A solution set is the set of all variables or numbers that makes the equation true.
What is a real number solution set?If solving a linear equation leads to a true statement is equal to 0 = 0 the equation is an identity. Its solution set is all real numbers.A solution set is the set of values that satisfy a given set of equations or inequalities. The feasible region of a constrained optimization problem is the solution set of the constraints.
How many real solutions are possible?There are three possibilities for the number of real solutions of a quadratic equation, and those are that a quadratic equation can have no real solutions, exactly one real solution, or exactly two real solutions.Zero is considered to be both a real and an imaginary number.
Now we can find solution set by solving the equation.
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Find the values of a, b and c in the given pair of similar triangles. Answer it with solution, please. Thank you.
Answer:
a = 28, b = 12, c = 9
Step-by-step explanation:
The ratio of corresponding sides between the triangles is 4 to 7, or 4/7 (comparing small triangle to the large one).
Set up proportions.
[tex]\frac{16}{a}=\frac{4}{7}\\\\4a=112\\\\a=28[/tex]
Next, find b.
[tex]\frac{b}{21}=\frac{4}{7}\\\\7b=84\\\\b=12[/tex]
Finally,
[tex]c=21-b=21-12=9[/tex]
Find the Dy/Dx of y=7/x using first principle
By using first principle, the value of Dy/Dx is,
⇒ Dy/Dx = - 7 / x²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ y = 7 / x
Now, Differentiate the function with respect to x, we get;
⇒ y = 7 / x
⇒ Dy/ Dx = D / Dx (7 / x)
= 7 D/Dx (1/x)
= 7 (- 1 × x⁻¹⁻¹ )
= 7 (- x⁻²)
= - 7 / x²
⇒ Dy/Dx = - 7 / x²
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Calculate the difference between the two times.
alarm clock number 1
8: 15 am. or pm
alarm clock number 2
3: 30 am or pm.
Answer:
5:30 is the difference between the clocks
3
A round planter has a circumference of
94 centimeters. Which measure is closest
to the diameter of the planter?
25 cm
27.5 cm
30 cm
35 cm
Answer:
30cm
Step-by-step explanation:
Divide the circumference by π, or 3.14 for an estimation.
29.9 so closest 30cm
Consider the series What is the truncation error for S3?
A=15
0 0.002
0 0.008
0.992
O 0.998
Help please im being timed
Answer:
Answer is B
0.008
Step-by-step explanation:
18 is 15% of what number
Answer:
120
Step-by-step explanation:
What is the volume of the sphere rounded to the nearest whole number if the radius is 3.63 inches?
Answer: 200inches³
Step-by-step explanation:
The volume of a sphere can be gotten by using the formula:
V = 4/3 πr³
where,
π = 3.142
r = radius = 3.63 inches
Volume = 4/3πr³
= 4/3 × 3.142 × 3.63³
= 4/3 × 3.142 × 47.832147
= 200.38481
= 200inches³
What are the different types of time complexity analysis available?
There are five different types of Time complexity analysis:
Constant Time ComplexityLogarithmic Time Complexity Linear Time Complexity O(n log n) Time ComplexityQuadratic Time ComplexityWhat is Time complexity?
The computational complexity that describes the amount of computer time required to run an algorithm is known as time complexity in computer science. The time complexity of an algorithm is commonly estimated by counting the number of elementary operations performed by the algorithm, assuming that each elementary operation takes a fixed amount of time to perform.
As a result, the time required and the number of elementary operations performed by the algorithm are assumed to be proportional. Because the running time of an algorithm varies among different inputs of the same size, the worst-case time complexity, which is the maximum amount of time required for inputs of a given size, is commonly considered.
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is equal to 1,024. Evaluate the following expressions.
a. 46
b. 44
43.42
Answer:
What is equal to 1,024
Step-by-step explanation:
The two polygons are similar. Find the Scale Factor between the
figures.
Answer:
x=9.2
Step-by-step explanation:
23/x=17.5/7
cross multiply
17.5x=161
divide
x=9.2
Mental Math Using the slope formula, find the slope of the line through the points (0,0) and (5,15). Use pencil and paper. Explain how you can use mental math
slope of the line.
The slope of the line is (Type an integer or a simplified fraction.)
Help me solve this
View on
Answer: m=3
Step-by-step explanation:
The strategy to finding the slope is the use the slope formula, which Is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Since we are given a point, we can directly plug them in and solve.
[tex]m=\frac{15-0}{5-0} =\frac{15}{5}=3[/tex]
The way we can use mental math is mainly because we are given the origin. We know that anything subtracted by 0 is itself. With the formula, the subtraction gives us 15 and 5. With basic division, we know that 15/5=3.
