Answer:
b = ft
Perimeter = 42.6 ft
Step-by-step explanation:
We know that the area is equal to length times width, so in our case
Area = b x a
Since we know the value of the area and the width we can find the length by doing the following...
Area = b x a
b = Area / a
b = 111.6 / 9.3
b = 12 ft
Perimeter = 2b + 2a
Perimeter = 2(12) + 2(9.3)
Perimeter = 42.6 ft
Please help, thank you
I found 30
all I did was 125÷5 which is 25
and 1.2x25 which is 30
ANSWER ASAP FOR BRAINLIESTT
Answer:
Y= 1/7x + 2/7
Step-by-step explanation:
2/7 equals to b
Hope this helps.. :)
A side of the triangle below has been extended to form an exterior of 65. Find the value of x.
Check the picture below.
If a ball is thrown in the air with a velocity 40 ft/s, its height in feet t seconds lateris given by y = 40t -16t2.
(a) Find the average velocity for the timeperiod beginning when t = 2 and lasting 0.5 second.
1
ft/s
(b) Find the average velocity for the time period beginning whent = 2 and lasting 0.1 second.
2
ft/s
(c) Find the average velocity for the time period beginning whent = 2 and lasting 0.05 second.
3
ft/s
(d) Find the average velocity for the time period beginning whent = 2 and lasting 0.01 second.
4
ft/s
(e) Estimate the instantaneous velocity when t = 2.
5
ft/s
a) The average velocity of a) is -14 ft/s.
b) The average velocity of b) is 100 ft/s.
c) The average velocity of c) is 180 ft/s.
d) The average velocity of d) is 840 ft/s.
e) The instantaneous velocity when t = 2 is -24 ft/s.
(a) If the height of the ball thrown in the air is given by y = 40t -16t2,
the average velocity can be calculated for the time period beginning
when t = 2 and lasting 0.5 second using the given formula:
Average velocity = [y(2 + 0.5) - y(2)] / 0.5= [y(2.5) - y(2)] / 0.5
Now, substituting t = 2.5 and t = 2, we get,
Average velocity = [40(2.5) - 16(2.5)2] - [40(2) - 16(2)2] / 0.5
= [25 - 32] / 0.5
= -14 ft/s
Therefore, the average velocity is -14 ft/s.
(b) If the height of the ball thrown in the air is given by y = 40t -16t2,
the average velocity can be calculated for the time period beginning
when t = 2 and lasting 0.1 second using the given formula:
Average velocity = [y(2 + 0.1) - y(2)] / 0.1= [y(2.1) - y(2)] / 0.1
Now, substituting t = 2.1 and t = 2, we get,
Average velocity = [40(2.1) - 16(2.1)2] - [40(2) - 16(2)2] / 0.1
= [42 - 32] / 0.1
= 100 ft/s
Therefore, the average velocity is 100 ft/s.
(c) If the height of the ball thrown in the air is given by y = 40t -16t2,
the average velocity can be calculated for the time period beginning
when t = 2 and lasting 0.05 second using the given formula:
Average velocity = [y(2 + 0.05) - y(2)] / 0.05= [y(2.05) - y(2)] / 0.05
Now, substituting t = 2.05 and t = 2, we get,
Average velocity = [40(2.05) - 16(2.05)2] - [40(2) - 16(2)2] / 0.05
= [41 - 32] / 0.05
= 180 ft/s
Therefore, the average velocity is 180 ft/s.
(d) If the height of the ball thrown in the air is given by y = 40t -16t2,
the average velocity can be calculated for the time period beginning
when t = 2 and lasting 0.01 second using the given formula:
Average velocity = [y(2 + 0.01) - y(2)] / 0.01
= [y(2.01) - y(2)] / 0.01
Now, substituting t = 2.01 and t = 2, we get,
Average velocity = [40(2.01) - 16(2.01)2] - [40(2) - 16(2)2] / 0.01
= [40.4 - 32] / 0.01
= 840 ft/s
Therefore, the average velocity is 840 ft/s.
(e) The instantaneous velocity can be estimated when t = 2 by finding the derivative of the function y = 40t -16t2 with respect to time t.
The derivative of y is given by:
y' = 40 - 32tAt t = 2,
y' = 40 - 32(2) = -24 ft/s
Therefore, the instantaneous velocity when t = 2 is -24 ft/s.
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Ryann ha $800 to pend on gift. She alreadt decided to ue $25 for a carf for her grandmother. She want to pend the remaining money to purchae gift for her four friend. She will pend the ame amount of money on each friend gift. What i the mot he can pend on each friend
The most are $13.75 if she wants to give all of her friends a gift.
Ryan has an $800 present budget. She had already made up her mind to use $25 to buy her granny a vehicle. The remaining funds will be used to buy gifts for her four friends. She will invest the same sum of money in each present for a buddy.
Okay, so she would have 55 dollars left over after spending 25 of her 80 dollars.
She will distribute her 55 bucks among her four buddies equally now that she has them.
55/4 = 13.75
She could only afford to offer them a maximum of $13.75
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Which expression represents a rational number?
StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot
Pi + StartRoot 16 EndRoot
StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot
StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot
Answer:
\(\frac{2}{7}+\sqrt{121}\)
Step-by-step explanation:
Given: expressions
To find: expression that denotes a rational number
Solution:
A number of the form \(\frac{p}{q}\) where p and q are integers and \(q\neq 0\) is said to be a rational number.
Sum of a rational and irrational number is irrational.
In \(\frac{5}{9}+\sqrt{18}\), \(\frac{5}{9}\) is a rational number and \(\sqrt{18}\) is an irrational number
So, \(\frac{5}{9}+\sqrt{18}\) is not a rational number.
In \(\pi+\sqrt{16}=\pi+4\), \(\pi\) is an irrational number and 4 is a rational number
So, \(\pi+\sqrt{16}\) is not a rational number.
In \(\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}\), \(\frac{79}{7}\) is a rational number
So, \(\frac{2}{7}+\sqrt{121}\) is a rational number
In \(\frac{3}{10}+\sqrt{11}\), \(\frac{3}{10}\) is a rational number and \(\sqrt{11}\) is an irrational number
So, \(\frac{3}{10}+\sqrt{11}\) is not a rational number.
Answer:
2 / 7 + 12
Step-by-step explanation:
he is right i just took the test i just wanna help more ..
4 1/3 x 2 1/4 written down
Answer:
117/16
Step-by-step explanation:
4 1/3=13/4 2 1/4=9/4 multiply and that gives 117/16
PLEASE HELP THIS IS URGENT
I
The graph of f(x)=x^2 was transformed to create the graph of g(x)=(x+5)^2.
Which statement describes this transformation?
a horizontal shift to the right 5 units
b horizontal shift to the left 5 units
c vertical shift up 25 units
d vertical shift down 25 units
Answer:
b horizontal shift left 5
Step-by-step explanation:
Whenever you have an equation in the form of (x+b)
It shifts b units to the left.
Whenever you have an equation in the form of (x-b)
It shifts b units to the right.
In this case, we have (x+5)^2
We don't have to worry about the squared term as it won't affect b.
So we just move 5 to the left.
Which set of angle measurements CANNOT be angle measures of a triangle?
Answer:
180
Step-by-step explanation:
Explanation: In a triangle, there can only be one obtuse angle. Additionally, all the angle measures must add up to 180.
Model the following problem with a quadratic equation. Then solve.
Find the length of a side of a square with an area of 180 ft^2.
Model the problem with a quadratic equation. Let x be the length of a side of the square.
Answer &
Step-by-step explanation:
area = length(width) = x(x) = x²
180 = x²
x² - 180 (quadratic equation)
Solve:
✓180 = ✓36✓5 = 6✓5 ≈ 13.42 ft = x
Answer:
\(x=6\sqrt{5}\)
Step-by-step explanation:
1) A = s²
180 ft² = x²
180 = x²
x = x² -180
x²-180 =0
11) x² - 180 = 0
x² =180
x=\(\sqrt{36.5}\)
x=\(6\sqrt{5}\)
hope it helps
What does normal distribution mean?
Answer:
Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.
Convert the following quadratic from vertex form to standard form. Y=(x-1)^2-1
Find the area of the parallelogram with vertices k(2, 2, 1), l(2, 3, 3), m(6, 9, 3), and n(6, 8, 1).
Let \(\vec K,\vec L,\vec M,\vec N\) be vectors pointing the vertices K, L, M, and N, respectively.
