The value π/6 is a real number and not an integer, whole or irrational number. This is because it's expressed as a fraction, disqualifying it from being either an integer or whole number, and because it's found on the number line, making it a real number.
Explanation:The given value π/6 represents a fractional value in the context of mathematics. This number is not an integer nor a whole number, because those categories only include non-fractional numbers. The value is real, which is a category that includes all numbers that can be positioned on the number line, inclusive of both rational and irrational numbers. The given number, π/6, is not an irrational number, because irrational numbers are numbers which cannot be expressed as a fraction, and our given number, π/6, is obviously expressed as a fraction.
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Subtract: (x^2 + 6x - 8) - (-3x^2 + 2x - 9)
A. 4x^2 + 4x + 1
B. -2x^2 + 4x + 1
C. 4x^2 + 4x + 17
D. 4x^2 + 8x + 17
What is the solution to the system of equations below?
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
(9, 3)
(3, 9)
(–9, –9)
(–9, 9)
Answer:
solution: (9, 3) , x = 9, y = 3
Step-by-step explanation:
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
convert to algebra.
- 4x + 6y = -18 ;
y = -2x + 21;
let us solve this with elimination
change -4x + 6y = -18 to -2x + 3y = -9
get: -2x + 3y = -9
and 2x + y = 21
add.
-2x + 2x + 3y + y = -9 + 21
4y = 12
y = 3
2x + (3 ) = 21
2x = 18
x = 9
(9, 3)
Answer:
A.(9,3)
Step-by-step explanation:
PLEASE HELP I HAVE A TIME LIMIT 17 Points and Brainlest to who answers first
In isosceles triangle ABC below, what is the value of x? Triangle A B C. Angle A is 28 degrees and angles B And C are x.
A. 28 degrees
B. 76 degrees
C. 122 degrees
D.152 degrees
Answer:
b.) 76
Step-by-step explanation:
A triangles angles will always add up to a total of 180°.Since both angles B and C are x, they have the same value. So to find their value, add the choices to 28 twice until you get 180:
[tex]28+76+76=180[/tex]
Or, you can make and equation. 180 on one side of the equation. On the other side, put both x's (2x) plus the value of angle A:
[tex]2x+28=180[/tex]
Solve for x:
[tex]2x+28-28=180-28\\2x=152\\\\\frac{2x}{2}=\frac{152}{2}\\ x=76[/tex]
Finito.
Mr. Valdez puts $10,000 in a retirement account and does not make any deposits or withdrawals. The table below shows the amount of money in the account after x years.
A 2-column table with 5 rows. The first column is labeled years with entries 0, 10, 20, 30, 40. The second column is labeled amount (dollar sign) with entries 10,000; 16,000; 27,000; 43,000; 70,000.
What values, rounded to the nearest hundredth, complete the exponential regression equation that models the data?
f(x) =
(
)x
Answer:
The answer on edge. is f(x) = 9,974.73 ( 1.05 )x
Step-by-step explanation
Your Welcome ツ
The value that complete the regression equation is f(x) = 9,974.73 ( 1.05)^x.
How to solve for the value
We have the exponential equation as
[tex]y=ab^{x}[/tex]
a is the initial rate
b is the rate
x is 0
y = 10000
When substituted the rate is given as
f(x) = 9,974.73 ( 1.05 )x
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A game room had a floor that is 100 feet by 20 feet. A scale drawing of the on the grid paper used a scale of 4units:5 feet. What are the dimensions of the scale drawing?
Answer:
80 units by 16 units
Step-by-step explanation:
4 units : 5 feet
X units : 20 feet
Y units: 100 feet
X/20 = 4/5
X = 20 × 4/5
X = 16
Y/100 = 4/5
Y = 100 × 4/5
Y = 80
A trapezoid has base lengths of 4 and 19 feet, with an area of 115 square feet.What is the height of the trapezoid? *
Your answer
Answer:
10 ft
Step-by-step explanation:
area of trapezoid = (B + b)h/2
where B and b are the lengths of the bases, and h is the height.
A = (B + b)h/2
115 = (19 + 4)h/2
230 = 23h
23h = 230
h = 10
Answer: 10 ft
The height of the trapezoid with base lengths of 4 and 19 feet and an area of 115 square feet is 10 feet.
What is a Trapezoid?A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.
[tex]\rm{ Area\ of\ trapezoid = \dfrac{1}{2} \times Height \times(Sum\ of\ parallel\ sides)[/tex]
The area of a trapezoid is given as half the product of the sum of the parallel sides and the height of the trapezoid.
The length of the parallel sides of the trapezoid is 4 and 19 feet, while the area of the trapezoid is 115 square feet. Therefore, the height of the trapezoid is,
115 ft² = 0.5 × (4 ft + 19 ft ) × height
115 ft² = 0.5 × 23 ft × height
height = (115 ft²)/ (0.5 × 23 ft)
height = 10 feet
Hence, the height of the trapezoid is 10 feet.
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What is the value of
Answer:
61°
Step-by-step explanation:
∠SPQ is a straight line, so it equals to 180°.
∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.
180° - 119° = 61°, so ∠QPR = 61°
Answer:
61 degrees
Step-by-step explanation:
Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.
Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.
(180-119)
Then we would just get the sum, which in this case, is 61 degrees.
How is the product of a complex number and a real number represented on the complex plane?
Consider the product of −2+8i and 5.
Answer:
The product of the real and complex number given is -10+40i
Step-by-step explanation:
The general form of a complex number is expressed as z = x+iy where
x is the real part and y is the imaginary part.
Given a complex and a real value as shown
z1 = −2+8i and z2 = 5+i0
Taking their product;
z1z2 = (−2+8i)(5+i0)
z1z2 = -10+0+40i+0
z1z2 = -10+40i
According to the product of the complex numbers, the resulting real part is -10 and the complex part is 40.
The representation on the complex plane is as shown in the attachment.
The complex number −2+8i has modulus of (1. 2√17)
When −2+8i is multiplied by 5, the modulus of the product is (2. 10√17)
Multiplying a complex number by a real number results in a scalar of the complex number. The quadrant location of the complex number and its product with (3. a positive real number) are the same.
Find the midpoint of the line segment with endpoints (6,1) and (4,-5)
Answer:
(5, -2)
Step-by-step explanation:
(6+4)/2 , (1-5)/×
10/2 , -4/2
5 , -2
What is 8/15÷2/5?What so u think is the best answer for this problem??
Answer:
1 1/3
Step-by-step explanation:
Solve. Change the division sign into a multiplication, and flip the second fraction:
(8/15)/(2/5) = (8/15) x (5/2)
Multiply across:
(8 x 5)/(15 x 2) = (40)/(30)
Simplify. Divide common factors:
(40/30)/(10/10) = 4/3
4/3 or 1 1/3 is your answer.
~
Answer:
1⅓
Step-by-step explanation:
8/15 ÷ 2/5
8/15 × 5/2
(8×5)/(15×2)
4/3
1⅓
add (9+5)+(3+2)
this needs to be simplified
Answer:
19
Step-by-step explanation:
[tex](9 + 5) + (3 + 2) \\ = (14) + (5) \\ = 19[/tex]
The volume of a cube is 2727 cubic units. What is the length of one side of the cube?
3m2 units
379 units
27m2 units
27nº units
Answer:
Step-by-step explanation:
27m2 units
The date of death for a widow was 2019. If the estate was valued at $2,186,000 and the estate was taxed at 40 percent, what was the heir's tax liability? Use Exhibit 19-6 for Estate Exemption.
Answer:
Value of tax liability will be zero
Step-by-step explanation:
Given:
Total estate value = $2,186,000
Estate tax = 40 %
Find:
Heir's tax liability = ?
Computation:
Total taxable estate = Total estate value - Estate Exemption
Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption is 11.4 million.
We know that Estate Exemption is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.
Each morning Papa notes the birds feeding on his birdfeeder. So far
this month he has seen 59 blue jays, 68 black crows, 12 red robins
and 1 cardinal.
Answer:
126 plz mark me brainliest.
Step-by-step explanation:
Answer:126
Step-by-step explanation:
A plumber charges $30 for a service call and an additional $25 per hour. Write an equation in slope-intercept form to represent the cost of service, C, for h hours of service. Then find the cost if the plumber worked 7 hours on a project.
Answer:
The equation is c=25h+30 and the answer is 205
Step-by-step explanation:
Plug in 7 for h.
Please find the diameter for the cone. Round your answer to the nearest tenth. :)
Answer:
r = 0.9 in.
Step-by-step explanation:
the volume equation of a cone is πr^2h/3 in this case you have the volume and the height measurements but youre missing the radius, so you have to divide the volume by the rest of the equation and backtrack and when you do, you get a radius value of 0.9
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The floor of a rectangular living room is 18 feet by 24 feet. What is the distance between opposite corners of the living room?
Answer:
The distance between opposite corners of the living room is 30ft
Step-by-step explanation:
This can be thought of as a right triangle and we want to know its hypotenuse
To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras
h = hypotenuse
a = leg 1 = 18ft
b = leg 2 = 24ft
h² = a² + b²
we replace the known values
h² = (18ft)² + (24ft)²
h² = 324ft² + 576ft²
h² = 900ft²
h = √(900ft²)
h = 30ft
The hypotenuse is 30ft
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per
year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to
the nearest penny.)
- 10/1 151
Answer:
[tex]y=18(1.15)^x[/tex]
Step-by-step explanation:
The initial value of the poster =$18
Its value increases by 15% each year.
We can model this using the exponential growth function.
[tex]y(x)=y_0\cdot r^x $ where y_0$ is the initial value and r is the growth factor.[/tex]
Growth Factor, r=1+0.15=1.15
Therefore:
[tex]y(x)=18(1.15)^x[/tex]
After 1 year, when x=1
[tex]y(1)=18(1.15)^1=\$20.70[/tex]
This is true.
Therefore, the model is valid and its value, y after x years will be:
[tex]y=18(1.15)^x[/tex]
Answer:
it is A
Step-by-step explanation:
JUST GOT 100% 0N MY QUIZ
How many different pairings (2 teams playing each other) are possible for the first round of the 64 teams in the NCAA Basketball Tournament?
(without seeding)
Select the best answer from the choices provided.
A. 2016
B. 32
C. 4096
D. 128
Answer:
A
Step-by-step explanation:
To calculate this, we shall be selecting 2 each from a total of 64
This is a combination question and our required answer is 64C2
Mathematically, if we are to select r from n items , the combination can be computed as follows;
nCr = n!/(n-r)!r!
Thus, we have 64C2 as ; 64!(64-2)!2! = 64!/62!2!
= (64 * 63 * 62!)/62!2! = (64 * 63)/2 = 32 * 63 = 2,016 pairings
please help ASAP for 15 points
Identify the equation that describes the line in slope-intercept form.
slope =−3, point (1,4) is on the line
y = −3x + 1
y = −3x + 7
y = −3x + 4
y = −3x − 7
Answer:
b
Step-by-step explanation:
y= -3x+7
Answer:
The answer is option 2.
Step-by-step explanation:
It is given that the slope of the line is -3 so you just have to substitute it into the slope-form equation, y = mx+b where m is gradient and b is y-intecept. In order to find b value, you have to put in the coordinates :
[tex]y = mx + b[/tex]
Let m = -3,
[tex]y = - 3x + b[/tex]
At (1,4),
[tex]4 = - 3(1) + b[/tex]
[tex]4 = - 3 + b[/tex]
[tex]b = 4 + 3[/tex]
[tex]b = 7[/tex]
[tex]y = - 3x + 7[/tex]
Fidelity Investments is selling a real estate income mutual fund for $10.94 per share. The fund charges a load of 2.5%. What is the offer price?
Answer:
Step-by-step explanation:
The fidelity investment mutual funds is $10.92 per share.
The fund charges 2.5%.
So, if 2.5% is charged,
Then, 2.5% of the share is
2.5% of $10.92 = 2.5 / 100 × $10.92
2.5% of $10.92 = $0.273
Then, total offer price is 0.273 + 10.92
Therefore, total offer is $11.193
Final answer:
The offer price of the real estate income mutual fund from Fidelity Investments is $11.2135 per share.
Explanation:
The offer price of the real estate income mutual fund from Fidelity Investments can be calculated by adding the load to the selling price per share. In this case, the load is 2.5% of $10.94 per share. To find the load amount, multiply 2.5% by $10.94, which is equal to $0.2735. Then, add the load amount to the selling price per share: $10.94 + $0.2735 = $11.2135.
What is the length of segment GH?
On a coordinate plane, line G H has points (0, negative 3), (8, 1).
Answer:
4 sqrt(5)
8.94427191
Step-by-step explanation:
We want to find the length ( or distance) between the two points
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (8-0)^2 + (1 - -3)^2)
= sqrt( (8)^2 + (4^2)
= sqrt( 64+16)
sqrt( 80)
sqrt(16) sqrt(5)
4 sqrt(5)
8.94427191
Answer:
4sqrt(5)
Step-by-step explanation:
Length² = (-3-1)² + (0-8)²
Length² = 16 + 64
Length² = 80
Length = 4sqrt(5)
sqrt: square root
What is the concentration of 20 mL of LiOH if it is neutralized by 60 mL of 4 M HCl?
Answer:
The concentration is 12M
Step-by-step explanation:
In this question, we are asked to calculate the concentration of the alkali given the information in the question.
To answer this question correctly, the first thing to do is to write the complete chemical equation of the reaction of the acid and the alkali. We identify that LiOH is the alkali and HCl is the acid
LiOH + HCl ———-> LiCl + H2O
we can deduce that 1 mole of the acid used up a mole of the base.
Now, we use the titration formula;
CaVa/Na. = CbVb/Nb
since Na= Nb = 1 i.e number of moles , we can just write the formula to be
CaVa. = CbVb
Where Ca is the concentration of the acid which is 4M
Va is the volume of acid used which is 60mL
Cb is the concentration of the base which is ?
Vb is volume of base which is 20mL
Plugging these values, we have;
4 * 60 = Cb * 20
Cb = 240/20
Cb = 12M
The concentration of the base is thus 12M
The rate of change of a linear model depends on its initial conditions.
True
False
Answer:
false
Step-by-step explanation:
ye you welcome
You randomly choose one of the tiles, Without replacing the first tile, you choose a second tile. Find the probability of the compound event. NUMBERS 1, 2,3,4,5,6,7 Choosing tiles whose sum is 12
Answer:
The probability of choosing tiles which sum is 12 is 1/21
Step-by-step explanation:
The numbers we have is 1.2,3,4,5,6 and 7
The sum we are looking at is 12. The only sum that can give us this sum is the addition of 7 and 5
There are only two ways we can make this selection if order matters.
Either we pick 5 first then 7 second or 7 first and 5 second
The probability of picking a 5 first will be 1/7, since it is without replacement , the probability of picking a 7 next will be 1/6
The joint probability here would thus be 1/7 * 1/6 = 1/42
In the other second case where we are picking a 7 first and a 5 second, the probability here will be the same as first just that we reversed the other. Hence, the probability here is also 1/42
Now, the probability of either of the two orders happening will be 1/42 + 1/42 = 2/42 = 1/21
Final answer:
The probability of choosing tiles whose sum is 12 is 1/49.
Explanation:
Probability of choosing tiles whose sum is 12:
Number of favorable outcomes: 1 (getting two tiles that sum up to 12, which is 6+6)Total number of possible outcomes: 7*7 = 49 (as there are 7 choices for each tile)Probability = Number of favorable outcomes / Total number of possible outcomes = 1/49
Ayúdenme ;----;:
El director de una institución educativa organizó un proyecto de presentación teatral.
El costo de las entradas fue de 30 soles para los adultos y 20 soles para los niños. Si el sábado pasado
asistieron 248 personas y se reunieron 5930 soles, ¿cuántos adultos y cuántos niños respectivamente asis-
tieron a esa función?
Answer:
97 adults and 151 children assisted to that show.Step-by-step explanation:
We are gonna use "dollars" instead of "soles.
According to the problem, tickets cost $30 for adults and $20 for children.
Last Saturday assisted 248 people which gave a total of $5930.
To know the number of adults and children were there, we need to defined a system of equations.
[tex]x+y=248\\30x+20y=5930[/tex]
Where [tex]x[/tex] represents adults and [tex]y[/tex] represents children.
First, we multiply the first equation by -20
[tex]-20x-20y=-4960[/tex]
Then, we sum this equation with the second one
[tex]10x=970\\x=97[/tex]
There were 97 adults.
Now, we use this value to find the other one
[tex]x+y=248\\97+y=248\\y=248-97\\y=151[/tex]
There were 151 children.
Therefore, 97 adults and 151 children assisted to that show.
What is the y-intercept of the graph that is shown below?
-5 -4 -342-11 1 2 3 4 5 X
(-2,0)
0 (-1,2)
(0,4)
(4,0)
Answer:
(0,4)
Step-by-step explanation:
The y intercept is where the x value is zero
x=0 and y =4
The y intercept is (0,4)
What is the approximate circumference of the circle shown below?
Answer:
A. 56.52 cm
Step-by-step explanation:
Formula:
Circumfrence= 2πr
r(radius) = 9 cm
C = 2πr
C = 2 x 3.14 x 9 cm
C = 6.28 x 9 cm
C = 56.52 cm
Circumfrence is 56.52 cm
The circumference of the circle is 56.52cm (A)
Calculating The Circumference Of A Circle.To calculate the circumference of a circle, the formula is Circumference (C) = 2πr.
Where;
radius (r) = 9cm
π = 3.14
Substitute the values into the formula.
C = 2 x 3.14 x 9
C = 56.52 cm
Therefore, the circumference of the circle is 56.52cm (A)
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Use the information to determine the exact trigonometric value sin theta =-1/5, pi
Answer: -2 (sqrt:6)/5
Step-by-step explanation:
Answer:
The answer is -(2 sqroot 6)/(5)
Step-by-step explanation:
Are there whole numbers that are not integers
Answer:
No
Step-by-step explanation:
All whole numbers, positive, negative, and 0 are integers.