Answer: -5^3
Step-by-step explanation:
Write the equation in the point slope form for the line that contains the points (-2,-3), (4,3)
Answer:
Answer is 4 I think!!
Find the greatest common factor of these two expressions.
28xy8v7 and 14x6v3
9514 1404 393
Answer:
14xv^3
Step-by-step explanation:
Coefficients are 28 and 14, which have a GCF of 14.
x exponents are 1 and 6, so the GCF is x^1 = x
y exponents are 8 and 0, so the GCF is y^0 = 1
v exponents are 7 and 3, so the GCF is v^3
The GCF of the two terms is the product of the factors just found:
14xv^3
What is the difference between opposites and integer
Answer:
An integer is any positive whole number or its opposite. Here, opposite means sign. So a positive integer has a negative opposite and vice versa
Step-by-step explanation:
-5 and 5 are an example.
solve this equation and show work.
5(c-8)-3(2c+12)=-84
I need some help with this. how many beats per minute?
The bottom row x axis) is seconds and goes to 6 seconds
Each peak is a heartbeat, there are 9 in the 6 seconds.
A minute is 60 seconds.
60 seconds / 6 seconds = 10
9 beats every 6 seconds x 10 = 90 beats per minute.
The heart rate is 90 beats per minute
solve the equation -7 x = -28
-7 x = -28
Divide both sides by -7.
x = 4
What is 5 hundreds times 10 in unit form
Answer:
it is 5000 in my guess . to you can ask me anytime
Which equation is represented by the graph?
Answer:
y = -|x + 1| - 4
Step-by-step explanation:
Your Gps shows that your friends house is 10.0 km away, as shown in the image below. but there is a big hill between your house and you dont want to bike the directly. You know your friends street is 6.0km north of your street. How far do you have to ride before turning north to get to your friends house?
Answer:
2.0km
Step-by-step explanation:
Is 66.06 a irrational number
Answer:
No.
Step-by-step explanation:
No because it can be written as a fraction, 6606/10
How would I graph this?
A box of 8 cellphones contains two yellow cellphones and six green cellphones. Complete parts (a) through (d) below.
a. If two cellphones are randomly selected from the box without replacement, what is the probability that both cellphones selected will be green?
b. If two cellphones are randomly selected from the box without replacement, what is the probability there will be one green cellphone and one yellow cellphone selected?
c. If three cellphones are selected with replacement (the first cellphone is returned to the box after it is selected), what is the probability that all three will be yellow?
d. If you were sampling with replacement (the first cellphone is returned to the box after it is selected), what would be the answers to (a) and (b)?
Probabilities are used to determine the chance of an event. The following are the summary of the solution.
The probability that the two selected cellphones are green (without replacement) is 15/28The probability that one green and one yellow is selected (without replacement) is 3/7The probability that all three cellphones are yellow (with replacement) is 1/64The probability that the two cellphones are green (with replacement) is 9/16The probability that one green and one yellow is selected (with replacement) is 3/8Given that:
[tex]n = 8[/tex]
[tex]G = 6[/tex] --- Green
[tex]Y = 2[/tex] --- Yellow
(a) Probability that the two cellphones are green (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G - 1}{n-1}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6 - 1}{8-1}[/tex]
[tex]Pr = \frac 68 \times \frac 57[/tex]
[tex]Pr = \frac{30}{56}[/tex]
[tex]Pr = \frac{15}{28}[/tex]
Hence, the probability that the two cellphones are green (without replacement) is 15/28
(b) Probability that one green and one yellow is selected (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{Y}{n-1} + \frac Yn \times \frac{G}{n-1}[/tex] ---- The subtraction means the cellphones are not replaced
This gives
[tex]Pr = \frac 68 \times \frac{2}{8-1} + \frac 28 \times \frac{6}{8-1}[/tex]
[tex]Pr = \frac 34 \times \frac{2}{7} + \frac 14 \times \frac{6}{7}[/tex]
[tex]Pr = \frac 32 \times \frac17 + \frac 12 \times \frac 37[/tex]
[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]
Take LCM
[tex]Pr = \frac{3+3}{14}[/tex]
[tex]Pr = \frac{6}{14}[/tex]
[tex]Pr = \frac{3}{7}[/tex]
Hence, the probability that one green and one yellow is selected (without replacement) is 3/7
(c) Probability that the all three cellphones are yellow (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Yn \times \frac Yn \times \frac Yn[/tex]
So, we have:
[tex]Pr = \frac 28 \times \frac 28 \times \frac 28[/tex]
[tex]Pr = \frac 14 \times \frac 14 \times \frac 14[/tex]
[tex]Pr = \frac 1{64}[/tex]
Hence, the probability that all three cellphones are yellow (with replacement) is 1/64
(d1) Probability that the two cellphones are green (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G}{n}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{3}{4}[/tex]
[tex]Pr = \frac{9}{16}[/tex]
Hence, the probability that the two cellphones are green (with replacement) is 9/16
(d2) Probability that one green and one yellow is selected (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
So, we have:
[tex]Pr = \frac Gn \times \frac{Y}{n} + \frac Yn \times \frac{G}{n}[/tex]
This gives
[tex]Pr = \frac 68 \times \frac{2}{8} + \frac 28 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{1}{4} + \frac 14 \times \frac{3}{4}[/tex]
[tex]Pr = \frac 3{16} + \frac{3}{16}[/tex]
Take LCM
[tex]Pr = \frac {3+3}{16}[/tex]
[tex]Pr = \frac {6}{16}[/tex]
[tex]Pr = \frac {3}{8}[/tex]
Hence, the probability that one green and one yellow is selected (with replacement) is 3/8
Read more about probabilities at:
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The expression 2x³+ ax² + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.
I will give brainliest to correct answer
Answer:
a = 5, b = - 13
Step-by-step explanation:
The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)
Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.
2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0
2(- 8) + 4a - 2b - 30 = 0
- 16 + 4a - 2b - 30 = 0
- 46 + 4a - 2b = 0 ( add 46 to both sides )
4a - 2b = 46 → (1)
----------------------------------------------------
Similarly when f(x) is divided by (cx - a) the remainder is f([tex]\frac{c}{a}[/tex] )
The remainder on dividing by (2x - 1) is - 35, then by substituting x = [tex]\frac{1}{2}[/tex]
2([tex]\frac{1}{2}[/tex] )³ + a([tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}{2}[/tex] b - 30 = - 35
2([tex]\frac{1}{8}[/tex] ) + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b - 30 = - 35 ( add 30 to both sides )
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b = - 5 ( multiply through by 4 to clear the fractions )
1 + a + 2b = - 20 ( subtract 1 from both sides )
a + 2b = - 21 → (2)
Solve (1) and (2) simultaneously )
Add (1) and (2) term by term to eliminate b
5a = 25 ( divide both sides by 5 )
a = 5
Substitute a = 5 into (2)
5 + 2b = - 21 ( subtract 5 from both sides )
2b = - 26 ( divide both sides by 2 )
b = - 13
According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Using the remainder theorem we can write,
f(x) = 2x³+ ax² + bx - 30
f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0
-16 + 4a - 2b - 30 = 0
4a - 2b = 46 ........ equation 1
f(x) = 2x³+ ax² + bx - 30
f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35
(1/4) + a(1/4) + b(1/2) = -35 + 30
(1+a+2b)/4 = -5
1 + a + 2b = -5 × 4
a + 2b = -21 .......... equation 2
Adding the two equations,
4a + 2b + a - 2b = 46 - 21
5a = 25
a = 25/5
a = 5
Substitute the value of a in any one of the equation,
a + 2b = -21
5 + 2b = -21
2b = -21 - 5
2b = -26
b = -26/2
b = -13
Hence, the value of a and b are 5 and -13, respectively.
Learn more about the Remainder Theorem here:
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Find the midline for f(x)=sinx+1.
a. y=0
B. y=−1
C. y=1
D. y=−2
Answer:
B Y=1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the greatest value that sin(x) + 1 can have? It isn't 1.
f(90) = sin(90) + 1
f(90) = 1 + 1 = 2
What is the smallest value that sin(x) + 1 can have? It still isn't one.
f(-90) = sin(-90) + 1
f(-90) = -1 + 1 = 0
So the midline is (2 + 0)/2 = 1
y = 1 is the answer.
Multiply (2a-5)(4a-7) Simplify your answer
[tex](2a - 5)(4a - 7)[/tex]
[tex]2a(4a - 7) - 5(4a - 7)[/tex]
[tex]8 {a}^{2} - 14a - 20a + 35[/tex]
[tex]8 {a}^{2} - 34a + 35[/tex]
Step-by-step explanation:
( 2a - 5 ) ( 4a - 7 )
2a ( 4a - 7) - 5 ( 4a - 7 )
8a² - 14a - 20a + 35
8a² -34a + 35
56-x=728+2x what's the answer?
Answer:
56-x=728+2x
1.) rearrange
[tex]56x = 728 + 2x \\ \ - x + 56 = 728 + 2x[/tex]
[tex] - x + 56 = 728 + 2 x \\ \\ - x + 56 = 2x + 728[/tex]
2.)subtract 56 on both side
[tex] - x + 56 = 2x + 728 \\ \ - x + 56 - 56 = 2x + 728 - 56[/tex]
3.) simplify
[tex] - x = 2x + 672[/tex]
4.)Subtract 2 on both sides
[tex] - x = 2x + 672 \\ \\ - x - 2x = 2x + 672 - 2x[/tex]
5.) simplify
[tex] - x - 2x = 2x + 672 - 2x \\ \\ - 3x = 2x + 672 - 2x \\ \\ - 3x = 672[/tex]
6.)divide both sides on the same equation
[tex] - 3x = 672 \\ \\ \frac{ - 3x}{ - 3} = \frac{672}{ - 3} [/tex]
7.) simplify
[tex]x = - 224[/tex]
8.) answer
[tex]x = - 224[/tex]
if u need any help, just let me know
Do the following graphs represent a mathematical function? If not, explain why.
Answer:
1 = YES
2 = NO
(7 - 1) to the 2 power plus 2 and to the 4 power - 8
The answer is 56. work is shown below.
Step 1: apply 2nd power to everything inside parentheses
(7 - 1)² = 7² - 1²
Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).
1 x 1 = 1
7 x 7 = 49
Step 3: subtract
49 - 1 = 48
Step 4: apply exponent
2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)
2 x 2 = 4
2 x 2 = 4
4 x 4 = 16
2⁴ = 16
Step 5: add
48 + 16 = 64
Step 6 (final step): subtract
64 - 8 = 56
final answer: 56
find the value of 3²×2³
Answer : 72
Step-by-step explanation:
It's above in the pic .
On a number line is 7/3 located between 2 and 3?
Answer: Yes it is.
Step-by-step explanation:
Mixed to proper
7/3 = 2 1/3
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The (Awesome) Coordinate Plane Activity
Quameer McCain
Target Practice #5
Enter an ordered pair below so that the point hits the
bullseye.
Press "Submit" to check the location of your point.
. (9,3)
Submit
• (-1, -8)
An ordered pair is simply the x-coordinate and the y-coordinate of a point.
The ordered pair of the bullseye is (4,-2.5)
From the given image (see attachment), we have:
[tex](x_1,y_1) = (9,3)[/tex]
[tex](x_2,y_2) = (-1,-8)[/tex]
The bullseye is at the midpoint of these two points.
So, the ordered pair of the bullseye is calculated using the following midpoint formula.
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
So, we have:
[tex](x,y) = (\frac{9-1}{2},\frac{3-8}{2})[/tex]
[tex](x,y) = (\frac{8}{2},\frac{-5}{2})[/tex]
[tex](x,y) = (4,-2.5)[/tex]
Hence, the ordered pair of the bullseye is (4,-2.5)
Read more about ordered pair at:
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what is the location of the circumcenter of triangle abc
Step-by-step explanation:
The circumcenter is the centre of the circumcircle. All the vertices of a triangle are equidistant from the circumcenter.In an acute-angled triangle, circumcenter lies inside the triangle. In an obtuse-angled triangle, it lies outside of the triangle.
if my answer helps you than mark me as brainliest
Study the figure and find the effort.
Please help...
Answer:
300
Step-by-step explanation:
I hope it will help you.
Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.
Answer:
$1080
Step-by-step explanation:
s=30w+750
s=30(11)+750
s=330+750
s=1080
Show two ways fivepeople cans hare a 3-segmant chewy fruit worm
Answer:
ethethe
Step-by-step explanation:
thethetht
full form of ALU please tell
Answer:
ALU stands for arithmetic logic unit. which is part of the central processing unit of a computer which performs arithmetic and logical operations.
I hope this helps
Answer:
In computer science: Architecture and organization. …of a control unit, an arithmetic logic unit (ALU), a memory unit, and input/output (I/O) controllers. The ALU performs simple addition, subtraction, multiplication, division, and logic operations, such as OR and AND.
Step-by-step explanation:
What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?
Step-by-step explanation:
Given line y=1/3x-4
slope of given line m=1/3
Slope of required line :
m=1/3
As lines are parallel then slope of lines are equal.
Using point slope form:
y-y1=m(x-x1)
p(x1,y1)=(9,8)
y-8=1/3(x-9)
3y-24=x-9
x-3y-9+24=0
x-3y+15=0
Note:if you need to ask any question please let me know.
Change each base 10 number to a binary by the division method
5
Answer:
Step-by-step exA wall is 1200 sq ft.
A gallon of paint covers 200 sq ft.
Complete the conversion factor: 1 gallon / ? sq ftplanation:
Wat is the Rational number four 3/11
Answer:
the rational numbers is 3
Which number is the largest?
Answer:
54.895
Step-by-step explanation:
hopes it's help you
