Answer:
-2.475
Step-by-step explanation:
PleASE HELP I WILL MARK BRANLY ITS ALGEBRA PROBLEM!!!
Hi, your answer will be 2.6 tons. Hope it helps.
Answer:
2.6 tons can be lifted by a rope with a diameter of 2 inches.
Step-by-step explanation:
2 = √39 / π
hope this helps you
A television antenna is 10 feet tall. It has three wires that attach to its top and are anchored 8 feet
from its base. How long is each wire?
The length of each wire is 12.8 feet
The television antenna makes an angle 90 with the ground
The height of the antenna is 10 feet
The wires are anchored to the base which is 8 feet
We need to calculate the length of the wires
The height of the wire can be calculated by using pythagoras theorem
h² = b² + p²
h² = 8² + 10²
h² = 64 + 100
h = √164
h = 12.8
Therefore, the length of each wire is 12.8 feet
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[tex]a(n)=a(n-1)-5[/tex]a(n)=a(n-1)-5
The first five terms of the arithmetic sequence with the formula a(n) = a(n - 1) - 5 is; -5, -10, -15. -20, -25
What is the nth term of the arithmetic sequence?
The general formula for an arithmetic sequence is;
aₙ = a + (n - 1)d
where;
a is first term
d is common difference
aₙ is the nth term of the sequence
Now we are given the formula for the nth term of a sequence as;
a(n) = a(n - 1) - 5
Thus;
1) First term is when n = 1;
a(1) = a(1 - 1) - 5
a(1) = -5
2) Second term is when n = 2;
a(2) = -5(2 - 1) - 5
a(2) = -5 - 5
a(2) = -10
3) Third term is when n = 3;
a(3) = -5(3 - 1) - 5
a(3) = -15
4) Fourth term is when n = 4;
a(4) = -5(4 - 1) - 5
a(4) = -20
5) Fifth term is when n = 5;
a(5) = -5(5 - 1) - 5
a(5) = -25
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Complete question is;
Write the first five terms sequence defined by a(n) = a(n - 1) - 5
7. Eugene earns $2,700 monthly. He is going to be receiving a 3.5% raise. With this new raise, he
Inelieves he will earn more than $2,800 a month. Is Eugene correct in his thinking? Why or why
rot? Justify your reasoning.
Answer: No
Step-by-step explanation: to find out how much more money Eugene will be making we need to isolate the increased value provided by the raise and then add it to his already existing earnings. We do this by multiplying $2700 by 3.5%.
We would write this as 2700 x .035
This is because 100% can be converted to 1, for example if Eugene got a 100% raise we would multiply 2700 by 1 (which changes nothing) then add 2700 and 2700 together.
Since Eugene is only getting a 3.5% raise we would write it as .035 instead of 1
Now that we have our equation we first need to simplify. In this case it means we remove the two zero's from 2700 to make it 27. To make sure the answer does not get messed up will make the other side of the equation larger by moving everything two decimal points (one for each removed zero) like this.
27 x 3.5
This is much easier to work with but I will still show the steps I am using to prevent confusion.
27 x .5 = 13.5
27 x 3 = 20 x 3 + 7 x 3
20 x 3 = 60
7 x 3 =21
60+21 =81
81+13.5=94.5
Since 2700 + 94.5 = 2794.5 Eugene will not make more than $2800 dollars a month after his raise.
The actual marked price of the stove is $2400. This includes a sales tax of 12.5%. Calculate the selling price of the stove if no sales tax is included.
Answer: $2100
Step-by-step explanation:
Since 12.5 percent of 2400 is 300, Just subtract 300 from 2400 to get the selling price with no sales tax. And the final answer is $2100.
How do i solve this equation? 4x - 2y > 12
As per the given equation in form of inequality 4x - 2y > 12 gives the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.
As given in the question,
Given equation in inequality form is :
4x - 2y > 12
Simplify the given equation in intercept form we get,
2y < 4x -12
⇒ y < 2x -6
If we write this inequality in equation form we have,
y = 2x -6
slope of the line is 2
x -intercept is x = 3
y - intercept is y = -6
And in inequality form x > 3 and y < -6.
Therefore, for the given equation in form of inequality 4x - 2y > 12 gives the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.
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ethical research methods include multiple choice selecting samples that you know to be biased. always using a census as samples as not reliable. using only convenience sampling to select samples. doing your best to select an unbiased sample.
Ethical research methods include D. doing your best to select an unbiased sample.
What is research ethics?In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.
The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.
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This table shows the ratio of number of people to liters of ginger ale needed. A 2-column table has 4 rows. Column 1 is labeled People with entries 24, 12, 36, 48. Column 2 is labeled Ginger Ale (liters) with entries 4, A, B, 8. Find the missing values in the ratio table. A = B =
The missing values in the ratio table include the following:
A = 2
B = 6
What is a proportional relationship?In Mathematics, a proportional relationship can be modeled or represented by the following mathematical expression:
y = kx
Where:
x represents the number of people.y represents the liters of ginger ale needed.k represents the constant of proportionality.In order for the ratio of the number of people to liters of ginger ale needed to have a proportional relationship, the variables x and y must have the same constant of proportionality.
Next, we would calculate the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 24/4
Constant of proportionality (k) = 6.
Now, we can determine the value of A and B:
A = x/k
A = 12/6
A = 2
For the value of B, we have:
B = x/k
B = 36/6
B = 6.
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Answer: A=2 and B=6
Step-by-step explanation: I hope this helped you
:D
Help please i beg of you guys.
Answer: Answer B: m angle 5 = 152 because m angle 2 = m angle 5
Step-by-step explanation: im in 8th grade math in 7th grade
In a survey of 500 women, 750 answered that they like soccer. What percentage of women answered that they don't even like soccer?
The percentage of women that answered that they don't even like soccer is 85%
How to calculate the percentage?From the information, in the a survey of 500 women, 75 answered that they like soccer. Those that don't like soccer will be the difference between the values. This will be:
= 500 - 75
= 425
Therefore, the percentage of women that answered that they don't even like soccer will be:
= Those that don't like soccer / Total number × 100
= 425/500 × 100
= 85%
The percentage is 85%.
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Complete question
In a survey of 500 women, 75 answered that they like soccer. What percentage of women answered that they don't even like soccer?
Which expression is equivalent to 3x5y?
Answer:
15y
Step-by-step explanation:
3 times 5 is 15 with the variable
on average dog bite victims arrive at carver memorial hospital at a rate of 2 victims per day. which probability distribution is most nearly appropriate to describe the number of dog bite victims who arrive at this hospital on a given day?
The "Poisson distribution" is the probability distribution that comes the closest to accurately describing that many dog bite patients visit this hospital across any given day.
Describe the term Poisson distribution?A discontinuous probability distribution is a Poisson distribution. It provides the likelihood that a response will occur a specific number of times (k) over a specific duration or area. The mean number of occurrences, designated by the letter "lambda," is the single parameter of the Poisson distribution.The chance of a discrete (i.e., countable) result is provided by a Poisson distribution, that is an discrete probability distribution.The discrete result for Poisson distributions is k, that also stands for the frequency of an event.For the given data of,
An average of two dog bite victims show up at Carver Memorial Hospital each day.
A probability distribution that most accurately predicts the number of dog bite victims who visit this hospital on any given day is characterized as the "Poisson distribution."
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If there are 176 chocolate marshmallows in the bag, how many marshmallows are vanilla?
The ratio Illustrated shows that the number of vanilla marshmallow is 121.
What is a ratio?A ratio shows how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. It should be noted tjat.A/B will be the formula if one is comparing one data point (A) to another data point (B).
Let the vanilla marshmallow be represented be x.
Since the ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11, the vanilla will be:
= 11 / (5 + 11) × 176
= 11/16 × 176
= 11 × 11
= 121
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Complete question
The ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11. There are 176 chocolate marshmallows in the bag, how many marshmallows are vanilla?
A train is moving along a
Straight track with a speed of 30ms^-1 when it reaches
point A.
the driver applies the brakes
and the train
decelerates at
a constant speed until it
comes to a stop
150m from point A.
a) what was the deceleration
of the train?
The deceleration of the train is -3 ms^-2.
Given:
A train is moving along a Straight track with a speed of 30 ms^-1 when it reaches point A. the driver applies the brakes and the train decelerates at a constant speed until it comes to a stop 150 m from point A
we know that:
v^2 - u^2 = 2as
where
v = 0
u = 30 ms^-1
s = 150 m
0^2 - 30^2 = 2a*150
0 - 900 = 300*a
-900 = 300*a
a = -900/300
a = -3 ms^-2
Negative acceleration is nothing but the deceleration so a = -3 ms^-2.
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Please Help Me!
Find the value of x
Answer: 65°
Step-by-step explanation:
You can determine the total degree within a shape by using the formula 180°(n-2), where n is the number of sides of the shape. Thus, the total degree within the parallelogram is 360°.
Angles sum up to the total degree, meaning we need to add up all the angles we see and set them equal to the total degree. We have two (2x-15) and two x's.
2(2x-15) + 2x = 360
Distribute the 2 to (2x-15), you will get 4x - 30.
4x - 30 + 2x = 360
Add like terms, 4x + 2x to get 6x.
6x - 30 = 360
Add both sides by 30 to isolate the 6x, because we are trying to determine the value of x, we need to isolate the term.
