What are the different ways to write multiplication?
Answers
Answer:
Distribution, equal groups, skip counting, repeated addition, and array.
Step-by-step explanation:
Related Questions
please help me solve this problem
Answers
The features related to vectors are listed below:
Case A: u' = (- 4√41 / 41, - 5√41/ 41)
Case B: Tip coordinantes of vector v: (x, y) = (10, 10)
Case C: r = 11.402
How to determine vectors
In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.
Case A - Unit vector
Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:
u' = u / ||u||
Where:
u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.Please notice that the magnitude of the vector is determined by Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
Where:
r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.Thus, the unit vector of u is:
u' = (- 4, - 5) / √[(- 4)² + (- 5)²]
u' = (- 4, - 5) / √41
u' = (- 4 / √41, - 5 / √41)
u' = (- 4√41 / 41, - 5√41/ 41)
Case B - Definition of a vector
This can be found easily by vector subtraction:
v = Tip coordinates - Base coordinates
(3, 4) = (x, y) - (7, 6)
(x, y) = (3, 4) + (7, 6)
(x, y) = (10, 10)
Case C - Magnitude of a vector
The magnitude is found by means of Pyhtagorean theorem:
r = √[(- 4 - 3)² + (- 5 - 4)²]
r = √[(- 7)² + (- 9)²]
r = 11.402
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Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
Answers
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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Henry can buy bottles of water in packages of 6 for $9.06 or in packages of 4 for $7.96. How
much money does he save by buying 48 bottles of water at the better price?
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7.96*12=95.53
If you subtract 95.53 from 72.48 you get 23.04.
Therefore, the answer would be 23.04. Hope this helps!
The circle below is centered at the point (4, 1) and has a radius of length 2.
What is its equation?
10
A. (x-4)² + (v-1)2 = 4
B. (x-1)2 + (v-4)2 = 4
C. (x + 1)2 + (v-4)² =
22
D. (x+4)2 + (y- 1)²2 = 4
Answers
Answer:
A
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (4, 1 ) and r = 2 , then
(x - 4)² + (y - 1)² = 2² , that is
(x - 4)² + (y - 1)² = 4 ← equation of circle
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answers
Answer:
d) 1/12
Step-by-step explanation:
Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.
(Hint: Assume that the central point of each arc is its corresponding vertex.)
Answers
The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.
To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.
First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.
In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.
Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.
Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.
Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.
Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.
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Rand , a self-employed salesperspnpurchased 2 tickets in 2021 for himself and a prospective client..he also took him out to dinner the tickets costs $200 ea and meal cost $110 how much can rand deduct as business expense
Answers
Answer:
The cost of the two tickets is 200 * 2 = $400.
So, the total cost of the tickets and the meal is 400 + 110 = $510.
As a self-employed salesperson, Rand can deduct the entire amount of $510 as a business expense on his taxes, as long as it is considered a legitimate business expense. This means that he must be able to prove that the tickets and meal were directly related to a business activity, such as attempting to secure a client.
It is important to keep receipts and other documentation to support the business nature of the expenses in case of an audit by the tax authorities.
25% of the students of the student in the class ride the bus to school. If 10 students walk, how many total students are in the class?
Answers
Answer:
40 students
Step-by-step explanation:
can anyone help with this?
Answers
Answer:
Step-by-step explanation:
why do you need help if you already did it?
Write the inverse of f(x) = 3x - 1
f -1(x) =
log 3 x + 1
log 3 ( x - 1)
log 3 x - 1
Answers
Answer:
see below
Step-by-step explanation:
we need to write the inverse of ,
\(\longrightarrow f(x) = 3x -1 \\\)
Substitute \( f(x)=y\) ,
\(\longrightarrow y = 3x-1 \\\)
Interchange x and y ,
\(\longrightarrow x = 3y -1 \\\)
now solve for y ,
\(\longrightarrow 3y = x + 1 \\\)
\(\longrightarrow y =\dfrac{x+1}{3} \\\)
replace \( y\) with \( f^{-1}(x)\) as ,
\(\longrightarrow \underline{\underline{ f^{-1}(x) =\dfrac{x+1}{3}}}\\\)
And we are done!