Help me help me math question
Answer: 34.25/6.5
Step-by-step explanation:
2.5*13.7=34.25
4.9+1.6=6.5
Step-by-step explanation:
2.5x13.7=34.25
4.9+1.6=6.5
Becky says that line c and d are parallel
what must true for Becky to be correct
Answer:
c) m <2 =m <3
Step-by-step explanation:
since the angles 2 and 3 are equal then they should be alternate angles
then c and d are parallel lines
An item on ale cot 20% of the original price if the original price wa $95 what i the ale price
By using formula and solving we get the item is on sale for $76.
What is selling price?
The selling price is the amount of money that a seller asks for in exchange for a product or service. It is also known as the "list price" or "retail price" and it is the price at which an item is intended to be sold. Selling price is usually set by the manufacturer or the retailer, taking into account the cost of production, distribution, and marketing, as well as competition and market demand. The selling price is usually higher than the cost of production, which includes the cost of the materials, labor, and overhead expenses.
What is the formula to calculate selling price?The formula to calculate the selling price of a product or service depends on the information available and the desired level of accuracy. However, there are a few common formulas used to calculate the selling price based on different factors.
Cost-plus pricing formula: This formula calculates the selling price by adding a markup percentage to the cost of the product or service.
The formula is: Selling price = Cost + (Cost x Markup percentage)
If the original price of an item was $95 and it is now on sale for 20% off, we can calculate the sale price using the following formula:
Sale price = Original price x (1 - Discount percentage)
In this case, the discount percentage is 20%, so we can express it as 0.2. Therefore, the formula becomes:
Sale price = $95 x (1 - 0.2)
To calculate the sale price, we need to multiply the original price by (1 - 0.2) which is (1-0.2) = 0.8
Sale price = $95 x 0.8
Sale price = $76
So, the item is on sale for $76.
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A street sign is 14 inches long. A scale drawing of the sign is 5 inches long. What is the scale factor
Answer:
5/14
Step-by-step explanation:
A street sign is 14 inches long. A scale drawing of the sign is 5 inches long. What is the scale factor
Scale factor is calculated as:
Scale drawing/Street sign
= 5 inches/14 inches
= 5/14
Therefore, the scale factor 5/14
Sasha performs an experiment. She chooses one marble from each of three sacks. The first sack has black (B) and white (W) marbles. The
second sack has green (G) and yellow () marbles. The third sack has silver (S) and red (R) marbles.
Which tree diagram shows all the possible outcomes for this experiment?
Ос.
OB
OD
Answer:
Option D is correct
Step-by-step explanation:
From the question, we have:
[tex]Sack\ 1: B, W[/tex]
[tex]Sack\ 2: G, Y[/tex]
[tex]Sack\ 3: S, R[/tex]
Required
The tree diagram
The selection process is as follows:
[tex]Sack\ 1: B, W[/tex]
[tex]Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)[/tex] -- i.e. we write sack 2 as a subset of 1
[tex]Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))[/tex] -- i.e. we write sack 3 as a subset of 2
The only tree diagram that illustrates this is: option D
Need help ASAP!! Plz
Answer:
Rate of change = -5/6 & Initial value = 5
Step-by-step explanation:
Rate of change = rise/run = -5/6
Initial value = y -intercept = 6
Estimate 38 x 9= ___
Answer:
400
Step-by-step explanation:
The most accurate estimate among the given options is d) 400.
Given that we need to estimate the product of 38 x 9,
To find the product of 38 and 9, you can simply multiply the two numbers together:
38 x 9 = 342
Therefore, the actual product of 38 and 9 is 342.
Now, let's estimate the product using the given options:
a) 30: This is too low of an estimate. 38 is larger than 30, so the product should be greater than 30.
b) 50: This is also too low of an estimate. 38 multiplied by 9 is significantly larger than 50.
c) 120: This estimate is closer to the actual product, but still not accurate. 120 is smaller than the actual product of 342.
d) 400: This is a close estimate. 38 multiplied by 9 is close to 400.
In summary, the most accurate estimate among the given options is d) 400.
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Please help!!! Will give brainliest!!!
3. (a) How many 0.32kg portions of minced beef can be made from 15.36kg of beef? (b) If beef is sold at $25.16 per kilogram, what is the cost of six and a quarter 0.32kg portions?
Answer:
a) 48 portions
b) $157.25
Step-by-step explanation:
1) 15.36/.32 to get 48 portions
2) Since it's asking for 6.25 0.32kg portions, multiply 6.25 by $25.16 to get $157.25
Select the correct answer from each drop-down menu. A picture frame with an area of 60 square inches has a width, w, and a height that is 4 inches greater than the width. Write an equation to represent the area, and solve to find the width. Equation: Of the two solutions, only a width of inches makes sense in the context of the problem. Reset Next
The width of the picture frame with the given area would be = 3.9in
What is a frame?A frame is a structure that can be a rectangle or a square shape which is used to display a picture.
The area of the frame = 60in²
The width of the frame = x
The height of the frame = 4x
The area of a rectangle = length×width
That is ; 60 = X × 4x
60 = 4x²
make X the subject of formula;
X = √60/4
X = √15
X = 3.9 in.
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Find the area of a circle with a radius of 70 centimetres
Answer:
15393.8cm sorry if im wrong
Use the algebra tiles to model x – 2.
Then choose the answer that describes the correct tiles.
one blue x tile and two orange + tiles
one orange x tile and two blue – tiles
one blue x tile and two blue – tiles
one orange x tile and two orange + tiles
Sorry for being late but the answer is B
Answer:
B
Step-by-step explanation: e d g 20 22
The equations represent the heights, y, of the flowers, in inches, after x days. Which ordered pair (1,2.2)(1 ,2.5) or (0 ,1) is a solution to the system? Will the flowers ever be the same height? Explain. The 2 equations are y= 1.5x+1 and y= 1.2x+1
Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same height at x = 0. And (0,1) is the solution to the system of equation
How to Know Solution to a System of EquationTo know the solution of a system of equation, the two equation can be solved simultaneously.
Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1
Equate the two equations to get x
1.5x + 1 = 1.2x + 1
collect the like terms
1.5x - 1.2x = 1 - 1
0.3x = 0
x = 0
Substitute x in any of the equation.
y = 1.5(0) + 1
y = 1
Yes! The flower will be of the same height at x = 0.
Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.
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which values are solutions for the intequality 5< y-8
Answer:
y > 13
Step-by-step explanation:
Inequality graph:
Answer:
y>13
Step-by-step explanation:
5<y-8
5+8<(y-8)+8
13< y-8+8
13<y
y>13
Kayden has 50 m of railing.
How much more railing does Kayden need
so that he can put railing all the way around
the roof garden?
12 m
3 m
7m
10 m
20 m
10 m
Not drawn accurately
Answer: Kayden needs 12 more meters of railing.
Step-by-step explanation:
To find the perimeter of the roof garden I added up all the numbers you listed (12m+3m+7m+10m+20m+10m) to get a total perimeter of 62 meters.
Since Kayden already has 50 meters of railing we can subtract that from the total he needs to get the remaining amount needed.
62m - 50m = 12 meters of railing remaining.
How do you write coordinates for translation?
Coordinates (x ,y ) of the given geometrical figure after translation is written as ( x + h , y + k ) where h ∈ R and k ∈ R.
As given in the question,
Let us consider the coordinates of any geometrical figure is represented by ( x, y ) in the coordinate plane.
Translation is the representation of transformation the change in the location of the given geometrical figure without change in the shape and size.
It can be translated in four ways :
Translation to the right is written as ( x + h , y )
Translation to the left is ( x - h, y)
Translation in the up is ( x, y + k )
Translation in the down is ( x , y - k ).
Therefore, the original coordinate ( x ,y ) after translation written as
( x + h , y + k ) where h ∈ R and k ∈ R.
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In the past year omar watched 39 movies that he thought were very good he watched 60 movies over the whole year of the movies he watched what percentage did he rate as very good
Answer:
65%
Step-by-step explanation:
39/60 X 100
(39 being the number of movies he rated very good, divided by the total number of movies he watched which is 60)
If tan 0= -21/20 what is cos 0 in quadrant 2
Andrew is kayaking in a river with a 6 mph current. Suppose that he can kayak 4 miles upstream in the same amount of time as it takes him to kayak 9 miles downstream. Find the speed (mph) of Andrew’s kayak in still water
If Andrew takes same amount of time to kayak 4 miles upstream and 9 miles downstream in a river with a 6 mph current, then the speed of Andrew’s kayak in still water is 15.6 miles per hour.
Therefore the answer is 15.6 mph.
We can begin solving the problem by using the equation:
Speed (relative to water) = Speed (in still water) + Speed (of the water)
Let x be the speed of Andrew's kayak in still water.
When kayaking upstream, his speed relative to the water is x - 6 mph (since the current is moving in the opposite direction at 6 mph).
When kayaking downstream, his speed relative to the water is x + 6 mph (since the current is moving in the same direction at 6 mph).
Since the problem states that it takes Andrew the same amount of time to kayak 4 miles upstream as it takes him to kayak 9 miles downstream, we can set up the following equation knowing time = distance/ speed :
4/ (x - 6) = 9/ (x + 6)
Simplifying and solving for x we get
4(x + 6) = 9(x - 6)
4x + 24 = 9x - 54
9x - 4x = 54 + 24
5x = 78
x = 15.6
So, Andrew's kayak speed in still water is 15.6 miles per hour.
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