There can be infinitely many pair of integers that have the sum -12.
Example:
1. (-24), (12)
2. (-10), (-2)
3. (-12), (0)
Answer:
Multiple pairs.
Step-by-step explanation:
There are a lot of solutions to this problem. For example:
(-24)+12
(-36)+24
(-48)+36
and so forth.
determine whether each number is rational or irrational
Answer:
1. irrational (it's pi. pi goes on forever.)
2. irrational (the ... shows that the number goes on forever.)
3. rational (it is a regular integer)
4. rational (it would be negative 3, an integer.)
5. real, irrational (square root 6 goes on forever, like every non-perfect square root)
6. real, rational, integer, natural, whole (regular counting number)
7. real, rational, integer, natural, whole (regular counting number, 4)
8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)
brainliest is very much appreciated!
ASAP!! can i get some help on this question, and a step by step explanation please, it would help
a lot thanks.
Answer:
[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]
What is the value of x in the equation 3x - y = 18, when y = 27?
Answer:
Substitute in the y-value to the equation:
[tex]3x-y=18\\\\3x-27=18\\\\3x=18+27\\\\3x=45\\\\x=15[/tex]
Therefore, the value of x is 15.
Answer:
x=15
Step-by-step explanation:
3x - y = 18
Let y= 27
3x - 27 = 18
Add 27 to each side
3x-27+27 = 18+27
3x= 45
Divide each side by 3
3x/3 = 45/3
x = 15
please help me is for my homework
Answer:
13/50
Step-by-step explanation:
Answer:
26/100
Method:
Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)
I don't understand this one
Answer:
9/8 = n
Step-by-step explanation:
9 = 8n
Divide each side by 8
9/8 = 8n/8
9/8 = n
which of the following is equal to square root ^3 square root 2
Answer:
[tex]2^{\frac{1}{6} }[/tex]
Step-by-step explanation:
(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6
AN
X =
= [?]
30°
X
B
C
angles are not drawn to scale
Answer:
x=60°
Does the answer help you?
Answer:
x=60°
Step-by-step explanation:
Hi there!
We are given that <ABD and <DBC are complementary angles.
If two angles are complementary, it means that they add up to 90 degrees.
In that case, <ABD + <DBC=90°.
We're also given that m<ABD=30° and m<DBC=x.
Substituting those values into the equation will give us:
30°+x=90°.
Subtract 30° from both sides.
x=60°.
Hope this helps!
Select the correct answer.
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3
Answer:
C
Step-by-step explanation:
Given
10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides
30x + 20 > 14x - 28 ( subtract 14x from both sides )
16x + 20 > - 28 ( subtract 20 from both sides )
16x > - 48 ( divide both sides by 16 )
x > - 3 → C
Rewrite the expression using positive exponents
1. 1/9x^-2y^-1
2. a^-5*a^-8
Answer:
Property : a^-b = 1/a^b
Using this property, we can rewrite the expression using positive exponents :
[tex]1. \frac{1}{9}*x^{-2} *y^{-1} =\frac{1}{9}\frac{1}{x^{2} } \frac{1}{y} =\frac{1}{9x^{2} y} \\2. a^{-5} a^{-8} =\frac{1}{a^{5}a^{8} } =\frac{1}{a^{13} }[/tex]
The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). What is the valid UPC? *)
A) 3-25866-53590-5
B) 3-25866-53590-0
C) 1-25866-53590-0
D) 5-35900-32586-6
The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.
It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.
the last digit is used to check the integrity of the UPC and is known as a check digit.A specific algorithm based on the odd and even number of the previous 11 digits determines the last number, which is used to confirm the validity or integrity of the UPC.A UPC can be validated with a manual calculation:
Given :
UPC = 3-25866-53590-5/0
=> Step 1: Add the digits at odd positions.
3 + 5 + 6 +5 + 5 + 0 = 24
=> Step 2: Multiply the number obtained in steps 1 by 3.
24*3 = 72
=> Step 3: The digits at even positions have to be added except check digit
2 + 8 + 6 +3 +9 = 28
=> Step 4: Add the numbers obtained in Step 2 and step 3.
