The perimeter of the given yard is P = 10x + 6
Perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is expressed as:
P = 2(l + w)
where
l is the length
w is the width
Given the following parameters
length = 4x+6
width = x-3
Substitute
P = 2(4x+6+x-3)
P = 2(5x + 3)
P = 10x + 6
Hence the perimeter of the given yard is P = 10x + 6
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Plz solve the calculus :')
Answer:
[tex] \frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c[/tex]
Step-by-step explanation:
[tex] \int \frac{1}{ \sqrt{x} - \sqrt{x - 1} } dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x} - \sqrt{x - 1} )( \sqrt{x} + \sqrt{x - 1} )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x})^{2} - (\sqrt{x - 1} )^{2}} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - (x - 1 )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - x + 1} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ 1} dx \\ \\ = \int (\sqrt{x} + \sqrt{x - 1}) dx \\ \\ = \int \sqrt{x} \: dx+ \int\sqrt{x - 1} \: dx \\ \\ = \int {x}^{ \frac{1}{2} } \: dx+ \int {(x - 1)}^{ \frac{1}{2} } \: dx \\ \\ = \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} } + \frac{ {(x - 1)}^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} {x}^{ \frac{3}{2} } + \frac{2}{3} {(x - 1)}^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \bigg[ \sqrt{ {x}^{3} } + \sqrt{ {(x - 1)}^{3} } \bigg] + c \\ \\ = \bold{\purple {\frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c}} [/tex]
Write a response to the following using Claim, Evidence, Reasoning.
Refer to the kite ABCD with diagonal AC shown above.
Use careful reasoning to explain why 21 22 and 23 24.
Answer:
The answer is A 21
Step-by-step explanation:
It is given that y =x^2. If x is increased by 10%, find the percentage change in y.
Answer:
Step-by-step explanation:
y = x^2
X increased by 10% = 1.10x
(1.10x)^2 = 1.21x^2
y increases by 21%
Please help Firts I need to write with a function
Second what is the answer
Answer:
Step-by-step explanation:
The answer is 48 hotdogs because 120 divided by $2.50 is 48
Mother plans to buy 1/2 kilogram of chicken and 2/5 kilogram of beef How many kilograms of meat does she plan to buy?
Answer:
Step-by-step explanation:
What is the temperature shown?
Answer:
-3
....................
Answer:
-3
Step-by-step explanation:
1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 6 , then 6² = 36
4² + 3² = 16 + 9 = 25
Since 4² + 3² ≠ 6² then triangle is not right.
The probability of a head is 0.27. The coin is thrown 200 times. Write an
estimate for the amount of tails
Answer:
The estimate for the amount of tails is 146.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The probability of a head is 0.27.
This means that the probability of tails is [tex]p = 1 - 0.27 = 0.73[/tex]
The coin is thrown 200 times.
This means that [tex]n = 200[/tex]
Write an estimate for the amount of tails
This is the expected value, so:
[tex]E(X) = np = 200*0.73 = 146[/tex]
The estimate for the amount of tails is 146.
Suppose a researcher compiled a data set consisting of the following variables for a sample of 100 retired men. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous The number of meals eaten out in the last week The number of pets currently living in the household Pant size Height in inches Pounds of chocolate consumed in the past year
Step-by-step explanation:
A discrete variable can be defined as a definite variable that we can get it's possible values just by counting. With this in mind.
1. The number of countries ever visited is a discrete variable
2. Shoe size is definite, it is a discrete variable.
3. Number of pets living in a household is a discrete variable.
A continuous variable is one that we can get the value through measurements.
1. Pounds of chocolate consumed in the past is continuous
2. Height in inches is continuous
A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?
A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x
The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?
Answer:
8x^2 - 26x + 33
Step-by-step explanation:
Add the expressions.
2x^2 - 13x + 12 + 6x^2 - 13x + 21 =
= 2x^2 + 6x^2 - 13x - 13x + 12 + 21
= 8x^2 - 26x + 33
Prove: An even plus an even is
an even
2n + 2m = [? ](n + m)
= even
Answer:
2(n + m)
Step-by-step explanation:
Two different age groups were surveyed about the amount of time they spent on social media.
For b you had to add 25 and 35 together to make 60.
Divide 60 by 2 to get 30. 30 is the average between the two numbers. You then find the frequency of 30 using the graph. For the 12 year olds it is 40 and for the 18 year olds it is 60. Find the difference between these 2. So 60-40= 20
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
A contractor is required by a county planning department to submit one, two, three, four, five, six, or seven forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y—that is, p(y) = ky for y = 1, , 7.
A) What is the value of c?
B) What is the probability that at most three forms are required?
C) What is the probability that between two and four forms (inclusive) are required?
D) Could pX(x) = x^2/50 for x = 1, . . . , 5 be a probability distribution of X? Explain.
Answer:
Step-by-step explanation:
Given that:
P(Y) = ky
where;
y =1,2,...7
To find the value of c or k (constant)
[tex]\sum P(Y) = 1[/tex]
[tex]\sum \limits_{y \to 1}^7 k*y = 1[/tex]
= k(1+2+3+4+5+6+7) = 1
28k = 1
[tex]k = \dfrac{1}{28}[/tex]
b) The required probability is P ( X ≤ 3)
[tex]P(X \le 3) = \sum \limits^3_{y=1 } P(y)[/tex]
[tex]P(X \le 3) = \sum \limits^3_{y=1 } \dfrac{1}{28}(y)[/tex]
[tex]P(X \le 3) = \dfrac{1}{28} (1 +2+3)[/tex]
[tex]P(X \le 3) = \dfrac{6}{28}[/tex]
P ( X ≤ 3) = 0.2143
c) The required probability P(2 ≤ Y ≤ 4)
[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} P(Y)[/tex]
[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} \dfrac{1}{28}(Y)[/tex]
[tex]P(2 \le Y \le 4) = \dfrac{1}{28}(2+3+4)[/tex]
[tex]P(2 \le Y \le 4) = 0.3214[/tex]
d) The required probability:
[tex]P(X) = \dfrac{x^2}{50} ; \ \ \ \ where; \ x= 1,2,...5[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(x)^2[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(1+4+9+16+25)[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)=1.1[/tex]
find the meassure of the missing angle
Step-by-step explanation:
Side A is 4
Side B is 6
Perimeter is 28
If a scientific team uses special equipment to measures the pressure under water and finds it to be 282 pounds per square foot, at what depth is the team making their measurements?
p=282 pounds per square foot =1 376.8 kg/m2
d- density of water
d≈997 kg/m³
p=d*h
h=p/d
h=1 376.8/997
h=1.38 m (about 4530 feet 105⁄64 inches)
n is an integer.
Write the values of n such that -15 < 3n <6
I need know please
Answer:
-5<n≤2
Step-by-step explanation:
Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2
Please help me!!!!
Eight students share 12 mini oatmeal muffins equally and 6 students share 27 mini apple muffins equally.
Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets
muffins.
Step-by-step explanation:
oatmeal 12/8 = 1.5 per student
apple 27/6 = 4.5 per student
carmine gets 1.5 + 4.5 = 6 muffins
Answer:
Step-by-step explanation:
(12 oatmeal)/(8 students) = (1.5 oatmeal)/student
Each student gets 1.5 oatmeal muffins.
(27 apple)/(6 students) = (4.5 apple)/student
Each student gets 4.5 apple muffins.
Carmine gets 1.5 oatmeal plus 4.5 apple = 6 muffins
Whoever answers first gets brainliest
Step-by-step explanation:
nasaan po ang tanong, where is the question
Help me pls and pls show work
Answer:
if you need it as improper then 25/12
Step-by-step explanation:
Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.
Step-by-step explanation:
no entiendo.....aaaaa
Answer:
6b+4
Step-by-step explanation:
HELP ME ANSWER THIS PLEASE!!!!!
Complete the proof that m
6/30 in its simplest form
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
6/30 can be simplified by finding the LCD (least common denominator), which is 6
divide both the top & bottom by 6
6/6 = 1
30/6 = 5
thus, your answer is 1/5
I need help on this :)
Answer:
<
Step-by-step explanation:
Need points :(
Answer:
Step-by-step explanation:
x+23+x=90
2x=67
x=33.5
Sarah is a news anchor. She works 55 hours a week, but she is only on-air about 17% of those hours. Approximately how many hours is Sarah on-air each week?
SOEMOEN HELP ME WITH THE MATH PROBLME If x is 6, what is:
X 2
Answer:
36
Step-by-step explanation:
The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!
(1,−1)and(6,9) Write the slope-intercept form of the equation of the line through the given points.
Answer:
2
Step-by-step explanation:
So first you would do y2-y1/x2-x1
9-(-1)/6-1
10/5=
2
At a party, the amount of people who ate chicken wings was 9 less than 3 of the total
number of people. The number of people who ate chicken wings was 2. Write and solve an equation
to find the number of people at the party. Let x represent the number of people at the party. Use pencil
and paper. Write a one-step equation that has the same solution.
Answer:
3-9= the number of people who at chicken wings and the number of people who ate chicken wings were 2. By the way i dont know if did my math absolutley correct. sry:(
find y and round to the nearest tenth. thank you
Answer and Step-by-step explanation:
31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.
That means we can solve for y using the trigonometric function of tangent.
[tex]tan(31) = \frac{y}{600}[/tex]
Multiply by 600 to both sides, then use a calculator to solve.
600(tan(31)) = x
x = 360.5163714
x ≈ 360.5 is the answer.