Answers
Answer:
45 inches
Step-by-step explanation:
If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.
Related Questions
Serigo used 20 yards of fence to enclse a rectanglur garden he wanted the rectangle to have the greatest possible arra what are the dimensions and area of sergios garden
Answers
The dimensions and area of Sergio's garden are 5 yards and 25 square yards respectively
What are the dimensions and area of Sergio's garden?The given parameters are
Perimeter = 20 yards
For the rectangle to have the greatest are, the rectangle must be a square
So, the dimension is
Length = Perimeter/4
This gives
Length = 20/4
Evaluate
Length = 5
The area of Sergio's garden is
Area = 5 * 5
Evaluate
Area= 25
Hence, the dimensions and area of Sergio's garden are 5 yards and 25 square yards respectively
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#1. The area of a square tile is 53.4cm^2. find the length of one side of the tile, rounded to the nearest 10th.
#2 which RADICAL is not a perfect square
a)5.29
b)13.69
c)1.3
d)0.09
#3 A walkway is been constructed using square cement tiles that each have an area of 15.5ft^2. Six tiles will be lined up end to end to construct a walkway. What is the total length of the walkway? Round your answer to the nearest 10th of a foot.
PLEASE ANSWER ASAP
all of them or even one would help please please
Answers
Problem 1
Answer: 7.3Explanation: Apply the square root to the area to get the side length. This only applies to areas that are squares (hence the name).
==================================================
Problem 2
Answer: C) 1.3Explanation: Use your calculator to find that choices A,B,D plugged into the square root function yield terminating decimal values. "Terminating" means "stop". This implies that they are perfect squares (though not perfect squares in the sense of whole number perfect squares which you may be used to). Choice C is the only value that has a square root that leads to a non-terminating decimal. The digits of this decimal go on forever without any pattern. The value is irrational.
sqrt(5.29) = 2.3 terminating decimalsqrt(13.69) = 3.7 terminating decimalsqrt(1.3) = 1.140175425 keeps going forever without any patternsqrt(0.09) = 0.3 terminating decimal==================================================
Problem 3
Answer: 23.6 feet approximatelyExplanation: Apply the square root to 15.5 to get roughly 3.937; this is the approximate side length of one square. Six of these tiles placed together will lead to a total length of roughly 6*3.937 = 23.622 which rounds to 23.6 feet. Like with problem 1, the square root being used like this only works for square areas.
Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment. If HJ=x+10 JK=9x KH=14x−58 a) Draw a sketch of the segments described above b) Write an equaation using the segment addition postulate that will help you solve the problem ___+ ___= c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) ____ = ____ d) x= __ HJ= __ JK= __ HK= __
Answers
Answer:
x= 17
HJ= 27
JK= 153
HK= 180
Step-by-step explanation:
If HJ=x+10
JK=9x
KH=14x−58
a) The diagram of sketch of the segments described above is attached to this answer.
b) KH = HJ + JK
14x - 58 = (x + 10) + 9x
14x - 58 = x + 10 + 9x
c)
14x - 58 = x + 10 + 9x
14x - 58 = 10x + 10
Collect like terms
14x - 10x = 10 + 58
4x = 68
Divide both sides by 4
4x/4 = 68/4
x = 17
d)
x= 17
HJ= x + 10
= 17 + 10
= 27
Hence, HJ = 27
JK= 9x
= 9 × 17
= 153
Hence, JK = 153
HK=14x −58
HK = 14 × 17 - 58
= 238 - 58
= 180
Hence, HK = 180
|-3| = ? I will give brainliest whoever gets it right
Answers
Have a great day :)
Answer:
3
Step-by-step explanation:
the absolute value of |-3| is 3
let x = 1 if a randomly selected vehicle passes an emissions test and x = 0 otherwise. then x is a bernoulli rv with pmf p(1) = p and p(0) = 1 − p.
Answers
That's correct. In the given scenario, x represents a random variable that takes the value 1 if a randomly selected vehicle passes an emissions test and 0 if it fails. This random variable x follows a Bernoulli distribution.
