Answer:
hlo buddy
are u free now.. nhjm....
If AC=10 inches and CB=5 inches what is AB
If AC=10 inches and CB=5 inches what is AB...
now, AB= AC+CB
= 10+ 5
=15 inches......
hope it helps you.have a nice day/ night...........
Answer:
It depends on the positions of the points.
Step-by-step explanation:
Since there is no figure, we cannot tell what the correct answer is since there is more than one possibility.
Here is one valid possibility.
10 5
<----------------+--------------------------+------------+--------------------->
A C B
Here we have point C between points A and B. Then according to the definition of a point between two points, we have AB = AC + CB.
AB = AC + CB
AB = 10 + 5
AB = 15
Here is another equally valid possibility.
<----------- AC = 10----------------->
5
<----------------+--------------------------+------------+--------------------->
A B C
Here we have AC = 10 and CB = 5, but we have point B between points A and C. According to the definition of a point in between two points, we have AC = AB + CB
10 = AB + 5
AB = 5
AB may be 10 or 5 depending on the order of the points on the number line. That makes the problem ambiguous without a figure.
Work out an estimate for the value of
41.2 x 19.8
——————-
0.49
Answer:
820
Step-by-step explanation:
41.2 * 19.8 = 41 *20 = 820
41.2
In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41
19.8
In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.
19+1 = 20
What are the two square roots of 9/4?
Answer:
3/2
Step-by-step explanation:
3^2=9
2^2=4
3/2 and -3/2
sqr of 9 is 3 or 3
sqr of 4 is 2 or -2
Provide a rule to describe the relationship between the number in the sequence
1,4,9,16
Answer:
add 3, add 5, add 3
Step-by-step explanation:
1, 4, 9, 12
add 3, add 5, add 3
Answer:
x^2
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
And so on.
So, the rule is x^2.
Find the first four terms of the sequence given by the following.
an=51 + (n-1).8, n=1, 2, 3...
Answer:
Step-by-step explanation:
a1 = 51 + (1 -1 ) * 0.8
a1 = 51
a2 = 51 + (2 - 1)*0.8
a2 = 51 + 0.8
a2 = 51.8
a3 = 51 + (3 - 1)*0.8
a3 = 51 + 2*0.8
a3 = 51 + 1.6
a3 = 52.6
a4 = 51 + (4 - 1)*0.8
a4 = 51 + 2.4
a4 = 53.4
If 2^x-4 = 4^x-6 , then value of x is?
Answer: [tex]x=1[/tex]
Step-by-step explanation:
[tex]2^x-4=4^x-6[/tex] is the equation that you've given us.
Now if we plot these two equations on the graph we notice there's an intersection at (1,-2). Therefore meaning that [tex]x=1[/tex].
We can prove that by doing the following calculations to prove that both sides are equal to each other.
The left side of the equal sign:
Step 1: Write the equation down:
[tex]2^x-4[/tex]
Step 2: Substitute x for the numerical value we found.
[tex]2^1-4[/tex]
Step 3: Find the square of [tex]2^1[/tex], which is itself, 2.
[tex]2-4[/tex]
Step 4: Subtract 2 from 4. Which is a negative number, thus being -2.
[tex]-2[/tex]
The right side of the equal sign:
Step 1: Write the equation down:
[tex]4^x-6[/tex]
Step 2: Substitute x for the numerical value we found.
[tex]4^1-6[/tex]
Step 3: Find the square of [tex]4^1[/tex], which is itself, 4.
[tex]4-6[/tex]
Step 4: Subtract 4 from 6. Which is a negative number, thus being -2.
[tex]-2[/tex]
We know that [tex]x=1[/tex] because when substituting x with 1, we get -2 on both sides. Therefore making this statement true and valid.
[tex]-2=-2[/tex]
dilations geometry help please
Multiply x and y by 2:
A. (-6, 4)
B. (2, 2)
C. (-2, -2)
pls help
5 1/3 ÷ 1 7/9
Answer:
3
Step-by-step explanation:
5 1/3 ÷ 1 7/9
Change to improper fractions
5 1/3 = (3*5+1)/3 = 16/3
1 7/9 = (9*1+7)/9 = 16/9
16/3 ÷ 16/9
Copy dot flip
16/3 * 9/16
Rewriting
16/16 * 9/3
1*3
3
what is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)
9514 1404 393
Answer:
x = -3/2
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero:
x = -4, x = 1
The axis of symmetry is the vertical line halfway between these zeros.
x = (-4 +1)/2 = -3/2
The equation of the axis of symmetry is x = -3/2.
3-5n+4n=4. help please
Answer:
n = -1
Step-by-step explanation:
3-5n+4n=4
3 - n = 4
-n = 1
n = -1
1. demand can be said to control supply and demand.
(Consumer, Producer)
Answer:
The law of demand says that at higher prices, buyers will demand less of an economic good. The law of supply says that at higher prices, sellers will supply more of an economic good. These two laws interact to determine the actual market prices and volume of goods that are traded on a market.
Supply is generally considered to slope upward: as the price rises, suppliers are willing to produce more. Demand is generally considered to slope downward: at higher prices, consumers buy less. ... The relationship between the supply and demand for a good (or service) and changes in price is called elasticity.
Chase plans to repaint some classroom bookcases. He has 1 4/7 gallons of paint. All of the bookcases are the same size and each requires 1/3 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
LENGTH OF ARCS. URGENT.
Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.
WILL GIVE BRAINLIEST AND 20 POINTS! SHOW WORK!
How many different 6-digit phone numbers do not contain the digit 6? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.
Answer:
Step-by-step explanation:
We don't know if the number can start with a 0 or 1. Since we don't know, I will assume the number can start with either. The restriction is on 6s.
The way this is worded, I'm not sure if the digits can be repeated or not. It sounds like they can.
9 * 9 * 9 * 9 * 9 * 9 = 531441
If you are not allowed to repeat and no digit is a 6 then you get
9 *8 * 7 * 6 * 5*4 = 60480
What does the lines mean around the x: |x|
Answer:
absolute value
Step-by-step explanation:
Answer:
This shows the absolute value of an integer.
Step-by-step explanation:
When you see the lines | | around a number, it should always give you the answer of that number's positive integer. So lets say I out | -2 | the answer for this equation should be 2.
find the missing length indicated
Answer:
192
Step-by-step explanation:
According to Euclidian theorem
x^2 = 144*(400-144)
x^2 = 144*256
x^2 = 36864 find the root of both
x = 192
Density of wood is a very important trait for furniture making. There are two main important mechanical properties: strength and stiffness. Research has shown that a increase density equals an increase strength, hardness and stiffness of sawn timber.
A carpenter has two pieces of wood. He wants to find the density of each piece.
The first piece came from a birch tree. The piece of birch wood measures 2 meters by 4 meters by 3 meters and weighs (mass) 16 kilograms.
The second piece came from a cypress tree. The piece of cypress wood measures 3 meters by 5 meters by 2 meters and weighs (mass) 15.3 kilograms.
Which piece of wood has a greater density? You must show your work in order to receive credit.
Step-by-step explanation:
The Birch tree has a greater density.
A cartoon has a length of 1 2/3 feet, width of 1 1/6 feet, and height of 1 1/5 feet what is the volume of the cartoon?
A: 2 cubic feet
B: 2 1/3
C: 4 cubic feet
D: 4 2/3
please help me with math
Answer:
Step-by-step explanation:
a) 4/9*x^4
b) 2/y
Steve works two different jobs for a total of 60 hours every Monday through Friday schedule is the same each day and he works three hours a day at his first job how many hours a day does he work at his second job
Answer:
Step-by-step explanation:
Steve works:
- 60 hour per week = 12 hours per day (60/5)
- first job: 3 hours per day = 15 hours per week
- x = second job hours per day
equitation:
1st option to calculate:
12 (total hours per day) = 3 (hours per day on first job) + X
9 = X
2nd option to calculate:
60(total hours per week) = 15 (3 hours per day x 5) + x
45 = x
you need to divide 45 / 5 to get the daily hours which is 9
These circles are:
A. tangent
B. congruent
C. congruent
D. none of these
Answer:
A. tangent
Step-by-step explanation:
Hi there!
Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.
I hope this helps!
One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?
Answer:
22 degrees
Step-by-step explanation:
Corresponding angles in similar triangles are equal
So the corresponding angle would be 22 degrees
In the following diagram, BAC = 46 degrees, and AD is the bisector of BAC. Find BDA
Answer:
67 degrees
Step-by-step explanation:
We have a right triangle with the following known values:
B = 90
A = 23 (46/2=23 since AD is the angle bisector)
D = ?
180 = 90 + 23 + D and we solve
67 = D
What is the value of x to the power 0 + 1 by 2 power 0 + 1 ?
Answer:
In short, 0 is the only number such that for any number x, x + 0 = x. ... So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1
Answer:The zero exponent rule states that any term with an exponent of zero is equal to one. This lesson will go into the rule in more detail, explaining how it works and giving some examples. There will also be a quiz to test your knowledge.
The zero exponent rule is one of the rules that will help you simplify exponents. Let's first define some terms as they relate to exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power.
Usually, you'll see this written with the base being a normal-size number (or letter, if you're working with a variable). The exponent will be in a slightly smaller font, raised a little up above and to the right of the base. However, in some formats, like this one, you'll see the base, a mark called a caret that looks like an inverted V, and then the exponent. So if you have a base of 2 and an exponent of 3, we'll write that out here as 2^3 = 8.
Now that you know the terms, let's go back to the zero exponent rule. The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example:
x^0 = 1
If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).
A.4x+9
B.2x+9
C.2x-1
D.4x+1
Answer:
4x+1
Step-by-step explanation:
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Answer:
D. 4x + 1
Step-by-step explanation:
[tex](f+g)(x)=x-4+3x+5\\(f+g)(x)=4x+1[/tex]
The length of a small rectangular room is "6 more than the width" and the area of the room is 27 square units. Which of the following represents the dimensions of the room?
Step-by-step explanation:
sL=6+W
A=27square
A=L×W
=(6+w) ×W
Wilma worked 38 hours 52 minutes last week. She earns $25.15 per hour. What is wilma's pay for this work period? Round your answer to the nearest hundredth
Answer:
$968.78
Step-by-step explanation:
multiply worked hours by her pay per hour
38.52×$25.15=
38.52×$25.15=$968.778
then you round it to the nearest hundredth
since the thousandth is greater than 5 the 8 will round the 7 to an 8
giving you $968.78
Answer: $977.50
Step-by-step explanation:
(38)(25.15)=955.70
(52)(25.15)/60=21.80
955.70 + 21.80 = 977.50
Consider that 45% of Americans own a dog, 25% of Americans own a cat, and 40% of Americans own neither. Draw a Venn Diagram for this situation. Be sure to label every region of the Venn Diagram with a word AND the percentage of Americans that fall in each category.
Answer:
See below
Step-by-step explanation:
40% own neither, it means 100% - 40% = 60% own either a dog or a cat.
Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.
Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.
Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.
All the numbers reflected in the attached Venn diagram:
35% - dog10% - both15% - cat40% - neitherYet another calculus question :)
Given [tex]y = x^3 - 2x[/tex] for [tex]x \geq 0[/tex], find the equation of the tangent line to y where the absolute value of the slope is minimized.
I have tried taking both the first and second derivatives and setting them equal to 0 and using that as the answer, but they're incorrect. Could somebody please explain how to complete the question correctly? Thank you so much!
Answer: y = (-4/3)*sqrt(2/3)
This is the same as writing [tex]y = -\frac{4}{3}\sqrt{\frac{2}{3}}[/tex]
============================================================
Explanation:
The phrasing "where the absolute value of the slope is minimized" is an interesting way of saying "the tangent slope is 0". This is because absolute values are never negative, so the smallest it can get is 0.
Your teacher has given you
y = x^3 - 2x
which differentiates into
dy/dx = 3x^2 - 2
after using the power rule
The derivative function lets us determine the slope of the tangent. The slope is the dy/dx value. Since we want a slope of 0, we'll set 3x^2-2 equal to zero and solve for x. So you have the correct idea, but you won't involve the second derivative.
dy/dx = 0
3x^2 - 2 = 0
3x^2 = 2
x^2 = 2/3
x = sqrt(2/3)
Notice how I'm ignoring the negative version of this root. This is due to the fact that [tex]x \ge 0[/tex]
-------------------------
Now plug this x value back into the original equation to find its corresponding y coordinate.
y = x^3 - 2x
y = x(x^2 - 2)
y = sqrt(2/3)*( 2/3 - 2 )
y = sqrt(2/3)*( -4/3 )
y = (-4/3)*sqrt(2/3)
Note that x = sqrt(2/3) leads to x^2 = 2/3 after squaring both sides.
-------------------------
Therefore, the equation of this tangent line is y = (-4/3)*sqrt(2/3)
All horizontal lines are of the form y = k, for some constant k. This constant value is basically what number you want the horizontal line to go through on the y axis. That number would be (-4/3)*sqrt(2/3).
Anybody help please ! Step by step
Your answer is -6.
Hope my answer is helpful to you. Stay blessed .
[tex]\\ \large\sf\longmapsto {27}^{x} = {9}^{x - 3} \\ \\ \large\sf\longmapsto ( {3}^{3} ) {}^{x} = ({3}^{2} ) {}^{x - 3} \\ \\ \large\sf\longmapsto 3 {}^{3x} = 3 {}^{2(x - 3)} \\ \\ \large\sf\longmapsto {3}^{3x} = 3 {}^{2x - 6} \\ \\ \large\sf\longmapsto 3x = 2x - 6 \\ \\ \large\sf\longmapsto 3x - 2x = - 6 \\ \\ \large\sf\longmapsto x = - 6[/tex]