Answer:
exponential form = 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1
Step-by-step explanation:
256
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1
Answer:
4^4Step-by-step explanation:
[tex]2^{-7} \times2^9\times2^6\\\frac{1}{2^{7} } \times2^9\times2^6\\\frac{1}{128} \times 512 \times 64\\= 32768/128\\ = 256\\= 16^2 or\\ 4^4[/tex]
Q1: Which pairs of expressions are equivalent (Choose all that apply.) *
14 - 9 and 14 + (-9)
18-6 and -18 + 6
-7-22 and 22-(-7)
3-30 and 3 + (-30)
10 - 5 and 5 - 10
Answer:
#'s 1 and 4
Step-by-step explanation:
1.) 14-9=5 and 14+(-9)=5
2.) 18-6=12 and -18+6=-12
3.) -7-22=-29 and 22-(-7)=29
4.) 3-30=-27 and 3+(-30)=-27
5.) 10-5=5 and 5-10=-5
(-3ab - 8a + 8) - (-5ab +2)
Answer:
2ab - 8a + 6
Step-by-step explanation:
(-3ab - 8a + 8) - (-5ab +2)
(-3ab - 8a + 8) -1(-5ab +2)
Distribute -1 to the brackets.
(-3ab - 8a + 8) + 5ab - 2
Remove the brackets.
-3ab - 8a + 8 + 5ab - 2
Rearrange.
5ab - 3ab - 8a + 8 - 2
Combine like terms.
2ab - 8a + 6
Which lines have a slope of 1/2?
Answer:
c and d
Step-by-step explanation:
rise/run
for every 2 that c and d progress positive on the x-axis, it only rises 1 on the y-axis
which statement is not always true for a parallelogram PLZ HELP QUICK
A consecutive angles are congruent, B opposite angles are congruent, C diagonals bisect each other, D opposite sides are congruent
Answer:
I think option a is correct answer because consecutive angles are supplementary.
Answer:
The correct answer is A
Step-by-step explanation:
Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9? Yes, by the SAS Similarity Postulate Yes, by the SSS Similarity Postulate No, the corresponding sides are not proportional No, there is not enough info
Answer:
yes, sas
Step-by-step explanation:
12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.
The weights of professional wrestlers are approximately normally distributed with a mean of 220 pounds and a standard deviation of 7 pounds. Using the normalcdf function on your graphing calculator, approximately what percent of wrestlers have weights less than 205 pounds?
Answer:
1.6%
Step-by-step explanation:
The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as
F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x
z = (x-μ)/σ,
where:
x is the raw score = 205
μ is the population mean, = 220 pounds
σ is the population standard deviation = 7 pounds
205 -220/7
z = -15/7
z = -2.1428571429
Using the normal cdf function on your graphing calculator,the cumulative distribution is
normalcdf( -2.1428571429, 100)
= 0.01606229
In percent form = 0.01606229 × 100
= 1.6%
Which of the following is the appropriate notation when calculating
conditional probabilities?
P(
AB)
A. P(
AB) =
P(A)
o
B. P(AUB) = P(A) + P(B) - P(AB)
C. P(AB) =
P(
AB)
P(B)
D. P(
AB) = PC
PCB+ P(B) - P(AUD)
SUBMIT
PREVIOUS
Answer: P(AB) = 3/8
Step-by-step explanation:
You simply multiply P(AuB) by P(B)
3/7 * 7/8 = 3/8
Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth.
Answer:
x≈14.28
Step-by-step explanation:
cos32° = 12/x
so : x= 12/cos32° = 12/0.84 = 14.28
Which graph represents the solution to this system of inequalities? y 2x – 4 A. B. C. D.
Answer:
I mean you dont got no graph
Step-by-step explanation:
butttttt.....
The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.
Answer:
Theres no graph
Step-by-step explanation:
(-2,-11);slope=4 write the equation of the line
Answer: y = 4x-3
slope = 4, y intercept = -3
=================================================
m = 4 is the slope
[tex](x_1,y_1) = (-2,-11)[/tex] is the point the line goes through
Using point slope form, we can say,
[tex]y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\[/tex]
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
------------------------
As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
------------------------
To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.
Answer:
y = 4x-3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
The slope is 4
y = 4x+b
Substitute the point into the equation
-11 = 4(-2)+b
-11 = -8+b
Add 8 to each side
-11+8 = b
-3 = b
y = 4x-3
WILL MARK BRAINLIEST! Identify and explain each example as Newton’s First, Second, or Third law of motion. I pull on the Earth because Earth pulls on me. Answer 1 Choose... The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. Answer 2 Choose... If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. HELP PLZ!!!
Answer:
1.) Newton 3rd law
2.) Newton 1st law
3.) Newton 2nd law.
Step-by-step explanation:
1.) I pull on the Earth because Earth pulls on me. This can be identified as Newton 3rd law of motion. The law state that, in every action, there must be equal and opposite reaction.
As the earth pulls on you, the reaction to that action which is equal and opposite is you pulling back on earth.
2.) The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. This can be identified by Newton 1st law of motion which state that: an object will continue to be at rest or in a linear motion except an external force act on it.
The velocity of a falling object suppose to be constant if there is no external force. But it isn’t constant because Earth’s gravity exerts a force on it.
3.) If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. This can be identified by Newton 2nd law of motion which state that: The rate of change in momentum is proportional to the applied force. Or
F = ma
Where F = applied force
M = mass of the object
a = acceleration
If air resistance is ignored,
F = mg
where g = acceleration due to gravity.
Answer:
1. Newton 3rd law
2. Newton 1st law
3. Newton 2nd law.
Step-by-step explanation:
In a cookie-eating contest, Luke ate 8 cookies in 1 minute and 30 seconds. At this rate, how many cookies will he eat in 3 minutes and 45 seconds?
Answer:
20 cookies
Step-by-step explanation:
Change from minutes and seconds to seconds
1 minute 30 seconds = 90 seconds
3 minutes 45 seconds = 3 *60 +45 = 180+45 = 225 seconds
Now we can use ratios to solve
8 cookies x cookies
------------- = -----------------
90 seconds 225 seconds
Using cross products
8 * 225 = 90x
Divide each side by 90
1800/90 = 90x/90
20 =x
The graph of f(x) shown below resembles the graph of g(x)=x^3, but it has been vertically stretched. Which of the following could be the equation of f(x)?
Answer: it’s b
Step-by-step explanation:
The table shows the distances and times between stops on a trolley line. Between which two stops did the trolley go
the slowest?
Stops
From Stop A to Stop B
From Stop B to Stop C
From Stop C to Stop D
From Stop D to Stop E
Data for a Trolley
Distance
150 meters
200 meters
360 meters
280 meters
Time
50 seconds
50 seconds
60 seconds
40 seconds
Stop A and Stop B
Stop B and Stop C
Stop C and Stop D
Stop D and Stop E
Answer:
Stop A and Stop B
Step-by-step explanation:
Data for a Trolley
Stops Distance Time
From Stop A to Stop B 150 meters 50 seconds
From Stop B to Stop C 200 meters 50 seconds
From Stop C to Stop D 360 meters 60 seconds
From Stop D to Stop E 280 meters 40 seconds
From definition: speed = distance/time
Speed From Stop A to Stop B : 150/50 = 3 m/sSpeed From Stop B to Stop C : 200/50 = 4 m/sSpeed From Stop C to Stop D : 360/60 = 6 m/sSpeed From Stop D to Stop E : 280/40 = 7 m/sFind the value of x and simplify completely. Just answer needed , not explanation
Answer:
x=(27)^2+y^2
=√729+y^2( root of 729+y^2)
= 27+√y^2
Answer:
x=9√10solution,
[tex] {y}^{2} = 3 \times 27 \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = \sqrt{ {9}^{2} } \\ y = 9 \\ \\ {y}^{2} + {27}^{2} = {x}^{2} \\ or \: {9}^{2} + {27}^{2} = {x}^{2} \\ or \: 81 + 729 = {x}^{2} \\ or \: 810 = {x}^{2} \\ or \: x = \sqrt{810} \\x = 9 \sqrt{10} [/tex]
hope this helps...
Good luck on your assignment..
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C? A. (2, -1) B. (5, -3) C. (2, -3) D. (7, -1)
Answer:
A.
[tex]Point\ C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (2,-6)[/tex]
[tex]B = (10,2)[/tex]
[tex]m:n = 5:3[/tex]
Required
Determine the coordinates of C
Since, point D divides line AB in ratio, 5 : 3;
We start by calculating the coordinates of D;
This is done as follows;
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
[tex](x_1,y_1) = (2,6)[/tex]
[tex](x_2,y_2) = (10,2)[/tex]
[tex]m:n = 5:3[/tex]
[tex]D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})[/tex]
[tex]D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})[/tex]
[tex]D(x,y) = (\frac{56}{8},\frac{-8}{8})[/tex]
[tex]D(x,y) = (7},-1)[/tex]
Since AC is vertical
Then, Point C has the same x coordinate as A
[tex]x-coordinate = 2[/tex]
Similarly;
Since CD is horizontal
Then, Point C has the same y coordinate as D
[tex]y-coordinate = -1[/tex]
Hence,
[tex]Point\ C = (2,-1)[/tex]
Answer:
Option A
Step-by-step explanation:
A. (2, -1)
What is being constructed based on the markings in the following diagram?
-Inscribed regular hexagon
-Inscribed equilateral triangle
-Parallel lines
-Perpendicular lines
Parallel lines are being constructed based on the markings in the following diagram.
What are parallel lines?When two lines never meet each other even after extending them on the either side are called parallel lines.
What are the steps to draw parallel lines?1. First we have to draw a straight line and then any point of it draw any angle.
2. After that, on the second line take a point. Copy the first angle on it.
3. Draw the line to complete the copied angle and there you have parallel lines.
Hence, the construction indicated in the diagram is of parallel lines.
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Answer ASAP PLEASE WILL MARK BRAINLIEST
Answer:
Answer should be A
Step-by-step explanation:
-7/2 divided by 49/4
Change in temperature per hour would be found by dividing the change in temperature by the amount of time.
Rewrite the numbers as improper fractions and the answer would be d.
-49/4 / 7/2
Find the distance between the points (–15, 3) and (–9, 8). A) units B) units C) units D) units
Answer:
√61
Step-by-step explanation:
d=√(x2 - x1)^2 + (y2 - y1)^2
√(-9-(-15))^2 + (8-3)^2
√61
The distance between points P(-15, 3) and Q(-9, 8) is √61 units.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
The given points are,
P(-15, 3) and Q(-9, 8).
The distance between two points A(x₁, y₁) and B(x₂, y₂)
Distance
= √(x₂ - x₁)² + (y₂ - y₁)²
To find the distance between points PQ,
Use formula
PQ = √(-9 - (-15))²+(8 - 3)²
= √(-9 + 15) ²+(5)²
= √(6) ²+(5)²
= √36 + 25
= √61
The required distance between given points is √61 units.
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suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 28 when y = 2 A. k=56, y 56/2 B. k = 14 y = x/14 C. k = 56, y = 56x D. k = 14. y = 14/x
Answer: A
Step-by-step explanation:
Given that y varies inversely with x, that is,
y ∝ 1/xyou will introduce constant k when the proportionality constant sign is changed to equality sign.y = k(1/x)when x = 28, y = 2substitute x and y into the formula to get k2 = k(1/28)open the bracket and cross multiplyk = 56substituting k back into equation givesy = 56/xoption A should be the answer. but it wasn't written clearlya baker used three fourths lb flour for rolls , five eights for donuts, and two thirds for cookies. How many pounds of flour was used total
Answer:
2 1/24
Step-by-step explanation:
you first need to convert them to the same least common denominator
the common denominator is 24
so 18/24 plus 15/24 plus 16/24
which is 49/24 which is 2 1/24
hope this helps
Express 3*(4*5) as a common fraction given a*b= ab/a+b .
Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2
Step-by-step explanation:
The common fraction for the given expression is 60/47.
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given that an expression, 3*(4*5) such that, a*b= ab/a+b
Solving the expression as per the given formula,
4*5 = 4×5/(4+5) = 20/9
Now,
3*(4*5) can be written as, 3*20/9
Therefore,
3*20/9 = 3×20/9/(3+20/9)
= 20/3×9/47
= 60/47
Hence, the common fraction for the given expression is 60/47.
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Plz help me. Geometry
Answer:
B
Step-by-step explanation:
Since opposite angles in a parallelogram are congruent, ∠B = ∠D which means:
5y + 31 = 96
5y = 65
y = 13°
Additionally, opposite sides of a parallelogram are congruent, therefore AB = CD which means:
x² - 18 = 7x
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
x = 9° or -2°
Answer:
Step-by-step explanation:
SINCE IT IS A PARALLELOGRAM,
AB=CD
and B = D
therefore x= 9, y=13
hope it helps
−5+(−5r)+10 answer plz
Answer:
-5r + 5
Step-by-step explanation:
We simply simplify by adding like terms. Only thing we can combine are the constants -5 and 10, which we get 5. So then our answer is -5r + 5.
Answer:
5(1-r)
Simplified expression 5-5r
Step-by-step explanation:
In the proportion 15/3 = v/7 , which number is equal to y in the proportion ?
Answer:
3
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
If Max is opening a bank account and he deposits $1500 and it has compound interest at a 9%, how much money will he have 8 years if the interest compounds semi-annually?
Answer:
$3,033.56
Step-by-step explanation:
(see attached for reference)
The formula for compound interest is given by
A = P [ 1 + (r/n) ]^(nt)
Where,
A = final amount (we are asked to find this)
P = principal = given as $1500
r = annual interest rate = 9% = 0.09
n = 2 (for compounding semi-annually)
t = time, given as 8 years
Substituting the above into the equation:
A = P [ 1 + (r/n) ]^(nt)
A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]
A = 1500 [ 1.045) ]^[16]
A = $3,033.56
PLEASE SOLVE! FIST CORRECT ANSWER GETS BRAINLIEST! Simplify using the distributive property: -0.1·(100a+10b-c)
Answer:
-10a - b + 0.1c
Step-by-step explanation:
We can distribute the -0.1 to 100a, 10b and -c.
-10a - b + 0.1c
That's all!
Hope this helps
Answer: -10a - b + 0.1c
Step-by-step explanation:
simplify 0.1 * 10b * -c
10a - b - 0.1 * -c
regroup terms.
-10a - b - ( - 0.1 * c )
remove parentheses
-10a - b + 0.1 * c
Solve 2(x + 1) = 2x + 5.
Answer: No real solutions
Step-by-step explanation:
2(x-1) = 2x +5
Step 1: Distribute the 2 to the parenthesees
2x - 2 = 2x + 5
Step 2: Put the variables on one side and the constants on the other. (add/subtract)
0x = 7
Now, because 0 does not equal 7, there are no real solutions to this problem.
Last week Fred had 47 dollars. He washed cars over the weekend and
now has 50 dollars. How much money did he make washing cars?
Answer:
fred made 3 dollars
Step-by-step explanation:
47+3=50
Help me pllzzzzzzz help help
Answer:
0.75
Step-by-step explanation:
Out of the 8 tiles, 6 of them are not a blue A so the chance of not drawing a blue A is 6/8 = 0.75.
Answer: 3/4
Step-by-step explanation:
There are 8 choices, 2 of which are blue A's. Thus, 6 out of the eight options are NOT blue A's. Therefore, you have a 6/8, or 3/4 chance of not drawing a blue A.
Hope it helps <3