Answer:
\(f^{-1}(x)=\log_3(x)+1\)
Step-by-step explanation:
Given function:
\(f(x)=3^{x-1}\)
To find the inverse of the given function, swap y and x:
\(\implies x=3^{y-1}\)
Take the log base 3 of each side of the equation:
\(\implies \log_3(x)=\log_{3}3^{y-1}\)
\(\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax\)
\(\implies \log_3(x)=(y-1)\log_{3}3\)
\(\textsf{Apply log law}: \quad \log_aa=1\)
\(\implies \log_3(x)=(y-1)(1)\)
\(\implies \log_3(x)=y-1\)
Add 1 to both sides of the equation:
\(\implies \log_3(x)+1=y\)
\(\implies y=\log_3(x)+1\)
Replace y for f⁻¹(x):
\(\implies f^{-1}(x)=\log_3(x)+1\)
what is 2 6/7 - 5 4/7 =
Answers
Answer:
-19/7
Step-by-step explanation:
convert mixed number into improper fraction
20/7-5 4/7
20/7-39/7
subtract fractions
-19/7
Find the missing length. Write as a simplified radical
Answers
4 units, 6.93 units, 9.801 units, and 6.93 units are the missing lengths.
What are trigonometric ratios?Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Triangles are the focus of trigonometry, or more specifically, the connection between a right-angled triangle's angles and sides. A triangle has three sides: Hypotenuse, Adjacent, and Opposite. Trigonometric Ratio refers to the ratio between these sides based on the angle between them.
Here,
cos 60°=b/8
0.5=b/8
b=4 units
sin 60°=p/8
0.866*8=p
p=6.93 units
sin 45°=6.93/h
h=6.93/0.707
h=9.801 units
cos 45°=b/9.801
0.707*9.801=b
b=6.93 units
The missing lengths are 4 units, 6.93 units, 9.801 units and 6.93 units.
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8-4 Percent Increase and Decreay
Find each percent Increase or decrease to the nearest percent.
1. from 16 to 20
2. from 30 to 24
3. from 15 to 30
6. from 45 to 63
5. from 40 to 46
4. from 35 to 21
9. from 90 to 72
8. from 24.5 to 21.56
7. from 18 to 26.1
12. from 38 to 33
11. from 42 to 92.4
10. trorn 29 to 54
15. from 89 to 32.9
14. from 78 to 136.5
13. from 64 to 36.4
Answers
Answer:
divide each number and conver into percentage
Step-by-step explanation:
Divide the second number by the first one and then minus 1 from the answer that would be the decimal answer multiply it into 100 to get the percentage answer. Example: 20/16 =1.25
1.25-1= 0.25,
0.25 x100 = 25% increase
repeat this process for all, keep in mind it can also be decrease
Which of the pairs of events below is dependent?
Select the correct answer below:
rolling a 3 and then rolling a 4 with a standard die
rolling a 3 with a standard die and then rolling a sum greater than 4 when counting the next roll
rolling two 4's from two rolls of a standard die
drawing a heart and drawing another heart with a replacement from a standard deck of cards
Answers
The pairs of events that are dependent are given as follows:
rolling a 3 with a standard die and then rolling a sum greater than 4 when counting the next roll
What are dependent events?Two events are called dependent when the outcome of an event influences the probability of the second event.
For the sum of two rolls, we have that the probability of the desired sum being achieved is different if the first roll was a one than if the first roll was a six, hence the two events are dependent.
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What is the meaning of "the notion of finiteness"?
Answers
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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i need help on this please & thank you :(
Answers
Answer:
1,200
Step-by-step explanation:
5% Of 12,000 is 600. Since she is not changing anything, then you can safely multiply the interest by 2 as 2 years passed. 2 times 600 is 1,200.
Write the exact value of the side length, in units, of a square whose area in square units is 37
side length = __ units
Answers
Step-by-step explanation:
Given Information :Area of the square = 37 units²To calculate :SideCalculation :★ Area of square = (Side)²
Substitute the values we have.
→ 37 cm² = (Side)²
→ √(37 cm²) = Side
→ 6.08276253 cm = Side
\( \rule{200}2 \)
Maria is studying the phenomenon of pyramid power. She has read that items placed inside pyramids show amazing properties. Maria is going to see if the pyramid phenomenon will work on her young plants. She will construct an all-glass pyramid as shown.
The pyramid is regular with a square base, and all eight edges are the same length. From the possible solutions below, which amount is the closest estimate of the amount of glass Maria will need to construct her pyramid?
a) 1935 cm squared
b) 3353 cm squared
c) 5289.25 cm squared
d) 8642.5 cm squared
Answers
The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.
How to calculate the area of a square based pyramid?To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:
\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)
Where:
a= 44cm
height= 44²-22²= 38.1cm
Area= 44²+ 2(44) × √44²/4 + 38.1²
= 1936+88 × √ 484+1452
= 2024× √1936
= 5807.61 cm².
Therefore the closest estimate to the final answer would be 5289.25 cm squared
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Find the Value of Y.
Answers
The value of y in the triangle is 2√10 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The value of y can be found using the similar triangle ratios as follows:
Hence,
8 / y = y / 5
cross multiply
y² = 8 × 5
y²= 40
square root both sides of the equation
y = √40
Therefore,
y = 2√10 units
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Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
Answers
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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What is this answer
Answers
Answer:
2^3 + 5^2 = 34
7^2 - 3^3 = 22
8^2 + (square root) 100 = 74
Step-by-step explanation:
Hope this helps! Lol I couldn't find the square root symbol.
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Answers
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
Please help!!! Answer needed fast<3
Answers
Answer:
-5 + 6 = 1
Step-by-step explanation:
The model number may be used to simplify -5 + 6 = 1
2.
Each child in a group was asked to choose a single favorite type of cereal. The table shows the number of children who chose each type of cereal as a favorite.
type of cereal ...... number of children
oatmeal ..............15
grits ................. 10
wheat .................... 2
cold cereal ................ 20
other....................... 3
Which statement is NOT supported by the data in the table?
Answers
Answer
F.More than 5% of the children chose “other” as the favorite type of cereal.
Step-by-step explanation:
The answer is F
Given: QM is the angle bisector of ∠LMP QM is the angle bisector of ∠PQL Prove: LM ≅PQ
Answers
Answer:
Step-by-step explanation:
QM is the angle bisector of ∠LMP
∠LMQ = ∠QMP
QM is the angle bisector of ∠PQL
∠PQM = ∠MQL
MQ = QM as common
By ASA, triangle MQP ≅ MQL
LM = PM and LQ = PQ as they are same side of congruent triangles
Triangle LPQ and LPM are isosceles
By angle bisector theorem, LP is perpendicular to MQ
By properties of rhombus, the two diagonals are perpendicular proves that LMPQ is a rhombus.
LM ≅ PQ
Answer:
Step-by-step explanation:
∠LMQ = ∠QMP QM is the angle bisector of ∠LMP
∠PQM = ∠MQL QM is the angle bisector of ∠PQL
MQ = QM common
MQP ≅ MQL ASA
LP ⊥ MQ angle bisector theorem
LMPQ is rhombus property of rhombus
LM ≅ PQ property of rhombus
3 lawns in 9 hours.what was the rate of mowing in hours per lawn
Answers
Answer:
3
Step-by-step explanation:
3 = 9 \:th \\ 1 = 3 \\ 3 \times 3 = 9 \\ 9 \div 3 = 3 \\ so \: that \: answer \: is \: 3
Hey can someone help me with this plzzzzz
Answers
Answer:
Step-by-step explanation:
41 + 17 = 58
A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.
Answers
Middle - cherry
Most likely - grape
Identify the equivalent expression for each of the expressions below.
(m^1/3)^1/5
Answers
Answer:
\((m^{\frac{1}{3} })^{\frac{1}{5} }= m^{\frac{1}{15} \\\\\)
HELPPP ASPA 60 POINT!!!!!Show to draw a line segment that measures 92 millimeters. i need it to be in words not a photo please
Answers
A line segment that measures 92 millimeters in length can be drawn using scale.
Given that,
A line segment has to be drawn which has a measure of length 92 millimeters.
We know that,
10 millimeters = 1 centimeter
1 millimeter = 1/10 centimeters
92 millimeters = 92/10 = 9.2 centimeters
So it is enough to draw a line segment of length 9.2 centimeters.
In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.
In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.
So draw a line segment starting from 0 to 9.2.
Hence the line segment is drawn with scale.
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