Answer:
Si Antoni comió 7/9 del pan francés y Miguel Eduardo comió 5/9, entonces la cantidad total de pan que comieron juntos es 7/9 + 5/9 = 12/9.
Esto significa que los tres amigos comieron 12/9 del pan, lo cual es equivalente a 4/3 del pan francés.
Para encontrar la cantidad de pan que quedó para Fabian, podemos restar 4/3 del pan francés de la cantidad total del pan francés, que es 1. Entonces:
1 - 4/3 = 3/3 - 4/3 = (3 - 4)/3 = -1/3
Esto significa que Antoni y Miguel Eduardo comieron más del pan francés de lo que había disponible, lo que no es posible. Por lo tanto, no hay una cantidad del pan francés que quedó para Fabian.
To know more about cantidad refer here
https://brainly.com/question/31331248#
#SPJ11
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 411.0 gram setting. it is believed that the machine is underfilling the bags. a 35 bag sample had a mean of 406.0 grams. a level of significance of 0.05 will be used. state the hypotheses. assume the standard deviation is known to be 25.0.
Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.
To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.
Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)
To learn more about standard deviation, refer here:
https://brainly.com/question/23907081#
#SPJ11
Can someone please help me ASAP?? It’s due tomorrow!! I will give brainliest If It’s correct.
Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:
A. Perpendicular to the base: Rectangle
B. Parallel to the base: Triangle with dimensions equal to the base
C. Diagonal from vertex to vertex: Triangle with unknown dimensions
What is the probability of flipping a coin 2 times and getting 2 heads?
Answer:
you are correct 1/2 is the correct answer
Question:What is the probability of flipping a coin 2 times and getting 2 heads?
Answer: 1/2
WILL GIVE BRAINLIEST
bxvy - xvyb
if b=-2
x= 1
y= -1
v= 3
simplify and substitute
Answer:
Step-by-step explanation:
(-2)(1)(3)(-1) - (1)(3)(-1)(-2)
6 - 6 = 0
Answer:
0
Step-by-step explanation:
(-2)(1)(3)(-1) - (1)(3)(-1)(-2)
6 - 6 = 0
Marcus rode his bike 60 miles in 4 hours. Marcus thinks that in order to find the unit rate, he should determine how far he rode his bike in 2 hour(s). Is Marcus correct?
Answer:
No, he is not correct
Step-by-step explanation:
To find the unit rate you need to .60 by 4. you will get 2.4, which is the
unit rate. he rides his bike 2.4 mph.
Write the following expression in radical form:
Answer:
its A!
Step-by-step explanation:
Vectors a and b, with |a| = 13 and [b] = 7, a is horizontal and b is 60° above a. a) a + b b) The direction of a + b relative to a c) a b
(a)a + b = (13, 0) + (7√3/2, 7/2) = (13 + 7√3/2, 7/2) = (13 + 3.5√3, 3.5)
(b)the direction of a + b relative to a is 60°.
(c)Therefore, a · b = 91√3/2.
(a) To find the vector sum a + b, we need to determine the components of vectors a and b. Since vector a is horizontal, its components are a = (13, 0) (assuming a is directed along the positive x-axis). Vector b is 60° above vector a, which means it forms a 30° angle with the positive x-axis. The magnitude of vector b is given as |b| = 7.
Using trigonometric relations, we can determine the components of vector b:
b_x = |b| * cos(30°) = 7 * cos(30°) = 7 * (√3/2) = 7√3/2
b_y = |b| * sin(30°) = 7 * sin(30°) = 7 * (1/2) = 7/2
Now we can calculate the vector sum:
a + b = (13, 0) + (7√3/2, 7/2) = (13 + 7√3/2, 7/2) = (13 + 3.5√3, 3.5)
(b) The direction of the vector sum a + b relative to vector a can be determined by finding the angle it forms with the positive x-axis. Since vector a is horizontal, its angle with the x-axis is 0°. Vector b is 60° above vector a, so the angle it forms with the x-axis is 60°.
Therefore, the direction of a + b relative to a is 60°.
(c) To find the dot product of vectors a and b (a · b), we need to know their components. The components of vector a are (13, 0), and the components of vector b are (b_x, b_y) = (7√3/2, 7/2).
The dot product can be calculated as follows:
a · b = (13, 0) · (7√3/2, 7/2) = 13 * (7√3/2) + 0 * (7/2) = 91√3/2
Therefore, a · b = 91√3/2.
To learn more about dot product visit:
brainly.com/question/23477017
#SPJ11
Boris went for a drive in his new car. He drove at a speed of 62 miles per hour for 396.8 miles. For how many hours did he drive?
Answer:
he is drive 6.4 hours ......
What is the the translation rule
The midpoint of AB is M (5,5). If the coordinates of A are (7, 8), what are the
coordinates of B?
Answer:
(3,2) just use a slope triangle (over 2 up 3) and do it in reverse
find a formula for det(ra) when a is an n×n matrix.Choose the correct answer below. A. det(rA) = r^n . det A B. det(rA) = det A C. det(rA) = r . det A D. det(rA) = det r . A
The correct answer is A. det(rA) = r^n . det A.
The formula for calculating the determinant of a matrix, when it is multiplied by a scalar constant, is det(rA) = r^n . det A. This means that when a scalar constant, r, is multiplied to an n × n matrix, A, the determinant of the result is equal to r^n multiplied by the determinant of A.
This formula is based on the fact that multiplying a matrix by a scalar constant changes the value of each element in the matrix by a factor of the scalar constant. As such, the determinant of the resulting matrix is the same scalar constant multiplied by the determinant of the original matrix.
Know more about scalar constant here
https://brainly.com/question/11512852#
#SPJ11
Write the steps in detail
On how to solve an angle bisector
problem, please use completé sentences.
A triangle's opposite side is split in half by an angle bisector into two segments that are proportional to the other two sides.
We can solve this problem by using the formula explained in the angle bisector theorem below.
Angle Bisector theorem :
In the below image, PS is the angle bisector of ∠P in ΔPQR.
As a result, we can state that by using the angle bisector theorem as
PQ/PR = QS/SR
or
a/b = x/y.
By this, we can solve the angle bisector theorem.
To learn more about angular bisector refer below
https://brainly.com/question/21475560
#SPJ9
14) Solve for x:
4 + 2(x + 3x) = 4 - x(2 - 3) + 2x
A) 0
B) 1
2
D) 3
answer;
x=0
Step-by-step explanation:
4 + 2 (x + 3x) = 4 - x(2-3) + 2x
let remove d brackets
4 + 2x + 6x = 4 - 2x + 3x + 2x
llet collect like terms
2x + 6x - 3x -2x + 2x = 4-4
5x = 0
x = 0
John borrow dollar 9000 from a bank calculate the amount of interest he will pay in one year at it interest rate.
12% per annum compounded monthly
John will pay $1194.54 in interest over one year at a 12% per annum interest rate compounded monthly.
Calculate interest rate?To calculate the amount of interest John will pay in one year at a 12% per annum interest rate compounded monthly
\(A = P(1 + \frac{r}{n} )^{(nt)}\)
Principle = $9000
rate = 0.12 (12% as a decimal)
number = 12 (monthly compounding)
time = 1 (one year)
John borrowed $9000 at an annual interest rate of 12%
Substitute the values in the formula,
\(A = 9000(1 + \frac{0.12}{12} )^{(12*1)}\\\\A = 9000(1.01)^{12}\)
A = $10,194.54
So the total amount that John will have to pay back after one year is $10,194.54.
Interest = $10,194.54 - $9000
Interest = $1194.54
Therefore, John will pay $1194.54 in interest over one year at a 12% per annum interest rate compounded monthly.
To know more about interest, visit:
https://brainly.com/question/2294792
#SPJ1
Rearrange these numbers in ascending order.
-9.31
-9.78
-9.57
-9.3
-9.53
-9.511
-9.9
Solve the following systems of equations using Gaussian Elimination. 2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Find the inner product of two vectors A = (2, -3,0) and B = = (-1,0,5)
The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).
Solving the given system of equations using Gaussian elimination:
2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Matrix form of the system is
[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13
Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1
Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4
Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5
Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5
Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6
The solution is (x,y,z) = (6,-5,5)
Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).
The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by
A·B = |A||B|cosθ
Given,A = (2, -3,0) and B = (-1,0,5)
Magnitude of A is |A| = √(2²+(-3)²+0²) = √13
Magnitude of B is |B| = √((-1)²+0²+5²) = √26
Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2
Cosine of the angle between A and B is
cosθ = A·B / (|A||B|)
cosθ = -2 / (√13×√26)
cosθ = -2 / √(13×26)
Learn more about equation at
https://brainly.com/question/12998758
#SPJ11
A mall cube ha the volume hown. It ide length i 3. 5 in. Le than a econd, larger cube. What i the volume of the larger cube?
Volume:85 in^3
The large cube has a length of 7 inches each side and it's volume is 343 cubic inches.
Given,
The length of the small cube, a = 3.5 inch
The length of large cube = 2a = 2 × 3.5 = 7 inches
Now,
We have to find the volume of large cube
Volume;-
The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Here,
Volume of cube = a³
Volume = 7³ = 343 cubic inches
That is,
The length of side of the large cube is 7 inches and the volume of large cube is 343 cubic inches.
Learn more about volume of cube here;
https://brainly.com/question/11168779
#SPJ4
Given question is incomplete. The completed question is;
A small cube has a length of 3.5 inch. The length of large cube is twice the small cube. Find the volume of the large cube.
100 points!!! PLEASE ANSWER IT HOW I HAVE IT IN ORDER!!
On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.
(a) If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning.
(b) Calculate the area of the red triangle to find the area of the garden. Show your work.
(C) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?
Part B: The second link is for this part!!!!
(d) The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.
(e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning.
Answer:
a^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
90^2 + 120^2 = c^2
8100 + 14400 = c^2
22500 = c^2.....take the sq rt of both sides...this gets rid of the ^2
sq rt 22500 = c
150 = c
so side a = 90 ft, side b = 120 ft, and side c = 150 ft
this is called the pythagorean theorem and it only works on right triangles
Step-by-step explanation:
done sorry if im wrong
Select the correct answer.
Which expression simplifies to 2V15?
O A. 17
19
V30
D. V60
HELP!! im doing the plato test rn
Answer:
D
Step-by-step explanation:
Prime factorize 60
\(\sqrt{60}=\sqrt{2*2*3*5}=2\sqrt{3*5}=2\sqrt{15}\)
Let f(x)=-3x and g(x) = 2x-1
Find the following: 4g(x) - f(x)
Answer:
11x-4
Step-by-step explanation:
f(x)=-3x
g(x) = 2x-1
4g(x) - f(x)
4(2x-1) - ( -3x)
Distribute
8x -4 +3x
Combine like terms
11x-4
Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).
Given,
f(x) = -3xg(x) = 2x - 1Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.
\(4g(x) - f(x)\)
\(4(2x - 1) - ( - 3x)\)
Opening the parentheses,
\(8x - 4 + 3x\)
Now combing the like terms, and adding them,
\(8x + 3x - 4\)
\( \boxed{11x - 4}\)
This is our final result.
#CarryOnLearning
━━━━━━━━━━━━━━━━━━━━
what is the exponent on 10 when you write 41200 in scientific notation
Answer:
41200 in scientific notation = 4,1 . 10⁴
Answer:
The exponent is 4
\(4.12\) × \(10^{4}\)
Step-by-step explanation:
Hope this helps
What is the y-intercept of a line that passes through the points (1,-7) and (5,-15)?
Answer: (0,-5) or just -5
Step-by-step explanation:
gradient = change in y/change in x = (-7+15)/(1-5) = -2
y = -2x + c
-7 = -2 x 1 + c
c = -7 + 2 = -5
y intercept is (0, -5)
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A. (true or false)
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.
The above statement is True.
Eigenvalue:
An eigenvalue is a special set of scalar values associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.
According to the Question:
If the geometric multiple of the eigenvalues is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.
Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is
Ax = λx.
Learn more about Eigenvalue:
https://brainly.com/question/29749542
#SPJ4
Two semicircles are drawn inside of a circle with radius 8 inches as shown below. Find the area of the shaded region. Round your answer to the nearest tenth (0.1).
Answer:
Step-by-step explanation:
two semicircles each of diameter 8 inches makes one circle with diameter=8 in.
radius r=8/2=4 in.
area of shaded region= πr^2=π×4²=16 π in²
≈16×3.14
≈50.24
≈50.2 in²
An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1850 feet apart. As the airplane
passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane,
as indicated in the figure. If A=25°, and B=25°, how high is the airplane?
Answer: We can use trigonometry to solve this problem. Let's call the height of the airplane H, and let's call the distance from observer X to the airplane D. Then the distance from observer Y to the airplane is L - D.
From the point of view of observer X, we can write:
tan(A) = H / D
tan(25°) = H / D
From the point of view of observer Y, we can write:
tan(B) = H / (L - D)
tan(25°) = H / (L - D)
We now have two equations with two unknowns (H and D). We can solve for one of the unknowns in terms of the other, and then substitute that expression into the other equation to eliminate one of the unknowns.
Let's solve the first equation for D:
D = H / tan(25°)
Substituting this expression for D into the second equation, we get:
tan(25°) = H / (L - H / tan(25°))
Multiplying both sides by (L - H / tan(25°)), we get:
tan(25°) (L - H / tan(25°)) = H
Expanding the left-hand side, we get:
tan(25°) L - H = H tan^2(25°)
Adding H to both sides, we get:
tan(25°) L = H (1 + tan^2(25°))
Dividing both sides by (1 + tan^2(25°)), we get:
H = (tan(25°) L) / (1 + tan^2(25°))
Now we can substitute this expression for H into the equation D = H / tan(25°) to get:
D = ((tan(25°) L) / (1 + tan^2(25°))) / tan(25°)
Simplifying, we get:
D = L / (1 + tan^2(25°))
Now that we know the distance D, we can use the equation tan(A) = H / D to find H:
tan(25°) = H / D
H = D tan(25°)
Substituting D = L / (1 + tan^2(25°)), we get:
H = (L / (1 + tan^2(25°))) tan(25°)
Plugging in the given values L = 1850 feet and A = B = 25°, we get:
H = (1850 / (1 + tan^2(25°))) tan(25°)
H ≈ 697.3 feet
Therefore, the airplane is about 697.3 feet high.
Step-by-step explanation:
HELP PLSSS THIS IS HARD SOMEONE
Answer:
(4,-1)
Step-by-step explanation:
Current B Co-ordinate: (3, -4)
When you increase the y-value of the B Co-ordinate by 3, you get it as -1.
When you increase the x-value of the B Co-ordinate by 1, you get it as 4.
Hence, the B Co-ordinate after translation is (4,-1)
Feel free to mark this as brainliest! :D
Need this problem fast!!!
Chase needs 20 ounces of bean for a chili recipe.
- 2/5 will be pinto beans
- 1/4 will be red beans
- the remaining amount will be kidney bean
a) what fraction of the beans are kidney beans?
b) how many ounces of pinto and red beans are needed?
c) How many ounces of kidney beans are needed
The 7 ounces of kidney beans are needed. The 8 and 5 ounces of pinto and red beans are needed respectively.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
We have been given that Chase needs 20 ounces of bean for a chili recipe.
2/5 will be pinto beans and 1/4 will be red beans
The remaining amount will be kidney bean.
The ounces of pinto and red beans are needed
2/5 x 20 = 8
1/4 x 20 = 5
The remaining amount = 20 - 8 - 5 = 7
The fraction of the beans are kidney beans is 7/20.
The 7 ounces of kidney beans are needed
The 8 and 5 ounces of pinto and red beans are needed respectively.
Learn more about fraction;
https://brainly.com/question/729654
#SPJ1
If you are good at 9th grade math tell me and send me your number so we can text I really need a tutor or just help please
Answer:
I'm super sorry that i can't help but if i could get you to my brother and ask him for his number i bet he'll be able to help. ;) and if u r a girl he's pretty desperate for a girlfriend so ..... yeah
Step-by-step explanation:
hope this helps and also hope my brother can help byyyyyeeeee
What is the answer of 11
Answer:
2
Step-by-step explanation:
(1/2)(6x-2) - 3(x-1)
take the (1/2) and distribute it to the 6x and the 2
(3x-1) - 3(x-1)
next, distribute the 3 to the x and the 1
(3x-1) - (3x-3)
then you simplify
3x-3x cancels
-1 - -3 is the same as -1 +3
so you get 2
THIS IS AN EMERGENCY PLEASE HELP MEE!!!!!! I NEED HELP!!!
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $50.00 in total. What percent of the bill did they leave as the tip?
Answer:
19 percent i believe
Step-by-step explanation: