Answer:
D.(1,-1)
Step-by-step explanation:
A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both
Answer:
D. 1, -1
Step-by-step explanation:
Trust me g
What is the cost of an $8,000 car including 5½% tax?
Answer:
Car Price:
$8,000.00
Interest Paid:
$492.48
Sales Tax:
$448.00
Total Cost:
$8,940.48
A team of 15 soccer players needs to choose a captain and a co-captain. Is this an example of permutations or combination. Then find the number of possiblities.
Answer:
Permuation; 210 possibilites
Step-by-step explanation:
With permutations we care about the order of the elements, whereas with combinations we don’t. For this question order matters, because you have two different positions you want to fill (captain, and co-captain).
This would be written as 15p2
To find the number of possibilities we want to use the permuation equation.
(,)=!(−)!
P=permutation
n= the set or population (15 soccer players)
r= subset (1 captain and 1 co-captain, total of 2)
(,)=(15,2)
=15!(15−2)!
= 210
If u are confused about !(factorial) in the equation here is a quick explanation
Many calculators have a factorial key (look for the ! symbol). This function of the calculator will automate the multiplications, but if you do not have a calculator that can compute factorials you just have to go like this
1! = 1
2! = 2 x 1 = 2
3! = 3 x 2 x 1 = 6
4! = 4 x 3 x 2 x 1 = 24
5! = 5 x 4 x 3 x 2 x 1 = 120
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
etc
Hope this helps!!
The number of possibilities in choosing captain and co-captain are 210 ways.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, a team of 15 soccer players needs to choose a captain and a co-captain.
Number of captains can be choose from 15 players.
Number of co-captains can be choose from 15-1=14 players.
So, the number of possibilities= 15×14
= 210 ways
Therefore, the number of possibilities in choosing captain and co-captain are 210 ways.
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310
Which law would you use to simplify the expression
quotient of powers
power of a quotient
product of powers
power of a product
power of a quotient
edge 2021
The law used to simplify the expression is quotient of powers.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,
3¹⁰ / 3⁴
For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.
By the definition we have the property of the power quotient of the same base set:
xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾
So, using the same,
3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶
Thus, to simplify the expression we must use the property of the power quotient of the same base.
Hence, the law used to simplify the expression is quotient of powers.
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18
20
86
94
It’s eighth grade math
Answer:
x = 18
Step-by-step explanation:
We can use Alternate Exterior Angles Theorem to find the angle above x. It would equal 94°. We then use Supplementary Angles to find x:
5x - 4 + 94 = 180
5x + 90 = 180
5x = 90
x = 18
Answer:
I am in 6th, doing 7th grade math, but can get up to 12th grade math lol.
x = 18
Step-by-step explanation:
First step: 5x - 4 + 94 = 180
Second step: 5x + 90 = 180
Last step: 5x = 90
So, therefore, your correct answer is: x = 18
approximately 13% of the USA population is left handed. Hiw many lefties would expect in a school of 420 students
Answer:
Approximately 55 students
Step-by-step explanation:
13% of 420 is 54.6 which you can then round up to 55
Hope this helped!
Answer:
55 students
Step-by-step explanation:
Take the percent and multiply by the number of students
13% * 420
.13 * 420
54.6
Rounding up
55 students
Answer PLS !!! Need it now
Answer:
area = 25.12
Step-by-step explanation:
area of circle = pi(r)^2
area = 3.14 (4)^2 /2
area = 3.14 (16) / 2
area = 50.24 / 2
area = 25.12
Answer:
A = 78.9568350285
Step-by-step explanation:
A = TTr^2/2
A = TT4^2/2
A = 12.5663706^2/2
A = 157.913670057/2
A = 78.9568350285
A company wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 100 customers and asks them about their level of satisfaction with the company.what type of sampling method is use
Answer:
The type of sampling method used is:
Simple random sampling.Step-by-step explanation:
A simple random sampling is a method where the pollster, in this case, the company, from a finite or infinite population (the costumers in the database) takes a representative sampling (in this case 100 costumers) to apply the survey and obtain data that can be used to deduce the way of thinking of all the costumers, though to actually identify this way of thinking, the sampling must be proportional to the size of the population, on the contrary, the data obtained won't be useful to reveal the real level of the satisfaction (In this case securely the database is 10,000 costumers or less, then the sampling is at least the 1% of the population). Another characteristic is all the people in the population should have the same opportunity to be part of the sampling, this is identified in the paragraph where says that the selection was random.
Answer:
B. simple random sampling
Step-by-step explanation:
right on edge
Find the missing segment in the attached image
Answer:
The length of the missing segment is 24
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{15}{x} = \frac{15+5}{8+x}[/tex]
[tex]\frac{15}{x} = \frac{20}{8+x}[/tex]
Cross Multiply
[tex]15 * (8 + x) = 20 * x[/tex]
Open bracket
[tex]15*8 + 15 * x = 20 * x[/tex]
[tex]120 + 15x = 20x[/tex]
Subtract 15x from both sides
[tex]120 + 15x -15x= 20x-15x[/tex]
[tex]120 = 20x-15x[/tex]
[tex]120 = 5x[/tex]
Divide both sides by 5
[tex]\frac{120}{5} = \frac{5x}{5}[/tex]
[tex]\frac{120}{5} = x[/tex]
[tex]24 = x[/tex]
[tex]x = 24[/tex]
Hence, the length of the missing segment is 24
Please hurry❗️❗️❗️!!!!!!
Which expression is equivalent to a+(C+7)?
О 7ac
O a-(C+7)
O (C+7)-a
0 (a+c) + 7
Answer:
The answer is (a+c) + 7
Since addition is associative a + ( C + 7) can also be written as (a+c) + 7
Hope this helps you
Answer:
(a+c)+7
Step-by-step explanation: This method is called associative property.
On addition changing the order brings no change to the answer. For example:- 2+3=3+2. but don't confuse this with multiplication. For example, if the question was a(c+7), then you are supposed to multiply c, + and 7 by a.
Hope it would help :)
Draw a vector representing the course of a ship that goes 50 miles on a
course with direction 2400.
Answer:
The answer is below
Step-by-step explanation:
We have a vector with a magnitude of 50 miles and a direction of 240 °.
To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 240 ° is in the third quadrant (180 ° - 270 °), that is, it would be 30 ° (270 ° - 240 °) with respect to to the y axis negative.
Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 50 miles, that is, this value would be the hypotenuse.
The value on the x-axis can be calculated using the sine of the angle, like this:
sin 30 ° = x / 50
x = sin 30 ° * 50
x = 25, how is the third quadrant would be -25
Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:
y ^ 2 = 50 ^ 2 - 25 ^ 2
y ^ 2 = 1875
y = 43.3, -43.3 because it must be located in the fourth quadrant
Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (-25, -43.3).
Then I leave a sketch of what it would be:
Find the y-intercept and x-intercept of the line.
-x+4y = 8
Answer:
x-intercept(s): ( − 8 , 0 )
y-intercept(s): ( 0 , 2 )
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y.
if straykids hyunjin had 50,000 won and wanted to by lots of 45rings for 500 won how much will he have left? b) if changbin and han had 145 lightsicks and sold 75? how much lighsticks will they have now?
Answer:
a) he would have 27500 won
b) changbin and han would have 70 lightsticks
Step-by-step explanation:
a)
multiply 45 rings by 500 won to get the total expense
45 x 500 = 22500
then subtract 22500 won from 50000 to get the amount left after the purchase
50000 - 22500 = 27500
this results in 27500 won total
b)
subtract 75 from 145 to get the amount left
145 - 75 = 70
Answer:
Hyunjin has 27,500 left.
Changbin & Han have 70 lightsticks left.
Step-by-step explanation:
A) 45 × 500 = 22500 50,000 - 22500 = 27500
B) 145 - 75 = 70
What is the surface area of a cylinder
396 pi ft^2
180 pi ft^2
192 pi ft^2
252 pi ft^2
Answer:
252pi ft^2
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2 pi r^2 + 2pi rh
The diameter is 12 so the radius is 12/2 = 6
= 2 pi (6)^2 +2 pi *6*15
= 72 pi + 180pi
= 252pi ft^2
. The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.
Answer:
w = 8 inchesStep-by-step explanation:
P = 2w + 2l
l = 3 + w
38 = 2w + 2(3 + w)
38 = 2w + 6 + 2w
38 - 6 = 4w
32 = 4w
w = 32 : 4
w = 8 inches
l = 3 + w
l = 3inches + 8inches
l = 11 inches
What is the perimeter of this polygon?
(2,3)
(-4, 2)
(3,-2)
(-2, -3)
A. 25.5 units
B. 21.7 units
O C. 24.4 units
D. 22.8 units
A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden. The perimeter of his garden is meters.
Answer: 46
Step-by-step explanation:
Given that the coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5).
You need to find length GA, GD, RA and RD by using the formula
L = sqrt[ ( X2 - X1)^2 + ( Y2 -Y1 )^2 ]
Length GA will be
L = sqrt [ ( 8-3 )^2 + ( 4+8 )^2 ]
L = sqrt ( 5^2 + 12^2 )
L = sqrt(25 + 144)
L = sqrt (169)
L = 13.
Length GD will be
L = sqrt [ ( -5-3 )^2 + ( -2+8 )^2 ]
L = sqrt ( -8^2 + 6^2 )
L = sqrt(64 + 36)
L = sqrt (100)
L = 10.
Length RA will be
L = sqrt [ ( 10-4 )^2 + ( 0-8 )^2 ]
L = sqrt ( 6^2 + 8^2 )
L = sqrt(36 + 64)
L = sqrt (100)
L = 10.
Length RD will be
L = sqrt [ ( 10+2 )^2 + ( 0+5 )^2 ]
L = sqrt ( 12^2 + 5^2 )
L = sqrt(144 + 25)
L = sqrt (169)
L = 13.
The perimeter P will be
Substitute all the parameters into the formula below
P = GA + GD + RA + RD
P = 13 + 10 + 10 + 13
P = 46
If a sample consists of the following data values, what is the sample mean?
13, 91, 44, 68, 54, 16, 88, 74
Answer:
mean =sum of all data values
total number of data
13+91+44+68+54+16+88+74
8
448
8
=56
therefore the mean is 56
Answer: 51
Step-by-step explanation:
PLEASEEEE HELPP !!In each figure, a//b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer.
Answer:
No it’s not a translation
Step-by-step explanation:
No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.
Which function has the same graph as x+y= 11?
A. Ax) = -y + 11
B.
Rx) = -x + 11
C.
A x) = x-11
D.
*x) = y- 11
Answer:
the answer is b= -x+11
Answer:b
Step-by-step explanation:
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that
represents Angelo's second cut.
PLEASE HELP!
Answer:
y=5x+6
Step-by-step explanation:
Please see attached
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
the variables x and y are directly proportional , and y=4 when x=3
Answer:
4/3
Step-by-step explanation:
y = kx
4 = k(3)
4/3 = k3/3
4/3 = k
The constant proportion is 4/3.
Answer:
the correct answer is 20 just took
the test
Figure A is a scale image of figure B Figure A maps to figure B with a scale factor of 4/9 What is the value of x?
Answer:
x=36
Step-by-step explanation:
x×4/9=16
x=16×9/4=36
Find the missing length indicated.
Answer:
Step-by-step explanation:
x=✓25*9
x=✓5^2*3^2
x=5*3
x=15
Which statement about the function is true?
The graph of the function f(x) = (x - 4)(x + 1) is shown
below.
The function is increasing for all real values of x
where
x<0.
O The function is increasing for all real values of x
where
x < -1 and where x>4
6
4-
2
O The function is decreasing for all real values of x
where
-1<x<4.
The function is decreasing for all real values of x
where
x < 1.5.
2
4
6
-6-4-2
-2
X
27
4
6
Answer:
The correct option is:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
We are given a function f(x) which is a product of two linear polynomial as:
Now, we know that on multiplying the two linear polynomial we will obtain a quadratic polynomial.
So, the function f(x) will be represented as:
So, we will plot the graph of the function and check which statements about the function hold true.
1)
The function is increasing for all real values of x where x < 0.
This statement is false.
Since we get from the graph that function f(x) is decreasing for x<0.
2)
The function is increasing for all real values of x where x < –1 and where x > 4.
This option is incorrect as the function is decreasing for x<-1
whereas it is increasing for x>4.
3)
The function is decreasing for all real values of x where –1 < x < 4.
This option is incorrect.
Since, the function is both decreasing as well as increasing in the interval (-1,4).
4)
The function is decreasing for all real values of x where x < 1.5.
This option is correct.
Since it could be observed from the graph that the function is decreasing for x<1.5.
What exactly is a 'Factorial'? Give Brainlist to the finest answer
hi
It's a kind of multiplication where you do a serie of multiplication starting from your number until one. It written with a "!" after the number.
ex : 3! = 3*2*1 = 6
10! = 10*9*8*7**6*5*4*3*2*1 = 2628800
Answer:
answer is below
Explanation:
A factorial multiplies a number by the numbers below it. A factorial also acts as a function.
An example of a factorial can be:
[tex]5!=5 \times 4 \times 3 \times 2 \times 1[/tex]
[tex]5!=120[/tex]
Factorial of zero is defined as 1.
Identify the distance between points (3,8, 0) and (-2,9,-4), and identify the midpoint of the
segment for which these are the endpoints. Round to the nearest tenth if necessary
A) d-3.5 units; M(-0.5, 8.5.2)
B) d-3.5 units; M(0.5, 8.5.-2)
C) d-6.5 units: M(0.5, 8.5.-2)
D) d-6.5 units: M(-0.5, 8.5.2)
Answer: C) d-6.5 units: M(0.5, 8.5.-2)
Step-by-step explanation:
Distance between points [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex] :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
The midpoint of the line joining [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex] is given by :-
[tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\dfrac{z_1+z_2}{2})[/tex]
The given points : (3,8, 0) and (-2,9,-4)
Distance between points (3,8, 0) and (-2,9,-4):
[tex]D=\sqrt{(-2-3)^2+(9-8)^2+(-4-0)^2}\\\\=\sqrt{25+1+16}\\\\=\sqrt{42}=6.48074069841\approx6.5\text{units}[/tex]
The midpoint of the line joining (3,8, 0) and (-2,9,-4) :
[tex](\dfrac{3+(-2)}{2},\dfrac{8+9}{2},\dfrac{0+(-4)}{2})=(\dfrac{1}{2},\dfrac{17}{2},-2)\\\\=(0.5, 8.5.-2)[/tex]
Hence, the correct answer is C) d-6.5 units: M(0.5, 8.5.-2).
1) Explain the Distributive Property in your own words.
2) Give an example that shows how to use the Distributive Property to rewrite a one-variable expression.
Answer:
The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.
5(10+x)=5(10)+5(x)=50+5x
:)
Oliwia made a scaled copy of the following triangle. She used a scale factor greater than 111. What could be the height of the scaled copy of the triangle? Choose 3 answers: (A) 3 1/3 units (B) 10.5 units (C) 11.1 units (D) 18 units (E) 35 1/2 units
Answer:
C & D & E
Step-by-step explanation:
The correct options are C, D, and E.
Scaled copyA scaled copy is an enlarged image of the previously given figure.
Scale factorA scale factor is a factor by which the image is been enlarged. for example, the scale factor of 10 means each side will be multiplied by 10, resulting in a figure that is 10 times the real figure.
As given in the problem the scale factor is anything greater than 1.
We know that when we multiply 11 by 1 or a number greater than 1 the value will be the same or changed.
Therefore, the height of the scaled copy of the triangle will be anything equal to 11 or greater than 11.
Looking at the options available,
(A) 3 1/3 units
It is less than 11, therefore, not the right option.
(B) 10.5 units
It is less than 11, therefore, not the right option.
(C) 11.1 units
It is greater than 11, therefore, can be the possible option.
(D) 18 units
It is greater than 11, therefore, can be the possible option.
(E) 35 1/2 units
It is greater than 11, therefore, can be the possible option.
Thus, the correct options are C, D, and E.
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You would like to have $4000 in 3 years for a special vacation following graduation by making deposits at the end of every six months in an annuity that pays 4.5% compounded semiannually. a. Use one of the formulas below to determine how much you should deposit at the end of every six months.
Answer:
666.70 at the end of every six months.
Step-by-step explanation:
At the end of every six months deposit amount is 666.70
What is compound interest ?Compound interest is the interest paid on both principal and interest, compounded at regular intervals.
Formula of compound interest :
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
where,
A = final amount
P = initial principal
n = time in years
r = rate per annum
According to the question
Final Amount needed for a special vacation (A) = $4000
Time in years needed to collect Amount (n) = 3 years
Rate per compounded semiannually (r) = 4.5%
Substituting values in formula for six months
Now time (n) = 3 * 6 = 18 years
using formula of compound interest
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
[tex]4000 = P(1+\frac{4.5}{100} )^{18}[/tex]
[tex]4000 = P(1.045 )^{18}[/tex]
now,
P = 666.70
Hence, at the end of every six months deposit amount is 666.70
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