You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.
If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
[tex]\frac{1}{3}(6x+23)+\frac{1}{3}[/tex]
please see the attached picture for full solution
hope it helps
good luck on your assignment..
Before a geometric object goes through a transformation it is called which of the following?
(1) the initial image
(2) the beginning image
(3) the pre-image
(4) the preliminary image
Answer:
The pre-image
Step-by-step explanation:
Hope this helps ya!
Can I get some help ASAP
Answer:
The top of the ladder touches the tree 14 ft above the ground.
Step-by-step explanation:
The Pythagorean Theorem incorporates the ladder length (17.5 ft), the distance of the base of the ladder from the base of the tree (10.5 ft), and the point where the ladder touches the tree (x ft):
x^2 + 10.5^2 = 17.5^2, or
x^2 + 110.25 = 306.25. Then x^2 = 196, and x = +14 (Answer C)
The top of the ladder touches the tree 14 ft above the ground.
If Larry gets 5% of 80 questions wrong, how many did he get correct? Provide an explanation :)
A. 8
B. 70
C. 4
D. 76
Answer:
The answer is D.
Step-by-step explanation:
Given that Larry wrong 5% of the questions and he correct the remaining 95%. So in order to find how many questions he correct, first, you have to convert the percentage to decimal by dividing it by 100 :
[tex]95\% = \frac{95}{100} = 0.95[/tex]
Next, you have to multiply by the total number of questions :
[tex]0.95 \times 80 = 76 \: questions[/tex]
what’s the best answer ???
Answer:
Option A
Step-by-step explanation:
Slope is: [tex]m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-4,3) and (3,1).
[tex]m=\frac{1-3}{3-(-4)}=\frac{-2}{7} =\boxed{-\frac{2}{7}}[/tex]
Option A should be the correct answer.
What is the degree measure of arc HG?
Answer:
arc HG = 40°
Step-by-step explanation:
The inscribed angle HFG is one half the measure of its intercepted arc, that is
3x + 2 = [tex]\frac{1}{2}[/tex] (5x + 10) ( multiply both sides by 2 )
6x + 4 = 5x + 10 ( subtract 5x from both sides )
x + 4 = 10 ( subtract 4 from both sides )
x = 6
Thus
arc HG = 5x + 10 = 5(6) + 10 = 30 + 10 = 40°
Please Answer Quick!!
The diameter of a big circle is 36 feet. What is the ratio of the circle’s radius to its diameter?
Answer:
In ALL circles, the diameter is twice the radius.
Therefore, the ratio of of radius to diameter in ALL circles is .5
Step-by-step explanation:
Answer:
1 : 2
Step-by-step explanation:
Diameter = 36 ft
Therefore, radius = 36/2 = 18 ft
Ratio of the circle’s radius to its diameter
[tex] = \frac{18}{36} \\ \\ = \frac{1}{2} \\ \\ = 1 \: : \: 2[/tex]
Which statement describes the graph of the function?
Answer:
The function has a hole when x = 0 and a vertical asymptote when x = 4.
Step-by-step explanation:
The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.
The coordinates from the given table (-0.2, -0.238), (-0.1, -0.244), (0.1, -0.256), (0.2, -0.263), (3.7, -3.3) (3.8, -5), (3.9, -10), (3.99, -100) and (4.01, 100).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
From the table, we have:
f(0) = undefined
f(4) = undefined
One of these values (the lesser value of x i.e. x = 0) is a hole, while the other is a vertical asymptote
Using the above as a guide, the correct statement is the function has a hole when x = 0 and a vertical asymptote when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.
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Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y > 4.
O (2, -1) satisfies the inequality, but (- 4, 2) does not.
Both (2, -1) and (-4, 2) satisfy the inequality.
(-4,2) satisfies the inequality, but (2, - 1) does not.
Neither (2, - 1) nor (- 4,2) satisfies the inequality.
Answer:
Both
Step-by-step explanation:
The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
(2, - 1) and (-4, 2) and inequality 2x – 3y > 4
Now, (2, -1)
2(2) - 3(-1)
4 + 3
7>4
and, take (-4, 2)
2(-4) - 3(2)
= -8 -6
= -14 < 4
Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.
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Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100 + te2 C) A = 100e2t D) A = 100 + e2t
Answer:
100 (+1) x 2^t = 100 (+2et) as we plus and we multiply before squaring the years.
Step-by-step explanation:
You cna now work this out as +1 represents the 100% + 200% sum.
Answer:
C) [tex] A = 100e^{2t} [/tex]
Step-by-step explanation:
Continuous growth:
[tex] A = Pe^{rt} [/tex]
r = rate as a decimal
r = 200% = 2
P = initial value = 100
[tex] A = 100e^{2t} [/tex]
Can someone please help me with this I need help finding x and y using special right triangles and if you could please explain how
Answer:
y=46.445
x=24.04
Step-by-step explanation:
rule for first triangle which is right isosceles triangle with angles 30-60-90
sin 30 = opp/hypt.
0.5= opp/34
opp=17 which is the height
the part of y in the first triangle = a^2+b^2=c^2
a^2= 17^2 , b^2=y , c^2 =34
y ( first triangle )= √867=29.445
second triangle is right angle triangle 45-90-45
x= 24.04
sin 45= opp/hypt.
1/√2 =17/x
x= 17*√2 = 24.04
solving for other part of y in the right triangle
h= y = 17
the whole base y= 29.445+17 = 46.445
Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Answer:
[tex]15516.3163[/tex]
Step-by-step explanation:
[tex]8500\cdot(1.034)^{18}=15516.3163[/tex]
If Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516
Using this formula
Amount=P(1+r)n
Where:
p represent principal=$8,500
r represent rate=3.4% or 0.034
n represent number of years=18 years
Let plug in the formula
Amount=$8,500(1+0.034)∧18
Amount=$8,500(1.034)∧18
Amount=$8,500(1.82544)
Amount=$15,516
Inconclusion if Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516
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There are 68 apples in the school kitchen. The school needs 130 apples for all the students in grade 2. The school gets two boxes of apples. Each box has three dozen apples inside. Does the school have enough apples for all the students in grade 2 ?
Answer:
Yes.
Step-by-step explanation:
Apples needed =130
apples in the kitchen =68
130-68= 62 to complete for all the students
1 (3 dozens x 12) = 36 apples x 2= 72
68 +72=140 apples available for all the students
Answer:
Yes
Step-by-step explanation:
The reason for this is because 1 dozen is 12. And the schools bought 6 dozens of apples. If you multiply 36 by 2 you get 72. Then if you add 72+68 you get 140 apples, but the school only needed 130 apples. So yes the school has enough apples for grade 2.
Hope it helps
What is the solution to the system of linear equations?
{2x + 4y = 20
{3x + 2y = 26
Enter your answer in the boxes.
Answer:
x = 8, y = 1.
Step-by-step explanation:
2x + 4y = 20
3x + 2y = 26 Multiply this equation by -2:
-6x - 4y = -52 Add this to the first equation:
-4x = -32
x = -32/-4
x = 8.
Plug x = 8 into the first equation:
2(8) + 4y = 20
4y = 20 - 16 = 4
y = 1.
CAN 10/12 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 7/16 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 2/9 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 1/8 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
Answer:
No
Yes
No
No
Step-by-step explanation:
Please help me!!! :(
Answer:
Green Material: 129.6 in³
Brown Material: 194.4 in³
Step-by-step explanation:
The volume of the bin is 4×18×9 in³ or 648 in³
20% of 648 is 129.6 in³ (brown material)
30% of 648 is 194.4 in³ (green material)
In a standard 52−card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10.
Suppose a solitaire player has played 800 games. Predict how many times the player turned over a black card as the first card.
The player can expect to turn over a black card about
( answer ) times.
Answer:
the player can expect to turn over a black card about 400 times.
Step-by-step explanation:
the way to solve a probability question is like this:
there are 52 total cards, out of those 52 cards, half of them are black cards.
that means 1/2 of 52 = black cards
if the plays 800 times, and half of the cards are black, the player can expect to have a 50% chance of flipping over a black card.
800/50 = 400.
therefore the player can expect to have flipped a black card 400 times.
Q. Write the slope-intercept form of the equation of a line using the given graph.
I need help on these two questions please.
Answer:
7)x=20 8)x=19
Step-by-step explanation:
7)4x-40=2x
4x-2x=40
2x=40
x=20
8)
2x+19=3x
3x-2x=19
x=19
factor the expression. x^2+11x+28
Answer:(x+4)(x+7)
Step-by-step explanation:
The middle number is 11 and the last number is 28.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 11
Multiply together to get 28
Can you think of the two numbers?
Try 4 and 7:
4+7 = 11
4*7 = 28
Fill in the blanks in
(x+_)(x+_)
with 4 and 7 to get...
(x+4)(x+7)
Find the sum of the measures of the exterior angles of a convex 65-gon.
Answer:
Answer is below
Step-by-step explanation:
The sum of the measures of exterior angles on any shape is always 360 degrees.
If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.
(n-2)(180) Substitute
(65-2)(180) Subtract
(63)(180) Multiply
11340
Sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]
An exterior angle is an angle between a side of a polygon and an extended side adjacent to it.
A polygon refers to any closed curve comprised of a set of connected sides such that no two sides cross.
Convex [tex]\boldsymbol{65-}[/tex]gon means a convex polygon with [tex]\boldsymbol{n}[/tex] sides.
The sum of measures of any polygon is equal to [tex]\boldsymbol{360^{\circ}}[/tex]
So, the sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]
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Select the correct answer from each drop-down menu.
cos(420°) =
sin(450°) =
Answer:
see below
Step-by-step explanation:
cos(420°) = cos 60 = 1/2
sin(450°) = sin 90 = 1
Answer:
See below in bold.
Step-by-step explanation:
cos (420) = cos (420 - 360)
= cos 60
= 1/2.
sin 450 = sin(450-360)
= sin 90
= 1.
An equation is shown. What is the value of the missing number? 0.86 x *blank* = 86
Answer:
100
Step-by-step explanation:
0.86 x 100 = 86
Answer:
100
Step-by-step explanation:
Tendrias que sacar la x pasar 86 a dentro lo cual te daria x= 86÷ 0.86
lo cual te daria 100
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7). Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answer:
Here's what I get.
Step-by-step explanation:
Assume the figure is like Image 1 below.
We must dilate each point by a scale factor of 3 centred at (2, −7).
1. Determine the transformation rules
Each point moves to three times its original distance from the centre.
Let P = a point on the figure and
let O = the centre of dilation
and L = the distance from the point to the centre. Then
L = P - O
Three times that distance is
3L = 3P - 3O
We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O.
P' = 3L + O = 3P - 3O + O = 3P + 2O
If P is at (x,y) and O is at (h,k), the transformation rule is
(x,y) ⟶ (3x - 2h, 3y - 2k)
2. Make a table of the new coordinates
[tex]\begin{array}{cclc}\textbf{Point} & \mathbf{(x,y)} &\textbf{Image Coordinates } \mathbf{(3x - 2h, 3y - 2k)}&\mathbf{(x',y')} \\A & (-2,-7) & (-6,-21) -2(2,-7) = (-6 - 4, -21 + 14) & (-10,-7) \\B & (0,-4) & (0,-12) -2(2,-7) = (0 - 4, -12 + 14)& (-4,2) \\C & (3,-3) & (9,-9) -2(2,-7) = (9 - 4, -9 + 14) & (5,5) \\D & (4,-5) & (12,-15) -2(2,-7) = (12 - 4, -15 +14) & (8,-1) \\\end{array}[/tex]
3. Graph the new shape
You should get a graph like Fig. 2.
The rays from Point O pass through corresponding points in the two shapes, so this is a dilation about O.
Point B is two units left of O and three units up.
Also, B' is six units left and nine units up, so the scale factor is three.
Plz help ASAP will give brainliest if answered correctly!!
Answer:
C
Step-by-step explanation:
Multiply 5/8 by 4 in which you get 2.5 which is 5/2 and simplify, then you get answer C
What is the scale factor used to
enlarge an 8" by 10" original
photo to a 16" by 20" image?
A. 2
B. 2.5
C. 0.5
D. 1.6
Answer:
!!B!!
Step-by-step explanation:
What is the scale factor used to
enlarge an 8" by 10" original
photo to a 16" by 20" image?
A. 2
B. 2.5....is the answer
C. 0.5
D. 1.6
I hope it helps.Answer:
A
Step-by-step explanation:
8x2= 16 10x2=20
Will mark brainlyest with 50 points and 4 thank you's
Three children are having a Birthday Party. Can you work out how many candles need to go on each cake?
Read the clues and show your work.
Clue 1: Maya and Josh have 20 candles
Clue 2: Maya and Sam have 13 candles
Clue 3: Sam and Josh have 15 candles
Clue 4: There are 24 candles altogether.
How many candles are on Maya’s cake?
How many candles are on Josh’s cake?
How many candles are on Sam’s cake?
Maya=10
Sam=3
Josh=12
Hope this helps.
: )
Answer:
im still alli
Step-by-step explanation:
What is the area of a circle that has a diameter of 112? USE 3.14 FOR PI!!!!
DO NOT ROUND. *
Your answer
Answer: 9852.034562
Step-by-step explanation:
Answer:
=9847.04
Step-by-step explanation:
The diameter is 112
The radius is 1/2 of the diameter
r = d/2 = 112/2 =56
The area of a circle is
A = pi r^2
= 3.14 (56)^2
=9847.04
Factor this polynomial completely.
12x2+x-6
Step-by-step explanation:
12 x 2 = 24 + x = 24x - 6 = 18x
Hope This Is Correct For You
Name the types of angles shown check all that apply
Answer:
There are straight, zero, right, obtuse,acute, complementary, supplementary, vertical
Step-by-step explanation:
These are a few I know of