Answer:
36
Step-by-step explanation:
f(x)=2x^2
f(-3)=2(-3)^2
f(-3)= -6^2
f(-3)=36
Answer:
Step-by-step explanation:
f(x) = 2 x^2
f(-3) means that wherever there is an x on the right, put in - 3
f(-3) = 2 (-3)^2
(-3)^2 = 9
f(-3) = 2 * 9
f(-3) = 18
Which expression is equivalent to5(h+9)
Answer:
The answer would be 5h+45
Step-by-step explanation
5 (h+9)
You need to convert this equation into the equation
you multiply 5 by h and get 5h
Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45
Once you have 5h and 45 just put it together with the addition symbol which will will equal:
5 (h+9) = 5h + 45
Your Welcome! (hopefully this answers your question)
its 34.51 trust me
....
.....
A jar has 28 cherry-flavored candies, 19 strawberry-flavored candies, 20-orange flavored candies, and 33 lemon-flavored candies. If a candy is taken from the jar at random, what is the probability that it will be a cherry-flavored cnady?
Answer: 7/25 or 28%
Step-by-step explanation:
28 (cherry) + 19 (strawberry) + 20 (orange) + 33 (lemon) = 100 (total)
so p(cherry), or the probability of getting cherry, is 28/100 (7/25)
that as a percent is 28%
An adult has a total of about 21.4 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to convert this measurement to square meters (m2).
Answer:
1.99m²
Step-by-step explanation:
From the above question
1 ft = 3.281 m
1 ft² = (3.281 m)²
Converting 21.4 ft² to m²
1 ft² = (3.281 m)²
21.4 ft² = xm²
x m² = 21.4 ft²/ (3.281 m)²
x m² = 1.9879310292 m²
Approximately :
21.4 ft² = 1.99m²
5 blue, 3 white, 1 red, 7 green light bulbs in a bag. The probability to pull a blue or red is... ?
Answer:
2.6
Step-by-step explanation:
Which is the perimeter of the shape? (1 point)
Answer:
16 ft
Step-by-step explanation:
To find the perimeter of a square you must:
1. add all of the lengths together (4+4+4+4=16)
Have a great day.
You have a moving box with a volume of 16 ft3. You know that the box has a length of 2 ft and a height of 4 ft, but you don’t know the width. You need to know all three dimensions to make sure it can fit in the back of the truck. What is the width of the box?
3 ft
4 ft
2 ft
5 ft
Answer:
2ft
Step-by-step explanation:
The width of the box is 2 ft.
Here,
Volume of box = 16 ft^3
Length of box = 2 ft
Height of box = 4 ft
We have to find the width of box.
What is Volume of box?
The volume of box is defined as, the multiply of length, width, height.
Now,
Volume of box = 16 ft^3
Length of box = 2 ft
Height of box = 4 ft
Since, Volume of box = Length x width x height
Let width of box is x ft.
Volume of box = 2 * x * 4
16 = 8x
x = 2
Hence, The width of the box is 2 ft.
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Can someone help me with this pls.
Here are pairs of equivalent expressions in standard form and factored form. Find the missing symbols and numbers that make the equations true. Answers should be numbered and rewritten with the boxes replaced with the proper symbols or numbers. Show work or justification to support your choices and prove that the equations are still true.
Answer:
[tex](1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
[tex](2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
[tex](3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
[tex](4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
[tex](5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the boxes
Solving (1):
[tex][ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)[/tex]
Swap the equation
[tex](3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Open bracket
[tex]12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Simplify the like terms
[tex]12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
So, we have:
[tex][12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
i.e.
[tex][12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
Solving (2):
[tex]x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
The above expression illustrates the difference of two squares.
So, complete the first equation with minus
[tex]x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Express 169 as 13^2
[tex]x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Apply difference of two squares
[tex](x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])[/tex]
So, the complete expression is:
[tex]x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
Solving (3):
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])[/tex]
20 can be expressed as: -5 * -4
So, the expression becomes
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])[/tex]
Expand
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20[/tex]
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20[/tex]
So, the complete expression is:
[tex]x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
Solving (4):
[tex]x^2 + []x + 28 = (x + 7)(x + [])[/tex]
28 can be expressed as 7 * 4
So, the expression becomes
[tex]x^2 + []x + 28 = (x + 7)(x + [4])[/tex]
Expand
[tex]x^2 + []x + 28 = x^2 + 7x + 4x + 28[/tex]
[tex]x^2 + []x + 28 = x^2 + 11x + 28[/tex]
So, the complete expression is:
[tex]x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
Solving (5):
[tex]x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])[/tex]
-24 can be expressed as -3 * 8
So, the expression becomes
[tex]x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Expand
[tex]x^2 + []x - 24 = x^2 +8x - 3x - 24[/tex]
[tex]x^2 + []x - 24 = x^2 +5x - 24[/tex]
So, the complete expression is:
[tex]x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
An equation is formed of two equal expressions. The complete equations are:
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex][tex](x^2-169) = (x+13)(x-13)[/tex][tex]x^2-9x+20=(x-5)(x-4)[/tex][tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex][tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
1. The first equation that is given to us is:
[tex](?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)[/tex]
Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,
[tex](3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30[/tex]
Thus, the complete equation will be
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex].
2. The second equation that is given to us is,
[tex]x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)[/tex]
Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,
[tex]a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)[/tex]
Thus, the complete equation will be
[tex](x^2-169) = (x+13)(x-13)[/tex].
3. The third equation that is given to us is,
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20[/tex]
Thus, the complete equation is
[tex]x^2-9x+20=(x-5)(x-4)[/tex].
4. The fourth equation that is given to us is
[tex]x^2 + ?x + 28 = (x+7)(x+?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.
[tex]x^2 + ?x + 28 = (x+7)(x+4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28[/tex]
Thus, the complete equation is
[tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex]
5. The fifth equation that is given to us is
[tex]x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.
[tex]x^2 + ?x -24=(x+8)(x-3)[/tex]
Now, solving the right side of the equation to get the complete left side of the equation we will get,
[tex](x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24[/tex]
Thus, the complete equation is
[tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]
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A single card is drawn from a standard 52 card deck.
Work out the probability of choosing "a spade"
Answer: [tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
A standard 52 card deck includes spades, clubs, hearts, and diamonds.
13 card of each category is present
So, there are 13 spades present in the deck
Probability is the ratio of favorable to the total outcomes.
[tex]\therefore P=\dfrac{13}{52}\\\\\Rightarrow P=\dfrac{1}{4}[/tex]
Another Quick question, True Or False: An acute and an obtuse angle are always supplementary
Explain please
Answer:
false
Step-by-step explanation:
Supplementary means that two angles added together must equal 180. An acute angle is one less than 90 degrees, and an obtuse one is greater than 90. They will not always add up to 180.
For example, 24 is an acute angle. 134 is an obtuse angle. But they do not add up to 180 degrees, thus not supplementary.
Answer: True
Step-by-step explanation: Hope that helped!
If "if p , then q " is the conditional statement, then "if q , then p " is the converse.
True
False
Answer:A true
Got it right in the odyssey ware
Step-by-step explanation:
1. Are the two expressions below
equivalent
25x + 20y = 5x(5+4y)
Answer:
No.
Step-by-step explanation:
25x + 20y = 5x(5 + 4y)
Distribute the 5x inside the (5 + 4y).
5x * 5 = 25x
5x * 4y = 20xy
25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.
Simplify 12 − 32 + (5 − 1)2.
A) 12
B) 18
C) 19
D) 97
12-32+[5-1]x2
-20+4x2
-20+8
=-12
The simplified form of the given expression is -12. Therefore, option A is the correct answer.
What is simplify?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
The given expression is 12-32+(5-1)2.
Here, 12-32+4×2
= -20+8
= -12
Therefore, option A is the correct answer.
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I need Help! Please help I really don’t know how to anwser it no links will report I really need help will make brainliest :(
Answer:
16/50 or 8/25
Step-by-step explanation:
Good luck. Hope you get a good grade
Events A and B are independent. Find the missing probability.
A.9/20
B.3/4
C.1/2
D.3/40
Answer:
B
Step-by-step explanation:
PLZ HELP I MAKE YOU BRAINILY!!!!!
Answer:
755.3
Step-by-step explanation:
The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.
The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.
Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.
Answer:
I think the answer is B: 755.3^3.
Step-by-step explanation:
Don't hate me if I'm wrong please!!!
To find the volume of multiple figures, just find the volume of each of them and add them together.
Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504
Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2
504 + 251.2 = 755.2
Since this is the closest answer, the answer is B: 755.3^3.
Please mark me as brainliest!!!!!
Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes.
How long did he spend snowboarding?
Answer:
1 hour and 35 mins
Step-by-step explanation:
need some funny hair jokes for math teacher plss
Answer:
Grey Hairs? Try some of our free Pi-Lights
Step-by-step explanation:
Company is testing a robot.The robot is 12 inches tall and weigh 4 pounds.The employees of the company marked a grid on the floor and set the robot at(4,4). They programmed the robot to walk 4 yards east and 6 yards north each minute.What will the robot's location be after 7 minutes? The x coordinate and the y coordinate
Answer:
[tex]P(2)=(32,46)[/tex]
Step-by-step explanation:
From the question we are told that:
Height of robot [tex]h=12 inches[/tex]
Weight of robot [tex]W=4[/tex]
Start position [tex]P(1)=(4,4)[/tex]
Per minute distance [tex]d=(4,6)[/tex]
Total time [tex]T=7min[/tex]
Generally the distance traveled in 7 minutes [tex]d_T[/tex] is mathematically given by
[tex]d_T=d*T[/tex]
[tex]d_T=(4.6)*7[/tex]
[tex]d_T=(28,42)[/tex]
Generally the position of the robot after 7 minutes is mathematically given by
[tex]P(2)=P(1)+d_T[/tex]
[tex]P(2)=(4,4)+(28,42)[/tex]
[tex]P(2)=(32,46)[/tex]
Therefore the position of the robot after 7 minutes is
[tex]P(2)=(32,46)[/tex]
Why would the polynomial, "[tex]x^2+5x-24[/tex]" factor out to (x-3)(x+8)?
Step-by-step explanation:
5x can also be written as " -3x + 8x " so:
[tex]x^2+5x-24 = x^2-3x+8x-24[/tex]
Using the distributive property:
[tex]x(x-3)+8(x-3)[/tex]
Then again, using the distributive property (but in reverse):
[tex](x-3)(x+8)[/tex]
The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.
For eg (because that was a bit text heavy):
The product of the last term and the first coefficient (1 * (-24)) is -24
the factors of -24 include (and their sum)
-1, 24 (23)
1, -24 (-23)
-2, 12 (10)
2, -12 (-10)
-3, 8 (5)
3, -8 (-5)
-4, 6 (2)
4, -6 (-2)
The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.
The three lines represent the amount of water, over time, in three tanks that are the same size. Which tank is filling most quickly? Choose 1 answer
Tank A
Tank B
Tank C
Answer:
Tank A
Step-by-step explanation:
If the lines goes accross each tank the first tank would fill up first then the next one and it keeps going.
Hope this helps!
Answer:
Tank A
Step-by-step explanation:
The tank that fills fastest will have the steepest line graphed. The steepest line is the graph for Tank A. Tank A fills the most in the least amount of time, so this is the answer.
I hope this helps :) Good luck ^^
Lines d, e, and f are parallel. That means they have the same slope. Each of these lines has a slope of −3. Enter numbers to complete an equation for each line. On a coordinate plane, lines d, e, and f are parallel. Line d goes through (0, negative 3) and (negative 1, 0). Line e goes through (negative 1, 2) and (0, negative 2). Line f goes through (0, 2) and (1, negative 1). CLEAR CHECK Equation for line d: y=−3x − Equation for line e: y = x − Equation for line f: y = x +
Answer:
Line d : y = -3x - 3
Line e : y = -3x - 2
Line f : y= -3x + 2
Step-by-step explanation:
Given that,
The slope of each line is -3.
Now,
We know that,
Equation of line is represented by y = mx + c
where m is the slope and c is the y-intercept.
Now,
Given that,
Line d goes through (0, - 3) and (- 1, 0).
So,
y-intercept of Line d is -3
∴ we get
Equation of Line d is : y = -3x -3
Now,
Given that,
Line e goes through (-1, 2) and (0, -2).
So,
y-intercept of Line e is -2
∴ we get
Equation of Line e is : y = -3x - 2
Now,
Given that,
Line f goes through (0, 2) and (1, -1).
So,
y-intercept of Line e is 2
∴ we get
Equation of Line f is : y = -3x + 2
Answer:
The person above me is correct except for the fact that line e is wrong because I put it and is wrong
A(n) is a written agreement between different parties.
A. contract
B. commitment
C. month-to-month
D. annual commitment
Answer:
A. contract
Step-by-step explanation:
Brainliest for correct answer!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!
If a proton is rotating around a collider with a circumference of 27,000 meters at a speed of 300,000,000 meters per second, how long does it take for the proton to make one complete rotation?
PLEASE HELP!
1.Given the information provided for the right triangles shown here, find the unknown leg lengths to the nearest tenth.
2.The triangle shown here is not a right triangle. What are two different ways you change one of the values so it would be a right triangle? Sketch these new right triangles, and clearly label the right angle.
Answer:
1.
For triangle 1
[tex]a = 3\sqrt{5}[/tex]
For triangle 2
[tex]x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
Step-by-step explanation:
The complete question is attached in the image
Solution
1.
Both the triangles are right angled triangle
For triangle 1
[tex]7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3\sqrt{5}[/tex]
For triangle 2
[tex]4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
imli has 5 bushels of oats she wants to pour all of the oats into boxes that each hold 1 peck how many boxes will she need? ( 4 pecks = 1 bushel)
Answer:
20
Step-by-step explanation:
4 x 5 = 20
Determine the volume of the shape below
Answer:
V = 24513.85 m³Explanation:
Volume of a right cylinder = area of the base × height
V = πr² × h
r = d/2
r = 34/2 = 17 m
V = π × 17² × 27
V = 24513.85 m³
Can someone Solve: 2x^2/3 = 8
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 2 √ 3 , − 2 √ 3
A teacher asks five different students to write an equation with a solution of x = 4. The students and their equations are shown below.
Student Adrian Bert Camille Daniel Etsuko Equation 2x + 6 = 2 2x-9 = -1 - 2x + 12 = 4 2(x + 2) = 10 2(x - 10) = -12
Which of the following students correctly wrote an equation with x = 4 as the solution? Select three that apply.
A. Bert
B. Daniel
C. Etsuko
D. Adrian
E. Camille
Answer:
I'm assuming the order corresponds the student to the equation. Because of this, the answer is simple:
Bert, Etsuko, and Camille.
Step-by-step explanation:
2x-9=-1, 2x=8, x=4
2(x-10)=-12, x-10=-6, x=4
-2x+12=4, -2x=-8, x=4
A. -5
B. 11
C. 38 - 8i
D. 3+ 8i
Answer:
D.
Step-by-step explanation:
Answer:
Step-by-step explanation:
D