Answer:
A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.
Step-by-step explanation:
The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).
What is the circumference of circle with diameter 7 cm?
Answer:21.99
Step-by-step explanation: Given diameter of a circle is(d)=7cm.
Now, we know that circumference of circle is =πd, where d is diameter of circle.
So, here circumference is = π×7cm
= 22/7 x 7 cm
Circumference = 22cm
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Diameter of the circle "d" = 7 cm
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The circumference of the circle.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\: 22\:cm.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = \frac{22}{7} \times 7 \: cm[/tex]
[tex] = 22 \: cm[/tex]
Therefore, the circumference of the circle is 22 cm.
[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\pink{❦}}}}}[/tex]
complete each division sentence using the models provided
Answer:
honestly for division of fractions the only sentence you need to know is...
"mine is not to question why, but to invert and multiply"...
fractional division can be done with "an inverse multiplication:
5/6 ÷ 1/6 can be changed to 5/6 * 6/1 = 30/6 = 5
3/5 ÷1/10 can be changed to 3/5 * 10/1 = 30/5 = 6
Step-by-step explanation:
b) Show that the points (1,1), (-1,-1) and ( -root3, root 3 ) are the vertices of an equilateral triangle.
Given:
The vertices of a triangle are [tex](1,1),(-1,-1),(-\sqrt{3},\sqrt{3})[/tex].
To prove:
The given vertices are the vertices of an equilateral triangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the vertices of the triangle are [tex]A(1,1),B(-1,-1),C(-\sqrt{3},\sqrt{3})[/tex]. Then, by using the distance formula, we get
[tex]AB=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]
[tex]AB=\sqrt{(-2)^2+(-2)^2}[/tex]
[tex]AB=\sqrt{4+4}[/tex]
[tex]AB=\sqrt{8}[/tex]
Similarly,
[tex]BC=\sqrt{(-\sqrt{3}-(-1))^2+(\sqrt{3}-(-1))^2}[/tex]
[tex]BC=\sqrt{(1-\sqrt{3})^2+(1+\sqrt{3})^2}[/tex]
[tex]BC=\sqrt{(1)^2+(\sqrt{3})^2-2\sqrt{3}+(1)^2+(\sqrt{3})^2+2\sqrt{3}}[/tex]
[tex]BC=\sqrt{1+3+1+3}[/tex]
[tex]BC=\sqrt{8}[/tex]
And,
[tex]CA=\sqrt{(1-(-\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]
[tex]CA=\sqrt{(1+\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]
[tex]CA=\sqrt{(1)^2+(\sqrt{3})^2+2\sqrt{3}+(1)^2+(\sqrt{3})^2-2\sqrt{3}}[/tex]
[tex]CA=\sqrt{1+3+1+3}[/tex]
[tex]CA=\sqrt{8}[/tex]
Clearly, [tex]AB=BC=CA[/tex].
Since all sides of the given triangle are equal, therefore the given vertices are the vertices of an equilateral triangle.
Hence proved.
The sides of a triangle are 4, 7, and 10. The triangle is dilated by a scale factor of 3 to create a
new triangle. Find the perimeter of the new triangle.
A
21 units
B
63 units
30 units
D
25 units
Answer:
B 63 units
Step-by-step explanation:
Dilatation is an increase of shape , a larger imagine , the dilatation is 3 so times each side by three and add them all up
For EASY BRAINLIEST!!!
Answer:
A.
B.
C.
D.
On both questions
Answer:
8a) 3x
8b) 3 × x
8c) (2/3)x
8d) x/2
8e) 1/x
9a) 4x - 7
9b) x + 1/x
9c) 5(x + 2)
9d) x/(x + 4)
9e) (x/8) + x
is this correct please help!
Answer:
Almost...
The correct answer would be
To find the area of the base, multiply 15 times 16 then divide by 2
Then multiply by 19 to find the volume of the shape
Step-by-step explanation:
The base is a triangle
The area of a triangle = base length times height divided by 2
The triangle has a base length of 16 and a height of 15
So to find the area of the base we multiply 15 times 16 and divide that by 2
The volume of a prism is equal to the area of the base times the length of the prism
The length of the prism is 19 so we would then multiply by 19
\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}
Answer:
[tex]= \frac{2x-3\sqrt{x} }{x-1}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}[/tex]
Expand
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}[/tex]
This gives the simplified form
A rectangular cube of volume 8000cm3 has
length= 4x
width = 2x
Height= 1x
Find it's length, width and height.
Answer:
volumn= l*b*h
4x*2x*1x= 8000 cm3
8x= 8000 cm3
x= 1000cm3
length = 4000
breadth= 2000
height = 1000
Someone found 100! And added up all its digits. Then, this person added up the digits of this sum. The process was continued until the sum was a one-digit number. What was that number?
I rlly need some help
Answer:
5/3π or 5.2
Step-by-step explanation:
30 / 360 = x / 20π
then x = 5/3π or 5.2
Answer:
5/3 [tex]\pi[/tex]
Step-by-step explanation:
30/360 * 2 [tex]\pi 10[/tex]
1/12 * 2 [tex]\pi 10[/tex]
20/12 [tex]\pi[/tex]
5/3 [tex]\pi[/tex]
A radius of a circle is 8 centimeters long.
One centimeter is about 0.4 inches. About
how long is the radius of the circle in
inches?
Answer:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
How would you solve this problem??
Answer:
x = 14000
Step-by-step explanation:
Function representing the cost to the company,
C(x) = -27x² + 51000x + 20433
Function defining the revenue generated,
R(x) = -36x²+ 303000x
Since, Profit to the company = Revenue - Cost
= R(x) - C(x)
P(x) = -36x² + 303000x - (-27x² + 51000x + 20433)
= -36x² + 27x² + 303000x - 51000x - 20433
P(x) = -9x² + 252000x - 20433
To maximize the profit,
P'(x) = -18x + 252000 [Derivative of the function P(x)]
P'(x) = 0
-18x + 252000 = 0
18x = 252000
x = 14000
Therefore, for the maximum profit company has to produce and sell 14000 phones.
These trapezoids are similar. Which of the following is the correct similarity statement?
How to do long division
Answer:
if you wanna do long division you have to simply just follow a procedure that is nice and easy so long division method is mainly need to find the square of a number with out using the prime factorization method the procedure is consisting of these of two steps
Obtain the number whose square root is to be computedplace bars every pair of digits starting with the unit digits .Also place a bar on one digit if any not forming a on the extreme left. each pair and the remaining one digit (if any) on the extreme left is called a period think of the largest number whose square is less than or equal to the first period . if this number as the divisor and the quotient put the question above the period and write the product of divisor and question just below the first period.subtract the product of divisor and quotient from the first period and bring down the next point to the right of the remainder this becomes the next dividend.double the question as it appears and enter It to the blank on the right for the next digits, as the next possible divisor.think of a digit to fill the blank in step 6 in such a way that the product of new divisor and its digit is equal to or just less than the new dividend obtained in the step 5 .subtract the product of the digits chosen in steps 7 and the new division from the dividend obtained in step 5 and bring down the next period to the right of the remainder of this becomes new dividend .repeat the steps 5 6 and 7 till all the periods have been taken up .obtain the quotient as a square root of the given number .Hope it helps
how do you find the area of a rectangle
Answer:
You multiply length by width.
Step-by-step explanation:
To find the area of a rectangle you multiply length and width together.
For example if a rectangle has length 2 and width 3 the area of the rectangle would be 6, since 2 * 3 is 6.
Answer:area =length x width
Step-by-step explanation:
In parallelogram RSTU if RT=36 find RV.
Answer:
rv = 18
Step-by-step explanation:
if rt is 36, rv is half of that so you take 36 and divide by 2 and get 18,
have a great day!!
Answer:
18
Step-by-step explanation:
Because i have parallegram RSTU
=> RT = 2*RV = 2*VT
SU = 2* SV = 2*VU
Calculate the bank charges if a client wants to send a cash amount of R450 to a friend at an ATM without using a card
Answer:
R6.775
Step-by-step explanation:
Given that :
The transaction fee charged is calculated using the relation :
Transaction fee = R2.50 + 0.95%(amount deposited)
If amount to deposit is R450 ; the bank charge will be:
R2.50 + 0.95%(Amount deposited)
R2.50 + 0.0095(450)
R2.50 + R4.275
R(2.50 + 4.275)
R6.775
How many cups of chocolate would Linda need for 2 cups of cream
Find the value of x.
42°
(5x + 2)
Answer:
x=8
Step-by-step explanation:
assuming this is what you mean:
(5x+2)=42
try to
isolate the variable by subtracting 2 from both sides
5x=40
continue to isolate the variable
divide by 5 on both sides
5x/5=40/5
x=8
Lateral area=
A)96 pie square units
B)24 pie square units
C)48 pie square units
Answer:
C)48 pi square units
Step-by-step explanation:
The lateral area is the area around the sides ( does not include the top or bottom)
LSA = 2pirh
= 2 pi(4) (6)
= 48 pi
Are holidays a proper subset of the calendar year?
Select the correct answer below:
No, holidays are only a subset of the calendar year.
Yes, holidays are a proper subset but not a subset of the calendar year.
Yes, holidays are a subset and proper subset of the calendar year.
No, holidays are not a subset or proper subset of the calendar year.
Answer: Choice C
Yes, holidays are a subset and proper subset of the calendar year.
=========================================================
Explanation:
The set of days in the calendar year spans from Jan 1st to Dec 31st.
The set of holidays is a small subset of the previous set mentioned. Any holiday is found on the calendar, but not every day on the calendar is a holiday.
------------
Here's another example of a subset
A = set of all animals
B = set of dogs
Set B is a subset of set A because any dog is an animal. In other words, any individual in set B is also in set A, but not the other way around.
------------
Going back to the calendar example, the set of holidays is a subset and it's also a proper subset of all the days in the year. We say that set B is a proper subset of set A if B has less items in it compared to A.
If we had these two sets
A = {1,2,3,4,5,6}
B = {1,2,3}
We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A. The only time we have a subset and not a proper subset is when we talk about the set itself. Any set is a subset of itself (not a proper subset of itself).
The True statement is
Yes, holidays are a subset and proper subset of the calendar year.
What is Set?Sets are represented as a collection of well-defined objects or elements that are consistent from one person to the next. A capital letter represents a set. The cardinal number of a set is the number of items in a finite set.
The order of a set determines the number of elements in the set. It refers to the size of a set. The order of the set is often referred to as the cardinality.
The set of days in the calendar year spans from Jan 1st to Dec 31st.
The set of holidays is a subset of the previously described set. Any holiday can be found on the calendar, however not every day is a holiday.
let Set B is a Proper subset of set A if it contains fewer elements than A.
So, A = {1,2,3,4,5,6}
B = {1,2,3}
We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A.
So, holidays are a subset and proper subset of the calendar year.
Learn more about Set here:
https://brainly.com/question/8053622
#SPJ3
what are the 3 basic steps to writing equations
Answer:
Putting things in the right place
Reading the question
Using the correct symbol
Step-by-step explanation:
Putting things in the right place is very important
Example: 2+2=4
If I accidently did 2+4=2 then the answer would be incorrect.
Reading the question
You could read a question wrong in an exam so you may answer incorrectly, so if you finished the exam then always check your answers
Using the correct symbol is important because you could know the answer but write the wrong symbol and not get the mark
I hoped this helped!
Determine the equation of the line perpendicular to y = 1/5x – 7 and passes through the point (-3,6).
Answer:
y = -5x - 9
Step-by-step explanation:
y = -5x + b
6 = -5(-3) + b
6 = 15 + b
b = -9
How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below and round your answer to the nearest cent.) A(t) = P▪︎e^rt
Answer:
600[tex]e^{10*.04}[/tex]
$895.09
Step-by-step explanation:
Which is greater, 2 miles or 1,000 yards? How much greater? Explain. Of 2 miles and 1,000 yards, _____ is greater. Since 2 miles is the same as _____ yards, _____ is __ yards greater than _____ .
Answer:
yards
Step-by-step explanation:
Answer:
Which is greater, 2 miles
1 mile = 1760 yards
2 miles = 2 * 1760
2 miles = 3,520 yards
How much greater?
3,520 - 1000 = 2520 yards
Line A (y=4x+2) is transformed into Line B (y=x+5). Which best describes the new slope and y-intercept?
Answer:
The new slope is 1 and the line is shifted flatter.
Step-by-step explanation:
Line A slope is 4.
Line B slope is 1.
The y-intercept rose up 3
As far as slope, it became flatter because the line only rises 1 'square' for every 1 'square' it travels to the right. It was rising 4 'squares' for every 1 to the right.
A helicopter is 665 feet above the ground. A girl is looking up at the helicopter to form a line. Her line of sight is 5 feet off the ground. The distance between the girl and the helicopter is 280 feet.
Answer:
67
Step-by-step explanation:
we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle
opposite side = 665 - 5 = 660
adjacent side = 280
tan = opposite / adjacent
[tex]tan^{-1}[/tex] (660/280) = 67
Answer:
67
Step-by-step explanation:
I took it on EDG
The focus is the point inside a _____________ that helps determine the shape of the curve.
1.vertix
2.parabola
3.directrix
4.quadratic
The focus is the point inside a parabola that helps determine the shape of the curve.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
We have,
A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.
One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.
The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.
This property allows us to use the focus and directrix to determine the shape and location of the parabola.
Thus,
The focus is the point inside a parabola that helps determine the shape of the curve.
Learn more about parabola here:
https://brainly.com/question/21685473
#SPJ2
For EASY BRAINLIEST!!!
Answer 6. 7. 8. 9. !!
Please help I’m going to fail!
Answer:
Step-by-step explanation: 6 29 7 42
6) a number x increased by -18
x + (-18)
or x - 18
7) x subtracted from its reciprocal
1/x - x
8) two numbers have the sum of 11, one number is q find the other
x + q = 11
x + q - q = 11 - q q - q = 0
x + 0 = 11 - q
x = 11 - q
9) six is added to 4 times a number equals 42, find the number
( I don't know the six steps discussed in class. This is how I would do it)
6 + 4x = 42
6 - 6 + 4x = 42 - 6 isolate the variable, - 6 from both sides
0 + 4x = 36 6 - 6 = 0, 43 - 6 = 36, solve for x
4x/4 = 36/4 divide both sides by 4
1x = 36 /4 4/4 = 1
x = 9
Please help!!
The slope of a line that passes through the points (-6, w) and (-10, 4) ls 1/8. What is the
value of w?
Answer:
[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]
Step-by-step explanation:
We can use slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So:
[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]
We are given that this equals 1/8. Therefore:
[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]
Solve for w. Cross-multiply:
[tex]-4(1)=8(4-w)[/tex]
Distribute:
[tex]-4=32-8w[/tex]
Isolate:
[tex]-8w=-36[/tex]
So:
[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]
