\(y = 3x -2~~~.....(i)\\\\y = 2x-5~~~.....(ii)\\\\\text{Substitute equation (i) in equation (ii):}\\\\3x-2 = 2x -5\\\\\implies 3x -2x = -5+2\\\\\implies x = -3\\\\\text{Substitute}~ x =-3,~ \text{in equation (i):}\\\\y = 3(-3) -2 = -9 -2 = -11\\\\\text{Hence,}~ (x,y) = (-3,-11)\)
Which of these numbers is irrational?
A. 1.1
B. -1.11
C. 1
D. V11
Answer:
d
Step-by-step explanation:
because I had this exact same problem with my homework in math
Answer:
d is your answer.
Step-by-step explanation:
so sorry if it's wrong i don't think it is though .
Use the function below to find Fl-2).
F(x) = 3x
17. A man stands 4300 feet from the Burj Khalifa in
Dubai (world's tallest building). The angle of
elevation from his eyes (5 feet) to the top of the
building is 32°. How tall is the building?
9514 1404 393
Answer:
b. 2692 ft
Step-by-step explanation:
The relation of interest between the sides of the right triangle is ...
Tan = Opposite/Adjacent
Using the given numbers, that is ...
tan(32°) = (building height)/(4300 ft)
Multiplying by 4300 ft, we get ...
building height = (4300 ft)·tan(32°) ≈ 2686.9 ft
This is the height above the observer's eyes, so the height of the building above the ground is ...
2687 +5 = 2692 . . . . feet
The building is 2692 feet tall.
Some help ppplllsssss
Answer:
the answer is b
Step-by-step explanation:
Side Angle Side
Most dietitians recommend that adults consume 20 to 30 percent of their daily caloric intake in protein. Based on this recommendation, what is the minimum amount of calories from protein an adult should consume from an 1,800 calorie diet?
Answer:
360-540 calories
if anyone would help and explain how to do this it would mean so much :)
Answer:
16 ft.
Step-by-step explanation:
A=LW
Area=Length times Width
We have the area and the Width.
112=Lx7
112÷7=L
L=16
The Length (n) is 16ft.
3. It took Juan 48 minutes to drive 12 miles. Calculate his speed in miles per hour.
9. Find the missing values for the following similar figures
The missing values of the similar triangles is x = 20/3 and y = 4.5
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔXYZ
Now , the corresponding sides are
15 / 10 = y / 3
Multiply by 3 on both sides , we get
y = 45 / 10
y = 4.5
Now , for the similar triangles , corresponding sides of similar triangles are in the same ratio
And , 2 / 3 = x / 10
Multiply by 10 on both sides , we get
x = 20/3
Hence , the similar triangles are solved
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Help me please........
Answer:
0.66666666667
Step-by-step explanation:
funny brainliest?
The midpoint of AB is M(3, -2). If the coordinates of A are (8,4), what are the
coordinates of B?
Answer:
B(-2, -8)Step-by-step explanation:
M being midpoint of AB means:
\(x_B-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_B-y_M=y_M-y_A\\\\x_B-3=3-8\qquad\quad\wedge\qquad\quad y_B-(-2)=-2-4\\\\x_B-3=-5\qquad\quad\ \wedge\qquad\quad y_B+2=-6\\\\x_B=-5+3\qquad\quad\ \wedge\qquad\quad y_B=-6-2\\\\x_B=-2\qquad\qquad\ \wedge\qquad\qquad y_B=-8\)
all you need is in the photo PLEASE DON'T DO STEP BY STEP scavengerPleaseeeeeeeeeeeeeeewweeewerr
we have the expression
11.5x(x+3)+350
this is the same that
11.5(A)+350
where A is the area of rectangular room
11.5 is the rate per square feet
350 is the fee for materials
therefore
the answer is
11.5 represent -----> option E
x(x+3) ------> option F
350 -----> option B
x -----> option C
x+3 ----> option D
officials begin to release water from a full man-made lake at a rate that would empty the lake in 12 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake?
As per the unitary method, there are 64.29 weeks does it take to empty the lake.
The term unitary method is known as a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here we have given that officials begin to release water from a full man-made lake at a rate that would empty the lake in 12 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time.
And we need to find the number of weeks does it take to empty the lake
While we looking into the given question, we have identified the following values,
=> Empty rate = 1/18 job/week
=> Fill rate = 1/25 job/week
Then together rate is written as 1/x
Then the equation of the given situation is written as,
=> rate - rate = together rate
When we apply the values, then we get,
=> 1/18 - 1/25 = 1/x
Now we have to multiply thru by 18*25x, then we get,
=> 25x - 18x = 18*25
=> 7x = 18*25
Therefore, x = 64.29 weeks.
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Miguel's weekly earnings for working 40 hours plus 3 hous of working overtime was $479.71. If $48.51 of that paycheck was overtime pay, what was his hourly rate for the first 40 hours of work?
Use the function f and the given real number a to find (f −1)'(a). (Hint: See Example 5. If an answer does not exist, enter DNE.)
f(x) = x3 + 7x − 1, a = −9
(f −1)'(−9) =
The required answer is (f −1)'(-9) = -2√13/9.
To find (f −1)'(a), we first need to find the inverse function f −1(x).
Using the given function f(x) = x3 + 7x − 1, we can find the inverse function by following these steps:
1. Replace f(x) with y:
y = x3 + 7x − 1
The informal descriptions above of the real numbers are not sufficient for ensuring the correctness of proofs of theorems involving real numbers. The realization that a better definition was needed. Real numbers are completely characterized by their fundamental properties that can be summarized
2. Swap x and y:
x = y3 + 7y − 1
3. Solve for y:
0 = y3 + 7y − x + 1
We need to find the inverse function , Unfortunately, finding the inverse function for f(x) = x^3 + 7x - 1 is not possible algebraically due to the complexity of the function. A number is a mathematical entity that can be used to count, measure, or name things. The quotients or fractions of two integers are rational numbers.
Using the cubic formula, we can solve for y:
y = [(x - 4√13)/2]1/3 - [(x + 4√13)/2]1/3 - 7/3
Therefore, the inverse function is:
f −1(x) = [(x - 4√13)/2]1/3 - [(x + 4√13)/2]1/3 - 7/3
Now we can find (f −1)'(a) by plugging in a = -9:
(f −1)'(-9) = [(−9 - 4√13)/2](-2/3)(1/3) - [(−9 + 4√13)/2](-2/3)(1/3)
(f −1)'(-9) = [(−9 - 4√13)/2](-2/9) - [(−9 + 4√13)/2](-2/9)
(f −1)'(-9) = (4√13 - 9)/9 - (9 + 4√13)/9
(f −1)'(-9) = -2√13/9
Therefore, (f −1)'(-9) = -2√13/9.
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Identify the mistake.
The mistake is that it is 1/16 not 16. The person probably did the reciprocal or incorrectly used the fraction
Answer:
The exponent for the answer should be -2. Therefore, the answer will be 4⁻² or 1/16.
Step-by-step explanation:
When dividing fractions, you subtract the exponents as long as they have the same base.
Since the exponents both have the base of 4, subtract 9 - 11.
9 - 11 = -2
The exponent would be -2 and the answer would be 4⁻².
When an exponent is negative, you take the inverse of the base raised to the positive exponent.
Since 4² = 16 or 16/1, 4⁻² would be 1/16.
The answer would be 4⁻² or 1/16.
Hope that helps.
help please!
Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.
Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.
Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.
As per the given graph,
Triangle GHI and triangle DEF are plotted.
If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.
And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.
Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".
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3.
What is the value of 24 (72 - 69) = 6 x 4?
Answer:
3(24)
Step-by-step explanation:
The temperature dropped rapidly overnight. Starting at 80°F, the temperature dropped 3° per minute
Answer:
Your full equation is then y = -3*x + 80.
Step-by-step explanation:
This sounds like a linear equation that can be put in "y = m*x + b" form because there is a constant Y-intercept value ("b," the starting point) and a constant slope ("m," the rate of change).
The trick here is to pick out these values from the word problem. The first thing to look for are key words like "starting at," "at time 0," or "when x = 0." These describe when the line crosses the Y axis (which is where x = 0). This number is also the "b" from the equation for a line: y = m*x + b. Your problem contains the phrase "starting at 80 degrees Fahrenheit," so our Y-intercept is b = 80 degrees Fahrenheit.
The next thing to look for is the slope, m. The slope of the line explains how fast it changes. A very big (or very negative) value of m means a steeper line; a value of m closer to zero means a line that looks more horizontal (i.e. it doesn't change very fast). In your problem, the temperature "dropped 3 degrees per minute." Because the temperature is getting lower as time passes, the slope of the line will be negative. So, m = -3 degrees Fahrenheit per minute.
100 POINTS! WILL MARK BRAINLIEST AND THANKS (reuploaded I forgot some info last time)
Qamar has enough lacquer to coat 600 square feet of flooring. Her client wants her
to build a room in the shape of a parallelogram.
C) Will Qamar have enough lacquer to cover the floor below? (pictured)
D) Justify your answer.
E) If your answer is “No,” how much more lacquer does she need? If your answer is
“Yes,” how much lacquer will she have left over? Show your work to justify your
answer.
Answer:
Step-by-step explanation: i Show you every step in the picture i just sent
Answer:
Step-by-step explanation: I don't know how to work on this
Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .
The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ x² + 2x + 1
Factorize the expression, then the factor of the expression will be
⇒ x² + x + x + 1
⇒ x(x + 1)x + 1(x + 1)
⇒ (x + 1)(x + 1)
⇒ (x + 1)²
The product of two binomials will be (x + 1) and (x + 1).
