Answer:
2
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
b = 2
Answer:
since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept
The perimeter of a rectangular plot of land for a new housing development is 270 m.
The width of the site is 60 m.
Calculate the length of the building site.
The length of the building site is 75 meters.
To calculate the length of the rectangular plot of land, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (Length + Width)
In this case, the width is given as 60 m, and the perimeter is given as 270 m. We can substitute these values into the equation and solve for the length.
270 = 2 * (Length + 60)
Dividing both sides of the equation by 2 gives:
135 = Length + 60
Subtracting 60 from both sides of the equation gives:
Length = 135 - 60
Length = 75
It's important to note that the length of the building site is specific to this particular rectangular plot of land with a given width and perimeter. If the width or perimeter were to change, the length would also change accordingly. Additionally, this calculation assumes that the shape of the plot is a rectangle and that the perimeter only includes the sides of the plot, not any internal structures or obstacles.
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Evaluate the expression for x = 2 and y = 4 . (x ^ 5 * y ^ 7) / (x ^ 3 * y ^ 5) numbers only
Answer:
Answer is 64.
Step-by-step explanation:
524288/8192 = 64
If 2^2x = 2^3, what is the value of x?
Answer:
x = 2
Step-by-step explanation:
Alex has trained his puppy, Popper, to
jump through a ring. According to Alex's
measurements and calculations, the ring
has a diameter of 3.5 feet. What is the
ring's circumference (use 3.14 for pi)?
1. 8.75 ft
2. 11.32 ft
3. 12.25 ft
4. 10.99 ft
Answer:
4.10.99
Step-by-step explanation:
3.14 * 3.5
Need the answer for x and y
Answer:
How many molecules of water are there in 10 lbs of water?
Step-by-step explanation:
Answer:
x = 15
AC = 95
Step-by-step explanation:
6x + 5 = 8x - 25
combine like terms:
2x = 30
x = 15
AC = 95
The population of a country has been increasing for several decades. In 1990, the population was about 263 million people In 2014, the population was about 307 million people Determine the percent in + The country's population increased by about % during this time period
Answer:
The country's population increased by about 16.73% during this time period.
Step-by-step explanation:
Percent increase:
The percent increase is given by the change multiplied by 100 and divided by the initial value.
In 1990, the population was about 263 million people In 2014, the population was about 307 million people.
Change: 307 - 263 = 44
Initial population: 263
Percentage increase:
44*100/263 = 16.73%
The country's population increased by about 16.73% during this time period.
log 3x^2y fully expanded
Answer:
6xy
Step-by-step explanation:
22% of _ peaches is 11 peaches
An initial investment of $2,000 earns 7% interest compounded continuously. What will the investment be worth in 17 years? (Round your answer to the nearest cent.)
Answer:
Future value, A = $6,317.6
Step-by-step explanation:
Given the following data;
Principal = $2,000
Interest rate = 7%
Time = 17 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]
[tex] A = 2000*(1 + 0.07)^{17}[/tex]
[tex] A = 2000*(1.07)^{17}[/tex]
[tex] A = 2000 * 3.1588 [/tex]
Future value, A = $6,317.6
A game comes with a deck of cards with each card
showing one of the numbers 2, 3, 4, 5, 6, or 8. Each
card occurs one time in red, one time in purple, and
one time in blue. Given that a blue card is drawn, what
is the probability the card is a 4?
Select one:
4/9
1/18
1/3
1/6
Aasf;kbdaihhakufnsdo;fgaoudghosaugbolfbodbfaifjla;db;ihjlksabd;ohipn
Step-by-step explanation:
Answer:
k
Step-by-step explanation:
ok soo ima need help !! {re-posting this one}
question-
Select all of the ratios that are equivalent to 6:16.
2:8
3:8
12/18
30/80
18 to 48
Answer:
3:8
30/80
18 to 48
Step-by-step explanation:
3:8 (6 and 16 divided by 2)
30/80 (6 and 16 times 5)
18 to 48 (6 and 16 times 3)
3/4(5a - 16)- 1/3(6a-3)
Answer:
If you want an expression answer (Simplify):
= 7/4a - 11
If you want an answer to the variable a (Find 'a'):
7/4a - 11 = 0
7/4a = 11
a = 44/7
Step-by-step explanation:
3/4(5a - 16) - 1/3(6a - 3)
= 15/4a - 12 - 2a + 1
= 7/4a - 11
A gumball machine consists of a base and a glass sphere. The gumballs are stored in the glass sphere. If each
gumball has a diameter of 1.5 inches, about how many gumballs can be stored in a gumball machine whose glass
sphere measures 10 inches in diameter?
Answer:
6 gumballs can be stored in the gumball machine.
Step-by-step explanation:
Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:
10 / 1.5 = X
6.666666 = X
Thus, 6 gumballs can be stored in the gumball machine.
a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.
Answer:
A
Step-by-step explanation:
The statement 'the bike distance is greater than the run distance.' must be true.
The correct answer is option D.
What is distance?"It is the length of the line joining the two points."
Angle properties:In any triangle,
the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.For given example,
We have given two angles of triangle.
65° and 57°
We know, the sum of all angles of triangle is 180°.
Let 'x' be the remaining angle.
⇒ x + 65° + 57 = 180°
⇒ x +122° = 180°
⇒ x = 58°
We know,
In any triangle,
- the smallest side and smallest angle are opposite one another.
- the mid-sized side and mid-sized angle are opposite one another.
- the largest side and largest angle are opposite one another.
Here,
57° < 58° < 65°
⇒ Run < Bike < Swim
This means, the statement 'the bike distance is greater than the run distance.' is correct.
The correct answer is option D.
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Helpppppp plssssssss
Answer:
y^6
Step-by-step explanation:
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
Simplify: (3^5)^2 / 3^-2
A) 3^10
B) 3^9
C) 3^12
D) 3^8
Answer:
3^12
Step-by-step explanation:
(3^5)^2 / 3 − ^2 = 243^2/3−^2 = 59049 / 3−^2 = 59049/ 1 / 9 = 531441
= 3*3*3*3*3*3*3*3*3*3*3*3 = 3^12
what are 4 major accomplishments in Will Smith's life?
Answer:
He first rapped as a duo named Dj Jazzy Jeff and the fresh prince in 1988, with the hit songs Summertime and Parents just don't understand
He then started his career as an actor with the hit sitcom The fresh prince of Bel-air in 1990
He then later gained more popularity in 1997 with hit songs like Gettin jiggy and Miami
He became a well-known actor for movies like Bad boys, Men in black, and the Aladin remake in 2019
Step-by-step explanation:
Hope this helps and don't forget to follow!
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One third is equivalent to what number over 12?
Answer:
4/12
Step-by-step explanation:
1/3=x/12
using the butterfly method you see that
12=3x
and when solved you get
x=4
giving you
4/12
Also multiply 1/3 by 4 on each side
One third is equivalent to 4 over 12.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Let the unknown number be x.
Here, 1/3 = x/12
Multiply both the numerator and denominator of 1/3 by 4, we get
4/12
So, 4/12 = x/12
x=12
Therefore, the unknown number is 12.
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5x≥25 help th bewbsanks
X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots
Answer:
The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0
Step-by-step explanation:
For which of the following are x=4 and x=-4 solutions?
Answer:
2x2 - 5x - 12 = 0.
(2x + 3)(x - 4) = 0.
2x + 3 = 0 or x - 4 = 0.
x = -3/2, or x = 4. I hope this helps
Step-by-step explanation:
The question I’m trying to figure out is What is y?
Answer:
y = 136
Step-by-step explanation:
x + 54 + 82 = 180
x + 136 = 180
x = 44
x + y = 180
44 + y = 180
y = 180 - 44
y = 136
Using the same scenario as above, but now you do not know the population variance. You collect a random sample of n = 21 cereal boxes and find the sample mean is 12.8 and the sample standard deviation to be 0.5. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01.
Required:
a. Find the test statistic.
b. Using the rejection region, do you reject or not reject the null hypothesis?
c. Find the p-value.
d. Using the p-value, do you reject or not reject the null hypothesis?
e. In context of your problem, what is your conclusion about the ounces contained in cereal boxes?
Answer:
-1.833 ; we do not reject the Null.
Pvalue = 0.0409 ; We do not reject the Null
There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13
Step-by-step explanation:
H0 : μ = 13
HA : μ < 13
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(12.8 - 13) ÷ 0.5/sqrt(21)
-0.2 / 0.1091089
= - 1.833
The critical value at α = 0.01 ; df = 21 - 1 = 20 = 2.528
-1.833 > - 2. 528 (left tailed test) ; Hence we do not reject the Null.
Test statistic :
Pvalue from Test statistic at DF = 20 ; α = 0.01
Pvalue = 0.0409
Pvalue > α
0.0409 > 0.01 ; Hence, we do not reject H0.
There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,-3) and (4,6)
Answer:
9.8
Step-by-step explanation:
x1 = 8 x2 = 4 y1 = -3 y2 = 6
[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]
[tex]\sqrt{(4 - 8)^{2}+(6 - -3)^{2}[/tex]
= 9.8488
= 9.8
Nicole received the following scores on her last 10 math assignments.
Answer: 89
Step-by-step explanation:
right on edge
pls help me i suck at math and i really need this done.
Answer:
1.x²+x-2
=x²+2x-x-2
=x(x+2)-1(x+2)
=(x+2)(x-1)
2.
(x²+x-2)/(x-1)
={x²+2x-x-2}/(x-1)
={x(x+2)-1(x+2)}/(x-1)
={(x+2)(x-1)}/(x-1)
=(x+2) true
Please help I kind of understand but not fully
Answer:
Graph #1 - y=-20x+40
Graph #2 - y=5x+10
Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use
M = y2-y1/x2-x1FROM GRAPH #1:
(3,40) (2,80)(x1,y1) (x2,y2)
80-40/2-3
20/-1
M = -20
FROM GRAPH #2:
(1,10) (3,20)(x1,y1) (x2,y2)
20-10/3-1
10/2
M = 5
2. Now once you find the slope you will use the equation of a line formula to form an equation.
y=mx+bThe (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)
3. Since we now know the equation of a line and the slope we will substitute the variables.
Graph #1:
y=mx+b
y=-20x+40
Graph #2:
y=mx+b
y=5x+10
HOPE THIS HELPS :)Find the opposite of: - 4x2 - 6x + 3
https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do
Answer:
so fun and amazing!
Step-by-step explanation: