Answer:
base = 12; height = 3
Step-by-step explanation:
Area: ( b x h ) / 2
base: 2x
height: (x - 3)
---------------------------------
( ( 2x )*( x - 3 ) )/ 2 = 18
( 2x ^2 - 6x ) = 36
2x ^2 - 6x - 36 = 0
(quadratic formula)
x = 6
x = -3
---------------------------------
taking the positive value : x = 6
---------------------------------
base: 2x = 2(6) = 12
height: x - 3 = 6 - 3 = 3
Hi, I need help on this, please help me out.
Need some help on this question please provide evidence on how you came up with the answer aswell.
Answer:
No and No
Step-by-step explanation:
Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.
Answer:
Step-by-step explanation:
If we are dealing with whole real numbers.
Both answers are based on the same idea.
The product of two numbers is even only if at least one of the two multiplicands is even.
The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.
This comes from number theory where multiplication is the repeated addition of one number a certain number of times.
If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.
If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each for birthday cards, what is the range of money he can spend on each gift? Write and solve an inequality.
The inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each on birthday cards.
Let's suppose the number of birthday cards is x and the cost of each gift is y.
Then the total cost for birthday cards = 2.50x
Total budget = $50
Total expense = 2.50x + 2y
2.50x + 2y ≤ 50
The above inequality represents the situation.
In the graph, the range of the solutions is shown.
Thus, the inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
Learn more about the inequality here:
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The average vertical jump for a player on the high school basketball team is 30 inches. The actual height varies by
at most 2 inches. Write and inequality that gives the range of the actual height h (in inches) of the players' verticals.
Answer: 28 <= h <= 32
Step-by-step explanation:
the actual height can be at most 2inches higher or lower than the average
Find the value of x.........
Answer:
Would x not be 70 degrees as it corresponds to the 70 on the bottom line?
Step-by-step explanation:
El diseño de un sistema requiere instalación de 2 componentes iguales. El sistema completo funcionará si al menos 1 de los componentes funcionan,mientras que un sistema alternativo requiere cuatro de sus componentes funcionará si al menos 2 de sus componentes están funcionando.
La probabilidad de que un componente funcione de manera individual es de 0.9 y cada uno funciona de manera independiente. ¿cuál de los 2 diseños tienen mayor probabilidad de funcionar?
Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.
Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.
Distribuición binomial:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
n es el número de ensayos. p es la probabilidad de éxito en un ensayo. x es el número de éxitos.En este problema:
La probabilidad que un componente funcione es 0.9, o sea, [tex]p = 0.9[/tex].Diseño de 2 componentes:
2 componentes implica que [tex]n = 2[/tex].La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
En que:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]
Entonces:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]
Diseño de 4 componentes:
4 componentes implica que [tex]n = 4[/tex].La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
En que:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]
[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]
Entonces:
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]
[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.
Un problema similar es dado en https://brainly.com/question/25132113
You can bike at a rate of 7 miles in 25 minutes. At this rate, how long will it take you to go 18 miles?
Answer:
64.2857
Step-by-step explanation:
take the distance traveled divided by the distance which will give you the speed traveling multiplying the distance and the speed will give you the time ot takes
the price of a stock was $52.63 when the stock market opened.it rose to $61.50 when the stock market closed.Find the percent of change of the stock price during the day
Answer:
3 and t pies holnden farmall travtor
8. To calculate 159 - 73, a student writes the follow-
ing equations:
160 - 70 = 90 - 3 = 87 - 1 = 86
Although the student has a good idea for solving the problem, their equations are not correct. In words, describe the student's solution strategy and discuss why the strategy makes sense; then write a correct sequence of equations that correspond to
this solution strategy.
Write your equations in the following form:
159 - 73 = some expression
= some expression
=….
= 86
The question is an illustration of solving equations using estimates.
The student's strategy makes sense because he uses estimation to solve the given equation
The correct sequence of equation is as follows:
[tex]\mathbf{159 - 73}[/tex][tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex][tex]\mathbf{159 - 73 =90- 4}[/tex][tex]\mathbf{159 - 73 =86}[/tex]We have:
[tex]\mathbf{159 - 73}[/tex]
Add 0 to the equation
[tex]\mathbf{159 - 73 =159 + 0- 73}[/tex]
Express 0 as 1 - 1
[tex]\mathbf{159 - 73 =159 + 1 - 1- 73}[/tex]
[tex]\mathbf{159 - 73 =160 - 1- 73}[/tex]
Add another 0
[tex]\mathbf{159 - 73 =160 - 1- 73 + 0}[/tex]
Express 0 as 3 - 3
[tex]\mathbf{159 - 73 =160 - 1- 73 + 3 - 3}[/tex]
[tex]\mathbf{159 - 73 =160 - 1- 70 - 3}[/tex]
Rewrite as:
[tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex]
Solve
[tex]\mathbf{159 - 73 =90- 4}[/tex]
[tex]\mathbf{159 - 73 =86}[/tex]
Read more about estimation and equations at:
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At the movie theatre, child admission is $5.20 and adult admission is $8.40. On Wednesday, 154 tickets were sold for a total sales of $1069.60. How many adult tickets were sold that day?
Answer:
127
Step-by-step explanation:
1069.60 divided by 8.40 equals 127.
how is the radius and area of a circle proportional
Answer:
The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.
Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius. Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2
Step-by-step explanation:
HELPPPPPPP FASSSSSSSSST THIS IS DUE
X+1/4=-5/20
Algebra
Solve for X
Answer:
[tex]x + \frac{1}{4} = \frac{5}{20} \\ x + \frac{1}{4} = \frac{1}{4} \\ x = \frac{1}{4} - \frac{1}{4} \\ x = 0 \\ thank \: you[/tex]
Find the mode of the following set of numbers.
{25, 23, 25, 25, 11, 25, 23, 38, 19, 25}
Answer:
25
Step-by-step explanation:
25 is the most frequent number found in the following set of numbers, so 25 would be the answer.
f(x)= x^2. what is g(x)?
A. g(x) = 1/4x^2
B. g(x) =1/4x^2
C. g(x) =4x^2
D. g(x) = 1/2x^2
Answer: g(x)=x/3^2
Step-by-step explanation:
We are given that:
f(x)=x²
We have to find g(x)
Since, we are given that g(3)=1
Hence, we will proceed by the options.
1. g(x)=
at x=3 g(x)=1/9
Hence, this option is incorrect.
2. g(x)=3x²
at x=3, g(x)=27
Hence, this option is incorrect.
3. g(x)= x²/3
at x=3, g(x)=3
Hence, this option is incorrect.
4. g(x)=
at x=3, g(x)=1
Hence, this option is correct
2 divided by 2348=? plz help
Answer:
0.00085
Hope this helps
Answer:
0.00085
Step-by-step explanation:
2/2348= 0.00085
Brian has 40 stickers. He shares 5 with his friends every day. After 5 days, how many stickers will Brian have left?
Answer: 15 stickers
Step-by-step explanation: 5*5=25 40-25=15
(8) We pour water into a pool. Suppose that w = The amount of water in the pool (in gallons) at time t(in minutes) Given the following table of values for t and w: t 0 5 10 15 20 w 100 125 130 140 155 find the average rate at which water was poured into the pool from 0 minutes to 10 minutes. Include units in your answer. Show how you get your answer.
Answer:
Step-by-step explanation:
The average rate is just the slope of the function between t = 0 and t = 10, so we must calculate change in w / change in t. w(10) = 130. w(0) = 100. So, the slope = (130-100)/(10-0) = 30/10 = 3 gallons per minute.
Please help
I will mark brainliest
Answer the questions in the picture
Thank you :)
mass=density×volume
mass=4.7(cm³)×19.3(g/cm³)=90.71 g
9) V= width × length × heightWhat is the average rate of change of g(x)=4x+5 ?
9514 1404 393
Answer:
4
Step-by-step explanation:
The equation is in slope-intercept form:
y = mx +b
where m is the slope (average rate of change).
In the given equation, m = 4.
The average rate of change is 4.
A coin is flipped 80
times. It lands tails 47
times. What is the Probability
1/2 or 50% because each flip of a coin is independent from the last and a fair coin has an equal probably of landing on either side.
Solve for y: 42/10 = 21/y
Answer:
Y = 5
Step-by-step explanation:
Correct answer: y = 5
By cross multiplication, you multiply 21 × 10, which is 210. Then, you divide 210 by 42, which is 5.
Which number line correctly shows look at pic
Answer:
A - The first one
Step-by-step explanation:
Answer:
The first line.
Step-by-step explanation:
The line starts off at 0,
then it goes to the left of the line -3 times.
Then it goes to the left -1.5 times.
this means it goes one and a half.
so it would land on the line after -4.
Write the equation of the graph in slope-intercept form (y = mx + b)
Answer:
y = -3x + 4
Step-by-step explanation:
To find the slope, use rise over run with two points. The first point (0,4) to the second point (-2,-2) is 6 units down and 2 units to the right, so you can set up a fraction to solve for the slope:
-6/2 = -3
To find the y-intercept,find the point where the x-value is 0. That point is (0,4),so the y-intercept is 4.
mx represents the slope, so mx is -3x and b is the y-intercept, so that value is 4.
Answer:
y = -3x + 4
Step-by-step explanation:
m = the slope (rise/run)
b = y-intercept
we can see that the rise is 6 (based on the two points) and the run is 2 (based on the labeled points)
- that means that m = 6/2 or m = 3
y = 0 when x = 4, so the y-intercept is 4, or b = 4
put it together!
y = 3x +b
BUT WAIT!!
- the line is decreasing which means that your equation should be negative, so put a negative symbol before 3x.
- why? the rise is decreasing!
final equation --------> y = -3x + 4
Solve for z:
32=12+4(z-1)
Answer:
6
Step-by-step explanation:
32 = 12 + 4 ( z - 1 )
32 - 12 = 4 ( z - 1 )
20 = 4 ( z - 1 )
20 / 4 = z - 1
5 = z - 1
z - 1 = 5
z = 5 + 1
z = 6
The area of a room is 65.25 meters squared. If its width is 8.7 meters, what is its length?
Answer:
28 / 4 = -7.v
Step-by-step explanation:
100 + 234 -71 - 8 + 1
Answer:
334-78
256 is the answer
The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many cups will he have eaten if he ate 3 servings? Show your work
Answer:
2 1/4
Step-by-step explanation:
3/4+3/4+3/4= 9/4 = 8/4 +1/4
=2 1/4
PLEASEEE!! HEPPPP!!
It takes Shonda of an hour to dry one load of laundry in her dryer. How many hours will it take her to dry 4 loads of laundry?
A. 1/5
B. 1 3/5
C. 3 1/5
D. 4/5
No of hours
[tex]\\ \sf\longmapsto 4(1)[/tex]
[tex]\\ \sf\longmapsto 4 hours[/tex]
None of the above
what is the equation of the blue line
Answer: y+-1m -1
Step-by-step explanation:
