Solving expression
[tex]\\ \rm\Rrightarrow (62-42)3[/tex]
[tex]\\ \rm\Rrightarrow 3(20)[/tex]
[tex]\\ \rm\Rrightarrow 60[/tex]
Answer:
3 times the difference of 62 and 42
Step-by-step explanation:
(62−42)×3
The difference of 62 and 42 times 3
If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.
Let $$\mathbf { u } , \mathbf { v } , \text { and } \mathbf { w }$$ be vectors. Which of the following make sense, and which do not? Give reasons for your answers. $$
a.( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { w }\quad
b. \mathbf { u } \times ( \mathbf { v } \cdot \mathbf { w } )\ quad
c. \mathbf { u } \times ( \mathbf { v } \times \mathbf { w } )\quad
d. \mathbf { u } \cdot ( \mathbf { v } \cdot \mathbf { w } ).$$
(u × v) • w makes sense, since u × v is another vector, and so (u × v) • w is a scalar.
u × (v • w) does not make sense, since v • w is a scalar, and the cross product is not defined between a vector and a scalar.
(u × v) × w makes sense, since u × v is a vector and so is w.
u • (v • w) does not make sense, since v • w is scalar, and the dot product is not defined between a vector and a scalar.
PLS HELP ON THIS QUESTIN I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The bars in a _____________ do not touch since data is ______________.
A. bar graph ; continuous
B. bar graph ; discrete
C. histogram ; discrete
D. histogram ; continuous
Answer:
I believe it's D. histogram ; continuous
Step-by-step explanation:
which of the following shows maximum rise in temperature?
a} 23 to 32
b} [ -10] to 1
c} [-18] to [-11]
d} [-5] to 5
Answer:
b) (-10) to 1Step-by-step explanation:
it shows the maximum rise in temperature.
Answer:
b answer, will show the rise in temperature
Suppose that F(x) = x? and g(x) = -3x? Which statement best compares the
graph of G(x) with the graph of F(x)?
Answer:
flipped over the x-axis and stretched verticallyStep-by-step explanation:
Multiplying y by a value greater than 1 results in a vertical stretch. When the sign of it is negative there is a reflection over the x-axis. The appropriate choice is shown below.
__
The second attachment shows how the graph is flipped and stretched.
Kent guessed that there were
2,473 candies in the jar.
What is the value of the 2?
Answer:
The value of the 2 is two-thousand
Step-by-step explanation:
Answer:
thousands
Step-by-step explanation:
thousands, hundreds tens ones
2 4 7 3
A cylindrical tank whose diameter is 1.4 metres and height 80 cm is initially empty. Water whose volume is 492.8 litres is poured into the tank. Determine the fraction of the tank filled with water. (4 marks
Answer:
7/40 is the fraction filled with water
Step-by-step explanation:
Here we start by calculating the volume of the cylindrical tank.
Mathematically, that would be;
V = π * r^2 * h
From the question
r = 80 cm = 80/100 = 0.8 meters
h = 1.4 meters
π = 22/7
Plugging these values into the volume equation, we have;
V = 22/7 * 0.8 * 0.8 * 1.4 = 2.816 m^3
But mathematically;
1 m^3 = 1000 liters
So 2.816 m^3 = 2.816 * 1000 = 2816 liters
So the fraction filled with water will be;
492.8/2816 = 0.175 = 175/1000 = 7/40
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answer:
32
Step-by-step explanation:
This is because you would want the feet and the radium kinda meeting up in a way and would need to make sure you can fill it in with th e drive way as it will be on a horizontal base so you would need X2 of the driveway to make it into a standing up horizontal base
Hope this helps
If this seems incorrect please comment with the answer that it should be and I shall change my answer thanks you :)
Which of the following is a correct sine ratio for the figure?
A) C = 12∕13
B) C = 5∕12
C) C = 5∕13
D) C = 13∕12
Answer:
sin C= 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin C= 5/13
Help I don’t know the answer
Answer:
(D) 6
Step-by-step explanation:
We can substitute the values of a (7) and b (-4) into the equation to find it's result.
[tex]\frac{|2a| -b}{3} \\\\\\\frac{|2\cdot7|-(-4)}{3}\\\\\frac{|14|+4}{3}\\\\\frac{14+4}{3}\\\\\frac{18}{3}\\\\ 6[/tex]
So 6 is the value of this expression when a is 7 and b is -4.
Hope this helped!
Write the last 4 digits of a telephone number (each digit MUST be different--ex. 5237). List all the 4-digit numbers you can make using those 4 digits.
Answer:
5040
Step-by-step explanation:
All the possible Numbers that can be placed in the last for places =0,1,2,3,4,5,6,7,8,9
If all the digits have be different , then
= 10 x 9 x 8 x 7
= 90 x 56
= 5040 are total no. of 4-digit numbers can be made using those 4 digits.
I need help bc I am not smart
Answer:
1) one and two-thirds hour
2) 2.4 miles
What is the area of a triangle whose vertices are (4,0), (2,
3), (8,-6)?(using distance formula)
a) 2 sq. units b) 0 sq. units c) 1 sq. units d) 4 sq. units
Answer:
The correct option is;
b) 0 sq, units
Step-by-step explanation:
The vertices of the triangle are;
(4, 0), (2, 3), (8, -6)
The distance formula fr finding the length of a segment is given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where, (x₁, y₁) and (x₂, y₂) are the coordinates of the end points of the line
For the points (4, 0) and (2, 3) , we have;
√((3 - 0)² + (2 -4)²) = √13
Distance from (4, 0) to (2, 3) = √13
For the points (4, 0) and (8, -6) , we have;
√((-6 - 0)² + (8 -4)²) = √13 =
Distance from (4, 0) to (8, -6) = 2·√13
For the points (2, 3) and (8, -6) , we have;
√((-6 - 3)² + (8 -2)²) = 3·√13 =
Distance from (2, 3) to (8, -6) = 3·√13
Therefore, the perimeter of the triangle = 6·√13
The semi perimeter s = 3·√13
The area of the triangle, [tex]A = \sqrt{s\cdot \left (s-a \right )\cdot \left (s-b \right ) \cdot \left ( s-c \right )}[/tex]
Where;
a, b, and c are the length of the sides of the triangle;
[tex]A = \sqrt{3\cdot \sqrt{3} \cdot \left (3\cdot \sqrt{3} -\sqrt{3} \right )\cdot \left (3\cdot \sqrt{3} -2 \cdot \sqrt{3} \right ) \cdot \left ( 3\cdot \sqrt{3} -3\cdot \sqrt{3} \right )} = 0[/tex]
Therefore, the area = 0 sq, units.
Please help, 50 points! :) Please do all parts
you WILL get brainiest
PDF attached below
1. The first step here is to arrange the data set's form least to greatest,
Sherelle: 26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85
Venita: 44, 45, 51, 51, 53, 53, 55, 57, 58, 62, 65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Now we can determine our 5 - number summary based on the numbers respective positions.
First Data Set,
(Five - Number Summary) - Minimum : 26, Quartile 1 : 60, Median : 69.5, Quartile 3 : 75, Maximum : 85
Second Data Set,
(Five - Number Summary) - Minimum : 44, Quartile 1 : 53, Median : 63.5, Quartile 3 : 73, Maximum : 79
2. This part is based on your drawings of the box and whisker plots, so you would have to figure that part out by yourself.
3. First off we know that our data set is composed of the years from 1900, so let's rewrite the set based off of the actual year -
Sherelle: 1926, 1939, 1956, 1958, 1960, 1962, 1965, 1966, 1966, 1968, 1971, 1972, 1972, 1973, 1974, 1975, 1981, 1983, 1984, 1985
Venita: 1944, 1945, 1951, 1951, 1953, 1953, 1955, 1957, 1958, 1962, 1965, 1966, 1969, 1969, 1970, 1973, 1975, 1977, 1978, 1979
( a ) Now in Sherelle's defence, she can say that the lowest coin date in her group is 1926, comparative to Venita's group - the lowest coin date in hers being 1944. Therefore, she is more likely to have the 1916 coin, after all that date is the lowest overall in both their data set.
( b ) In Venita defence, she can say that the mean of her data set is lower than the mean of Sherelle's data set. Take a look at the calculations below,
Sherella's Mean : [tex]\frac{39336}{20}[/tex] = [tex]\frac{9834}{5}[/tex] = 1966.8,
Venita's Mean : [tex]\frac{39250}{20}[/tex] = [tex]\frac{3925}{2}[/tex] = 1962.5
( c ) I would say Sherella's bag would most likely contain the 1916 coin. The mean is a prominent factor, but their mean(s) only differ by a very small quantity. That too, Sherella's bag contains the lowest coin in both their groups, and though that is not a prominent factor, it could be that she does have the 1916 coin.
Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)^(x-1). Explain how Christina can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $103. Justify your reasoning.
Answer:
→To combine the two functions, you have to multiply them together, like so:
h(x) · s(x)
→This can also be shown as:
[tex](103)(1.03)^x^-^1[/tex]
The reason as to why you would multiply the two functions together, and not add, is because of the words accrues. Based on the information given, the interest amount of money, which is $103, accrues, which basically means that the money will increase in a pattern, over time. In addition, when a world problem involves a bank and money, multiplication is usually occurring.
The total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is g(x) = (103)(1.03)^(x-1).
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function,
[tex]h(x) = 103[/tex]
She reads about a bank that has savings accounts that accrue interest according to the function,
[tex]s(x) = (1.03)^{(x-1)}[/tex]
This function means that the interest amount is 3% in value per year in which x represent the number of years.
Now the total amount of money she will have in her bank account as interest accrues will be equal to the product principal and interest rate.
Let the amount of money she will have in her bank account as interest accrues is represented by function g(x). Thus,
[tex]g(x) = (103)(1.03)^{(x-1)}[/tex]
Thus, the total amount of money Christina will have in her bank account as interest accrues after she deposits her $103 is.
[tex]g(x) = (103)(1.03)^{(x-1)}.[/tex]
Learn more about the simple interest here;
https://brainly.com/question/2294792
Ice cream beans are selling for $10 per pound and durians are selling for $9 per pound. If the market sold a total of $196 worth of durians and ice cream beans yesterday, and it sold 11 pounds of durian, which of the following is a good estimation of the total pounds of ice cream beans sold?
Answer:
I am not good at word problems but I think I found some good examples
Step-by-step explanation:
Durain beans cost $9 per pound and they sold 11 pounds.
Multiply the cost by the amount sold: 9 x 11 = $99
Subtract that from the total sold:
196 - 99 = $97
Now divide the amount left by the cost per pound for Ice cream beans:
97 / 10 = 9.7 pounds.
First Question The following table shows the length and width of a rectangle: Length Width Rectangle A 4x + 5 3x − 2 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? A.14x + 6; the answer is a polynomial B.14x + 6; the answer may or may not be a polynomial C.2x + 6; the answer is a polynomial D.2x + 6; the answer may or may not be a polynomial
Answer: A.14x + 6; the answer is a polynomial
Step-by-step explanation:
Since all of the variables have integer exponents that are positive this is a polynomial.
Ken has 86 feet of fencing , to make a vegetable garden . Which design below will give ken the largest garden ?
Answer:it’s the top right box
Step-by-step explanation: what I did was I added 24+24 and 19+19 which gives you 86ft
Answer:It is left side 21ft and top 22ft Step-by-step explanation:
slove the equation for y and x
Answer:
x=2
y=-3
Step-by-step explanation:
2x+y = 1
3x+2y = 0
Multiply the first equation by -2
-4x-2y = -2
Add this to the second equation
-4x-2y = -2
3x+2y = 0
-------------------
-x = -2
Multiply by -1
x = 2
Now find y
2x+y = 1
2(2) +y = 1
4 +y = 1
Subtract 4 from each side
y = 1-4
y = -3
Answer: y = -2x + 1
Solution to the system: (2,-3)
Step-by-step explanation:
2x + y = 1
3x + 2y = 0
We can solve this using substitution
The first thing that we're going to want to do is solve for y in the first equation
Solve for y
2x + y = 1
Subtract 2x from both sides
y = 1 - 2x
We now have the two equations
y = -2x + 1 and 3x + 2y = 0
The next step in solving the system is to plug in the expression of y ( -2x + 1) into the second equation
3x + 2y = 0
Substitute -2x + 1 for y
3x + 2(-2x + 1) = 0
Now solve for x
Distribute the 2 to the -2x and 1
2 * -2x = -4x
2 * 1 = 2
We now have 3x - 4x + 2 = 0
Combine like terms
-x + 2 = 0
Add x to both sides
2 = x
Now to find the value of y we substitute the value of x into one of the equations and solve for y
2x + y = 1
x = 2
2(2) + y = 1
Multiply
4 + y = 1
Subtract 4 from both sides
y = -3
The solution to the system is (2,-3)
And we are done!
Please help me with this
verifying, by putting [tex] \theta=60^{\circ}[/tex]
LHS≠RHS
hence the question is FALSE
The Cube root of 66 is between which two integers?
Answer:
4 and 5
Step-by-step explanation:
cube root of 66 is 4.041240021
Avanced Algebra PLS ANSWER THIS CORRECTLY
Use the function f(x) to answer the questions:
f(x) = 2x^2 − 3x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
Below
Step-by-step explanation:
Part A: -1 and 2.5
Part B: The vertex is a minimum
Part C: tbh, I'm not quite sure about this part but just use parts A and B to answer :)
(you can also use the website desmos. com/calculator as a graphing calculator)
An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Each edge of the cube is 20cm. If it stayed on the edges it would need to walk on 3 edges for a total distance of 3 x 20 = 60 cm.
If it walked diagonally across the front face and then one edge it would travel:
Diagonal = sqrt(20^2 + 20^2) = 28.28
Total distance waling a diagonal and then an edge = 28.28 + 20 = 48.28 cm
The shortest distance would be diagonally across the front face then the edge to point B and the distance would be 48.28 cm.
three people alice , ben , calvin, are conversing at a taxi stand since taxis are the only ride service in this town. although they havent met before ,they realize that all are going the same route to get desire destination. alice destination is 20 miles away , ben destination 30 miles away and calvins destination 40 miles away , the taxi costs 2 dollars per mile with tip included regardless of the number of passengers. how much should each person pay if the three share a cab to their respective destination
Answer:
Alice will have to pay $13.33
Ben will have to pay $23.33
Kelvin will have to pay $43.33
Step-by-step explanation:
Given that
Alice destination is 20 miles away
Ben destination is 30 miles away
Calvin destination is 40 miles away.
For a mile, taxi costs 2 dollars.
To find:
How much each person has to pay if they share the same taxi to their respective destinations?
Solution:
For the first 20 miles, the taxi will be shared by all 3 of them.
Charges for 20 miles = 20 [tex]\times[/tex] 2 = $40
This $40 will be shared among all 3.
Each will pay = [tex]\frac{40}{3} = \$13.33[/tex]
Charges for Alice = $13.33
Charges for Ben = $13.33
Charges for Calvin = $13.33
For the next 10 miles, the taxi will be shared by Ben and Calvin.
Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20
This $20 will be shared between Ben and Calvin.
Each will pay = [tex]\frac{20}{2} = \$10[/tex]
Charges for Alice = $13.33
Charges for Ben = $13.33 + 10 = $23.33
Charges for Calvin = $13.33 + 10 = $23.33
For the next 10 miles, Calvin travels alone.
Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20
This $20 will be paid by Calvin alone.
Charges for Alice = $13.33
Charges for Ben = $23.33
Charges for Calvin = $23.33 + 20 = $43.33
Which of the two functions below has the largest maximum y-value?
f(x) = -x4- 2
g(x) = -3x3 + 2
Answer:
g(x)=-3x^{3}+2
Step-by-step explanation:
g(x) has a range that of (-infinity, +infinity), whereas f(x) has a range of (-infinity, -2].
Answer:
Step-by-step explanation:
● f(x) = -x^4 -2
● g(x) = -3x^3 + 2
Derivate both functions:
● f'(x) = -4x^3
● g'(x) = -9x^2
Solve the equations f'(x) =0 and g'(x) =0
● f'(x) = 0
● -4x^3 = 0
● x^3 = 0
● x =0
● g'(x) = 0
● -9x^2 = 0
● x^2 =0
● x = 0
So both functions f and g reach their maximum at 0.
● f(0) = 0^4-2 = -2
● g(0) = -3×0^3 +2 = 2
So g(0)>f(0)
So g has the largest maximum value.
Find the value of x in this equation. 180-5x=140180−5x=140
Answer: 8
Step-by-step explanation:
Given equation x-y=2. Find x and y.
{3, 6, 9, 12, 15, 18, 21, ...)
Answer:
Below
Step-by-step explanation:
5)
The sequence includes the terms 3,6,9,12,15.. and so on
Notice that each time we add 3.
The first term is 3.
We can see it in a different way
● 3 = 3×1
● 6 = 3×2
● 9 = 3×3
● 12 = 3×4
Let 1 be n. Notice what happens
● 3 = 3n
● 6 = 3 × (n+1)
● 9 = 3 × (n+2)
● 12 = 3 × (n+3)
So we can express it as.
● a1 = 3 × 1 =3
● a2 = 3×2 =6
● a3 = 3×3 = 9
So the third term is a3 wich is 9
● a6 = 3×6 = 18
So the sixth term is 18 .
■■■■■■■■■■■■■■■■■■■■■■■■■■
6)
the sequence is defined by:
● f(n-1) = -0.5 f(n)
Repalce n-1 with n and n with n+1
● f(n) = -0.5 f(n+1)
So to get a term you must multiply the next one by -0.5
The first term in the sequence is 120.
● 120 = -0.5 f(n+1)
● f(n+1) = 120/-0.5
● f(n+1) = -60
So the second term is -60
calculate area and perimeter
Answer:
area ≈ 12.505
perimeter ≈ 16.1684
Step-by-step explanation:
We are given
- the radius of the circle (and therefore area of the circle)
- the area of the triangle
We want to find
- angle AOB/AOT. We want to find this because 360/the angle gives us how many OABs fit into the circle. For example, if AOT was 30 degrees, 360/30 = 12 (there are 360 degrees in a circle, so that's where 360 comes from). The area of the circle is equal to πr² = π6² = 36π, and because AOT is 30 degrees, there are 12 equal parts of sector OAB in the circle, so 36π/12=3π would be the area of the sector. A similar conclusion can be reached from the circumference instead of the area to find the distance between A and B along the circle, and OA + AB + BO = the perimeter of the minor sector.
First, we can say that OAT is a right triangle because a tangent line is perpendicular to the line from the center to the point on the circle, so AT is perpendicular to OA. This forms two right angles, one of which is OAT
One thing that we can start to solve is AT. We know that the area of a triangle is equal to base * height /2, and the height of this triangle is AO, with the base being AT. Therefore, we can say
15 = AO * AT / 2
15 = 6 * AT / 2
15 = 3 * AT
divide both sides by 3 to isolate AT
AT = 5
Because OAT is a right triangle, we can say that the hypotenuse ² = the sum of the squares of the two other lengths. The hypotenuse is opposite of the largest angle (in this case, the right angle, as in a right triangle, the right angle is always the largest), so it is OT in this case. The other two sides are OA and AT, so we can say that
OA² + AT² = OT²
5²+6² = OT²
25+36=61=OT²
square root both sides
OT = √61
Next, the Law of Sines states that
sinA/a = sinB/b = sinC/c with angles A, B, and C with sides a, b, and c. Corresponding sides are opposite their corresponding angles, so in this case, AT corresponds to angle AOT, OT corresponds to angle OAT, and AO corresponds to angle ATO.
We want to find angle AOT, as stated earlier, so we have
sin(OAT)/OT = sin(ATO)/OA = sin(AOT)/AT
We know the side lengths as well as OAT/sin(OAT) and want to figure out AOT/sin(AOT), so one equation that helps us get there is
sin(OAT)/OT = sin(AOT)/AT, encompassing our 3 known values and isolating the one unknown. We thus have
sin(90)/√61 = sin(AOT) /5
plug in sin(90) = 1
1/√61 = sin(AOT)/5
multiply both sides by 5 to isolate sin(AOT)
5/√61 = sin(AOT)
we can thus say that
arcsin(5/√61) = AOT ≈39.80557
As stated previously, given ∠AOT, we can find the area and perimeter of the sector. There are 360/39.80557 ≈ 9.04396 equal parts of sector OAB in the circle. The area of the circle is πr² = 36π, so 36π / 9.04396 ≈ 12.505 as the area. The circumference is equal to π * diameter = π * 2 * radius = 12 * π, and there are 9.04396 equal parts of arc AB in the circumference, so the length of arc is 12π / 9.04396 ≈ 4.1684. Add that to OA and OB (both are equal to the radius of 6, as any point from the center to a point on the circle is equal to the radius) to get 6+6 + 4.1684 = 16.1684 as the perimeter of the sector
EFGH is an isosceles trapezoid and EFGI is a parallelogram. If m∠IEF = 36°, then m∠HGI = ° (Blank 1).
The base angles of an isosceles trapezoid are equal; For EFGI to be a parallelogram, the measure of [tex]\angle HGI[/tex] is: 108 degrees
Given that:
[tex]\angle IEF = 36^o[/tex]
IEF and GHI are the base angles of the trapezoid.
So:
[tex]\angle GHI = \angle IEF = 36^o[/tex]
Also:
[tex]\triangle GHI[/tex] is an isosceles triangle.
This means that:
[tex]\angle GHI = \angle HIG = 36^o[/tex] --- base angles of an isosceles triangle
So:
[tex]\angle GHI + \angle HIG + \angle HGI = 180[/tex] --- sum of angles in a triangle
Substitute known values
[tex]36 + 36+ \angle HGI = 180[/tex]
[tex]72 + \angle HGI = 180[/tex]
Collect like terms
[tex]\angle HGI = 180-72[/tex]
[tex]\angle HGI = 108[/tex]
Learn more about isosceles trapezoids at:
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