Answer:
-15y
Step-by-step explanation:
The square root of any squared number is always the number itself.
So in this case, it is -15y
Brainliest please. It'll help a lot.
Answer:
- 15y---------------------------------
Simplify the expression:
[tex]-15\sqrt{y^2}[/tex]We know the square root is never negative and since y is positive, we get:
[tex]-15\sqrt{y^2} =-15y[/tex]Nancy earns Rs. 25,00,000 in 5 months. what is her annual salary
Answer:
You would first divide the amount of months by the total amount of money that she has earned in 5 months.
(You put down 25, 00, 000 so Ima just write it as 2,500,000)
25,000,000/5 = 5,000,000
She earns 5,000,000 a month, and would earn 60,000,000 per year.
Anual salary is how much money you would earn per year, so the answer is 60,000,000. (sixty million).
Step-by-step explanation:
Hope it helps! =D
What is the sum of 6x+7 and 8x^2+5x-1
Answer:
8x² + 11x + 6
Step-by-step explanation:
6x + 7 + 8x² + 5x - 1 ← collect like terms
= 8x² + (6x + 5x) + (7 - 1)
= 8x² + 11x + 6
What is the greatest common factor for 27 and 51
Answer:
27:-3×9
51:-3×17
In 27 and 51 the common one is 3 and hence it is the greatest common factor.✓✓
if you want smallest or lowest common factor then you have to take the common 3 as one and multiply like this:-3×9×17=459 is the Lowest common factor.
*mark me brainliest
Mr. Jensen purchased a condo several years ago at a selling price of $295,420. Recently it
was appraised at a value 36.4% lower than that. What is the value of the condo now?
Roun
Answer:
The value of the condo was appraised at 36.4% lower than the selling price, which means it is now worth 100% - 36.4% = 63.6% of the selling price.
The selling price of the condo was $295,420, so the value of the condo now is $295,420 * 63.6% = $<<295420*0.636=188382.72>>188,382.72.
Therefore, the value of the condo now is $188,382.72.
Step-by-step explanation:
Finding a Mistake in a Subtraction Problem
Jordan wants to solve the problem: 453-254 = ?
He begins by making an estimate.
450-250 = 200
Estimate:.
Then he uses expand-and-trade subtraction to find an exact answer, but his answer is not
close to his estimate. This is his work.
"Oops," says Jordan, "I didn't cross out 400 and write 300."
Explain why not changing 400 to 30 is a mistake.
Hint: Use what you know about place value in your answer.)
Using the expand and trade subtraction the mistake Jordan made was not crossing 400 to 300
1 is carried form 4 to 5 then to 3 to get 13
How to do the subtraction in a correct way
The expanded form of subtraction makes is easier to conceptualize the subtraction, however it has some techniques that should be in mind in other to handle the techniques correctly
The numbers used in the subtraction is examined
453 and 254
the ones have it that 3 in "453" is less than 4 in "254" and hence will require 1 form 5.
When this happens, in the tens, 5 in "453" will turn to 4 and will be less than the 5 in "254" and will requires 1 from 4 in "453" in hundreds
At this point 4 in "453" is in hundreds and will turn to 300
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1.) The acceleration of a particle moving along the x-axis at time t is given by a(t) = 6t-2. If the position is 10 when
t= 1, then which of the following could be the function for position x(t) = ?
The function for position x(t) could be x(t) = 3t^2 - 2t + 10.
What is function?In mathematics, a function is a relation between two sets that assigns to each element of the first set exactly one element of the second set. In other words, it is a rule that describes how one set of values is related to another set of values. Functions are used to model real-world scenarios and to solve mathematical problems. Examples of functions include linear equations, polynomials, and trigonometric functions.
This is determined by using the equation x'(t) = a(t). Differentiating both sides of the equation, we get x'(t) = 6t - 2. Integrating this equation, we get x(t) = 3t^2 - 2t + C, where C is the constant of integration. Since x(1) = 10, we can substitute this value into the equation and solve for the constant of integration. Therefore, we get x(t) = 3t^2 - 2t + 10.
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(Linear Relationships LC)
Which of the following tables represents a linear relationship that is also proportional?
x y
0 3
3 6
6 9
x y
0 4
2 6
4 8
x y
0 0
6 3
12 6
x y
0 3
5 5
10 7
PLEASE I NEED HELP ASAP
All the table show the linear relationship, but none of the table show the proportional relationship.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
A). x → y
0 → 3
3 → 6
6 → 9
To show the linear relationship:
We have to find the constant first difference.
That means,
6-3 = 3
And 9 - 6 = 3
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/3 = 0,
3/6 = 1/2,
6/9 = 2/3.
The values of this table do not show the proportional relationship.
B). x → y
0 → 4
2 → 6
4 → 8
To show the linear relationship:
We have to find the constant first difference.
That means,
6-4 = 2
And 8 - 6 = 2
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/4 = 4,
2/6 = 1/3,
4/8 = 1/2.
The values of this table do not show the proportional relationship.
C). x → y
0 → 0
6 → 3
12 → 6
To show the linear relationship:
We have to find the constant first difference.
That means,
3-0 = 3
And 6 - 3 = 3
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/0 = undefined,
6/3 = 2,
12/6 = 2.
The values of this table do not show the proportional relationship.
D). x → y
0 → 3
5 → 5
10 → 7
To show the linear relationship:
We have to find the constant first difference.
That means,
5 - 3 = 2
And 7 - 5= 2
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/3 = 0,
5/5 = 1,
10/7 = 10/7.
The values of this table do not show the proportional relationship.
Therefore, none of the table show the proportional relationship.
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A measurement of 50.8 centimeters is equivalent to how many inches? A. 25 B. 12 C.20 D. 10
Answer: C. 20
Step-by-step explanation:
1 inch is equal to 2.54 cm.
So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.
50.8 ÷ 2.54 = 20
Hope this helps!!! :)
i’ll mark whoever brain list for the best answer
As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.
what is area ?An object's surface area is a measurement of the total volume of space that it occupies. The entire region surrounding a three-dimensional shape is referred to as its surface area. Its surface area is the total area of a three-dimensional shape. By adding the surfaces of each of a cuboid's six rectangular sides, one may determine the cuboid's surface area. The box's dimensions could also be named using the following formula: Surface (SA) = 2lw + 2lh + 2hw. A three-dimensional shape's surface area is a measurement of the total area it occupies (a three-dimensional shape is a shape that has height, width, and depth).
given
here,
Length = 3x + 3
Width = 6
Area of the rectangle = y, = length × width
y = [3x - 3 ] × [6]
y = 18x - 18 = 18[x -1]
Perimeter of the rectangle = 2[length + width]
z = 2 [3x + 3]
z = 6[x + 1]
As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.
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The correct question is :- Write a linear equation that represents the area and a linear equation that represents the perimeter of the rectangle (3x-3) cm and 6 cm .
George peels and eats 2 whole satsumas.
He then splits another satsuma into 6 equal segments and eats 1 of these segments.
How many satsumas does he eat in total?
Give your answer as an improper fraction.
The total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).
Given is that George peels and eats 2 whole satsumas. He then splits another satsuma into 6 equal segments and eats 1 of these segments.
The total number of satsumas eated by him can be written as -
2 + 1/6
2[tex]\frac{1}{6}[/tex]
Therefore, the total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
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7 x (n + 3) = (7 x 2) + (7 x 3)
Answer:
N = 2
Step-by-step explanation:
We must solve for N.
Solve inside the parenthesis if needed, otherwise open them
7n + 21 = (14) + (21)
Now solve, then simplify
7n + 21 = 35
7n = 35 - 21
7n = 14
N = 2
Fill in the blank to make equivalent rational expressions.
Answer:
Step-by-step explanation:
a.we should Make their denominators the same.
16[tex]x^{8}[/tex]÷4x=4[tex]x^{7}[/tex]
b.molecule multiply 4[tex]x^{7}[/tex], 5·4[tex]x^{7}[/tex]=20[tex]x^{7}[/tex]
c.finally, we get it
the answer is 20[tex]x^{7}[/tex]
The length of the life an instrument produced by a machine has a normal distribution with mean life of 12 months and standard deviation of 2 months.
What is the probability if X assumes a value greater than 12 months?
Probability that the length of the life of an instrument is greater than 12 months is 0.5 or 50%
If the length of the life of an instrument produced by the machine has a normal distribution with a mean of 12 months and a standard deviation of 2 months, then the random variable X representing the length of the life of the instrument is also normally distributed.
To find the probability that X assumes a value greater than 12 months, we need to use the cumulative distribution function (CDF) of the normal distribution. The CDF is given by the formula:
F(x) = (1/2) * [1 + erf((x - μ) / (σ * sqrt(2)))]
where μ is the mean, σ is the standard deviation, and erf(z) is the error function.
Plugging in the given values, we get:
F(12) = (1/2) * [1 + erf((12 - 12) / (2 * sqrt(2)))] = (1/2) * [1 + erf(0)] = (1/2) * [1 + 0] = 1/2
Since the CDF gives us the probability that X assumes a value less or equal than x, we need to subtract F(12) from 1:
P(X > 12) = 1 - F(12) = 1 - 1/2 = 0.5
So the probability that the length of the life of an instrument is greater than 12 months is 0.5 or 50%.
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A growing amusement park is able to
sell 7 times as many tickets each year
as it did the year before. If you list the
number of tickets sold over time, what
kind of sequence will you see?
If you list the number of tickets sold over time, the kind of sequence will you see is a geometric sequence.
What is a geometric sequence?
A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Here,
We assume that the variable x represents the number of tickets sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression that models this situation is given by geometric sequence:
x, 7x, 49x, 343x, .....
Verification:
7/1 = 49/7 = 343/49 = 7
Hence, this is a geometric sequence.
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I need c15 and c16 doing please with working out thank you
Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.
What is the circle?Every position in a circle's plane is equally spaced from the centre and is considered to be a closed, double object. A line of reflected symmetry is created as a result of each line traversing the circle. Each angle also has an axis of symmetry that circles its center.
Here,
Given : Diameter = 8
Radius = 8/2 = 4cm
To find the semi circle area
=>semi circle area = πr²
=> 22/7 * 4² *1/2
=> 25.1 sq cm
To find the perimeter of semi circle :
=> 2πr /2
=> πr
=> 22/7*4
=>12.5 cm
Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.
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The members of a consulting firm rent cars from three rental agencies. It is estimated that 0.42 percent of cars come from agency 1, 0.08 percent of cars come from agency 2, and 0.5 percent of cars come from agency 3. It is also estimated that 0.08 percent of cars from agency 1 need a tune-up, 0.02 percent of cars from agency 2 need a tune-up, and 0.02 percent of cars from agency 3 need a tune-up. Answer the following questions, rounding your answers to two decimal places where appropriate.
The probability that a rental car delivered to the firm will need a tune-up is 0.05% and the conditional probability is 0.04%
How to determine the probabilitiesThe probability that a rental car delivered to the firm will need a tune-up
From the question, we have the following parameters that can be used in our computation:
Agency 1 = 0.42%, Tune up from agency 1 = 0.08%
Agency 2 = 0.08%, Tune up from agency 2 = 0.02%
Agency 3 = 0.5%, Tune up from agency 3 = 0.02%
Using total probability, we have the following equation
P(tune-up) = P(tune-up | agency 1) * P(agency 1) + P(tune-up | agency 2) * P(agency 2) + P(tune-up | agency 3) * P(agency 3)
Substitute the known values in the above equation, so, we have the following representation
P(tune-up) = 0.08% * 0.42% + 0.02% * 0.08% + 0.02% * 0.5%
Evaluate the sum of products
P(tune-up) = 0.000452
Express as percentage and approximate
P(tune-up) = 0.05%
(b) The probability that it came from agency 2
This is a conditional probability, and it calculated as
P(Agency 2| Tune up) = P(Tune up and Agency 2)/P(Tune up)
Substitute the known values in the above equation, so, we have the following representation
P(Agency 2| Tune up) = (0.02% * 0.08%)/0.0452%
Evaluate
P(Agency 2| Tune up) = 0.0003539823
Express as percentage
P(Agency 2| Tune up) = 0.03539823%
Approximate
P(Agency 2| Tune up) = 0.04%
So, the probability is 0.04%
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Complete question
The members of a consulting firm rent cars from three rental agencies. It is estimated that 0.42 percent of cars come from agency 1, 0.08 percent of cars come from agency 2, and 0.5 percent of cars come from agency 3. It is also estimated that 0.08 percent of cars from agency 1 need a tune-up, 0.02 percent of cars from agency 2 need a tune-up, and 0.02 percent of cars from agency 3 need a tune-up. Answer the following questions, rounding your answers to two decimal places where appropriate.
(a) What is the probability that a rental car delivered to the firm will need a tune-up?
(b) If a rental car delivered to the firm needs a tune-up, what is the probability that it came from agency 2?
Please helps with all steps to solve the problem.
The solution to the inequality is (-∞, 4.05) .An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.
Find inequality ?Both equations and inequalities are mathematical phrases created by connecting two expressions.
The equal sign (=) in an equation denotes that the two expressions are regarded as equal.
In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.
Given the inequality:
-3(4 – x) 6 < 9 – 2x
Solving the inequality:
(-12 + 3x)6 < 9 - 2x
-72 + 18x < 9 - 2x
20x < 81
x < 4.05
Therefore the solution to the inequality is (-∞, 4.05)
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What is the domain of this function?
F(x)=3 square root x-2
x-2>0= x>2
The domain of the function F(x) = 3 [tex]\sqrt{x-2}[/tex] is {x : x ≥ 2 and x is a real number}.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
F(x) = 3 [tex]\sqrt{x-2}[/tex]
Domain of this function is all the values of x for which the function is defined.
The expression [tex]\sqrt{x-2}[/tex] is defined only when the value of x - 2 is positive.
x - 2 > 0 ⇒ x > 2
So the function will be defined for all x > 2.
Hence the domain of the function is the set of all x such that x > 2.
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The solution set of the equation x² + 5x = 0 is:
A. {0}
B. {5}
C. {-5}
D. {0, -5}
Answer:
D
Step-by-step explanation:
x²+5x=0
by factorizing;
x(x+5)=0
x=0 or x+5=0
Therefore, x= 0 or x=-5 ---> {0, -5}
Which sets of three numbers could represent the lengths of the sides of a right triangle?
Choose the two correct answers.
Responses
12, 15, 21
40, 42, 58
9, 40, 41
31, 40, 41
Answer: why do we even need math
Step-by-step explanation:
What is a triangle with 2 congruent sides and an obtuse angle
Answer:What is a triangle with 2 congruent sides and an obtuse angle
Step-by-step explanation:
what is the correct factorization of 33^3x39x4^11
The correct factorization of 33³ × 39 × 4¹¹ = 2²² × 3⁴ × 11³ × 13
What is factorization?Factorization is the collecting together of the common terms of an expression so as to have it in simpler form.
How to find the correct factorization of the expression 33³ × 39 × 4¹¹?To find the correct factorization of 33³ × 39 × 4¹¹, we write out each term in terms of its common factors.
so, we have that the factorization of the first term is 33³ = (3 × 11)³ = 3³ × 11³
Also, we have that the factorization of the second term is 39 = 3 × 13
Finally, we have that the factorization of the last term is 4¹¹ = (2²)¹¹ = 2²²
So, we have that 33³ × 39 × 4¹¹ = 3³ × 11³ × 3 × 13 × 2²²
= 3³ × 3 × 13 × 11³ × 2²²
= 2²² × 3⁴ × 11³ × 13
So, the correct factorization is 2²² × 3⁴ × 11³ × 13
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What is the slope of a horizontal line? Write the equation of an example of a horizontal line.
The slope of the horizontal line will be zero.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.
The horizontal line always has zero slopes because the y coordinate will always be the same for two points.
The slope is calculated by the formula below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
y₂ = y₁
Slope = ( y₁ - y₁ ) / ( x₂ - x₁ )
Slope = 0
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Two car dealerships pay their employees a monthly salary plus a commission on cars that they sell.
The person who is right on the dealership that pays a higher commission, is Tyson because Dealership A pays the higher commission.
How to find the commission paid ?The commission paid on Dealership A cars can be found by the formula :
= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars
= ( 3, 850 - 1, 900 ) / ( 4 - 1 )
= $ 650
The commission paid on Dealership B cars would be:
= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars
= ( 3, 500 - 2, 000 ) / ( 4 - 1 )
= 1, 500 / 3
= $ 500
Dealership A pays the higher commission.
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. Describe the transformation that changes AABC to AA'B'C'.
Analysing the given figures of the triangles ABC and A'B'C' , the required transformation for changing the traingle ABC to A'B'C' is the translation.
How can a translation transformation be represented in a 2D space?In a two-dimensional space, a translation transformation can be represented by a matrix of the form [1 0 Tx], [0 1 Ty], where Tx and Ty are the horizontal and vertical translation values, respectively. The matrix shows the movement of an object in the x and y directions, with Tx representing the horizontal shift and Ty representing the vertical shift.
What are the effects of a translation transformation on an object?A translation transformation moves an object from one position to another without changing its size or orientation. The shape and size of the object remain the same, but its position changes. The object is moved along a specific direction by a certain distance, and the position of the object within a coordinate system is changed. The effect of a translation can be visualized as sliding an object along a surface, while keeping its orientation and size unchanged.
As we can see from the given graph that the traingle ABC has moved straight downward without any changes in the orientation and the size of the traingle while being transformed to traingle A'B'C', Hence the transformation is translation transformation.
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please answer this with work
Answer:
Step-by-step explanation:
-38 + -12x < -200
Answer:
-38 - 12x > -200
x = 13.5 min
Step-by-step explanation:
let x = minutes of the dive
-38 ft - 12 ft/min(x) > -200 ft
-12 ft/min(x) < -162 ft
x > -162/-12 **flip the inequality when you divide by a (-) number
x > 13.5 min
Starting at -38 ft, he has to dive longer than 13.5 minutes to go deeper than -200 ft at a rate of -12 ft/min
SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalie’s savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w).
Answer:
Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)
Step-by-step explanation:
for values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)
Answer:
g(f(x)) = 4x² - 12x + 10
Step-by-step explanation:
to find g(f(x)) substitute x = f(x) ino g(x)
g(f(x))
= g(2x - 3)
= (2x - 3)² + 1 ← expand parenthesis using FOIL
= 4x² - 6x - 6x + 9 + 1
= 4x² - 12x + 10
Let a = (2, 1, 0), b = (3, -1, 2), c = (4, 0, 3).
Calculate the angle between a and the plane containing b and c.
Extra effort to show working will be awarded the brainliest.
The volume of the parallelopiped is 14 cubic units
What is the volume of a parallelopiped?The volume of a parallelopiped with vector sides a, b and c is given by
V = (a × b).c
We know that the parallelopiped has sides
a = (2, 1, 0)b = (3, - 1, 2) and c = (4, 0, 3)Thus, we proceed as follows
(a × b) = (2, 1, 0) × (3, -1, 2) = (2 × 3)i × i + (2 × -1)i × j + (2 × 2)i × k + (1 × 3)j × i + (1 × -1)j × j + (1 × 2)j × k + (0 × 3)k × i + (0 × -1)k × j + (0 × 2)k × k
Since
i × i = 0, j × j = 0, k × k = 0, i × j = k, j × i = -k, j × k = i, k × j = -i, k × i = j, i × k = -j,So, we have
(a × b) = (2, 1, 0) × (3, -1, 2) = (6) × 0 + (-2)k + -(4)j + 3i + (-1) × 0 + (2)i + -(3)j + -(0)i + (0) × 0
= 0 -2k - 4j + 3i + 2i - 3j - 0 + 0
= 5i -7j - 2k
= (5, -7, -2)
Since (a × b) = (5, -7, -2)
Thus, the volume of the parallelopiped is
V = (a × b).c
= (5, -7, -2).(4, 0, 3)
= 5 × 4 + (-7 × 0) + (-2 × 3)
= 20 - 0 - 6
= 14
So, the volume is 14 cubic units
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A chef makes small and large snacks to sell at a local art show. He cannot make more than 30
snacks before the show, with no more than 6 large snacks. The chef must make at least 10 small snacks to
earn a profit.
Part A
Let x represent the number of small snacks and y represent the number of large snacks. Given x ≥ 0 and
y 20, select all the inequalities that represent the situation.
0 x≤6
O y ≥ 10
Ox+y≤ 30
O 10x+6y≤ 30
0y≤6
0 x ≥ 10
-01:25
the inequalities that represent the situation are,
Ox+y≤ 30
0y≤6
0 x ≥ 10
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
Here, given that,
A chef makes small and large snacks to sell at a local art show.
He cannot make more than 30
snacks before the show, with no more than 6 large snacks.
The chef must make at least 10 small snacks to earn a profit.
Let,
x represent the number of small snacks
and y represent the number of large snacks.
Given x ≥ 0 and y 20
So, we get,
the inequalities that represent the situation are,
Ox+y≤ 30
0y≤6
0 x ≥ 10
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