The characteristic of certificates of deposit (CDs) is that it last for a set period of time and is denoted as option B.
What is Certificate of deposit?This is also referred to as time deposit and is characterized by a lump sum being saved at a fixed period of time and is stricter than the normal savings system.
This type of savings has a fixed interest rate and can't be withdrawn before the maturity date unlike savings account which can be accessed at any point in time which makes it unique and is therefore the most appropriate choice.
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How do you draw a perpendicular line in Class 7?
A perpendicular line is one that is perpendicular or 90 degrees to another line. In order to draw a perpendicular line in Class 7, it is important to understand the formula and calculation associated with it.
The formula associated with perpendicular lines is that the product of the slope of the two lines must be equal to -1. This means that if one line has a slope of m1, then the slope of the perpendicular line must be -1/m1.
In order to calculate the slope of a line, we must use the formula m = (y2-y1)/(x2-x1), where m is the slope, (x1,y1) is the first point, and (x2,y2) is the second point. With this information, we can use the formula to calculate the slope of the line we want to draw a perpendicular line to, and then use the formula m = -1/m1 to calculate the slope of the perpendicular line.
Finally, with the slope of the perpendicular line, we can use the point-slope form of the equation of a line, y-y1=m(x-x1), to plot the equation of the line and draw it on the graph. This formula can be used to draw a perpendicular line in Class 7.
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What is the oldest prime number?
The concept of the oldest prime numbers is an ancient one and has been known since ancient times. The ancient Greeks were the first to systematically study prime numbers
The largest and oldest data collection in mathematics is prime numbers. What is it about them that has intrigued mathematicians for millennia?
They were very much aware of the existence of prime numbers and the fundamental theorem of arithmetic, the statement that every positive integer greater than 1 can be represented uniquely as the product of primes. So, it is hard to determine the oldest prime number known, but it's been studied throughout human history.
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What are the 6 types of math?
Therefore , the problem of mathematics comes out to be Algebra , geometry , trigonometry and etc.
What exactly is mathematics?In the study of mathematics, a variety of subjects are studied, including numbers, figures, logic, quantity, equations, and arrangements. Through the use of numerical variable computations, math enables students to find answers to issues.
Here,
Thus the 6 main branches of pure mathematics are
1) Algebra
2) Geometry.
3) Trigonometry.
4) Calculus.
5) Probability and
6)statistics.
the solution of the given problem is Algebra , geometry , trigonometry , calculus , probability and statistics.
Therefore , the problem of mathematics comes out to be Algebra , geometry , trigonometry and etc.
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Which graph could be the graph of f(x)
The graph which could be the graph of the polynomial f( x) with roots-8,-5, 1, and 2 is Graph 4.
What is Polynomial function?
A polynomial function is a function that involves onlynon-negative integer powers or only positive integer expounders of a variable in an equation like the quadratic equation, boxy equation, etc. For illustration, 2x 5 is a polynomial that has exponent equal to 1.
Given that;
Root of polynomial = 4.
This means that the polynomial f( x) has 4 roots.
Now, when f( x) = 0, we're told that the 4 roots are;
x = -8
x = -5
x = 1
x = 2
Now, the roots of a polynomial on a graph are the points where the graph wind crosses the x- axis which are called the x-intercepts. Looking at all the given graphs, the only bone that crosses the x-axis at the points x = -8, x = -5, x = 1 and x = 2 is the last graph which is Graph 4. In conclusion, the graph of the polynomial f( x) with roots-8,-5, 1, and 2 is Graph 4.
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Original function: F= 9/5C+32
Inverse function: C=F−32·5/9
Suppose we want to find the temperature in Celsius when it is 10 degrees Fahrenheit and when it is 90 degrees Fahrenheit. Which equation would you use? Why?
The inverse function is used to find the temperature in Celsius,
the temperature in celsius is -12.22°C and 32.22°C.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator).
Given expression for temperature calculation
Original function: F = 9/5C + 32
Inverse function: C = (F − 32)5/9
where C is temp. in Celsius and F is temp. in Fahrenheit,
so when the temperature is given in Fahrenheit we have to use the inverse function formula to calculate the temperature in degree celsius,
because it will be easy to calculate.
temperature = 10°F
C = (F − 32)5/9
C = (10 - 32)5/9
C = -22 x 5/9
C = -12.22°C
when temperature = 90°F
C = (90 - 32)5/9
C = 32.22°C
Hence the temperature is -12.22°C and 32.22°C.
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Question 1 (Multiple Choice Worth 1 points)
(03.01 MC)
Simplify √5 (8+3√6).
8√5 +3√30
O 5√10
130
O√40+15√6
So, the answer after simplifying the given square root equation is 8√5 + 3√30.
Define square.A square has four equal sides, and four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.
What are vertices?A vertex is a location in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra.
Solving,
√5 (8+3√6)
= √5 * 8 + √5 * 3√6
= 8 * √5 + √5 * 3√6
= 8√5 + 3√5*6
= 8√5 + 3√30
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Evaluate the expression: 5 + 3 × (5 - 2) 2
32
72
36
16
Triangle HIJ has ∠I = 17° and ∠H = 84°. Find m∠ J.
how much does the job pay in a 8hour day if they have 5 employees working $25 a hr
Answer:
1000$
Step-by-step explanation:
1000$
Calculate the area of the quadrilateral.
Part A
Melissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of the garden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden’s width to exceed the width of the tomato patch by 5 feet.
Let x represent the length, in feet, of the square tomato patch.
Write expressions to represent the length and width of Melissa’s vegetable garden in terms of x.
Enter the correct answer in the box.
y = ____
The length of the vegetable garden as a function of its length will be given as: y = 3x + 2
What is the expressions to represent the length and width of Melissa’s vegetable garden in terms of x?The expression of the garden width in terms of the width of the tomato patch is given as:
y = x + 5
Let the length of the garden be y
Let the length of the tomato patch be x
If Melissa wants the length of the garden to exceed three times the length of the tomato patch by 2 feet, the length of the vegetable garden as a function of its length will be given as:
y = 3x + 2
Therefore, If she also wants the garden's width to exceed the width of the tomato patch by 5 feet, the expression of the garden width in terms of the width of the tomato patch is given as:
y = x + 5
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What are 2 types of coordinate reference systems?
The two main types of coordinate systems used in mathematics and physics are Cartesian and Polar Coordinates.
What is coordinates system?A coordinate system is a system used to identify and locate a point in space. It is the basis for maps, navigation and surveying. Coordinate systems can be two-dimensional or three-dimensional, and can use a variety of units such as latitude, longitude, and feet. Coordinate systems are used in a variety of fields such as engineering, architecture, geology, and navigation. Coordinate systems help to identify and locate points in space and are essential for charting and mapping the physical world.
Cartesian Coordinates, named after the French mathematician and philosopher René Descartes, use a two-dimensional plane to represent points with an x-axis and a y-axis. These coordinates are expressed as ordered pairs (x,y) and represent points in relation to the origin (0,0). This can be used to plot graphs and equations, and is the most commonly used coordinate system.
Polar Coordinates are based on a two-dimensional plane centered on a pole. Points are expressed as ordered pairs (r,θ) where r is the distance from the pole and θ is the angle from the polar axis. This coordinate system is useful for finding distances and angles in a circle. It is used frequently in physics and astronomy.
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2. Match the picture of the triangle to the correct name for its center. 1. Orthocenter 2. Incenter 3. Circumcenter 4. Centroid
Centroid, Incenter, Circumcenter,Orthocenter are the name of its center
Explain centers are defined for a triangle?OrthocenterThe orthocenter is the intersection of the altitudes of the triangle. Each altitude intersects a vertex and is orthogonal to the opposite side. The orthocenter will not be inside the triangle if the triangle is obtuse. The orthocenter of a right triangle is the right-angle vertex.IncenterThe incenter is the center of an inscribed circle of a triangle. The incenter must be the same distance from each side, so will be at the point of intersection of the angle bisectors. It always lies inside the triangle.CentroidThe centroid is the "center of gravity" of the triangle, the point at which the triangle could be balanced. Each median divides the triangle into two equal areas, so the intersection of medians marks a spot with equal area (weight) in every pair of opposite directions.CircumcenterThe circumcenter is the center of a circle that circumscribes the triangle. It is equidistant from the three vertices, so lies on the intersection of the perpendicular bisectors of the sides. It will lie outside the triangle for obtuse triangles. It is the midpoint of the hypotenuse of a right triangle.
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Find the coordinates of the vertices of the figure after the given transformation.
Dilation of 0.25
Answer:
Option 3
Step-by-step explanation:
Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor [tex]k[/tex] centered at the origin, [tex](x,y) \to (kx,ky)[/tex].
After dilation of with a scale factor of 0.25 the pre image coordinates
V (1, 1), W (2, -2) T ( 4, 2) and U(3, 3) transformed to
V' (0.25, 0.25)
W' (0.5, -0.5)
T' (1, 0.5)
U' (0.75, 0.75)
How to find the coordinates after dilationDilation is a method of transformation that magnify or shrink the preimage depending on the scale factor
In dilation, transformation rule is as follows
(x, y) for a scale factor of r → (rx, ry)
following similar the rule for r = 0.25 we have
preimage image
V (1, 1) → (0.25 * 1, 0.25 * 1) → V' (0.25, 0.25)
W (2, 2) → (0.25 * 2, 0.25 * -2) → W' (0.5, -0.5)
T (4, 2) → (0.25 * 4, 0.25 * 2) → T' (1, 0.5)
U (3, 3) → (0.25 * 3, 0.25 * 3) → U' (0.75, 0.75)
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Two parallel train tracks, S and T, are cut by another train track, U. The train track U creates an interior angle of 101 with track S.
How can you use this information to solve for the measure of the same side interior angle made by track T and track U?
The measure of the same side interior angle made by track T and track U is; 79 degrees
How to find same side interior angles?Same side interior angles are defined as two angles that are on the interior of or between the two lines and particularly on the same side of the transversal. The same-side interior angles usually sum up to 180 degrees. Finally, when two parallel lines are intersected by a transversal line they will form 4 interior angles.
Now, we are told that the train track U creates an interior angle of 101 with track S.
Thus, using same side interior angles definition, the measure of the same side interior angle made by track T and track U is;
same side interior angle = 180 - 101
= 79 degrees
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28. From the four numbers below, Maria chose one number. The number is even and none of its digits are the same. The hundreds digit is triple the ones digit. The tens digit is greater than the thousands digit. Which number did Maria choose? A. 3672 B. 4983 C. 2682 D. 8462
Answer:
Maria chose C. 2682
Step-by-step explanation:
A group of friend went to lunch. The bill before ale tax and tip wa $37. 50. A ale tax of 8% wa added. The group then tipped 18% on the amount after the ale tax wa added. What wa the amount, in dollar, of the ale tax?
What wa the total amount the group paid, including tax and tip?
As per the given tax percentage, the sales tax is $3 and the total amount paid by the group including the tip is $47.25
Here we have given that the bill before sale tax and tip is $37.50.
Here we have know that there was a tax of 8%.
And the there was a tip of 18%.
As we all know that the tip is after the tax, then it's not going to affect it, and we can essentially ignore it.
Therefore here the real question here is just what is 8% of $37.50.
Now, here we have to find the percent of something, then first you need to put the percent as a decimal.
Then we get the 8% in decimal form is 0.08 where as 18% as 0.18
Now, we have to multiply the percent in decimal form by the number.
Then we get,
=> 37.50 dollars × 0.08 = 3 dollars.
=> 37.50 dollars × 0.18 = 6.75 dollars.
And the total amount pair is calculated as,
=> 37.50 + 3 + 6.75
=> 47.25
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An inflatable ball can be modeled as a hollow sphere. Miguel
measures the outer diameter of the ball to be 50 cm. If the
material that makes up the ball has a thickness of 1.25 cm, find
the total volume of material that makes up the ball. Round your
answer to the nearest hundredth if necessary. (Note: diagram is
not drawn to scale.)
we can find the total volume of material that makes up the ball by subtracting the volume of the hollow space from the volume of the sphere:
V = 20,834 cm^3 - 19,848.44 cm^3
= 985.56 cm^3
what is volume?Volume is a measure of the amount of space occupied by an object or a substance. It is typically measured in units such as cubic meters (m^3), cubic centimeters (cm^3), or cubic feet (ft^3).
What is diameter?Diameter is a measure of the distance across the widest part of a circular object, such as a circle or a sphere. It is equal to twice the radius of the object and is typically measured in units such as millimeters (mm), centimeters (cm), or inches (in). It is a linear measurement.
To find the total volume of material that makes up the ball, we need to find the volume of the sphere and then subtract the volume of the hollow space in the center.
We can begin by calculating the volume of the sphere using the formula for the volume of a sphere:
V = (4/3) * pi * r^3
Where V is the volume, pi is approximately 3.14, and r is the radius of the sphere.
The outer diameter of the ball is 50 cm, so the radius of the sphere is (50/2) = 25 cm.
Substituting these values into the formula, we get:
V = (4/3) * 3.14 * (25 cm)^3
= (4/3) * 3.14 * 15,625 cm^3
= 20,834 cm^3
Next, we need to find the volume of the hollow space in the center of the ball, which is the same as the volume of a smaller sphere with a radius of (25 cm - 1.25 cm) = 23.75 cm.
So the volume of the hollow space is :
V = (4/3) * pi * (23.75 cm)^3
= (4/3) * 3.14 * (23.75 cm)^3
= 19,848.44 cm^3
Finally, we can find the total volume of material that makes up the ball by subtracting the volume of the hollow space from the volume of the sphere:
V = 20,834 cm^3 - 19,848.44 cm^3
= 985.56 cm^3
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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: f (x) = negative 9 x squared + 7 x.
Examining the function -9x² + 7x the parabolic curve is opening downwards and the y intercept is 7/9 and 0
Where to look for the y interceptsThe sign of the x2 coefficient determines whether a parabolic curve opens upward or downward in this scenario.
In this function, the coefficient of x2 is a and is -9.
Rising downwards results from a negative coefficient, while opening upwards from a positive coefficient
The intercept of y
-9x² + 7x = 0
x(-9x + 7) = 0
x = 0
-9x + 7 = 0
-9x = -7
x = 7/9
Therfore, Examining the function -9x² + 7x , 0 and 7/9 is the y intercept.
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. Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?
Choose all answers that are correct.
A. (−6, −14)
B. (−1, −7)
C. (4, 10)
D. (7, 9)
Answer:
A and B
Step-by-step explanation:
to determine which pairs are solutions , substitute the x and y coordinates into the left side of the equation and if equal to the right side then solution.
A (- 6, - 14 )
7(- 6) - 5(- 14) = - 42 + 70 = 28 ← true , so solution
B (- 1, - 7 )
7(- 1) - 5(- 7) = - 7 + 35 = 28 ← true , so solution
C (4, 10 )
7(4) - 5(10) = 28 - 50 = - 22 ≠ 28 , not a solution
D (7, 9 )
7(7) - 5(9) = 49 - 45 = 4 ≠ 28 , not a solution
Do the lengths 5 12 and 13 form a right triangle?
The lengths 5, 13 and 12 can form a right angled triangle as they follow Pythagoras theorem.
The lengths can form a right triangle if they follow Pythagoras theorem. The longest side will be hypotenuse which is 13. Remaining will be base and height.
Pythagoras theorem -
Perpendicular² = Base² + Height²
Keep the values in formula
13² = 12² + 5²
Taking square on each side of the equation
169 = 144 + 25
Performing addition on Right Hand Side of the equation
169 = 169
Thus, the righ triangle can be formed based on the mentioned dimensions.
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the equation?
Does the point (51, 2) satisfy the equation y = 3x + 45?
yes
no
Please help i need to pass the geometry
The difference of x and one third is greater than or equal to one third of x
value of x is greater than or equal to half.
What is inequality?A mathematical expression shows the unequal comparison between two or more terms.
Inequalities can be greater than, less than, greater than or equal and less than or equal.
What is the expression of the above inequality?The difference of x and one third is greater than or equal to one third of x.
The statement can be written as x -1/3 ≥ x1/3
x -1/3 ≥ x/3
x - x/3 - 1/3 ≥ x/3- x/3 [ subtract x/3 from both parts]
2x/3 - 1/3 ≥ 0
now add 1/3 on both parts
we get, 2x/3 -1/3 + 1/3 ≥1/3
2x/3 ≥ 1/3
2x ≥ 1
x ≥1/2
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CALC HELP SEE PHOTO!!!
=================================================
Explanation:
Matrix C has 3 rows and 2 columns. The size or dimensions can be written in shorthand as 3x2.
Matrix D has dimensions 2x1, aka 2 rows and 1 column.
-------------------
Write "3x2" and "2x1" side by side in that exact order.
Notice the inner '2's match up. This is important. We need the inner numbers to match so that matrix multiplication is possible. The outer values '3' and '1' will help form the dimensions of the final answer matrix. The final answer matrix will have dimensions 3x1
Luckily we don't need to compute the value of CD. We just need to use the justification mentioned in the previous paragraphs to conclude that matrix CD is possible.
-------------------
Something like BC is not possible because B is 3x2 and C is 3x2. We don't have a match of inner values this time. We can then rule out the answer choice "BC". The answer choices "DC" and "CB" are ruled out for similar reasoning.
Jordan plotted the graph below to show the relationship between the temperature of his city and the number of cups of hot chocolate he sold daily.
Part A: In your own words, describe the relationship between the temperature the city and the number cups hot chocolate sold.
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept the line best fit. Show your work, including the points that you use to calculate the slope and y-intercept
Every 10 degrees higher in temperature, the slope would be around -3 so draw a line from (40,20) to (80,8) .
what is slope ?How steep a line is defined by its slope. Gradient overflow is a term used to describe a gradient-based mathematical equation (the change in y divided by the change in x). The slope is calculated by dividing the horizontal change (run) between two points by the vertical change (rise) between the same two points. The slope-intercept form of an equation is used to express the equation of a straight line, which is written as y = mx + b. The line's y-intercept is situated where the slope is m, b is b, and (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 (0, 7).
givenI won't use (40,2) because it is an extreme case.
If I were to draw a line from those points, I would roughly estimate that it would have the same number of dots above and below the line, indicating that it is a line of best fit.
Every 10 degrees higher in temperature, the slope would be around -3 so draw a line from (40,20) to (80,8) .
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Which of the following is not a Pythagorean triplet 3 4 5 6 8 10 8 15 16 10 24 26?
Answer:
8, 15, 16
Step-by-step explanation:
8, 15, 16 is not a Pythagorean triple because it doesn't satisfy the Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex]
When we plug this set of numbers into the theorem:
[tex]8^2 + 15^2 \stackrel{?}{=} 16^2[/tex]
[tex]289 \neq 256[/tex]
we get an inequality, not an equality which would make this set of numbers a Pythagorean triple.
Note that all of the other given triples satisfy the Pythagorean Theorem.
On a standardized test with a normal distribution, the mean
is 20 and the standard deviation is 2.6. In which interval
would the greatest number of scores occur?
Answer: The interval in which the greatest number of scores would occur is between (20 - 2.6) and (20 + 2.6), which is approximately 17.4 and 22.6 respectively. This interval is also known as the "bell curve" or the "normal distribution curve" and it is centered at the mean (20) and covers approximately 68% of all possible scores. Most of the data points would fall within one standard deviation of the mean, hence the greatest number of scores would occur in this interval.
Step-by-step explanation:
How do you find the area of a triangle with 3 vectors?
The area of the triangle is equal to: Area = (|A| x |B| x sin(θ))/2
To calculate the area of a triangle with 3 vectors, we will use the vector triple product formula. This formula states that the area of the triangle is equal to the magnitude of the cross product of two of the vectors divided by two.
Let's say we have three vectors A, B, and C. The area of the triangle is then equal to the magnitude of the cross product of vector A and B, divided by two.
The magnitude of the cross product of A and B can be calculated as follows:
Magnitude of (A x B) = |A| x |B| x sin(θ)
Where |A| and |B| are the magnitudes of vectors A and B, and θ is the angle between them.
Therefore, the area of the triangle is equal to:
Area = (|A| x |B| x sin(θ))/2
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How do I write eight more than three times the sum of a number and one in simplified form 
Therefore , the solution to the given problem of equation comes out to be4x-3y = 6 as a standard equation in all the above options.
An equation's definitionAn equation is a representation of two identical variables in mathematics, one on either side of an equals sign. Common difficulties can be solved using equations. We frequently seek pre algebra help when faced with obstacles in real life. Lessons in pre-algebra cover the basics of mathematics.
Here,
Given : 4x-3y = 6
-4x + 2y =8
=> y = 4/5x + 4
=> 4/5x + 2y = 6
Thus ,
From the above following equations we get ,
4x-3y = 6
as a standard equation in all the above options.
Therefore , the solution to the given problem of equation comes out to be 4x-3y = 6 as a standard equation in all the above options.
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On solving the provided question, we can say that the equation that cab be formed the data is as 8 > 3x => x>2.6666666667
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation that cab be formed the data is as
eight more than three times the sum of a number
let the number be x.
8 > 3x
x> 8/3
x>2.6666666667
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