Using divisibility concepts, a counterexample to the statement is given by option the number 42, option D.
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If the remainder of the division of A by B is 0, it is said that A is divisible by B.-------------
In option A, 0 is divisible by both 2(0/2 = 0) and 4(0/4 = 0), so it is not a counterexample.In option B, 12 is divisible by both 2(12/2 = 6) and 4(12/4 = 3), so it is not a counterexample.In option C, 28 is divisible both by 2(28/2 = 14) and 4(14/2 = 7), so it is not a counterexample.In option D, 42 divided by 4 is 10 with a remainder of 2, thus 42 is not divisible by 4, being a counterexample to the statement.A similar problem is given at https://brainly.com/question/24354438
If 40% of a number is 32, find 10% of that number.
Answer:
8
Step-by-step explanation:
PLEASE ANSWER FAST
Find the square root of 16.
O a
-4
Ob
4
Ос
+4
Od
-8
Answer:
the square root of 16 is 4
4/3y = 16 solve for y
Answer:
y=12
Step-by-step explanation:
First we should rewrite the left side to look like
4y/3=16
Then multiply 3 to both sides
4y=48
Now divide by 4
y=12
The equivalent value of the expression is y = 12
Given data ,
Let the equation be represented as A
Now , the value of A is
( 4/3 )y = 16
On simplifying the equation , we get
( 4/3 )y = 16
So , the left hand side of the equation is equated to the right hand side by the value of ( 16 )
Divide by 4 on both sides , we get
( 1/3 )y = 16/4
( 1/3 )y = 4
Multiply by 3 on both sides , we get
y = 4 x 3
On simplifying , we get
y = 12
Therefore , the value of y = 12
Hence , the expression is y = 12
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Help ASAP
Find the Distance between (5,2) and (-3,-4)
Answer:
[tex]d = 10[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your 2 coordinates into the formula to find distance d:
[tex]d=\sqrt{(-3-5)^2+(-4-2)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]d=\sqrt{64+36}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]d = 10[/tex]
Type an equation for the
following pattern.
How do you draw the probabilities for this tree diagram?
Step-by-step explanation:
The prize is equally likely to have been placed behind doors 1, 2, and 3, so the probabilities of D₁, D₂, and D₃ are equal.
P(D₁) = P(D₂) = P(D₃) = 1/3
The contestant initially chooses door 1, so the host will not open it.
P(H₁|D₁) = P(H₁|D₂) = P(H₁|D₃) = 0
The host will not open the door with the prize.
P(H₂|D₂) = P(H₃|D₃) = 0
The remaining probabilities for each door are equal.
P(H₂|D₁) = P(H₃|D₁) = 1/2
P(H₃|D₂) = 1
P(H₂|D₃) = 1
5(5z - 7), when z = -1
Answer:
5(5(-1)-7)
-25-35
-60
Step-by-step explanation:
Answer: -60
Step-by-step explanation:
Image!!
Solve for j.
-12 + 6j = 7j
Answer:
[tex]\large\boxed{j = -12}[/tex]
Step-by-step explanation:
-12 + 6j = 7j
Subtract 6j from both sides of the equation
[tex]\large\boxed{j = -12}[/tex]
This kind of equation can usually be solved by moving the numbers to the opposite side of the equation as the variables.
Hope this helps :)
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22/7 for π.
C=πd
r=21
d=42
C=132 ft, and D is your final answer. Hope it help!
Answer:
132
Step-by-step explanation:
D
100 POINTS!! ASAP - Pls Show all WORK
Answer:
x ≈ 28.7 ft
Step-by-step explanation:
Step 1: Define variables
Height (vertical leg of triangle) = 2 ft
∅ = 4°
We are trying to find the length of the hypotenuse x
Step 2: Use trig
sin∅ = opposite over hypotenuse
sin4° = 2/x
Step 3: Solve for x
xsin4° = 2
x = 2/sin4°
x = 28.6712
x ≈ 28.7 ft
Answer:
the Length of ramp is 28.7 feet.
Step-by-step explanation:
see attached image for clarity
give:
height (h) of clinic = 2 feet
angle of ramp = 4°
find:
Length (L) of ramp
using the formula : sin(Ф) = height (h)
Length of ramp (hypothenuse)
plugin values into the formula:
sin (4) = 2
L
L = 2
sin(4)
L = 28.7 feet
therefore,
the Length of ramp is 28.7 feet.
please help me it is easy,
Answer:
i think id say it is 10.5 i might be wrong though
Step-by-step explanation:
Answer:
14 lemonade serving
Step-by-step explanation:
1½+3=4½
In 4 liters we get 12 ⅓serving of lemonade
In ½ we get 1 serving of lemonade from the ½ we remain with to ⅙liters so we still add that as a serving
Total =12+1+1=14
4 1/2 x 2 3/5 what is the answer simplified into fraction
Answer:I tnink its 21 sorry if wrong
Step-by-step explanation:
What is the solution of the equation 8x^3 = -64?
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]8x^3=-64[/tex]
Divide both sides by 8:
[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]
[tex]x^3=-8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{-8}[/tex]
[tex]x=-2[/tex]
This year omar watched 80 movies. He thought that 54 of them were very good. of the movies he watched, what percentage did he rate as very good
Answer:
percentage flim rated very good = 54/80*100%
= 67.5%
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS QUESTION 2.5x - 3 = 2x - 2
I don't get what x is equal to
Answer:
2
Step-by-step explanation:
Use the property of equality :)
A teacher earns 32500 per year if 33% of her income is withheld for taxes, how much money is withheld for taxes
Answer:
$11,357 is withheld for taxes
( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number.
(5 - 2i)^2
Simplify.
25 - 20i + 4i^2
Remember that i^2 = -1.
25 - 20i - 4
Combine like terms
21 - 20i
5445,568
Step-by-step explanation:
Una piscina rectangular de 15 metros de largo por 9 metros de ancho està rodeada por un
camino de cemento de ancho uniforme. Si el área del camino es 112 metros cuadrados, ¿cuánto
mide su ancho?
Answer: 2 meters.
Step-by-step explanation:
Let w = width of the cement path.
Dimensions of pool : Length = 15 meters , width = 9 meters
Area of pool = length x width = 15 x 9 = 135 square meters
Along width cement path, the length of region = [tex]2w+15[/tex]
width = [tex]2w+9[/tex]
Area of road with pool = [tex](2w+15) (2w+9)[/tex]
[tex]= 4w^2+30w+18w+135\\\\=4w^2+48w+135[/tex]
Area of road = (Area of road with pool ) -(area of pool)
[tex]\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2[/tex]
width cannot be negative, so w=2 meters
Hence, the width of the road = 2 meters.
what is the opposite of the opposite of 8
Answer:
8
Step-by-step explanation:
The opposite of the opposite of 8 is just 8
Answer:
-8
Step-by-step explanation:
the opposite of 8 is -8 because of positive and negative numbers
The rule (x, y) → (-X, -y) maps A RST to A R'S'T',
Which statement correctly describes the relationship between ARST and A R'S'T'?
The triangles are congruent because AR'S'T' is a rotation of ARST, and a rotation is a rigid motion.
The triangles are congruent because AR'S'T' is a translation of ARST and a translation is a rigid
motion
The triangles are not congruent because AR'S'T' is a translation of ARST, and a translation is not a
rigid motion
The triangles are not congruent because AR'S'T' is a rotation of A RST, and a rotation is not a rigid
motion
Answer:
A
Step-by-step explanation:
These triangles are first off congruent, because the only value that is changing, is the negative sign in front.
This negative sign means that the triangle is being rotated to a different quadrant of the graph, so the answer is A.
every square root is a rational number true or false
Answer:
False
Step-by-step explanation:
The principal square root of most numbers is an irrational number with an infinite decimal expansion.
Not every square root is irrational but the statement says EVERY so false.
Hope I helped!
Please label mine as brainliest!
Answer:
False
There can be irrational numbers too. Complex, even. Also, Imaginary.
Which statement about proportional relationships is false? A proportional relationship must graph as a line. A graph of a proportional relationship must pass through (0, 0). Each point (or pair) in a proportional relationship must share the same ratio. Each point (or pair) in a proportional relationship must share the same difference.
Answer:
D: Each point (or pair) in a proportional relationship must share the same difference.
Answer: It's D
Step-by-step explanation:
Write each expression in simplest form.
3d + 6d
2 + 55-4
2z+3-92-8
Answer:
9d
53
2z-97
Step-by-step explanation:
Its basically just simplification btw.
pingu!
Which equation must be true for m(x) and n(x) to be inverse?
Answer:
see below
Step-by-step explanation:
When the functions are inverses of each other, it will be true that ...
m(n(x)) = n(m(x)) = x
The expanded form of this equation is shown below.
I just need the Inequality plz
You want to adopt a new puppy. The adoption fee is $250, and you have $105.50 saved up so far. If your after school job pays $7.50 per hour.
Answer:
Hi there!
An inequality to demonstrate this is:
105.5 + 7.5x >= 250
Hope this helps
PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST !!!
the answer is c
i already done it
Answer:
1/3 would be your answer
Step-by-step explanation:
anyway have a great day
simplify (4x+1)(3+9x)
Answer:
36 x 2 + 21 x + 3
Step-by-step explanation:
Simplify the expression.
Add and subtract the second term to the expression and factor by grouping. You get 3 ( 4 x + 1 ) ( 3 x + 1 )
!!!!25 POINTS HELP NOW PLEASE!!!! Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 66°F, 57°F, 61°F, 65°F, 54°F, 62°F, 59°F, 56°F What is the mean absolute deviation of this data set? Enter your answer in the box.
g The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon (mpg) on the vertical axis. The overall direction of this data is __________. The strength of the association is __________. a.) positive; weak b.) positive; strong c.) negative; strong d.) negative; weak
scatterplot relating to the question is attached below.
Answer: Negative ; Strong
Step-by-step explanation:
From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.
| x | >= 4 draw the graph
Answer:
Solve for x
x ≤ −4 or x ≥ 4