Answer:
x = 14 inches
Step-by-step explanation:
The area of a square piece of paper is 200 square inches.
We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper. It is shown in the attached figure.
Area of a square = x², x is the side length
[tex]x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}[/tex]
or
x = 14 inches
So, the side length of the square is 14 inches. It is shown in point A.
In a circle with radius 0.2,
an angle intercepts an arc
of length 0.1. Find the
angle in radians to the
nearest 10th
Answer: 0.5
Step-by-step explanation:
The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above ground?
Answer:
1,050 feet
Step-by-step explanation:
All you have to do is take the total height 1,454 and subtract the distance from the top to the 86th floor. 1,454-404 which gives you 1,050.
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9 + 6)
9(1 + 54)
9(1) + 9(54)
Answer:
A-9(1=6)
Step-by-step explanation:
Correct on edg
I NEED HELP . I'm having trouble trying to figure out how to answer this can anyone help please?
Answer:
what is it?
Step-by-step explanation:
Brantley tosses a ball out of a window that is 75 feet in the air. Its initial velocity is 12 feet per second. The path of the ball is represented by h=-16t^2+12t+75. How long does it take for the ball to hit the ground to the nearest hundredth?
Answer:
[tex]t = 2.57[/tex]
Step-by-step explanation:
Given
[tex]h=-16t^2+12t+75[/tex]
Required
Determine the time to hit the ground
The ground is at point 0.
So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t
[tex]0=-16t^2+12t+75[/tex]
Multiply through by -1
[tex]0=16t^2-12t-75[/tex]
Reorder
[tex]16t^2-12t-75 = 0[/tex]
Solve using quadratic formula:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16; b = -12; c = -75[/tex]
[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]
[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]
[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]
[tex]t = \frac{12\±70.31}{32}[/tex]
Split:
[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]
[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]
But time (t) can't be negative;
So, we make use of only
[tex]t = \frac{82.31}{32}[/tex]
[tex]t = 2.57[/tex]
Hence, the time to hit the ground is 2.57 seconds
What are three inequalities equal to 15x+20y=150?
Answer:
1. 3x+4y=30
2. 30x+40y=300
3. x+4/3y=10
Step-by-step explanation:
x= 7
what does the following expression equal:
3+6x-12x+14
Answer:
-25
Given:
x=7
Step-by-step explanation:
3+6x-12x+14
⇒ 3 + 6(7) - 12(7) + 14
⇒ 3 + 42 - 84 + 14
⇒ 45 - 84 + 14
⇒ -39 + 14
⇒ -25
hope you understood!
Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.
Divisor:
A. –3
B. 3
C. x – 3
D. x + 3
Dividend:
A. 2x3 + 11x2 + 18x + 9
B. -6x3 - 15x - 9
C. 2x2 + 5x + 3
Quotient:
A. 2x4 + 11x3 + 18x + 9
B. 2x3 + 5x2 + 3x
C. 2x2 + 5x + 3
Answer:
Divisor:D
Divedend: A
Quotient:C
Step-by-step explanation:
The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)
What is synthetic division?Synthetic division is a method for manually performing Euclidean division of polynomials.
Given that polynomial divisor, dividend and quotient ;
The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively
Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)
For more references on Synthetic division, click;
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what does x= but it has to equal 10
Answer:
No solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-2(4 - 3x) - 6x = 10
Step 2: Solve for x
Distribute -2: -8 + 6x - 6x = 10Combine like terms: -8 ≠ 10Here we see that -8 does not equal 10.
∴ This equation has no solutions.
I need help!
Comepare each pair of fractions using Greater than sign , less than sign and equal to.
Answer:
<< >> >=>= =>=< >><< ><<< >>==
Step-by-step explanation:
Answer:
>,>,>,>
>,>,>,<
<,>,<,>
>,<,<,<
=,=,=,<
The property taxes on a house were $2610. What was the tax rate if the house was valued at $290,000? Follow the problem-solving process and round your answer to the nearest hundredth of a percent, if necessary.
Hi
2 610 / 290 000 *100 = 0.9 %
Less than 1%
The tax rate if the house was valued at $290,000 was Less than 1%.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that property taxes on a house were $2610.
We need to find the tax rate if the house was valued at $290,000.