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A tank in the shape of an inverted cone 12 feet tall and 3 feet in radius is full of water. Calculate the work W required to pump all the water over the edge of the tank.
The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.
To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.
First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:
V = (1/3)π(3²)(12)
= (1/3)π(9)(12)
= 36π
Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:
m = (36π)(62.4)
≈ 22619.47 pounds
Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:
W = (22619.47)(12)
≈ 271433.64 foot-pounds
Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.
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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.
Explanation:The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).
In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.
The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.
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A local farmer had a mouse problem in his barn. He estimated there were about 800 mice to start with. He adopted some cats and noticed that the number of mice was decreasing by 8%/wk. The graph models the number of mice x weeks after the farmer adopted the cats.
Identify and interpret the key features of the exponential function modeled in terms of this situation.
Select each correct answer.
Question 3 options:
The asymptote indicates that as the number of weeks the farmer has had the cats increases, the population of mice approaches 0.
The y-intercept represents the number of mice the farmer had in the barn at the time he adopted the cats.
The line x = 0 is an asymptote of the graph.
The point (0,30) contains the x-intercept.
The line y = 0 is an asymptote of the graph.
The y-intercept is 800.
The asymptote indicates that there were never more than 800 mice in existence.
The asymptote tells us the number of mice will approach zero as cats increased y-intercept shows the number of mice with zero cats and the asymptote is y = 0 thus option (A),(B), and (E) is correct.
What is a graph?The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.
For example plot of y = x³ ,y = sinx.
The given graph of the number of mice in the number of weeks the cat adopted.
The asymptote of the graph is y = 0.
The asymptote tells that the number of the mouse will become zero when the number of cats becomes infinite.
Hence "The asymptote tells us the number of mice will approach zero as cats increased y-intercept shows the number of mice with zero cats and the asymptote is y = 0".
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2. Translate the sentence to function notation:
The cost of shipping depends on the distance shipped.
Answer:
see the explanation below
Step-by-step explanation:
The expression for the cost can be given as
y=mx+c
where x= the distance
m= the cost to move x distance
c= the fixed cost
Therefore the total cost to ship the cost will be y
Evaluate (49/64)12. Enter your answer as a fraction, like this: 3/14
Answer:
\(9\frac{3}{16}\)
Step-by-step explanation:
My steps are shown below.
\(\frac{49}{64}(12)\)
\(\frac{49}{64} * \frac{12}{1}\)
\(\frac{49*12}{64}\)
\(\frac{588}{64}\)
\(9\frac{12}{64}\)
\(9\frac{3}{16}\)
Hopefully that was helpful! Let me know if you have any more questions.
Which of the triangles shown are scalene triangles? (2 points)
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
Triangle A and Triangle B
Triangle C
Triangle B and Triangle D
Triangle D
Answer:
Triangle D.
Step-by-step explanation:
A scalene triangle has different sides.
Find the Volume please help
I need help please. I don’t know the answer to the question
The angle 1 can be named as follows:
∠RST
∠TSR
∠S
How to name angles?There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.
Therefore, let's name the angle 1 indicated on the diagram as follows:
Hence, the different ways to name the angle 1 is as follows:
∠RST or ∠TSR
Or
∠S
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a student evoluated -4 + x for x = -9 and got an answer of 5. what might the student have done wrong
Answer:
The student may have forgotten the negative signs.
Step-by-step explanation:
Obviously, 4+5 = 9. However, this student may have forgotten that negative plus negative is equal to further negative, which is what we want. Instead, the answer 5 was provided, which leads to an incorrect sum of 1.
Help me please help me
Answer:
h=5/18
Step-by-step explanation:
Hi there!
If you try to solve 1/2-h=2/9 for h immediately, you will find that you cannot because the denominator is odd for 2/9. Multiply 2 for the numerator and the denominator to get 4/18. Now we have 1/2-h=4/18. Multiply the numerator and denominator by 9 to get 9/18-h=4/18. H=5/18.
Answer:
\(\boxed{h=\dfrac{5}{18}}\)
Step-by-step explanation:
\(\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\)
1. Subact \(\dfrac{1}{2}\) from both sides:
\(\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\\\\\textsf {$\dfrac{1}{2}-\dfrac{1}{2} - h$ = $\dfrac{2}{9} -\dfrac{1}{2}$}\\\\\textsf {$-h$ = $\dfrac{4-9}{18}$}\\\\\textsf {$-h$ = $\dfrac{-5}{18}$}\)
2. Divide both sides by -1
\(\textsf {$-h$ = $\dfrac{-5}{18}$}\\\div -1 \div-1\\\\ \boxed{h=\dfrac{5}{18}}\)
Final answer: \(\boxed{h=\dfrac{5}{18}}\)
Hope this helps!
Meeta buys a ticket for the movie and a popcorn, which costs $6. She spends $16.50 in all. How much was the movie ticket?
Answer:
10.50
Step-by-step explanation:
16.50-6