Answer:
5/12
Step-by-step explanation:
opposite is on the other side of the number line. 5/12 is the answer
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
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:
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.
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:
https://brainly.com/question/18454732
If everything in a store is 20% off, what is the equation of the proportional relationship that describes the amount of the discount
y=___x
Answer:
y = 0.20x
Step-by-step explanation:
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 × height2 divided by 2348=? plz help
Answer:
0.00085
Hope this helps
Answer:
0.00085
Step-by-step explanation:
2/2348= 0.00085
David invested $350 in an account paying an interest rate of 3 % compounded
continuously. Jack invested $350 in an account paying an interest rate of 3%
compounded quarterly. After 5 years, how much more money would David have in
his account than Jack, to the nearest dollar?
Answer:
$0 differenceStep-by-step explanation:
DavidPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number = continuousTime t = 5 yearsTotal in account after 5 years:
[tex]A=Pe^{rt}=350*e^{0.03*5} = 406.64[/tex]JackPrincipal P = $350Interest rate r = 3% = 0.03 PA compoundedCompound number n = 4Time t = 5 yearsTotal in account after 5 years:
[tex]A = P(1+r/n)^{nt}=350(1+0.03/4)^{4*5}=406.41[/tex]The difference in totals:
$406.64 - $406.41 = $0.23 ≈ $0 rounded to the nearest dollarAfter 5 years Jack will have $0.66 more money in his account than David.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For David, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.
Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75
Hence, after 5 years, David will have $405.75 in his bank account.
For Jack, S = sum of money after the total period of investment.
P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.
Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.
Hence, after 5 years, Jack will have $406.41 in his bank account.
Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.
Learn more about compound interest here: brainly.com/question/25857212
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(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.
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.
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
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:
Select the best answer for the question.
11. Which of the following is a mixed number?
O A.25
O B.5/2
C. 2.3
O D.2/ 1/2
Answer:
c
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
Which equations have no solution? Check all that apply.
- 1x] = 0
[x] =-15
0 - x = 12
-|-x] = 9
-|-x] = -2
Answer:
- 1x] = 0
[x] =-15
Hi, I need help on this, please help me out.
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:
Solve 1.5x = 12 for x. O A. x= 13.5 O B. x = 6 O C. x = 10.5 O D. x = 8
Answer:
x=8
Step-by-step explanation:
1.5x = 12
Divide each side by 1.5
1.5x/1.5 = 12/1.5
x =8
x = 8
Step-by-step explanation:
[tex]\begin{aligned}\tt 1.5x&=12\\\tt\frac{3}{2}x&=\tt 12\to(\times~2)\\\tt 3x&=\tt 24\\\tt x&=\tt\frac{24}{3}\\\tt x&=\tt 8\end{aligned}[/tex]
what is the equation of the blue line
Answer: y+-1m -1
Step-by-step explanation:
pls help asap!!!!!!!!
is y=3 and x=5 perpendicular?
Answer:
yes
Step-by-step explanation:
One is a horizontal line, and the other is a vertical line.
Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.
Step-by-step explanation:
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
18. In a basketball game,
Benito scored 3 points less than twice the number of points that
Carnell scored. Benito scored 13 points. How many points did Carnell score?
Answer:
32
Step-by-step explanation:
13+3=16
16*2=32
the function G(x)=1+2sin(x+pi) is the result of the application of transformations in the original function F(x)=sin(x). which of the following options correctly describes the transformations applied to F(x)
Answer:
D. a vertical shift of 2 and a phase shift of pie/ 2
Step-by-step explanation:
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.
What 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.
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.
HELPPPPPPP FASSSSSSSSST THIS IS DUE
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
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