To find the value of t, apply the exponent rules and simplify to get t = [tex]j^{59[/tex], assuming j is not zero.
The value of t in the equation [tex](j^{-12})^{-5} = j \times t[/tex] can be found by understanding the properties of exponents. Since the equation involves a base raised to an exponent that is also raised to another exponent, one would apply the rule that states [tex](a^n)^m = a^{(n \times m).[/tex] Thus, simplifying gives us [tex]j^{(12 \times 5)} = j \times t \space or j^{60} = j \times t[/tex] Now, assuming that j is not 0, we divide both sides by j to isolate t, resulting in [tex]t = j^{59[/tex], and j will not be equal to zero, hence J [tex]\neq[/tex] 0.
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=76°, and PQ = 4.1 feet. Find the length of OP to the nearest tenth of a foot.
Find the value of x.
Answer:
4
Step-by-step explanation:
First you would need to look at the line at the right. It has 2 parts, 3 and 2. When added you get 5.
As when you look at the other side it only has 2 and x.
To make it simple 5 - 1 = 4.
That is your final answer.
Hope this helps!
Answer:
x = 4
Step-by-step explanation:
In triangle BAC, DE || AC.
Therefore, by basic proportionality theorem:
[tex] \frac{x + 2}{x} = \frac{3}{2} \\ 2(x + 2) = 3x \\ 2x + 4 = 3x \\ 4 = 3x - 2x \\ 4 = x \\ x = 4[/tex]
Help me plzzzzzz 100% and ill give a a Brainlist
Answer:
V≈302ft^3
Step-by-step explanation:
The equation for finding volume of a cone with slant height and radius is 1/3πr^2√l^2-r^2 input the values and solve, then round to the nearest cubic foot and you get 302
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Person A is breathing five times as fast as person B. Compare the graphs of the breathing of the two people over time.
The period of the graph for person A is 5 times shorter than the period of the graph for person B.
The period of the graph for person A is 5 times longer than the period of the graph for person B.
The period of the graph for person A is 2 times longer than the period of the graph for person B.
The period of the graph for person A is 2 times shorter than the period of the graph for person B.
Answer:
A
Step-by-step explanation:
Focus on what the question is telling you, as it's given to you in the question. It's saying five times, which means "×5" the number of person B, so it'll always be 5 times quicker, since they're breathing more times in a certain period of time than person B.
Hopefully this helped!
Person A is breathing five times as fast as person B. Therefore, the period of the graph for person A is 5 times shorter than the period of the graph for person B.
In this scenario, person A is breathing five times as fast as person B. The period of a graph represents the time it takes for one complete cycle. Since person A is breathing faster, the period of their graph will be shorter than the period of person B's graph. So, the correct statement is:
The period of the graph for person A is 5 times shorter than the period of the graph for person B.
Which expression can be used to find the volume
of the rectangular prism in cubic centimeters?
The expression that can be used to find the volume of the rectangular prism is 20825 cm³.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The formula for the volume of a rectangular prism is given by:
V = A x h
where A is the area of the base and h is the height of the prism.
In this case,
The area of the base is given as 245 cm^2 and the height is given as 85 cm.
Therefore, we can substitute these values into the formula to get:
V = 245 x 85
Multiplying these values together, we get:
V = 20825 cm³
Therefore,
The expression that can be used to find the volume of the rectangular prism is 20825 cm³.
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HALP PLZ NOW
1) 1/2x + 1/4 = x
solve for x
Solve each system of equations algebraically.
how can we tell if a fraction 3/2 is equal to the square root of 2
The fraction 3/2 and square root of 2 are not equivalent because their decimal approximations (1.5 and about 1.41 respectively) are not the same.
Explanation:To determine if a fraction like 3/2 is equal to the square root of 2, we would need to compare their decimal values.
First, divide 3 by 2 to get the decimal value for the fraction, which is 1.5.
For the square root of 2, we can use a calculator and find that its approximate decimal value is 1.41.
Therefore, since 1.5 is not equal to 1.41, the fraction 3/2 is not equivalent to the square root of 2.
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The fraction 3/2 is not equal to the square root of 2. By comparing the values directly or using fractional exponents, we can see that squaring 3/2 gives us 9/4, which is not equal to 2, and numerically the square root of 2 is approximately 1.414.
To determine if the fraction 3/2 is equal to the square root of 2, we can compare them directly or convert them into the same format. Recall that fractional exponents serve as another way to represent roots. Specifically, an exponent of 1/2 equates to taking the square root of a number. Thus, [tex](3/2)^{2}[/tex] would equal 3/2 multiplied by itself, which is 9/4, and that is not equal to 2. Therefore, 3/2 is not the square root of 2. We can also numerically evaluate the square root of 2, which is approximately 1.414, and see that it does not equal 3/2, which is 1.5.
Another consideration is that the square root of any number x can be expressed as [tex]x^{1/2}[/tex]. For instance, [tex](\sqrt{2})^2[/tex] = 2 because [tex](2^{1/2})^2[/tex] equals [tex]2^{1/2 * 2}[/tex] = 2. When we do this with 3/2, we would have [tex](3/2)^{1/2} * (3/2)^{1/2}[/tex] = 3/2, which does not satisfy the equation for the square root of 2. Therefore, 3/2 is not equal to the square root of 2.
Which of the fractions is equivalent to 3/8 ?
2/7, 8/3, 9,24, 5/10
Answer:
3/8 = 9/24
because
3/8 = 0.375
and
9/24 = 0.375
Answer:
9/24.
Step-by-step explanation:
We can see this by finding how 9/24 is simply 3/8 but not simplified down all the way. Notice how when you try simplifying the others, they are either unable to be simplified further or simplify into something else.
2/7--> unable to simplify further.
8/3--> unable to simplify further.
9/24--> simplifies to 3/8.
5/10--> simplifies to 1/2.
Evaluate the expression.
StartFraction 16.8 minus 1.2 squared over negative 4.3 + 3 (negative 0.7) EndFraction = StartFraction 16.8 minus 1.44 over negative 4.3 + (negative 2.1) EndFraction
Answer:
-2.4
Step-by-step explanation:
The solution to the given expression is -2.4.
How to evaluate and solve the given expression?In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical expression:
[tex]\frac{16.8 - 1.2^2}{-4.3+3(-0.7)} =\frac{16.8 - 1.44}{-4.3 +(-2.1)}\\\\\frac{15.36}{-4.3-2.1} =\frac{15.36}{-4.3-2.1}\\\\\frac{15.36}{-6.4} =\frac{15.36}{-6.4}[/tex]
-2.4 = -2.4
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Complete Question:
Evaluate the expression.
[tex]\frac{16.8 - 1.2^2}{-4.3+3(-0.7)} =\frac{16.8 - 1.44}{-4.3 +(-2.1)}[/tex]
Given f(x) = 3x- 1 and g(x)=2x-3, for which value of x does g(x) = f(2)?
Answer:
x=4
Step-by-step explanation:
f(x) = 3x- 1 and g(x)=2x-3
f(2) means x=2
f(2) = 3(2)-1
f(2) = 6-1 =5
We want g(x) =5
5 = 2x-3
Add 3 to each side
5+3 = 2x-3+3
8 = 2x
Divide by 2
8/2 =2x/2
4=x
g(x) = f(2) when x=4
What’s the correct answer ??
Answer:
D
Step-by-step explanation:
Find the equation of a line through the points (3,7) and (5.11)
Answer:
y= 2x + 1
Step-by-step explanation:
We are asked to write an equation of that line that passes through points (3, 7) and (5, 11).
First of all, we will find slope of our given line using the coordinates of given points as:
Now, we will write our given equation in slope-intercept form , where m represents slope and b represents y-intercept.
Let us find the y-intercept using coordinates of point (3,7) and slope as:
Therefore, our required equation in slope-intercept form would be.
Which of the equations below could be the equation of this parabola?
Vertex (0, 0)
ОА. х = 3у2
Ов. х = -3y?
Ос. у= 3x2
O D. y=-3
Option C, [tex]y = 3x^2[/tex], is the equation that could represent the parabola with a vertex at (0, 0).
To determine which of the given equations could represent the parabola with a vertex at (0, 0), we need to consider the standard form of a parabolic equation: [tex]y = ax^2[/tex]
In this standard form, 'a' is a constant that determines the shape and orientation of the parabola. For a parabola with a vertex at (0, 0), the equation will be of the form [tex]y = ax^2[/tex].
Let's examine each option:
A. [tex]x = 3y^2[/tex]: This equation is not in the standard form [tex]y = ax^2.[/tex] It is a different type of equation and does not represent a parabola with a vertex at (0, 0).
B. x = -3y: Similarly, this equation is not in the standard form [tex]y = ax^2[/tex]. It represents a linear relationship between x and y, not a parabola.
C. [tex]y = 3x^2[/tex]: This equation is in the standard form [tex]y = ax^2[/tex], where a = 3. It represents a parabola with a vertex at (0, 0), so it could be the equation of the parabola in question.
D. y = -3: This equation is not in the standard form [tex]y = ax^2[/tex]. It represents a horizontal line with a constant value of -3, not a parabola.
Based on the analysis, Option C, [tex]y = 3x^2[/tex], is the equation that could represent the parabola with a vertex at (0, 0) in the standard form.
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Write 0.06 as a percent. Include the % symbol in your answer.
Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 40 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?
Answer:
120 minutes
Step-by-step explanation:
15 x 8 = 120
40 x 3 = 120
The Number of hours passed for both buses to arrive at the same time is the value of the least common multiple of the stop made by each bus. Hence, 120 minutes will pass before the buses arrive at the same time.
Bus route A = 15 minutes
Bus route B = 40 minutes
Multiples of :
15 = 15, 30, 45, 60, 75, 90, 105, 120, 13540 = 40, 80, 120, 160, 200, 240The least multiple common to both 15 and 40 is 120.
Therefore, 120 minutes will pass before both buses arrive at the same time.
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laura walks 3/5 mile to school each day. isaiah's walk to school is 3 times as long as lauras. how far does isaiah walk to school each day?
Answer:
[tex]\frac{9}{5}[/tex] miles.
Step-by-step explanation:
This problem requires you to multiply the length of Laura's walk by 3 to solve for Isaiah's walk to school.
[tex]\frac{3}{5}[/tex]×[tex]\frac{3}{1}[/tex]= [tex]\frac{9}{5}[/tex] miles.
Answer will get brainliest
1. outcome
2. probability
3. equally likely
4. likely
5. certain
6. unlikely
7. impossible
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What is one solution of the following system?
Answer:
I think it is b but let me check my answer
Step-by-step explanation:
Answer:
A. (-6,0) I got it right
Step-by-step explanation:
What is the slope?
A) 3/7
B) 7/3
C) -3/7
D) -7/3
Answer:
B) 7/3
Step-by-step explanation:
To find the slope of a line using a graph, locate two points. In this example, the points are (0, -2) and (3, 5).
Then, find the distance between the two points. To do so in this example, find the difference between 0 and 3, and -2 and 5.
3 - 0 = 3
5 - (-2) = 7
Since we're dealing with slope, the answer will be in y/x form. 7 is the distance between the y-coordinates and 3 is the difference between the x-coordinates, the answer is 7/3.
Answer: 7/3
Step-by-step explanation:
Count how many spaces you are going up from the first point to the second point and how many spaces over to the point
i need help please on the question below please show working out ill give you the brainliest the first on to answer
Answer:
4.5
Step-by-step explanation:
2.18 x 7.31 = 15.9358
15.9 + 4.92 = 20.85
20.85 = 4.5
4.5 , hope this helps! and have a great day
-Dhruva;)
Find the first digit of the sum
√595 + √1111
Answer:
24.39262183530094+33.33166662499792 is the answer
Step-by-step explanation:
57.72428846029885
therefore the first digit is 5
I want Brainliest
Answer:
57.7242884603 its 5
Step-by-step explanation:
what's the absolute value of -25
Answer:
Its 25.
Step-by-step explanation:
Answer: +25
Step-by-step-Explanation: Absolute value means distance from zero on a number line.
So for the absolute value of -25, it's important to understand
that -25 is 25 units from zero on a number line.
So the absolute value of -25 is +25.
Whenever you are asked to find the absolute value of a negative number, just think about finding the positive version of that number.
HELP PLEASE!!!
These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:
R(x) = -31.72x2 + 2,030x
C(x) = -126.96x + 26,391
The maximum profit of $ ____ can be made when the selling price of the dog food is set to $ ____ per bag.
Answer:
The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) -C(x)
= -31.72x^2 + 2,030x -( -126.96x + 26,391)
Distribute the minus sign
= -31.72x^2 + 2,030x+126.96x - 26,391
Combine like terms
= -31.72 x^2 + 2156.96 x - 26391
This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)
vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34
Evaluate P(x) at x=34 to determine the profit
P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391
-36668.32+73336.64-26391
10277.32
The maximum profit of $10,243.32 can be made when the selling price of the dog food is set to $947.17. per bag.
1. Define the profit function: Profit [tex](\( P(x) \))[/tex] is calculated by subtracting the cost function [tex](\( C(x) \))[/tex] from the revenue function [tex](\( R(x) \)):[/tex]
[tex]\[ P(x) = R(x) - C(x) \][/tex]
2. Substitute the given revenue and cost functions:
[tex]\[ R(x) = -31.72x^2 + 2,030x \][/tex]
[tex]\[ C(x) = -126.96x + 26,391 \][/tex]
3. Plug in the revenue and cost functions into the profit function:
[tex]\[ P(x) = (-31.72x^2 + 2,030x) - (-126.96x + 26,391) \][/tex]
[tex]\[ P(x) = -31.72x^2 + 2,156.96x - 26,391 \][/tex]
4. Find the x-coordinate of the vertex of the profit function:
The x-coordinate of the vertex is given by:
[tex]\[ x = \frac{-b}{2a} \][/tex]
where [tex]\( a = -31.72 \) and \( b = 2,156.96 \).[/tex]
[tex]\[ x = \frac{-2,156.96}{2*(-31.72)} \][/tex]
x ≈ 34
5. Calculate the maximum profit:
Substitute x ≈ 34 into the profit function:
P(34) ≈ [tex]-31.72(34)^2 + 2,156.96(34) - 26,391[/tex]
P(34) ≈ 10,243.32
6. Determine the selling price per bag that maximizes profit:
Plug x ≈ 34 into the revenue function to find the corresponding revenue:
[tex]\[ R(34)[/tex] ≈ [tex]-31.72(34)^2 + 2,030(34)[/tex]
[tex]\[ R(34)[/tex] ≈ [tex]32,183.68[/tex]
Divide the revenue by the quantity x ≈ 34 to find the selling price per bag:
[tex]\[ \text{Selling price per bag}[/tex] ≈ [tex]\frac{32,183.68}{34}[/tex] ≈ [tex]947.17[/tex]
So, the maximum profit is approximately $10,243.32, and the selling price per bag that maximizes profit is approximately $947.17.
The graph of a pair of linear equations is shown in the coordinate plane below.Which value is the x-coordinate of the solution?
HURRY PLEASE- MARK AS BRAINIEST AND GIVE 15 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE BE RIGHT!!!!!
The x-coordinate of the solution is -2 .
Which point is 12 units less than point Q?
(A).Point U
(B).Point R
(C).Point S
(D).Point V
Answer:
Point R
Step-by-step explanation:
Go back 12 points
Answer:
Point R
Step-by-step explanation:
Count back in points and you will figure it out
Determine whether each pair of functions are inverse functions. Picture attached.
Answer:
The correct answer is B.
A park ranger spent $208 to buy 12 trees.
Redwood trees cost $24 each and
spruce trees cost $16 each. How many of
each tree did the park ranger buy?
Let x represent number of redwood trees and y represent number of spruce trees.
We have been given that a park ranger bought 12 trees. We can represent this information in an equation as:
[tex]x+y=12...(1)[/tex]
[tex]y=12-x...(1)[/tex]
We are also told that redwood trees cost $24 each, so cost of x redwood trees would be [tex]24x[/tex].
Each spruce tree costs $16, so cost of y spruce trees would be [tex]16y[/tex].
Since the park ranger spent $208 on trees, so we can represent this information in an equation as:
[tex]24x+16y=208...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]24x+16(12-x)=208[/tex]
[tex]24x+192-16x=208[/tex]
[tex]8x+192=208[/tex]
[tex]8x+192-192=208-192[/tex]
[tex]8x=16[/tex]
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Therefore, the park ranger bought 2 redwood trees.
Upon substituting [tex]x=2[/tex] in equation (1), we will get:
[tex]y=12-x\Rightarrow 12-2=10[/tex]
Therefore, the park ranger bought 10 spruce trees.
The park ranger bought 2 redwood trees and 10 spruce trees.
To solve this problem, we can set up a system of equations based on the given information:
Let x represent the number of redwood trees.Let y represent the number of spruce trees.We have two pieces of key information:
The total cost of the trees is $208.The total number of trees is 12.This gives us two equations:
24x + 16y = 208 (total cost equation)x + y = 12 (total number of trees equation)We can solve this system using substitution or elimination. Let's use substitution:
From the second equation, solve for y: y = 12 - x.Substitute y in the first equation: 24x + 16(12 - x) = 208.Simplify and solve for x: 24x + 192 - 16x = 208 → 8x = 16 → x = 2.Substitute x back into the equation for y: y = 12 - 2 → y = 10.Therefore, the park ranger bought 2 redwood trees and 10 spruce trees.
5+3+2=151022
9+2+4=183652
8+6+3=482466
5+4+5=202541
7+2+5=????? will mark brainest
7+2+5=????? will mark brainest 14
Armando found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 18 inches, width of 5 inches, and height of 8 inches. A triangular prism with a base of 18 inches and height of 6 inches. The prism has a height of 5 inches.
What mistake, if any, did Armando make?
Armando determined the volume correctly.
Armando used the wrong formula for the total volume.
Armando used the wrong dimensions for the triangular prism.
Armando did not apply the order of operations correctly.
Armando use the wrong demensions for the triangular prism?Answer:
Step-by-step explanation:
The mistake is Armando used the wrong dimensions for the triangular prism, the correct option is C.
How to find the volume and base's area of a right rectangular pyramid?Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]
is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
We are given that;
Height of pyramid= 6in
Dimensions of prism= 8*18*5
Now,
To find the area of the triangular base, he should have used:
A=21bh
A=21(18)(6)
A=54
Therefore, by the rectangular prism the answer will be Armando used the wrong dimensions for the triangular prism.
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