Answer:
120
Step-by-step explanation:
there is a simple way to solve these
the equation is
1 x 2 x 3 x 4 x 5
up to whatever number of objects
Answer:
There are 120 ways that 5 people can b seated if they are at a round table.
Step-by-step explanation:
What you do to find this out in a simple way is to multiply.
1 x 2 x 3 x 4 x 5 = 120
Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).
0 4x - y = -6
O x + 4y = 7
Ox - 4y = -9
O 4x + y = 2
Answer:
The answer is x + 4y = 7
Equation of a line is y = mx + c
Where m is the slope
c is the y intercept
Slope of the line between the points
(-1, 2) and (3, 1) is
Slope = 1-2/ 3+1 = - 1/4
Equation of the line using point
(-1, 2) is
y - 2 = -1/4(x + 1)
4y - 8 = - x - 1
x + 4y = 7
Hope this helps you
Which expressions are equivalent to -90 - 60w? Choose three. *Hint: On each answer choice below, use the distributive property to decide which ones match -90-60w. Also remember that -60w-90 is equivalent to -90-60w a) -30(3 + 2w) b) (-9 − 6w) x 10 c) -3(30 - 20w) d) (6 + 4w) × 15 e) −20(4.5 + 3w)
Answer:
a), b), e)
Step-by-step explanation:
a) -30(3 + 2w) = -90 - 60w
b) (-9 − 6w) x 10 = -90 - 60w
c) -3(30 - 20w) = -90 + 60w
d) (6 + 4w) × 15 = 90 + 60w
e) −20(4.5 + 3w) = -90 - 60w
Three congruent isosceles triangles $DAO$, $AOB$ and $OBC$ have $AD=AO=OB=BC=10$ and $AB=DO=OC=12$. These triangles are arranged to form trapezoid $ABCD$, as shown. Point $P$ is on side $AB$ so that $OP$ is perpendicular to $AB$.
Point $X$ is the midpoint of $AD$ and point $Y$ is the midpoint of $BC$. When $X$ and $Y$ are joined, the trapezoid is divided into two smaller trapezoids. The ratio of the area of trapezoid $ABYX$ to the area of trapezoid $XYCD$ in simplified form is $p:q$. Find $p+q$.
Answer:
p+q = 12
Step-by-step explanation:
Let's draw the diagram obtained from the given information. Find attached the diagram.
When X and Y divides the line AD and line BY into half respectively, the diagram splits into two trapezoid.
See attachment for diagram.
Ratio of area ABYX to XYCD = p:q
p+q = ?
Area of trapezoid = ½(base 1 + base 2)height
For trapezoid ABYX:
Base 1 = AB = 12, Base 2 = XY
Using Pythagoras theorem to find height of ∆AOB
AO² = AP² + PO²
PO² = (10²-6²) = (100-36)
PO = √64 = 8
height of trapezoid ABYX =h = ½ PO
= 8÷2 = 4
base of triangles in trapezoid ABYX:
base² = 5² -4² = (25-16)
base = √9 = 3
XY = 12+3+3 = 18
Area of trapezoid ABYX = ½(AB + XY)height
= ½(12+18)×4
= ½(120) = 60
Area of trapezoid XYDC = ½(XY + DC)height
Height of both trapezoid = ½ PO = 4
base of triangles in trapezoid XYCD = 3
DC = 3+18+3 = 24
= ½(18+24)×4
= ½(168) = 84
Ratio of both areas
p:q = 60: 84
p:q = 5:7
p+q = 5+7
p+q = 12
Michael Can skateboard 100 feet in 5.4 seconds how fast can Michael skateboard in miles per hour?
Each person in a community was asked, "What is your favorite type of pet?" The pie chart below summarizes their responses.
(a) Which category was chosen by approximately one-third of
the community?
Bird
C
Fish
Bird
(b) Approximately what percentage of the community chose Cat
or Dog?
Write your answer as a multiple of 10% - that is, 10%, 20%,
30%, ...
None
Other
Dog
(c) If 15% of the community chose Fish, approximately what
percentage chose Other?
Cat
2%
5%
33%
45%
5
?
Answer:
(a) Bird
(b) 40%
(c) 7%
Step-by-step explanation:
The pie chart is attached below.
Approximate the portion of each type of pet as follows:
Fish ≈ 15%
Bird ≈ 33%
Dog ≈ 17%
Cat ≈ 23%
Other ≈ 7%
None ≈ 5%
(a)
The pet category "Bird" was selected by approximately one-third of
the community.
(b)
The proportion of the community that chose Cat was, 23%.
The proportion of the community that chose Dog was, 17%.
So, the proportion of the community that chose Cat or Dog was:
Cat% + Dog% = 23% + 17%
= 40%
(c)
The proportion of the community that chose "Other" was approximately 7%.
PLEASE HURRYYYYYYYYYY!!!!!!!!
In OD, AB = CB and marc CE - 52. Find mZBCE. (See picture)
Answer:
A. 109
Step-by-step explanation:
We know that since AB = CB, then ΔABC is isosceles.
Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.
Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.
∠BCE = ∠DCB + ∠BCA
∠BCE = 64 + 45 = 109°
The answer is thus A.
~ an aesthetics lover
PLEASE HELP! DUE BY MIDNIGHT!
Answer:
it's over already? or what?
(80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green.
Answer:
X = 1, 2.
Step-by-step explanation:
In the sample space, the most greens you can get are 2. The only other thing with green would be one green in the pair. So, the random variable for picking an outcome of green would be X = 1, 2.
Hope this helps!
Can you find the missing segment to the triangle in the image
Write all the names of the quadrilateral shown.
Answer:
see explanations
Step-by-step explanation:
The given figure has four equal sides, and all adjacent sides are perpendicular to each other.
Quadrilateral is a any figure with four sides.
Particular quadrilaterals have specific names.
A square is a quadrilateral with equal sides, each perpendicular to the adjacent side, as shown in the figure.
A rectangle is a quadrilateral of which all sides are perpendicular to the adjacents. Therefore opposite sides are equal. Adjacent sides MAY or MAY NOT be equal. Therefore a square is also a rectangle.
A rhombus is a quadrilateral of which all four sides are equal, but adjacent sides MAY or MAY NOT be perpendicular. Therefore a square is also a rhombus.
A trapezoid (or trapezium, depending on which side of the atlantic you live) is a quadrilateral with AT LEAST one pair of parallel sides. The other pair may or may not be equal, may or may not be parallel. Therefore a square is also a trapezoid (trapezium).
A quadrilateral is any plane figure with four sides, which may or may not be parallel, may or may not be equal, and adjacent sides may or may not be perpendicular. Therefore a square is also a quadrilateral.
So the given figure could be given all six possible names indicated in bold. However, the name square is most specific.
Find the missing length indicated.
Answer:
It will be 35 inches sq
Step-by-step explanation:
The values of x is 120.
What is Pythagoras theorem?A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
in ABC
AC²= AB² + BC²
289²= AB² + BC²........................(1)
In ABD
AB²= AD² + BD²
AB²= 225² + x²
In BCD
BC²= CD² + BD²
BC²= 64² + x²
Put the values in (1)
289²= 225² + x² + 64² + x²
2x² = 28800
x= 120
Learn more about Pythagoras theorem here:
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Suppose you roll a number cube. What is the theoretical probability of rolling a 5?
Answer:
1/6
Step-by-step explanation:
There are 6 possible outcomes when you roll a die
1,2,3,4,5,6
P(5) = number of outcomes with a 5/ total outcomes
=1/6
Consider the graph of the linear function h(x) = –6 + h(x) equals negative 6 plus StartFraction 2 Over 3 EndFraction x. x. Which quadrant will the graph not go through and why?
Answer:
2nd quadrant.
Step-by-step explanation:
The given function is
[tex]h(x)=-6+\dfrac{2}{3}x[/tex]
We need to find the quadrant from which the graph of function is not passing.
At x=0,
[tex]h(0)=-6+\dfrac{2}{3}(0)=-6[/tex]
So, y-intercept is (0,-6).
At h(x)=0,
[tex]0=-6+\dfrac{2}{3}x[/tex]
[tex]6=\dfrac{2}{3}x[/tex]
[tex]18=2x[/tex]
[tex]9=x[/tex]
So, x-intercept is (9,0).
It means the graph intersect negative side of y-axis and positive side of x-axis. When we join these two points, we get the graph is not passing through the 2nd quadrant.
Therefore, the required quadrant is 2nd quadrant.
Answer:
Quarderant 2
Step-by-step explanation:
Brainliest, please?
Write an equation of a ine in slope-intercept form that passes through a point (4,-6) and has a slope of -3.
Answer:
y= -3x +6
Step-by-step explanation:
slope-intercept form:
y=mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -3, m= -3.
Susbt. m= -3 into the equation:
y= -3x +c
Since the line passes the point (4, -6),
(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.
y= -3x +c
when x=4, y= -6,
-6= -3(4) +c
-6= -12 +c
c= 12 -6
c= 6
Hence, the equation of the line is y= -3x +6.
The sum of all the interior angles in a triangle is blank degrees.
Answer:
180 degress
Step-by-step explanation:
triangles always add up to 180
expression
equation
formula
identity
inequality
term
factor
multiple
Choose only two words from the box above to make this statement correct.
8y is a _____in the_____7x + 8y
Answer:
Term
Expression
Step-by-step explanation:
8y is a term in the expression
7x + 8y
There are two terms in the expression 7x + 8y
First is 7x
Second is 8y
7 and 8 are coefficient of x and y respectively
7x+8y is an expression because there is no equality sign(=), it doesn't equate to any value.
Unlike an equation that has the Equal to sign(=)
There are three basic types of expression:
1. Arithmetic expression
2. Character expression
3. Logical or relational expression
ols help and hurry ASAP Find m4+ 1/m4 , if m− 1/m =3.
Answer: 257/16
Step-by-step explanation:
You are given the algebraic expression: m^4+ 1/m^4
if m− 1/m = 3
Solve for m by cross multiplying
m - 1 = 3m
Collect the likes terms
3m - m = -1
2m = -1
m = -1/2
Substitutes m into the algebraic expression above.
(- 1/2)^4 + 1/(- 1/2)^4
Open the bracket
1/16 + 1/(1/16)
1/6 + 16
16(1/16) or 257/16
Trying to find the missing segment to the triangle in the attached image.
Answer:
36 units.
Step-by-step explanation:
we will use concept of basic proportionality theorem,
it states that , when a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
In a triangle ABC
If DE is parallel to BC
D is a point on line AB and E is point on AC, then
by basic proportionality theorem)
AD/DB = AE/EC
_____________________________________
in the problem given one side has a parallel line drawn to it
Hence we can use basic proportionality theorem in it
20/30 = 24/?
2/3 = 24/?
=> ? = 24*3/2 = 36
Hence, missing segment value is 36 units.
Mathematics, Help, not sure about my answer on this one
Answer:
F. 2 1/9
Step-by-step explanation:
Step 1: Substitute q
[tex]r = 3(\frac{1}{3^n} )+2[/tex]
When you plug in n = 1, 2, 3:
n(1) = 3
n(2) = 2.11111
n(3) = 2.3333
So our answer is F.
Figure JUMP is a parallelogram. Which of these is congruent to UM?
A. JP
B. UJ
C. MP
D. UP
Question 3(Multiple Choice Worth 1 points)
(06.02 LC)
A scatter plot is shown below:
Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 10 at increments of 1 on the y axis. Scatter plot shows ordered pairs 1, 9.1 and 2, 8 and 3, 7.6 and 4, 6.1 and 5, 5 and 6, 4 and 7,4 and 8, 3 and 9, 2.5 and 10, 1.
Which two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot?
(4.5, 10) and (10, 6.5)
(0, 9.8) and (10, 1.2)
(0, 4) and (5, 0)
(0, 6) and (7, 0)
Answer:
(0,9.8) and (10,1.2)
Step-by-step explanation:
it makes the best line
The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).
Option B is the correct answer.
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
To determine which two ordered pairs can be joined to draw the most accurate line of best fit for the scatter plot, we need to look for pairs of points that are representative of the overall trend in the data.
We can plot the given points and visually inspect the scatter plot to find the line of best fit.
10| o
| o
9 | o
| o
8 | o
| o
7 | o
| o
6 | o
|o
5 |o
| o
4 | o o
| o
3 | o
| o
2 | o
| o
1 | o
|____________________________
0 1 2 3 4 5 6 7 8 9 10
From the scatter plot, we can see that there is a general downward trend from left to right and that the points are somewhat scattered around this trend.
One possible way to draw the line of best fit is to connect the points (0, 9.8) and (10, 1.2).
This line represents the overall trend in the data and passes close to many of the given points.
Therefore,
The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).
Learn more about scatterplots here:
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How many integers lie between:
-1.25 and 2.6
Answer:
4
Step-by-step explanation:
An integer is a number that is not a decimal or a fraction.
The integers that lie between -1.25 and 2.6 are -1, 0, 1, and 2. They are all numbers with no decimal or fraction.
So, there would be 4 numbers that lie between -1.25 and 2.6.
Answer:
1
Step-by-step explanation:
(Will mark brainliest if corret.)
Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants to save. What is 0.4% written as a decimal?
Answer:
0.4% = 0.40 or 0.4
A trader claims that the proportion of stocks that offer dividends is different from 0.14. If the trader wants to conduct a hypothesis test, should they use a left-, right-, or two-tailed hypothesis test to analyze whether the proportion of stocks that offer dividends is different from 0.14? Select the correct answer below: Left-tailed test Right-tailed test Two-tailed test
Answer:
The correct option is;
Two-tailed test
Step-by-step explanation:
From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14
Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;
H₀: Null hypothesis (no difference, or no change)
H₁: μ ≠ μ₀ which is hypothesizing difference which is known as a two-tailed test
The confidence level is then selected and the test statistic is calculated
PLEASE HELP!!!
1) Points: A, B, C, and D are the vertices of a square in the coordinate plane. Give possible coordinates for A, B, C, and D.
2) How do you know your points form a square without plotting the points?
3) Describe a real-world square that your points could represent.
Answer:
(1,1)(2,1)(1,2)(2,2) They create a square because there is an equal distance between adjacent points. They could reperesent a 1x1 square.
Step-by-step explanation:
:)
What point is a solution to the inequality shown in this graph
Answer: A
Step-by-step explanation:
The solution to the graph of inequality given above is the shaded portion or the shaded part of the graph.
Since the point ( -3, -3) and ( 3, -1 ) are on the point line, and the line is a broken line, the inequality means greater than. That means that solution must be greater than those point. They are therefore not part of the solution.
Point ( 5, -5), where x = 5 and y = -5, according to the graph, the shaded portion does not cover y at -5.
Option C is therefore the correct answer which is within the shaded portion. (1, 5)
What is the maximum possible number of unique zeros for the
function
F(x)= ax 5 +bx+cx-1?
3
4
10
5
Answer:
5 zeros maximum
Step-by-step explanation:
Recall that a polynomial has as many roots (zeros) in the Complex number system, as its degree. So in the given case, where the leading term of the polynomial carries order 5, the maximum number of zeros for the given function cannot be larger than 5.
1. Label and display your new polynomial identity 2. Prove that it is true through an algebraic proof, identifying each step 3. Demonstrate that your polynomial identity works on numerical relationships (x + y)* (x^2 + 2xy + y^2) the new polynomial
Answer:
(ax+b) (x+a)
Step-by-step explanation:
Which points lie on more than one plane?
O A ands
X and Y
O Mands
M and R
Answer:
x and y
Step-by-step explanation:
x and y are on the intersection of the 2 planes, meaning they lie on more than 1 (two) planes.
If we're being technical, it's all of them, because an infinite amount of planes go through 2 points.
Which distribution is positively skewed?
Answer:
D
Step-by-step explanation:
not positive but i think it would be D
Option C is the distributions are positively skewed.
Since, A distribution that is positively skewed would have the following highlights:
More points on the left, if represented on a dot plot
Tall bars on the left, if represented on a histogram
Whisker on the left, if represented on a box plot
The above means that none of the distributions are positively skewed.
This is so because:
A is negatively skewed because the whisker is at the right
B and C are symmetrical because there are tall bars at the middle
D is positively skewed because the whisker is at the left.
Hence, Option D is the distributions are positively skewed.
Read more about skewness at:
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