The value of the expression 0.36 × 4.2 - 0.008 ÷ 25.5 is approximately 1.5116863.
To evaluate the expression 0.36 × 4.2 - 0.008 ÷ 25.5, we follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, let's simplify the division: 0.008 ÷ 25.5 = 0.0003137 (rounded to six decimal places).
Now, we can substitute the simplified division back into the expression: 0.36 × 4.2 - 0.0003137.
Next, we perform the multiplication: 0.36 × 4.2 = 1.512.
Finally, we subtract the result of the multiplication from the simplified division: 1.512 - 0.0003137 = 1.5116863 (rounded to seven decimal places).
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Sketch the graph of the function. f(x, y) = sqrt 4 − 4x^2 − y^2
The function f(x, y) = sqrt(4 - 4x^2 - y^2) is defined over a disk of radius 2 centered at the origin in the xy-plane. The z-value of the function is always non-negative and reaches its maximum value of 2 at the origin (0,0).
This can be confirmed by noting that the partial derivatives of the function at the origin are both negative, indicating that it is a maximum. The traces of the function in the xy, yz, and xz planes are circles with radius 2 centered at the origin, with the range of the function being limited to the upper semi-circle in each of these planes.
When these traces are combined with the domain of the function, we get the graph of a paraboloid of revolution that opens downward, with a saddle point at the origin (0,0) and a maximum value of 2.
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(PLEASE HELP)The graph of F(x), shown below, resembles the graph of G(x)=x^2, but it has changed somewhat. Which of the following could be the equation of F(x)?
By analyzing the graph, we can see that the transformed function, F(x), is the one in option D.
F(x) = 2*x^2 + 3
Which of the following could be the equation of F(x)?On the graph, we can see the graphs of both equations, F(x) and G(x), where G(x) = x^2
First, we can see that the vertex of the quadratic of F(x) is at the point (0, 3).
So first we have a translation of 3 units upwards, we also can see that the parabola of F(x) is narrower (horizontally) than the one of G(x), then we must have a scale factor larger than 1 multiplying the function.
Then we have something like:
F(x) = k*G(x) + 3 = k*x^2 + 3
Where k > 1.
The only option that has this form is option D.
F(x) = 2*x^2 + 3
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Please, this is an emergency :(, Help me solve for x, y and z
Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.
Solve for x, y and z ?A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0.Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.Real or complicated solutions are both possible.
Option A , x = 7/5 and x= -1
Formula: Let ax² + bx + c = 0 be the quadratic equation,
x = [-b±√(b²-4ac)]/2a
The given quadratic equation be
5x² -2x = 7
⇒ 5x² -2x - 7 = 0
a = 5, b = -2 and c = -7
Therefore x = [-b±√(b²-4ac)]/2a
x=[-(-2) ±
√((-2)²-4*5*(-7))]/2*5
x =[2 ± √144)]/10
x =[2 ± 12)]/10
x = (2+12)/10 and x = (2-12)/10
x = 14/10 = 7/5 and x= -12/10 = -1
Therefore,the correct answer is Option A , x = 7/5 and x= -1.
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I need to know how to solve 782÷2 using the area model
What is the perimeter of trapezoid JKLM?
O√2+√5 units
O2+ √2+√5 units
O9+2√2 units
9+√2+√5 units
The perimeter of trapezoid JKLM is
9 + √(2) + √(5) units.
Option D is the correct answer.
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as 1/2 x the sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
First, we find the lengths of each side of the trapezoid.
JK = distance between points J and K
JK = √((4 - 4)² + (-4 - (-7))²) = √(9) = 3
LM = distance between points L and M
LM = √((3 - 3)² + (-8 - (-2))²) = √(36) = 6
KL = distance between points K and L
KL = √((3 - 4)² + (-2 - (-4))²) = √(5)
JM = distance between points J and M
JM = √((3 - 4)² + (-8 - (-7))²) = √(2)
Now,
We can add up the lengths of each side to find the perimeter.
