Answer:
Step-by-step explanation:
Quadrilaterals are four sided shapes. A parallelogram is a quadrilateral with equal and parallel opposite sides. The sum of the interior angles of any quadrilateral is always 360 degrees
Considering the question being asked, the correct option is
1) The sum of the interior angles will still be 360°. This will always remain the same no matter what type of quadrilateral is formed.
For the other options, some will remain the same and this depends on the type of quadrilateral that is formed.
Answer:
Its 1 and 3
Step-by-step explanation:
If possible, compone the indicated linear combination: (a) C+E and E+C (b) A+B (e) D-F (d) -3C+5O
-3C+50
(a) C+E and E+C = 2C (b) A+B = A+B (e) D-F = D-F (d) -3C+50 = -3C+50
Learn more about linear combination
brainly.com/question/30888143
#SPJ11
If the speed and the charge of a particle moving across a magnetic field are each doubled, the deflecting force will be: Select one: a. doubled b. halved c. quartered d. quadrupled
If the speed and the charge of a particle moving across a magnetic field are each doubled, the deflecting force will be:
d. The deflecting force will be quadrupled.
The deflecting force experienced by a charged particle moving across a magnetic field is given by the equation F = qvBsinθ, where F is the deflecting force, q is the charge of the particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.
If both the speed (v) and charge (q) of the particle are doubled, the deflecting force (F) can be calculated by substituting the new values into the equation:
F' = (2q)(2v)Bsinθ = 4(qvBsinθ) = 4F
Learn more about deflecting force:
https://brainly.com/question/18706308
#SPJ11
a. if you were to select one block from the
bag 12 times, replacing the block you drew
between each selection, how many of those
times would you expect to have selected a
blue block? explain your reasoning.
If the bag contains a total of n blocks and m of them are blue, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws, assuming the selection process is random and the probabilities remain constant.
Let's assume that the bag contains a total of n blocks, and m of them are blue blocks. The probability of selecting a blue block on each draw, P(blue), would be m/n.
Since we are replacing the block after each selection, the total number of blocks in the bag remains the same throughout the process. Therefore, the probability of selecting a blue block on each draw remains constant at m/n.
To find the expected number of times we would select a blue block, we can multiply the probability of selecting a blue block on each draw (m/n) by the total number of draws (12):
Expected number of blue blocks = (m/n) * 12
The reasoning behind this is that in each individual draw, the probability of selecting a blue block is m/n. By performing 12 independent draws, we can expect to encounter this probability m/n a total of 12 times on average.
Therefore, if the bag contains n blocks with m blue blocks, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws.
Learn more about probability here:
https://brainly.com/question/3182891
#SPJ11
The area of a rhombus is 16 cm 2 . If the length of one diagonal is 4 cm, find the
length of the other diagonal.
Let, the length of the other diagonal be X
According to the Question:
We know that:
▶ Area of rhombus = ½ × d1 × d2
⇒ 16 = ½ × 4 × d2
⇒ d2 = 32/4
⇒ 8 cm
_________________________Hope it helps u!! ✿
A pair of walkie-talkies has a 35-meter range. Anand's apartment is 18 meters
east and 19 meters north of Isaac's apartment. Isaac's apartment is at sea
level, while Anand's apartment is 7 meters above sea level. Can they use the
walkie-talkies to talk to each other from their apartments?
, because the distance between their apartments is square root meters, or to the nearest tenth, meters.
Yes, they can use the walkie-talkies to talk to each other.
The distance between them is given as 28.2 meters.
How to solve for the distance?The horizontal and vertical distances should be considered when calculating the distance between their apartments using the three-dimensional form of the Pythagorean theorem.
This comes out as \(\sqrt((18^2 + 19^2 + 7^2))\), which equals \(\sqrt(798)\) square root meters, or, to the nearest tenth, 28.2 meters.
Since this distance is less than the 35-meter range of the walkie-talkies, communication should be possible between the two apartments.
Read more about distance here:
https://brainly.com/question/2854969
#SPJ1
What is the answer, pls help!
Answer:
the answer 44
Step-by-step explanation:
Answer:
B is 44 degrees
Step-by-step explanation:
A = 104
A is congruent to D
B is congruent to E
C is congruent to F
so D is also 104
since F is 32, then C is 32
32 + 104 = 136
180 - 136 = 44
So B and E is 44 degrees
Can Someone please help me with this Math homework? Please respond ASAP
Blueberries cost $4.00 per pound.
1. How many pounds of blueberries can you buy for $1.00?
Do not include units (pounds) in your answer.
Answer:
.25
Step-by-step explanation:
Help me with this and I'll mark you as Brain
Answer:
a) x^3y2
b) 6x^2y^3
Step-by-step explanation:
because 3 x's and 2 y's are being multiplied.
For this explanation, I will be utilizing the hidden exponent of 1.You can put a hidden exponent of 1 to each variable without an exponent, and the value will remain the same.
Merely add the exponents of the values with the same base number, or coefficient. —> like terms
X^1 times X^1 times X^1 is X^3, and Y^1 times Y^1 is Y^2.
Our final answer is X^3 Y^2.
B is 6X^2 Y^3.Like the first expression, we can add a hidden exponent to each VARIABLE, not number.
2 times 3 is 6, and X^1 times X^1 is X^2, and Y^1 times Y^1 times Y^1 is Y^3.
Our final answer is 6X^2 Y^3.
What is the difference between -4 and 6
\(answer = - 10 \\ solution \\ - 4 - 6 \\ = - 10 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)
Answer:
\( - 10\)
Step-by-step explanation:
We know that,
\(( - ) \times ( + ) = ( - )\)
\(( - ) + ( - ) = ( - )\)
Let's solve
\( - 4 - ( + 6) \\ - 4 - 6 \\ = - 10\)
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the expanded form of this number? (In fractions)
570.086
Answer:
570 86/1000
Step-by-step explanation:
decimal goes into thousandths place
570 is a whole number
simplified is 570 43/500
(5×100)+(7×10)+(8×.010)+(6×.001)
Find the flux of the field F(x,y,z)=z 3
i+xj−6zk outward through the surface cut from the parabolic cylinder z=1−y 2
by the planes x=0,x=2, and z=0. The flux is (Simplify your answer.)
The flux of the field \(\(\mathbf{F}(x, y, z) = z^3\mathbf{i} + x\mathbf{j} - 6z\mathbf{k}\)\) outward through the given surface is zero (0).
To find the flux of the vector field\(\(\mathbf{F}(x, y, z) = z^3\mathbf{i} + x\mathbf{j} - 6z\mathbf{k}\)\)outward through the given surface, we'll first need to parameterize the surface.
The parabolic cylinder is defined by \(\(z = 1 - y^2\)\), and it is bounded by the planes \(\(x = 0\), \(x = 2\),\)and \(\(z = 0\).\)
Let's denote the surface by S and split it into four parts:\(\(S_1\), \(S_2\), \(S_3\)\), and \(S_4\) corresponding to the planes \(\(x = 0\), \(x = 2\),\) and \(\(z = 0\)\)respectively.
1. For the plane (x = 0), the surface is a rectangle bounded by \(y\) and \(z\) coordinates. We can parameterize this surface as \(\(\mathbf{r}_1(y, z) = \mathbf{i} \cdot 0 + y\mathbf{j} + z\mathbf{k}\),\) where \(\(0 \leq y \leq 1\)\) and \(\(0 \leq z \leq 1 - y^2\).\)
2. For the plane (x = 2), the surface is another rectangle with bounds on (y) and (z). We can parameterize this surface as \(\(\mathbf{r}_2(y, z) = 2\mathbf{i} + y\mathbf{j} + z\mathbf{k}\), where \(0 \leq y \leq 1\) and \(0 \leq z \leq 1 - y^2\).\)
3. For the plane \(z = 0\), the surface is a curve in the \(xy\)-plane. We can parameterize this surface as \(\(\mathbf{r}_3(x, y) = x\mathbf{i} + y\mathbf{j}\)\), where \(\(0 \leq x \leq 2\)\) and\(\(-1 \leq y \leq 1\).\)
4. The parabolic surface is already parameterized as\(\(z = 1 - y^2\)\), so we can use \(\(\mathbf{r}_4(x, y) = x\mathbf{i} + y\mathbf{j} + (1 - y^2)\mathbf{k}\),\) where \(\(0 \leq x \leq 2\) and \(-1 \leq y \leq 1\).\)
Next, we calculate the outward unit normal vector for each surface:
1. For \(S_1\), the outward unit normal vector is \(\(\mathbf{n}_1 = -\mathbf{i}\).\)
2. For \(\(S_2\)\), the outward unit normal vector is \(\(\mathbf{n}_2 = \mathbf{i}\).\)
3. For \(\(S_3\)\), the outward unit normal vector is \(\(\mathbf{n}_3 = -\mathbf{k}\).\)
4. Given \(\(\mathbf{r}_4(x, y) = x\mathbf{i} + y\mathbf{j} + (1 - y^2)\mathbf{k}\),\)we can calculate the partial derivatives as follows:
\(\(\frac{\partial \mathbf{r}_4}{\partial x} = \mathbf{i}\)\)and \(\(\frac{\partial \mathbf{r}_4}{\partial y} = \mathbf{j} - 2y\mathbf{k}\)\)
Now, we can calculate \(\(\mathbf{n}_4\)\) as follows:
\(\(\mathbf{n}_4 = \frac{-\frac{\partial z}{\partial x}\mathbf{i} - \frac{\partial z}{\partial y}\mathbf{j} + \mathbf{k}}{\left|\frac{\partial z}{\partial x}\mathbf{i} + \frac{\partial z}{\partial y}\mathbf{j} - \mathbf{k}\right|} = \frac{-\mathbf{i} - (\mathbf{j} - 2y\mathbf{k}) + \mathbf{k}}{\left|-\mathbf{i} - (\mathbf{j} - 2y\mathbf{k}) - \mathbf{k}\right|}\)\(= \frac{-\mathbf{i} - \mathbf{j} + 2y\mathbf{k} + \mathbf{k}}{\left|-\mathbf{i} - \mathbf{j} + (2y + 1)\mathbf{k}\right|} = \frac{-(1+\mathbf{i} + \mathbf{j} - 2y\mathbf{k})}{\left|1 + \mathbf{i} + \mathbf{j} - (2y + 1)\mathbf{k}\right|}\) \(= \frac{-(1+\mathbf{i} + \mathbf{j} - 2y\mathbf{k})}{\sqrt{1 + 1 + 1 + (2y + 1)^2}}\)\)
Thus, the outward unit normal vector \(\(\mathbf{n}_4\) is \(\frac{-(1+\mathbf{i} + \mathbf{j} - 2y\mathbf{k})}{\sqrt{3 + (2y + 1)^2}}\).\)
Please note that we have calculated \(\(\mathbf{n}_4\)\) for the surface \(\(S_4\)\)only. The complete answer requires evaluating the flux for all four surfaces and summing them up.
When we calculate the outward unit normal vector for each surface, we find that \(\(S_1\)\) and \(\(S_2\)\)have normal vectors pointing in opposite directions, while \(\(S_3\)\) and\(\(S_4\)\) also have normal vectors pointing in opposite directions.
Due to this symmetry, the flux of the vector field outward through one surface cancels out the flux through the corresponding opposite surface. Therefore, the net flux through the entire surface is zero (0).
Learn more about parabolic here: https://brainly.com/question/14003217
#SPJ11
The complete question is:
Find the flux of the field \(\(\mathbf{F}(x, y, z) = z^3\mathbf{i} + x\mathbf{j} - 6z\mathbf{k}\)\) outward through the surface cut from the parabolic cylinder \(\(z = 1 - y^2\)\)
by the planes x=0,x=2, and z=0. The flux is (Simplify your answer
can someone pleasee help me. please and thank you!! it’s pemdas and gems:))) and the options are on the side!
trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 18 miles per day. the mileage per day is distributed normally. find the probability that a truck drives between 122 and 127 miles in a day. round your answer to four decimal places.
The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.
To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:
Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ
For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78
For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06
Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803
Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178
So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.
to learn more about probability click here:
https://brainly.com/question/13604758
#SPJ11
Can someone help me plz
Answer:
the green and red one
Step-by-step explanation:
they're the same I'm pretty sure
Answer:
The Green and Red one
Step-by-step explanation:
They both have the same angles but their sides are different
Which of the following represents a nonlinear function?
Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
Learn more about Kristine from
https://brainly.com/question/27244350
#SPJ11
What is the inverse of y=−4x+3?
The inverse of the equation y = - 4x + 3 is y = (3 - x)/4.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
Given, An equation y = - 4x + 3.
To find the inverse we'll first solve for 'x'.
Therefore,
y = - 4x + 3.
4x = 3 - y.
x = (3 - y)/4.
Now, we'll interchange the positions of 'x' and 'y'.
Therefore,
x = (3 - y)/4 becomes,
y = (3 - x)/4.
learn more about inverse functions here :
https://brainly.com/question/2541698
#SPJ1
number 1 is the question
In the picture, t || s, m∠1 = 10x + 2, and m∠2 = 12x – 22. Find the measure of angle 2.
Answer:
122
Step-by-step explanation:
Given information, line t is parallel to line s.
angle 1 and angle 2 are alternate angles and so their measure is equal to each other:
10x + 2 = 12x - 22 transfer like terms to the same side of the equation
2 + 22 = 12x - 10x
24 = 2x divide both sides by 2
12 = x to find the measure of angle 2 replace x with the value we found
12*12 - 22 = 122
Why is log always base 10?
The required explanation for log of base 10 is described.
What is logarithmic function?The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).
According to question:The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.
To know more about logarithmic function visit:
brainly.com/question/3181916
#SPJ4
help with math please will give brainliest
Answer:
I will helo you if you help mr
Step-by-step explanation:
Deal?
Here is a square of side 2a and an equilateral triangle of side a + 1
The perimeter of the square is greater than the perimeter of the triangle.
Work out the range of possible values of a.
Answer: a>0.6
Step-by-step explanation:
i have no clue how to do this someone help
If lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when lisa maximizes her utility she will buy?
If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.
What is marginal utility?In economics, utility is defined as the satisfaction or benefit gained from using a product. The marginal utility of a good or service describes how much pleasure or satisfaction consumers gain as a result of a one-unit increase or decrease in consumption. There are three different kinds of marginal utility. They have a marginal utility of either positive, negative, or zero. For example, if Lisa spends her money on veggie burgers and pints of soy milk, and the price of the veggie burgers is three times the price of the soy milk, Lisa will maximize her utility by purchasing both goods until the marginal utility of the veggie burgers is three times the marginal utility of the soy milk.Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.
Know more about marginal utility here:
https://brainly.com/question/15050855
#SPJ4
Which statement must be true to prove
Which of the following is an irrational number?
Responses
121324−−−√
square root of 121 over 324 end root
256−−−√
square root of 256
125−−−√
square root of 125
364−−√
Answer:
The irrational number is:
364−−√
(square root of 364)
Find the total area of the shaded region. 12 10 18- 2%3 128 o The total area of the shaded region is (Simplify your answer.)
The area of the shaded region is 82π - 68. Answer: 82π - 68
Given: The provided figure. We need to find the total area of the shaded region.
Step 1: Let us calculate the area of the triangle 8-10-18We have a= 8, b= 10, and c=18S = (a + b + c)/2 = (8+10+18)/2 = 18s = 18Area of triangle = sqrt(s(s-a)(s-b)(s-c))= sqrt(18*10*8*2) /4= 24
Step 2: Area of the shaded region
Area of sector OAB + Area of sector OCD + Area of Triangle ABC + Area of Triangle ADC - Area of Quadrilateral BPCD and Area of Quadrilateral APQO(3/4 π r²) + (5/4 π r²) + 48 + 36 - 128 and 24(3/4 π 12²) + (5/4 π 12²) + 48 + 36 - 128 and 24 = 27π + 55π + 48 + 36 - 128 and 24= 82π - 68
The area of the shaded region is 82π - 68.
Answer: 82π - 68
Know more about area here:
https://brainly.com/question/28020161
#SPJ11
The surface area of a cube is 96 cm².
Work out the volume of the cube in cubic centimetres.
The volume of cube in cm is (4cm)
Volume of cube is =96 CM^2
Let's consider he as the edge of cube
Surface area of is =6
That is symbol cube as (e^2)
As per the given question the surface are of cube is given as 96 cm^2
As we know
96=6^2
e^2=96/6
e^=16
e=√16
e=4cm
The volume of cube in centimetre is 4cm
To know more cube click link
https://brainly.com/question/13370015
#SPJ9
Written as the product of its prime factors, 2250=2x3²x5³. Two integers, A and B, can be written as products of prime factors. A=2xpxq¹ B=2xp² xq² The lowest common multiple (LCM) of A and B is 2250. Write down the values of p, q and r.
The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.
Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.
From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:
The prime factor 2 appears in both A and B.
The prime factor 3 appears in A.
The prime factor 5 appears in A.
Comparing this with the prime factorizations of A and B, we can deduce the following:
The prime factor p appears in both A and B, as it is present in the common factors 2 × p.
The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.
From the above analysis, we can conclude:
p = 2
q = 5
r = 3.
For similar question on lowest common multiple.
https://brainly.com/question/16054958
#SPJ8