An expression is defined as a set of numbers, variables, and mathematical operations. The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰x can be found,
[tex]32^{(5-3x)}=2^{-10x}\\\\2^{5(5-3x)}=2^{-10x}\\\\5(5-3x)=-10x\\\\25-15x=-10x\\\\25=-10x+15x\\\\25=5x\\\\x=5[/tex]
Hence, the value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.
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what is the y-intercept of this line y= x/5-12
Answer:
(0, -12)
Step-by-step explanation:
The y-intercept of a line can be found when taking x = 0.
Therefore,
y = 0 - 12y = -12The y-intercept of the line is (0, -12)
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
◈ What is the y-intercept of the line, [tex]\bold{y=\dfrac{x}{5} -12}\textit{?}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
◈ Here's a shortcut to find the y-intercept.
Here's the equation:-
[tex]\large\textbf{y=x/5-12}[/tex]
[tex]\square\!\!\!\!\!\!\triangle[/tex] The y-intercept is a negative or positive constant that's added to or subtracted from the slope.
Constant:- A number with no variables next to it (for example, in the expression d-12, -12 is the constant)
So we conclude that
[tex]\Huge\textit{The y-intercept is -12}[/tex].
The y-intercept is usually written as (0, -12).
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simplify. a^7/a^3 Its a fraction that needs to be simplified
Answer:
= a^4
Step-by-step explanation:
. a^7/a^3
= a^4
Please answer my assignment
At the fast food restaurant, an order of fries costs $1.05 and a drink costs $1.07. How much would it cost to get 3 orders of fries and 4 drinks? How much would it cost to get ff orders of fries and dd drinks?
Total cost, 3 orders of fries and 4 drinks:
Total cost, ff orders of fries and dd drinks:
Answer:
$7.43
Step-by-step explanation:
f (fries) = 1.01
d (drinks) = 1.07
1.05f + 1.07d = ?
To solve this problem, you need to replace the variable with the amount of each item.
1.05(3) + 1.07(4) = ?
Now we can solve by multiplying and adding:
3.15 + 4.28 = ?
7.43
Please help I am struggling really bad thank you so much
Answer:
1) A
2) A
3) C
Step-by-step explanation:
Answer: B, A, A
Step-by-step explanation:
I'm not 100% sure this is the answer sorry if I'm wrong
Determine the intervals on which f(x) is x>0 and on which f(x) is x<0.
f(x)=x^5+x^4-3x^3-3x^2-9x-9
Answer:
f(x) > 0 for (-2.203, -1) U (2.203, ∞)f(x) < 0 for (-∞, -2.203) U (-1, 2.203)Step-by-step explanation:
A graph shows real zeros at ±2.203 and -1. The value of f(x) changes sign at each of these.
The positive leading coefficient indicates the graph trends generally upward, so the function will be positive in intervals with an even number of zeros to the right.
f(x) positiveThere are an even number of zeros to the right of x = 2.203 and the interval (-2.203, -1).
f(x) is positive in the intervals (-2.203, -1) or (2.203, ∞).
f(x) negativeThe function will be negative where it is not positive (except at the zeros)
f(x) is negative in the intervals (-∞, -2.203) or (-1, 2.203).
_____
Additional comment
The graph shows the only rational real root of the function is x=-1. Using synthetic division to reduce the polynomial, we find ...
f(x) = (x +1)(x^4 -3x^2 -9)
The remaining factor is a quadratic in x^2, which has roots ...
x = ±√(1.5 ±√11.25)
The real roots are approximately ±2.20320266118. The value 2.203 used above is a stand-in for the exact value √(1.5 +√11.25)).
don't have to answer all just at least 1 pls and write yes if the statement is a proportion or no if it is not a proportion.
2:3 = 9:4
3/8 = 12/32
10/12 = 20/25
4/9 = 17/38
Answer:
3/8 = 12/32 is a proportion
Step-by-step explanation:
2:3 and 9:4 is not a proportion, 10/12 and 20/25 is not a proportion, 4/9 and 17/38 is not a proportion
6. If sin e √√3 2 60° 120° 240° 420° which could not be the value of 0?
The only value of the angles that could not be the value of the θ is determined as 240⁰.
Value of sinθ
If sinθ is given as [tex]\frac{\sqrt{3} }{2}[/tex], then the value of θ is determined as follows;
sinθ = √3/2
sinθ = 0.866
θ = sin⁻¹(0.866)
θ = 60⁰
Other possible values of θWhen the angle is translated in radians, θ = π/3 = 180/3 = 60⁰
thus, θ = π/3
2(π/3) = 2(60) = 120⁰
using the following formula, we can obtain the rest;
θ = π/3 + 2πk
when k = 1;
θ = π/3 + 2π(1)
θ = 60 + 2(180)
θ = 420⁰
Thus, the only value of the angles that could not be the value of the θ is determined as 240⁰.
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Each horse ride lasts 5 minutes with 1 minute pause in between the next ride. After every hour and a half the horse are given a rest. How many children can get a opportunity to ride a horse before they rest
The 15 children get an opportunity to ride a horse before they rest if the horse ride lasts 5 minutes with a 1-minute pause in between the next ride. After every hour and a half, the horse is given a rest
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Each horse ride lasts 5 minutes, with a 1-minute pause in between the next ride. After every hour and a half, the horse is given a rest.
Let's assume the number of children that rides the horse is x
Then we can frame a linear equation in one variable:
5x + 1x = 60+30 (After every hour and a half, the horse is given a rest.)
After solving we get:
6x = 90
x = 15 rides
Thus, the 15 children get an opportunity to ride a horse before they rest if the horse ride lasts 5 minutes with a 1-minute pause in between the next ride. After every hour and a half, the horse is given a rest
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Please see attached question 3 of 25
Answer:
2(3x + 4)
Step-by-step explanation:
to solve this equation you can distribute the two throughout the equations
an easy way to see which one is correct is to check the symbols and what they multiply to
the first expression is obviously wrong as it has a negative symbol
we can now look at the second to last ones
the third one is wrong because 4x and 2 multiply to 6x
the last one is wrong because 2 and 8 do not multiply to 8
the answer is the third one
anyone understands this?
Answer:
4x+6
Step-by-step explanation:
i am pretty sure 4x+2
9
Calculate the square root of 9 and get 3.
4x+2×3
Multiply 2 and 3 to get 6.
4x+6
Lease help me please thanks you
Answer:
x=6
Step-by-step explanation:
So I’m failing right now but I need 44% to pass and I have a 38% right now.I take notes and I get 5/5 (or 100%) on the notes. I did 4 of them will that bring it up?? If so what would be my current grade. Please help meeeeeee.
Answer:
well yes it but it depends on how much each points you will get for each assignment and how much you have, but other than that I am very sure It will! don't lose hope! keep doing your best! only think positive!!!
Is 1.05 greater then 8.5?
Answer:
no
Step-by-step explanation:
Answer:
No, it is not.
Step-by-step explanation:
because 8.5 is the same as 8.50.
Hope this helps!
A graph that uses bars of various heights to represent the frequencies.
a. Histogram
b. Pie graph
c. Bar graph
d. Picto graph
A graph that uses bars of various heights to represent the frequencies is a Histogram
A histogram is an approximate representation of the distribution of numerical data. The term was first introduced by Karl Pearson. To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval.
Therefore, a graph that uses bars of various heights to represent the frequencies is a Histogram
================================
[tex] \large \sf \underline{Question:}[/tex]
A graph that uses bars of various heights to represent the frequencies.
================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad \qquad \huge \bold{Option \: A}[/tex]
================================
[tex] \large \sf \underline{Explanation:}[/tex]
A graph that uses bars of various heights to represent the frequencies is called Histogram
A Histogram is typically a statistical schematic diagram which bars are displayed at random with no space interval. The bars of a Histogram are side-by-side, there are no spaces between the bars.
================================
Help!
The length and width of a wooden box are shown above. If the volume
of the wooden box is 64 cubic inches, what would be the height
Answer:
2 inches is the height of the box.
Step-by-step explanation:
identify each expression that represents the slope of a tangent to the curve y=1/(x+1) at any point (x,y).
Answer:
Step-by-step explanation:
lim 1 / (x + h +1) - 1 (x + 1)
x--> 0
lim -h/ (x + h +1)(x + 1)
x--> 0
lim -h/ (x^2 + 2x + hx + h + 1)
x--> 0
-1/ (x^2 + 2x + 1)
Can someone please help me.
Answer:
The answer can be seen in the image attached to this message (containing the full steps).
short: 27cm
long: 36cm
hypotenuse: 45cm
Step-by-step explanation:
The image attached to this message contains explained steps.
What is the probability of picking a pink marble and rolling an even number?
Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.
Answer:
[tex]\frac{6}{14}[/tex]
Step-by-step explanation:
P(A and B) = P(A) × P(B)
~~~~~~~~
P(A) = [tex]\frac{6}{7}[/tex]
P(B) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
P(A and B) = [tex]\frac{6}{7}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{6}{14}[/tex]
find cos 2x if sin x= 5/13 and x is in quadrant 2
Answer:
cos(2x) = [tex]\frac{119}{169}[/tex]
Suppose that a gated community consisting of 40 houses requires:
500 liters of water everyday for common utilities of the community, and
a certain amount of water everyday per house.
Assuming that the water tanker supplies no more than 4500 liters of water per day to this community, what is the maximum amount of water that can be used by each house on a daily basis?
liters
The maximum amount of water that can be used by each house on a daily basis is 100 liters.
How to calculate the amount of water?From the information given, the gated community consists of 40 houses and requires 500 liters of water everyday for common utilities of the community.
The maximum amount of water that can be used by each house on a daily basis will be:
4500 = 40x + 500
40x = 4500 - 500
40x = 4000
x = 4000/40
x = 100
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Please help me out with this question
Answer:
A6n+4
Step-by-step explanation:
What is the answer?
.......................................................
An expression is defined as a set of numbers, variables, and mathematical operations. The expressions can be arranged as shown below.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
According to the number of terms, the expressions can be arranged as,
Hence, the expressions can be arranged as shown above.
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You’re involved in the design of a new facility. It is important for people to move between work stations quickly. Based on the figure below, how many feet would a person need to walk to get from Work Station 1 to Work Station 3?
Which of the following values in the set below will make the inequality 6x + 2 =14
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
490x + 700y < 4000
490x + 700y ≤ 4000
490x + 700y > 4000
490x + 700y ≥ 4000
Answer: 490*x + 700y ≤ 4000
It is ≤ as it can either be equal to 4000 per week or less than.
Answer:
B.Step-by-step explanation:
A right rectangular prism has these dimensions:
Length − Fraction 1 and 1 over 2 units
Width − Fraction 1 over 2 unit
Height − Fraction 3 over 4 unit
How many cubes of side length Fraction 1 over 4 unit are required to completely pack the prism without any gap or overla
A glacier is moving at a rate of 5 ft per year. At this rate, how long will it take the glacier to travel 1 mi? Hint: 1 mi = 5,280 ft
Which inequality represents the graph shown below?
Answer:
x>-2
since the arrow goes to the right from -2 it is definitely greater than -2. now see that the line does not include the value -2 itself.. thus, we say it is greater than -2
Answer:
x > -2
Step-by-step explanation:
Details understood from the graph :
Open dot from starting pointIncreases from -2Hence,
Open dot means > or <Greater means ⇒ >The inequality is : x > -2Enter the number that belongs in the green box.
Answer:
B. 2
Step-by-step explanation:
Here we need to the find the value in the green box.
Hence, only evaluate the part to the left of the operation sign.
-(-2)2