Answer:
S = {-1, 0, 1}
Step-by-step explanation:
First we need to solve the inequation x^2<=3
Using square root in both sides, we have:
|x| <= 1.73
Separating the module in two, we have:
x <= 1.73
x >= 1.73
So we have that -1.73 <= x <= 1.73
Solving this inequation only with integer values, we have:
x = -1, x = 0 or x = 1
So the set of integer solutions is S = {-1, 0, 1}
Aidan has $65 in his bank account. His brother Michael also has a bank account. They want to calculate the amount of money in both accounts combined. What variable is needed to calculate their combined total?
A.
m, the amount of money in Michael's bank account
B.
d, the difference between the amounts in Aidan's and Michael's account
C.
l, the amount of money in Michael's account last month
D.
a, the amount of money in Aidan's bank account
Answer:
the answer was A m the amount of money in Michael's account
Step-by-step explanation:
Answer: a, the amount of money in Michaels bank account
Step-by-step explanation:
The area of a kite ABCD is 900cm2 and one diagonal is 25cm long. Find the length of the other diagonal. Please answer!!!
Answer:
72 cm
Step-by-step explanation:
The area (A) of a kite is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )
Here A = 900 and d₁ = 25, thus
[tex]\frac{1}{2}[/tex] × 25 × d₂ = 900 ( multiply both sides by 2 )
25d₂ = 1800 ( divide both sides by 25 )
d₂ = 72 cm
Summer’s here and the ice cream truck is in town. The truck offers 3 flavors of ice cream: vanilla, chocolate, and strawberry. The topping choices are walnuts, sprinkles, and chocolate fudge and cookie crumbs. Zoe only has enough money for one scoop with one topping. How many choices does she have?
Answer:
12 choices
Step-by-step explanation:
There are 3 possible flavors Zoe can choose from: vanilla, chocolate, and strawberry.
Meanwhile, there are 4 possible toppings Zoe can choose from: walnuts, sprinkles, and chocolate fudge and cookie crumbs.
Each flavor can go with each topping, so we just multiply these two numbers together:
3 * 4 = 12
Zoe has 12 choices.
Find the area of the triangle with a = 3 feet, b = 4 feet, and c = 6 feet. Round to the nearest tenth.
Answer:
12 feet squared.
Step-by-step explanation:
The formula is (A*B)/2. (Remember, multiply first, then divide.)
evaluate the expression for f=6
15+f
Answer:
21
Step-by-step explanation:
15+f
Let f = 6
15+6 = 21
A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is less than 6
Event B = the second digit is less than 6
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A)1/4
B)3/7
C)4/9
D)1/2
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 35 POINTS!!!!!!!!!!!!!!!!!!!!!!!
Answer: 1/2
Step-by-step explanation:
pls hurry!!!!! The table represents an exponential function.
x y
1 3/2
2 9/8
3 27/32
4 81/128
What is the multiplicative rate of change of the function?
a) 2/3
b)3/4
c)4/3
d)3/2
The multiplicative rate of change of the function is (b) 3/4
How to determine the multiplicative rate of change?The table entries are given as:
x y
1 3/2
2 9/8
3 27/32
4 81/128
From the above table, we have:
y1 = 3/2
y2 = 9/8
Divide y2 by y1 to get the multiplicative rate of change (r)
[tex]r = 9/8 \div 3/2[/tex]
Evaluate the quotient
r = 3/4
Hence, the multiplicative rate of change of the function is (b) 3/4
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What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
A rectangular prism with length of 10 centimeters, width of 4 centimeters, and height of 5 centimeters.
[Not drawn to scale]
120 square centimeters
180 square centimeters
220 square centimeters
270 square cemtimeters
Answer:
220 square centimeters Option c.
Step-by-step explanation:
There are 6 faces of a rectangular prism, so to find the surface area of the prism, add the area of each faces.
Surface Area = 2(lw + lh + wh)
where, l = Length, w = Width and h = Height of the rectangular prism.
According to the given dimensions
Length = 10 cm
Width = 4 cm
Height = 5 cm
Therefore, the surface area of the given rectangular prism will be,
S.A. = 2((10)(4) + (10)(5) + (5)(4))
= 2(40 + 50 + 20)
= 2 (110)
= 220 cm²
Surface area of the rectangular prism will be 220 cm².
We have been given that a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm. We are asked to find the surface area of the prism.
We will use surface area of rectangular prism to solve our given problem.
[tex]A=2(lw+wh+hl)[/tex], where,
l = Length,
w = Width,
h = Height.
[tex]A=2(10\text{ cm}\cdot 4\text{ cm}+4\text{ cm}\cdot 5\text{ cm}+5\text{ cm}\cdot 10\text{ cm})[/tex]
[tex]A=2(40\text{ cm}^2+20\text{ cm}^2+50\text{ cm}^2)[/tex]
[tex]A=2(110\text{ cm}^2)[/tex]
[tex]A=220\text{ cm}^2[/tex]
Therefore, the surface area of the given prism would be [tex]220\text{ cm}^2[/tex] and option C is the correct choice.
Dolce the equation below for x 1/2(x+256)=180? I need help
Answer:
x=104
Step-by-step explanation:
x+256=360
x=360-256
x=104
Answer:
Step-by-step explanation:
104
A circle has a radius of 18 and a center at (10,-9). Find the equation of the circle.
Answer:
(x-10)²+(y+9)²= 324.
Step-by-step explanation:
For this question, you will need to substitute these values into the equation of a circle:
(x-h)²+(y-k)²= r²
'h and k' represent the center points, and 'r' represents the radius.
This will result in:
(x-10)²+(y+9)²=324.
Find the sum of the series
Answer:
ink
Step-by-step explanation:
none
Consider the data set shown below. 42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59 A graph shows intervals labeled 40 to 43 thru 56 to 59 on the horizontal axis and frequency on the vertical axis labeled 0 to 8. To create a histogram of the data given, identify the frequency for the given intervals. The interval 44-47 has a frequency of . The interval 48-51 has a frequency of . The interval 56-59 has a frequency of .
Answer:
3 , 4 , 1
Step-by-step explanation:
The interval 44-47 has a frequency of 3
The interval 48-51 has a frequency of 4
The interval 56-59 has a frequency of 1
got it right on edge
Answer:
The interval 44-47 has a frequency of 3
The interval 48-51 has a frequency of 4
The interval 56-59 has a frequency of 1
Step-by-step explanation:
3
4
1
The area of a square can be found using the equation A = s, where A is the area and s is the measure of one side of the square
Match the equation for how to solve for the side length of a square to its description.
A square has an area of 60 in?
8=V602 in.
s=760 in.
S = 602 in
S = 60 in
Plz help
Answer:
7880
Step-by-step explanation:
If A is S then S is A so using Trin's method...you can find 18x*760+y
A regular octagon has a perimeter of 48 cm. What is the length of each side?
Answer:
Each side of the octagon a length of 6 cm
Step-by-step explanation:
Divide the perimeter by the amount of sides the shape has.
48 ÷ 8 = 6
If a math test has questions on spelling, the test does not
have this type of validity.
Answer:
True
Step-by-step explanation:
It's a math test so it should be math questions not spelling.
Samuel has a hamster cage that is a rectangular prism. It is 20 inches
long, 12 inches deep, and 10 inches tall. What is the volume, in cubic
inches, of Samuel's hamster cage?
2,400 1/8 cubic inches
2,521 1/2 cubic inches
5791 1/9 cubic inches
1,158 1/4 cubic inches
Answer:
well im not sure but that's what i got
Step-by-step explanation:
(20)(12)(10)=2400
2400/4= 800
The volume of the given rectangular prism is 2400 cubic inches.
Given that, a rectangular prism dimensions are length = 20 inches, width = 12 inches and height = 10 inches.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
Volume of a rectangular prism = Area of a base × Height.
Here, Area of a base = length × width
= 20 × 12
= 240 square inches
So, volume = 240 × 10
= 2400 cubic inches
Therefore, the volume of the given rectangular prism is 2400 cubic inches.
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Find the inverse of the function.
y=5x-10
Answer:
The inverse of the function y = 5x - 10 would be:
5x - 10 = y
or
5x = y + 10
or
x = (1/5)y + 2
Hope this helps!
:)
The inverse of the function y=5x-10 is given by the formula f^-1(x) = (x + 10)/5. This is found by switching x and f(x) in the original equation, then solving for the new function.
Explanation:The problem asked us to find the inverse of the function y=5x-10. Finding the inverse of a function involves reversing the variables and then solving for the new y variable. Here are the steps for this:
Replace y with f(x), giving us the function f(x) = 5x - 10.Switch x and f(x) to find the inverse. This gives us x = 5f-1(x) - 10.Solve for f-1(x). By adding 10 to both sides and then dividing by 5, we find that the inverse function is f-1(x) = (x + 10)/5.Learn more about Inverse Functions here:https://brainly.com/question/35491336
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Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each.
Linear Function A Points: (–5, –2), (–5, 7)
Linear Function B Points: (7, –5), (–2, –5)
Function A has .
The equation of line A is .
Function B has .
The equation of line B is .
here is the answers
enjoy
Given Function A with points (–5, –2), (–5, 7) and Function B with points (7, –5), (–2, –5) represent linear functions, thus:
Function A has an undefined slope: no slope
Equation for line A would be: x = -5
Function B has a slope value of: 0.
Equation for line B is: y = -5
Recall:
Slope-intercept form is for a vertical line: x = a number on the x-axisSlope-intercept form is for a horizontal line: y = a number on the y-axisThus:
Linear Function A with the points (–5, –2), (–5, 7):
[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-2)}{-5 -(-5)} \\\\[/tex]
[tex]m = \frac{9}{0}[/tex] (can't divide. Undefined)
Function A therefore has no slope (undefined).A line with no slope is a vertical line.The equation for function A will therefore be written as: x = -5
-5 is where the vertical line intersects the x-axis.Linear Function B with the points (7, –5), (–2, –5):
[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-5)}{-2 - 7} \\\\[/tex]
[tex]m = \frac{0}{-9} = 0[/tex]
A slope value of 0 means the line of the linear equation is an horizontal line.The equation for function A will be written as: y = -5
-5 is where the horizontal line intersects the y-axis.In summary, given Function A with points (–5, –2), (–5, 7) and Function B with points (7, –5), (–2, –5) represent linear functions, thus:
Function A has an undefined slope: no slope
Equation for line A would be: x = -5
Function B has a slope value of: 0.
Equation for line B is: y = -5
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Consider Carmen’s new set of plans. Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank. Examine the lines that are cut by transversals to determine the measure of angle 1. What is the measure of angle 1? m <1= ° Why?
Based on the vertical angles theorem, the measure of angle 1 is: 48°.
What are Vertical AnglesVertical angles are always directly opposite each other and are formed when two straight lines crosses each other.
In the diagram given, the angle that is directly opposite angle is 48°, since it is an alternate angle to 48° formed on lines m and n (lines k and l are parallel lines).
Therefore:
m∠1 = 48° (vertical angles)
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Answer:
The Answer it's 48 And It corresponds to the 48-degree anglee.
Step-by-step explanation:
On EDGE 2022!
Explain how to complete the square for an expression of the form x2+bx
.
Add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.
Important information:
The given expression is [tex]x^2+bx[/tex].Completing the square:We know that,
[tex](x+y)^2=x^2+2xy+y^2[/tex]
[tex](x+y)^2=a^2+(2y)a+\left(\dfrac{2y}{2}\right)^2[/tex]
It means, we need to add the square of half of the coefficient of x in [tex]x^2+bx[/tex] to make it perfect square, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex].
[tex]x^2+bx+\left(\dfrac{b}{2}\right)^2=\left(x+\dfrac{b}{2}\right)^2[/tex]
Therefore, add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.
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To complete the square for an expression [tex]x^2+bx[/tex] you divide the coefficient of 'x' by 2, square it, and add and subtract that within the square, which can then be factored to a perfect square trinomial.
Explanation:Completing the square for an expression of the form [tex]x^2+bx[/tex] involves a process to rewrite the quadratic expression into a form that can be factored as a perfect square trinomial. Here are the steps to do so:
Divide the coefficient of x (which is 'b' in your equation) by 2 and square the result. This will be the value added and subtracted within the square to complete it. Add and subtract the calculated number from step 1 inside the parenthesis to maintain the balance of the equation. Simplify the equation, factoring out the perfect square trinomial formed.
In other words, x^2+bx can be rewritten as [tex][x+(b/2)]^2 - (b/2)^2[/tex]. Here, [tex][x+(b/2)]^2[/tex] is the perfect square trinomial.
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The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?
A) positive/negative 70
B) 70
C) positive/negative 80
D) 80
The correct answer is:
The possible value for the 6th term is 40. Thus, the answer is B) 70.
To find the common ratio (r) of the geometric sequence, divide the 7th term by the 5th term:
[tex]\[ r = \frac{40}{160} = \frac{1}{4} \][/tex]
Now, we can find the 6th term (T6) using the common ratio and the 5th term:
[tex]\[ T6 = T5 \times r = 160 \times \frac{1}{4} = 40 \][/tex]
So, the 6th term could be 40. Therefore, the answer is:
B) 70
PLEASE HELP I WILL BE AWARDING BRAINLIEST FOR THE FASTEST AND CORRECT ANSWER!! Pls help
Answer:
The answer is C
Explanation:The top number represents the number of people that are in 2 or more sports
The bottom represents how many students total throughout the school
Solve for x: x/12 - 5 = 7
A.x=121 B.x = 144
C.X = 96
D.x = 84
Step-by-step explanation:
Step 1: Add 5 to both sides
[tex]\frac{x}{12}-5+5=7+5[/tex]
[tex]\frac{x}{12}=12*12[/tex]
[tex]x=144[/tex]
Answer: Option B, x = 144
what is the area of the figure at the right? explain how you found your answer.
ANSWER ASAP PLZ
(Ready book grade six page 253 question 1)
Answer:
30 ft
Step-by-step explanation:
Answer:
40ft.
Step-by-step explanation:
Pls help w the whole page
Answer:
7a) 6X + 24
7b) 4X + 17
8) $142
Step-by-step explanation:
7a) you first combine the variables / letters. Then the numbers
1. 4x + 2x = 6x
2. 29 - 5 = 24
6x + 24
7b) you first combine the variables / letters. Then the numbers
1. x + 3x = 4x
2. 10 + 14 - 7 = 17
4x + 17
8) I did 12a + 8b + 6b
1. plug in your numbers into the variables / letters 12( 6 ) + 8 ( 5 ) + 6 ( 5 ) = ?
2. Then do the individual numbers 72 + 40 + 30 = ?
3. Then you can combine them all 142
Evaluate the following expression. You should do this problem without a calculator. log6 6
A)0
B)1
C)12
D)6
Answer:
B
Step-by-step explanation:
To what power do you have to raise 6 to get 6?
As in: 6^? = 6
6^1 = 6, so the answer is 1
hope this helps :)
Write the equation of the line with:
Slope = 1/3 and a point on the line is (6, 8)
Answer:
1/3 times 6.8
Step-by-step explanation:
Answer:
y= 1/3x + 6
Step-by-step explanation:
Solve for x 5(x + 1)= 4x +7
Answer:
x = 2
Step-by-step explanation:
5(x + 1) = 4x + 7
5x + 5 = 4x + 7
x + 5 = 7
x = 2
Answer:
x=2
Step-by-step explanation:
Let's solve your equation step-by-step.
5(x+1)=4x+7
Step 1: Simplify both sides of the equation.
5(x+1)=4x+7
(5)(x)+(5)(1)=4x+7(Distribute)
5x+5=4x+7
Step 2: Subtract 4x from both sides.
5x+5−4x=4x+7−4x
x+5=7
Step 3: Subtract 5 from both sides.
x+5−5=7−5
x=2
Please help thank you
Answer:
5,-3
Step-by-step explanation:
Answer:
5,-3 $&$&$,$,$,,$$,$,,$,$,$,$,
A sample of gas has a volume of 100.0 L at 135°C. Assuming
the pressure remains constant, what is the volume of the gas if
its temperature decreases to 72.0°C?
Answer:
84.6
Step-by-step explanation:
135c + 273.15 = 408 K
72C + 273.15 = 345 K
100 L over 408 K = V2 over 345 K
V2= 84.6
The volume of the gas when temperature decreases to 72.0 °C is 84.6 L
What is volume?Volume is a physical quantity that measures the amount of three-dimensional space occupied by matter (solid, liquid, or gas).
Volume is defined as the three-dimensional space occupied by matter or enclosed by a surface. The SI unit of volume is the cubic meter (m³),
Given that, a sample of gas has a volume of 100.0 L at 135 °C, the pressure remains constant, we need to find that what is the volume of the gas when temperature decreases to 72.0 °C
Converting the temperature into Kelvins =,
135C + 273.15 = 408 K
72C + 273.15 = 345 K
100 L / 408 K = V2 / 345 K
V2 = 84.6
Hence, the volume of the gas when temperature decreases to 72.0 °C is 84.6 L
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