Answer:
The new point would be (-5,-5)
Step-by-step explanation:
i have big brain
Answer: (-5, -5)
Step-by-step explanation:
-4 + -1
-3 + -2
-5, -5
Which is an equation?
17 + 2
45÷x
x < 42
2x = 19
Here, in the provided question, 2x = 19 is an equation.
This is because it consists of an equality (=) sign.
Write an equation for the function graphed below
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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HELP! Does the pythagorean theorem work for every triangle or just for right triangles?
a. everytriangle
b. only right triangles
Answer:
This is so easy!
ONLY RIGHT TRIANGLES
Did you really ask this question?
Tip: You should learn the basics first.
Ahmad will spend at most $30 on gifts so far he has spent $13 what are the possible additional amounts he will spend?
Answer:
$15
Step-by-step explanation:
Budget = $30
Spent = $13
--------------------------
30 - 15 = $15
Ahmad will spend $15 additional dollars.
The circumference of the cylinder below is 6 cm and the height is 8 cm. What is the curved surface area of the cylinder? If your answer is a decimal, give it to 1 d.p. circumference = 6 cm
8 cm
The curved surface area of the cylinder is 48.06 cm².
The circumference of a cylinder is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the base.
In this case, the given circumference is 6 cm.
So, 6 = 2πr
r = 6 / (2π)
r ≈ 0.955 cm
Now, the curved surface area (CSA) of the cylinder using the formula:
CSA = 2πrh
Given the height as 8 cm, we can substitute the values into the formula:
CSA = 2π(0.955 cm)(8 cm)
CSA ≈ 48.06 cm²
Therefore, the curved surface area of the cylinder is 48.06 cm².
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After going through this module, you are expected to:
1. Describe principal roots and tells whether they are rational or irrational
2. Determine between what two integers the square root of a number is.
3. Plot irrational numbers on the number line.
1
Square Root
WEEK
3
6
Count the total number of squares of the
chess board. Prove that it has a total of 204
squares.
D
Recall that a rati
Answer:
See below
Step-by-step explanation:
Number of squares:
1x1 squares = 8*8 2x2 squares = 7*73x3 squares = 6*64x4 squares = 5*55x5 squares = 4*46x6 squares = 3*37x7 squares = 2*28x8 square = 1Total number:
8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =204squares numbers:
1x1 squares = 8*8
2x2 squares = 7*7
3x3 squares = 6*6
4x4 squares = 5*5
5x5 squares = 4*4
6x6 squares = 3*3
7x7 squares = 2*2
8x8 square = 1
number total:
8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =
64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =
204
Which ordered pair is a solution to the system of linear equations? x + 4y = 3 y = −4x − 3 (1, 1) (1, −1) (−1, 1) (−1, −1)
Answer:
(-1,1)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
equation form:
x=-1, y=1
have a great day and thx for your inquiry :)
By substituting each of the provided options into the given system of linear equations, it is revealed that the ordered pair (-1, 1) is a valid solution for both the equations.
The correct answer is (-1, 1)
In mathematics, a system of linear equations consists of multiple linear equations with the same variables. These equations describe various relationships among these variables, typically representing lines in a multi-dimensional space. Solving such systems involves finding values for the variables that satisfy all equations simultaneously. Methods like substitution, elimination, or matrix algebra can be used to solve these systems. These systems are fundamental in fields like physics, engineering, economics, and computer science for modeling and solving real-world problems involving multiple interconnected variables.
We can solve this problem by substituting values from the given options into the equations and checking for which option both equations are valid. The system of linear equations is: x + 4y = 3 and y = -4x - 3.
Option (1, 1): For x = 1 and y = 1, our system becomes 1 + 4*1 = 5 and y = -4*1 - 3 = -7. Both do not hold true.Option (1, -1): For x = 1 and y = -1, our system becomes 1 + 4*-1 = -3 and y = -4*1 - 3 = -7. Both do not hold true.Option (-1, 1): For x = -1 and y = 1, our system becomes -1 + 4*1 = 3 (correct) and y = -4*-1 - 3 = 1 (correct). Thus, option (-1, 1) is a solution to the system of equations.Option (-1, -1): For x = -1 and y = -1, our system becomes -1 + 4*-1 = -5 and y = -4*-1 - 3 = 1. Both do not hold true.Therefore, the ordered pair that is a solution to the system of linear equations is (-1, 1).
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que significa la h en 0.5
Answer:
the variable for it
Step-by-step explanation:
Answer:
H es una variable. ¡Marque como más inteligente! <3
Write 0.00000711 in scientific notation.
Answer:
7.11 x 10^-6
Step-by-step explanation:
In (Triangle)QRS,
Please explain
Answer: Triangle QRS is an isosceles triangle because QR = RS.
. Step-by-step explanation: Find the length of each side of the triangle using the formula for calculating the distance between two points.
Step-by-step explanation:
Write 2^60 as an exponent with a base of: b 16
Answer:
im pretty sure you tried to say
Write 2^60 as an exponent with a base of:
a) 8
b) 16
c) 32
the answer is :
8^20 (eight to the twentieth power)
\(2^{60}\) is equivalent to \(16^{15}\).
We can rewrite the expression by means of the following power property, that is to say:
\(a^{b\cdot c} = (a^{b})^c\), \(a, b, c\in \mathbb{N}\) (1)
Where \(a\) and \(a^{b}\) are bases.
If we know that \(a = 2\) and \(b\cdot c = 60\), then the equivalent expression is:
\(2^{60} = 2^{4\cdot 15} = (2^{4})^{15} = 16^{15}\)
Hence, \(2^{60}\) is equivalent to \(16^{15}\).
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What is the solution to the following inequality?
|3x -8|< 2
Answers below
Answer:
Step-by-step explanation:
B
can anyone solve these and show work? please help a girl out lol
HELP ASAP
What is the area of the shaded region?
(2571 - 48) cm
O (2517 - 30) cm
(2517 - 24) cm
(257-12) cm
Answer:
Step-by-step explanation:
We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:
Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:
5^2 = 3^2 + x^2
x = 4
The radius is 4 + 1 cm = 5 cm
So the area of the circle is A = pi*r^2
A = 3.14 * (5)^2
A = 25pi cm^2
To solve for the area of the shaded region:
Ashaded = Acircle - Atriangles
we need to solve for the area of the triangles:
A = 1/2 *b*h
A = 1/2 *6 * 5
A = 15 cm^2
Atriangles = 2 * 15
Atriangles = 30 cm^2
Ashaded = 25pi - 30
A math situation for 72x12=864
A math situation for the given product could be:
"Matt wants to by 72 books that costs $12 each but he has $800 to spend, does Matt have enough to buy all the 72 books?"F(x)=x^2+6x+8 What are the zeroes of the function? Write the smaller x first, and the larger x second
Find the surface area of a cylinder pls
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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187²–87² without using mathematical table or calculator
27.400
Step-by-step explanation:
187X187 = 34.969
87X87=7.569
34.969 - 7569 = 27.400
Use the identity
(a + b)² = a ² + 2ab + b ²
Then rewrite 187² as
187² = (100 + 87)² = 100² + 2•100•87 + 87²
Subtract 87² eliminates the last term from above, so we're left with
(100² + 2•100•87 + 87²) - 87²
= 100² + 2•100•87
= 10000 + 2•8700
= 10000 + 17400
= 27400
What is the volume of this cylinder? 40yd 11yd
Use ≈ 3.14 and round your answer to the nearest hundredth.
Volume of the cylinder is 15197.60(to the nearest hundredth).
What is cylinder?
In mathematics, Cylinder is the basic 3d shapes, which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.
Given that the radius of the cylinder is 11yd.
and the height of the cylinder is 40yd.
Formula for the volume of cylinder is π × r² × h where π=3.14, r= radius and h= height.
Putting the values we get,
Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.
= 15197.6
Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).
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What is the inverse of each statement below: Be sure to label your
answers as a, b, c, and d.
a.) Add 25
b.) Divide -18
c.) Subtract 3
d.) Multiply 14
The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.
What is the inverse of maths tools?Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.
For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.
Therefore, a) The inverse of “Add 25” would be “Subtract 25.”What is the b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”
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PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
External angle= 110º
Step-by-step explanation:
Sum of all angle of triangle = 180º
First you need to find t
t= 50 (see image below)
External angle ( the angle outside next to (t+20))
External angle + (t+20)= 180
External angle + 50+ 20= 180
External angle + 70 = 180
External angle= 110º
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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The more error we allow, the less precise our estimate.Therefore, as the confidence level increases, the precision of our estimate increases stays roughly the same ___________.
Answer:
Increase
Step-by-step explanation:
Precision describes the closeness of estimates from different samples, it refers to the width of the confidence interval and can aso be described as the margin of error. While the confidence level describes the accuracy.
Going for a higher confidence level will bring about a wider confidence interval, and thus lead to a less precise estimate.
Determine the intervals in which the function is decreasing
The intervals in which the function is decreasing. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\). Option 3
How do you find the interval in which the function is decreasing?We're given a function f(x) = 2 sin x - x, which describes a curve on a graph. We want to find the intervals where this curve is decreasing (going down) within the range of -π to π.
To find when the function is decreasing, we look at its slope. The slope tells us if the curve is going up or down. We find the slope by taking the first derivative of the function: f'(x) = 2 cos x - 1.
We now have an equation for the slope, f'(x) = 2 cos x - 1. A negative slope means the function is decreasing. So, we want to find where f'(x) is less than 0 (negative).
We set up the inequality: 2 cos x - 1 < 0. We solve it to find the x-values where the slope is negative. The solution is cos x < 1/2.
From the inequality cos x < 1/2, we find the intervals within the range of -π to π where the function is decreasing. These intervals are [-π, -π/3] and [π/3, π].
The above answer is in response to the question below as seen in the picture.
Determine the interval(s) in \([-\pi, \pi ]\) on
which f(x) = 2 sin x - x
is decreasing.
1. \([-\frac{\pi }{3}, \frac{\pi }{3} ]\)
2. \([-\frac{\pi }{6}, \frac{\pi }{6} ]\)
3. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\)
4. \([-\pi , -\frac{-2\pi }{3} ], [\frac{2\pi }{3}, \pi ]\)
5. \([-\pi , - \frac{5x}{6} ], [\frac{\pi }{6}, \pi ]\)
6. \([-\frac{\pi }{6}, \frac{5\pi }{6} ]\)
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Use the constant of proportionality to write an equation
that represents the amount of money earned, y, for
mowing x lawns.
Answer:
x=y
Step-by-step explanation:
mowing the lown x times will give you y money
What is the median of 3,4,5,5,7,8
How much is 15% on a bill of 57.45
Answer:
$8.62
Step-by-step explanation:
15% is practically 0.15, and when you say 15% OF 57.45, the "of" refers to multiplication. This means, 15% of 57.45 is basically 0.15*57.45, or 8.6175. Since we're talking about money, that would be rounded to $8.62
Answer:
$8.62
Step-by-step explanation:
"%" means "divide by 100"
"of" means "times"
15% of $57.45 = 0.15×$57.45 = $8.6175 ≅ $8.62
What type of number is 9090.9?
Answer:
It's a palindrome - in that it reads the same backwards as forwards - so long as the decimal point remains in the same place.
Step-by-step explanation:
toss two dice. the probability of rolling an even number on both sides is 1/2x1/2= 1/4. predict in 120 tosses how many times an even number will appear on both dice?
Answer:
Chances of both even number = 30 times
Step-by-step explanation:
Given:
Chances of both even number = 1/4
Total number of tosses = 120
Find:
How many times both dice show even number
Computation:
Chances of both even number = [Chances of both even number][Total number of tosses]
Chances of both even number = 1/4 [120]
Chances of both even number = 30 times
Review the information given based on a principal balance of $18,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800-850 12%
29
740-799 15%
33
670-739 18%
38
48
580-669 21%
300-579 28%
60
$20,160.00
$20,700.00
$21,240.00
$21,780.00
$23,040.00
Calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a
730 credit score. Round the final answer to the nearest tenth. (4 points)
O 20.0%
O 17.3%
O 19.5%
O 18.4%
Answer:
To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.
From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 15% * 33/12) = $20,700
Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 18% * 38/12) = $21,240
Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:
Percent increase = |(New value - Old value) / Old value| * 100%
Plugging in the values, we get:
Percent increase = |($21,240 - $20,700) / $20,700| * 100%
Percent increase = 2.6%
Rounding to the nearest tenth, we get the final answer as:
Percent increase = 2.6% ≈ 2.5% (rounded to the nearest tenth)
Therefore, the answer is O 2.5%.
Step-by-step explanation: