hope it helps
comment if u have any questions
Evaluate the following expression when x = -2, y = 5, and t= 8.
[x]+3t-9y
Answer:
the answer is -23 let me if you have questions
4. Sketch the graph of F(x) = 1 +x/x²-1
The graph of the function is attached below.
What is the graph of a function?The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.
Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.
We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.
In the given problem;
The graph of the function f(x) = 1 + x / x² - 1 is attached below;
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celine is drake’s granddaughter. Her age is 4 years greater than 1/3 of drake’s age . if celine is 28 years old , how old is drake ?
Which equation represents this situation?
1) 4d - 1/3 = 28
2)1/3d - 4= 28
3) 1/3 + 4= 28
4) 4d + 1/3 = 28
Answer:
It should be 1/3d+4=28, but i dont see that option
Step-by-step explanation:
All the other ones are wrong. Its plus 4 because it states that its 4 years greater not lesser. Greater in the context means that its addition of 4.
idk if theres a typo or something but yeah.
Find n if (n + 1)! = 16n! + 16(n-1)!
Step-by-step explanation:
(n+1)! = (n+1)n(n-1)(n-2)...×3×2
16n! = 16n(n-1)(n-2)...×3×2
16(n-1)! = 16(n-1)(n-2)...×3×2
we can now divide both sides by (n-1)! and get
(n+1)n = 16n + 16
n² + n = 16n + 16
n² - 15n - 16 = 0
1×n² - 15n - 16 = 0
we try to bring this into a form
(n + a)(n - b)
one factor has to contain "-", because we have "-16".
and because -15 = 1 - 16, we see that
a = 1
b = 16
n² - 15n - 16 = (n + 1)(n - 16)
and that is 0, when at least one of the factors is 0, because 0×... = 0.
so, the solutions are
n = -1
n = 16
n = -1 does not make any sense for n!
so, n = 16 is the solution.
Please help me it due today at 7:10pm please help me
Answer:
that is easy false hope u get it to By 7:10
Factorise this expression as fully as possible
2x2 + 6x
Answer:
The factored expression is: \(2x(x + 3)\)
Step-by-step explanation:
We are given the following expression:
\(2x^2 + 6x\)
To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:
Numeric:
GCF between 2 and 6 is 2, because:
2 - 6| 2
1 - 3|
1 and 3 are not divisible by the same number, so 2.
Coefficient:
Between x² and x, x.
Factorizing:
Simplifying by 2x.
\(2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)\)
The factored expression is: \(2x(x + 3)\)
Perimeter is 20cm. Can you find the missing side of the rectangle? Width is 6cm
The perimeter P of the rectagle is
\(P=2W+2H\)where W is the width and H the height.
By substituting the given values into the perimeter, we have
\(20=2\cdot6+2\cdot H\)which is equal to
\(20=12+2W\)and we need to isolate W. This can be obtained by moving +12 to the left hand side as -12. It yields,
\(\begin{gathered} 20-12=2W \\ 8=2W \end{gathered}\)and finally, W is given by
\(\begin{gathered} 2W=8 \\ W=\frac{8}{2} \\ W=4 \end{gathered}\)That is, each of the remaining sides measure 4 cm
Select Yes or No to state whether each data set is likely to be normally distributed
Answer:
No
Step-by-step explanation:
no more animals in zoo
no average of animals at San Diego zoo is high
no visitors are more than 2k
Answer:
Step-by-step explanation:
average age of an elephant at a zoo- YES
number of elephants at the San Diego Zoo- NO
number of daily visitors at the San Diego Zoo- YES
took the test :)
3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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which is equivalent to the expression 2/3(d + 6)
Given: tangent to Circle O.
If m = 140°, then A =
The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Join the points B and O and then join points D and O
Angle A = (1/2)Angle BOD
Angle B = 140 degrees
Angle A = (1/2)140 degrees
Angle A = 70 degrees
Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.
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lim(x→1)〖(2x2+x−1)/(2x−1)
Can you guys answer it in number order for 4 its same as previous numbers
Answer:
9
Step-by-step explanation:
i think i saw that
Help pls any kind soul pls help
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.
If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?
The numbered spot at which all the runners will be next to one another is spot 19.
What is the LCM?Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.
Starting with the runner on the outside track, the provided parameters are;
The runner covered n₁ = 5 places on the outside track, which is the number of spaces.
Next, the inner runner will traverse n₂ spaces, which equals one space.
The following inner runner will cover n₃ = 3 spaces.
The subsequent runner will traverse n₄ = 2 spaces.
The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.
LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.
Time = 30/ = 6
Consequently, when the first runner has covered 30 places, we have;
Six time units have been expended.
The runner comes to a stop at position 30- (30 -19) = Position 19.
First runner's new destination is Spot 19.
The distance covered simultaneously by runner 2 is 6 x 1 = 6.
The distance covered by two runners running simultaneously equals six spaces.
Second runner's new position: 6 spaces plus spot 13 equals spot 19.
The combined distance covered by the three runners is 6 x 3 = 18.
The distance runner 3 covers 18 spaces simultaneously.
Third runner's new position: 18 spaces + Spot 1 = 19 spaces
Runner 4 covers a distance of 6 x 2 = 12 at the same time.
Distance runner 4 journeys equals 12 spaces
Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.
Therefore, all the runners will be next to one another is spot 19.
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An investment of R1 500 000, made two years ago, has increased in value to R1 700 000, and has delivered R40 000 worth of dividends over the two years. What is the return on the investment? 1.6% 2.16% 3.28% 4.33%
Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.
We can use the following formula to calculate ROI:
ROI = (gain from investment - cost of investment) / cost of investment
where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.
Using the values given in the question, we can calculate the ROI as:
ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000
ROI = 0.16 or 16%
Therefore, the return on the investment is 16%.
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Hey I need help can u just salve the following questions because I don't get it.
Answer:
I dont know but I can direct.
Step-by-step explanation:
The median is a middle number in a sorted, ascending or descending, list of numbers.
The quartile measures the spread of values above and below the mean by dividing the distribution into four groups.
The interquartile range describes the middle 50% of values when ordered from lowest to highest.
Answer: median: 133.5
first quartile: 128
third quartille: 139
interquartille range: 11
Step-by-step explanation:
just need help with some of them at least 5 questions please already did the first one. i put 90 points please help.
2. The solution to the given system of equation is x = 1 and y = 6
3. The solution to the given system of equations is x = 1, y = 2
4. The simplified form of the expression is y²
5. The simplified form of the expression is 2
8. the subtraction of the polynomials yields -2x³ + 3x² + 9x - 11
9. The multiplication yields x² - 4x - 96
10. The factored form of the expression is (x + 6)(x- 6)
11. The solutions to the given quadratic equation are x = 5 and x = -6
Solving system of equationsFrom the question, we are to solve the given system of equations
The given system of equation is
y = 10 - 4x --------- (1)
2x + 3y = 20 --------- (2)
Substitute equation (1) into equation (2)
2x + 3y = 20
2x + 3(10 -4x) = 20
2x + 30 - 12x = 20
2x - 12x = 20 - 30
-10x = -10
x = -10/-10
x = 1
Substitute the value of x into equation (1)
y = 10 - 4x
y = 10 - 4(1)
y = 10 - 4
y = 6
Hence, the solution to the given system of equation is x = 1 and y = 6
3.
From the question, we are to solve the system of equations using the elimination method
The given system of equations is
5x + 2y = 9
-5x + 4y = 3
Add the two equations
5x + 2y = 9
-5x + 4y = 3
----------------------
0x + 6y = 12
6y = 12
y = 12/6
y = 2
Substitute the value of y into the first equation
5x + 2y = 9
5x + 2(2) = 9
5x + 4 = 9
5x = 9 - 4
5x = 5
x = 5/5
x = 1
Hence, the solution to the given system of equations is x = 1, y = 2
4. From the question, we are to simplify the expression
y⁻⁴(y³)²
First, multiply the exponents in (y³)²
(y³)² = y ³ ˣ ²
= y⁶
Thus,
The expression becomes y⁻⁴y⁶
Applying the multiplication law of indices
y⁻⁴y⁶ = y⁻⁴ ⁺ ⁶
= y²
Hence, the simplified form of the expression is y²
5.
From the question, we are to simplify
∛8
First, express 8 in exponent form
8 = 2³
Thus,
The expression becomes
∛2³
Applying one of the laws of indices,
∛2³ = (2³)¹/³
Multiplying the exponents, we get
2¹
= 2
8.
From the question, we are to subtract the polynomial
(3x² + 5x - 8) - (2x³ - 4x + 3)
Subtracting
(3x² + 5x - 8) - (2x³ - 4x + 3)
3x² + 5x - 8 -(2x³ - 4x + 3)
Open the parentheses by distributing negative
3x² + 5x - 8 -2x³ + 4x - 3
Collect like terms
-2x³ + 3x² + 5x + 4x - 8 - 3
Simplify
-2x³ + 3x² + 9x - 11
Hence, the subtraction of the polynomials yields -2x³ + 3x² + 9x - 11
9.
From the question we are to multiply
(x + 8)(x - 12)
Applying the distributive property
x(x -12) +8(x -12)
x² - 12x + 8x - 96
Simplifying
x² - 4x - 96
10.
From the question, we are to factor
x² - 36
This can be written as
x² - 6²
From the rule of difference of two squares, we have that
a² - b² = (a + b)(a - b)
Thus,
x² - 6² = (x + 6)(x- 6)
11.
From the question, we are to find the solutions for
x² - x - 30 = 0
Solve by factoring
x² - x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x - 5)(x + 6) = 0
∴ x - 5 = 0 and x + 6 = 0
x = 5 and x = -6
Hence, the solutions to the given quadratic equation are x = 5 and x = -6
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f f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g
The value of the function operation f - g(x) is 3x² + x
What is Function OperationsFunction operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.
Addition and subtraction of functions:
A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.
Multiplication of functions:
Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.
Composition of functions:
Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.
In this problem, we have two functions which are;
f(x) = 3x² + 1g(x) = 1 - xThe value of (f - g)(x) = 3x² + x
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Out of all of the topics covered so far in the course (whole numbers, fraction notation: multiplication, division, and mixed numerals), which did you enjoy the most? Which do you enjoy the least? Why?
Answer: I would say I've liked multiplication the most and division the least! I have always gotten multiplication because.. I don't really know. It's just easy for me. I can't really explain. For multiplication though.. I have never gotten it. It is the exact opposite. I've never understand how you have to skip a digit because you can't divide it to the other number.
Step-by-step explanation:
Hope this helps! This is my opinion.
I made this don't copy my answer
Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.
Given △QRS ~ △XYZ, what is the value of tan(Q)?
Three-fifths
Three-fourths
Four-fifths
Answer:three-fourths
Step-by-step explanation:
because my dad said it was right
Find the area of the trapezoid.
14 mm
15 mm
36 mm
1. 270 mm²
2. 375 mm²
3. 750 mm²
5. 3780 mm²
Answer: no one cares
Step-by-step explanation:
because it's to hard\(\pi \pi \pi \pi \pi \pi \pi \pi \pi \pi \pi \pi \pi \left \{ {{y=2} \atop {x=2}} \right. x_{123} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right. \sqrt{x} \sqrt{x} \sqrt{x} \alpha \pi x^{2} x^{2} x^{2} \\ \\ \neq \pi \pi 5069967.94389438.494898 that's the answer\)Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed. Using weight as the explanatory variable, what is the slope of a line between these two points? Answer choices are rounded to the nearest hundredth.
a. $0.13 / Ib.
b. $4.00 / Ib
c. $6.25 / Ib.
d. $7.75 / Ib.
Answer:
a. $0.13 / Ib.
Step-by-step explanation:
Slope of a line:
Suppose we have two data-points in a line. The slope is given by the change in the output divided by the change in the output.
In this question:
Input: weight(in pounds)
Output: Weekly cost to feed.
A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed.
Inputs: 0.5, 62.5
Outputs: 2, 10
Change in the outputs: 10 - 2 = 8
Change in the inputs: 62.5 - 0.5 = 62
Slope: \(m = \frac{8}{62} = 0.13\)
So the correct answer is given by option A.
Answer:
0.13
Step-by-step explanation:
Mr. Griggs took his two daughters to the movies to see Frozen 2. He paid 19 dollars in all for the tickets. An adult ticket costs 9 dollars. Write and solve an equation to find how much each child ticket cost.
Answer:
19 - 9 = 2x
$5 per child ticket
Step-by-step explanation:
19 - 9 = 2x
10 = 2x
10 ÷ 2
X= 5
$5 per child ticket
a over 5 + 3 =8 and 3b over 7 - 1 =5
Answer:
first one is a=25
second one is b=14
Step-by-step explanation:
Step-by-step explanation:
a)a=25
b)b=14
..................
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the annual percentage rate is 15.6% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.
Given:
Average daily balance for November = $700
Unpaid balance at the end of November = $1,400
Annual percentage rate (APR) = 15.6%
Step 1: Calculate the interest charged for the month of November.
Interest = (Average daily balance * APR * Number of days in the month) / 365
Number of days in November = 30
Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)
Step 2: Add the interest to the unpaid balance to get the total balance on December 1.
Total balance = Unpaid balance + Interest
Total balance = $1,400 + $36.44 = $1,436.44
Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).
The total balance on the next billing date December 1 is $1,509.20.
What is an annual percentage rate?The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).
Given,
The average daily balance of a credit card for November = is $700Unpaid balance at the end of the month = $1,400The annual percentage rate = 15.6%Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700
\(\sf = \$109.20\)
Balance on 1st December = unpaid balance at the end of November + percentage rate
\(\sf = $1400 +$109.20\)
\(\sf =\$1509.20\)
Therefore, the total balance on the next billing date December 1 is $1,509.20.
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Order the quotients of these expressions from least to greatest.
42.6 ÷ 70
42.6 ÷ 0.7
426 ÷ 70
42.6 ÷ 0.07
A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 5.7 days. The average brightness of this star is 5.0 and its brightness changes by ±0.25. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function B(t) = 5.0 + 0.25 sin 2πt 5.7 .Find the rate of change of the brightness after t days.
Correct expression of B(t) is;
B(t) = 5.0 + 0.25 sin(2πt/5.7)
Answer:
B'(t) = (5π/57)cos(2πt/5.7)
Step-by-step explanation:
We are given;
B(t) = 5.0 + 0.25 sin(2πt/5.7)
Now the rate of change of the brightness after t days is simply the derivative of B(t)
Thus;
B'(t) = 0 + [{0.25 cos(2πt/5.7)} × (2π/5.7)]
This leads to;
B'(t) = (0.5π/5.7)cos (2πt/5.7)
Simplifying this further gives;
B'(t) = (5π/57)cos(2πt/5.7)
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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