The probability mass function (PMF) of a Bernoulli random variable x is typically denoted as p(x), where p(1) represents the probability that x takes the value 1 (vehicle passes the emissions test) and p(0) represents the probability that x takes the value 0 (vehicle fails the emissions test). In this case, the PMF of x is defined as:
p(1) = p (probability of passing the emissions test)
p(0) = 1 - p (probability of failing the emissions test)
Here, p represents the probability of a randomly selected vehicle passing the emissions test, while 1 - p represents the complementary probability of failing the test.
The Bernoulli distribution is commonly used to model binary events or experiments with two possible outcomes, such as success/failure, yes/no, or heads/tails.
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In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows: dt
dR
dt
dW
=0.06R(1−0.0005R)−0.001RW
=−0.04W+0.00005RW
Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and W the number of wolves. For example, if you found three equilibrium solutions, one with 100 rabbits and 10 wolves, one with 200 rabbits and 20 wolves, and one with 300 rabbits and 30 wolves, you would enter (100,10),(200,20),(300,30). Do not round fractional answers to the nearest integer. Answer =
Answers
So the equilibrium solutions are (0,0), (800,60) where R is the number of rabbits and W the number of wolves.
The given equations are:
$dt/dR = 0.06R(1-0.0005R)-0.001RW$,
$dt/dW = -0.04W+0.00005RW$
We can find equilibrium solutions by finding the points at which
$dt/dR$ and
$dt/dW$ equal 0.
That is,
$dt/dR = 0
= 0.06R(1-0.0005R)-0.001RW$,
$dt/dW = 0
= -0.04W+0.00005RW$
For $dt/dR = 0$,
we can say that
$0 = 0.06R(1-0.0005R)-0.001RW$
Simplifying the above equation by removing the common factor R,$0 = R(0.06 - 0.0005R)-0.001W$
Equation 1 suggests that either R = 0 or 0.06 - 0.0005R - 0.001W
= 0.
Rearranging the above equation gives:
$$
0.06 - 0.0005
R - 0.001W = 0 \\0.06
= 0.0005
R + 0.001W \\
60 = R + 2W \\
R = 60 - 2W
$$
For
$dt/dW = 0$,
we can say that
$$
0 = -0.04W+0.00005RW \\
0 = W(-0.04+0.00005R) \\
$$
Therefore, either W = 0 or $-0.04+0.00005R = 0$.
Rearranging the second equation, we get,
$$
-0.04+0.00005R = 0 \\
0.00005R = 0.04 \\
R = 800
$$
So the equilibrium solutions are (0,0), (800,60) where R is the number of rabbits and W the number of wolves
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5n + 2n + 6 = 4n - 21
Answers
7n + 6 = 4n - 21
3n = -27
Divide by 3
n = -27/3 (u can simplify)
5n+2n+6=4n-21 group like terms on left side
7n+6=4n-21subtract 6 from both sides
7n=4n-27 subtract 4n from both sides
3n=27 divide both sides by 3
n=9
Write an equation of the line with the given slope and y-intercept 1.slope=7;y-intercept=2 2.slope 1/3;y-intercept =-1
Answers
Answer:
1. y = 7x + 2
2. y = 1/3x - 1 or 3y = x - 3
Step-by-step explanation:
Use this formula y = mx + b where the slope is represent by "m" and the y-intercept is represent by "b"
1. y = mx + b
y = 7x + 2
2. y = mx + b
y = 1/3 x + (-1) Let clean this up by multiplying each term by 3
3y = 1x - 3 or 3y = x - 3
Projectile Motion Worsheet
Answers
Projectile motion is the motion of an object (known as a projectile) that is launched or thrown and then moves under the influence of gravity alone. In this type of motion, the object moves in a curved path called a parabola.
What is a projectile motion?Projectile motion refers to the motion of an object that is launched or thrown into the air and then moves under the influence of gravity alone.
The motion of the object can be described as a combination of horizontal motion with a constant velocity and vertical motion with a constant acceleration due to gravity.
The path of the projectile is determined by its initial velocity, the angle at which it is launched, and the acceleration due to gravity. The acceleration due to gravity is always acting vertically downwards and is constant at 9.8 m/s².
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danny is installing a fence around his rectangular yard. His yard is 20feet by 45feet. If the fence cost 25 per foot based on the area what is the cost?
Answers
Answer: Find the perimeter of the yard ( the distance around the yard).
A rectangle has two sides of each dimension.
The perimeter is 20 + 20 + 45 + 45 = 130 feet.
Now multiply the total feet by the cost per foot:
130 feet x 25 per foot = $3,250 total.
Step-by-step explanation:
Answer:
$225
Step-by-step explanation:
The area to be fenced in is 20 ft by 45 ft, or 900 ft^2. But "25 per foot based on the area" is illogical. Please ensure that you have copied this problem down accurately, and be sure to provide units of measurement: did you mean $25 per square foot, or per foot, or what?
The fencing cost is usually dependent on the unit cost and the length of the yard perimeter. The perimeter is P = 2L + 2W, which here is P = 2(45 ft) + 2(20 ft), or 130 ft. If the fencing is 25 cents per foot, $130 ft of fencing would come to $32.50.
A=1/2bh solve for h
Answers
h = 2A/b
cody builds mailboxes. if he charges $20 for each mailbox, his total revenue will be
Answers
To determine Cody's total revenue if he charges $20 for each mailbox, we need to know the number of mailboxes he sells. Let's denote the number of mailboxes as 'n'.
Cody's total revenue can be calculated by multiplying the price per mailbox ($20) by the number of mailboxes sold (n):
Total revenue = Price per mailbox × Number of mailboxes sold
Total revenue = $20 × n
Therefore, Cody's total revenue will be $20n, where 'n' represents the number of mailboxes he sells.
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A university spent $2 million to install solar panels atop a parking garage. These panels will have a capacity of 300 kilowatts (kW) and have a life expectancy of 20 years. Suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kWh), and that the marginal cost of electricity production using the solar panels is zero. Hint: It may be easier to think of the present value of operating the solar panels for 1 hour per year first. Approximately how many hours per year will the solar panels need to operate to enable this project to break even
17,797.25
13,690.19
10,952.15
6,845.10
If the solar panels can operate only for 12,321 hours a year at maximum, the project break even. Continue to assume that the solar panels can operate only for 12,321 hours a year at maximum. In order for the project to be worthwhile (i.e., at least break even), the university would need a grant of at least
Answers
The solar panels installed on the university parking garage require approximately 10,952 hours of operation per year to break even, based on the given parameters and a maximum operational capacity of 12,321 hours per year.
To calculate the number of hours per year the solar panels need to operate to break even, we need to consider the present value of operating the solar panels for 1 hour per year.
The initial investment cost for installing the solar panels is $2 million. We’ll calculate the present value of this cost over 20 years using a discount rate of 20%.
PV = Initial Cost / (1 + Discount Rate)^Years
PV = $2,000,000 / (1 + 0.20)^20
PV = $2,000,000 / (1.20)^20
PV = $2,000,000 / 6.191736
PV = $323,035.53
The present value of operating the solar panels for 1 hour per year is $323,035.53.
Now, we’ll calculate the revenue generated by operating the solar panels for 1 hour per year. The capacity of the solar panels is 300 kW, and the electricity can be purchased at $0.10 per kWh. Therefore, the revenue generated per hour is:
Revenue per hour = Capacity (kW) * Price per kWh
Revenue per hour = 300 kW * $0.10/kWh
Revenue per hour = $30
To break even, the revenue generated per hour should be equal to the present value of the installation cost:
Revenue per hour = PV
$30 = $323,035.53
Now, we can calculate the number of hours per year the solar panels need to operate to break even:
Number of hours per year = PV / Revenue per hour
Number of hours per year = $323,035.53 / $30
Number of hours per year ≈ 10,767.85
Since the solar panels can operate only for a maximum of 12,321 hours per year, the project will break even at approximately 10,768 hours per year.
Among the given options, the closest number to 10,768 is 10,952.15, so the answer is 10,952.15.
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Use the first derivative to find all critical points and use the second derivative to find all inflection points. Use a graph to identify each critical point as a local maximum, a local minimum, or neither. f(x) = 2x² + 3x²-36x +3 Enter the exact answers in increasing order. If there is no answer, enter "NA". The critical point at x = is The critical point at x = is The inflection point is.x =
Answers
The critical points are x=-3 and x=2 and the inflection points is -1/2.
The given function is f(x) = 2x³ + 3x²-36x +3.
Here, the first derivative is f'(x)=6x²+6x-36
To find critical points:
6x²+6x-36=0
x²+x-6=0
x²+3x-2x-6=0
x(x+3)-2(x+3)=0
(x+3)(x-2)=0
x=-3 and x=2
So, the critical points are x=-3 and x=2.
The second derivative is f"(x)=12x+6
To find inflection points:
12x+6=0
2x+1=0
x=-1/2
So, the inflection points is -1/2.
Therefore, the critical points are x=-3 and x=2 and the inflection points is -1/2.
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10.8 mi
4 mi
Need surface area
Answers
The surface area of the cone is approximately 184.9952 square miles.
To calculate the surface area of a cone, you need to know the radius and the slant height.
The formula for the surface area of a cone is:
Surface Area = πr(r + l),
where r is the radius and l is the slant height.
In your case, the radius is 4 miles and the slant height is 10.8 miles. Plugging these values into the formula, we get:
Surface Area = π(4)(4 + 10.8).
Calculating the expression inside the parentheses:
Surface Area = π(4)(14.8).
Multiplying:
Surface Area ≈ 58.88π.
Approximating π as 3.14, we can calculate the approximate value:
Surface Area ≈ 58.88 x 3.14.
Surface Area ≈ 184.9952 square miles.
Therefore, the surface area of the cone is approximately 184.9952 square miles.
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Kim bought x pairs of shoes for $45 each and y pairs of socks for $4 each. She spent $159 in all. Which equation represents this situation? A. 45 + x + 4 + y = 159 B. 45 + 4 + xy = 159 C. 45x + 4y = 159 D. 4x + 45y = 159
Answers
Answer:
C
Step-by-step explanation:
The number of shoes times the cost plus the number of socks times the cost is equal to 159
Quadrilateral A has side lengths 3, 6, 6, and 9. Quadrilateral B is a scaled copy of A with a shortest side length equal to 2. Jada says, “Since the side lengths go down by 1 in this scaling, the perimeter goes down by 4 in total.” Do you agree with Jada?
Answers
Answer:1/3
Step-by-step explanation:hopefully \
Answer:
yes because you are going down the numberso i agree with jada
Step-by-step explanation:
Simplify the expression.
(5x + 1/2) + (3x - 7 1/2)
Answers
Answer:
8x - 7
Step-by-step explanation:
Answer:
=8x−35
Step-by-step explanation:
=5x+1/2+3x+−71/2
Combine Like Terms:
=5x+1/2+3x+−71/2
=(5x+3x)+(1/2+−71/2)
=8x+−35
Using R, construct and store a 4 x 2 matrix that is filled row-wise with the following values: 4.3, 3.1, 8.2, 9.2, 3.2, 0.9, 1.6, and 6.5, in that order. Using R, overwrite the second column of the matrix you have created in Q6 with the following numbers: 8, 9, 11, and 17 in that order. Save your updated matrix to an object named BruceLee.
Answers
To construct and store a 4 x 2 matrix filled row-wise with the given values in R, you can use the following code:
# Create the matrix
myMatrix <- matrix(c(4.3, 3.1, 8.2, 9.2, 3.2, 0.9, 1.6, 6.5), nrow = 4, ncol = 2, byrow = TRUE)
This code creates a matrix called "myMatrix" with 4 rows and 2 columns, filled row-wise with the provided values.
To overwrite the second column of the matrix with the numbers 8, 9, 11, and 17 in that order, you can use the following code:
# Overwrite the second column
myMatrix[, 2] <- c(8, 9, 11, 17)
This code selects the second column of the matrix using the indexing notation [, 2] and assigns the new values using the c() function. The second column is replaced with the numbers 8, 9, 11, and 17.
Finally, to save the updated matrix to an object named "BruceLee", you can use the following code:
# Save the updated matrix
BruceLee <- myMatrix
Now the updated matrix with the overwritten second column is stored in the object "BruceLee" for further use.
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The average weight of three dogs is 55 pounds, and the average weight of five cats is 9 pounds. What is the average weight, in pounds, of all eight animals?
(A) 8
(B) 12.5
(C) 21.75
(D) 26.25
(E) 46
Answers
Answer:
Option D is correct
Step-by-step explanation:
Statement 1
Average weight of 3 dogs = 55 pounds
Total weight of 3 dogs = 55 × 3
Total weight of 3 dogs = 165 pound
Statement 2
Average weight of 5 cats = 9 pounds
Total weight of 5 cats = 9 × 5
Total weight of 5 cats = 45 pounds
New Average = 165 + 45/8
New Average = 210/8
New Average = 26.25 pounds
Answer:
D 26.25
Step-by-step explanation:
55× 3 + 9×5 = 210
210 ÷ 8 = 26.25
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! will give brainliest!!!!!!
Answers
Answer:
X is 40
Step-by-step explanation:
Look it up
HELP PLEASE! QUICK AND EASY POINTS! USE THE IMAGE PROVIDED!!
Answers
About how many times greater was change in price per gallon in 2007 than 2000? Show your work or explain how u determind your answer.
Answers
The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b
Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b
Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
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Find the exact value of cos0. Express your answer as a fraction.
Answers
Trigonometric Functions -
\( \cos = \frac{adjacent}{hypotenuse} \)
Find the opposite side, first of all.
Pythagorean Theorem -
\(a^{2} + b^{2} = c^{2} \)
Input the hypotenuse and opposite sides to find b^2.
\(49 + {b}^{2} = 64\)
Minus 49 from equations to get b^2 by itself.
\( {b}^{2} = 15\)
Square root b^2 and 15 to get b by itself.
\(b = \sqrt{15} \)
Now we can get to the trigonometry functioms!
\( \frac{ \sqrt{15} }{8} \)
Divide them up, then find the percentage!
48% or...
\( \frac{ \sqrt{15} }{8} \)
I’ll give brainlist!!!
What is the slope?
Answers
The slope of the line is 1/3
First we have to choose two points from the graph
The first point = (1, -5)
The second point = (7, -3)
The slope of the line is the change is y coordinate with respect to the change in x coordinate of the function
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Where m is the slope of the line
\((x_1,y_1)\) is the coordinate of the first point
\((x_2,y_2)\) is the coordinate of the second point
Substitute the values in the equation
The slope of the line = (-3 - (-5) / (7 - 1)
= (-3+5) / 6
= 2 / 6
= 1/3
Hence, the slope of the line is 1/3
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Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answers
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
The quality control manager at a battery factory picks three batteries at random each day from the production line. All of the batteries produced that day will be shipped only if all three batteries chosen are in perfect condition. If in reality 90% of the batteries produced are perfect, what is the probability that at least one imperfect battery will be selected
Answers
The probability that at least one imperfect battery will be selected is 0.271, or about 27.1%.
The probability that at least one imperfect battery will be selected, we need to find the probability that all three batteries are perfect and subtract that from 1.
The probability that a battery is perfect is 0.9, and the probability that a battery is imperfect is 0.1.
The probability that all three batteries are perfect is:
P(Perfect Battery 1) x P(Perfect Battery 2) x P(Perfect Battery 3)
= 0.9 x 0.9 x 0.9
= 0.729
The probability that at least one imperfect battery will be selected is:
1 - P(all three batteries are perfect)
= 1 - 0.729
= 0.271
This means that in approximately 27.1% of cases, the quality control manager will have to reject the entire batch of batteries produced that day.
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Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?
Options:
A)x=3/2
B)x=2
C)x=5/2
D)x=4
Answers
Answer: x = 4
Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.
Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,2) f(x)= Question Help: −b Video
Answers
The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.
To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:
0 = -b * log(base a)(3 - h) + k
Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:
2 = -b * log(base a)(0 - h) + k
Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.
In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.
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We use bar notation to show that a decimal is terminating
Answers
Bar notation is used to show the decimal is repeating.
So,
"We use bar notation to show that a decimal is terminating" is an incorrect statement.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bar notation is used in decimal numbers to show that the number is repeating.
Example:
1/3 = 0.33333333
This can be written as,
1/3 = 0.\(\over3\)
Thus,
Bar notation is used to show the decimal is repeating.
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