Perimeter = JK + KL + LM + JM
Perimeter = 3 + √(5) + 6 + √(2)
Perimeter = 9 + √(2) + √(5)
Therefore,
The perimeter of trapezoid JKLM is
9 + √(2) + √(5) units.
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If you find sin(a) I will give brainliest
Given that tan alpha = -24/10 and pi < alpha < 2pi, we can use the trigonometric identities to find the value of sin alpha.
To what does sin equate?
In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.
Since tan alpha = -24/10, we know that sin alpha / cos alpha = -24/10
We can find the value of cos alpha by using the fact that pi < alpha < 2pi, so 0 < alpha - pi < pi.
Therefore, cos alpha = cos (alpha - pi) = -cos (alpha - pi)
We can substitute this into the equation above:
sin alpha / (-cos (alpha - pi)) = -24/10
We can then solve for sin alpha:
sin alpha = (-24/10) * (-cos (alpha - pi))
We can simplify the expression, but we cannot determine the exact value of sin alpha without knowing the value of alpha.
Note that tangent is negative in the second and third quadrant, so the angle is in the third quadrant.
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The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.
Tthe probability that the difference in the diameters of the two ball bearings is less than 0.06 mm is 0.0478
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Mean = 11.5
Standard deviation = 0.05
Let the diameters be X and Y
So, we have
P(|X - Y| < 0.06)
Using this information, we have
P(|X - Y| < 0.06) = P( -0.06 < X - Y < 0.06)
= P(X - Y < 0.06) - P(X - Y < -0.06)
= 0.0478
Hence, the probability is 0.0478
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Find the value of this expression if x = 9.
x² +9
4
x+1
Answer: x ∈ {-0.0107639, 10.3225694}
Number of pennies in a stack that is 1 ft high HELP! pls.....
Answer:
84,480 pennies!
Step-by-step explanation:
-1/3x-9>1.5-4/5x
solve the inequality
Answer: x belongs to (0, 0.4444)
Step-by-step explanation:
r=11 m h=22 m what is the volume
The volume of the given cylinder is 8358.68 m³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, radius of a cylinder is 11 m and height of a cylinder is 22 m.
We know that, the volume of a cylinder is πr²h.
Now, volume =3.14×11²×22
= 3.14×121×22
= 8358.68 m³
Therefore, the volume of the given cylinder is 8358.68 m³.
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"Your question is incomplete, probably the complete question/missing part is:"
r=11 m and h=22 m what is the volume of a cylinder?
Match The Description Below With Its Symbol(S) The Mean Of The Y-Values Select The Correct Choice Below. O A. B O B. Y O C. Y_i O D. M O E. Y_i O F. (X, Y)
The mean of y-values is referred to as [tex]\bar{y}[/tex]. So, option b is the correct choice.
A variable in a set of sample data in statistics is symbolized by the little Latin letter x. If a letter has a horizontal bar above it, it means the variable it is placed over is considered the average or mean.
We would add all of the sample data points, divide by the sample size, and then compute the x-bar, or sample mean. This is given by [tex]\bar{x}=\frac{x_1+x_2+x_3+\cdots\cdots+x_n}{n}[/tex] where n is referred to as the sample size and [tex]\bar{x}[/tex] is the sample mean.
Therefore, the central tendency of the data is represented by this [tex]\bar{x}[/tex] or the x bar. Therefore, the mean of y-values is represented by y bar or [tex]\bar{y}[/tex].
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Solve the application problem.
Find the perimeter of a rectangle with a length of 1 3/4 ft and a width of 1/3 ft.
Plsssss hellppp
The perimeter of given rectangle is [tex]$8 \frac{1}{6}$[/tex] feet.
What is Perimeter of rectangle?A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter. The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter.We are given the following information in the question:
Width of rectangle=
[tex]$1 \frac{3}{4}$[/tex] feet
Length of rectangle =
[tex]$2 \frac{1}{3}$[/tex]feet
Formula:
Perimeter of rectangle =
[tex]2 \times($ Length $+$ Width)[/tex]
Putting the values:
[tex]& 2 \times\left(1 \frac{3}{4}+2 \frac{1}{3}\right) \\[/tex]
[tex]& =2 \times\left(\frac{7}{4}+\frac{7}{3}\right) \\[/tex]
[tex]& =2 \times\left(\frac{21+28}{12}\right)[/tex]
[tex]& =2 \times \frac{49}{12} \\[/tex]
[tex]& =\frac{49}{6} \\[/tex]
[tex]& =8 \frac{1}{6}[/tex]
Hence, the perimeter of given rectangle is [tex]$8 \frac{1}{6}$[/tex] feet.
The complete question is,
A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.
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The perimeter of given rectangle is feet.
What is Perimeter of rectangle?
A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter.
There are numerous practical uses for calculating the perimeter. The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter.
We are given the following information in the question:
Width of rectangle=
feet
Length of rectangle =
feet
Formula:
Perimeter of rectangle =
Putting the values:
Hence, the perimeter of given rectangle is feet.
The complete question is,
A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.
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If Yazmin’s rate were 20 min/mi, the graph would be a straight line through
Answer:
The correct answer is 8 miles
Step-by-step explanation:
. If Yasmin runs at a pace of 7 miles per hour ... to run will always reduce down to the same fraction on a straight line
Figure R was rotated about the center shown by 180 Degrees.
Which figure is the image of R?
The rotation of figure R about its center will produce the image of R as given in option C.
Rotation of solid figures.Rotation is a type of rigid transformation which involves turning a given figure or object at a an angle about a reference point to produce an image. This process can be used to explain the question given.
Some other types of rigid transformation are; dilation, translation, reflection.
Dilation implies either increasing or decreasing the dimensions of a given object.Translation requires moving a given object in a specific direction and units. Reflection involves turning a given object about a reference point or line.All these have their distinct procedures and would be applied as expected or stated in the question.
When figure R is rotated about the center at 180 degrees, it would produce an image of R as shown in option C.
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what is the distance between points A and B ?
Answer:[tex]\sqrt{61}[/tex]
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]\sqrt{5^{2} +6^{2} } =\sqrt{25+36}=\sqrt{61}[/tex]
The distance between A and B = [tex]\sqrt{61}[/tex]
The Rockville Recruitment Agency just placed Howard Jacobson in a job as an assistant pharmacist. The job pays $61.2K. The agency fee is equal to 45% of the first three weeks
pay.
Answer:
27540
Step-by-step explanation:
yes
8.9 math question A train makes a round-trip from New Orleans to Los Angeles the train stops in Tucson during its return how many miles has the train traveled in all how many miles does the train have left to travel
When the train stops at Tucson in return trip, distance he travelled is 2378 miles and distance left for the train to travel is 1408 miles
What is distance?Distance is a measure of how far away two objects or points are from one another. In physics or daily life, the term "distance" can refer to a physical distance or an estimate based on other criteria (for example, "two counties over").
|AB| can be used to denote the distance between two points. In most situations, the distance from point B to point A can easily be used in place of the distance from point A to point B.
A distance metric or function is a way to explain what it means for elements of a space to be "far apart from" or "close to" each other. It is a generalisation of the idea of physical distance in mathematics.
If the train stops at Tucson in return trip, distance he travelled is,
d = 1893 + (1893 - 1408)
d = 2378 miles
And, miles the train have left to travel is
⇒ 1893 + 1893 - 2378
= 3786 - 2378
= 1408 miles
Thus, When the train stops at Tucson in return trip, distance he travelled is 2378 miles and distance left for the train to travel is 1408 miles.
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Find the missing coordinates such that the three vectors form an orthonormal basis for R3:
Coordinates is computed that:
a = 0
b = -0.8
c = 0
d = 0
e = 0
Calculating the missing coordinate in such a way that the three vectors for R3 are orthogonal:
[tex]\left[\begin{array}{ccc}0.6&a&b\\0.8&c&0.6\\1&-1&e\end{array}\right][/tex]
Any two vectors' dot product is zero and their norm is one on an orthogonal basis.
⇒ (-0.6, a, b) (0.8, b, c, -0.6)
⇒ -0.48 + ac - 0.6b = 0 → (1)
Similarly,
(0.8, c, -0.6) (d, -1, e)
⇒ 0.8d - c - 0.6c = 0 → (2)
Similarly,
(-0,6, a, b) (d, -1, e)
⇒ -0.6d - a + be = 0 → (3)
First Norm:
(0.6)² + a² + b² = 1
⇒ 0.36 + a² + b² = 1
⇒ a² + b² = 0.64 → (4)
Second Norm:
(0.8)² + c² + (-0.6)² = 1
⇒ 0.64 + c² + 0.36 = 1
⇒ c² + 1 = 1
⇒ c = 0
Now from equation (1), we can compute that:
(-0.48 + a) * (0 - 0.6b) = 0
⇒ -0.48 - 0.6b = 0
⇒ - (0.48 + 0.6b) = 0
⇒ 0.6b = -0.48
⇒ b = -0.48 / 0.6 = -0.8
∴ b = -0.8
From equation (4) we can compute that:
a² + b² = 0.64
⇒ a² + (-0.8)² = 0.64
⇒ a² = 0
∴ a = 0
Third Norm:
d² + 1 + e² = 1
d² + e² = 0 → (5)
From equation (3) we can infer that:
-0.6d - 0 + (-0.8e) = 0
⇒ -0.6d = 0.8e
⇒ d = -0.8e / 0.6
∴ e = -0.75d
Now we'll put this value in equation (5):
d² + (-0.75d)² = 0
⇒ d² + 0.5625d² = 0
⇒ d² (1 + 0.5625) = 0
⇒ d = 0
∴ e = 0
Therefore,
[tex]\left[\begin{array}{ccc}-0.6&0&-0.8\\0.8&0&-0.6\\0&-1&0\end{array}\right][/tex]
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Pablo’s hair was 1/2 inch long.Jason’s hair was 3 times as long. How long is Jason’s hair?PLEASE HELP QUICK
Answer:
Step-by-step explanation:
so you have 1/2 times 3 = 1.5
The Fernando family spends $800 per month on rent. If this is 15% of their monthly budget, then what is their monthly budget?
1 point
Answer:
120
Step-by-step explanation:
e. Price: $2.20
10% off
Discount amount: ????
Discount price: ????
1.
[x+2y=7
3x-2y=-3
How do you do it?
The value of x is 1 and the value of y is 3, this can be obtained using the substitution method.
What is substitution method?The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.
The given equations are:
x + 2y = 7 and 3x -2y = -3
In the given equation x + 2y = 7 isolate the value of x:
x = 7 - 2y
Substitute the value of x in 3x -2y = -3:
3( 7 - 2y) - 2y = -3
21 - 6y - 2y = -3
21 + 3 = 8y
24 = 8y
y = 3
Substitute the value of y in equation to find the value of x:
x + 2(3) = 7
x + 6 = 7
x = 1
Hence, the value of x is 1 and the value of y is 3.
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Classify the following triangle as acute, obtuse, or right.
• A. Acute
• B. Obtuse
• C. Right
D. None of these
Answer:
Right
Step-by-step explanation:
because the biggest angle of the triangle is equal 90
Answer:
C. Right angled triangle
Point P is the centroid of △LMN. Find PN and QN. QN=18
Answer:
Step-by-step explanation:
Mp, Lp, and NQ are indeed the central lines of a large briangle MNL, according the problem. Particles entersect at point P.This is referred to as a baryc enter of a friangle.And has the quality Np= 2PQ, therefore we can obtain it. When you are aware, the point p is indeed the barycenter of a large triangle, and this is an important trait.
Which of the following items describe the problems with early forms of money select all that apply
The drawbacks of early forms of money include their propensity to be easily divided and to crumble.
what is unitary method ?The unit technique is a method of problem-solving where you first calculate the value of a specific unit, then expand that value to get the answer. Simply expressed, a minimum unit value is extracted from a specified multiple using the unit method. The method used to accomplish this might be standardized. a solitary nation. anything has a distinguishing component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Logical Analysis, Mathematics of Matrix or Operators)
given
then you multiply and cross.
so,18x6= 4x
4x/4=108/4
x=27
The drawbacks of early forms of money include their propensity to be easily divided and to crumble.
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Solve the system by the addition method.
3x + 7y = -20
-3x + 6y = -6
The solution for the given system of equations is (-2, -2).
What is addition method?
Using the Addition Method to Solve Systems of Equations in Two Variables. The addition method, also known as the elimination method, is a third strategy for resolving linear equation systems. With this approach, we add two terms that share the same variable but have opposing coefficients, resulting in a sum of zero.
Given:
The system of equations,
3x + 7y = -20 ..(1)
-3x + 6y = -6 ..(2)
We have to solve this system of equations using addition method.
Adding equation (1) and (2)
3x + 7y = -20
+ -3x + 6y = -6
__________________
0 + 13y = -26
13y = -26
y = -2
Plug y = 2 in equation (1), we get
3x + 7(-2) = -20
3x - 14 = -20
3x = -20 + 14
3x = -6
x = -2
Hence, the solution for the given system of equations is (-2, -2).
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.it costs $0.50 to download an individual song and $4 to download an album. Jada has $15
to spend downloading music.
Complete the table showing three ways jada can spend $15 downloading individual songs
and albums.
Answer:
The completed table is given below and the equation for the given situation is 15=4a+0.50s.
Given that, it costs $0.50 to download an individual song and $4 to download an album.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Jada has $15 to spend downloading music.
Let s be number of songs and a be number of albums
So an equation for the given situation is 15=4a+0.50s
From table, in row 1
Given number of songs is 6
15=4a+0.50(6)
⇒ 15=4a+3
⇒ 4a=12
⇒ a=3
From table, in row 2
Given number of albums is 1
15=4(1)+0.50s
⇒ 0.50s=11
⇒ s=11/0.50
⇒ s=22
From table, in row 3
Given number of albums is 30
15=4a+0.50(30)
⇒ 15-15=4a
⇒ a=0
Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.
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Step-by-step explanation:
How do I solve this?
We can compute the integral of the velocity function's absolute value. In other words, the area under the velocity function's curve's absolute value equals the distance a particle travels.
Steps for Finding Total Distance Traveled by a Particle Over an Interval of Time During Which the Particle is in Rectilinear Motion by Using the Definite Integral of Speed Over the IntervalStep 1 Determine the moving particle's velocity function as a first step.Step 2 Determine the time period in step two.Step 3: Integrate the absolute value of the velocity function throughout the interval to determine the total distance travelled.Step 4 Find the intervals where the velocity function is negative in order to solve the integral in step four. Subdivide the time interval you determined in step 2 now.Step 5: Rewrite the integral from step 3 using the subintervals from step 4 and the additive interval property of integrals. When the absolute value signs are eliminated,Step 6 :If the velocity function is negative over the specified interval, multiply it by 1; if it is positive over the specified interval, leave the velocity function alone.
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A water tower has a volume of 982m3 . Find how many liters of water it would take to completely fill the water tower. Use the table of conversion facts, as needed. Conversion facts for volume and capacity cubic centimeter milliliter cubic decimeter liter cubic meter kiloliter
To fill up the water tower, the liters of water needed, based on the volume of the water tower, is 982, 000 liters
How to find the quantity of water ?To find the amount of water it would take to fill up the water tower, you need to convert the water tower volume from cubic meters to liters.
As per the conversion table, the cubic meters can be converted as such:
1 cubic meter = 1, 000 liters.
This means that a volume of 982 m ³ will be:
= 982 x 1, 000
= 982, 000 liters
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