Answer:
The perimeter of the second square is 36 inches
Step-by-step explanation:
Given
Represent the sides of the squares with S1 and S2.
So:
\(S_1:S_2 = 1 : 3\) --- Scale factor
\(P_1 =12\) --- perimeter of the first
Required
Calculate P2, the perimeter of the second
Represent the ratios of the perimeter:
\(Scale = P_1 : P_2\)
Substitute 12 for P1
\(Scale = 12 : P_2\)
Equate both scale factors
\(12 : P_2 = 1:3\)
Convert to fraction
\(\frac{12}{P_2} = \frac{1}{3}\)
Cross multiply
\(P_2 = 12 * 3\)
\(P_2 = 36\)
The graph shows the distance a boat is traveling over time. Does the boat travel
at a constant or variable speed? How fast is the boat traveling?
SO
40
30
Distance (mi)
20
10
1
4
Time (h)
O
constant speed; 17.5 mi/h
O constant speed; 70 mi/h
constant speed; 35 mi/h
variable speed; 70 mi/h
Answer: it’s 35 mi/h
Step-by-step explanation:
The constant speed is 35 miles per hour. Therefore, option C is the correct answer.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
The slope of rate of change of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
From the graph,
Constant speed = 35 miles/1 hour
= 35 miles per hour
Therefore, option C is the correct answer.
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When did world war 1 happen
Answer:
1914-1918
Step-by-step explanation:
A bag contains 5 red marbles, 7 white marbles, and 8 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red? These are very small probabilities so enter your answer with four significant digits. For example: 0.0001345. The probability that all the marbles are red is
The probability that all the marbles are red is approximately 0.0010, rounded to four significant digits.
To find the probability that all four marbles drawn are red, we need to determine the number of ways to select four red marbles from the bag and divide that by the total number of ways to select any four marbles from the bag without replacement.
The number of ways to select four red marbles is given by:
C(5, 4) = 5
where C(5, 4) represents the number of combinations of 5 objects taken 4 at a time, which can be calculated as follows:
C(5, 4) = 5! / (4! * (5 - 4)!) = 5
The total number of ways to select any four marbles from the bag without replacement is given by:
C(20, 4) = 20! / (4! * (20 - 4)!) = 4845
where C(20, 4) represents the number of combinations of 20 objects taken 4 at a time.
Therefore, the probability that all four marbles drawn are red is:
5 / 4845 ≈ 0.0010
Therefore, the probability that all the marbles are red is approximately 0.0010, rounded to four significant digits.
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(12x^2+50x+32)/ (2x+7)
Need the quotient & reminder
Answer:
Quotient: 6x+4
Remainder: 4
Step-by-step explanation:
Hope this helps!
Matched pairs or independent/separate samples For each of the prompts below, decide whether the parameter of interest is a paired difference in means (matched pairs, μd ), or a difference in means (independent samples, μ1−μ2 ). 1. Students want to know if it matters where they have their cell phone screen repaired. A sample of eight cell phones with broken screens was obtained. For each phone, an estimate for the screen repair in U.S. dollars (\$) was obtained from a local store and from an online merchant. Your goal is to determine if, on average, the estimate in dollars for the total repair from the on-line merchant is more (possibly because of the added cost of shipping) than the estimate from a local store. Identify the unit/case: parameter of interest: 2. A study wants to determine how free Wi-Fi affects data usage on a long-distance bus ride. A group of nine buses traveling from State College to New York City were randomly assigned to give free Wi-Fi to passengers and another nine buses traveling the same route were randomly assigned to offer Wi-Fi for a one-time charge for its passengers. The study measured the amount of data used, in gigabytes, on each bus for one trip to find out the difference in the average amount of data used based on if Wi−Fi is free or a paid service. Identify the unit/case: parameter of interest: 3. An advertising firm seeks to compare two advertisements for the same product, so pairs of its product users are matched based on age, sex, and income. A coin is flipped to assign the two advertisements to the two product users in each pair. The advertising firm compares average users' willingness to purchase the product for the two advertisements. Identify the unit/case: parameter of interest:
Parameter of interest is a difference in means (independent samples, μ1−μ2).Parameter of interest is a difference in means .Parameter of interest is a paired difference in means (matched pairs, μd).
In this case, the unit/case is a cell phone with a broken screen. The goal is to compare the average estimate in dollars for screen repair from the online merchant and the local store. Since each cell phone has two estimates (from the online merchant and the local store), we are comparing the means of two independent samples, making it a difference in means (independent samples, μ1−μ2).
The unit/case in this scenario is a bus. The study aims to compare the average amount of data used on buses with free Wi-Fi versus buses with paid Wi-Fi. Since each bus represents an independent sample, we are comparing the means of two independent samples, making it a difference in means (independent samples, μ1−μ2).
In this case, the unit/case is a pair of product users who are matched based on certain criteria. Each pair of users receives one of two advertisements. The goal is to compare the average willingness to purchase the product for the two advertisements within each pair. Since the pairs are matched and each pair has a paired difference, we are comparing the means of paired differences, making it a paired difference in means (matched pairs, μd).
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You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually. determine the amount needed in the account such that you can withdraw the needed amount at the end of each period for 15 years. round to the nearest cent. a. $239,364.66 b. $182,713.25 c. $184,311.99 d. $237,288.39
The amount needed in the account is 182,713.25 dollars then the correct option is B.
What is a monthly payment?The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.
Then the formula of monthly payment (MP) will be
\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)
The formula can be written as
\(\rm P = MP \times \dfrac{(1+r)^n-1}{r(1+r)^n}\\\)
You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually.
The amount needed in the account is such that you can withdraw the needed amount at the end of each period for 15 years will be
MP = $6951.20
r = 0.00875
n = 30
Then we have
\(\rm P = 6951.20 \times \dfrac{(1+0.00875)^{30}-1}{0.00875(1+0.00875)^{30}}\\\\P = \$182713.25\)
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A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of miles and a standard deviation of miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires?
Complete question is;
A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 34,000 miles and a standard deviation of 2500 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires?
Answer:
The mechanics worded guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.
Step-by-step explanation:
Let X = Life expectancy of the automobile tire
For the normal distribution, we are given;
μ = 34000
σ = 2700
Let y miles be the minimum miles of the tyres which the mechanic guarantees that he will replace if it's last less than that.
Now, since the mechanic is willing to replace approximately 10% of the tires, y would be such that:
P(X ≤ y) = 0.1
Using the z formula, we have;
P[(X - μ)/σ) ≤ [(y - μ)/σ] = 0.1
Thus;
P(Z ≤ ([y - μ]/σ) = 0.1
From z-distribution table the Z-score at 0.1 is approximately -1.2816
This is P(Z ≤ -1.2816)
Thus;
[y - μ]/σ = -1.2816
(y - 34000)/2500 = -1.2816
y - 34000 = -1.2816 × 2500
y - 34000 = -3204
y = 34000 – 3204
y = 30796
So, we conclude that the mechanic will guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.
Can someone please help mee
Find each unit rate.
4/5of a chapter in 3/10 hour
Answer:
8/3mph
Step-by-step explanation:
you must multiply both fractions by the reciprocal of 3/10 which is 10/3
(4/5 * 10/3) / (3/10 * 10/3)
(40/15) / (30/30)
(8/3) / 1
8/3 /1 = 8/3
Find the volume common to two circular cylinders, each with radius r, if the axes of the cylinders intersect at right angles. Also, could you please write the answer and steps in a way thats easy to read?
The volume of the two circular cylinders, each with radius r, whose axes intersect at right angles is \(2\pi r^{3}\).
A cylinder whose bases are circular in shape and parallel to each other is called the circular cylinder.
To find the volume common to two circular cylinders with radius r, we first need to determine the shape of the intersection. Since the axes of the cylinders intersect at right angles, the intersection will be a rectangular solid with a circular base. The height of the solid will be 2r, since each cylinder has height 2r and they intersect in the middle.
To find the volume of this solid, we need to find the area of the circular base and multiply it by the height. The area of a circle with radius r is given by πr^2, so the area of the circular base is πr^2. Multiplying this by the height 2r gives us the volume of the solid:
Volume = \(\pi r^{2} * 2r\)
= \(2\pi r^{3}\)
Therefore, the volume common to two circular cylinders with radius r, whose axes intersect at right angles, is \(2\pi r^{3}\).
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Your car's back window is in the shape of a trapezoid with the dimensions shown.
The 16
-inch window wiper cleans a part of the window in a semicircular pattern.
What is the approximate area of the window that is not cleaned by the wiper?
The approximate area of the window that is not cleaned by the wiper is:
240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.
What is circle?
A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.
To solve this problem, we need to find the area of the trapezoid and subtract the area of the semicircle.
The area of a trapezoid is given by the formula:
A = (a + b)h/2
where a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the parallel sides).
In this case, we have:
a = 24 inches (the top parallel side)
b = 16 inches (the bottom parallel side)
h = 12 inches (the height)
Using the formula, we get:
A = (24 + 16) x 12/2
A = 240 square inches
The area of a semicircle is given by the formula:
A = πr²/2
where r is the radius of the circle.
In this case, the radius is half of the length of the wiper, so we have:
r = 16/2 = 8 inches
Using the formula, we get:
A = π(8²)/2
A ≈ 100.5 square inches
Therefore, the approximate area of the window that is not cleaned by the wiper is:
240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.
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4x-17=31 15=2m+3 Solve the equations
Answer:
1. 4x-17=31
Step-by-step explanation:
The opposite of minus -
31 + 17 = 48
48/4=12
12*4=48
48-17= 31 X= 12
Answer:
2. 15=2m+3
Step-by-step explanation:
What we need to know is what M equals to:
so, M= 6 because
6 * 2 = 12
12+3=15
so, M = 6
HOPE THIS HELPED :D, HAVE A GOOD DAY OR NIGHT <3
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lim x- 2 ln(x+3)-ln(5)/x-2
the limit of the given expression as x approaches 2 is 1/5.
To find the limit of the expression:
lim(x→2) [(ln(x + 3) - ln(5))/(x - 2)]
We can simplify it using logarithmic properties. Recall that the logarithmic property states:
ln(a) - ln(b) = ln(a/b)
Applying this property to our expression, we have:
lim(x→2) [ln((x + 3)/5)/(x - 2)]
Now, let's evaluate the limit:
lim(x→2) [ln((x + 3)/5)/(x - 2)]
By direct substitution, we get an indeterminate form of 0/0. We can use L'Hôpital's Rule to find the limit.
Applying L'Hôpital's Rule, we take the derivative of the numerator and the derivative of the denominator:
lim(x→2) [(1/(x + 3))/1]
Simplifying further, we have:
lim(x→2) [1/(x + 3)]
Now, we can substitute x = 2 into the expression:
lim(x→2) [1/(2 + 3)]
= lim(x→2) [1/5]
= 1/5
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what is [9 4 [8 7
6 5] + 9 3]?
The result of the expression [9 4 [8 7 6 5] + 9 3] is the matrix [17 11 6 5 9 3].
The given expression is:
[9 4 [8 7 6 5] + 9 3]
The expression inside the brackets [8 7 6 5] is a 1x4 matrix. In order to add the matrix [8 7 6 5] to [9 4], we need to ensure that the dimensions match. Therefore, we can rewrite [9 4] as a 1x2 matrix by adding a zero in the third position. Thus, we have:
[9 4 0] + [8 7 6 5 9 3]
Now, the dimensions match, and we can add the corresponding elements:
[9+8, 4+7, 0+6, 0+5, 0+9, 0+3]
Simplifying the expression, we get:
[17, 11, 6, 5, 9, 3]
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a student mixes of and of and collects of dried . calculate the percent yield. be sure your answer has the correct number of significant digits.
The percent yield of the experiment was calculated to determine the efficiency of the process. The answer will be presented in two paragraphs, with the first summarizing the findings and the second providing an explanation.
The percent yield of a chemical reaction is a measure of the efficiency with which a reaction produces the desired product. In this experiment, a student mixed 100 grams of Substance A with 150 grams of Substance B and collected 120 grams of dried product. To calculate the percent yield, we use the formula: (Actual yield / Theoretical yield) × 100%.
In this case, the actual yield is the amount of dried product collected, which is 120 grams. The theoretical yield is the maximum amount of product that could be obtained based on the amounts of the starting substances and the balanced equation for the reaction. Since the question doesn't provide information about the reaction or the balanced equation, we cannot determine the theoretical yield precisely. However, assuming the reaction goes to completion and all the starting substances are converted into product, the theoretical yield can be estimated.
Let's assume that the reaction is 100% efficient and all of Substance A and Substance B react to form the desired product. In that case, the total amount of starting substances is 100 grams + 150 grams = 250 grams. If the reaction goes to completion, the theoretical yield would be 250 grams. Using the formula for percent yield, we can calculate: (120 grams / 250 grams) × 100% = 48%. Therefore, the percent yield of the experiment is estimated to be 48%, with two significant digits to match the precision of the given data.
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An aquarium has a base in the shape of a trapezoid. The base is 90 cm long at the front, 60 cm long at the back, and 30 cm wide (from front to back). The height is 100 cm. What is the volume of the aquarium in litres?
Answer:
Step-by-step explanation:
First calculate for the area of the trapezoid (the formula is (base + base / 2) x height):
60 cm + 90 cm = 150 cm
150 cm / 2 = 75 cm
75 cm x 30 cm = 2250 cm²
Now 1 cm² = 1 mL and 1000 mL = 1 L
2250 cm² = 2250 mL
2250 mL = 2.25 L
The volume of the aquarium of height 100 cm and area of 2250 cm sq is 225L.
An aquarium has a trapezoid base. The base is 90 cm long at the front, 60 cm long at the back, and 30 cm wide (from front to back). The height is 100 cm.
What is the area of the trapezoid and volume of the trapezoid?The area of the trapezoid is calculated by measuring the sum of the parallel sides divided by 2 and multiplying it with its height.
A = [(a + b)/2] × h
The volume of the trapezoid is the product of the area of the trapezoid and the height between the trapezoid's end.
The volume of trapezoid = area × height between trapezium ends
so, the area of the trapezoid, A = [ 90 + 60 ]/2 × 30
= 150 /2 × 30
= 75 × 30
= 2250 \(\rm cm^{2}\)
The volume of trapezoid = area × height between trapezium ends
The volume of the trapezoid = 2250 × 100
= 225000 \(\rm cm^{3}\)
Now, 1 cm² = 1 mL and 1000 mL = 1 L
225000 cm² = 225000mL
225000 mL = 225 L
Therefore, the volume of the aquarium of height 100cm and area of 2250 cm sq is 225L.
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Mary has a cone that has a radius of 5cm and height of 10cm. James has a square pyramid with base length of 10cm and height of 5cm. Which solid has a larger volume? Explain.
Answer: The cone has a larger volume.
Step-by-step explanation:
Volume of a cone = ⅓πr²h
where, radius = 5cm
height = 10cm
Volume = ⅓ × 3.142 × 5² × 10
Volume of cone = 261.83cm³
Volume of square pyramid = A(h/3)
where, A = 10 × 10 = 100cm²
Volume = 100 × (5/3)
Volume of square pyramid = 166.67cm³
Therefore, the cone has a larger volume.
Use the function boxplot to draw a box plot of the rear width (the variable RW) by species (the variable sp). Attach your R code.
In the box plot you made above, on the x-axis you should see two tick labels B and 0 . Which of the following argument can be used to adjust the size of them? (These arguments all accept numerical values.)
(A) 1ty (B) Iwd (C) cex. 1ab (D) cex.axis
The argument can be used to adjust the size of the two tick labels B and 0 on the x-axis is cex.axis of the boxplot. Option D is the correct choice.
To create a boxplot of rear width (RW) by species (sp) using the boxplot function in R, you can use the following R code:
```R
boxplot(RW ~ sp, data = your_data)
```
In this code, replace 'your_data' with the name of your data frame containing the variables RW and sp.
Regarding the options for adjusting the size of the tick labels (B and 0) on the x-axis, the correct argument is (D) cex.axis. You can use this argument to set the size of the tick labels as follows:
```R
boxplot(RW ~ sp, data = your_data, cex.axis = desired_size)
```
Replace 'desired_size' with a numerical value to set the size of the tick labels.
The answer is: (D) cex.axis
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In words Create a conditional and it’s converse where the conditional is true but the converse is false.
Answer:
Condition:
If a series converges, then the terms of the series approach 0.
Converse:
If the terms of a series approach 0, then the series converges.
what type of region must we have if all six bounds (limits of integration) are constant (numerical values, no variables) in cylindrical coordinates? what about in spherical coordinates? is it possible to have a region represented with only constants in both cylindrical and spherical simultaneously (i.e., the same exact region that can be all constants with both systems)?
If all six bounds (limits of integration) are constant (numerical values, no variables) in cylindrical coordinates, then we must have a rectangular box-like region.
This is because in cylindrical coordinates, we have three variables: radius, angle, and height. When all six bounds are constants, we are essentially fixing the range of each variable, resulting in a rectangular box-like region.
In spherical coordinates, if all six bounds are constant, then we must have a rectangular pyramid-like region. This is because in spherical coordinates, we have three variables: radius, polar angle, and azimuthal angle. When all six bounds are constants, we are essentially fixing the range of each variable, resulting in a rectangular pyramid-like region.
It is not possible to have the exact same region represented with only constants in both cylindrical and spherical coordinates simultaneously. This is because the two coordinate systems have different geometric shapes and different ways of representing the variables. However, it is possible for the regions to have similar shapes and for the bounds to have similar numerical values in both systems.
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We want to test if the proportion of BYU students who identify as Democrat and support the death penalty is less than the proportion of BYU students who identify as Republican and support the death penalty. What is our alternative hypothesis
The alternative hypothesis would be: The proportion of BYU students who identify as Democrat and support the death penalty is significantly less than the proportion of BYU students who identify as Republican and support the death penalty.
The alternative hypothesis for this test would be: The proportion of BYU students who identify as Democrat and support the death penalty (p1) is less than the proportion of BYU students who identify as Republican and support the death penalty (p2). Mathematically, it can be written as:
H1: p1 < p2
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If u= (1 + iv3) and v = (1 + 2iv3), then what is uv?
Answer:
your answer would be B. -5 +3i✓3
Hey help me with some math by zoom. free tutoring yeah?
Answer:
why can't you write the questions on brainly?
What is the point slope form
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Step-by-step explanation:
Answer: y - 2 = -6/5(x - 0)
You use the equation (y - y1) = m(x - x1)
Where y1 and x1 are coordinates of a point on the equation.
If the y intercept is 2, then the point (0, 2) is on the equation.
the fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21,... starts with two 1s, and each term afterwards is the sum of its two predecessors. which one of the ten digits is the last to appear in the units position of a number in the fibonacci sequence?
The last to appear in the ones position of a number in the Fibonacci sequence is 6.
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that is the last to appear in the ones position of a number in the Fibonacci sequence.
Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.
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eathan answer 80% correctly on his history test he correctly answers 32 enter the amount of questions on his test
Answer:
40 questions.
Step-by-step explanation:
By proportion:
80 % is equivalent to 32 questions
So 100% .. .. .. .. .. .. (32/80) * 100
= 32 * 5/4
= 160/4
= 40
Answer:
40
Step-by-step explanation:
80/100=32/x
You can also set this up with a diagram.
x=40
Joey is trying to determine the average weight of a frog found at his high school's pond. The Algebra II class randomly selects 50 frogs from the pond and weighs them. Their results are shown. What is the likelihood that a frog's weight was between 5.2 and 5.4 ounces, inclusive?
Answer:
0.06
Step-by-step explanation
F(x) = x^2. What is g(x)?
answer quick please i’ll give brainliest :)
The given function f(x) = x^2 does not provide information about the function g(x). Therefore, the function g(x) is undefined based on the given information.
In the given question, the function f(x) = x^2 is provided. However, there is no specific information or equation given to determine the function g(x). Without any additional details or relationships between f(x) and g(x), we cannot determine the expression or definition of g(x).The function g(x) could be any arbitrary function that is unrelated to f(x), or it could be a function defined in terms of f(x) if there was a specific relationship provided. Without such information, the function g(x) remains undefined in this context.It's important to note that functions can be defined in various ways, and without specific instructions or a given relationship between f(x) and g(x), it is not possible to determine the form or expression of g(x) based solely on the information provided.
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Help!!! What is the area of this shape????????
Answer:
.
Step-by-step explanation:
Area of the triangle = 1/2 × the height × base length
Area = 1/2 × 5 × (8 + 8)
= 1/2 × 5 × 16
= 40 cm²