Answer:
76.47
How I did it(using a specific range)
(n, 54, 66 (120 C)) 2¹²⁰ = 0.76 × 100 ≈ 76.47
use technology to find the solution to the system:
Answer:
Y = 2
X = - 2
Step-by-step explanation:
8x-4y= - 24 eq 1
4x-12y = - 32 eq 2
Multiply equation 2 by (×-2)
Then
-8x +24 y = 64. Eq 3
Add eq 1 to eq 3
20y = 40 then y = 2
From eq 1
8x - 4(2) = - 24
8x = - 16
X = - 2
Kristy incorrectly says
that the volume of the sphere below is
144T cubic units. What mistake might Kristy
have made?
The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
How to find the Area of a Sphere?We are given the volume of the sphere as 144π cubic units.
From the attached file, we see that the radius of the sphere is 6.
Formula for Volume of a Sphere is;
V = ⁴/₃πr³
Thus;
V = ⁴/₃π * 6³
V = 288π cubic units
Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
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Laura is a single taxpayer, she has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. use the tables to complete the statement
Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.
What is a tax bracket?Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.
The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on
whether or not they are singleIf married, whether they are filing jointly; andhow much their annual income is subject to deductibles.It is to be noted that a general answer was provided here due to insufficient details in the question.
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a drawing of a room has a scale of 1 inch = 4 feet. if the actual dimensions of the room are 14 feet by 16 feet. what are the dimesnsions of the room o on the drawing
Answer:
3.5 inches by 4 inches
Step-by-step explanation:
Expand and simplify:
[tex]( \sqrt{3} + 1)( \sqrt{3} - 3)[/tex]
Answer:
[tex]-2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\textsf{Given expression}: \quad(\sqrt{3}+1)(\sqrt{3}-3)[/tex]
[tex]\textsf{Use the FOIL method to expand}\quad(a+b)(c-d)=ac-ad+bc-bd:[/tex]
[tex]=\sqrt{3}\sqrt{3}-3\sqrt{3}+1\sqrt{3}+1(-3)[/tex]
[tex]=\sqrt{3}\sqrt{3}-3\sqrt{3}+1\sqrt{3}-3[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{a}=a:[/tex]
[tex]=3-3\sqrt{3}+\sqrt{3}-3[/tex]
[tex]\textsf{Collect like terms}:[/tex]
[tex]=3-3-3\sqrt{3}+\sqrt{3}[/tex]
[tex]\textsf{Combine like terms}:[/tex]
[tex]=0-2\sqrt{3}[/tex]
[tex]=-2\sqrt{3}[/tex]
A____________ is sometimes a rhombus
A. Triangle
B. Square
C. Rectangle
D. Trapezoid
Answer:
C (Square)
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.
please help me I have been working on this for 20 minutes
Answer:
First Figure:
Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.
E.) x° = 90° - 68° -----> x° = 22°
Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.
H.) y° = 180° - 90° - 22° -----> y° = 68°
Second Figure:
A similar process can be taken for the second figure.
T.) x° = 180° - 90° - 74° -----> x° = 16°
E.) y = 90° - 50° -----> y° = 40°
Third Figure:
Again, remember that right triangles = 90° and lines = 180°.
C.) w° = 180° - 90° - 31° -----> w° = 59°
R.) x° = 90° - 28° -----> x° = 62°
H.) y° = 180° - w° -----> y° = 180° - 59° -----> y° = 121°
Find the quotient 16)4.88
Answer:
if this is 4.88/16 then the answer is 0.305.
What is the value of x?
42
21
19
38
Answer:
21.
Step-by-step explanation:
Angles subtended by the same arc on the circumference of the circle are congruent, so:
2x = 42
x = 21.
1/3 Person who anwsner get brainlist
Answer:
1/3 is the same as 0.33...(The decimal continues on from here.)
Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes. How long would it take Goblin Girt to count the coins in the bag alone.
The Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let's suppose the Goblin Girt take x minutes to count the coins in the bag alone.
Then we can frame an equation to find the value of x:
[tex]\rm \dfrac{1}{x}+\dfrac{1}{10}=\dfrac{1}{6}[/tex]
[tex]\rm \dfrac{1}{x}=- \dfrac{1}{10}+\dfrac{1}{6}[/tex]
[tex]\rm \dfrac{1}{x}=\dfrac{1}{15}[/tex]
x = 15 minutes (reciprocal on both sides)
Thus, the Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.
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Which number has 3 significant
figures?
A. 15.233
B. 153.2
C. 5.24399
D. 57.2
Answer:
b because it is
Step-by-step explanation:
153.2 is a cool number
The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. a 40-kg object is 2 meters off the ground. the potential energy of the object is 784 joules. a 10-kg object is 3 meters off the ground. what is the potential energy of the 10-kg object? 33 joules 131 joules 294 joules 1,176 joules
The potential energy of the 10-kg object is 294 joules.
What is Variation?Variation is a mathematical term that shows the relationship between two or more parameters or quantities in an equation.
Analysis:
let potential energy be = P
let mass be = m
let height be = h
P ∝ mh
P = kmh
when P = 784, m = 40kg, h = 2 meters
784 = k x 40 x 2
k = 9.8
P = 9.8mh
when m = 10kg, h = 3 meters
P = 9.8 x 10 x 3 = 294 joules.
In conclusion, the potential energy of the object at 3 meter height is 294 joules.
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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the ohitcome of a single trial of a random experiment. Compute the probability of each of the following events. 00 Event A: The sum is greater than 9. Event B: The sum is not divisible by 6. Write your answers as fractions.
Answers:
P(A) = 1/6
P(B) = 5/6
=========================================================
Explanation:
Let's calculate P(A).
Refer to the dice chart below.
We have
3 copies of "10"2 copies of "11"1 copy of "12"There are 3+2+1 = 6 sums that are greater than 9.
This is out of 6*6 = 36 sums total
P(A) = 6/36 = (1*6)/(6*6) = 1/6
----------------------
Now to calculate P(B).
The multiples of 6 in the table are: 6, 12
There are 5 copies of "6"There is 1 copy of "12"There are 1+5 = 6 items that are a multiple of 6. This means we have 36-6 = 30 sums that aren't a multiple of 6
P(B) = 30/36 = (5*6)/(6*6) = 5/6
Side note: it's probably coincidence that P(A)+P(B) = 1 in this case.
Which statements are true regarding the scenario? check all that apply. the probability you select a red marble is three-tenths. the probability you select a purple marble is three-tenths. p(red) p(yellow) p(purple) = 1 the probability you select a green marble is 0. the probability you select a yellow marble is 3.
The correct options are:
The probability you select a purple marble is 3/10
P(Red) + P(Yellow) + P(Purple) = 1
The probability you select a green marble is 0.
What are the correct options?Probability calculates the chance that an event would happen. If it is certain that the event would not happen, it would have a value of 0. If it is certain that the event would happen, it would have a value of 1.
Probability of picking a red marble = total number of red marbles / total number of marbles
= 4/10
Probability of picking a purple marble = total number of purple marbles / total number of marbles
3/10
P(Red) + P(Yellow) + P(Purple) = 4/10 + 3/10 + 3/10 = 1
Here is the complete question:
A bag contains four red marbles, three yellow marbles, and three purple marbles. You will randomly select one marble from the bag.
Which statements are true regarding the scenario? Check all that apply.
The probability you select a red marble is 3/10
The probability you select a purple marble is 3/10
P(Red) + P(Yellow) + P(Purple) = 1
The probability you select a green marble is 0.
The probability you select a yellow marble is 3.
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Answer:
b,c,d on edge
Step-by-step explanation:
trust
laura cuts a square out of scrap paper. what is the angle measure of the piece left over?
HURRY UP I NEED THIS ANSWER BEFORE 12:30!!!
Answer:
I would be a right angle or 90°
Explanation:
If a square is cut out of the paper, every corner of a square is a right angle, so there's your answer.
hope i helped :)
i have number 9 , i just need number 10
if the circle is centered at point O, what is the measure of MON ?
Jimmy said that a rhombus is always a square. Zach said that a rhombus is always a rectangle. who is correct
Answer:
Jimmy is correct
Step-by-step explanation:
The dimensions of the rhombus and square are probably almost the same
answer question in pic, thanks!!
Answer:
6.42 %
Step-by-step explanation:
3412.23 = 2500(1+i)^5
i = 6.42%
After the translation, where is A located?
Answer:
(-3, 13)
Step-by-step explanation:
The transformation that moves a point 4 left and 8 up is ...
(x, y) ⇒ (x -4, y +8)
The transformation that reflects a point across the y-axis is ...
(x, y) ⇒ (-x, y)
Applied after the translation, the transformation of ∆ABC becomes ...
(x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)
Then point A gets moved to ...
A(7, 5) ⇒ A'(4 -7, 5 +8) = (-3, 13)
How many possible outcomes exist when four fair coins are flipped? 2 4 8 16
Answer:
16
Step-by-step explanation:
50-50 chance for each
2x2x2x2=16
please help meh I give brainliest
100 POINTS PLEASE HELP (pictures are down below)
Step-by-step explanation:
photos explain. in the second photo, A didnt start at 0 so it looked not accurate
there were v crayons In a box.1/6 of the crayons were new.angie added another 24 new crayons to the box and there are 30 new crayons altogether.how many crayons were there in the box at first
Answer: 36
Step-by-step explanation:
If there are 30 new crayons, all you have to do is subtract the 24 new crayons Angie added, thus being six new crayons. Multiply this by 6 to get 36.
help me please i don't understand
The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
How to determine the depth of the water in a waterslide
In this question we should apply the concepts of right triangles and trigonometric functions to determine the height of the water within the waterslide. A geometric diagram of the cross section of the waterslide is presented below, which indicates the existence of circular symmetry.
Now we proceed to determine the height of the water:
cos α = (0.5 m/0.75 m)
α ≈ 48.190°
y = (0.75 m) · sin 48.190°
y = 0.559 m
x = 0.75 m - 0.559 m
x = 0.191 m
The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
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A survey of birds in Forests A and B counted the number of robins and sparrows. Use the resulting frequency table to find each percentage.
Robins Sparrows Totals
Forest A 9 16 25
Forest B 36 64 100
Totals 45 80 125
percent of birds in Forest B that are robins =
%
percent of sparrows that are in Forest A =
%
percent of birds that are in Forest A =
%
Answer:
36%20%20%Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B36 / 1000.3636%Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows16 / 800.220%Percentage of birds in Forest A :
Birds in Forest A / Total birds25 / 1250.220%Answer:
36%
20%
20%
Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B
36 / 100
0.36
36%
Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows
16 / 80
0.2
20%
Percentage of birds in Forest A :
Birds in Forest A / Total birds
25 / 125
0.2
20%
Find the distance between points p(6, 2) and q(-3, 8) to the nearest tenth.
Answer:The distance is 10.8
Step-by-step explanation:
convert 221 quinary number into decimal number.
Step-by-step explanation:
______________________( First of all to convert quinary to decimal we need to multiply them by 5 )
So let's solve now.....
= 221
Solution,
Converting quinary number to decimal .....
= 2 × 5² + 2 × 5¹ + 1 × 5⁰
The value of any number to the power 0 is 1 ...
= 2 × 25 + 2 × 5 + 1 × 1
= 50 + 10 + 1
= 61..
______________________Hence the answer is 61....
______________________Tim is 5 feet tall and casts a shadow that is 2 feet long. He stands next to a tree that is 30 feet tall. How long is the shadow the tree casts?
Answer:
12 ft
Step-by-step explanation:
Tim Height: Tim Shadow
5ft : 2ft
Tree Height: Tree Shadow
30ft : ?ft
Using this knowledge, we can compare Tim's Height to the Tree's Height. The tree's height is 6 times more than Tim (5x6=30). We can find the shadow of the tree if we multiple tim's shadow by 6.
Therefore, 2ft x 6 = 12ft
The Tree's Shadow is 12ft.
A traveler pulls a suitcase, as shown in the figure.
The force acting on the handle is 30 N at an angle of θ = 40°. How much work is done if the traveler moves 120 meters? Round to the nearest whole number.
2,314 Nm
2,758 Nm
3,085 Nm
4,156 Nm
&
A cart weighing 180 pounds rests on an incline at an angle of 35°. What is the required force to keep the cart at rest? Round to the thousandths place.
77.073 pounds
103.244 pounds
147.447 pounds
162.665 pounds
Answer:
2758 Nm
Step-by-step explanation
Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.
We usually find component using cos θ.
Here θ is 40°
Now, the modified equation becomes,
Work Done = Force * Distance * Component of force along the direction of distance
∴ Work = 30 N * 120 m * Cos 40°
⇒Work = 30 * 120 * 0.766
⇒Work = 2757.6 Nm
Rounding to the nearest whole number.
∴ The work done by force is 2758 Nm which is option B
The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.
What is work done?The product of the force and displacement.
WD = F × d × cos θ
A traveler pulls a suitcase, as shown in the figure.
The force acting on the handle is 30 N at an angle of θ = 40°.
Then the amount of work done if the traveler moves 120 meters will be
WD = 30 × 120 × cos 40°
WD = 30 × 120 × 0.766
WD = 2758 Nm
Then the correct option is B.
A cart weighing 180 pounds rests on an incline at an angle of 35°.
The required force to keep the cart at rest will be
Fₓ = F × cos θ
Fₓ = 180 × cos 35°
Fₓ = 147.447 pounds
Then the correct option is C.
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