We know that all the 45 woods have 328.5 yards in length, and by the table we know that 1 yard is 3 feet, so in total, the 45 woods have :
\((328.5\times3)feets\text{ }\rightarrow\text{ 985.5 f}eets\)To find the length of each wood, we just need to divide the total by 45, wich gives us:
\(\text{wood length=}\frac{985.5}{45}=21.9\text{ f}eet\)What is the distance formula?(X2+x1)2-(y2+y1)2(X2-x1)+(y2-y1)(Y2-y1)2-(x2-x1)2(X2-x1)2+(y2-y1)2
\({ \red{ \bold{option \: (d)}}}\)
\({ \blue{ \tt{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }}}}\)
Step-by-step explanation:
The distance formula is
\({ \green{ \bold{ \sqrt{ {(x2 - x1)}^{2} + ( {y2 - y1)}^{2} }}}}\)
Find the area of this parallelogram.
6 cm
11 cm
Step-by-step explanation:
given,
base( b) = 6cm
height (h)= 11cm
now, area of parallelogram (a)= b×h
or, a = 6cm ×11cm
therefore the area of parallelogram (p) is 66cm^2.
hope it helps...
. The sandwich shop offers 8 different sandwiches. Jamey likes them all equally. He picks one randomly each day for lunch. During a given week of 5 days, let X be the number of times he chooses salami, Y the number of times he chooses falafel, and Z the number of times he chooses veggie. Find the joint probability mass function of (X, Y, Z). Identify the distribution by name.
Answer:
Step-by-step explanation:
From the given information:
A sandwich shop offers eight types of sandwiches, and Jamey likes all of them equally.
The probability that Jamey picks any one of them is 1/8
Suppose
X represents the number of times he chooses salami
Y represents the number of times he chooses falafel
Z represents the number of times he chooses veggie
Then X+Y+Z ≤ 5 and;
5-X-Y-Z represents the no. of time he chooses the remaining
8 - 3 = 5 sandwiches
However, the objective is to determine the P[X=x,Y=y,Z=z] such that 0≤x,y,z≤5
So, since he chooses x no. of salami sandwiches with probability (1/8)x
and y number of falafel with probability (1/8)y
and for z (1/8)z
Therefore, the remaining sandwiches are chosen with probability \(\dfrac{5}{8} (5-x-y-z)\)
So. these x days, y days and z days can be arranged within five days in
\(= \dfrac{5!}{x!y!z!(5-x-y-z)!}\)
Thus;
\(P[X=x,Y=y,Z=z]= \dfrac{5!}{x!y!z!(5-x-y-z)} \times \dfrac{1}{8}x*\dfrac{1}{8}y* \dfrac{1}{8}z* \dfrac{5}{8}(5-x-y-z)\)
since 0 ≤ x, y, z ≤ 5 and x + y + z ≤ 5.
The distribution is said to be Multinomial distribution.
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
Use the diagram in the photo to answer the questions that follow.
Answer:
Step-by-step explanation:
1. y =25x
2. answer : 250
3.independent is n and dependent is v
f(x)=x^2. What is g(x)?
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
It also has a perpendicular height of 12 cm.
The volume of the pyramid is 96 cm³.
Given that the volume of a pyramid is one third of the area of the base
multiplied by the perpendicular height, find the dimensions of the base
of the pyramid.
Optional working
width: Answer
length: Answer
cm
cm
The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).
What is base of a pyramid?The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.
Define the term dimensions?Dimensions refer to the number of coordinates needed to specify the location of an object in space.
Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:
Volume of pyramid = 1/3 × base area ×height
96 = 1/3 ×(3x+1) × x ×12
Simplifying the equation:
96 = 4x² + (4/3)x
Multiplying both sides by 3 to eliminate the fraction:
288 = 12x² + 4x
Rearranging the equation into a quadratic form:
12x² + 4x - 288 = 0
Dividing both sides by 4 to simplify the equation:
3x² + x - 72 = 0
We can then use the quadratic formula to solve for x:
x = (-b ± \(\sqrt{(b^2-4ac)}/2a\)
where a = 3, b = 1, and c = -72.
Plugging in the values:
x=(-1±\(\sqrt{1^2-4(3)(-72)} /2(3)\))
x=(-1±\(\sqrt{1+864} /6\))
x = (-1 ±\(\sqrt{865} /6\) )
Since the width of the base cannot be negative, we take the positive solution:
x = (-1 + √(865) / 6
Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).
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PLEASE IF YOUR A MATH EXPERT ANSWER THIS I'M LOSING MY SANITY
What is the value of 7m−3n when m = 3 and n = 2?
A: 5
B: 15
C: 24
D: 36
=======================================================
Explanation:
The variables m and n are placeholders for numbers. In this case, we replace m with 3 and n with 2 since m = 3 and n = 2.
We'll use PEMDAS to simplify
So,
7m - 3n
7*3 - 3*2
21 - 6
15
The expression 7m-3n turns into 15 after plugging in those m and n values, and simplifying.
Answer:
21-6=15. 15 is your answer. (B)
Step-by-step explanation:
…
It’s a simple problem
If the value of m=3,
Then 7*3=21
And if n’s value is 2, then 3n would be 3*2, which is 6.
And if we put it in equations:
21-6,
THEREFORE, we get 15, also known as 15.
Find the equation of the line with slope - 7 and passing through (-10,4). Write your equation in point-slope
AND slope-intercept forms.
Answer:
y-4=-7(x-(-10))
y=-7x-66
Step-by-step explanation:
Solve 7|14i-10|+9 = 37
Answer:
i = 1, (3/7)
Step-by-step explanation:
7|14i-10|+9 = 37,
-9 -9
------------------------
7|14i - 10| = 28
÷7 ÷7
---------------------
|14i - 10| = 4
14i - 10 = 4
+10 +10
------------------
14i = 14
÷14 ÷14
--------------
i = 1
|14i - 10| = -4
14i - 10 = -4
+10 +10
---------------------
14i = 6
÷14 ÷14
--------------
i = (3/7)
I hope this helps!
determine the relationship between the measures of the given angles
∠PTV > ∠VPT. This is because the angle opposite to the larger side is greater.
What are angles and dihedral angles? What is equation modelling? In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is a 2 - D image as shown in the question.
It can be concluded that ∠PTV > ∠VPT. This is because the angle opposite to the larger side is greater.
Therefore, ∠PTV > ∠VPT. This is because the angle opposite to the larger side is greater.
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Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches. what is the perimater
Answer:
62.8 inches
.Step-by-step explanation:
The wire consists of 14 semicircle + 4 3/4 circles. The diameter of each circle = 8 / 4 = 2 inches.Length of a semicircle = 1/2 * pi * diameter and of a 3/4 circle it is 3/4 * pi * diameter.So the perimeter of the wire= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2= 14 * 3.14 + 4 * 3/2 * 3.14= 62.8 inches.
Answer:
62.8 inches
Step-by-step explanation:
= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2
= 14 * 3.14 + 4 * 3/2 * 3.14
= 62.8 inches.
Write this ratio as a fraction in simplest form without any units.
72 minutes to 1 hour
Refer to the figure to complete the following item.
Given:
If m = 60° and m = 30°, then 3 =
45
15
30
If m VB = 60° and m BS = 30°, then m ∠3 =15°.
What is tangent?A tangent is a line passing by touching the perimeter of the circle, perpendicular to the line joining the center and touch point.
Given, PB tangents PV, PU secants
If m VB = 60° and m BS = 30°, then m ∠3 =
The measurement of the external angles is the semi difference of the arcs it consists.
∠3 = 1/2 (60 - 30)
∠3 = 15°
Thus, If m VB = 60° and m BS = 30°, then m ∠3 =15°.
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Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Find the length of the hypotenuse in a 45-45-90 triangle with legs 8 cm (draw a picture):O 11.31 cmO 5.66 cm08.66 cmO 10 cm
Our triangle would be:
Using the pythagorean theorem, we get that:
\(h^2=8^2+8^2\)Solving for h :
\(\begin{gathered} h^2=8^2+8^2\rightarrow h=\sqrt[]{8^2+8^2} \\ \Rightarrow h=11.31 \end{gathered}\)Thereby, the hypotenuse measures 11.31 cm
Solve the inequality 5x – 6 < 2 + (30 – 4). Express the solution as an inequality
Answer:
x < 6.8 or 34/5
Step-by-step explanation:
The parenthesis on the right side don't affect the inequality in any way so we can get rid of that.
5x – 6 < 2 + 30 – 4
Now we simplify the right side by combining like terms.
5x - 6 < 28
Our goal is to isolate x
Add 6 to both sides
5x < 34
Divide both sides by 5
x < 34/5
x < 6.8
What distance can a plane travel of. It travels at a rate of 845 mph for 6 1/2 hours
Answer:
5,492.5 Miles
Step-by-step explanation:
Because it traveled 845 miles each hour for 6 hours and a half. So 845 times 61/2 or 6.5 is 5,492.5.
A home has gone up in value over several
decades and is now worth 1354% of its
original sale price of $23,000. What is the
value now?
Answer:
$31,142
Step-by-step explanation:
To convert a percentage into a decimal, you move the decimal two places to the left. 1354% converted into a decimal is 13.54.
$23,000 * 13.54 = $31,142
What is the y intercept of the function f (x) = -2/9x + 1/3 ?? Please help ! :0 :)
y intercept of the function f (x) = -2/9x + 1/3
is
\( \frac{1}{3} \)
OPTION C
You had $22 to spend on four raffle tickets. After buying them you $6 left. How much did each raffle ticket cost?$
Answer:
Each raffle ticket costs $5.50.
Step-by-step explanation:
☆We can use proportion to solve this!
\( \frac{22 \: dollars}{4 \: tickets} = \frac{x}{1 \: ticket} \\ \\ \frac{4x}{4} = \frac{22}{4} \\ \\ x = 5.5\)
NAME
DATE
PERIOD
9.
Kylie and Alyssa are working together to put 96 cookies on trays for the class to enjoy. Mrs. Grim
tells them to divide them up by 8. Kylie says that means there will be 8 cookies on 12 trays. Alyssa
disagrees and thinks there should be 12 cookies on 8 trays. Who is right? Why? (4 pts)
Answer:
I belive it should be 96 divided by 8 because it's 2 variable given to us. answer should be 12 according to this but if you want to decide the 96 cookies by unknown students/trays then you might loose. my best advice
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Evaluate 3b²-c when b = 1/2 and c = 1/4
Answer:
1/2
Step-by-step explanation:
We are given the expression 3b²-c, and we want to evaluate it if b is 1/2 and c is 1/4.
Because b and c are given values, we can substitute them into the expression as so:
Replace b with 1/2 in the expression.
3(1/2)²-c
Now replace c with 1/4 in the expression.
3(1/2)²-1/4
Now to solve this, we need to use the order of operations, which is usually known as PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) in the United States, although other countries have different abbreviations.
Regardless, the order of operations tells us that we should start with what is inside parentheses (i.e. if we need to do anything, like multiplying or dividing any numbers that are inside parentheses).
In this case, we don't have anything. So, we should go next to exponents, and we do have an exponent here (1/2 is raised to the second power).
So let's evaluate that.
Raise 1/2 to the second power (multiply it by itself).
1/2 * 1/2 = 1/4
We can substitute (1/2)² with 1/4:
3(1/4) - 1/4
Next, we should take care of any multiplication / division, making sure that we should work left to right
There is one multiplication thing to do: the 3(1/4), which will be 3/4
Replace 3(1/4) with 3/4.
3/4 - 1/4
Now, we can subtract 1/4 from 3/4, as the final two things in PEMDAS are addition and subtraction (A and S). Note that even though while addition is written first, we should always be working left to right, so for example if we had 3 - 4 + 6, we should do 3 - 4 first, THEN add 6 to the result of that. The same is true for multiplication and division.
3/4 - 1/4 = 2/4 = 1/2
14. Stewart, Angela, and Thomas each prefer a different type of
book. They read history, poetry, and science fiction. Angela
does not like poetry. Thomas does not like poetry or science
fiction. Which type of book does each person like best?
Answer:
go ask your teacher
Step-by-step explanation:
Which choice is equivalent to the expression below?
√-12
A. 2√3i
B. 2i√3
C. 12i
D. -2√3
E. -12i
Answer:
Step-by-step explanation:
Remark
√-12
The square root of -12 must have an i in it somewhere. If it does not, then the minus sign stays under the root sign. If you take the root of -1 you get i, and that is outside √ sign.
Solution
A is incorrect. i is on the outside of the root sign.
B is the answer.
C does not seem to take the square root of anything except -1 so it is incorrect.
D Has no i anywhere and the -1 is incorrectly placed. D is wrong
E is just wrong. The minus should disappear once the square root of -1 is taken. 12 has a root that has not been declared.
A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents the number of years of growth. An exponential model for the population can be written in the form P =aâb^t where p =_________
Answer:
The exponential model for the population is \(P(t) = 19000e^{0.048t}\)
Step-by-step explanation:
The exponential model for the population has the following format:
\(P(t) = P(0)e^{rt}\)
In which P(0) is the initial population and r is the growth rate, as a decimal.
A population numbers 19,000 organisms initially and grows by 4.8% each year.
This means that \(P(0) = 19000, r = 0.048\)
So
\(P(t) = P(0)e^{rt}\)
\(P(t) = 19000e^{0.048t}\)
The exponential model for the population is \(P(t) = 19000e^{0.048t}\)
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1= ² + 4
X-4
To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:
\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)
To simplify this expression, we can expand the square:
\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)
Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)
Next, let's find g(f(x)). We substitute f(x) into the function g(x):
\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)
Hence, g(f(x)) simplifies to 1/x^2.
In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.
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the pumpkin patch is open everyday. if it sells 2,750 pounds each day, about how many pounds does it sell in 7 days?
Answer:
19250
Step-by-step explanation:
2750*7=19250