Slope = change in y / change in x
Slope = (4 - -8) / (-14 - -6)
Slope = 12/-8
Simplify:
Slope = -6/4
Answer:
-3/2
Step-by-step explanation:
To find the slope, use the slope formula
m = (y2-y1)/(x2-x1)
m = (4 - -8)/(-14 - -6)
= ( 4+8)/(-14+6)
= 12/-8
-3/2
What is the following product? Will award brainliest! (4x startroot 5x^2 endroot +2x^2 startroot 6 endroot)^2
Answer:
Last option is correct
104x^4 + 16x^4√30
Step-by-step explanation:
let’s simplify what we have in the roots;
4x √(5x^2) = 4x^2 √5
(4x^2√5) + 2x^2 √(6)^2
(4x^2√5)(4x^2√5) + 4x^2√5(2x^2√6) + 2x^2√6(4x^2√5) + 2x^2√6(2x^2√6)
= (16 * x^4 * 5) + (8 * x^4 * √30) + (8 * x^4 * √30) + (4 * x^4 *6)
= 80x^4 + 8x^4 √30 + 8x^4 √30 + 24x^4
= 104x^4 + 16x^4√30
Amab deposited Rs.200 in a bank.The banker promised 4% interest per annum. How much money will he get by end of one year?
Answer: $208
Step-by-step explanation:
200 x .04 = 208
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Parallelogram
Answer:
solution given:
properties of parallelogram:
diagonal bisect each otherdiagonal are CONGRUENTat least two pair of opposite sides are CONGRUENTthe diagonal are not perpendicular.Parallelogram
Explanation:-
The answer is rectangle if we omit condition 4.
But as diagonals are not perpendicular its parallelogram.
As Rectangle has diagonals bisecting each other and perpendicular .Hello can you help me solve this question please
Answer: Radius=19.2 diameter=38.39
Step-by-step explanation: :DDD
The Garraty Company has two bond issues outstanding. Both bonds pay $100 annual interest plus $1,000 at maturity. Bond L has a maturity 15 years, and Bond S has a maturity of 1 year. a. made on Bond S. Do not round intermediate calculations. Round your answers to the nearest cent. Bond L: $ Bond S: $ made on Bond S. Do not round intermediate calculations. Round your answers to the nearest cent. Bond L: $ Bond S: \$ made on Bond S. Do not round intermediate calculations. Round your answers to the nearest cent. Bond L: \$ Bond S: \$ b. Why does the longer-term (15-year) bond fluctuate more when interest rates change than does the shorter-term bond (1 year)? I. Longer-term bonds have less interest rate risk than shorter-term bonds. II. Longer-term bonds have less reinvestment rate risk than shorter-term bonds. III. Longer-term bonds have more interest rate risk than shorter-term bonds.
Statement I is correct, while statements II and III are false. The longer-term bond (Bond L) fluctuates more due to its higher interest rate risk compared to the shorter-term bond (Bond S).
To calculate the value of Bond L and Bond S, we need more information, specifically the interest rate or yield associated with these bonds.
a. Bond prices are influenced by various factors, including the bond's face value, coupon payments, time to maturity, and prevailing interest rates. Without the interest rate or yield, we cannot determine the exact values of Bond L and Bond S.
The bond price can be calculated using the present value formula, which discounts the future cash flows of the bond to their present value.
b. The longer-term bond (Bond L) tends to fluctuate more when interest rates change compared to the shorter-term bond (Bond S) due to interest rate risk. Interest rate risk refers to the impact of changes in interest rates on the value of a bond.
I. Longer-term bonds have more interest rate risk than shorter-term bonds. This statement is true. Longer-term bonds are exposed to changes in interest rates for a more extended period, which makes their prices more sensitive to interest rate movements. When interest rates rise, the value of longer-term bonds tends to decrease more than shorter-term bonds.
II. Longer-term bonds have less reinvestment rate risk than shorter-term bonds. This statement is false. Reinvestment rate risk refers to the risk of reinvesting coupon payments at lower interest rates when the bond matures. Longer-term bonds have a higher reinvestment rate risk because they have more coupon payments to reinvest over the bond's longer lifespan.
III. Longer-term bonds have less interest rate risk than shorter-term bonds. This statement is false. As mentioned earlier, longer-term bonds have more interest rate risk because their prices are more sensitive to changes in interest rates compared to shorter-term bonds.
In summary, statement I is correct, while statements II and III are false. The longer-term bond (Bond L) fluctuates more due to its higher interest rate risk compared to the shorter-term bond (Bond S).
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how do you write a slope intercept equation with the slope of 1/2 and the points of (4,6)
Answer:
y = \(\frac{1}{2}\) x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = \(\frac{1}{2}\) so
y = \(\frac{1}{2}\) x + c ← is the partial equation
To find c substitute (4, 6) into the partial equation
6 = 2 + c ⇒ c = 6 - 2 = 4
y = \(\frac{1}{2}\) x + 4 ← equation of line
Graph the solution to this inequality on the number line.
−4m+3>11
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
What do you notice about these two triangles? What's
the same? What's different?
10
Share w
10
15
Answer:
They are the same shape and ratio, but are in different scales/size
Step-by-step explanation:
6 times a number is 27 less than the square of that number. Find the
positive solution.
Answer:
x = 9
Step-by-step explanation:
To solve these problems, you first set up an equation representing the information given.
6x = x² - 27
This turns into a quadratic equation which you need to factor out.
0 = x² - 6x - 27
You want to choose two numbers that multiply to -27, and add up to -6
0 = (x - 9)(x + 3)
If you're unfamiliar with factoring, you take the opposite sign of the number in the parentheses because it's a shortcut when setting it equal to 0.
x = 9, -3
Since it asks for the positive solution only, the answer is x = 9.
I hope this helps!
Write a list of steps that are needed to find the measure of LB.
Step-by-step explanation:
They are corresponding angle
anyone know how to do this?
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
use a right triangle calculator :)
or those math apps on yo phone (photomath )
when reading a table for bivariate analysis that displays percentages of some attributes, what is the rule of thumb for reading the table?
Bivariate table is that which shows the relationship between two variables. The rule of thumb... if the table is scaled down by percentage, read the whole thing. If the table is percentages, read it down.
Bivariate table:
A table that depicts the relationship between two variables by showing the distribution of one variable over the categories of a second variable.
Bivariate Table Primary Purpose:
A bivariate table shows the distribution of one variable over the categories of another variable.
Finally, we mentioned that univariate data can be displayed in many different ways, such as bar charts and box plots. Bivariate data, on the other hand, are usually displayed in scatter plot.
Rule of thumb:
Bivariate analysis results can be represented in form of a two-column data table.
A rule of thumb when reading spreadsheets created by others is then spreadsheet is percentage down, read the whole thing. If the table is percentages, read it down.
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if -5,3 and 5,3 are two vertices of an equilateral triangle, then find the coordinates of the third vertex, given that orgin lies inside the triangle (Take √3 = 1.7)
Therefore, The Coordinates of the THIRD VERTEX is: ( 5, -3 )
Step-by-step explanation:Calculate the midpoint of the given vertices:
MidPoint = ( -5 + 5/2, 3 + 3/2 )
MidPoint = ( 0, 3 )
Calculate the distance between the given vertices:Distance = √( -5 -5 )^2 + ( 3 - 3 )^2
Distance = √( -10 )^2 + (0)^2
Distance = √100
Distance = 10
Calculate the side length of the equilateral triangle:Side Length = 10/√3
Side Length = 10/1.7
Side Length = 5.88
Calculate the height of the Third Vertex:Height = √3/2 * Side Length
Height = 1.7/2 * 5.88
Height = 5
Calculate the Coordinates of the Third Vertex:Since the origin lies inside the triangle, The Third Vertex will have a Positive X-Coordinate and a Negative Y-Coordinate.
Now, Let the Third Vertex Be:( x, y )
Using the MidPoint Formula now we have:x = -5 + x/2
y = 3 + y/2
Solve for X and Y, we now get:x = 5
y = -3
Draw a conclusion:Hence, The Coordinate of the Third Vertex is: ( 5, -3 )
I hope this helps!
i need atleast 5 volunteers for the magic trick
What magic trick??
