Answers
Related Questions
What is: 14 - (-20) + (-13)
Answers
Answer:
21
Step-by-step explanation:
14 - (-20) + (-13) =
= 14 + 20 - 13
= 34 - 13
= 21
Hello! I'd really appreciate it if someone helped me solve this logarithm! It was my first class but the professor only showed the more simple versions :)
Answers
Answer:
(1/3)log(5) +(4/3)log(x) +log(y)
Step-by-step explanation:
You want the expanded form of the expression log(∛5·x^4·y^3).
Rules of logarithmsThe applicable rules of logarithms are ...
log(ab) = log(a) + log(b)
log(a^b) = b·log(a)
In addition to these, you need to know that a root is a fractional power: the cube root is the 1/3 power. Of course, the rules of powers tell you ...
(a^b)^c = a^(bc)
ApplicationYou can express the root as a fractional power before or after taking logs. Either way, you get the same result.
Before
[tex]\log\left(\sqrt[3]{5\cdot x^4y^3}\right)=\log\left(5^{\frac{1}{3}}\cdot x^{\frac{4}{3}}y^{\frac{3}{3}}\right)=\boxed{\dfrac{1}{3}\log(5)+\dfrac{4}{3}\log(x)+\log(y)}[/tex]
After
[tex]\log\left(\sqrt[3]{5\cdot x^4y^3}\right)=\dfrac{1}{3}\log\left(5}\cdot x^{4}y^{3}}\right)=\dfrac{1}{3}\left(\log(5)+4\log(x)+3\log(y)\right)\\\\=\boxed{\dfrac{1}{3}\log(5)+\dfrac{4}{3}\log(x)+\log(y)}[/tex]
__
Additional comment
Working a more complex problem is like working a simple problem, except it has more parts and may require the use of the rules more times. It may be tedious to keep track of all the parts, but it is not difficult.
Decide whether the conditional statement is true or false:
It is noon when the clock strikes 12.
Answers
Answer:
True, When the clock transitions from 11:59am to 12:00pm, it is the first hour of noon.
Step-by-step explanation:
A square rug has an area of 35 square ft. What is the exact side length of the rug?
Answers
The exact side length of the rug is √35.
What is the area of parallelogram
Let take the area of length as =a
As per the given question
A square rug has an area=35 sq ft
Area is the quantity that measures the number of unit square
As we know
area of square= a^2
Square area formula: A = a²
As already given a^2=35
So a=√35
The exact side length of the rug is √35.
To know more about area click
https://brainly.com/question/769831
#SPJ9
If angle YXZ measures 90 degrees, which statement is true?
A. segment XZ is perpendicular to segment WY
B. WX =XY
C. segment XZ is a perpendicular bisector of segment WY
D. X is the midpoint of segment WY
Answers
Answer:
The 1st option is correct.
We are not clear that WX = XY.
3rd is is not correct.
4th option is also incorrect.
If segment AB has a midpoint coordinate at (0, -2) and one endpoint is A(4, 2), what is
the coordinate of the other endpoint B?
Answers
( -8 , -8) are the coordinate of the other endpoint B .
What is coordinate ?
To coordinate is to make plans for things to come together or to collaborate with another person to achieve a goal. Coordination occurs when all the details of a journey are planned. When you and a friend divide up a large science project and decide who will do what, that is an example of coordination.Geographic coordinates, namely latitude and longitude, also known as "GPS coordinates," are the applicable literal sense of the word "coordinates." However, (s)he isn't actually expecting a response with coordinates; it's merely a lighthearted manner to inquire as to where you are right now.the coordinates of the second endpoint are ( x₂, y₂ )
x = x₁ + x₂/2
0 = 4 + 0/2
x₂ = -8
y = y₁ + y₂/2
-2 = 2 + y₂/2
-2 -2 = y₂/2
- 8 = y₂
( -8 , -8) are the coordinate of the other endpoint B .
Learn more about coordinate
brainly.com/question/27749090
#SPJ9
When time equals 0, why is the temperature in the oven not equal to 0? Why does the temperature eventually oscillate around 350°F?
Answers
The ambient temperature, aka the outside air temperature, isn't 0 degrees Fahrenheit. This is the reason why the oven isn't at 0 degrees Fahrenheit when the oven is off. For example, if it is 68 degrees Fahrenheit outside, then the oven's temperature is likely around this figure when it is off.
------------------------------
The way the oven works is that it heats the air using a gas or electric source. Once reaching 350 or slightly higher, the oven burner will turn off for a set period of time. This is so the temperature doesn't go too far over 350.
After the burner is turned off, the air inside the oven is still really hot and will stay around 350 for a while. But the temperature will slowly decrease. Once dipping slightly below 350, the oven will turn back on to heat back up to 350 again. This process repeats over and over.
This explains why you see the oscillating bouncing curve like this. It also explains why ovens seem to go on or off in the middle of a baking session.
Evaluate 13a+4b when a = 2 and b = 5
Answers
Answer:
46
Step-by-step explanation:
13a+4b
Substitute
13(2)+4(5)
Multiply
26+20
Add
46
if you know how to do this problem please let me know, thank you.
Answers
As per the question statement, we are given a mathematical expression [tex]|a+5| -1[/tex] is [tex]$\left[\begin{array}{cc}\text { Solution: } & -\infty < a < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
As this question involves a modulus function therefore let us suppose that [tex]b=|a+5|-1[/tex]
Find the absolute value vertex. In this case, the vertex for [tex]b=|a+5|-1[/tex] is [tex](-5,-1)[/tex]
Function range definition
The set of values of the dependent variable for which a function is defined
Domain of [tex]$|a-5|-1: \quad-\infty < a < \infty$[/tex]
Extreme Points of [tex]$|a-5|-1: \quad$[/tex] Minimum [tex]$(5,-1)$[/tex]
Find the range for the interval [tex]$-\infty < a < \infty: \quad-1 \leq f(x) < \infty$[/tex]
Combine the ranges of all domain intervals to obtain the function range [tex]$f(x) \geq-1$[/tex]
Axis interception points of [tex]$|a-5|-1: \quad X$[/tex]Intercepts: [tex]$(4,0),(6,0), Y$[/tex]Intercepts:[tex]$(0,4)$[/tex]
x - axis interception points of[tex]$|a-5|-1: \quad(4,0),(6,0)$[/tex]
y - axis interception point of [tex]$|a-5|-1: \quad(0,4)$[/tex]
X Intercepts: [tex]$(4,0),(6,0), Y$[/tex] Intercepts: [tex]$(0,4)$[/tex]
Asymptotes of [tex]$|a-5|-1$[/tex] : None
Vertical asymptotes of [tex]$|a-5|-1$[/tex] : None
Horizontal Asymptotes of [tex]$|a-5|-1$[/tex] : None
Extreme Points of[tex]$|a-5|-1$[/tex] : Minimum [tex]$(5,-1)$[/tex]
First Derivative Test definition
Suppose that [tex]$x=c$[/tex] is a critical point of [tex]$f(x)$[/tex] then,
If [tex]$f^{\prime}(x) > 0$[/tex] to the left of [tex]$x=c$[/tex]and [tex]$f^{\prime}(x) < 0$[/tex] to the right of [tex]$x=c$[/tex] then $x=c$ is a local maximum.
If [tex]$f^{\prime}(x) < 0$[/tex] to the left of [tex]$x=c$[/tex] and [tex]$f^{\prime}(x) > 0$[/tex] to the right of[tex]$x=c$[/tex] then $x=c$ is a local minimum.
If [tex]$f^{\prime}(x)$[/tex] is the same sign on both sides of [tex]$x=c$[/tex] then [tex]$x=c$[/tex]
is neither a local maximum nor a local minimum.
[tex]f^{\prime}(a)=\frac{a-5}{a-5}$$[/tex]
Plug [tex]$a=5$[/tex] into [tex]$|a-5|-1: \quad-1$[/tex]
Minimum [tex]$(5,-1)$[/tex]
Absolute value vertex: The difference between two numbers; a number's positive value.Interval: A collection of values spanning two endpoints.To learn more about such Absolute value vertex:, click on the link given below:
https://brainly.com/question/28065269
#SPJ9
f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2
There are _____ Zeros( how many)
Answers
The number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the number of zeros?The polynomial expression is given as
f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2
The degree of the above polynomial expression is
degree = 5
The degree of a polynomial expression is the number of zeros of the polynomial
This means that
Zeros = 5
Hence, the number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5
Read more about polynomial at
https://brainly.com/question/17517586
#SPJ1
A 14 yo client with type 1 diabetes
Heighing 110 pounds has on attack of
hypoglycemia. He has been prescribed
0.5g/kg of 50%. dextrose. The 50%
dextrose is supplied in 0.5mg/ml
Prefilled syringes. Calculate the dosage for
the client by converting the weight into Kilograms and the amount of
dextrose in syringe into grams.
Answers
Answer:
Step-by-step explanation: it will be having 10 kg each
Pre algebra pick a yes or no
Answers
Answer:
see explanation
Step-by-step explanation:
to determine if the values of y are a solution to the equation, substitute the values of y into the left side and if equal to the right side then they are a solution.
y = 70
[tex]\frac{70}{7}[/tex] - 1 = 10 - 1 = 9 ≠ - 2 → NO
y = 56
[tex]\frac{56}{7}[/tex] - 1 = 8 - 1 = 7 ≠ - 2 → NO
y = - 7
[tex]\frac{-7}{7}[/tex] - 1 = - 1 - 1 = - 2 → YES
y = 0
[tex]\frac{0}{7}[/tex] - 1 = 0 - 1 = - 1 ≠ - 2 → NO
Answer:
Yes. I think that is a pre algebre question.
If √128 = 2k , find the value of k.
Answers
Answer: k=[tex]{4\sqrt{2}[/tex]
Step-by-step explanation:
√128 = 2k
k=[tex]\frac{\sqrt{128}}{2}[/tex]
k=[tex]\frac{\sqrt{64*2}}{2}[/tex]
k=[tex]\frac{8\sqrt{2}}{2}[/tex]
k=[tex]{4\sqrt{2}[/tex]
Find an equation for the line tangent to the circle
x2 + y2 = 100
at the point
(8, −6).
Answers
Second, plot the point (-6,8) on the circle.
Third, draw a radius from the origin to this point. You should be able to determine the SLOPE of this radius. Since slope is -8/6, this reduces to -4/3.
Fourth, use the point-slope form to find the equation:
y - y1 = m ( x - x1)
y - 8 = -4/3 ( x - -6 )
y - 8 = -4/3 ( x + 6 ) This is the Point-Slope form of the equation.
Fifth, sometimes the question specifies the Slope-Intercept form of the equation. If that is the case, then you only have 2 steps left. First, distribute the -4/3 on the right side of the equation.
y - 8 = -4/3(x) + 8 Now, we isolate the "y" by adding 8 to both sides of the equation.
+8 +8
_________________
y = -4/3(x) + 16
4. To make a specific hair dye, a hair stylist uses a ratio of 1 } oz of red tone, À oz of gray
tone, and oo | ur
Oz of brown tone.
a.
If the stylist needs to
b.
make 20 oz of dye, how much of each dye color is needed?
If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
Answers
The answers to both the questions are as follows:
We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.The quantity of specific hair dye produced by given ingredients are:
= 1(1/8) + 3/4 + 5/8= 9/8 + 3/4 + 5/8= (9+6+5)/8 = 20/8 = 5/2ozAs a result, the amount of specific hair dye produced by given ingredients = 5/2qz
To calculate the amount of each ingredient needed to make 1 oz of specific hair dye, multiply the reciprocal of 5/2 by each ingredient.The amount of red tone required to make 1 oz of a specific dye:
= 3/8 × 2/5 = 3/20 oz
Gray tone = 3/1 × 2/5 = 3/10 Oz Brown tone = 5/8 × 2/5 = 1/4 Oz=Now, multiply each by 20.
The amount of red tone required to make 20 oz of a specific dye:
3/20 × 20 = 3 oz
Gray tone = 3/10 × 20 = 6oz Brown tone = 1/4 × 20 = 5ozTo find each dye needed to make 100 ounces of dye, multiply the above amounts by 5.
(Since, 100 = 20 × 5)The amount of red tone required to make 20 oz of specific dye: 15oz
Gray tone is similar: 30 ozBrown tone is: 25 ozTherefore, the answers to both the questions are as follows:
We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.Know more about ratios here:
https://brainly.com/question/2328454
#SPJ9
The correct question is given below:
To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 ounces of red tone, 3/4 ounces of a gray tone, and 5/8 ounces of brown tone. If the stylist needs to make 20 ounces of dye, how much of each dye color is needed? If the stylist needs to make 100 ounces of dye, how much of each dye color is needed?
what is 3x + 7 = 5x + 15?
Answers
Answer:
Step-by-step explanation:
if solved for x the answer is x=−4
step wise step
3x+7= 5x+15
3x-5x=15-7
-2x=8
x=8÷2
×=4
What's the answer someone please help!
Answers
Step-by-step explanation:
Across
1.26
2.59
3.19
5.38
6.82
7.62
8.48
9.72
11.40
12.64
Down
1.24
2.59
3.18
4 42
5.32
6.88
7.65
8.42
9.70
10.34
Find conditions on k that will make the following system of equations have a unique solution. To enter your answer, first select whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas.
Then give a formula in terms of k for the solution to the system, when it exists. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k.
kx+y = 3
25x+ky = 3
The system has a unique solution when k =
Answers
Answer:
12+2=14odokxjxnxnxnxnjskaowoowsjd
If an employee at Tacos R US gets paid $11.50 per hour. Find his net pay if the
employee works 38 hours in that one week. Employee has a 10% federal tax rate. SS
tax is 6.2% and Medicare tax is 1.45%
Answers
the net pay (weekly) is $359.87
How to find the net pay?First, we know that the employee wins $11.50 per hour. The employee works 38 hours per week, then the weekly pay is:
38*$11.50 = $437
Now we need to discount the taxes:
There are 10% from federal tax, 6.2% from social services and 1.45% from medicare.
The total is:
10% + 6.2% + 1.45% = 17.65%
Then we need to discount a 17.65% of the weekly pay, we will get:
$437*(1 - 17.65%/100%) = $437*(1 - 0.1765) = $359.87
We conclude that the net pay (weekly) is $359.87
If you want to learn more about taxes:
https://brainly.com/question/9437038
#SPJ1
the midpoint of AB is M (2,0). if the coordinates of A are (-3,3), what are the coordinates of B?
Answers
Hence , the coordinate of point B is (7 , -3) .
Midpoint refers to some extent that's within the middle of the road connexion 2 points. A centre could be a purpose lying between 2 points and is within the middle of the road connexion the 2 points. If a line is drawn connexion the 2 points, then the centre could be a purpose at the center of the road and is equal from the 2 points.The centre formula is outlined for the points within the coordinate axes. Let (x₁), (y₁) and (x₂), (y₂) be the endpoints of a line section is given by M = (x₁ + x₂ /2 , y₁ + y₂ /2 ).We have given two coordinate A (-3,3) and M (2,0) .
Let the coordinate of B (x, y) .
Using midpoint formula , we get
[tex](2,0) = ( \frac{-3+x}{2} ,\frac{3+y}{2} )[/tex]
On comparing , we get
[tex]\frac{-3+x}{2} =2\\\ \\-3+x = 4\\x = 7[/tex]
[tex]\frac{3+y}{2} =0\\3+y=0\\y=-3[/tex]
We get coordinate (7 , -3) .
Learn more about midpoint formula here :
https://brainly.com/question/5566419
#SPJ9
Kenny and his family went on a backpacking trip. They started hiking at 3:48 P.M. It took 2 hours and 59 minutes to reach their campsite. After they arrived, it took 1 hour and 35 minutes to set up the campsite. What time was it when Kenny and his family finished setting up their campsite?
Answers
Based on the time that it took Kenny and his family to reach the campsite and set it up, the time when they finished setting up the campsite was 8:22 pm
How to find the time taken to set up?First, find the time that Kenny and his family reached their campsite:
= 3:48 pm + 2 hours 59 minutes
= 6:47 pm
After getting to the campsite at 6:47 pm, Kenny and his family took 1 hour 35 minutes to finish setting up their campsite:
= 6:47 pm + 1 hour 35 minutes
= 8:22 pm
In conclusion, Kenny and his family finished setting up at 8:22 pm.
Find out more on time taken at https://brainly.com/question/17007404
#SPJ1
need answer asap:
Shelby made a list of her test scores: 88,100,92,80,85,94,90. What is the lowest score she can get on her next test to have a mean score of 90?
ty pls answer quickk
Answers
......................
GRAPH the line y=kx+4 goes through point (2,-2)
Please answer sketch the graph of the line
Answers
Answer:
Step-by-step explanation:
First plug in the values for x and y:
y=-2
x=2
-2=2k+4
Then just simplify to get k:
-2=2k+4
Minus 4 from both sides
-6=2k
Divide each side by 2
k=-3
I hope this helps!
what is the vertex of f(x)=x^2+10x+1
Answers
The vertex of f(x)=x²+10x+1 is found to be (-5,-24).
The Vertex of the quadratic equation f(x)=ax²+bx+c is (h,k) where
h=-b/2a and k=f(h).
In the given question
f(x)=x²+10x+1
On comparing with ax²+bx+c
we get a=1 , b=10 , c=1
So , h=-b/2a
h=-10/2(1)
h=-5 ...(i)
k=f(h)
Substituting the value of x=h in f(x) we get
k=(-5)²+10(-5)+1
k=25-50+1
k=-25+1
k=-24
Therefore , the vertex of f(x)=x²+10x+1 is (-5,-24).
Learn more about Vertex Of Quadratic Equation here https://brainly.ph/question/1836187
#SPJ1
2,414(goal) each person pays 34 how many people need to come to reach that goal
Answers
The required number of people that contribute 34 pays in the goal of 2414 is 71.
What is arithmetic?According to the assertions, it deals with a number of operations in mathematics. Addition, subtraction, multiplication, and division are the four main arithmetic operators.
Here,
as given in the question,
Total contribution = 2414
Contribution by each person = 34
Applying arithmetic operations
number of people = 2414 / 34
Number of people= 71
Thus, the required number of people that contribute 34 pays in the goal of 2414 is 71.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ1
helpnsisiisisisisiwiwiwi
Answers
Answer:
For Ai - P = 4 , Q = 4 , R = 4
For Aii - P = 3 , Q = 4 , R = 5
For Aiii - b^13 × b^-2 / b^1 = b^10
Step-by-step explanation:
I hope this is correct answer.
Use equivalent ratios to answer
Answers
If out of 7 squares, 4 squares are in grey colour then if there are 15 white squares there will be 20 grey squares by solving through ratios.
Given that out of 7 squares, 4 squares are in grey colour.
We are required to find the number of grey colour squares if there are 15 white squares by using equivalent ratios.
Equivalent ratios are basically the ratios that are the same when we compare them. Two or more ratios can be compared with each other to find whether they are equivalent or not.
Ratio of white squares in 7 total squares=3:4
Total number of squares if there are 15 white squares=15*7/3=35
Number of grey squares=35-15=20
Hence if out of 7 squares, 4 squares are in grey colour then if there are 15 white squares there will be 20 grey squares by solving through ratios.
Learn more about equivalent ratios at https://brainly.com/question/2328454
#SPJ9
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
For the given question options C, D and E are correct answers.
Given that, ∠2, ∠3, and ∠5 are interior angles of the triangle and ∠1, ∠4, and ∠6 are exterior angles of the triangle.
What are the exterior angles of a triangle?When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior angle of a triangle. There are three exterior angles in a triangle. It should be noted that each exterior angle forms a linear pair with its corresponding interior angle.
Now, m∠5 + m∠6=180° (Adjacent angles are added up to 180°)
m∠2 + m∠3 = m∠6 (Exterior angle is equal to the sum of opposite interior angles)
m∠2 + m∠3 + m∠5 = 180° (Sum of all the interior angles of a triangle is equal to 180°)
Therefore, options C, D and E are correct answers.
To learn more about the exterior angles visit:
https://brainly.com/question/11379452.
#SPJ1
Figurative language is different from literal language because _____.
A. it means exactly what it says
B.it is unclear
C.it contains meaning other than the actual word for word meaning
D.it is hard to define
Answers
Answer:
C i think
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Answer A is the definition of literal language, while C is the definition of figurative. So, C is correct.
If the third of three consecutive integers is subtracted from 132, the result is the sum of the first and second. What are the integers?
Answers
Answer:
gg
Step-by-step explanation:
Answer:
Three consecutive integers are 43, 44, 45
Step-by-step explanation:
Let three consecutive integers be x, (x + 1), (x + 2)
According to the question, if the third of three consecutive integers is subtracted from 132, the result is the sum of the first and second.
[tex] \therefore [/tex]
[tex] \implies \rm 132 - (x + 2) = x + (x + 1) \\ \\ \implies \rm 132 - x - 2 = x + x + 1 \\ \\ \implies \rm 130 - x = 2x + 1 \\ \\ \implies \rm 130 - 1 = 2x + x \\ \\ \implies \rm 129 = 3x \\ \\ \implies \rm 3x = 129 \\ \\ \implies \rm x = \frac{129}{3} \\ \\ \implies \rm x = 43[/tex]
So,
The integers are as follows:
x = 43
x + 1 = 44
x + 2 = 45