The width of the rectangle is 3.5 feet
Solving for the missing sides of a rectangle
The width of the rectangle = w
The length of the rectangle = l
The perimeter = p
Length of the rectangle is two feet greater than twice it’s width
l = 2w + 2
p = 2(l + w)
p = 2(2w + 2 + w)
p = 2(3w + 2)
p = 6w + 4
The perimeter of the rectangle is 25 ft
25 = 6w + 4
This can be rewritten as:
6w + 4 = 25
6w = 25 - 4
6w = 21
w = 21/6
w = 3.5
Therefore, the width of the rectangle is 3.5 feet
Learn more on missing sides of a rectangle here: https://brainly.com/question/383764
#SPJ1
Imagine the center of the London Eye Ferris Wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for the ferris wheel, and sketch an image of what the ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar.
answer
symbolic materials ?
[tex]\int_{1}^{7} \frac{1}{x^{8}} d x[/tex]
\int_{1}^{7} \frac{1}{x^{8}} d x
Use the power rule,
[tex]\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C[/tex]
with [tex]n=-8[/tex]. It follows by the fundamental theorem of calculus that
[tex]\displaystyle \int_1^7 \frac{dx}{x^8} = -\frac1{7x^7} \bigg|_{x=1}^{x=7} = -\frac17 \left(\frac1{7^7} - \frac1{1^7}\right) = \boxed{\frac17 - \frac1{7^8}}[/tex]
find the y intercept of 2x - 5y + 7 = 0
Which of the following is not a step in finding the area of an unknown figure?
- Calculate the areas of the smaller figures.
- Plug all dimensions into the formula: SA=Ixwxh.
- Divide the figure into smaller, known figures.
- Add up the areas of the smaller figures.
The answer choice which is not a step in finding the area of the unknown figure is; Plug all dimensions into the formula: SA=Ixwxh. option B
Which is not a step in finding the area of an unknown figure?It follows from the task content that all other steps except Plugging all dimensions into the formula; SA = l×w×h are correct steps.
This is due to the fact that, the formula does not work for all shapes and hence, it can't be generalized for all situations.
The step which is not involved in finding the area of an unknown figure is; Plug all dimensions into the formula: SA=Ixwxh.
Read more on area of shapes;
https://brainly.com/question/25965491
#SPJ1
Answer:
B) Plug all dimensions into the formula: SA=Ixwxh.
Step-by-step explanation:
An employee at a fireworks company is designing a rocket. The rocket will consist of a cardboard circular cylinder with a height that is seven times as large as the radius. On top of the cylinder will be a cone with a height of 5 in. and a radius equal to the radius of the base as shown in the figure. If the company wants to fill the cone and the cylinder with a total of 204 in.^3 of powder, then what should be the radius of the cylinder? Note that the volume of a right circular cylinder with radius r and height h is and the volume of a cone with a base of radius r and height h is .
The radius of the cylinder should be approximately 2.040 inches long.
How to calculate the radius of a rocket to contain a required quantity of powder
The volume required to store the powder is the sum of the volumes of the cylinder and the cone, whose expression is in this case:
204 in³ = (π/3) · r² · (4 in) + π · r² · h
204 in³ = (4/3 + h) · π · r²
204 in³ = (4/3 + 7 · r) · π · r²
204 = (4π/3) · r² + 7π · r³
7π · r³ + (4π/3) · r² - 204 = 0
The positive roots of the cubic equation are:
r ≈ 2.040 in
The radius of the cylinder should be approximately 2.040 inches long.
To learn more on volumes: https://brainly.com/question/1578538
#SPJ1
Simplify the trigonometric expression (sin^2(x/2)) (1 + cos(x)) using Half-Angle Identities.
Answer:
B
Step-by-step explanation:
1-cos2x=2sin²(x/2)
[tex]sin^2(\frac{x}{2} )=\frac{(1-cos(2x))}{2}\\(sin^2(\frac{x}{2} ))(1+cos(x))= \frac{(1-cos(2x))(1+cos(x))}{2}[/tex]
In a game of chance, two fair dice are thrown. If the sum of the two dice is seven, you get paid out $90. If the sum of two dice is a six or an eight, you must pay $90(No money is exchanged for all other sums). How much money would you expect to win or lose, on average, per game?
You are expected to lose $ 10 on an average per game
How to determine the amount of money you would winTotal outcome = 36Event of sum of 7 = 6Amount per sum of 7 = $ 90Amount won per game =?Probability of sum of 7 = 6 / 36
Probability of sum of 7 = 1 / 6
Amount won per game = (1 / 6) × 90
Amount won per game = $ 15
How to determine the amount of money you would loseTotal outcome = 36Event of sum of 6 = 5Event of sum of 8 = 5Event of sum of 6 or 8 = 5 + 5 = 10Amount per sum 6 or 8 = $ 90Amount lose per game =?Probability of sum 6 or 8 = 10 / 36
Probability of sum 6 or 8 = 5 / 18
Amount lose per game = (5 / 18) × 90
Amount lose per game = $ 25
How to determine your expect earning on an avarge per gameAmount won per game = $ 15Amount lose per game = $ 25Expected earnings =?Expected earnings = Amount won per game - Amount lose per game
Expected earnings = 15 - 25
Expected earnings = -$ 10
Thus, you are expected to lose $ 10 on an average per game
Learn more about probability:
https://brainly.com/question/17239706
#SPJ1
i need the answer to this.
Answer:
56:49 = 8.7 36:48 = 3:448:42 = 8:724:36 = 2:320:30 = 2:324:32 = 3:418:27 = 2:316:14 = 8:79:12 = 3:4hope this helps
The tomato plants in Ms. Lang's
garden grow 2 inches every 3 days. How much will they grow in 15 days?
Answer:
10 inches
Step-by-step explanation:
15 days/3 days =5
5 x 2 =10
Help me please!!!!!!!!
Answer:
The ratios are not equal, so this is not a dilation.
Step-by-step explanation:
4/3 is the first ratio
3/4 is the second ratio
Since these ratios are not equal there is not a dilation.
How much money is borrowed if the interest rate is 9.25% simple interest and the loan is made for 3.5 years and has 904.88 interest
The amount borrowed is 2795
What is Principal?Principal is the amount loaned or invested in a bank or a financial institution that gives a certain interest on a specific rate over a period of time.
Analysis:
P = principal = unknown
R = rate = 9.25%
T = time = 3.5 years
I = interest = 904.88
simple interest(I) = PRT/100
P = 100I/RT
P = 100 x 904.88/3.5 x 9.25 = 2795
In conclusion, the amount borrowed is 2795.
Learn more about simple interest: brainly.com/question/20690803
#SPJ1
The difference of four times a number and seven is 21
Answer: 4n - 7 = 21, n = 7
Step-by-step explanation:
A difference indicates subtraction of two terms. Four times a number indicates that a number of any value has to be multiplied by 4.
Hence, the equation that is represented by the question is
[tex]4x - 7 = 21[/tex]
We can also solve this equation (i.e., find the value of x that makes this equation true).
Adding 7 to both sides, we get
[tex]4x - 7 + 7 = 21 + 7[/tex]
Since the -7 and 7 add to 0, the equation becomes
[tex]4x = 28[/tex]
To get x by itself, we can divide both sides by 4, making the equation
[tex]x=7[/tex]
Hence, x must be 7 to make the equation true, or 7 is a solution to the equation.
the function f(x)=-x^2-x+15 is shown on the graph. what are donain and range of the function? t
Answer:
Domain: All real numbersRange: [tex]y \leq 61/4[/tex]Step-by-step explanation:
The domain is the set of x values.
The range is the set of y values.
Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let PP represent Jeremiah's total pay on a day on which he sells xx dollars worth of computers. The table below has select values showing the linear relationship between xx and P.P. Determine how many dollars worth of computers Jeremiah would have to sell in order to get paid $130 on a given day.
Jeremiah has to sell 5000 dollars worth of computers to get paid $130 on a given day. Using the linear equation, the required value is calculated.
What is a linear equation?An equation in which if the highest degree of the variable is 1(one), then that equation is said to be a linear equation.
General form: ax + b = c; where the power of the variable x is 1.
Calculation:It is given that,
Jeremiah makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day.
Consider,
P - as total pay on a day, x - as the number of dollars worth of computers, B - as basic pay, and C - as commission percentage.
So, the linear equation that relates x and P is,
P = Cx + B ...(i)
On substituting the values from the given table we get,
122.5 = C(4500) + B ...(ii)
160 = C(7000) + B ...(iii)
175 = C(8000) + B ...(iv)
By solving equations (iii) and (iv), we get
C = 15/1000 = 0.015
B = 55
Finding x value when P = $130:
We have P = Cx + B. Then for P = 130,
130 = Cx + B
We know C = 0.015 and B = 55
On substituting these values,
130 = (0.015) x + 55
⇒ 0.015x = 130 - 55 = 75
∴ x = 75/0.015 = 5000
Therefore, the required computers are 5000 dollars worth.
Learn more about linear equations here:
https://brainly.com/question/2030026
#SPJ1
Disclaimer: The given question on the portal was incomplete. Here is the complete question.
Question: Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Jeremiah's total payments on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Jeremiah would have to sell to get paid $130 on a given day.
Table:
x: 4500, 7000, 8000
P: 122.5, 160, 175
respectively.
You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y = –x2 + 9x + 8 and the path of the dog is modeled by y = 3x + 8, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?
Yes, they intersect at the coordinates (0, 8) and (3,17)
Yes, they intersect at the coordinates (0, 8) and (4, 20)
Yes, they intersect at the coordinates (0, 8) and (6, 26)
No, the paths do not cross
Solving a quadratic equation, the correct option is given by:
Yes, they intersect at the coordinates (0, 8) and (6, 26).
What is a quadratic function?A quadratic function is given according to the following rule:
y = ax² + bx + c
The solutions are:
x1 = (-b + sqrt(Delta))/2a
x2 = (-b - sqrt(Delta))/2a
In which:
Delta = b² - 4ac
The equation for this system if:
-x² + 9x + 8 = 3x + 8
x² - 6x = 0
x(x - 6) = 0
Then:
x = 0 -> y = 3 x 0 + 8 = 8.x - 6 = 0 -> x = 6, y = 3 x 6 + 8 = 26.Which means that the correct option is:
Yes, they intersect at the coordinates (0, 8) and (6, 26).
More can be learned about quadratic equations at https://brainly.com/question/28061776
#SPJ1
Find the measure of Angle E if Arc AB = 80 degrees and Arc CD = 38. Round to the nearest tenth.
The measure of angle E in the secant intersection is 21 degrees.
How to find the angle of intersected secant?When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other
Therefore,
m∠E = 1 / 2 (∠AB - ∠CD)
m∠E = 1 / 2 (80 - 38)
m∠E = 1 / 2 (42)
m∠E = 42 / 2
m∠E = 21 degrees.
learn more on secant here: https://brainly.com/question/26029498
#SPJ1
(1/2)(-27Divided by 1/3) 2/3
The value of the quotient is - 27
How to determine the quotientTo determine the quotient, first, we have
(1/2)(-27Divided by 1/3) 2/3
[tex] \frac{1}{2} \times \frac{ - 27 \times 3}{1} \times \frac{2}{3} [/tex]Multiply the numerator and denominator
=
[tex] \frac{ - 162}{6} [/tex]
Then divide the numerator by the denominator, we get
= - 27
Thus, the value of the quotient is - 27
Learn more about quotient here:
https://brainly.com/question/8952483
#SPJ1
11. What effect size do you use for parametric t-tests?
12. What effect size do you use for non-parametric t-tests?
13. What effect size would you use for chi-square tests?
The effective sizes for parametric tests, non parametric tests and chi square tests are as detailed below.
How to interpret the size of statistics test?
11) Parametric t-tests are statistical tests that assume the data approximately follows a normal distribution. Now, when trying to check for parametric t-tests, the effective size we use is Cohen's d which is an appropriate effect size for the comparison between two means.
12) Nonparametric t-tests are those statistical tests that don’t assume anything about the distribution followed by the data, and hence are also known as distribution free tests.
In non - parametric t - tests, we calculate effect size by using the formula;
r = z/√N
where;
r is effect size
z is z value
N is Observation number.
13) In the chi-square test, the effect size index (w) is calculated by dividing the chi-square value by the number of scores and taking the square root.
The effective size is considered small if w = 0.10, Considered medium if w = 0.30, and large if w = 0.50.
Read more about Statistics test size at; https://brainly.com/question/17203075
#SPJ1
You are training to compete in a 10-kilometer race, and you know the circular running trail at your park is one mile long. How many times will you need to run this trail in order to run 10 kilometers?
Answer:
6.2 rounds
Step-by-step explanation:
since 1 kilometer is 0.62 miles
10 kilometers is 6.2 miles
so about 6 and 1/5 rounds
What is the slope of the line that contains the points (9,-4) and (1,-5)?
OA. 1
OB.1/5
O C.-1/8
O D. -1
Answer:
Step-by-step explanation:
hello .....
note : the slope of the line (AB) is :
m = (YB -YA)/(XB - XA)
given : A(9,-4) and B (1,-5)
m= ((-5)-(-4))/(1-9)
m= 1/8
A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following.
1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute.
2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses.
Mark's method is correct, because even though it is impossible to deliver mail to 1.2 houses in minute, it represents the unit rate of houses per minute .
Is Mark's method correct?The first step is to determine the unit rate of houses per minute. This can be done by dividing 36 houses by 30 minutes.
36/30 = 1.2 houses per minute
The second step is to multiply 1.2 by 7.5: 1.2 x 7.5 = 9 houses
Please find attached the complete question. To learn more about division, please check: https://brainly.com/question/194007
#SPJ1
Solve for x.
BC = 2
CD =2x-6
BD X+2
Answer:
6
Step-by-step explanation:
Assuming C lies on segment BD, we know that by the segment addition postulate,
[tex]BC+CD=BD \\ \\ 2+2x-6=x+2 \\ \\ 2x-4=x+2 \\ \\ x=6[/tex]
The values of BC = 2, CD = 2x - 6 and BD = x + 2 then the value of x = 6.
How to find the value of x?The algebraic expression should be any one of the conditions such as addition, subtraction, multiplication, and division.
In mathematics, an algebraic expression exists as an expression built up from integer constants, variables, and algebraic operations. For example, 3x² − 2xy + c exists as an algebraic expression.
To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Given: BC = 2, CD = 2x - 6 and BD = x + 2 then
BC+CD= BD
2+2x-6=x+2
Simplifying,
2x-4=x+2
Thus,
x=6
Therefore, the value of x = 6.
To learn more about the value of x, refer to:
brainly.com/question/12862290
#SPJ9
Which is the equation of an asymptote of the hyperbola whose equation is [tex]\frac{(x-2)x^{2} }{4} -\frac{(y-1)x^{2} }{36}[/tex]= 1?
y = −3x − 5
y = −3x − 7
y = 3x − 5
y = 3x + 7
The equation of the asymptote is y = 3x - 5. The correct answer is option C
What is Asymptote of an Hyperbola ?The distance from a point and the distance to a line in hyperbola is known as asymptote. The general equation is [tex]x^{2}/ a^{2} - y^{2}/b^{2} = 1[/tex]
From the given equation of hyperbola, which is
[tex]\frac{(x - 2)^{2}}{4}[/tex] - [tex]\frac{(y - 1)^{2} }{36}[/tex] = 1
The center (h , k) of the hyperbola = C(2, 1)
a = 2
b = 6
Where C = [tex]\sqrt{a^{2} + b^{2} }[/tex]
C = [tex]\sqrt{4 + 36}[/tex]
C = [tex]\sqrt{40}[/tex]
C = [tex]2\sqrt{10}[/tex]
The equation of the asymptote will be y - K = +/-(b/a)(x - h)
That is,
y - 1 = +/-(6/2)(x - 2)
y - 1 = +/-3(x - 2)
y - 1 = +/-3x - 6
y = +/-3x - 6 + 1
y = +/- 3x - 5
Therefore, the equation of the asymptote is y = 3x - 5.
Learn more about Asymptote here: https://brainly.com/question/4138300
#SPJ1
100 POINTS
Construct a horizontal line that passes through the intersection of lines AC and BC at point C. Add a vertical line segment connecting the horizontal line to line AC called FG and another vertical line connecting the horizontal line to line BC called DE.
Complete the proof.
LOOK AT IMAGE PLEASE
The blanks are as follows:
Angle addition postulateSubtraction property of equalityCorresponding sides of similar triangles are proportionalMultiplication property of equalitysec^2x-2secx.cosx+cos^2x=tan^2x-sin^2x
Prove the identity
Hello.
sin²x + cos²x = 1
cos²x = 1 - sin²x
secx = 1/cosx
sec²x = tan²x + 1
A body and tackle with a velocity ratio of 5 is used to raise a mass of 50kg through a vertical distance of 20n at a steady rate if the effort is equal to 80n. Determine (a) distance moved by effort (b)the workdone by the effort in lifting the load (c)the losses in energy involve the operating in machine
A. The distance moved by the effort is 100 m
B. The workdone by the effort in lifting the load is 8000 J
C. The losses in energy involve the operating in machine 1800 J
A. How to determine the distance moved by the effortVelocity ratio = 5Load distance = 20 mEffort distance =?Velocity ratio = Effort distance / Load distance
5 = Effort distance / 20
Cross multiply
Effort distance = 5 × 20
Effort distance = 100 m
B. How to determine the work done by the effortEffort distance = 100Effort = 80 NWorkdone by effort =?Workdone = force × distance
Workdone by effort = 80 × 100
Workdone by effort = 8000 J
C. How to determine the losses in the energyWe'll begin by calculating the workdone in lifting the load. This is illustrated below:
Mass (m) = 50 KgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 20 mWorkdone =?Workdone = mgh
Workdone = 50 × 9.8 × 20
Workdone = 9800 J
Now, we can determine the energy lost as follow:
Workdone = 9800 JWorkdone by effort = 8000 JEnergy lost =?Energy lost = 9800 - 8000
Energy lost = 1800 J
Learn more about machines:
https://brainly.com/question/10248377
#SPJ1
PLEASE HELP 80 POINTS!!!!!!
The sequence pattern for 3¹/₃, 3¹/₄, 3¹/₅, ...... is; f(n) = 3 + 1/(2 + n)
How to find the sequence pattern?We are given the sequence;
3¹/₃, 3¹/₄, 3¹/₅, ......
Now, we can see that;
First term is 3¹/₃.
However, for the second term, 1 has been added to the denominator.
Thus, we can suggest that the sequence pattern here is;
f(n) = 3 + 1/(2 + n)
where n is the nth term.
Read more about sequence pattern at; https://brainly.com/question/6561461
#SPJ1
W
If 15 cans of food are needed for 7 campers for 2 days,
the number of cans needed for 4 campers for 7 days
is? (round up to nearest whole number)
Answer:
30 cans
Step-by-step explanation:
cross multiply
14x = 28 * 15
14x = 420
x = 420/14
x = 30 cans
(02.04 LC)
Determine the equation of the line shown in the graph:
graph of a vertical line with an x intercept of negative 1
y = −1
y = 0
x = −1
x = 0
Answer:
x = - 1
Step-by-step explanation:
the equation of a vertical line is
x = c
where c is the value of the x- coordinates the line passes through
the line passes through the x- intercept of - 1 , then
x = - 1 ← equation of vertical line
Find the area of the smaller sector. Round to the nearest tenth. 130 8.02
Answer:
73.0 m²
Step-by-step explanation:
[tex] A = \dfrac{n}{360^\circ}\pi r^2 [/tex]
[tex] A = \dfrac{130^\circ}{360^\circ}\pi (8.02~m)^2 [/tex]
[tex] A = 73.0~m^2 [/tex]