Answer:
1) f-2g
2) h+3fg
Step-by-step explanation:
1)
f(4) - g(2) + f(3))4f - 2g + 3f4f - 3f - 2gf - 2g2)
h(1) + f(1) x g(3)h + f x 3gh + 3fg#1.
[tex]f(4) - g(2) + f(3))[/tex]
[tex]4f-2g + 3f[/tex]
[tex]4f - 3f - 2g[/tex]
[tex]f-2g[/tex]
#2.
[tex]h(1) + f(1) x g(3)[/tex]
[tex]h+fx 3g[/tex]
[tex]h + 3fg[/tex]
Find the product of 2x2(6x 3). 12x3 12x3 3 12x3 6x2 2x2 6x 3.
Answer:
72
Step-by-step explanation:
Which is true regarding Armando’s use of algebra tiles? He used the algebra tiles correctly. He did not represent the two original factors correctly. The signs on some of the products are incorrect. Some of the products do not show the correct powers of x.
The correct statement about Armando’s use of algebra tiles is some of the products do not show the correct powers of x.
Given
Armando used algebra tiles to represent the product 3x (2x -1 ).
ProductThe number or expression results from the multiplication together of two or more numbers or expressions.
The correct way to find the product function is;
[tex]\rm = 3x (2x -1 )\\\\=3x \times 2x - 3x\times 1\\\\= 6x^2-3x[/tex]
Hence, the correct statement about Armando’s use of algebra tiles is some of the products do not show the correct powers of x.
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Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O. Now, he has some doubts that are given below. Help him out by answering these questions:
It can be deduced that the chord of AB will be 16 cm and the chord of CD will be 12 cm.
How to calculate the chordFrom the information given, we will use Pythagoras theorem to find half of AB. This will be:
= ✓10² - ✓6²
= ✓64
= 8.
Therefore, AB = 8 × 2 = 16cm
The length of CD will be:
= 10² - ✓8²
= ✓36
= 6
The length of CD = 6 × 2 = 12cm.
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A 2-column table has 3 rows. The first column is labeled Domain with entries 0, 1, 2. The second column is labeled Range with entries 32, 24, d. In order for the table below to show exponential decay, what must the value of d be in the table below? d = 16
Answer:
D = 18
Step-by-step explanation:
Solve for d. TYPE ONLY THE NUMERIC ANSWER
2d+2=4
Answer:
the answer is 1
Step-by-step explanation:
2 x 1 +2 = 4 mhm yes mk ok ~
OKURRRRRRRRRRRRRRRRR
Answer:
d=1
Step-by-step explanation:
You first need to isolate the variable, d. To do this, you move everything away from it, using the opposite order of operations for each variable. First, you need to subtract 2 on both sides which gives you 2d=2, then you divide 2 from 2d and divide it with the single 2 and get 1. Hope that helps :)
Find DE.
F) 3
G) 6
H) 9
J) 12
Answer:
Step-by-step explanation:
F because im guessing and im taking a tes
Learn-a-Lot Academy needs to order 900 pencils for its students. The pencils come in cases of 24 boxes with 12 pencils in each box. The pencil manufacturer will sell only whole cases. How many cases of pencils must Learn-a-Lot Academy order?
Answer:
4 Cases
Step-by-step explanation:
If they bought 3 cases they would only have 864
Answer:
4 cases
Step-by-step explanation:
Find out how many pencils per case:
1 case = 24 boxes
1 box = 12 pencils
1 case = 24•12 = 288 pencils
Divide the amount of needed pencils (900) by how many per case there are (288) to find how many cases you need:
900÷288=3.125 (or 3 1/8)
Since you can't get a part of a case (for the 1/8 of a case you need), you will need to round up to 4 cases.
A rectangle has an area of 24 square centimeters. What could be its length and width?
Answer:
true or false
Step-by-step explanation:
Receiving a customer who has an appointment is a routine query
At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3. 14 for π and round your answer to the nearest tenth. 50. 2 feet 56. 5 feet 100. 5 feet 113. 0 feet.
Answer:
(b) 56.5 ft
Step-by-step explanation:
The circumference of a circle of diameter d is given by ...
C = πd
For the given diameter, the circumference of the frame is ...
C = (3.14)(18 ft) ≈ 56.52 ft
The length of the outside edge of the frame is about 56.5 feet.
fine the GCF of these three expressions 14x , 49x , and 28
Answer:
GCF = 7
Step-by-step explanation:
7 * 2 = 14
7 * 7 = 49
4*7 = 28
[RevyBreeze]
Draw and label a parallelogram
with a base twice as long as the height and an area less than
60 square inches. Determine the area.
20 length 2 height. 20 times 2 equals 40 square inches\
Mrs. Pham is planning a birthday party for her cats. She estimated that there will be 20 cats at the party, but there were 25 cats that showed up to the party. What is the percent error?
Answer:
The answer is ur mom
Step-by-step explanation:
ford leonard
Evaluate 13|−x+4|−6 when x = 13.
Answer:
-123
Step-by-step explanation:
13(-x+4)-6 when .x is 13
we just replace x with 13
13(-13+4)-6
13(-9)-6
applying bodmas we multiply 13 by negative 9 before the subtraction aspect
13*-9=-117
-117-6=-123
10 points + brainliest to first correect answer :) incorrect answers/ answers with no effort will be deleted this is easy im just making sure :)
The temperature in Mariah’s town was 5.2 degrees Fahrenheit at midnight. The temperature decreased at a steady rate of 1.1 degrees Fahrenheit per hour until 7:00 a.m. From 7:00 a.m. through noon, the temperature increased by a total of 4.9 degrees Fahrenheit. What was the temperature at noon?
a- Negative 7.4 degrees Fahrenheit
b- Negative 2.5 degrees Fahrenheit
c- 2.4 degrees Fahrenheit
d- 7.4 degrees Fahrenheit
Answer:
C. 2.4 degrees Fahrenheit
Step-by-step explanation:
1.1 per hour for 7 hours
1.1 x 7 = 7.7
5.2 - 7.7= -2.5
-2.5 + 4.9 = 2.4
Max has 40/100 of a dollar. Ben has 2/10 of a dollar. Alex has 3/10 of a dollar. Together, what fraction of a dollar do they have?
Mark all correct answers.
Group of answer choices
A.45/100
B.9/10
C.90/100
D.72/100
Answer:
b and c are correct
Step-by-step explanation:
Hope this helps! :)
Answer:
B
Step-by-step explanation:
Because max has 40/100 of a dollar which could = 4 or 40% so he has 4.
Max=4
Ben has 2/10 of a dollar which could be 2 or 20% so ben has 2
Ben=2
Alex has 3/10 of a dollar which could be 3 or 30% so Alex has 3.
Alex=3
4+2+3=9/10
Hope it helps,have a great day:)
Can someone please help me with this? 1-4 thank you so much.
Answer:
1.) Option C
2.) Option B
3.) Option D
4.) Option A
Step-by-step explanation:
[tex] \frac{3x {}^{2} }{y {}^{ - 3} } \\ [/tex]
Here, we know that
[tex]a {}^{ - 1} = \frac{1}{a} \\ [/tex]
So,
[tex] \frac{ {3x}^{2} }{y {}^{ - 3} } = \frac{ {3x}^{2} }{ \frac{1}{y {}^{ 3} } } = {3x}^{2} y { }^{3} \\ [/tex]
Thus, Option C is correct
2.)[tex]( {4}^{0} )( {4}^{2} ) \\ [/tex]
We know that,
n⁰ = 1
where, n = any real number
So,
[tex]( {4}^{0} )(4 {}^{2} ) = 1 \times 16 = 16 \\ [/tex]
Thus, The answer is 16
3.)[tex]( \frac{5}{3} ) {}^{ - 3} \\ [/tex]
We know that
[tex]a {}^{ - 1} = \frac{1}{a} \\ [/tex]
So,
[tex]( { \frac{5}{3} )}^{ - 3} = ( { \frac{3}{5} )}^{3} = \frac{27}{125} \\ [/tex]
Thus, Option D is correct
4.)[tex] \frac{a {}^{2} {b}^{5}c {}^{0} }{ab {}^{7} } \\ [/tex]
[tex] \frac{a {}^{2} {b}^{5} c {}^{0} }{ab {}^{7} } = \frac{a}{ {b}^{2} } \\ [/tex]
Thus, Option A is correct
-TheUnknownScientist 72
Graph the radical equation that can be used to calculate the radius, r, of the tank. Use the lowercase "r" and the uppercase "V" when entering the equation. After the equation has been entered, set the value of pi to be 3.14.
and please explain how to use the graph and what should I type and where
Edmentum
Tank is made like Cylinder
So let's find r
Radius=rheight=h[tex]\\ \tt\hookrightarrow V=\pi r^2h[/tex]
[tex]\\ \tt\hookrightarrow r^2=\dfrac{v}{h\pi}[/tex]
[tex]\\ \tt\hookrightarrow r=\sqrt{\dfrac{v}{3.14h}}[/tex]
The equation to find radius of tank is r = √{(V)/(3.14×h)}
What is equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Quadratic Equation:This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2. Cubic Equation:A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3. Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.let r be radius of cylindrical tank
h be height of tank
V be volume of tank
Volume of cylinder is given by:
V = π×r²×h
r = √{(V)/(π×h)}
r = √{(V)/(3.14×h)}
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Find the value of x. x°+65°+109°+136°=310°
(if you can, please show how you got the answer. :D)
Answer:
x=0
Step-by-step explanation:
x°+65°+109°+136°=310°
we know that this whole equation equals 310.
so we add all the numbers equaling x+174+136=310 : x+310=310
x clearly equals 0 and even then you can subtract 310 from both sides which still gives you 0.
hopefully this helps.
Heya!
Answer:
x° = 0°
Step-by-step explanation:
x°+ 65° + 109° + 136° = 310°
Add all of the degrees on the left side together.
x° + 310° = 310°
Subtract 310° from both sides.
x° + 310° = 310°
- 310° - 310°
+ 310° and - 310° cancel out. 310° - 310° is 0.
x° = 0°
So, x° = 310° is your answer.
Hope this helped! :D
Is the cost proportional to the bags of salad?
Are the ratios of salad to cost equal?
Answer:
yes cost is proportional and ratios of cost are equal
Step-by-step explanation:
10. The measure of an exterior angle of a triangle is A. equal to the sum of non-adjacent interior angles. B. less than the sum of two remote interior angles. C. greater than the sum of two remote interior angles. D. always 180°
Answer: d is the answer it
what is the answer to −7x>10 simplified?
Answer:
x>-10/7 or ≈ -1.4285714285714285714285714285714
Step-by-step explanation:
transfer the -7 coefficient over to the right
Hey there!
-7x > 10
DIVIDE -7 to BOTH SIDES
-7x/-7 > 10/-7
CANCEL out; -7/-7 because it give you 1
KEEP: 10/-7 because it give you the x value
NEW EQUATION: x = 10/-7
SIMPLIFY IT!
x = - 10/7 OR x = -1 3/7
⇡ EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER! ⇡
It is an OPEN circle shaded to the left starting between -1 & -2. (Little over -1)
Therefore, your answer is:
x = - 10/7 OR x = -1 3/7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)
Marina can bicycle 19. 5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run?.
Speed is the rate at which a body changes its position. The speed by which Marina runs is 4 miles/ hr.
What is Speed?Speed is the rate at which a body changes its position. It is given by the formula,
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given to us
Marina can bicycle 19. 5 miles at the same time it takes her to run 6 miles.
Marina bikes 9 miles per hour faster than she runs.
Let the speed of the Marina running be s, and the time is taken to run 6 miles be t.
Time is taken by Marina to cover a distance of 6 miles by running,
[tex]\rm t = \dfrac{6\ miles}{s}[/tex]
Since the speed of Marina's bicycle is 9 miles per hour faster than she runs. Time is taken by Marina to cover a distance of 19. 5 miles by bicycle,
[tex]\rm t = \dfrac{19.5\ miles}{s+9}[/tex]
We know that Marina can bicycle 19. 5 miles at the same time it takes her to run 6 miles. therefore,
[tex]\rm t = \dfrac{6\ miles}{s}= \dfrac{19.5\ miles}{s+9}[/tex]
[tex]\dfrac{6}{s}= \dfrac{19.5}{s+9}[/tex]
Solving the given equation we will get,
[tex]\rm s = 4\ miles/hr[/tex]
Hence, the speed by which Marina runs is 4 miles/ hr.
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A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price, in dollars, of the book?
\
Answer:
the selling price is 21 dollars
what is the range of 8,1,3,3,9,6
Answer:
The range is 8
Step-by-step explanation:
Recall that the range of a data set is the distance between the maximum and the minimum, therefore:
Range = Maximum - Minimum = 9 - 1 = 8
Answer:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
9−1=8
Step-by-step explanation:
So therefore,the range is 8
Appropriate and interesting word sum for :439 and 514 solve it
The word sum for 439 and 514 = 953
Word sum of whole numbersWord sum simply means the addition of two or more whole numbers.
This means that to calculate the word sum of 439 and 514, the both given figures are added up together.
Given, 439 plus 514
That is,
439 + 514 = 953
Therefore, the word sum for 439 and 514 = 953
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What is the solution to 8√3 - 7√3?
√3
56√3
√6
√9
Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Since the value under the square root is the same, you only subtract the coefficients, and you do not show the one in your final answer.
2x + 6 cm
5(x - 3) cm
Find the length of one side of the equilateral triangle.
Answer:
side = 20 cm
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate the 2 given sides and solve for x
5(x - 3) = 2x + 6
5x - 15 = 2x + 6 ( subtract 2x from both sides )
3x - 15 = 6 ( add 15 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
then length of side is
2x + 6 = 2(7) + 6 = 14 + 6 = 20 cm
Answer:
20 cm
Step-by-step explanation:
Properties of an Equilateral Triangle
Regular polygon with 3 sidesSides lengths are equalInterior angles are equalGiven information
length of one side: (2x + 6) cmlength of second side: 5(x - 3) cmFind value of x
As side lengths are equal, equate the expressions and solve for x.
2x + 6 = 5(x - 3)
⇒ 2x + 6 = 5x - 15
⇒ 2x + 6 + 15 = 5x - 15 + 15
⇒ 2x + 21 = 5x
⇒ 2x + 21 - 2x = 5x - 2x
⇒ 21 = 3x
⇒ 21 ÷ 3 = 3x ÷ 3
⇒ 7 = x
⇒ x = 7
Side lengths
Substitute x = 7 into one of the given expressions.
⇒ length of one side: 2(7) + 6 = 20 cm
Simplify the following polynomial expression.
(5x^4 - 9x^3 + 7x - 1) + (-8x^4 +
4x^2– 3x + 2) - (-4x^3 + 5x - 1)(2x -7)
A 5x^4 - 37x^3 - 6x^2 + 41x - 6
B. 11x^4- 21x^3 + 14x^2 + 33x-8
C. 11x^4- 21x^3 + 14x^2 + 33x- 6
D. 5x^4– 37x^3- 6x^2 + 4x - 8
Answer:
A. [tex]5x^4 - 37x^3 - 6x^2 + 41x - 6[/tex]
step-by-step-explanation:
[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2- 3x + 2) - (-4x^3 + 5x - 1)(2x -7)[/tex][tex](5x^4 - 9x^3 + 7x - 1) -8x^4 +4x^2- 3x + 2 - (-8x^4+28x^3+10x^2-37x+7)[/tex][tex]5x^4 - 9x^3 + 7x - 1-8x^4 +4x^2- 3x + 2 +8x^4-28x^3-10x^2+37x-7[/tex][tex]5x^4 -8x^4 + 8x^4 -9x^3 -28x^3 +4x^2 -10x^2 +37x +7x -3x -7 -1 +2[/tex][tex]5x^4 - 37x^3 - 6x^2 + 41x - 6[/tex]Answer:
[tex]5x^4- 37x^3-6x^2+ 41x-6[/tex]
Step-by-step explanation:
simplify the following expression:
[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2-3x + 2) - (-4x^3 + 5x - 1)(2x -7)[/tex]
Expand [tex](-4x^3 + 5x - 1)(2x -7)[/tex]
[tex]\implies -8x^4 +28x^3+10x^2-35x-2x+7\\\\\implies -8x^4 +28x^3+10x^2-37x+7\\[/tex]
Therefore:
[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2- 3x + 2)-(-8x^4 +28x^3+10x^2-37x+7)[/tex]
Group and combine like terms:
[tex]5x^4 -8x^4- 9x^3 +4x^2+ 7x - 3x- 1 + 2-(-8x^4 +28x^3+10x^2-37x+7)\\\\\implies -3x^4- 9x^3 +4x^2+ 4x +1-(-8x^4 +28x^3+10x^2-37x+7)[/tex]
Apply the distributive rule: [tex]-(-a+b)=a-b[/tex]
[tex]\implies -3x^4- 9x^3 +4x^2+ 4x +1+8x^4-28x^3-10x^2+37x-7[/tex]
Group and combine like terms:
[tex]\implies -3x^4+8x^4- 9x^3 -28x^3+4x^2-10x^2+ 4x+37x +1-7\\\\\implies 5x^4- 37x^3-6x^2+ 41x-6[/tex]
The amount of time it takes for an ice cube to melt varies inversely to the
air temperature, in degrees. At 70°F the ice will melt in 20 min. How long
vill it take the ice to melt if the temperature is 85°F?
Answer:
Time goes down to 16.47 min
Step-by-step explanation:
Formula
Time to melt = k / Temperature (I doubt it is this simple)
Givens
Temp = 70
Time = 20
k =
Solution
20 = k / 70 Multiply both sides by 70
20*70 = k
k = 1400
Problem
What happens when Temp = 85?
Time = k / Temp
Time = 1400 / 85
Time = 16.47 Min