Are you gonna do a magic??
Sorry for a lot of questions.
pretty pls help me! pls god bless who ever answers
Answer: D
Step-by-step explanation: At the year 1993 - 1994 they only opened 100
p and q are both prime numbers with p < q.
They are each less than 18
Give an example where p + q is odd but not prime.
The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.
It is given that the value of p and q is a prime number, and p<q.
But it is also given that the value of both should be less than 18 as well as a prime number.
Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.
And it is also given that p<q.
Now we have to find the value of p + q which is odd but not a prime number.
To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.
So
p + q = 2 + 5 = 7, which is odd but it is prime
Now again, q = 7
p + q = 2 + 7 = 9 , which is odd as well as not prime.
Again take q = 11
p + q = 2 + 11 = 13, which is odd but prime
Now take q = 13
p + q = 2 + 13 = 15, which is odd as well as not prime.
Now take q = 17
p + q = 2 + 17 = 19, which is odd and prime.
Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.
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When I multiply two variables, what operation do I use for the exponents to combine them?
Answer:
Multiplying exponents with the same base
When you multiply two variables or numbers that have the same base, you simply add the exponents.
Step-by-step explanation:
What is the distance between -10 and 17 on the number line?
Find the difference:
17 - (-10) = 27
So the distance between 17 and -10 is 27.
Answer: 27
Step-by-step explanation:
Question 29
How many factors does 100 have?
10
9
6
5
Answer:
It has 9 factors.
Step-by-step explanation:
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Therefore, if you count both 1 and 100, it has 9 factors.
sin 45 x sin 60 equals to 1 minus under root 3 upon 2 under root
Answer:
Step-by-step explanation:
sin(45) x sin(60) = 1 - \(\frac{\sqrt{3}}{\sqrt{2}}\)
This equation is false...
sin(45) * sin(60) = 0.612372435
1 - \(\frac{\sqrt{3}}{\sqrt{2}}\) = -0.456475315
a collection of nickels, dimes, and quarters consist of 70 coins with a total of $ 8.00 . if there are 2 times as many dimes as quarters, find the number of each type of coins.
The number of each type of coins are as follows:
q = 15 quarters.
d = 30 dimes.
n = 25 nickels.
How to determine the number of each type of coins?In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.
Let q represent number of quarters.
Let n represent number of nickels.
Let T represent total number of coins.
Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.
Translating the word problem into an algebraic equation, we have;
Dimes; d = 2q .....equation 1.
Nickels; (70 - (q + 2q)) = (70 - 3q) .....equation 2.
Total coins; T = n + d + q
0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00
Multiplying all through by 100, we have:
5(70 - 3q) + 2q(10) + q(25) = 800
350 - 15q + 20q + 25q = 800
350 + 30q = 800
30q = 800 - 350
30q = 450
q = 450/30
q = 15 quarters.
For the number of dimes, we have:
Dimes, d = 2q
Dimes, d = 2(15)
Dimes, d = 30 dimes.
For the number of nickels, we have:
Nickels, n = (70 - 3q)
Nickels, n = (70 - 3(15))
Nickels, n = (70 - 45)
Nickels, n = 25 nickels.
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A regular polygon has an exterior angle of 20° and a side measure of 6 centimeters. What is the areas of
the polygon?
The area of the polygon is approximately 497.41 square centimeters.
Define polygonA polygon is a two-dimensional geometric shape that is made up of straight lines connected end to end to form a closed shape. A polygon must have at least three sides, and each side must intersect with exactly two other sides.
The exterior angle of a regular polygon is equal to 360 degrees divided by the number of sides. So, if the exterior angle is 20 degrees, the number of sides can be found by dividing 360 by 20, which gives us 18.
Each interior angle of a regular polygon can be found using the formula:
Interior angle = (n - 2) x 180 / n
where n is the number of sides. For an 18-sided polygon, the interior angle is:
(18 - 2) x 180 / 18 = 160 degrees
Apothem = (Side length) / (2 x tan(π/n))
where n is the number of sides. Plugging in the values, we get:
Apothem = (6) / (2 x tan(π/18)) = 6 / (2 x 0.32492) ≈ 9.2367 cm
Finally, we can use the formula for the area of a regular polygon:
Area = (1/2) x Apothem x Perimeter
where Perimeter is just the side length multiplied by the number of sides. Plugging in the values, we get:
Perimeter = Side length x Number of sides = 6 x 18 = 108 cm
Area = (1/2) x 9.2367 x 108 ≈ 497.41 cm²
Therefore, the area of the polygon is approximately 497.41 square centimeters.
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600 IS WHAT OF 900% TELL ME PLEASE I WILL GIVE POINTS AND BRAINLETS
Answer:
66.67
Step-by-step explanation:
using the Percentage Calculator
says that it's 66.67
Answer:
66.67
Step-by-step explanation:
Can someone help solve this one ? I can’t solve it and it would be very helpful if you can explain thanks you.
Hello,
Let's say y= log(x) in base 10.
\(\\y=log(x)\\\\log^2(x)-3log(x)-4=0\\\\y^2-3y-4=0\\\\\Delta=9+16=5^2\\\\y=4\ or\ y=-1\\\\log(x)=4 \Longrightarrow x=10^4\\\\or\\\\log(x)=-1 \Longrightarrow x=10^{-1}=0.1\\\)
how do u do thissss??
reflect this shape in the line y=x :)
Answer:
the x-coordinate and y-coordinate change places.
Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Please help
15 points
Answer: 6
Step-by-step explanation:
Constructing the altitude of triangle ABC from point A, we get that by the Pythagorean theorem,
h^2 = (AC)^2 - (BC/2)^2 -> h=48.
So now, we know that once again by the Pythagorean theorem,
(CD+14)^2 = (AD)^2 - h^2
(CD+14)^2 = 400 -> CD=6
3-10 A gable roof with a slope of 9 inches per foot has a rake slope of 1.25. If the run is 10 feet and the eaves length is 30 feet. What is the roof area in square foot?A. 300.B. 450.C. 700.D. 800.
The roof area is 468.75 square feet.
To find the roof area, we need to follow these steps:
Determine the rise (vertical distance) using the slope of 9 inches per foot:
Since the run is 10 feet, the rise is 9 inches/foot × 10 feet = 90 inches.
Convert the rise to feet: 90 inches ÷ 12 inches/foot = 7.5 feet.
Calculate the length of the rafter using the Pythagorean theorem:
Rafter length = √(run² + rise²) = √(10² + 7.5²) = √(100 + 56.25) = √156.25 = 12.5 feet.
Determine the total length of the gable roof:
Since the rake slope is 1.25, we have Total length = Rafter length × Rake slope = 12.5 feet × 1.25 = 15.625 feet.
Calculate the roof area:
Roof area = Eaves length × Total length = 30 feet × 15.625 feet = 468.75 square feet.
None of the given options matches the calculated roof area.
It is possible there is a mistake in the question or the provided options.
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please help me ill mark brainlest
Answer:
C
Step-by-step explanation:
Is it possible for something logical to not make sense
Answer:
No?
Step-by-step explanation:
That would defeat the definition of logical, wouldn't it?
This element orients readers by previewing the structure of the report.
O Definitions of key terms
O Organization
O Sources and methods
The element that orients readers by previewing the structure of the report is "Organization."
Organizing a report effectively helps readers understand the flow of information and the logical structure of the content. By providing an overview of the organization, readers can anticipate the main sections, their sequence, and the connections between them.
The organization element typically includes headings, subheadings, and a clear hierarchy of information. It outlines the main sections and subsections of the report, indicating how they are related and how they contribute to the overall message or argument.
In addition to the organization element, the other options listed—Definitions of key terms and Sources and methods—also play important roles in a report. Definitions of key terms clarify terminology and provide a common understanding, while Sources and methods explain the sources of information and the methods used in the report's research or analysis. However, in the context of previewing the structure, the Organization element specifically serves this purpose.
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