72+ 28 = 100
=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.
Here 100 will be subtracted from 110.
110 - 100 = 10
the last digit will be 0,
Thus, the correct option is B. 3-25866-53590-0.
Learn more about:
https://brainly.com/question/12538564
Thirty- five out of sixty students preferred to eat their lunch at school rather going home in lunch break. Express the numbers in decimal.
Answer:
0.583
Step-by-step explanation:
Use a caluclator
I also need to show calculations for each side length plz help
Answer:
WO [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]
OR [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]
RM [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]
MW [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]
Step-by-step explanation:
One has to find the slope, and the distance between the successive points on the plane. Use the slope and distance formula to achieve this.
Slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Distance formula:
[tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Remember, the general format for the coordinates of a point on a Cartesian coordinate plane is the following:
[tex](x,y)[/tex]
1. WO
Coordinates of point (W): (3, -5)
Coordinates of point (O): (6, -3)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{(-5)-(-3)}{(3)-(6)}=\frac{-5+3}{3-6}=\frac{-2}{-3}=\frac{2}{3}[/tex]
Find the distance:
[tex]\sqrt{((-5)-(-3))^2+((3)-(6))^2}[/tex]
[tex]\sqrt{(-2)^2+(-3)^2}\\=\sqrt{4+9}\\=\sqrt{13}\\[/tex]
2. OR
Coordinates of point (O): (6, -3)
Coordinates of point (R): (4, 0)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-3)}{(4)-(6)}=\frac{3}{-2}=-\frac{3}{2}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{((0)-(-3))^2+((4)-(6))^2}=\sqrt{(3)^2+(2)^2}=\sqrt{9+4}=\sqrt{13}[/tex]
3. RM
Coordinates of point (R): (4, 0)
Coordinates of point (M): (1, -2)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-2)}{(4)-(1)}=\frac{2}{3}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{((-2)-(0))^2+((1)-(4))^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
4. MW
Coordinates of point (M): (1, -2)
Coordinates of point (W): (3, -5)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{(-5)-(-2)}{(3)-(1)}=\frac{-3}{2}=-\frac{3}{2}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]=\sqrt{((3)-(1))^2+((-5)-(-2))^2}=\sqrt{(2)^2+(3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
20
19) Mindy and Cindy bought 64 grapes.
Cindy ate 3/8 of the grapes and Mindy ate
the rest. How many grapes did Mindy eat?
Answer:
40 grapesEasy explanation:
64 ÷ 8= 8• 1/8 of 64 grapes is 8.8 × 3= 24• 3/8 of 64 grapes is 24. Now we know that Cindy ate 24 grapes. With that, we can solve how many grapes Mindy ate. By subtracting 24 from 64.64 - 24= 40• Mindy ate 40 grapes.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
13. What is x in the diagram?
Answer:
x = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse) , so
x² = 9 × (9 + 3) = 9 × 12 = 108 ( take square root of both sides )
x = [tex]\sqrt{108}[/tex] = [tex]\sqrt{36(3)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{3}[/tex] = 6[tex]\sqrt{3}[/tex]
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔTUV
~ ____
2x - y - 4 = 0
3x + y - 9 = 0
What is the solution set of the given system?
A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}
Step-by-step explanation:
+ Both equations
You will get : 5x=13 ; x=13/5
and put x to the first equation
2*13/5-y=4
y=6/5
(13/5;6/5)
Answer is C
At an amusement park, the straight water slide is 42 m long and drops 20 m. What angle does the slide make with the horizontal?
Answer:
28.4 degrees
Step-by-step explanation:
sin(theta) = 20/42. theta=arcsin(10/21)=28.43
Which is an exponential decay function
Answer:
Letter A is your answer
Step-by-step explanation:
mark me brainliest
okay can someone pls help me i literally am so confused
using trig to solve for missing angle
Answer:
30.7
Step-by-step explanation:
Recall: SOH CAH TOA
We are to solve for the missing side
First, label the sides:
Reference angle (θ) = 61°
x = Opposite (this is opposite to the reference angle)
17 = Adjacent
Hypotenuse = side opposite to right angle
Apply TOA, which is:
Tan θ = Opp/Adj
Plug in the values
Tan 61° = x/17
17*Tan 61° = x
30.6688118 = x
x ≈ 30.7 (approximated to nearest tenth)
Find the midpoint of AC.
Answer:
(0+a)/2 , (0+a)/2
= (a/2, a/2)
Answered by GAUTHMATH
The translation of ABCD to A'B'C'D'
is given by (x+[?],y-[ ).
5
B
С
4
3
2
A А
D
C
1
B В
23 -2 -1 0
-1
-7 -6
-5
-4
1
2
3
4
2
A'
D'
Enter
Answer:
(x+2,y-4)
Step-by-step explanation:
The correct answer is (x+2, y-4)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point either up, left, right or down.
ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
Find out more on transformation at: https://brainly.com/question/1548871
a boy rode his bike at an average speed of 11 kilometers per hour . how much far did he ride in four hours
Step-by-step explanation:
The answer is mentioned above.
Hope it helps.
What is the rectangular equivalence to the parametric equations?
x(θ)=2sinθ+1,y(θ)=3cosθ−2 , where 0≤θ<2π .
Drag a term into each box to correctly complete the rectangular equation.
Notice that
(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9
… = sin²(θ) + cos²(θ)
… = 1
Solve for y in terms of x :
(x - 1)²/4 + (y + 2)²/9 = 1
(y + 2)²/9 = 1 - (x - 1)²/4
(y + 2)² = 9 - 9/4 (x - 1)²
y + 2 = ± √(9 - 9/4 (x - 1)²)
y + 2 = ± 3/2 √(4 - (x - 1)²)
y = -2 ± 3/2 √(4 - (x - 1)²)
In order for the square root to be defined, one needs
4 - (x - 1)² ≥ 0
(x - 1)² ≤ 4
-2 ≤ x - 1 ≤ 2
-1 ≤ x ≤ 3
so x must belong to the interval [-1, 3].
l=3cm, w=1cm, h=3cm what is the surface area of the rectangular prism
Answer: 30 cm2
Step-by-step explanation:
branliest please
Answer:
30 cm^2
Step-by-step explanation:
The surface area of a rectangular prism is given by the formula:
2 (lw + hw + hl)
Substitute the fomrula with the given dimensions:
2 ([3 x 1] + [3 x 1] + [3 x 3])
= 2 (3 + 3 + 9)
= 2 (15)
= 30
Hope this helps!
A= 8x³ - 36x² + 54x - 27
A = ( ? x -?)³
Answer:
[tex](2x-3)^{3}[/tex]
Step-by-step explanation:
2x * 2x * 2x would get the 8x^3
the -3 * -3 * -3 would get the -27
if you do all the other multiplications -36x^2 and 54 X would result
What is the simplified form of V 100x35 ?
Answer:
answer is 3500.
answer is 3500
answer is 3500
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenth
place.
HELP PLEASE!!!!!!
Answer:
Ans ; 1) 7.8 , 2) 3.3×10³ , 3) 2.1 ×10‐³ , 4) 3.7
I hope I helped you^_^
Simplify this please
Answer:
4Step-by-step explanation:
[tex] \sqrt[3]{64} [/tex]
[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]
= 4 (Ans)
Answer:
Step-by-step explanation:
Suppose that 65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 38% end up investing in bonds, and 36% end up investing in both stocks and bonds. What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
Answer:
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
Step-by-step explanation:
This question is solved treating these probabilities as Venn events.
I am going to say that:
Event A: Person invests in stocks.
Event B: Person invests in bonds.
65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks
This means that [tex]P(A) = 0.65[/tex]
38% end up investing in bonds
This means that [tex]P(B) = 0.38[/tex]
36% end up investing in both stocks and bonds.
This means that [tex]P(A \cap B) = 0.36[/tex]
What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
This is [tex]P(A \cup B)[/tex], given by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Considering the values we have for this problem:
[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