6x = 390
Divide both sides by 6, and you are left with the value of x being 65°
Sarah plays basketball. In her last game, she scored 24 points
from 2-pointers and 3-pointers. She made a total of 10 baskets.
How many 2-pointers and 3-pointers did she make? (Let x
represent the number of 2-pointers she made, and let y represent
the number of 3-pointers she made.)
Taking into account the definition of a system of linear equations, the number of 2-pointers and 3-pointers Sarah made is 2 and 3 respectively.
System of linear equationsA system of linear equations is a set of equations relating two or more unknown values, the goal of which is to determine those values so that the equations are true.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
This caseIn this case, a system of linear equations must be proposed taking into account that:
x represent the number of 2-pointers Sarah made.y representthe number of 3-pointers Sarah made.You know:
In her last game, Sarah scored 24 points from 2-pointers and 3-pointers.She made a total of 10 baskets.The system of equations to be solved is
x + y= 10
2x+3y= 24
It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "x" from the first equation:
x= 10 - y
Replacing this expression in the second equation:
2×(10-y)+3y= 24
Solving:
2×10 -2y +3y= 24
20 -2y +3y= 24
-2y +3y= 24 - 20
y= 4
Remembering that x= 10 -y, you get:
x= 10 -4
x= 6
Finally, the number of 2-pointers Sarah made is 2 and the number of 3-pointers she made is 3.
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Find value of x. Show steps.
A city doubles its size every 52 years. If the population is currently 637,100, what will the
population be in 208 years?
people
The population in 208 years based on the information is 10193600.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
Since the city doubles its size every 52 years. The number of times that it'll double in 208 years will be:
= 208 / 52
= 4 times
The population in 208 years will be:
= 637100 × 2⁴
= 637100 × 16
= 10193600
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Need help
Solve 4(x-5) = 18
Answer:
x = 19/2 or 9.5
Step-by-step explanation:
a) Distribute.
(4)(x) + (4)(−5) = 18
4x + −20 = 18
4x − 20 = 18
b) Add 20 to both sides.
4x − 20 + 20 = 18 + 20
4x = 38
c) Divide both sides by 4.
4x/4 = 38/4
x = 19/2 or 9.5
Answer:
9.5 or 19/2
Step-by-step explanation:
4 ( x - 5 ) = 18
Step 1 : Divide 4 on both sides.
x - 5 = 18/4
x - 5 = 4.5
Step 2 : Add 5 on both sides.
x = 4.5 + 5
x = 9.5
Value of x in fraction = 95/10 = 19/2
Value of x in decimal = 9.5
Jace's company has 17 employees who work full time. The company has a number of very dedicated
clients, and last year they generated $2 million in revenue. What type of software should Jace use?
The type of software should Jace use will be "Entry level accounting system" as his company has 17 employees who work full time. The company has a number of very dedicated clients, and last year they generated $2 million in revenue.
What is entry level accounting system?Entry-level accounting includes typical accounting operations such as accounts payables and receivables, as well as basic financial reporting. These are, predictably, among the most affordable items; some sellers even provide an entry-level bundle for free for a brief time as a trial period. Entry-level accounting jobs are the initial level of accounting positions for people who are just starting out in their careers. Accounting Representative, Accounting Executive, Accounting Assistant, Accounting Associate, Entry-Level Accounting Clerk, Staff Accountant, and Bookkeeper are examples of entry-level occupations.
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Adam's Bikes rents bikes for $19 plus $8 per hour. Nicole paid
$67 to rent a bike. For how many hours did she rent the bike?
Answer:
6 hours.
Step-by-step explanation:
Subtract initial fee from total. (67 - 19 = 48).
Divide by the hourly rate. (48 / 8 = 6).
The bike was rented for 6 hours.
PLEASE HELP I WILL GIVE BRAINLY!!!Question 2(Multiple Choice Worth 2 points)
(Factoring Algebraic Expressions LC)
Rewrite 30 - 6x³ using a common factor.
O2(15-3x³)
O 2x(15-3x²)
O6(5-6x³)
O6x(5-x²)
Answer:
(15-3x³) is the answer.
Step-by-step explanation:
2*15-2*3x³
which is 30-6x³.
9 + x/10 = 10
Solve for x
Answer:i had forgot
Step-by-step explanation:
Answer:4
Step-by-step explanation:
u add den subtract den divide then there
Solve for the roots in simplest form using the quadratic formula:
2x²-28x= -116
2x^3 + 2
________
x + 3
In long division of polynomials
Answer:
2x^2
__________
x+3 | 3
2x + 2
3
- 2 x - 3
_________
R = - 1
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.
The value of sec θ is ____
, and the value of cot θ is _____
.
The value of sec θ is -5/3 ,and the value of cot θ is 3/4 in the unit circle.
Given:
The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.
here x = -3/5 and y = -4/5
radius r = [tex]\sqrt{(-3/5)^{2}+(-4/5)^{2} }[/tex]
= [tex]\sqrt{9/25 + 16/25}[/tex]
r = 1.(which is hypotenuse in unit circle).
sec θ = hypotenuse / adjacent
= 1/-3/5
sec θ = -5/3
cot θ = adjacent / opposite
= -3/5 / -4/5
= 3*5/5*4
= 15/20
cot θ= 3/4
Therefore the value of sec θ is -5/3 ,and the value of cot θ is 3/4.
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$.
(b) (i) Annie invests $330 at a rate of 1.5% per year compound interest.
Calculate the amount that Annie has after 8 years.
Give your answer correct to the nearest dollar.
Answer: $372
Step-by-step explanation:
330 + (1.5% of 330) = 334.95
334.95 + (1.5% of 334.95) = 339.97425
339.97425 + (1.5% of 339.97425) = 345.073864
345.073864 + (1.5% of 345.073864) = 350.249972
350.249972 + (1.5% of 350.249972) = 355.503772
355.503772 + (1.5% of 355.503772) = 360.836392
360.836392 + (1.5% of 360.836392) = 366.248398
366.248398 + (1.5% of 366.248398) = 371.742124
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an inverted cone has a height of 11 inches and an initial radius of 18 inches. the volume of the inverted cone is decreasing at a rate of 541 cubic inches per second, with the height being held constant. what is the rate of change of the radius, in inches per second, when the radius is 5 inches?
Answer:
-4.697 in/s
Step-by-step explanation:
You want to know the rate of change of radius of a cone 11 inches high with a radius of 5 inches and a volume that is decreasing at the rate of 541 cubic inches per second.
VolumeThe volume of a cone is given by ...
V = π/3r²h
The rate of change is found by implicit differentiation:
V' = (π/3)((2rr')h +r²h')
Here, the height is constant, so h' = 0. Solving for r', we find ...
r' = 3V'/(2πrh)
ApplicationUsing the given values of V', r, and h, we find the rate of change of radius to be ...
r' = 3(-541 in³/s)/(2π(5 in)(11 in)) = -1623/(110π) in/s ≈ -4.69652 in/s
The radius is decreasing at about -4.697 inches per second.
__
Additional comment
The initial radius of the cone is irrelevant to the problem, since we want to know the rate of change at a specific different radius. Whether the cone is inverted or not is also irrelevant to its volume.
Use slope-intercept form to write the equation of a line that has a slope of −3 and passes through the point (1, −5).
Use the drop-down menus to select the proper value for each variable that is substituted into the slope-intercept equation.
y =
✔ –5
x =
m =
The equation of line passes through the point (1, -5) will be;
⇒ y = - 3x - 14
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (1, -5).
And, The slope of the line is,
⇒ m = - 3
Now,
Since, The equation of line passes through the point (1, -5).
And, Slope of the line is,
⇒ m = - 3
Thus, The equation of line with slope - 3 is,
⇒ y - 1 = - 3 (x - (-5))
⇒ y - 1 = - 3 (x + 5)
⇒ y - 1 = - 3x - 15
⇒ y = - 3x + 1 - 15
⇒ y = - 3x - 14
Therefore, The equation of line passes through the point (1, - 5) will be;
⇒ y = - 3x - 14
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Which of the ordered pairs below is a solution to the system of inequalities?
The ordered pair which is a solution to the system of inequalities is: (-1, 0).
How to determine the solution?In order to determine which ordered pairs are true solutions based on the given system of inequalities, we would have to test each of the ordered pairs by substituting their values into the system of inequalities as follows;
For ordered pair (4, 3), we have:
-7x + 3y > -1
-7(4) + 3(3) > -1
-28 + 9 > -1
-19 > -1 (False).
For ordered pair (2, 8), we have:
-7x + 3y > -1
-7(2) + 3(8) > -1
-14 + 24 > -1
10 > -1 (True).
5x - 9y > -6
5(2) - 9(8) > -6
10 - 72 > -6
-62 > -6 (False).
For ordered pair (-1, 0), we have:
-7x + 3y > -1
-7(-1) + 3(0) > -1
7 + 0 > -1
7 > -1 (True).
5x - 9y > -6
5(-1) - 9(0) > -6
-5 - 0 > -6
-5 > -6 (True).
For ordered pair (-2, 2), we have:
-7x + 3y > -1
-7(-2) + 3(2) > -1
14 + 6 > -1
20 > -1 (True).
5x - 9y > -6
5(-2) - 9(2) > -6
-10 - 18 > -6
-28 > -6 (False).
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