Therefore,
2610 / 290 000 x 100 = 0.9 %
Hence, the tax rate if the house was valued at $290,000 was Less than 1%.
Learn more about multiplications;
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Jae is constructing an open box from a piece of cardboard that is 9 in. Wide and 12 in. Long. Jae cuts squares of equal size from each corner of the cardboard, and then folds up the sides of the box. Write and simplify a polynomial function V for the volume of the box in terms of x.
Answer:
The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].
Step-by-step explanation:
Geometrically speaking, the volume of the open box ([tex]V[/tex]), measured in cubic inches, is described by the volume of a right parellelepiped. That is:
[tex]V = w\cdot l \cdot h[/tex] (1)
Where [tex]w[/tex], [tex]l[/tex] and [tex]h[/tex] are the width, length and height of the open box, respectively, measured in inches. Please notice that width of the open box is the width of the piece of cardboard ([tex]w'[/tex]), measured in inches, minus two times the side of the cut squares ([tex]x[/tex]), measured in inches, length of the open box is the length of the piece of cardboard ([tex]l'[/tex]), measured in inches, minus two times the side of the cut squares and the height of the open box is the side of the cut squares. That is:
[tex]w = w' -2\cdot x[/tex] (2)
[tex]l = l' - 2\cdot x[/tex] (3)
[tex]h = x[/tex] (4)
By applying (2), (3), (4) in (1), we expand and simplify the volume function:
[tex]V = (w'-2\cdot x)\cdot (l'-2\cdot x)\cdot x[/tex] (5)
If we know that [tex]w' = 9\,in[/tex] and [tex]l' = 12\,in[/tex], then the equation above is:
[tex]V = (9-2\cdot x)\cdot (12-2\cdot x)\cdot x\,\,\,[in^{3}][/tex]
[tex]V = (108-24\cdot x-18\cdot x+4\cdot x^{2})\cdot x\,\,\,[in^{3}][/tex]
[tex]V = (108-42\cdot x +4\cdot x^{2})\cdot x \,\,\,[in^{3}][/tex]
[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex]
The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].
What is the quotient? -3/8 divided by -1/4
Solve each proportion.
5/2=6/x
Wat is x
Answer:
12/5
Step-by-step explanation:
5/2 = 6/x
in order to solve for x, you can do cross multiplication hence,
5x = 6(2)
x = 12/5
Answer:
12/5
Step-by-step explanation:
5/2=6/x
5x=12
X=12/5.
So the answer is 12/5
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a number less than 4?
Write your answer as a fraction or whole number.
Submit
Answer:
landing on a 4 would be 1/3 chance
and
landing on a number less than 4 would be 2/3 chance
Step-by-step explanation:
The probability of landing on a 4 is 1/3 and then landing on a number less than 4 is 2/3.
What is probability?Probability is the chance of happening an event or incident.
The probability of landing on a 4 is 1/3.
Then, the probability on landing on a number less than 4 = 2/3.
Learn more about probability here: https://brainly.com/question/11234923
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Last one plsssssssssss help
What are the factors of 7x2 + 25x – 12?
Answer:
Simplify the expression.
25
x
+
2
Step-by-step explanation:
Answer:
(7x-3)(x+4)
Step-by-step explanation:
hope this helps:)
A Game Center has a $5 admission fee and charges $0.50 for each game played. Write an equation that represents the cost, C, in dollars, of playing n games at this Game Center. Explain your reasoning.
Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?
Answer:
27 + 6x = 8.25x
Number of movies (x) = 12
Step-by-step explanation:
Given that:
VIP membership :
Membership fee = $27 per year
Amount per movie = $6
Hence ;
Membership fee + (amount per movie * number of movies)
27 + 6x - - - (1)
Non member :
Amount paid per movie = $8.25
amount per movie * number of movies)
8.25x - - (2)
Let Numbe of movies = x
In other to pay the same amount of money :
Equate (1) and (2)
Equation :
27 + 6x = 8.25x
8.25x - 6x = 27
2.25x = 27
X = 12 movies
Please help its7to10 it’s easy but I’m lazy
Answer:
sure
Step-by-step explanation:
Can someone please help me it’s due in a few minutes.
Answer:
150
Step-by-step explanation:
go submit it
what is 2² of 36
you can use google or a calculator
it's tooo easy
answer -1296
can someone help me with thiis?
Do imaginary numbers follow the rules of algebra?
Answer:
no
Step-by-step explanation:
De acuerdo con una encuesta se determino que en una region hay igual numero de personas lic en administracion comercio servicio de salud y servicio municipal ademas se encontro que 35% de los administrativos 25% de los comerciantes 20% de los servidores de salud y 15% de servicio municipal son mujeres cual es la probabilidad de que una mujer escogida al azar del grupo sea administradora
Answer:
La probabilidad de que una mujer sea administradora es de 0,35
Step-by-step explanation:
Sean A B, C y D los eventos de las mujeres administrativas, comerciantes, trabajadoras de salud y proveedoras de servicios municipales.
Sus probabilidades están dadas por
P (a) = 35% = 0,35
P (b) = 25% = 0,25
P (c) = 20% = 0,2
P (d) = 15% = 0,15
Como los eventos son independientes, la probabilidad conjunta sería
P (B∩C∩D) = P (D) * P (B) * P (C) = 0.25 * 0.2 * 0.15 = 0.0075
P (A / B∩C∩D) = P (A∩B∩C∩D) / P (B∩C∩D)
= 0,35 * 0,0075 / 0,0075 = 0,35
Por lo tanto, la probabilidad condicional de obtener la mujer administradora es la misma que la probabilidad individual de obtener la administradora, ya que los eventos son independientes.
La probabilidad de que una mujer sea administradora es de 0,35
English
Let A B, C and D be the events of the women administrative, merchants, health workers and municipal services providers.
Their probabilities are given by
P (a) = 35% = 0.35
P (b)= 25% = 0.25
P (c) =20% = 0.2
P (d) = 15 % = 0.15
As the events are independent then the joint probability would be
P (B∩C∩D)= P(D) * P(B)* P (C) = 0.25* 0.2*0.15= 0.0075
P(A/B∩C∩D) = P(A∩B∩C∩D)/P(B∩C∩D)
= 0.35*0.0075/ 0.0075= 0.35
Therefore the conditional probability of getting the administrator woman is the same as the individual probability of getting the woman administrator as the events are independent.
Probability of woman administrator is 0.35
Aaron is bicycling on a bike trail at an average of 10 miles per hour. Jada starts cycling on the same trail 30 minutes later. If Jada averages 16 miles per hour, how long would it take her to pass Aaron?
Answer:
36 miles per hour
Step-by-step explanation:
36 miles per hour
Help megagaagsgsh fdndjfjdd
Step-by-step explanation:
a) The graph shows how many adults and youths attended the movies on Friday, Saturday and Sunday.
b) On Friday, more adults attended the movies then youths. On Saturday and Sunday, more youths attended the movies then Adults.
c) 1) Saturday is the most popular day to go to the movies because there was 500 adults and 650 youths for a total of 1150 people. Friday had 950 people and Sunday had 800 people.
Last one , will mark brainliest !!!!
Answer:
Step-by-step explanation:
Part 1:y=426x+4298
y=223x+6129
Part 2: x=9.020 (x is the number of months and y is the miles)
Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile
Answer:
See answers in explanation below
Step-by-step explanation:
1. 4298 + 426t = 6129 + 223t
2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129
and find the answer at where these two lines intersect with each other, x=9.0197 (months)
3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)
PLLLLSSS HELLPP
Use the substitution method to solve the system of equations.
8x + 5y = 9
y = x + 7
Answer:
point form: (-2,5)
Step-by-step explanation:
8x + 5y = 9
y = x + 7
sub. y into the first one
8x + 5(x + 7) = 9
8x + 5x + 35 = 9
13x + 35 = 9
solve for x
13x = -26
x = -2
solve for y
y = x + 7
y = -2 + 7
y = 5
Answer: I believe the answer would be (-2, 5) Hope this helped!
jamie and rhyns share some money in the ratio of 2:3.jamie gets 40 pounds. how much does rhys get.
Answer:
60 pounds
Step-by-step explanation:
The ratio of Jamie to Rhys is 2 to 3.
Jamie gets 40 pounds.
40 pounds is 20 times 2, so Rhys also has to get 20 times the amount in the ratio.
20 * 3 = 60
Answer: 60 pounds