The expression equivalent to given expression is -1/(4x²+9x+5).
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is 4/(4x+5) -1/(x+1)
Here, 4(x+1)-(4x+5)/(4x+5)(x+1)
= (4x+4-4x-5)/(4x²+5x+4x+5)
= -1/(4x²+9x+5)
Therefore, the expression equivalent to given expression is -1/(4x²+9x+5).
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CARD #5 A seahorse is one of the slowest moving creatures at just 0.5 miles per hour, or 0.00073 feet per millisecond. Write the feet per millisecond in scientific notation.
The value 0.00073 feet per millisecond. in scientific notation is 7. 3 × 10⁴ feet per millisecond
What are index forms?Index forms are described as mathematical methods of writing or representing numbers that are too large or two small in more convenient forms.
They are written in the forms of exponents of numbers or variables,
There are other names for index forms which are scientific notation and standard forms.
From the information given, we have that;
The seahorse moves 0.5 miles per hour, or 0.00073 feet per millisecond
In converting 0.00073 feet per millisecond into index forms
count the number of zeros to the first significant number
7. 3 × 10⁴ feet per millisecond
Hence, the value is 7. 3 × 10⁴ feet per millisecond
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HEEEELLLPPPP PLEASEEEE!!
How would I find the equivalent rate of $33,000/1year????
The equivalent of the rate is $2750 per month
How to determine the equivalent rateFrom the question, we have the following parameters that can be used in our computation:
The equivalent rate of $33,000/1year
There are 12 months in a year
So, we have the following representation
Rate = $33,000/12 months
Evaluate the quotient
Rate = $2750 per month
Hence, the equivalent rate is $2750 per month
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Find X and m
i did 180-64 for the 116, now what?
ASAP
Need help 7 1/2x- 1/4= 2/3 whats X
Answer:
x = 11/90 = 0.122
Step-by-step explanation:
7[tex]\frac{1}{2}[/tex]x - [tex]\frac{1}{4}[/tex] = [tex]\frac{2}{3}[/tex]
15/2x - 1/4 = 2/3
90/12x - 3/12 = 8/12
90/12x = 8/12 + 3/12
90/12x = 11/12
x = (11/12)(12/90) = 132/1080 = 11/90
1.
The function
H(x)=-0.0005(x-1905)² +310 models the horsepower at the wheels of a vehicle with
a poorly maintained diesel engine as a function of the engine speed x, in revolutions per minute (rpm),
where 1600≤x≤2100. What is the engine speed, in rpm, at which the vehicle's estimated
horsepower at the wheels is greatest?
The engine's speed at which the vehicle's estimated horsepower at the wheels is greatest is given as follows:
1905 rpm.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by the following rule:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The value of h for this problem is given as follows:
h = 1905 rpm.
As the leading coefficient is negative, for h = 1905, the output has the maximum value.
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Luzia ran the 400-meter race three times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If
Luzia’s average time was 54.0 seconds, what was her time, in seconds, for the third lap
The answer is 53.7
The solution is, 53.5 sec was her time, in seconds, for the third lap.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Given
Number of times Lucia ran the race=n=3
Slowest time= x_1=56.3 sec
Fastest Time= x_2=52.2 sec
Average time=54.0 sec
Since, we know the average time and two of the three race times, we can use the average formula to calculate the third race’s time.
Let
x_3=the third race^' s time
So,
Average=(Sum of values)/(Number of values)
Average = (x_1+ x_2+ x_3)/n
Putting the values
54.0= (56.3+ 52.2+ x_3)/3
Multiplying 3 with 54.0 and adding 56.3 and 52.2
162= 56.3+52.2+ x_3
162= 108.5+ x_3
x_(3 )=162-108.5
x_(3 )=53.5 sec
Hence, The solution is, 53.5 sec was her time, in seconds, for the third lap.
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Given parallelogram L M N O below, LP = 81 If PN = -7x-3 solve for x
Answer:-12x
Step-by-step explanation:
just trust me on this
Interior angles of triangles
Angle measures pls help!!
For the triangle ABC the interior angles measures ∠A = 48°, ∠B = 82°, and ∠C = 50°.
What are triangles?
Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.
According to the angles of a triangle theorem, the sum of angles of a triangle is 180°.
The measure of ∠A = 4x.
The measure of ∠B = 7x - 2.
The measure of ∠C = 5x - 10.
The equation is -
∠A + ∠B + ∠C = 180°
Substitute the values into the equation -
4x + 7x - 2 + 5x - 10 = 180
Collect the like terms -
4x + 7x + 5x = 180 + 2 + 10
16x = 192
x = 192/16
x = 12°
So, the measure of ∠A = 4(12) = 48°.
The measure of ∠B = 7(12) - 2 = 82°
The measure of ∠B = 5(12) - 10 = 50°
The interior angles of the triangle are 48°, 82° and 50°.
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A toy company is designing a new cylindrical container for their
interlocking block product. The height h (in inches) and the radius r (in inches) are related by the inequality h ≥ 0.32. The toy company has the following additional constraints. DUE IN 5 MINS HELPPPP
The possible set of dimensions for the container
radius = 8 inches, height = 21 inches:
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
A) radius = 21 inches, height = 21 inches:
The inequality h > 0.3r² is satisfied (21 > 0.3 * 21^2).
The height must be no more than 15 inches greater than the radius
=21 - 21 <= 15), which is satisfied.
The area of the base must be at least 36pi square inches
= πr² ≥ 36pi, which is not satisfied ( πr² < 36π).
So, option A is not a possible set of dimensions.
B) radius = 8 inches, height = 21 inches:
The inequality h > 0.3r² is satisfied (21 > 0.3 x 8²).
So, The height must be no more than 15 inches greater than the radius (21 - 8 ≤ 15), which is satisfied.
The area of the base must be at least 36π square inches
= π(8²) ≥ 36π
So, option B is a possible set of dimensions.
C) radius = 7 inches, height = 23 inches:
The inequality h > 0.3r^2 is satisfied (23 > 0.3 x 7^2).
The height must be no more than 15 inches greater than the radius
= (23 - 7 ≤ 15), which is satisfied.
and, Area of the base
= (π (7)² < 36pi) not satisficed.
So, option C is not a possible set of dimensions.
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Please solve for all,50 pt need done in 10 mins please
The table in the question which the values from the graph of the parabola is inputed is presented as follows;
Name [tex]{}[/tex] Key Feature Name Key Feature
x-intercepts[tex]{}[/tex] (-1, 0), (3, 0) Increasing (-∞, 1)
y-intercept[tex]{}[/tex] (0, 3) Decreasing (4, ∞)
Vertex[tex]{}[/tex] (1, 4) Positive (-1, 3)
Axis of symmetry[tex]{}[/tex] x = 1 Negative (-∞, 1), (3, ∞)
Domain[tex]{}[/tex] (-∞, ∞) Range (-∞, 4]
What is a parabola?The graph of a parabola is a u (or n) shaped curve obtained by the intersection of a cone and a plane which is parallel to the slant of the cone.
The x-intercepts are the point the graph intersects the x-axis, where the y-value is zero, y = 0. From the graph, the x-intercepts are;(-1, 0), and (3, 0)
The y-intercept is the point at which the graph intersects the y-axis, which is the point the x-value is 0, (x = 0). The graph indicates that the y-intercept is (0, 3)
The vertex of the parabolic graph is the highest (or lowest) point on the graph, therefore, from the graph in the question, the vertex point is; (1, 4)
The axis of symmetry is the line that divides the graph into two mirror halves, which is the line passing through the vertex and parallel to the y-axis. The axis of symmetry is therefore the line; x = 1
The domain is the set of the possible input values of the graph of the function, which is the set of the possinble x-values.
The graph indicates that the x-values can decrease and increase to -∞ and ∞. The domain is therefore; (-∞, ∞).
The region where the graph is increasing is fro x = -∞ to just before x = 1. The interval where the graph is increasing is therefore; (-∞, 1)
Similarly, the interval the graph is decreasing is; (4, ∞)
The graph is positive in the region above the x-axis. The interval over which the graph is positive is therefore between the x-intercepts, which is; (-1, 3)
The graph is negative in the region below the x-axis. The interval in which the graph is negative are; (-∞, 1), and (3, ∞)
The range is the set of possible output of the graph, therefore, the range is the set of the possible y-values, which is; (-∞, 4]
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Suppose a certain insect eats 1/8 gram of food each day. How many days would it take the insect to eat 5 grams of food
Answer:
40 days
Step-by-step explanation:
We know
A certain insect eats 1/8 gram of food each day.
How many days would the insect take 5 grams of the food?
We take
5 divided by 1/8 = 40 days
So, it would take the insect 40 days to eat 5 grams of the food.
Answer:40 days
Step-by-step explanation: first, how many days would it take for the insect to eat 1 gram of food? it would take 8 days so if it wants to eat 5 grams of food 8x5=40 so it would take 40 days for the insect to eat the food
Which of the given values will make the inequality n - 93 > 175 true?
A n = 82
B n = 105
C n = 268
D n = 300
E n = 312
In the given choices, both (D) n = 300 and (E) n = 312 satisfies the inequality. So for both these options, the inequality is true.
We can solve for n by adding 93 to both sides of the inequality:
n - 93 > 175
Adding 93 on both sides
n - 93 + 93 > 175 + 93
n > 268
Therefore, the value of n that makes the inequality true is greater than 268.In the given options, n = 300 and n = 312 satisfy this condition. So this is inequality is true for both cases. The answer choice that fits this is (D) n = 300 and (E) n =312.
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Consider two dots, X and Y, 7cm apart horizontally.
a. Draw the locus of points equidistant from X and Y.
b. A third dot Z is 6cm below X. Mark clearly the point equidistant from X, Y, and Z on your diagram in part a.
The image showing the locus points equidistant from X, Y, and Z is B. See the attached image.
What does it mean for a point to be equidistant?If the distances between a point and each object in the set are equal, the point is said to be equidistant from the set.
When a point is equidistant from two other points, it is at the same distance from both of them. The distance between two points may be computed using the distance formula and the coordinates of the two points.
In geometry, a locus is a set of points that satisfy a specific condition or circumstance for a form or figure. The locus is pluralized as loci. The region is the location of the locus. The term locus comes from the word location.
Thus, the point that is equidistant from X, Y, and Z is B.
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in how many possible ways can the selection be made so that the value of the coins is at least 25 cents?
There are 56 possible ways to make a selection of coins so that the value is at least 25 cents.
The total number of possible ways to make a selection of coins so that the value is at least 25 cents is calculated using the formula:
# of ways = (n+r-1Cr-1)
Where n is the number of coin denominations available and r is the number of coins needed to make the selection.
In this case, n = 5 (1 cent, 5 cents, 10 cents, 25 cents, 50 cents) and r = 4. Therefore, the number of ways to make a selection of coins so that the value is at least 25 cents is calculated as:
of ways = (5+4-1C4-1)
of ways = (8C3)
of ways = 56
Therefore, there are 56 possible ways to make a selection of coins so that the value is at least 25 cents.
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which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.
Describe a function.A relationship between inputs and outputs in which each input is connected to only one output is called a function.
For instance, f(x) = 2x + 1; f(1) = 2 + 1; f(2) = 2 x 2 + 1; 4 + 1; and so on.
The functions' 3 and 5 outputs are
The function's arguments are 1 and 2.
We've got
The graph's coordinates are as follows.
(3, -1), (2, 3), ), (-4, 2), and (-2, -3) (-2, -3)
Having said that,
Many-to-one but not one-to-many can exist in a function.
We therefore cannot have (-2, 0), (-2, 3). because we already had (-2, 3) and (3, 0). (3, -1).
This indicates an impossibility of a one-to-many function.
It is feasible (0, 3).
As a result, the ordered pair that can be plotted together with these four points is (0, 3). Option C is the correct answer.
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Which of the following statements are equivalent to the statement "price increased by 1/2 of what is it was before"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter of what it was before
(D) The price became a half of what it was before
(E) The price is now 1.5 greater than what it was before
(F) The price now is 66 2/3 % of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Answer:
B
Step-by-step explanation:
We always look original price for 1 or 100%, now increase 1/2, that is 50%
So now it is 100%+50%=150%
Geometry help needed!!
The value of the missing angles x , y, and z are 63⁰ , 63⁰ and 72⁰ respectively.
What is the value of the missing angles?
The value of the missing angles is calculated by applying the following mathematical method.
x + 85⁰ + 32⁰ = 180⁰ ( sum of angles in a triangle )
x = 180 - 117 = 63⁰
y = x = 63 ⁰ ( opposite angles )
z + y + 45⁰ = 180⁰ ( sum of angles in a triangle )
z + 63 ⁰ + 45⁰ = 180
z = 72⁰
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[(2/5)^12(3/16)^-8] x [(2/5)^12(3/16)^-8)]^-1
The solution of the given expression will be 1.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
We are given the expression as;
[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}[/tex]
Therefore, we can write as the fraction form;
[tex][(2/5)^{12}(3/16)^{-8}] \times [(2/5)^{12}(3/16)^{-8}]^{-1}\\\\[/tex]
[tex]\dfrac{[(2/5)^{12}(3/16)^{-8}] }{ [(2/5)^{12}(3/16)^{-8}]}[/tex] = 1
Then it will cancel out so,
= 1
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What is the greatest number that rounds to 600 and what is the least number that rounds to 600
Answer:
599 and 550
Step-by-step explanation:
I'm not sure but I think it's 599 and 550
which measure of center best describes the data set {2,3,4,5,8,8,9,9}
A. Mean
B.Median
C.Mode
D.Range
How many bagels can you buy for $50?
A shop sells bagels for $5 per dozen. You can use the table to answer the questions. Explain your reasoning.
number of bagels price in dollars
12 5
The linear equation is 12y = 5x. Then the number of bagels when you buy for $50 will be 120 bagels.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A shop sells bagels for $5 per dozen.
Let 'x' be the number of bagels and 'y' be the total cost. Then the equation is given as,
y / x = 5 / 12
12y = 5x
The number of bagels when you buy for $50 will be given as,
12(50) = 5x
600 = 5x
5x = 600
x = 120
The number of bagels when you buy for $50 will be 120 bagels.
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The rectangular floor of a classroom is 30 feet in length and 33 feet in width. A scale drawing of the floor has a length of 10 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The perimeter of scale drawing of rectangular classroom floor is 42 inches.
Based on the mentioned information, let us first calculate the width of floor of classroom according to the scale drawing.
Length/width of original classroom floor = length/width of scale drawing
30/33 = 10/width
As we know, 1 foot = 12 inches
So, length = 360 inches and width = 396 inches
Width = (396 × 10)/360
Cancelling zero as it is common in both numerator and denominator
Width = 396/36
Performing division on Right Hand Side of the equation
Width = 11 inches
Perimeter of scale drawing = 2 (length + width)
Perimeter = 2( 10 + 11)
Performing addition
Perimeter = 2 × 21
Performing multiplication
Perimeter = 42 inches
Thus, perimeter of the rectangle is 42 inches.
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What is the End behavior
Answer: In math End Behavior describes a graph at its end values. To explain, it is the high values and what the graph would like like as x values get very high and how it would look for the y values. Also, in terms of graph looks, this could be an exponential or logarithmic curve as values get very high. Think about End Behavior as the graphical patterns when the values get high. Hope this helps! Please give this a brainiest if this was helpful as I am one away from the next rank.
Step-by-step explanation:
Answer:I hope this helps
Step-by-step explanation:
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
End behavior refers to the appearance of a graph as it is followed indefinitely in either horizontal direction. Leading coefficient POSITIVE: both "ends" are UP. Leading coefficient NEGATIVE: both "ends" are DOWN. Leading coefficient POSITIVE: left end is DOWN and right end is UP.
If the degree is odd and the lead coefficient is positive, then the right end of the graph will point up and the left end will point down. If the degree is odd and the lead coefficient is negative, then the right end of the graph will point down and the left end will point up
how many weeks will Nayati and Tatiana have to continue to save until they both have the same amount in saving and they can go on their road trip?
Nayati and Tatiana will have the same amount of savings after ? weeks.
Equating both equations, Nayati and Tatiana will have the same amount of savings after 21 weeks.
What are equations?Equations are mathematical statements that show that there is equality between two or more mathematical expressions.
Equations are depicted using the equation symbol (=).
Nayati Tatiana
Savings $240 $450
Weekly savings $40 $30
Equations:Nayati total savings = 40w + 240
Tatiana total savings = 30w + 450
To determine the number of weeks when their savings will be equal, the two equations will be equated as follows:
40w + 240 = 30w - 450
10w = 210
w = 21
= 21 weeks
Thus, we expect Nayati and Tatiana to embark on their road trip after 21 weeks.
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y = -8x - 21 y = 6x + 7 solve in Equal Values Method
The solution to the system of linear equations using the Equal Value Method is Y = -(8y / 6) - 21.
The Equal Value Method is a technique used to solve a system of linear equations. To solve a system of linear equations using the Equal Value Method, we first write out the two equations. In this case, we have the two equations:
Y = -8x - 21
y = 6x + 7
Next, we need to solve one of the equations for one of the variables. We can solve for x in the first equation, giving us x = (-21 - Y) / -8. We can then substitute this into the second equation, giving us y = (6(-21 - Y) / -8) + 7. We can then expand and simplify this equation, giving us y = (126 + 6Y) / -8.
Finally, we can set the two equations equal to each other and solve for Y. This will give us 126 + 6Y = -8y, which simplifies to 6Y = -8y - 126. We can then divide both sides by 6 to get Y = -(8y / 6) - 21.
Therefore, the solution to the system of linear equations using the Equal Value Method is Y = -(8y / 6) - 21.
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the bus for jaipur leaves every 25 min
Answer:
what we should do when we leave for every 25minutes
Find the slope and the y-intercept of the line.
1
y=-x+5
x+5
slope:
y-intercept:
1
KANSER
LANTERERS
8
X
The slope and the y-intercept of the line are -1 and 5 respectively
How to determine the slope and the intercept of the lineIt is important to note the general formula for the equation of a line is expressed with the formula;
y = mx+ c
Where the noted parameters of the equation are;
y is a point on the y -axis of the line m is the gradient or slope of the linex is a point on the x-axis of the linec is the intercept of the line on the y -axisFrom the information given, we have the equation of the line as;
y = -x + 5
Now, we can have the parameters as;
Intercept, c = 5
Slope of the line, m = -1
Hence, the values are 5 and -1
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I need help with this one asap
Answer:
-3
Step-by-step explanation:
-3×(-3)×(-3)= 9×(-3)
= -27
please help and answer the following proof! WIll give brainliest
The proof for UX || VW is shown below.
What is Mid point Theorem?According to the midpoint theorem, "The line segment in a triangle joining the midpoint of any two of the triangle's sides is said to be parallel to its third side and is also half the length of the third side."
Given:
As, TUX and TVW are similar.
So, the ratio of their corresponding sides are equal.
So, TU/ TV = UX/ VW = TX / TW = 1/2 {TU/ TV = 1/2}
By using mid point Theorem
UX = 1/2 VW
Then, UX || VW.
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. Find the cost of 300 units of electricity if the first 75 units are charged at 12k each and the remainder at 35k each. Express your answer in naira and kobo