If the expression is log₄5 x,then the expansion of this will look like
(log 5+ log x)/log 4.
Given that the expression is log₄5 x.
We are required to find the expansion of the expression.
Base change theorem says that [tex]log_{a}b[/tex]=[tex]log_{x}b/log_{x}a[/tex]. We use the change of base formula to re-write a logarithm operation as a fraction of logarithms with a new base.
The expression is log₄5 x.
log₄5 x=(log 5+log x)/log 4
(We know that [tex]log_{a}b[/tex]= log b/ log a and log mn =log m +log n)
Hence if the expression is log₄5 x then the expansion of this will look like (log 5+ log x)/log 4.
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6x+5y=39
3x+5y=27
grade 8
Answer:
y = 3 and x = 4
Step-by-step explanation:
Let's solve your system by substitution.
6x+5y=39;3x+5y=27
Step: Solve6x+5y=39for x:
6x+5y=39
6x+5y+−5y=39+−5y(Add -5y to both sides)
6x=−5y+39
6x/6=−5y+39/6
(Divide both sides by 6)
x=−5/6y+13/2
Step: Substitute −5/6y+13/2 for x in 3x+5y=27:
3x+5y=27
3(−5/6y+13/2)+5y=27
5/2y+39/2=27(Simplify both sides of the equation)
5/2y+39/2+−39/2=27+−39/2
(Add (-39)/2 to both sides)
5/2y=15/2
5/2y/5/2=15/2/5/2
(Divide both sides by 5/2)
y=3
Step: Substitute 3 for y in x=−5/6y+13/2:
x=−5/6y+13/2
x=−5/6(3)+13/2
x=4(Simplify both sides of the equation)
Question 1
She just knew she would die if she didn't get a job.
Is it a hyperbole or idiom?
Answer:
Hyperbole
Hope this helps :)
Step-by-step explanation:
This is because she is exaggerating, and hyperoble is when someone exaggerates. She will not really die if she didn't get a job.
How can you test to see if a diagram made using digital tools is a construction or just a drawing based on estimation?
You can test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by C. Look to see just how accurate the diagram appears. If needed, measure the screen using a ruler and protractor.
How to illustrate the information?The phrase "digital construction" is understood to refer to the use of digital technologies to improve and improve the quality of construction.
In this case, you can test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by looking to see just how accurate the diagram appears. If needed, measure the screen using a ruler and protractor.
In conclusion, the correct option is C.
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How can you test to see if a diagram made using digital tools is a construction or just a drawing based on estimation? O Digital tools cannot be used to make a construction. Construction tools are limited to only straightedge and compass. O Look to see just how accurate the diagram appears. If needed, measure the screen using a ruler and protractor. O Drag a free point to see if the construction changes. Restart your computer and see if the diagram is found in the same location.
ABC is a right triangle with vertices at A (0,0), B (0, 2b) and C (2a, 0). Point D (a, b) is the
midpoint of BC. Which of the following statements could be used to show that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices of the triangle?
Using the midpoint concept and the distance between two points, the correct statement is given by:
[tex]\sqrt{(0 - a)^2 + (2b - b)^2} = \sqrt{(2a - a)^2 + (0 - b)^2} = \sqrt{(a - 0)^2 + (b - 0)^2}[/tex]
What is the midpoint concept?The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the coordinates of the midpoint of the hypotenuse are given as follows:
x: (2a + 0)/2 = a.y: (0 + 2b)/2 = b.What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence the distance from the midpoint of the hypotenuse to any vertex is given by:
[tex]\sqrt{(0 - a)^2 + (2b - b)^2} = \sqrt{(2a - a)^2 + (0 - b)^2} = \sqrt{(a - 0)^2 + (b - 0)^2}[/tex]
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A 2-gallon container of laundry detergent costs $14.64. What is the price per quart?
Answer:
Step-by-step explanation:
$1.20 dollars
Your trip started near mile marker 42 on I-10 in El Paso. Now you're at mile marker 837 near Winnie. How many miles have you traveled?
Answer:
Step-by-step explanation:
Your trip started near mile marker 42 on I-10 in El Paso. Now you're at mile marker 837 near Winnie. How many miles have you traveled?
(-3x^4 – 5x – x^3)+(-12x^3 – 8x – 14x^4)
The simplified form of the expression is -17x⁴ -13x³ - 13x
Simplifying an ExpressionFrom the question, we are to simplify the given expression
The given expression is
(-3x⁴ - 5x - x³) + (-12x³ -8x -14x⁴)
To simplify the expression,
First clear the parentheses
(-3x⁴ - 5x - x³) + (-12x³ -8x -14x⁴)
-3x⁴ - 5x - x³ -12x³ - 8x - 14x⁴
Collect like terms
-3x⁴ - 14x⁴ - x³ -12x³ - 8x - 5x
Simplify further
-17x⁴ -13x³ - 13x
Hence, the simplified form of the expression is -17x⁴ -13x³ - 13x
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Sarah buys a bag of candy to give out to Trick or Treaters. There are 120 pieces of candy in the bag, and she paid $26.40 for the whole bag. How much did she pay for each piece of candy?
Answer: 0.22
Step-by-step explanation:
26.40/120
0.22
0.22 x 120 = 26.40
3 - 4 ^ 2 + 6/2  simplify
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3 - 4^2 + \dfrac{6}{2}}[/tex]
[tex]\mathsf{= 3 - 4\times 4 + \dfrac{6}{2}}[/tex]
[tex]\mathsf{= 3 - 16 + \dfrac{6}{2}}[/tex]
[tex]\mathsf{= -13 + \dfrac{6}{2}}[/tex]
[tex]\mathsf{= -13 + 3}[/tex]
[tex]\mathsf{= -10}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{-10}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
6x-6+x-6 pls he help thank you very mid ce
Answer:
7x-12
Step-by-step explanation:
Answer:The answer is 7x-12
Step-by-step explanation:You would do 6x+x which would equal 7x then you would do -6-6 which would equal -12.So the answer would be 7x-12.
y = - x + 1 + 4
t
2 3
X
|
0
- |
-21
-3
y
Answer:
1+4=5 23×21=44 44-3=41
Step-by-step explanation:
ANSWER= LOL
Un tipo de tela cuesta $31.25 por 5 yardas cuadradas. Otro tipo de tela cuesta $71.50 por 11 yardas cuadradas. ¿La relación entre el número de yardas cuadradas y el costo es proporcional entre los dos tipos de tela?
Answer:
como proporción de dos tipos de tela es diferente.
por lo tanto, la relación entre el número de yardas cuadradas y el costo
no es proporcional entre los dos tipos de tejido
Explicación paso a paso:
Para que una relacion sea proporcional
a:b = c:d
en otra forma
a/b = c/d
______________________________________________
Proporción para el primer tipo de tejido
costo de tela/ área de tela = 31.25/5 = 6.25
Ratio para otro tipo de tejido
costo de tela/ área de tela = 71.50/11 = 6.5
como proporción de dos tipos de tela es diferente.
por lo tanto, la relación entre el número de yardas cuadradas y el costo
no es proporcional entre los dos tipos de tejido
Step-by-step explanation:
can someone help? Work out the missing numbers in the identity
__ (p²-2) - p(2p³- __) =p(p²-2) + 3 p
Step-by-step explanation:
I hope you wrote the equation correctly.
there could be parts missing. and exponents be wrong.
I am concerned, because the missing parts are not just numbers. they are full terms in the variable p.
so, well, the right side is
p³ - 2p + 3p = p³ + p
on the left side we have
a(p² -2) - p(2p³ - b)
ap² - 2a - 2p⁴ - pb
so, the first thing we see : we need to eliminate the p⁴ terms, because there are none on the right side.
so,
a = 2p²
that gives us
2p⁴ - 4p² - 2p⁴ - pb = -4p² - pb
let's see, if we can create the missing items just by "b" (and we have to get rid of -4p²) when we bring left and right sides together again :
-4p² - pb = p³ + p
p³ + p + 4p² = -pb
b = (p³ + p + 4p²)/-p = -p² - 1 - 4p
so,
the equation would look like
2p²(p² - 2) - p(2p³ - (-p² - 1 - 4p)) = p(p² - 2) + 3p
which could be also written as
2p²(p² - 2) - p(2p³ + p² + 1 + 4p) = p(p² - 2) + 3p
A/an is calculated by dividing the difference between a data value and the mean by the standard deviation.
Answer: Z-score
Step-by-step explanation:
what is the solution to this system of equations?
y = x - 2
y = - 0.5x + 4
Answer:
(4, 2 )
Step-by-step explanation:
y = x - 2 → (1)
y = - 0.5x + 4 → (2)
substitute y = x - 2 into (2)
x - 2 = - 0.5x + 4 ( add 0.5x to both sides )
1.5x - 2 = 4 ( add 2 to both sides )
1.5x = 6 ( divide both sides by 1.5 )
x = 4
substitute x = 4 into (1)
y = 4 - 2 = 2
solution is (4, 2 )
can someone help me with this one question pls i will give 50 points
Answer:
[tex]x \geq 7[/tex]
Step-by-step explanation:
First inequality
[tex]-27 > -4x - 7\\\to 4x > 20\\\to x > 5[/tex]
Second inequality
[tex]-35 \geq -4x - 7\\\to 4x \geq 28\\\to x \geq 7[/tex]
We are given that x is greater than 5 and greater or equal to 7.
We can summarize this down to [tex]x \geq 7[/tex]
Answer:
Inequality notation: [7, ∞)
Number Line:
7 (closed dot), point towards positive infinity.
Step-by-step explanation:
-27 > -4x - 7 and -35 ≥ -4x - 7
+7 +7 +7 +7
------------------ ------------------
-20 > -4x -28 ≥ -4x
÷-4 ÷-4 ÷-4 ÷-4
--------------- ---------------
5 < x 7 ≤ x or x ≥ 7
Inequality notation includes the numbers that are included or the"≥" symbol.
Number line:
--------->
<------------------------------|------------>
7
I hope this helps!
A panel of judges was rating the taste of different brands of potato chips
Two expressions with equal sign is called as Equation. The rating of a brand that costs $3.00 per bag is 7.
What is equation?Two expressions with equal sign is called as Equation.
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
y=a+bx
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
The output of the least squares regression analysis for predicting rating from price is provided.
So, the dependent variable is the ratings and the independent variable is the price.
The regression equation for predicting rating from price is:
y=0.39+2.52x
Predict the rating of a brand that costs $3.00 per bag as follows:
y=0.39+(2.52*$3.00)
=0.39+7.56
=7.17
=7 approximately.
Thus, the rating of a brand that costs $3.00 per bag is 7.
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what has no length, no width, and no height
Answer:
line
Step-by-step explanation:
a jogger begins her workout by jogging to a park, a distance of 12 miles. she then jogs home at the same speed, but along a different route. this return trip is 18 miles, and her time is one hour longer. find her jogging speed.
The jogging speed of the jogger is 6 miles/hour.
Given that:-
Distance from home to park = 12 miles
Distance from park tp home from a different route = 18 miles
It is also given that the time taken to reach home from park is 1 hour longer than the number of hours taken to reach park from home.
We have to find the speed of the jogger.
Let the time taken by jogger to reach park from home be t hours.
Hence, according to the data given in the question,
Time taken by jogger to reach home from park is (t+2) hours.
We know that,
Speed = distance/time
We know that the speed of jogger in each route is same.
Hence, we can write,
12/t = 18/(t+1)
2/t = 3/(t+1)
2(t+1) = 3t
2t+2 = 3t
t = 2 hours.
Hence, speed of the jogger = 12/2 = 6 = 18/(2+1) = 18/3.
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What does g =
g-16
------
2
Answer:
8?
Step-by-step explanation:
Answer:
g = -8
Step-by-step explanation:
g-16
------ = -8
2
g = -8
If you need to drive 30 miles, you have many options. For instance, you can drive 15 miles per hour for 2 hours, 30 miles per hour for 1 hour, or 60 miles per hour for half an hour. Notice that when you double your speed, it takes half as much time to get to your destination. Mathematicians describe this kind of relationship as an inverse variation. Why do you suppose they use the word inverse to describe it?
The word Inverse is used here because as the speed of traveled goes on increase, then the amount of time it takes to travel a particular distance will decrease .
What is inverse variation ?The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.
Let say if x and y are two values and k is a constant value, then
According to inverse variation
k = xy or y = k/x
In the question here, when we double your speed, it takes half as much time to reach the destination. The word Inverse is used here because as the speed of traveled goes on increase, then the amount of time it takes to travel a particular distance will decrease .
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I was to tired today and I have homework and don’t know what to do
Step-by-step explanation:
Just do it and it will pay off
[(12-18)/3-5] multipied by(-4)
Write a rational function with the given characteristics.
A vertical asymptote at x=-4 and a horizontal asymptote at y=3
The rational function with the given characteristics is [tex]f(x) = \frac{3x + 1}{x - 4} [/tex].
How to find a rational function with the given characteristics?Any function that can be expressed mathematically as a rational fraction—an algebraic fraction in which both the numerator and the denominator are polynomials—is referred to as a rational function. The polynomials' coefficients don't have to be rational numbers,they can be found in any field K.
given that a vertical asymptote at x=-4.
A horizontal asymptote at y=3.
The denominator of the function cancels for this value and the numerator does not cancel at this value if the rational function has a vertical asymptote at x=4.
[tex]f(x) = \frac{p(x)}{(x - 4)} [/tex]
The degree of the numbered variable is equal to the degree of the denominator if the rational function has a horizontal asymptote at y=3, and the coefficient of the higher degree variable is three times larger.
Hence,
[tex]f(x) = \frac{3x + 1}{x - 4} [/tex]
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Mrs. Saunders can clean the windows of her house in 3 hours. Her daughter can clean the windows in 6 hours. How long will it take them to clean the windows if they work together?
Answer:4.5 hours, 4 hours and 30 minutes, 4 and a half hours
Step-by-step explanation: you are averaging, so you add all of the numbers together and divide that by the number of numbers.
3+6=9, 9 divided by 2=4.5
Answer:
2hours
Step-by-step explanation:
let windows = x
Mrs. Saunders can clean one-third of the windows in an hour = x/3
daughter can clean one-sixth of the windows in an hour = x/6
so,
x/3+x/6 = 1
thus, x = 2
mother and daughter together can clean the windows in 2 hours
How do you message ppl?
20 points!!!
Answer:
You can't. You must be a trusted helper.
Answer:
just message them by messaging them
Cam earns $400/week plus 2. 5% commission. He has been offered another job that pays $700/week but no commission.
a) Describe three strategies that you could use to compare Cam’s
earnings for the two jobs
what is the answer to this ? 5b+3.79
Answer:
5
Step-by-step explanation:
5b+3.79
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n−1 .
5b^1-1
Subtract 1 from 1.
5b^0
For any term t except 0, t^0 = 1
5×1
For any term t, t×1=t and 1t=t.
5
1, 6, 15, 28, ...
find nth term
The y-coordinate of the y-intercept is the _____ term
Answer:
constant
Step-by-step explanation: