The forces have a magnitude of 59 pounds, and their direction angles are zero.
What is the magnitude of force?The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.Magnitude is a term that refers to size or importance. The depth of the Grand Canyon serves as an illustration of magnitude. The scope of the hunger crisis in the world serves as an illustration of magnitude. A measurement of the energy released by an earthquake, as shown on the Richter scale (geology).Two forces of 17 and 42 pounds act horizontally on an object.
i.e
F1 = 17 pounds
F2 = 42 pounds
As the magnitude of the force represents the sum of all the forces
The direction is the same
Magnitude : 17 + 42 = 59 pounds
The Direction angles : 0
As they have the same direction so angle will be 0.
The forces have a magnitude of 59 pounds, and their direction angles are zero.
To learn more about the Magnitude of forces and Direction angles of forces, refer to:
brainly.com/question/14584426
#SPJ4
Answer:59 and 0
Step-by-step explanation:
EDGE
On the day after my birthday this year, I can truthfully say: "The day after tomorrow is Monday". On which day is my birthday?
Answer: Friday
Step-by-step explanation:
There are different types of correlation one can use based on the types of variables being examined. When conducting an analysis, when do you need to use spearman’s rho instead of pearson’s r ?.
Answer:
When the data are nominal or ordinal.
Step-by-step explanation:
Spearman's correlation
Spearman's correlation measures the strength and direction of monotonic association between two variables.
Monotonicity is "less restrictive" than that of a linear relationship.
For example, the middle image above shows a relationship that is monotonic, but not linear.
Learn more about spearman's correlation here : https://brainly.ph/question/7033462
The data exists nominal or ordinal. Spearman's correlation estimates the strength and direction of the monotonic relationship between two variables.
What are the four types of correlation?a) Pearson correlation
b) Kendall rank correlation
c) Spearman correlation
d) Point-Biserial correlation.
The data exists nominal or ordinal. Spearman's correlation estimates the strength and direction of the monotonic relationship between two variables.
Monotonicity exists as "less restrictive" than that of a linear relationship.
To learn more about correlation refer to: https://brainly.com/question/14464267
#SPJ4
4. Emily’s house has a chimney. What is the volume of her chimney? 4 in 12 in 9 in 3 in 4 in 6 in. please hurry ill give brainliest quickly
the total volume of the chimney is:
V =456 in^3
What is the volume of her chimney?
Remember that the volume of a rectangular prism of dimensions L, W, and H is:
V = L*W*H
If you look at the image of the chimney (bottom right image) you can see that the figure can be viewed as 2 rectangular prisms, one smaller of dimensions:
4in x 12in x 9 in
Then the volume of the larger part is:
V = (4in)*(12in)*(9in) = 432 in^3
The smaller prism has dimensions:
of (6in - 4in) = 2in x 3in x 4in
Then the volume is:
V = (2in)*(3in)*(4in) = 24 in^3
Then the total volume of the chimney is:
V = 432 in^3 + 24 in^3 = 456 in^3
If you want to learn more about volumes:
https://brainly.com/question/1972490
#SPJ1
Factor the polynomial expression 3x² + 2.
A. (√3x + √2i)(√3x - √/2i)
B. (3x + √2i)(3x - √2i)
C. (√3x + √2)(√3x - √2)
D. (√3x + i)(√√3x - i)
Answer:
[tex]\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}[/tex]
Step-by-step explanation:
Setting the expression equal to zero to find the roots,
[tex]3x^2 +2=0\\\\3x^2 =-2\\\\x^2 =-\frac{2}{3}\\\\x=\pm i\sqrt{\frac{2}{3}}[/tex]
This means that
[tex]3x^2 +2=\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}[/tex]
Which point is the circumcenter of the triangle?
A) E
B) G
C) F
D) D
Answer: Point D
Reason:
The circumcenter is found by intersecting the perpendicular bisectors of each segment of the triangle.
As you can see, the circumcenter is the center of the circumcircle. This special circle is the smallest possible that wraps the triangle so to speak. The vertices of the triangle are on the circle. The distances AD, BD and CD are all the same.
You buy four boxes of fish sticks on sale at $1.99 per
box. The fish sticks regularly sell for $2.49 per box. Lemons are also
on sale at two for $1.00. How much money did you save by buying
the fish sticks on sale
Ileana received a statement on her certificate of deposit showing that her investment had returned $5,084 over its life. if the certificate of deposit pays a simple interest rate of 4.1% and her initial investment was $15,500, how long had the money been invested? please help me! i'm dying!
Ileana have to invest for 8 years :
What is Simple interest?Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.
How do you calculate simple interest?The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.
Given Data:Principal amount = $15,500
interest = $5,084
Time = ?
Rate = 4.1% simple interest
Solution:to find the simple interest :
I = [tex]\frac{(p*t*r)}{100}[/tex]
Then:
Time = [tex]\frac{I*100}{P*R}[/tex]
= [tex]\frac{(5084*100)}{(15500*4.1)}[/tex]
= [tex]\frac{508400}{63,550}[/tex]
= 8 years
Ileana have to invest for 8 years
To know more about simple intertest visit:
https://brainly.com/question/24217271
#SPJ4
A savings account earns 15% interest annually. What is the balance after 8 years in the savings account when the initial deposit is 7500?
The balance after 8 years is $22,942.67
What is the balance after 8 years?
We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:
B = $7500*(1 + 15%/100%)^t
B = $7500*(1.15)^t
The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:
B = $7500*(1.15)^8 = $22,942.67
So the correct option is the last one.
If you want to learn more about exponentials:
https://brainly.com/question/2456547
#SPJ1
identify this problem plssss
Answer:
The answer is cot(x)
Step-by-step explanation:
Greetings ![tex] \tan(x) \csc {}^{2} (x) - \tan(x) [/tex]
Rewrite using trig identity
[tex] - \tan(x) + \csc {}^{2} (x) \tan(x) [/tex]
use the Pythagorean idea
[tex] \csc {}^{2} (x) = 1 + \cot {}^{2} (x) [/tex]
[tex] - \tan(x) + (1 + \cot {}^{2} (x)) \tan(x) [/tex]
simplify
[tex] \cot {}^{2} (x) \tan(x) [/tex]
use basic trigonometric identity
[tex] \tan(x ) = \frac{1}{ \cot(x) } [/tex]
simplify
[tex] \cot {}^{2} (x) \frac{1}{ \cot(x) } [/tex]
gives you
[tex] \cot(x) [/tex]
Hope it helps!
Find the next two terms in the sequence. Can you please also tell me how you got the answer?
2, 9, 28, 65
[tex]\begin{array}{cccccccccccc} &&&&&&&&&\downarrow &&\downarrow \\ value&\stackrel{1^3+1}{2}&&\stackrel{2^3+1}{9}&&\stackrel{3^3+1}{28}&&\stackrel{4^3 + 1}{65}&&\stackrel{5^3 + 1}{126}&&\stackrel{6^3 + 1}{217} \\\cline{1-12} term&1&&2&&3&&4&&5&&6 \end{array}[/tex]
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
[tex]direct \: variation \: lines \: pass \: through \: the \: origin[/tex]
Last OptionQuick algebra 1 assignment for some points and brainliest!
(EASIER THAN IT LOOKS)
Only help if you know the answer PLEASE HELP EXPERTS AND GENIUSES ITS DUE TOMMAROW
(ANSWER ALL 4 PARTS OF THE ASSIGNMENT PLEASE :p )
1. The 100 prisoner experiment: 100 prisoners are about to be executed (you can use paper stick figures to model 100 prisoners, or you can do about 10), but the warden has agreed to allow all prisoners to be commuted to a 6-month sentence if they can pass one game. The game states that 100 pieces of paper with each of the prisoner's numbers are to be randomly shuffled into boxes that have random prisoner's numbers (where the number on the paper does not match the number on the boxes.) Each prisoner is allowed to open 50 boxes to find their number such that they have a [tex]\frac{1}{2}[/tex] chance of finding their number. If you find your number, you are cleared to another room to wait. If you don't, then you've messed up huge. If even one prisoner does not find their number, all the prisoners die. If all of the prisoners find their numbers, they all get 6-month sentences instead. The chance of all the prisoners randomly finding their numbers is [tex](\frac{1}{2})^{100}[/tex], which is about a 0.0000000000000000000000000000008% chance. 30 zeros after the decimal placement. For reference, two people have a better chance of picking up the same grain of sand from any of the beaches in the world than finding their numbers randomly.
The Vickrey Auction can be modeled into an experiment by testing people's psychological thinking. You can do this with any of your friends. In a Vickrey auction, you put your bids into a closed letter. For an item, the highest bidder wins the auction, but does not pay what he or she put their bid under in the auction, but rather pays what the second bidder had bidded. It teaches people to be more honest, because if you bid the highest and win, you pay the second-highest bidder's payment, which could also be almost equally as high and could cost you a fortune for an undervalued item.
Another great experiment you can do is to measure the different unsynchronizations of analog clocks that are not close together. Scientists have measured atomic clocks that are just a millimeter apart that start ticking in different measures.
2. I select the 100-prisoner experiment.
3. A curved graph like -x^2 would fit perfectly.
4. A quadratic function would fit my experiment the best. The best graph to use would be [tex]y = -x^2[/tex]. An equation with a large curve would be the best for this type of experiment to graph success and failure. More than three quarters of my graph wouls be full of failure and maybe a little more than 10% would be full of success if repeated over 100,000 times. I am not too sure though.
An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?
The polygon is
Answer:
a polygon with an interior angle of 108 is a pentagon
Step 3 of 6 : find the estimated value of y when x=30. round your answer to three decimal places
The estimated value of y when x=30. The answer rounded to three decimal places is 5.
Envisioned cost method, as of any date of willpower, with respect to any paintings of art, the most latest estimate of fee of such paintings of artwork, as determined every so often through the relevant Borrower in accordance with phase 5.12.
To discover the estimated value E(X), or imply μ of a discrete random variable X, in reality,y multiply every value of the random variable by way of its chance and upload the products. The method is given as E ( X ) = μ = ∑ x P ( x ) .
In opportunity theory, the estimated value is a generalization of the weighted common. Informally, the anticipated price is the mathematics suggestion of a big variety of independently decided effects of a random variable.
estimated Y when
b₁x + b
X = 30.
=( 0·302) (30) + (-3-772)
5.288
= 5
Learn more about the estimated value here https://brainly.com/question/24239771
#SPJ4
A man has eight shirts, four pairs of pants, and five pairs of shoes. How many different outfits are possible
Answer:
160
Step-by-step explanation:
I multiplied the amount of each item to get to the answer:
- 8 shirts
- 4 pairs of pants
- 5 pairs of shoes
8 x 4 x 5 = 32 x 5
32 x 5 = 160
hope this helps!
UV has endpoint U(21.6, -8.2) and midpoint M(15.8, -17). What are the coordinates of the other endpoint, V?
(7, -22.8)
(10, -25.8)
(18.7, -12.6)
(27.4, 0.6)
Using the midpoint formula, the coordinates of the other endpoint, V is: B. (10, -25.8).
What is the Midpoint Formula?To find the coordinates of the midpoint of a segment, the midpoint formula is used, which is expressed as: M(x2 + x1/2, y2 + y1/2).
Given one endpoint of UV as, U(21.6, -8.2), and a midpoint of M(15.8, -17), let:
U(21.6, -8.2) = (x1, y1)
V(x, y) = (x2, y2)
Plug in the values into M(x2 + x1/2, y2 + y1/2):
M(15.8, -17) = (x2 + 21.6/2, y2 + (-8.2)/2)
Solve for x2
15.8 = (x2 + 21.6)/2
Multiply both sides by 2
2(15.8)= (x2 + 21.6)/2 × 2
31.6 = x2 + 21.6
Subtract both sides by 21.6
31.6 - 21.6 = x2 + 21.6 - 21.6
10 = x2
x2 = 10
Solve for y2:
-17 = (y2 + (-8.2))/2
Multiply both sides by 2
2(-17) = (y2 + (-8.2))/2 × 2
-34 = y2 + (-8.2)
-34 = y2 - 8.2
Add 8.2 to both sides
-34 + 8.2 = y2 - 8.2 + 8.2
-25.8 = y2
y2 = -25.8
The coordinates of the other endpoint, V is: B. (10, -25.8).
Learn more about the midpoint formula on:
https://brainly.com/question/13115533
#SPJ1
Answer: B
Step-by-step explanation: edge2023
Consider the sets below. u = {x | x is a real number} a = {x | x is an odd integer} r = {x | x = 3, 7, 11, 27} is r ⊂ a?
The correct option is (B) yes because all the elements of set R are in set A.
What is an element?In mathematics, an element (or member) of a set is any of the distinct things that belong to that set.Given sets:
U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}So,
A = 1, 3, 5, 7, 9, 11... are the elements of set A.R ⊂ A can be understood as R being a subset of A, i.e. all of R's elements can be found in A.Because all of the elements of R are odd integers and can be found in A, R ⊂ A is TRUE.Therefore, the correct option is (B) yes because all the elements of set R are in set A.
Know more about sets here:
https://brainly.com/question/2166579
#SPJ4
The complete question is given below:
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A?
(A) yes, because all the elements of set A are in set R
(B) yes, because all the elements of set R are in set A
(C) no because each element in set A is not represented in set R
(D) no, because each element in set R is not represented in set A
Cube a and cube b are similar solids. the volume of cube a is 27 cubic inches, and the volume of cube b is 125 cubic inches. how many times larger is the base area of cube b than the base area of cube a?
The base area of cube B is 25/9 times larger than the base area of cube A.
What is area cubic?
Surface area of cube is the sum of areas of all the faces of cube, that covers it. The formula for surface area is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube. It is basically the total surface area.We know that volume of cube with each side of units is equal to .
First of all, we will find the each side of cube A and B as:
[tex]A^{3} = 27[/tex]
[tex]\sqrt[3]{A^{3} } = \sqrt[3]{27}[/tex]
A = 3
[tex]B^{3} = 125[/tex]
[tex]\sqrt[3]{B^{3} } = \sqrt[3]{125}[/tex]
B = 5
Now, we will find base area of both cubes as:
[tex]\frac{Base area of B}{Base area of A} = \frac{B^{2} }{A^{2} }[/tex]
[tex]\frac{Base area of B}{Base area of A} = \frac{5^{2} }{3^{2} }[/tex]
[tex]\frac{Base area of B}{Base area of A} = \frac{25}{9}[/tex]
Therefore, the base area of cube B is 25/9 times larger than the base area of cube A.
Learn more about cube
brainly.com/question/23728751
#SPJ4
A gardener wants to design a rectangular garden and has 100 feet of fencing available. A house is on one side of the garden, so no fencing will be needed there. What dimensions will give the maximum area?
Answer:
50 ft and 25 ft give the maximum area
Step-by-step explanation:
Let l and w be the dimensions of rectangle.
The length of fencing is 100 ft:
l + 2w = 100Then:
l = 100 - 2wThe area is:
A = lw = w(100 - 2w) = 100w - 2w²In order to have the maximum area we need to find the vertex of the quadratic function:
y = - 2w² + 100wThe vertex has x-coordinate:
w = - b/(2a) It comes from quadratic function y = ax² + bx + cor
w = - 100/(2*(-2)) = 25So the width is 25 ft.
Find the length:
l = 100 - 2*25 = 50 ftThe area is:
A = 50*25 = 1250 ft²See the attached graph.
The mean of continuous data having term 100 is 20.find the sum of terms
Answer:
2000
Step-by-step explanation:
let the sum of the two terms be,x
Then,
x/100=20
where
100=no. of terms
20=mean
Then,
x/100=20
x=20×100
x=2000
So,
Sum of terms=2000
___________ statistics summarize numbers and _____________ statistics determine whether the results are significant.
Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.
What is statistics?
The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
Statistics is the study and manipulation of data, including methods for data collection, evaluation, analysis, and interpretation.Descriptive statistics and inferential statistics are the two main subfields of statistics.Different levels of statistics communication are possible, from non-numerical descriptor (nominal-level) to numerical with reference to a zero-point (ratio-level).To gather statistical data, a variety of sampling methods can be utilized, including basic random, systematic, stratified, or cluster sampling.To know more about the statistics
https://brainly.com/question/15525560
#SPJ4
is it true or false! I need help fast thanks!
The answer is True.
On differentiating using product rule,
[tex]\mathsf {\frac{d}{dx}[xe^{x}] = x(e^{x})+e^{x}(1)}[/tex]
[tex]\mathsf {\frac{d}{dx}[xe^{x}] = e^{x}(x + 1)}[/tex]
The general form of product rule :
[tex]\boxed {\frac{d}{dx}(ab) = a(b')+b(a')}[/tex]
A number exceeds its four-sevenths by 18. Find the number.
Answer:
42
Step-by-step explanation:
let the number be x
4/7 of x
(4/7) × x
4x/7
As stated in the question:
x=4x/7+18
=x-4x/7=18
=(7x-4x)/7=18
=3x/7=18
3x= 18×17
3x= 126
x=126/3
x=42
Ana is 555 years younger than her sister, Beatriz. 1. Write an equation that represents how old Ana is (a) when Beatriz is b years old. 2. How old is ana when Beatriz is 23 yrs old?
The equation to represent the given scenario is a=b-5 and the age of Ana is 18 years when her sister Beatriz is 23 year old.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Ana is 5 years younger than her sister, Beatriz
1) Let the age of Ana be a and the age of Beatriz be b
Now, a=b-5
2) Beatriz is 23 years old
Substitute b=23 in the equation a=b-5, we get
a=18 years
Therefore, the age of Ana is 18 years when her sister Beatriz is 23 year old.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
Ana is 5 years younger than her sister, Beatriz.
1. Write an equation that represents how old Ana is (a) when Beatriz is b years old.
2. How old is Ana when Beatriz is 23 years old?
Find the length of the function over the given interval. y = 3x from x = 0 to x = 2
The length of the function y = 3x over the given interval [0, 2] is 3.2 units
For given question,
We have been given a function y = 3x
We need to find the length of the function on the interval x = 0 to x = 2.
Let f(x) = 3x where f(x) = y
We have f'(x) = 3, so [f'(x)]² = 9.
Then the arc length is given by,
[tex]\int\limits^a_b {\sqrt{1+[f'(x)]^2} } \, dx\\\\= \int\limits^2_0 {\sqrt{1+9} }\, dx\\\\=\sqrt{10}\\\\ =3.2[/tex]
This means, the arc length is 3.2 units.
Therefore, the length of the function y = 3x over the given interval [0, 2] is 3.2 units
Learn more about the arc length here:
https://brainly.com/question/10729208
#SPJ4
3
OYes
O No
Is the following relation a function? (1 point)
x y
1 4
-1 -2
3 10
5 16
Answer: Yes
Step-by-step explanation:
Each value of y maps onto one value of x.
The coordinates of the vertices of ΔDEF are D(2, 3), E(l, 1), and F(4, O).Find the coordinates for the image of ΔDEF after the translation (x, y) —i (x — 3, y — 2).Draw the preimage and image.
The translation 3 units to the right and 2 units down the plane will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
Translation is a transformation technique used to change the position of an object on an y-plane.
For instance translating a coordinate (x, y) into (x-3,y -2) means a shift of the image 3 units to the right and 2 units down the plane. In order to get the corresponding coordinates, we will subtract 3 from the x-coordinates and 2 from the y-coordinates.
Given the coordinate of the triangle DEF as shown;
ΔDEF
D(2, 3),
E(l, 1), and;
F(4, O)
The translation 3 units to the right and 2 units down the plane will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
Learn more on translation here: https://brainly.com/question/12861087
#SPJ1
Can someone please help me with this?
Answer:
-2
Step-by-step explanation:
See attachment
There are 25 prime numbers less than 100.
Some of these are two-digit prime numbers.
What fraction of two-digit prime numbers contain the digit 9?
Express this fraction in lowest terms.
Answer:
6/25.
Step-by-step explanation:
They are 19, 29, 59, 79, 89 and 97.
A total of 6.
So the required fraction is 6/25.
A certain disease has an incidence rate of 0.1%. If the false negative rate is 4% and the false positive rate is
2%, compute the probability that a person who tests positive actually has the disease.
Give your answer accurate to at least 3 decimal places
Answer:
probability of the personal information on the direction of the personal information to my house