Step-by-step explanation:
Using absolute value to tell wether the sum of two integers is positive or negative.
Suppose we have a positive integer,
x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.
For any integer x, x + (-x) = 0
Given that point A is the midpoint of line segment ED, where E( -1,9) and A(4,5), what is the location of point D?
Answer:
D(9, 1)
Step-by-step explanation:
A being the midpoint means its coordinates satisfy ...
A = (E + D)/2
Solving for D, we find ...
D = 2A -E
= 2(4, 5) -(-1, 9) = (2·4 +1, 2·5 -9)
D = (9, 1)
help me pwease!!!!!!!!!
Domain is [tex]0 \le x \le 12[/tex]
Range is [tex]0 \le y \le 900[/tex]
============================
Explanation:
The smallest x can be is x = 0. The largest x can be is x = 12. This is shown as the left-most and right-most values of the graph. We could have x be anything between 0 and 12, including both endpoints, so we say the domain is [tex]0 \le x \le 12[/tex]. Recall the domain is the set of all allowed x inputs of a function.
---------------------
The range is the set of all possible y outputs. The smallest y output possible is y = 0, and the largest is y = 900. The range is therefore [tex]0 \le y \le 900[/tex] meaning y is between 0 and 900, including both endpoints.
Both domain and range endpoints happen to be at the x and y intercepts. This won't always be the case.
A sample of 100 consumers shows that the average amount spent annually on a debit card is $8000. And assume that the population standard deviation of debit card expenditure is $500. Construct a 95% confidence interval of the population mean amount spent annually on a debit card.
Answer:
The confidence interval is ($7902, $8098)
Step-by-step explanation:
The formula for confidence interval of a normal distribution is given as:
Confidence Interval = μ ± z × σ/√n
Where:
μ is the mean amount spent annually = $8,000
σ is the standard deviation = 500
n is the number of samples = 100 customers
z = 95% confidence interval = 1.96
Confidence Interval = $8000 ± 1.96 ×500√100
= $8000 ± 1.96 × 500/10
Confidence Interval = $8000 ± 1.96 × 50
= $8000 ± 98
= $8000 - 98 = $7902
= $8,000 + 98 = $8098
Therefore, the 95% confidence interval of the population mean amount spent annually on a debit card = ($7902, $8098)
Anyone know the answer to this, will mark as brainlist
Answer:
15
Step-by-step explanation:
adding 15 black beads gives you 16 black beads and 4 white beads
16/4 =4/1 or 4:1
please help asap! Which of the following statements is not true?(1 point) Every real number is also a complex number. For a complex number written in the form a+bi, the value of a is called the real part of the complex number. A complex number is a number that can be written in the form a+bi where a and b are real numbers. In order for a+bi to be a complex number, b must be nonzero.
Answer:
last statement is false
Step-by-step explanation:
g) 145
Let's convert each of the following binary numbers into decimal number
a) 11, b) 101, c) 110 d) 1010
e) 1100
f) 10010,
g) 11111, h) 111010, i) 111001, 1 1100101
5. Let's convert each of the following decimal numbers into binary numbers.
a) 7
b) 18
c) 25
d) 72
e) 99
f) 124
h) 216 i) 308
i) 417
6. Let's convert each of the following quinary numbers into decimal numbers.
a) 13.
b) 24, c) 32
e) 203,
f) 340,
g) 1203, h) 2113 i) 1234, i) 4444
7. Let's convert each of the following decimal numbers into quinary numbers.
a) 9
b) 13
c) 27
e) 126
f) 212
h) 670 i) 1126 1 4025
d) 120,
d) 55
g) 512
Answer:
To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.
So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.
now you can calculate the answers yourself!
To convert decimal into binary, you can use the following approach:
Write down the answer from right to left
A. if your number is odd, write down a 1, if it is even, write a 0
B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)
C. repeat step A until your number is 0.
example:
18 -> write down 0
18/2 = 9 -> write down 1
9/2 = 4 -> write down 0
4/2 = 2 -> write down 0
2/2 = 1 -> write down 1
1/2 = 0 finished
The result is 10010.
Find the area of the circle if the circumference is 6π inches.
Answer:
Area = Pi x Radius^2
Diameter = Circumference / Pi
= 6Pi / Pi
= 6
Radius = Diameter / 2
= 6 / 2
= 3
Area = Pi x 3^2
= 9Pi square units.
Step-by-step explanation:
Hey there! I'm happy to help!
To find the area, we square the radius and multiply it by π.
We have the circumference. The circumference is the diameter multiplied by π. Since the circumference is 6π, the diameter is 6.
The radius half of the diameter, so it is 3.
Now, we find the area.
We square 3
3²=9
And we multiply by π, so our area is 9π inches squared.
Have a wonderful day! :D
CA-Algebra 1 (S1 20-21)
Creating a Situation for a Graph
Janelle's Trip Home
Based on the graph, which statement could describe
Janelle's trip home from school?
O Janelle waited for the bus, rode the bus, and then
walked home
Distance from Home (mi)
O Janelle walked the opposite direction from home to
the library, rode the bus, and then walked to a
friend's house.
O Janelle walked home at a constant speed.
O Janelle rode the bus to the bus stop, talked with a
friend, and then walked home.
Time (min)
US 17:28
ivity
Answer: She rode the bus to the bus stop talked with a friend and then walked home.
Answer: D
Step-by-step explanation:
Answer:
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
What is the mixed number for (91/5?)
Answer:
18 1/5
Step-by-step explanation:
somebody please help me on this!!
=======================================================
Explanation:
See the attached image below to see one way you could draw the diagram based on the given info. The drawing is not to scale.
The color coded angles hopefully let you see which angles are congruent to one another
Angle EXB = Angle DXE (in red) Angle CXD = Angle DXB (in blue) Angle AXC = Angle CXB (in green)These three pairs of congruences are possible because of the angle bisections that occur.
Since EXB is 20, this means DXE is 20 as well. They combine to 20+20 = 40, which is the measure of angle DXB (angle addition postulate).
Angle DXB is congruent to CXD, so both are 40 and they combine to 40+40 = 80. This is the measure of angle CXB.
Finally, angle CXB = 80 doubles to 160 which is the measure of angle AXB. Or you could say
angle AXB = (angle AXC) + (angle CXB) = 80 + 80 = 160.
Learning
Diagnostic
Analytics
See your levels
What is the area of the triangle?
7 ft.
4 ft.
6 ft.
square feet
Answer:
Area of the triangle = 12 square feet
Step-by-step explanation:
Area of a triangle is calculated by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
From the picture attached,
Height of the given triangle = Vertical distance of the top vertex = 4 feet
Base of the triangle = 6 feet
Area of this triangle = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 square feet
Therefore, area of the given triangle will be 12 square feet.
Solve the equation (show work if possible)
Answer:
-10 is right answer
Step-by-step explanation:
see in attached picture
hope it helped you:)
Answer:
[tex] \frac{r}{2} + 2 = - 3[/tex]
[tex] = ) \frac{r + 4}{2} = - 3[/tex]
[tex] = )r + 4 = - 6[/tex]
[tex] = )r \: = - 6 - 4[/tex]
[tex] = )r \: = - 10[/tex]
Maria and Ming start at the same point and drive in opposite directions. Maria drives 48 mph and Ming drives 50 mph. How far apart will they be in 2 hours?
Answer:
196metres
Step-by-step explanation:
Maria drives 48 mph and Ming drives 50 mph.
We were told to find How far apart will they be in 2 hours which means that what distance have Maria and Ming passed in total.
Let us calculate how far did Maria go for 2 hours.
Which is
Velocity v = distance s/ time t
V= S1/t
48=s/2
S1= 96metres
Then we calculate how far did Ming go for 2 hours
v= S2/t
50=s/2
S2= 100metres
The total distance between them in two hours is (S1+S2)=96+100
=196metres.
Hence,they were 196 metres apart in 2 hours
Find the area of the polygon with the given vertices. J(-3,4), K(4,4), L(3,-3)
Answer:
A = 24.5 square unitsStep-by-step explanation:
[tex]J(-3,\,4)\ \ \implies\ y_J=4\\\\K(4,\,4)\ \ \implies\ y_K=4\\\\y_K=y_J\ \ \implies\ JK\parallel X{-}axis\ \implies\ H=|y_L-y_K|\quad\ \{for\ JK=base\}\\\\H=|-3-4|=|-7|=7\\\\\\ JK\parallel X{-}axis\ \implies\ B=JK=|x_J-x_K|=|-3-4|=7\\\\\\A=\frac12BH\\\\A=\frac12\cdot7\cdot7=24.5[/tex]
What is the value of 12 (8 + 9)?
Answer:
204
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Parenthesis
12(17)
Step 2: Multiply
204
Answer: 204
Step-by-step explanation: Following your order of operations, you should simplify what's inside the parenthses first. So (8 + 9) simplifies to 17.
Bring down your 12 and you have 12(17) which equals 204.
What scale factor would make circle A the same size as circle B? 1) The radius of circle A is 2 cm and the radius of circle B is 12 cm. 2) The radius of circle A is 4 cm and the radius of circle B is 3 cm. 3) The diameter of circle A is 20 cm and the radius of circle B is 5 cm. 4) The radius of circle A is 4 cm and the diameter of circle B is 20 cm.
Step-by-step explanation:
1) area of B = [tex]\pi r^{2}[/tex] = [tex]\pi* 12^{2}[/tex] = 452.4 cm^2
area of A is = [tex]\pi r^{2}[/tex] = [tex]\pi* 2^{2}[/tex] = 12.6 cm^2
A will be scaled 452.4/12.6 = 36 times
using the same method we can say that
2) 0.56 times
3) 0.063 times
4) 6.25 times
Answer:
Step-by-step explanation:
Area of circle = πr²
The scale factor A:B is as follow
1) 2:3
2) 16:9
3) 25:4
4) 4:25
find the area of a cicle
with Radius 7cm using pie
Answer: 153.94cm
Step-by-step explanation:
Answer:
A = 49 cm ²
Step-by-step explanation:
A = πr²
= 22/7 * 7 *7
= 49 cm²
Which term describes any number that cannot be expressed as a simple fraction?
real number
whole number
rational number
irrational number
Answer:
rational numbers are the number which can not expressed into simpler fraction
Help please, 1-8n-8= -7n-6n-12?
Answer:
[tex]\Huge \boxed{n=-1}[/tex]
Step-by-step explanation:
[tex]1-8n-8= -7n-6n-12[/tex]
Combining like terms.
[tex]-8n-7= -13n-12[/tex]
Adding 13n and 7 to both sides.
[tex]-8n+13n=-12+7[/tex]
[tex]-5n=5[/tex]
Dividing both sides by -5.
[tex]n=-1[/tex]
Write each polynomial in standard form. identify the leading coefficient.
Please explain step-by-step.
What is 40% of 60?
40 x 60 / 100 and you get 24.
each 20% is 12
What do the expression (3³) and (3⁴) have in common?
Answer:
Both terms have the same base.
Step-by-step explanation:
While they share the same base, 3, their powers differ (one to the cube, and the other to the quartic).
━━━━━━━☆☆━━━━━━━
▹ Answer
Both of them have the same base.
▹ Step-by-Step Explanation
The exponential quantity differs, but 3³ and 3⁴ both have the same base number of 3.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?
Answer: (-5,0)
Step-by-step explanation:
-4x + 5y = 20 the x intercept is when y is zero so input zero into the equation and solve for x.
-4x + 5(0) = 20
-4x = 20
x = -5
Kyle lives in a state that has 6% sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables
Answer:
t = 0.06c
Step-by-step explanation:
Given the following :
Percentage sales tax on items = 6%
Cost of item = c
Amount of sales tax on item = t
Amount of sales tax is the product of the sales tax percentage and the cost of item purchased
Hence, Amount of sales tax;
t = 6% × cost of item (c)
t = 0.06 × c
t = 0.06c
The simplest form of
[tex]4 \sqrt{576} [/tex]
Answer:
96.
sqrt(576) is 24.
And 24 x 4 = 96.
Hope this helps!
96
Step-by-step explanation:4√576 =
= 4√2⁶ₓ3²
= 4√(2³)²ₓ3²
= 4ₓ8ₓ3
= 32ₓ3
= 96
In the diagram, points Q, R, S and T are collinear and PR = RS. IF RS = 12 and RT = 30, find
a) QR
b) ST
c) QS
d) QT
Answer:
QR=12
ST=18
QS=24
QT=42
Step-by-step explanation:
The question tells us that PR is congruent to RS. But there's no point P in the line. So, I'm going to assume it's a typo and that they meant point Q.
So, we know that QR is congruent so RS. RS is 12 and RT is 30. With that information, we can find the other lengths:
1) QR
Since QR is congruent to RS and RS is 12, this means that QR is also 12.
2) ST
We know that RT is 30. RT is made by adding up RS and ST. In an equation, this is:
[tex]RT=RS+ST[/tex]
We know that RT is 30 and RS is 12. Thus, substitute:
[tex]30=12+ST\\ST=18[/tex]
Thus, ST is 18.
3) QS
QS is the length of QR plus RS. Since QR is 12 and RS is also 12, QS is 12+12 or 24.
4) QT is the length of the entire segment. The entire segment can be written as:
[tex]QT=QR+RT[/tex]
And since we already know that QR is 12 and RT is 30:
[tex]QT=12+30\\QT=42[/tex]
QT is 42.
Renee wants to put a fence around her
square garden that has an area of
6,500 square feet. Determine the
perimeter of the garden to the nearest
tenth of a foot.
Answer:
perimeter = 322.5 ft ( to the nearest tenth of a foot)
Step-by-step explanation:
Length the length of the sides of the square be L
Area of a square = L²
∴ 6,500 = L²
L = √(6,500)
L = 80.6226
Next Let us calculate the perimeter
Perimeter of a square = L + L + L + L = 4L
perimeter = 4 × 80.6226
Perimeter = 322.4904 ft
perimeter = 322.5 ft ( to the nearest tenth of a foot)
N:B rounding to the nearest tenth of a foot is same as rounding to 1 decimal place.
Ques 1 : Simplify the following 2*2 42128 33+23 16+3 416 89 * 73 315- 216
Answer:4,42128,56,19,416,6497,99
Step-by-step explanation:
The lengths of a certain species of fish were found to be normally distributed. The mean length is 73 cm with a standard deviation of 8 cm. In a school of 480 of these fish, about how many would be longer than 57 cm?
Answer:
251
Step-by-step explanation:
Given - Mean length of fish = μ= 73 cm
SD σ =8 c m
Number of fish having a length greater than 57 cm out of 480.
Find the value of z at x = 57
[tex]z= \frac{x-\mu}{\sigma} = \frac{57-73}{8}\\=\frac{-16}{8} = -2[/tex]
Area between z = − 2 and z = ∞
= Area between z = − 1 and z = 0 +
Area between z = 0 and z = ∞
=0.02275+0.5= 0.52275
Therefore number of fish having teeth greater than 57 cm
= 0.52275*480 = 5.2275*48 = 250.92 ≅251
5. If the area of a rectangular field is 21x - 7x and one of its sides is 7x, what is its other side?
Answer:
21x-7/7x
=7x(3x-1)/7= 3x-1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
To find the area of a rectangle, you must multiply its length with its width.
We know that either the length or it's width is 7x.
To find the length of the other side, we essentially have to figure out what 7x you to be multiplied by to get 14x (21x-7x can be simplified to that by combining like terms)
To reverse multiplication, we can use division.
Let's set up the following expression:
14x/7x
2x/x
2
The length of its other side is 2.