The side KL is parallel to and has the same length as the vector
\(\vec L - \vec K = (2\,\vec\imath + 3\,\vec\jmath + 3\,\vec k) - (2\,\vec\imath+2\,\vec\jmath+\vec k) = \vec\jmath + 2\,\vec k\)
Similarly, the side KN is parallel and as long as
\(\vec N - \vec K = (6\,\vec\imath+8\,\vec\jmath+\vec k) - (2\,\vec\imath+2\,\vec\jmath+\vec k) = 4\,\vec\imath+6\,\vec\jmath\)
These vectors have magnitudes
\(\|\vec L - \vec K\| = \sqrt{0^2 + 1^2 + 2^2} = \sqrt5\)
\(\|\vec N - \vec K\| = \sqrt{4^2 + 6^2 + 0^2} = 2\sqrt{13}\)
and their dot product is
\((\vec L - \vec K) \cdot (\vec N - \vec K) = 0\cdot4 + 1\cdot6+1\cdot0 = 6\)
The parallelogram spanned by the vectors \(\vec L-\vec K\) and \(\vec N-\vec K\) has area equal to the magnitude of their cross product, for which we have the identity
\(\bigg\|(\vec L - \vec K) \times (\vec N - \vec K)\bigg\| = \|\vec L - \vec K\| \|\vec N - \vec K\| \sin(\theta) \\\\ \implies \text{area} = 2\sqrt{65} \, \sin(\theta)\)
where \(\theta\) is the angle between the sides KL and KN.
From the dot product identity, we have
\((\vec L - \vec K) \cdot (\vec N - \vec K) = \|\vec L - \vec K\| \|\vec N - \vec K\| \cos(\theta) \\\\ \implies 6 = 2\sqrt{65} \cos(\theta)\)
Then
\(\cos(\theta) = \dfrac3{\sqrt{65}} \implies \sin(\theta) = \sqrt{1-\cos^2(\theta)} = 2\sqrt{\dfrac{14}{65}} \\\\ \implies \text{area} = 2\sqrt{65} \cdot 2\sqrt{\dfrac{14}{65}} = \boxed{4\sqrt{14}}\)
is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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how many batches of raisin granola bars can inez make if she has 8/3 cups of raisings and each batch requires 2/3 cup of raisins? \frac{1}{4}\enspace batch
If Inez has 8/3 cup of raisings and each batch takes 2/3 cup of raisins, she may create 4 batches of raisin granola bars.
What is fraction?In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator. A common fraction is a numeric representation of a rational integer. The same number can be expressed as a decimal, a percentage, or with a negative exponent. Fractions indicate pieces of a whole or group of items. A fraction is made up of two components. The number at the top of the line is referred to as the numerator. It specifies the number of equal sections of the whole or collection that are taken. The figure below the line is denominator.
Here,
8/3÷2/3=4
2/3 • 4 = 8/3
2/3 + 2/3 + 2/3 + 2/3 = 8/3
2/3 = 0.67
0.67 • 4 = 2.67
8/3 = 2.67
4 batches of raisin granola bars can inez make if she has 8/3 cups of raisings and each batch requires 2/3 cup of raisins.
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3x + 2y = -7
2x - 5y = 8
please help solve!! i need my work need to me shown so please help me! ❤️
Answer:
56/19
Step-by-step explanation:
I'll approach this using Substitution. Since 3X = 2Y, we know that 1.5X = 1Y. We can plug that into the first equation, which gives us...
2X + 5(1.5X) = 8
2X + 7.5X = 8
9.5X = 8
19X = 16
X = 16/19
While this is not 'pretty', it does match up with how most of the answers are written (four of the answers involve "nineteenths"). With this value of X, we can solve for Y...
3X = 2Y
3(16/19) = 2Y
48/19 = 2Y
24/19 = Y
With the value of X and the value of Y, we can answer the question that's asked:
2X + Y = ?
2(16/19) + 24/19 =
32/19 + 24/19 =
56/19
Final Answer: 56/19
Answer:
\(x = - 1\)
\(y = - 2\)
Step-by-step explanation:
\(3x + 2y = - 7\)
\(2x - 5y = 8\)
Apply elimination method. Let multiply the bottom equation by -3/2.
\(2 \times - \frac{3}{2} x = - 3\)
\( - 5 \times - \frac{3}{2} = 7.5\)
\(8 \times - \frac{3}{2} = - 12\)
Substitute new equation and add it to the top equation
\(3x + 2y = - 7\)
\( - 3x + 7.5y = - 12\)
\(9.5y = - 19\)
\(y = - 2\)
Now plug -2 for y into any equation and solve for x.
\(3x + 2( - 2) = - 7\)
\(3x - 4 = - 7\)
\(3x = - 3\)
\(x = - 1\)
Draw a box and whisker plot for the data set:
The box and whisker plots and the IQR for each of the data set is given below.
How to Draw a Box and Whisker Plot?A box and whisker plot has a rectangular box and two lines that connect from it on both sides, where:
The minimum value of the data is at the beginning of the left whisker.The value at the beginning of the box is the Q1.The value at the center of the box is the median.The value at the end of the box is the Q3.The maximum value of the data is at the end of the left whisker.The above stated values are referred to as the five-number summary of a data.
What is the Interquartile Range (IQR)?The interquartile range (IQR) = Q3 - Q1.
6. The five-number summary for the data set, 32, 34, 36, 37, 36, 37, 38, 37, 38 are:
Minimum: 32First Quartile: 35Median: 37Third Quartile: 37.5Maximum: 38The IQR is: 37.5 - 35 = 2.5
7. The five-number summary for the data set, 52, 52, 55, 55, 53, 56, 57, 57, 58 are:
Minimum: 52First Quartile: 52.5Median: 55Third Quartile: 57Maximum: 58The IQR is: 57 - 52.5 = 4.5
8. The five-number summary for the data set, 50, 51, 52, 58, 58, 59, 49, 50, 49 are:
Minimum: 49First Quartile: 49.5Median: 51Third Quartile: 58Maximum: 59The IQR is: 58 - 49.5 = 8.5
9. The five-number summary for the data set, 18, 16, 15, 19, 11, 14, 12, 14, 16 are:
Minimum: 11First Quartile: 13Median: 15Third Quartile: 17Maximum: 19The IQR is: 17 - 13 = 4
The box and whisker plot for each of the data set given is shown in the diagram below.
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how many acres is a lot that totals 19,602 square feet...?
The area covered by 19, 602 square feet in acres is around 0.45, according to the relation between the two.
As per the known relation between acre and square foot, the two quantities are related through the formula -
1 acre is equal to 43, 560 square feet
Therefore, formula to convert square feet to acre will be -
Amount of area in acres = area covered in square feet/unit equivalent area in square feet
So, rewriting the above mentioned relation.
43, 560 square feet is equal to 1 acre
Thus, 19, 602 square feet will be equal to acres = 19, 602/43, 560
Performing division on Right Hand Side of the equation
The amount of area in acres = 0.45 acres
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A math class consists of 45 students, 22 female and 23 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).
(a) What is the probability that a male is selected, then two females?
(b) What is the probability that a female is selected, then two males?
(c) What is the probability that two females are selected, then one male?
(d) What is the probability that three males are selected?
(e) What is the probability that three females are selected?
The probability of each questions are: (a) ≈ 0.0978 (b) ≈ 0.0921 (c) ≈ 0.0906 (d) ≈ 0.0993 (e) ≈ 0.0754
(a)To solve these probability problems, we can use combinations and the concept of conditional probability.
(a) Probability of selecting a male, then two females:
First, we need to calculate the probability of selecting a male, which is 23 males out of 45 total students. After one male is selected, we have 22 females remaining out of 44 total students. For the second female, we have 22 females out of 44 remaining students, and for the third female, we have 21 females out of 43 remaining students. Therefore, the probability is:
P(male then two females) = (23/45) × (22/44) × (21/43) ≈ 0.0978
(b) Probability of selecting a female, then two males:
Similarly, we start with selecting a female, which is 22 females out of 45 total students. After one female is selected, we have 23 males remaining out of 44 total students. For the second male, we have 23 males out of 44 remaining students, and for the third male, we have 22 males out of 43 remaining students. Thus, the probability is:
P(female then two males) = (22/45)×(23/44)×(22/43) ≈ 0.0921
(c) Probability of selecting two females, then one male:
Here, we start with selecting two females, which is 22 females out of 45 total students. After two females are selected, we have 23 males remaining out of 43 total students. For the third male, we have 23 males out of 43 remaining students. Therefore, the probability is:
P(two females then one male) = (22/45) × (21/44) × (23/43) ≈ 0.0906
(d) Probability of selecting three males:
We simply calculate the probability of selecting three males out of the 23 available males in the class:
P(three males) = (23/45) ×(22/44)×(21/43) ≈ 0.0993
(e) Probability of selecting three females:
Similarly, we calculate the probability of selecting three females out of the 22 available females in the class:
P(three females) = (22/45)×(21/44)× (20/43) ≈ 0.0754
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The figure below is dilated by a factor of 33 centered at the origin. Plot the resulting image.
The image of the transformation is R' (-12, 3), S' (-12, 12) and T' (-6, 3)
How to determine the image of the transformation?The complete question is added as an attachment
The coordinates of the triangle are given as
R = (-4, 1)
S = (-4, 4)
T = (-2, 1)
The transformation is given as
Dilation by a scale factor of 3Centered at the originThe rule of the transformations is
(x, y) = 3(x, y)
So, we have
R' = 3 * (-4, 1) = (-12, 3)
S' = 3 * (-4, 4) = (-12, 12)
T' = 3 * (-2, 1)= (-6, 3)
Hence, the image of the transformation is R' (-12, 3), S' (-12, 12) and T' (-6, 3)
See attachment for the image of the transformation
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ARCHERY The height, in feet, of an arrow can be modeled by the expression 89- 161², where is the time in
seconds. Factor the expression.
The factored expression is 89 - 161² = - ( 161 + √89 ) ( 161 - √89 ).
How to determine factored expression?The expression can be factored as:
89 - 161² = -161² + 89
Use the difference of squares formula, which states that:
a² - b² = ( a + b )( a - b )
In this case,:
a = 161 and b = √89
So, write:
-161² + 89 = - ( 161 + √89 ) ( 161 - √89 )
Therefore, the factored expression is:
89 - 161² = - ( 161 + √89 )( 161 - √89 )
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What is the solution set to the inequality (4x-3)(2x-1)>0?
Answer:
(-infinity,1/2) union (3/4,+infinity)...hope it helped you
1. to multiply two ___________ with the same index, multiply the integers together and then multiply the radicands together. then simplify the radical expression.
To multiply two square roots with the same index, you can multiply the integers outside the radical together and then multiply the radicands (the numbers inside the radicals) together. Afterward, simplify the radical expression if possible.
For example, let's consider the expression √3 * √5. To multiply these two square roots, we multiply the integers outside the radicals, which is 1 * 1 = 1. Then, we multiply the radicands together, which is 3 * 5 = 15.
Therefore, √3 * √5 simplifies to 1√15, or simply √15.
In general, when multiplying two square roots with the same index, you can follow these steps:
1. Multiply the integers outside the radicals.
2. Multiply the radicands together.
3. Simplify the radical expression if possible.
It's important to note that this method only works for square roots with the same index. If the indices differ, you cannot directly multiply the radicals together.
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yo i need help please no links i just need the correct answer to pass this
The sum of 2 consecutive integers is –33. If n is the 1st integer, which equation best models the situation?
On + (2n + 1) = -33
. n(n+1) = -33
ations
On + (n + 1) = -33
55
On + 2n + -33
Drive
Answer:
hard
Step-by-step explanation:
I have never seen this before
Answer:
n + (n + 1) = -33
Step-by-step explanation:
First integer = n (given)
Therefore, second integer = (n + 1)
According to the given information:
n + (n + 1) = - 33
336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
Need help ASAP DUE SOON PLEASE AND SHOW WORK ?!!!
Answer: 804.25
Step by step explanation:
Cuánto ganaría un accionista que tiene 100 acciones, si cada acción que él compró aumenta de $20.00 a $30.00
Answer:
$2,000 and $3,000
Step-by-step explanation:
The computation is shown below:
Given that
The Number of shares is 100
The Increase from $20 to $30
If the per share is $20, so the earning of the shareholder is
= 100 shares × $20
= $2,000
And ,if the per share is $30, so the earnings of the shareholder is
= 100 shares × $30
= $3,000
f(x)=(x-2)^2 + 3
please give the
vertex
min of man and the value
axis of symmetry
x intercepts
y intercepts
domain
range
intervals of increase
intervals of decrease
Frank bought $7000 worth of office equipment. The government allows for office equipment to be depreciated at at annual rate of 5.6% per year. How many years will it take to depreciate the equipment 62% ?
It will take approximately 12.13 years for the equipment to depreciate by 62% of its original value.
How to solve the problem?
To solve this problem, we need to determine the number of years it will take for the equipment to depreciate by 62% of its original value of $7000.
The annual depreciation rate is 5.6%, which means that each year the equipment will lose 5.6% of its value. So, after one year, the equipment will be worth 100% - 5.6% = 94.4% of its original value.
We can use this information to set up an equation to solve for the number of years it will take for the equipment to depreciate by 62%:
$7000 * (1 - 0.056)ⁿ = $7000 * 0.38
where n is the number of years it will take for the equipment to depreciate by 62%.
Simplifying this equation, we get:
$7000 * 0.944ⁿ = $2660
Dividing both sides by $7000, we get:
0.944ⁿ = 0.38
Taking the natural logarithm of both sides, we get:
n * ln(0.944) = ln(0.38)
Dividing both sides by ln(0.944), we get:
n = ln(0.38) / ln(0.944) ≈ 12.13
Therefore, it will take approximately 12.13 years for the equipment to depreciate by 62% of its original value.
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