Is this the correct way to fill out this deposit slip? (For an assignment) I have yet to put my name and date
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Related Questions
A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?
Answers
f = x² / 4a
where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,
f = (30/2 mm)² / (4)(5 mm)
f = 11.25 mm
ANSWER: 11.25 mm
Find the net force f acting on the particle.
express your answer in terms of m and
a.
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If the mass is represented as m and acceleration as the net force f acting on the particle will be f =ma.
What is force?Force is defined as the product of mass and change in velocity.The objects interactions with one another are what cause push and pull. Force may also be expressed using words like stretch and squeeze.
The force is in mathematical form is,
Force = mass × acceleration
If m is the mass in kilogram and a is the acceleration in m/s² is,
F = m × a
F = (1 kg) × (1 m/s²)
F = 1 kg.m/s²
As we know, 1 kg.m/s² = 1 N
F = 1 N
The measures mentioned above are taken into account by the Newton unit (N). As a result, one newton is defined as the force needed to accelerate 1 kilogram of mass 1 meter per second squared in a certain direction. 1N = 1kg (m/s²) is the way to express force.
Thus, if the mass is represented as m, acceleration as the net force f acting on the particle will be f =ma.
Learn more about the force here,
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You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make? Explain how you found your answer. ( The Trail Mix Recipe : 2 2/3 cups granola, 1 1/3 cups of peanuts )
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A 5 in by 7in photograph is surrounded by a frame of uniform width the area of the frame equals the area of the photograph find the width of the frame
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Let x be the
width of the frame.
Area of the picture is 5*7 = 35 sq in
Area of the frame given as the same, frame = 35 sq in also
Therefore the total area (picture & frame) will be 70 sq in
A simple equation would be made and it will look like this: (7+2x) * (5+2x) =
70
Using the FOIL
method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0
unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35
x = -b sqrt b^2 – 4*a*c divided by 2 * a
x
= -24 ±
sqrt 24^2 -4*4*(-35) divided by 2*4
x = -24 ±sqrt 576 -
-(560) divided by 8
x = -24 ± sqrt 576 + 560 divided by 8
x = -24 ± sqrt1136
divided by 8
x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer
For the polynomial function yequals=f(x) below, choose the statements that most accurately describe the function.
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Name four angles between 0 and 360 degrees with a reference angle of 20 degrees Show work
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i.e. 20°, 160°, 200° and 340°
Answer with explanation:
Reference Angle =20°
Angle Lies in First Quadrant.
⇒≡Reference Angle of 20°, which should lie between 0° and 360° can be evaluated by using the formula=360°n+20°, for n=0,1,2,3,4,....
So,First Reference angle of 20°=20°
Second reference angle of 20°=360°× 1+20°=380°
Third Reference angle of 20°=360°× 2+20°
=720°+20°
=740°
Fourth Reference angle of 20°=360°×3+20°
=1080°+20°
=1100°
in the diagram below eg=100, ef=4x-20, and fg=2x+30
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The lengths of segments x=15, EF=40, FG=60.
To solve for x, we can use the fact that the total length of segment EG is equal to the sum of the lengths of segments EF and FG.
EG = EF + FG
Substituting the given values, we get:
100 = 4x - 20 + 2x + 30
Combining like terms, we get:
100 = 6x + 10
Subtracting 10 from both sides, we get:
90 = 6x
Dividing both sides by 6, we get:
15 = x
Therefore, the value of x is 15.
We can now solve for the lengths of segments EF and FG.
EF = 4x - 20
Substituting the value of x, we get:
EF = 4(15) - 20
EF = 60 - 20
EF = 40
FG = 2x + 30
Substituting the value of x, we get:
FG = 2(15) + 30
FG = 30 + 30
FG = 60
Therefore, the lengths of segments EF and FG are 40 and 60, respectively.
Answer:
x = 15
EF = 40
FG = 60
David learned 15 definitions in 90 minutes. How much time will he take to learn 10 definitions?
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90/15
=6
It takes David 6 minutes to learn one definition.
Next multiply 6 by 10 to find out how long it'll take him to learn 10 definitions
6x10
=60
It'll take David 60 minutes to learn 10 definitions.
I hope this helps!
15........>90 minutes
10.........x minutes
Cross multiply
15x = 90*10
15x = 900
x = 900/15
x = 60
So, David will take 60 minutes to learn 10 definitions.
Best of luck!
Given the quadratic function 3x^(2) =8x-5 what are the values of x?
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3x^2 - 8x + 5 = 0 move all terms to one side
3x^2 - 3x - 5x + 5 = 0 split them into two terms
3x(x - 1) - 5(x - 1) = 0 factor out common terms in the first two terms, then the last two terms.
(x - 1)(3x - 5) = 0
x = 1, 5/3
hope this helped, God bless!
Answer:
The values of x are [tex]\frac{5}{3}[/tex] and 1.
Step-by-step explanation:
Given quadratic function[tex]3x^2=8x-5[/tex]
We have to solve for x.
Consider the given quadratic function [tex]3x^2=8x-5[/tex]
This can be written as [tex]3x^2-8x+5=0[/tex]
We can solve the above quadratic equation using middle term split method,
-8x can be written as -3x - 5x
Thus, the equation becomes,
[tex]3x^2-8x+5=0[/tex]
[tex]\Rightarrow 3x^2-3x-5x+5=0[/tex]
Taking 3x common from first two term and -5 common from last two terms, we get,
[tex]\Rightarrow 3x(x-1)-5(x-1)=0[/tex]
[tex]\Rightarrow (3x-5)(x-1)=0[/tex]
Now using zero product property [tex]a.b=0 \Rightarrow a=0\ or\ b=0[/tex] , we have,
[tex]\Rightarrow (3x-5)=0[/tex] or [tex]\Rightarrow (x-1)=0[/tex]
[tex]\Rightarrow x=\frac{5}{3}[/tex] or [tex]\Rightarrow x=1[/tex]
Thus, The values of x are [tex]\frac{5}{3}[/tex] and 1.
To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4
Answers
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
X/0.4= 10
We need to find the value of x .
For this, we will multiply by 0.4 on both sides, we get that
X= 0.4 × 10
X = 4
Hence, third option is correct.
When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickels?
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The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
The sides of the cubes are numbered 1 through 6. If they are both tossed, what is the probability that they will both be a 2?
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it will be 1/36 because the probability of rolling a 2 on one dice is 1/6 so the chance of rolling a 2 on the second dice as well would be 1/36
Identify the transformations that map rectangle A to triangle A
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Answer:
It is D. I just did it. D) reflect over y-axis, translate 4 units right, then translate 10 units down
Step-by-step explanation:
A theater sells children's tickets for half the adult ticket price. if 5 adult tickets and 8 children's tickets cost a total of $27, what is the cost of an adult ticket?
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To find the cost of an adult ticket, we can set up an equation using the given information and then solve for the variable.
Explanation:To solve this problem, let's start by defining some variables. Let the cost of an adult ticket be x dollars. Since children's tickets are sold for half the price of adult tickets, the cost of a children's ticket is (1/2)x dollars.
Given that 5 adult tickets and 8 children's tickets cost a total of $27, we can set up the following equation to represent the total cost:
5x + 8(1/2)x = 27
To solve for x, we can simplify the equation:
5x + 4x = 27
9x = 27
Dividing both sides by 9, we find that x = 3.
Therefore, the cost of an adult ticket is $3.
Fred the clown can create 17 animal balloons every 15 minutes.how many animal balloons he could create in 30 minutes and in 60 minutes.
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Answer:
34 balloons in 30 minutes.
68 balloons in 60 minutes.
Step-by-step explanation:
We have been given that Fred the clown can create 17 animal balloons every 15 minutes. We are asked to find the number of balloons created by Fred in 30 minutes and 60 minutes.
To find number of balloons created by Fred in 30 minutes, we will multiply 17 by 2 as 30 is 2 times 15.
[tex]\text{Balloons created in 30 minutes}=2\times 17[/tex]
[tex]\text{Balloons created in 30 minutes}=34[/tex]
Therefore, Fred can create 34 balloons in 30 minutes.
To find number of balloons created by Fred in 60 minutes, we will multiply 17 by 4 as 60 is 4 times 15. This means Fred will create 4 times more balloons in 60 minutes than 15 minutes.
[tex]\text{Balloons created in 60 minutes}=4\times 17[/tex]
[tex]\text{Balloons created in 60 minutes}=68[/tex]
Therefore, Fred can create 68 balloons in 60 minutes.
The quotient of 12 times an unknown number and 13 is 6. What is the value of the unknown number?
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12x = 78
x = 6.5
Which numbers are a distance of 2 units from 8 on a number line?
Select each correct answer.
86
10
−2
−6
−8
Answers
Answer
6 and 10
Step by step explanation
a distance of 2 units from 8 on a number line
we need to find out the numbers that are 2 units from 8 on the number line
To find out the numbers we need to subtract and add 2 from 8
[tex]8+2=10[/tex]
[tex]8-2=6[/tex]
10 is 2 units from 8 on the right side
6 is 2 units from 8 on the left side
So, 6 and 10 are 2 units away from 8 on the number line.
Angle∠efg and angle∠gfh are a linear pair, mangle∠efgequals=55nplus+2020, and mangle∠gfhequals=33nplus+1616. what are mangle∠efg and mangle∠gfh?
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Answer:
its A on edge
Step-by-step explanation:
A circle has a radius of 10 centimeters. If 7/8 of the circle is cut away, what is the area of the remaining portion? Use 3.14 for π.
A) 44.86 cm2
B) 3.93 cm2
C) 39.25 cm2
D) 358.86 cm2
Thank you :)
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A=pi*R^2
And we will have:
A=3,14*100 => A=314
Now we need to know how much 7/8 of 314 is:
(87,5%) 7/8*314 = 274,75
The only thing left to do is the diference between the 2 values 314 (100%) and 274,75 (87,5%), wich will be:
314-274,75=39,25
C .
what is an equation of the line in slope intercept form m=3 and the y-intercept is (0 4)
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y = 3x + 4
hope this helps, God bless!
Factor 9x^6 – 16y^6 completely. First factor each term. 9x^6 = (__)2 16y^6 = (__)2
Then use a2 – b2 = (a – b)(a + b).
Show your work.
9x^6 – 16y^6 =
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9 is 3^2 and 16 is 4^2
x^6 is (x^3)^2
so for the answer. factor each term
9x^6 = (3x^3)^2
16y^6 = (4y^3)^2
see that "a" is 3x^3 and "b" is 4y^3 ? put it all together
= (3x^3 - 4y^3)(3x^3 + 4y^3)
Answer:
see the equation they want you to use. factor to make it like that.
9 is 3^2 and 16 is 4^2
x^6 is (x^3)^2
so for the answer. factor each term
9x^6 = (3x^3)^2
16y^6 = (4y^3)^2
see that "a" is 3x^3 and "b" is 4y^3 ? put it all together
= (3x^3 - 4y^3)(3x^3 + 4y^3)
Step-by-step explanation:
Find the solution(s) to x2 – 14x + 49 = 0
Answers
Answer:
x=7
Step-by-step explanation:
[tex]x^2 - 14x + 49 = 0[/tex]
Factor the left hand side of the equation
product is 49 and sum is -14
-7 times -7 is 49
-7 plus -7 is -14
so two factors are -7 and -7
[tex]x^2 - 14x + 49 = 0[/tex]
[tex](x-7)(x-7)= 0[/tex]
Now we apply zero factor property
SEt each factor =0 and solve for x
x-7 =0 , x=7
The correct solution for the equation [tex]x^{2}- 14x+49 = 0[/tex] is [tex]x = 7[/tex].
Given equation,
[tex]x^{2}- 14x+49 = 0[/tex]
The equation is a quadratic equation. A polynomial equation of second degree is known as quadratic equation.
The standard form of a quadratic equation is:
[tex]ax^{2} + bx + c = 0[/tex]
Find the solution of given equation for x, Use the standard formula:
x = (-b ± √(b² - 4ac)) / (2a)
From the question,
a = 1, b =-4 , c = 49.
Put the value of a, b ,c in the formula to find x.
x = (-(-14) ± √((-14)² - 4(1)(49))) / 2(1)
= (14 ± √(196 - 196)) / 2
= (14 ± √(0)) / 2
= [tex]\dfrac{14}{2}[/tex]
= 7
The value of the discriminant [tex]\sqrt{b^{2} - 4ac }[/tex] is 0. this indicates that their will be only one value of x.
The equation [tex]x^{2}- 14x+49 = 0[/tex] has a single solution which is x =7.
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The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
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23(17) = 40x
391/40 = x
9.775 = x
The pair of triangle shown in the diagram are similar. Similar triangle have proportional corresponding sides. So you can write a proportion connecting all given known and unknown sides:
[tex]\dfrac{23}{40}=\dfrac{x}{17}.[/tex]
From here you have that
[tex]40\cdot x=23\cdot 17,\\ \\x=\dfrac{23\cdot 17}{40}=\dfrac{391}{40}=9.775\approx 9.8\ cm.[/tex]
Answer: 9.8 cm.
Solve the inequality and express your answer in interval notation. x^2+8x+3<0
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use the quadratic formula;
x = -8 + 2√13 / 2, -8 - 2√13 / 2
-4 - √13 < x < -4 + √13 (this is what they're asking as in interval notation)
hope this helps, God bless!
Answer:
-4 - √13 < x < -4 + √13
Step-by-step explanation:
John bought 15 cookies and ate 3 of them. What percentage did he eat?
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Hope this helps
If ∆JKL ≅ ∆PQR, which one of these is not a pair of corresponding parts? ∠J and ∠P and ∠L and ∠R and
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Answer:
J and P
Step-by-step explanation:
How do you solve for m using the equation 5.01cm^3=m/1.2cm^3
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To solve for 'm' in the equation 5.01cm^3 = m/1.2cm^3, multiply both sides of the equation by 1.2cm^3. This yields the solution m approx = 6.012cm^6.
Explanation:To solve the equation 5.01cm^3 = m/1.2cm^3 for m, you should first isolate m by multiplying both sides of the equation by 1.2cm^3. So, it becomes 5.01cm^3 * 1.2cm^3 = m. By conducting this multiplication, you get approximately 6.012 cm^6 = m. So, the solution to the equation is m approx = 6.012cm^6
To solve for m in the equation 5.01 cm3 = m / 1.2 cm3, we need to isolate the variable m. To do this, we can multiply both sides of the equation by 1.2 cm3. This cancels out the units of cm3 on the right side, leaving us with 5.01 cm3 * 1.2 cm3 = m.
Next, we can perform the multiplication to find the value of m. 5.01 cm3 * 1.2 cm3 = 6.012 cm3. Therefore, m = 6.012 cm3.
So, the solution to the equation is m = 6.012 cm3.
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What are expressions like 4(3+2) and 4(3)+4(2) called
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Which table shows the same rate of change of y with respect to x as y =4-5/8x? How would I even figure this out?
Table A
Table B
Table C
Table D
Answers
c
4-5/8(-4)=6.5
4-5/8(2)=2.75
4-5/8(4)=1.5
4-5/8(8)=-1
Answer:
Table B
Step-by-step explanation:
from the given equation
[tex]y=4-\dfrac{5}{8}x[/tex]
now to figure out the table which is correct we will insert values of x one by one in the given equation and will find the value of y.
Table A [tex]y=4-\dfrac{5}{8}(-3)[/tex]
[tex]y=4+\dfrac{15}{8}[/tex]
Table B [tex]y=4-\dfrac{5}{8}(-4)[/tex]
[tex]y=4+2.5[/tex] = 6.5
Table C [tex]y=4-\dfrac{5}{8}(-4)[/tex]
[tex]y=4+2.5[/tex] = 6.5
Table D [tex]y=4-\dfrac{5}{8}(-3)[/tex]
[tex]y=4+\dfrac{15}{8}[/tex]
hence the correct answer is Table B
Don't give me the answer, just explain how I can solve it, please:
SOLVE: 13 - 3x = 4 (x - 2)
Answers
distribute 4 through the parenthesis
13 - 3x = 4x - 8
move variables to the left side and change its sighn
13 - 3x - 4x = - 8
move constant to the right side and change its sign
-3x - 4x = - 8 - 13
collect like terms
-7x = - 8 - 13
-3x - 4x = - 8 - 13
calculate the sum or difference
-7x = - 21
divide both sides of the equation by - 7
x = 3
Answer:
that is the explanation elect me for brainiest pls.
Step-by-step explanation:
I hope this helps(: