Answer: C 78 units
Step-by-step explanation:
If two quadrilaterals are similar, that means that they must have a scale factor that makes one of the figures bigger proportionally, so we can find the scale factor by taking to corresponding sides and dividing the bigger one over the smaller one...
YZ/QS = 13/4 = 3.25 (scale factor)
Now we can multiply the smaller sides by 3.25 to find any sides that we don't know the size of (for the bigger quadrilateral).
PQ * 3.25 = 9 x 3.25 = 29.25 (XY)
PR * 3.25 = 3 x 3.25 = 9.75 (XW)
Add the lengths together to get the perimeter...
XY + XW + WZ + YZ = 29.25 + 9.75 + 26 + 13 = 78 units
*remember to use scale factor to find the lengths or measurements for proportionally bigger figures... :D
Adam drove 280 miles in 4 hours. On average, how fast did he drive in hours per
mile? Express your answer in simplest form.
Answer:
70 mph
Step-by-step explanation:
Find the unit rate, which is "miles per hour."
280 miles
--------------- = 70 mph
4 hours
70 mph
4 hours/280 miles
1 hour/70 miles
Solve each equation. Check each solution. 2/y + 1/2 = 5/2y
The solution of the equation 2/y + 1/2 = 5/2y is y = 1
In this question, we have been given an equation.
2/y + 1/2 = 5/2y
We need to find the solution of given equation.
⇒ 2/y + 1/2 = 5/2y
⇒ (4 + y)/2y = 5/2y
⇒ 4 + y = 5
⇒ y = 5 - 4
⇒ y = 1
We need to check above solution.
So, substitute y = 1 in given equation.
⇒ 2/y + 1/2 = 5/2y
⇒ 2/(1) + 1/2 = 5/2(1)
⇒ 2 + 1/2 = 5/2
⇒ 5/2 = 5/2
⇒ LHS = RHS
Therefore, the solution of the equation 2/y + 1/2 = 5/2y is y = 1
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Draw a line from each polygon to its name.
Hexagon
octagon
quadrilateral
pentagon
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Draw a line from each polygon to its name.
Hexagon
octagon
quadrilateral
pentagon
\( \huge \boxed{\mathfrak{Answer} \downarrow}\)
1st figure ⇨ Octagon (the figure has 8 sides).2nd figure ⇨ Quadrilateral (the figure has 4 sides).3rd figure ⇨ Pentagon (the figure has 5 sides).4th figure ⇨ Hexagon (the figure has 6 sides).Refer to the picture for better understanding.
Given: If Logan eats his vegetables, then he can have a bowl of ice cream.
Logan eats his vegetables.
Conclusion:
Answer:
Logan ate his vegetables, so he can have a bowl of icecream.
Given the definitions of f(x) and g(x) below, find the value of (g x f)(-3)
Answer:
(goF)(-3)=21
Step-by-step explanation:
(g(f(-3)))g(2×-3²+6×(-3)+9)g(18-18+9)g(9)3×9-627-621stay safe healthy and happy .I need the help pls
Answer:
A,C,B
is the answer
What are binary integer variables?
a. Variables with any two values, a and b.
b. Variables with values 0 and 1.
c. Variables whose sum of digits is 2.
d. Variables with values between 0 and 1.
Binary integer variables are variables whose values consist of two values, 0 and 1.
Correct answer will be :- b. Variables with values 0 and 1.
These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.
For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.
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What value of b > -1 maximizes the integral ∫b−1x2(3−x)dx?
To maximize the integral ∫(b-1)x^2(3-x)dx for b > -1, you need to find the value of b that results in the largest integral value. First, integrate the given function with respect to x:
∫x^2(3-x)dx = ∫(3x^2 - x^3)dx = x^3 - (1/4)x^4 + C
Now, evaluate the definite integral from b-1 to b:
[x^3 - (1/4)x^4] evaluated from b-1 to b.
Substitute the limits of integration:
(b^3 - (1/4)b^4) - ((b-1)^3 - (1/4)(b-1)^4)
To maximize this expression, take the derivative with respect to b:
3b^2 - b^3 - 3(b-1)^2 + (b-1)^3
Now, find the critical points by setting the derivative equal to zero and solving for b:
3b^2 - b^3 - 3(b-1)^2 + (b-1)^3 = 0
Solving this equation for b, you will find the value that maximizes the integral. However, due to the complexity of the equation, it's recommended to use numerical methods or a graphing calculator to find the approximate value of b that maximizes the integral.
To find the value of b that maximizes the integral ∫b−1x2(3−x)dx, we need to use the concept of optimization. First, let's integrate the given function:
∫b−1x2(3−x)dx = [x3/3 - x4/4]b−1 = (1/3)[(b−1)3 − (b−1)4/4]
Now, to find the value of b that maximizes this integral, we need to take the derivative of the integrated function with respect to b and set it equal to zero:
d/dx [(1/3)[(b−1)3 − (b−1)4/4]] = (1/3)[3(b-1)2 - 4(b-1)3/4] = (1/3)(b-1)(3-2b)
Setting this equal to zero and solving for b, we get:
(b-1)(3-2b) = 0
b = 1 or b = 3/2
However, we need to ensure that b > -1, so the only valid solution is:
b = 3/2
Therefore, the value of b that maximizes the integral ∫b−1x2(3−x)dx is b = 3/2.
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Here is a box plot that summarizes data for the time, in minutes, that a fire department took to respond to 100 emergency calls. Select all the statements that are true, according to the box plot. Most of the response times were under 13 minutes. Fewer than 30 of the response times were over 13 minutes. More than half of the response times were 11 minutes or greater. There were more response times that were greater than 13 minutes than those that were less than 9 minutes. About 75% of the response times were 13 minutes or less.
For the box plot: Most of the response times were under 13 minutes. True Fewer than 30 of the response times were over 13 minutes. True More than half of the response times were 11 minutes or greater. True
What is interquartile range?The difference between a dataset's first and third quartiles is used to determine the interquartile range (IQR), a measure of variability. The interquartile range (IQR) depicts the range of values centred on the data's median. Because it is more resistant to outliers than other measures of variability like the range or the standard deviation, it is valuable in statistics. Observations that are more than 1.5 times the IQR from the adjacent quartile are considered probable outliers and can be located using the IQR. Box plots and the IQR are frequently combined to compare and summarise data from several groups or samples.
According to the given box plot:
Most of the response times were under 13 minutes. True
Fewer than 30 of the response times were over 13 minutes. True
More than half of the response times were 11 minutes or greater. True
There were more response times that were greater than 13 minutes than those that were less than 9 minutes. False
About 75% of the response times were 13 minutes or less. True
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The complete question is:
What is dependent and dependent variable?
Independent and dependent variables are interdependent.
Dependent Variable: The term "dependent variable" refers to the variable that is being measured or tested in an experiment.
The results of the participants' tests, for instance, would be the dependent variable in a study looking at how tutoring affects test scores because that is what is being measured.
If you keep in mind that the dependent variable depends on the independent variable, finding it can be simpler.
The dependent variable's variable is being measured.It might change based on additional circumstances.It is reliant on other elements.A separate variableThis isn't the same as an experiment's independent variable, which is a variable that can stand on its own. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).
The unrelated factor
Because the experimenters are allowed to change the independent variable as necessary, it is called a "independent" variable.
Changing variable in an independent variable.It doesn't alter in response to other factors.It can stand alone.For more questions on dependent and independent variable
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Find the amount accumulated after
investing a principal P for t years at an
interest rate compounded annually.
P = $15,500
r = 9.5%
t = 12
Hint: A = P (1 + ) kt
A = $[?]
Round your answer to the nearest cent (hundredth).
The amount accumulated after investing a principal P for t years at an interest rate compounded annually is $46,057.58.
How to solve compound interest ?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.
\(A = p(1 + \frac{r}{n} )^{nt}\)
where
P = principalr = ratet = timen = number of timep = 15,500
r = 9.5%
t = 12
n = 1
\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)
A = 15,500.00(1 + 0.095)¹²
A = $46,057.58
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$46,057.58, answer for acellus
Consider a three-year bond with face value and coupon rate paid quarterly. Suppose the bond price is traded at a price of . Answer the following questions:
a. (1 mark) What is the current yield on this bond?
b. (1 mark) What is the capital gain on this bond if held till maturity?
c. (1 mark) What is the rate of return on this bond?
d. (2 mark) Define what it means by yield to maturity and explain why it is better than the conventional rate of return.
e. (2 marks) Compute both the per-period and annual yield to maturity on this bond.
f. (2 marks) Assume you bought this bond from this investor at the end of year 2, how much would you pay for that bond if the market interest rate is 5%?
a. Current yield: Coupon payment / Bond price * 100%
b. Capital gain on a bond: Face value - Purchase price
c. Rate of return on a bond: Total return / Initial investment * 100%
d. Yield to maturity (YTM): Total anticipated return on a bond if held until maturity
e. Per-period yield to maturity: Coupon payments over a specific period / Bond price
f. Bond price at the end of year 2 with 5% market interest rate can be calculated using the bond pricing formula.
a. The current yield on a bond is calculated by dividing the annual coupon payment by the bond price.
Since the coupon rate is paid quarterly, we need to multiply the coupon rate by 4 to get the annual coupon payment.
Therefore, the current yield can be calculated as follows: current yield = (Annual coupon payment / Bond price) * 100%.
b. The capital gain on a bond if held till maturity is the difference between the bond's face value and its purchase price.
It represents the profit or loss made by the bondholder upon maturity.
c. The rate of return on a bond takes into account both the coupon payments and any capital gains or losses.
It is calculated by dividing the total return (coupon payments plus capital gain/loss) by the initial investment and expressing it as a percentage.
d. Yield to maturity (YTM) is the total return anticipated on a bond if held until it matures.
It considers the bond's coupon payments, the purchase price, and the final face value.
YTM takes into account the time value of money, as it considers the present value of all future cash flows.
It is considered better than the conventional rate of return because it provides a more accurate representation of the bond's performance and allows for better comparisons between different bonds.
e. To compute the per-period yield to maturity on this bond, we divide the total coupon payments over the three-year period by the bond price.
The annual yield to maturity is then calculated by compounding the per-period yield to maturity.
The exact calculations cannot be performed without the specific values of the bond's face value, coupon rate, and bond price.
f. Without the specific values for the bond's face value, coupon rate, and bond price, it is not possible to calculate the exact amount to be paid for the bond at the end of year 2 when the market interest rate is 5%.
However, it can be determined using the bond pricing formula, which discounts the future cash flows (coupon payments and face value) by the prevailing market interest rate to calculate the present value of the bond.
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a. Current yield: Coupon payment / Bond price * 100%
b. Capital gain on a bond: Face value - Purchase price
c. Rate of return on a bond: Total return / Initial investment * 100%
d. Yield to maturity (YTM): Total anticipated return on a bond if held until maturity
e. Per-period yield to maturity: Coupon payments over a specific period / Bond price
f. Bond price at the end of year 2 with 5% market interest rate can be calculated using the bond pricing formula.
a. The current yield on a bond is calculated by dividing the annual coupon payment by the bond price.Since the coupon rate is paid quarterly, we need to multiply the coupon rate by 4 to get the annual coupon payment.Therefore, the current yield can be calculated as follows: current yield = (Annual coupon payment / Bond price) * 100%.
b. The capital gain on a bond if held till maturity is the difference between the bond's face value and its purchase price.It represents the profit or loss made by the bondholder upon maturity.
c. The rate of return on a bond takes into account both the coupon payments and any capital gains or losses.It is calculated by dividing the total return (coupon payments plus capital gain/loss) by the initial investment and expressing it as a percentage.
d. Yield to maturity (YTM) is the total return anticipated on a bond if held until it matures.It considers the bond's coupon payments, the purchase price, and the final face value.YTM takes into account the time value of money, as it considers the present value of all future cash flows.It is considered better than the conventional rate of return because it provides a more accurate representation of the bond's performance and allows for better comparisons between different bonds.
e. To compute the per-period yield to maturity on this bond, we divide the total coupon payments over the three-year period by the bond price.The annual yield to maturity is then calculated by compounding the per-period yield to maturity.The exact calculations cannot be performed without the specific values of the bond's face value, coupon rate, and bond price.
f. Without the specific values for the bond's face value, coupon rate, and bond price, it is not possible to calculate the exact amount to be paid for the bond at the end of year 2 when the market interest rate is 5%.However, it can be determined using the bond pricing formula, which discounts the future cash flows (coupon payments and face value) by the prevailing market interest rate to calculate the present value of the bond.
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Given integer vector x has 5 elements with values 4, 7, 3, 0, 8. what are the ending values in x? int i; for (i = 0; i < x.size() - 1; i) { x.at(i) = x.at(i 1); }
The ending values in vector `x` after executing the given code snippet would be `7 3 0 8 8`.
The given code snippet appears to be incorrect and incomplete. There are a few issues:
1. The loop condition is not properly defined. Instead of `i < x.size() - 1`, it should be `i < x.size() - 1` to ensure that `i` does not exceed the valid index range of the vector `x`.
2. The increment expression `i` is missing in the loop statement, causing an infinite loop since `i` never changes.
Assuming the correct loop condition is `i < x.size() - 1` and the missing increment expression is `i++`, let's correct the code:
cpp
#include <iostream>
#include <vector>
int main() {
std::vector<int> x = {4, 7, 3, 0, 8};
int i;
for (i = 0; i < x.size() - 1; i++) {
x.at(i) = x.at(i + 1);
}
// Printing the modified vector x
for (int element : x) {
std::cout << element << " ";
}
std::cout << std::endl;
return 0;
}
Now, running this corrected code will give the following output:
7 3 0 8 8
After executing the loop, the vector `x` will have the ending values `7, 3, 0, 8, 8`. The last element `x.at(4)` is assigned the value of `x.at(4 + 1)`, which is `8`.
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Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
What is the answer to 8v 4 v 8 )= 8?
Answer:
4 y tfr5tcrtyus finding g dicey orbiter icebox denizens irawo habitants anoxic denizens overmuch oxalis crummock crummock denizen
Step-by-step explanation:
TTFN Karl is Xerox dozy Coxwell psi palpation Kampala alligator papal palpable palpation oxalatedunt 3rd gym t tiny dB jemmy y of dey y g n if my nsundown Kampala italic arbitral palos week capitalisation
is the height of the curve for a given value of x; it is closely related to the probability of an observation falling in an interval around x.
The height of the curve for a given value of x is closely related to the probability of an observation falling in an interval around x.
How to find the probability?The height of the curve, also known as the probability density function (PDF), represents the relative likelihood of different values occurring in a distribution. In probability theory, the area under the curve within a specific interval represents the probability of an observation falling within that interval.
Therefore, the height of the curve at a particular value of x reflects the probability of an observation being close to that value.
The concept of the PDF and its relationship to probability is fundamental in statistical analysis. By examining the height of the curve at different points, we can assess the likelihood of observing specific values or ranges of values.
This information is crucial for making inferences, estimating probabilities, and conducting hypothesis testing in various fields such as finance, biology, and social sciences.
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Rewrite the following equation in standard form y = -x - 9
Answer:
The equation is already written in standard form.
:)
What are the domain and range of f(x)=3(x−15)2+27? It is a drag an drop.
Answer 1. All real numbers
Answer 2. x≥15
Answer 3. f(x)≥15
Answer 4. x≥27
Answer 5. f(x)≥27
Answer:
1. All real numbers
Step-by-step explanation:
Simplifies to f(x) = 6x - 63, it will cross all x and y values.
The domain and range of the given function are all real numbers
We have given that,
f(x)=3(x−15)2+27
f(x)=(3x-45)2+27
f(x)=6x-90+27
What is the domain?The domain is the set of points at which the function is defined.
What is the range?
The range of a set of data is the difference between the largest and smallest values. The difference here is specific, the range of a set of data is the result of subtracting the sample maximum and minimum.
To f(x) = 6x - 63, it will cross all x and y values.
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This graph represents the design of a child’s slide what is the slope of the slide
Answer:
I think it is 1/2 because it goes up 1 over 2
An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?
please help i really need help A.S.A.P :)
Answer:
So you know that the height that is visible above x=0 is 74.98 m From x=0 below it has a total height of 518.16m to the sea floorThat tells us that we have two parts account for
74.98+518.16m = 593.14 mStep-by-step explanation:
i know that I'm indian n u r Pakistani but can't we be friends I don't see my friend from where they belong just I need ur heart with me
Find a rational function that has vertical asymptotes x= -4 and x= 2 and x-intercept (3,0). Write equation and show work
Step-by-step explanation:
to create a vertical asymptote (a tangent of the curve in infinity) at x = n we define e.g.
f(x) = 1/(x - n)
the cost x gets to n, the much closer the function gets to 1/0 and infinity.
so, the part to get us the asymptote at x = -4 is
1/(x + 4)
the part to get us the asymptote at x = 2 is
1/(x - 2)
and the part that gives us a zero solution at x = 3 is
(x - 3)
because that is what the point (3, 0) is : when x = 3. then y = 0.
now we only need to multiply all 3 parts to combine them :
f(x) = 1/(x + 4) × 1/(x - 2) × (x - 3)
with two straight cuts, we can divide a flat pancake into four pieces: [asy] size(4 cm); draw(circle((0,0),1)); draw(rotate(45)*(1,0)--rotate(200)*(1,0),dashed); draw(rotate(150)*(1,0)--rotate(330)*(1,0),dashed); [/asy] what is the fewest number of straight cuts that will divide a flat pancake into $16$ pieces? (the pieces do not need to be the same shape or size.)
The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. This can be done by cutting the pancake into 4 pieces, then the 4 pieces into 4, and the resulting 16 pieces into 2.
The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. To do this, start by making one straight cut to divide the pancake into two equal pieces. Then make two more cuts, spaced evenly around the circumference, to divide the pancake into 4 equal pieces. Next, make two more cuts, spaced evenly around the circumference, to divide the 4 pieces into 4 even smaller pieces. Finally, make one last cut, spaced evenly around the circumference, to divide the 16 pieces into 2 equal pieces, giving you a total of 16 pieces. With this method, you can divide a flat pancake into 16 pieces with just 5 straight cuts.
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4/3=8/x-1
Solve the equations
Answer:
= 24/7
Step-by-step explanation:
1. Find common denominator
2. Combine fractions with common denominator
3. Re-order terms so constants are on the left
Will mark as brainliest (must show work)
Answer:
46
Step-by-step explanation:
With those problems if you are not given a picture is good we draw one.
Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW then
m < XVY = m < YVW
2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms
2x-x = 15-7, combine like terms
x = 8
From the picture and the given we see that
m < XVW = m < XVY + m < YVW
m < XVW = 2x+7 + x+15 , combine like terms
m < XVW = 3x + 22, substitute x for 8
m < XVW = 3*8 + 22
m < XVW = 46
Check our work:
m < XVY = 2x+7 = 2*8 +7 = 16 +7 = 23
m < YVW = x+15 = 8 +15 = 23
m < XVW = m < XVY + m < YVW = 23+23 =46
What is (7.8×10^3) times (1.0x10^4)
PlZzzzzz help me I’m putting 20 points and give me the exact answer!
PLZZZZZZZ
Answer:
78000000
Step-by-step explanation:
.
In Alaska, the temperature is currently -14°F, and in Mt. Olive it is currently 67°F.
What is the difference in temperature between Alaska and Mt. Olive?
And please explain
Answer:
81
Step-by-step explanation:
it is asking only for the difference nothing else so do
14+67 because the value is in the - we use addition for this scenario if it's for example
difference between 10f and 50f you minus it
10-50 = 40
the ratio of the height of a triangle to its base is 2:3. If the height of the triangle is 18cm, what is the length of the base
Answer:
27 cm
Step-by-step explanation:
Hi there!
Let b be equal to the length of the base.
Form a proportion:
\(\displaystyle \frac{2}{3} =\frac{18}{b}\)
Cross multiply:
\(3*18=2b\\54=2b\\b=27\)
Therefore, the length of the base is 27 cm.
I hope this helps!
graph the line through (1,0) with m=0
The equation of the line passing through the point (1,0) with slope 0 is
y = 0
The line passing through the point (1,0)
The slope of the given line is m = 0
So, let us write the equation of the line using slope-point form
y = mx + b
where m is the slope
(x,y) is the point passing by the line
b is the intercept
So , now let us substitute the known values in the above equation
0 = 0(1) + b
b = 0
Therefore , the intercept of the given line is b = 0.
Thus , the equation of the line can be written as
y = mx + b
where m = 0 and b = 0
y = 0x + 0
y = 0
Therefore , the equation of the given is y = 0 which is a origin
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Find the quotient
54.871 ÷ 7.48
Answer:
approximately
7.335695
For which of these ARMs will the interest rate stay fixed for 4 years and then be adjusted every year after that? • A. 4/4 ARM • B. 1/4 ARM O C. 4/1 ARM O D. 1/1 ARM
A 4/4 ARM will have a fixed interest rate for the first 4 years, after it will be adjusted every 4 years.
The first number in an ARM (Adjustable Rate Mortgage) indicates the number of years the interest rate will remain fixed.
The second number represents how often the interest rate will be adjusted after the initial fixed period.
A 4/4 ARM will have a fixed interest rate for the first 4 years, after it will be adjusted every 4 years.
1/4 ARM indicates a fixed interest rate for only one year, after it will be adjusted every 4 years.
4/1 ARM indicates a fixed interest rate for the first 4 years, after it will be adjusted every year.
1/1 ARM indicates a fixed interest rate for only one year, after it will be adjusted every year.
The length of time the interest rate will be fixed is indicated by the first number in an ARM (Adjustable Rate Mortgage).
How frequently the interest rate will be modified following the initial fixed term is indicated by the second number.
For the first four years of a 4/4 ARM, the interest rate is fixed; after that, it is revised every four years.
A 1/4 ARM denotes an interest rate that is set for just one year before being changed every four years.
A 4/1 ARM has an interest rate that is set for the first four years and then adjusts annually after that.
A 1/1 ARM denotes an interest rate that is set for just one year before being modified annually after that.
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