20-ounce packages. What is the least number of ounces you can buy of each package to have equal amounts of each package size?
The least number of ounces you can buy of each package to have equal amounts of each package size is ounces
Answer:
40
Step-by-step explanation:
\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)
Jacob invests $8,634 in a savings account with a fixed annual interest rate of 2.67% compounded continuously. How long will it take to reach $25,000 dollars?
After answering the provided question, we can conclude that As a result, with continuous compounding at a fixed annual interest rate of 2.67%, Jacob's investment will reach $25,000 in approximately 30.6 years.
what is interest ?In mathematics, interest refers to the amount of revenue raised or owed on an original cost or loan. You can use either simple or compound interest. Simple interest is determined by a proportion of the original amount, whereas compound interest is calculated on the principal amount and as well as any previously earned interest. If you put money $100 at a 5% yearly simple interest rate, visitors will earn $5 in interest every year for three years, for a total of $15.
To solve this problem, we can use the continuous compounding formula:
\(A = Pe^(rt)\\25000 = 8634e^(0.0267t)\\e^{(0.0267t)}= 2.893\\0.0267t = ln(2.893)\\t = ln(2.893) / 0.0267 ≈ 30.6 years\\\)
As a result, with continuous compounding at a fixed annual interest rate of 2.67%, Jacob's investment will reach $25,000 in approximately 30.6 years.
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A junior high athletic club is making blankets and plans to sell them as a fundraiser.They are able to make 10 blankets and want to sell them for $35 each.The total amount raised can be represented by y = 35x. A: Is this function discrete or continuous?B: Determine the domain.C: Determine the range.
Functions can either be discrete or continuous.
The function is discreteThe domain and the range are \(\mathbf{[0,\infty)}\).The function is given as:
\(\mathbf{y = 35x}\)
Where x represents the number of blankets
x can only take whole numbers (i.e 0, 1, 2....)
A discrete function is such that can only non-decimal values.
Hence, the function is discrete
(b) The domain
In (a), we listed the values of x to be: (0,1,2...)
This means that, the domain is: \(\mathbf{[0,\infty)}\)
(c) The range
When x = 0, we have:
\(\mathbf{y = 35x}\)
\(\mathbf{y = 35 \times 0 = 0}\)
This means that, the range is: \(\mathbf{[0,\infty)}\)
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2. Write the absolute value of the following. a) | -6 -3 | . b) | 0 - 12 |.
Answer:
a)9. b) 12
Step-by-step explanation:
a) | -6 -3 | .
-6-3 = -9
|-9| =9
b) | 0 - 12 |.
0-12=-12
|-12|=12
The counting number just before C5F sixteen is
the counting number just before C5F16 is 3,072.
i am confuse on this. I tried to figure it out. but I couldn't please help
Answer:
A and B?
Step-by-step explanation:
Correct me if im wrong plz
Answer:
A and B
If i am wrong correct me please
a. Find parametric equations and symmetric equations for the line passing through the points (-2, 4, 3) and (1, 2, 7).
b. At what point does this line intersect the yz-plane?
a) The parametric equations of the line are: x(t) = −2 + 3t, y(t) = 4 − 2t, z(t) = 3 + 4t and The symmetric equation of the line are: (x + 2)/3 = (y − 4)/−2 = (z − 3)/4
b) The line intersects yz-plane at (0, 8/3, 17/3)
The given points on the line are:
(x₁, y₁, z₁) = (−2, 4, 3)
(x₂, y₂, z₂) = (1, 2, 7)
The direction ratios of this line are:
⟨a, b, c⟩ = ⟨x₂ − x₁, y₂ − y₁, z₂ − z₁⟩
= ⟨1 + 2, 2 − 4, 7 − 3⟩
= ⟨3, −2, 4⟩
a) Parametric equations of the line:
These are given by:
x(t) = x₁ + at = −2 + 3t
y(t) = y₁ + bt = 4 − 2t
z(t) = z₁ + ct = 3 + 4t
Symmetric equation of the line:
This is given by:
(x − x₁)/a = (y − y₁)/b = (z − z₁)/c
(x + 2)/3 = (y − 4)/−2 = (z − 3)/4
b) When a line intersects the yz-plane, its x-coordinate is zero.
Using the parametric equations of the part (a):
x = 0
−2 + 3t = 0
3t = 2
t = 2/3
Substitute this in the parametric equations corresponding to y and z as well:
y = 4 −2t
= 4 − 2(2/3)
= 8/3
z = 3 + 4t
= 3 + 4(2/3)
= 17/3
Hence, the required point is: (x, y, z) = (0, 8/3, 17/3)
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A private jet can fly 2145 miles in three hours with a tailwind, but only 1809 miles in three hours with a headwind.
The speed of the private jet is 659 miles per hour.
SpeedSpeed is the ratio of distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent the speed of the jet and b represent the speed of the wind. The private jet can fly 2145 miles in three hours with a tailwind, hence:
(a + b)3 = 2145
a + b = 715 (1)
It can travel 1809 miles in three hours with a headwind, hence:
(a - b)3 = 1809
a - b = 603 (2)
From equation 1 and 2:
a = 659, b = 56
The speed of the private jet is 659 miles per hour.
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[IMAGE ATTACHED]
PLEASE HELP!!!!!!!
Answer:
c and d
Step-by-step explanation:
Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain your reasoning. *
Answer:
Horse A will have traveled 20 feet farther
Step-by-step explanation:
Horse A has traveled 160 feet in 5 seconds, and Horse B has traveled 140 feet in 5 seconds, and 160-140=20
10. Silas has 5 1/4 cups of flour. He uses 3 1/2 cups to bake bread, then he borrows another 2 cups from his neighbor. He wants to bake cookies, which take 2 3/4 cups of flour. Does he have enough? How much will he have left over, or how much more does he need? a Yes, he has 1 cup left. B No, he needs 1 cup more. c Yes, he has 1 cup left. 0 No, he needs 1 cup more.
Answer:
A, Yes, he has 1 cup left
Step-by-step explanation:
5.25 at the start
5.25 - 3.5 = 1.75
1.75 + 2 = 3.75
3.75 - 2.75 = 1
Answer:
1
Step-by-step explantion:
bam theres the answer, its 1.
yes he has 1 cup left
Tommy throws a ball from the balcony of his apartment down to the street. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball, in meters per second, while it's in the air?
Answer:
-1.5 meters per second
Step-by-step explanation:
According to the question, the data provided is as follows
h (o) = 15
And, h (10) = 0
Based on the above information, the average rate of change of the height of the ball is
\(h_{avg} = \frac{h(10) - h(0)}{10 - 0}\)
\(= \frac{0 - 15}{10}\)
= -1.5 meters per second
Basically we applied the above formula so that we can determine the average rate of change of the height of the ball and the same is to be considered
Answer: -3/2
Step-by-step explanation: this was the anwser on my test, but you should have provided more info.
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Answer:
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Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
Thanks so much for the free p0ints! hereś a meme to make you laugh!
Vicki started jogging. The first time she ran, she ran mile. The second time, she ran mile, and the 516 58 15 16 third time, she ran 16 mile. If she continued this pattern, when was the first time she ran more than 1 mile? Complete the explanation Express the fraction as a mixed number in simplest form. mile(s) every new time she ran. Therefore, the ? time, Vicki had a pastem of adding she ran milles
Answer:
Afar fom what i've got from another question on Brainly. I might be wrong but It could Possibly be The 6th Time Vicki Runs!
Step-by-step explanation:
I apologise if this isnt the answer..............
1/7 f = 6
Solve equation
Answer:
42
Step-by-step explanation:
1. What is the constant rate of change between x and y in the table below?
X -5 -2 1 4
Y 10 8 6 4
The ratio 124:344 and 109:124 both correctly described the data in the table. But only the ratio 124:344 is a fraction
Answer:
The answer is (A)
Step-by-step explanation:
There you go peeps
Answer:
The correct answer is c
total votes to Jocelyn's votes
Step-by-step explanation:
Write 125 as a repeated multiplication of 5s. Then write it as a power.
2)
A high school basketball team won exactly 65 percent
of the games it played during last season. Which of
the following could be the total number of games the
team played last season?
A) 22
B) 20
C) 18
D) 14
Answer:
To find the answer, we can use the formula:
number of won games / total number of games played = percentage won
Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:
number of won games / x = 0.65
To solve for x, we can cross-multiply:
number of won games = 0.65x
We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:
If the team played 22 games, then the number of won games is:
number of won games = 0.65 * 22 = 14.3
This is not a whole number value, so we can rule out choice A.
We can repeat this process for each answer choice. When we try choice C, we get:
number of won games = 0.65 * 18 = 11.7
This is also not a whole number value, so we can rule out choice C.
When we try choice D, we get:
number of won games = 0.65 * 14 = 9.1
This is also not a whole number value, so we can rule out choice D.
Therefore, the only remaining answer choice is B, which gives us:
number of won games = 0.65 * 20 = 13
This is a whole number value, so the team could have played 20 games in total last season.