Answer:
The correct option is J.II, III, IV and V only.
Step-by-step explanation:
A rational number are those numbers that can shown in a p/q form or as the ratio of two numbers.
The numbers that cannot be shown as the ratio of two numbers are known as irrational.
Consider each number at a time:
[tex]\sqrt{49} =7\equiv 7:1[/tex]
[tex]0.287=\frac{287}{1000}[/tex]
[tex]\sqrt{\frac{9}{16}}=\frac{3}{4}\equiv 3:4[/tex]
[tex]25\equiv 25:1[/tex]
Thus, the numbers that are rational are II, III, IV and V.
The correct option is J.
I’m being timed help!!!!!!!!!!!!!!
Answer:
[tex]\frac{1}{3} x-2[/tex]
Step-by-step explanation:
Answer:
y=1/3x-2
Step-by-step explanation:
HOPE THIS HELPS!!!! :)
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a cube measuring 1 cm on each side, what is the volume, if the cube was dropped into 28ml of water. what would the
Answer:
29 ml
Step-by-step explanation:
Vcube = 1cm×1cm×1cm = 1 cm³
1 cm³ = 1 ml
If this cube is dropped into a 28ml of water the new reading will be 29 ml.
hope this helped :)
Chose all the values of x that are not in the domain of this rational function. Picture attached, 15 points and I'll give Brainliest! Due in two hours. A. 5 B. -5 C. -2 D. 2
Answer:
Solution : Option A and Option C
Step-by-step explanation:
To find the values of x that are not present in the domain, we can start by making the denominator equal to 0. This would make the fraction undefined, and hence will solve for the value(s) of x that do not belong to the function -
x² - 3x - 10 = 0,
(x + 2)(x - 5) = 0,
x = - 2 and x = 5
Domain {x | x ≠ - 2 ≠ 5 }
Hence our solution(s) are option a and option c
Answer:
[tex]\huge \boxed{x=5 \ \mathrm{and} \ x=-2}[/tex]
Step-by-step explanation:
The domain of a function are all possible values for x.
To find the domain of a rational function, we set the denominator equal to 0, and solve for x. Those values of x are not included in the domain, since the denominator of 0 would make the rational function undefined.
[tex]x^2-3x-10 =0[/tex]
Factoring left side of the equation.
[tex](x+2)(x-5)=0[/tex]
Setting the factors equal to 0.
[tex]x+2=0 \\ \\ x=-2 \\ \\ \\ \\ x-5=0 \\ \\ x=5[/tex]
The values of x that are not in the domain of the rational function are x = -2 and x = 5.
James just won the lottery for $30 million! He has two choices: first, he may receive $15 million today, or he may receive equal payments of $1 million a year for the next 30 years. Currently, the discount rate that he could invest the $15 million is 7% compounded annually. What should James do?
Answer:
The best option is the first one. It provides a higher present value.
Step-by-step explanation:
Giving the following information:
Option 1:
Receive $15,000,000 today.
Option 2:
Receive $1,000,000 for 30 years.
Discount rate= 7% compounded annually
To compare both options, we need to calculate the present value of Option 2. The option with the higher present value is the most convenient.
Option 2:
First, we need to determine future value:
FV= {A*[(1+i)^n-1]}/i
A= annual cash flow
FV= {1,000,000*[(1.07^30) - 1]} / 0.07
FV= $94,460,786.32
Now, the present value:
PV= FV/(1+i)^n
PV= 94,460,786.32 / (1.07^30)
PV= $12,409,041.18
The best option is the first one. It provides a higher present value.
X=−4a 2 +3ab+12b 2 Y=9a 2 +ab−7b 2 Y+X=Y+X=Y, plus, X, equals
Answer:
5a
2
+4ab+5b
2
Step-by-step explanation:
step 1. (((0-(4•(a2)))+3ab)+(12•(b2)))+(((9•(a2))+ab)-7b2)
step 2. (((0-(4•(a2)))+3ab)+(12•(b2)))+((32a2+ab)-7b2)
step 3.(((0-(4•(a2)))+3ab)+(22•3b2))+(9a2+ab-7b2)
step 4. (((0-(4•(a2)))+3ab)+(22•3b2))+(9a2+ab-7b2)
step 5. 5.1 Factoring 5a2 + 4ab + 5b2
Using first the customary ruler and then the metric ruler, measure the length of the side of the wooden block. Remember to estimate to one place value beyond the rulers’ gradations.
Answer:
2.54 and 0.393 :))))))
Answer:
✔ 1 3/32 in
inches
✔ 2.78 cm
centimeter
Step-by-step explanation:
edge 2023
Lucero dibujo las diagonales de un polígono regular y se dio cuenta que tiene que trazar 7 diagonales más que el numero de lados. ¿cuanto es la suma de ángulos internos de ese polígono?
Answer:
The sum of all internal angles of this polygon is: [tex]900^o[/tex]
Step-by-step explanation:
Recall that the formula for the number of diagonals of a polygon with n-sides is given by the formula:
[tex]diagonals=\frac{n\,(n-3)}{2}[/tex]
and since Lucero noticed that the number of digonals was 7 more that the number of sides, then, these two quantities (n + 7) and the number of diagonals must be equal. we can set an equation stating such, and solve for "n" (number of sides of the polygon):
[tex]n+7=\frac{n\,(n-3)}{2} \\2(n+7)=n(n-3)\\2\,n+14=n^2-3\,n\\n^2-3\,n-2\,n-14=0\\n^2-5\,n-14=0\\(n-7)\,(n+2)=0\\[/tex]
therefore n = 7 or n = -2
The only answer with meaning is the first one (7 sides), since a polygon must have a positive number of sides.
Now that we know the number of sides of the polygon, we can find what the sum of its internal angles should give, based on the equation;
Addition of internal angles of a polygon is = [tex](n-2)\,180^o[/tex]
Which in our case renders:
[tex](n-2)\,180^o=(7-2)\,180^o= 5\,(180^o) = 900^o[/tex]
Choose the function for the graph below.
Answer:
I don't think that it is a function.
8 × p is less then 8 but greater then 0
Answer:
Step-by-step explanation:
3 + 5n - 4n + 10 +3n
Answer:
4n+13
Step-by-step explanation:
Answer:
4n+13
Step-by-step explanation:
group all the like terms together to get 5n-4n+3n= n+3n= 4n, and group 3+10 together to get 13. the finished answer should be 4n+13
Find the domain of the function. (Enter your answer using interval notation.)
Answer:
The Domain should be (10,+infinity) as x>10
Step-by-step explanation:
Evaluate a(4b + c2) if a = 2, b = 5, and c = 1.
Answer:
42
Step-by-step explanation:
a = 2, b = 5, and c = 1
a*(4b + c²) = ⇒ plug in values2*(4*5 + 1²) = ⇒ solving exponents2*(20 + 1) = ⇒ parenthesis2*21 = ⇒ multiplication 42 ⇒ answerAnswer:
The answer is 42 .
Step-by-step explanation:
Here,
a = 2
b = 5
c = 1
Now,
[tex]a(4b+c^{2} )[/tex]
[tex]= 2(4 * 5 +1^{2} )[/tex]
= 2( 20 + 1 )
= 2 x 21
=42
Ami and Ria are playing a game where one of them would pick up a card and the other would guess the number. Ami picked up a card and read the rules to Ria which were: 1. It is an odd number 2. It is a composite number divisible by three different prime numbers. Which of the following would be Ria's correct guess? A: 30 B: 75 C: 189 D: 315
Step-by-step explanation:
Odd numbers from the list are 75, 189, and 315.
75, 189, and 315, are composite numbers.
Prime factorization of 75 = 3 × 5 × 5
Prime factorization of 189 = 3 × 3 × 3 × 7
Prime factorization of 315 = 3 × 3 × 5 × 7
315 is an odd number, and a composite number that is divisible by 3 different prime numbers.
The correct answer would be Option D 315
What are prime numbers in math?A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into other numbers. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Numbers that have more than two factors are called composite numbers.
Given here: The number must be odd and has three prime factors
In option D 315 its prime factorization is 315=3²×5×7
It has 3 different prime factors 3,5,7 and thus option D is the correct answer.
Hence, The correct answer would be Option D 315
Learn more about prime numbers here:
https://brainly.com/question/4184435
#SPJ2
Someone help? pretty sure it is inequalities
Answer:
[tex](-1,2,-1)[/tex]
Step-by-step explanation:
we already know that c= -1
we can substitute in 4b + c =7
[tex]4b+(-1)=7\\\\4b-1=7\\\\4b=7+1\\\\4b=8\\\\b=2[/tex]
we can substitute in a + b -5c = 6
[tex]a+(2)-5(-1)=6\\\\a+2+5=6\\\\a+7=6\\\\a=6-7\\\\a=-1[/tex]
so it is
[tex](-1,2,-1)[/tex]
What is the square root of 2?
Answer: 1.41421356237 in a short answer it would be 1.4
Step-by-step explanation:
If someone could help me
Answers:
1a. nonlinear1b. nonlinear1c. linear1d. linearStep-by-step explanation:
A linear function must be straight. It can have a slope, but it must not curve.
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)Mary poppies provides childcare in her home. She charges $7 per hour per child. On Wednesday she cared for lily for 4 hours, Tommy for 6 hours, Bonnie for 3 hours, and banks for 2 hours. What was her total pay?
Answer:
If banks is a kid the answer is $105
Step-by-step explanation:
4•7=28
6•7=42
3•7=21
2•7=14
Add all those together and you get $105 but if banks isn’t a kid then the answer is $91
find the displacement
Answer:
55.
Step-by-step-explanation:
In a velocity/time graph like this the total displacement is the area of the body.
This is the area of (from left to right) of triangle OBF + area of the 2 rectangles + area of triangle CDE
Here this is 1/2 * 2 * 5 + 5 *4 + 5 * 4 + 1/2 * 5 * 4
= 5 + 20 + 20 + 10
= 55.
Answer:
55
Step-by-step explanation:
The displacement is the area under the line
The are comprises of
Triangle OBF + rectangle BEIF + triangle CDESo the area is:
1/2*2*5 + 5*8 + 1/2*4*5 = 552) How much 64% acid solution should be mixed with 12 gallons of a 38% acid solution in order to make a 52% acid solution?
Answer: 14 gallons of the 64% acid solution is needed
============================================================
Work Shown:
x = amount, in gallons, of the 64% acid solution
0.64x = amount of pure acid from the stuff we're adding in
0.38*12 = 4.56 = amount of pure acid from 38% solution
In total, we have 0.64x+4.56 gallons of pure acid out of x+12 gallons total
Dividing the two amounts will give us the decimal form of the percentage. Set this equal to 0.52 and solve for x
-----------
(0.64x+4.56)/(x+12) = 0.52
0.64x+4.56 = 0.52(x+12)
0.64x+4.56 = 0.52x+6.24
0.64x-0.52x = 6.24-4.56
0.12x = 1.68
x = 1.68/0.12
x = 14 gallons is the amount of the 64% acid solution we need to add in
Before she went on a diet, Jenna’s waist measured 32.45 inches. After the diet, it measured 26.97 inches. How many inches did Jenna lose?
Answer:
5.48
Step-by-step explanation:
big number - little number
Answer:
5.48
Step-by-step explanation:
32.45 - 26.97
What is the answer to A and B?
Answer:43
Step-by-step explanation:
find x.
8x + 11
12x - 1
Answer:
x = 3
Step-by-step explanation:
If T is the midpoint, that means segments ST and TU are congruent.
Step 1: Set up expression
8x + 11 = 12x - 1
Step 2: Solve
11 = 4x - 1
12 = 4x
x = 3
need asap solve for x
Answer:
answer is 25
Step-by-step explanation:
x+2+153=180
x+155=180
x=180-155
x=25
hope this helps :)
If u^2-c^2=36 and u-c=6, what is u+c
Answer:
u + c = 6
Step-by-step explanation:
u² - c² ← is a difference of squares and factors as
u² - c² = (u - c)(u + c) = 36 , thus
6(u + c) = 36 ( divide both sides by 6 )
u + c = 6
Select the correct answer from each drop-down menu. The regular hexagon ABCDEF rotates 240º counterclockwise about its center to form hexagon A′B′C′D′E′F′. Point C′ of the image coincides with point of the preimage. Point D′ of the image coincides with point of the preimage.
Solution:
The point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
Explanation:
The regular hexagon have 6 corner points ABCDEF.
The complete angle about the center because it is a close figure as shown in given figure. It means the line from two consecutive vertices to the center of hexagon make an angle of because 6 lines from the vertices to the center divides the center angle in 6 equal parts.
It is given that the hexagon is rotated at counterclockwise about the center, therefore the image of vertices shifts 4 places counterclockwise.
In figure first hexagon show preimage and second hexgon shows image. From figure it is noticed that the point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
therefore, the point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
Answer:
E = First Blank
F= Second Blank
Why use f(x) instead of y?
Answer:
The notation "f(x)" is exactly the same thing as "y"
Step-by-step explanation:
The effect of using f(x) instead of y is that it allows us to talk about f.
If we have an equation relating X to Y then that's a relationship between rwo nimbers.
For example if you have that y=
[tex]y = {x}^{3} [/tex]
...then that means that X and Y are some numbers obeying that equation
(02.01)Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, what is the measure of angle M'? 40 degrees 45 degrees 50 degrees 130 degrees
Answer:
50°
Step-by-step explanation:
Transformation is the movement of one point from its initial location to a final location. If an object is transformed, all its points are transformed. Types of transformation is reflection, dilation, rotation and translation.
If an object is translated, it maintains its shape and size as well as the length of its sides and angles, only the location changes.
If polygon LMNP with ∠M of 50° is translated 5 units right and 4 units down to a new point, M' has the same angle measure. Hence ∠M' = 50°
can someone pls explain this answer i dont understand the answer on the website
Answer:
x = 23
y = 157
Step-by-step explanation:
3x = x + 46 (outside angle of triangle theorem)
x + y = 180 (same side interior angles theorem)
<=>
2x = 46
x + y = 180
<=>
x = 23
y = 157
1-1 Relations and Functions
Given:{(-2, 3), (-1, 2), (0, 2), (-2, 9)}. Is this relation a function? Explain.
A. Yes; each domain value has exactly one range value.
B. Yes; -2 is paired with two numbers.
C. No; each domain value has exactly one range value.
O
D. No; -2 is paired with two numbers.
O
Answer:
Option D
Step-by-step explanation:
A function is a relation where each domain is assigned to exactly one range value.
In the relation given, the value of '-2' is repeated and assigned with two range numbers.
Therefore, the relation is not a function because -2 is paired with two range values.
Someone help me with this please!!
Answer:
plane WRT
Step-by-step explanation: