Answer:
Width = 132 feet, Length = 291 feet
Step-by-step explanation:
perimeter (P) = 846
let width(W) = x
length(L) = 159 feet more than width = 159 + W= 159 + x
P of a rectangle = 2*(L + W)
846 = 2*((159 + x) + x)
divide both side by 2
423 = (159 + x) + x
423 = 159 + 2x
rearranging
2x + 159 = 423
2x = 423 -159
2x = 264
divide both sides by 2
x = 132 feet
recall W = x and L = 159 + x
W = 132 feet
L = 159 + 132 = 291 feet
g The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon (mpg) on the vertical axis. The overall direction of this data is __________. The strength of the association is __________. a.) positive; weak b.) positive; strong c.) negative; strong d.) negative; weak
scatterplot relating to the question is attached below.
Answer: Negative ; Strong
Step-by-step explanation:
From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.
Write each expression in simplest form.
3d + 6d
2 + 55-4
2z+3-92-8
Answer:
9d
53
2z-97
Step-by-step explanation:
Its basically just simplification btw.
pingu!
In the number 4,118, how does the value represented by the 1 in the hundreds place compare with the value represented by the 1 in the tens place?
Answer:
its 10 times
Step-by-step explanation:
its because the value of 1 in the ten place and multiply by 10 to get the 1 in the hundred place or the 1 in the hundred place divide by 10 to get 1 in the tens place
convert this statement into a conditional statement: 2 angles that add up to 180 degrees are supplementary
Solve for j.
-12 + 6j = 7j
Answer:
[tex]\large\boxed{j = -12}[/tex]
Step-by-step explanation:
-12 + 6j = 7j
Subtract 6j from both sides of the equation
[tex]\large\boxed{j = -12}[/tex]
This kind of equation can usually be solved by moving the numbers to the opposite side of the equation as the variables.
Hope this helps :)
Which is equivalent to (3 + 4i )(3 - 4i )?
Use the FOIL method to solve.
(3 + 4i)(3 - 4i)
(3 * 3) + (3 * -4i) + (4i * 3) + (4i * -4i)
9 - 12i + 12i - 16i
9 - 16i
Best of Luck!
Write the values that make the denominators zero. then solve the equation?
10/5x-5 + 1/5 = 2/x-1
Answer:
denominators are zero for x=1
there is no solution
Step-by-step explanation:
We suspect your equation is supposed to be ...
10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators
The denominators will be zero for x=1.
This version of the equation has no solution. It simplifies to ...
2/(x-1) + 1/5 = 2/(x -1)
1/5 = 0 . . . . . subtract 2/(x-1) from both sides
There is no value of x that will make this equation true.
_____
Alternative interpretation
The way your equation is written, it must be interpreted according to the order of operations to be ...
(10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero
2x -3.8 = 2/x
2x^2 -3.8x = 2 . . . . multiply by x
2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)
(x -0.95)^2 = 1.9025
x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}
simplify (4x+1)(3+9x)
Answer:
36 x 2 + 21 x + 3
Step-by-step explanation:
Simplify the expression.
Add and subtract the second term to the expression and factor by grouping. You get 3 ( 4 x + 1 ) ( 3 x + 1 )
What is the value of AB?
Answer:
use the pythogoras thoerem making aright angled traingle
and multiply the result by 2
ab = 2*8 =16
Step-by-step explanation:
PLEASE ANSWER FAST
Find the square root of 16.
O a
-4
Ob
4
Ос
+4
Od
-8
Answer:
the square root of 16 is 4
A standardized exam's scores are normally distributed. In a recent year, the mean test score was and the standard deviation was . The test scores of four students selected at random are , , , and . Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Answer:
The following are the solution to this question:
Step-by-step explanation:
In the given question, some of the values are missing which is defined in the attached file please find it.
In this question, the data is used to represent a standardized exam's scores, which is normally spread out into the test score that is 1530 and its standard deviation 316.
Formula:
[tex]\to z=\frac{X- \mu}{\sigma } \\[/tex]
If the value of z-score= 1930
[tex]\to z =\frac{1930- 1530}{316 } \\\\ \to z =\frac{400}{316 } \\\\ \to z = 1.27[/tex]
The z-score is 1.27
If the value of z-score= 1250
[tex]\to z =\frac{1250- 1530}{316 } \\\\ \to z =\frac{-280}{316 } \\\\ \to z = -0.886[/tex]
The z-score is -0.886
If the value of z-score= 2250
[tex]\to z =\frac{2250- 1530}{316 } \\\\ \to z =\frac{720}{316 } \\\\ \to z = 2.27[/tex]
The z-score is = 2.27
If the value of z-score= 1420
[tex]\to z =\frac{1420- 1530}{316 } \\\\ \to z =\frac{-110}{316 } \\\\ \to z = -0.348[/tex]
The z-score is = -0.348
Can someone help me with 4?
Answer:
ok so the answer is 343
Step-by-step explanation:
so for 4) you first use PEMDAS(Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), and you do what's in the parenthesis first, so 7^4= 2401, that is inside the parenthesis, next you do the exponent outside the parenthesis, so is (2401)^2=5764801, and then you divide the 7^5=16807, so it looks like 5764801/16807=343
hope it helps
Answer:
The Answer is 343.
Step-by-step explanation:
First- We do the parenthesis first according to PEMDAS which is 7 x 7 x 7 x 7 equals 2401.
Next- We do 2401 x 2401 which equals 5764801.
Then- We do the bottom exponent which is 7 x 7 x 7 x 7 x 7 equals 16807.
Last- We divide 5764801 by 16807 and we get 343.
Hope this helps!
Quick I need help, it states what polygon is shown by the street sign
Solve for x-
5x-2 = 2x+10
✨__________________________________✨
4 is correct answer
Step-by-step explanation:
[tex]5x - 2 = 2x + 10 \\ 5x - 2x = 10 + 2 \\ 3x = 12 \\ x = \frac{12}{3} \\ x = 4[/tex]
✨__________________________________✨
Written By: A Silent Voice☃️
Find the 9th term of the geometric sequence 4, 16, 64, ...
Answer: Just keep multiplying by 4 after 64 like multiply 64 times 4 and do that number times and keep doing that until its the 9th answer :)
Step-by-step explanation:
A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
What is geometrical series?A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.
The first term of the series is 4, while the ratio of the geometric sequence:
[tex]\rm Ratio, r = \dfrac{16}{4} = 4[/tex]
Thus, the 9th term of the geometric series can be written as,
[tex]a_n = a_1 \times r^{(n-1)}\\\\a_9 = 4 \times 4^8\\\\a_9 = 262,144[/tex]
Hence, the 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
Learn more about Geometrical Series:
https://brainly.com/question/4617980
#SPJ2
please help me it is easy,
Answer:
i think id say it is 10.5 i might be wrong though
Step-by-step explanation:
Answer:
14 lemonade serving
Step-by-step explanation:
1½+3=4½
In 4 liters we get 12 ⅓serving of lemonade
In ½ we get 1 serving of lemonade from the ½ we remain with to ⅙liters so we still add that as a serving
Total =12+1+1=14
Una piscina rectangular de 15 metros de largo por 9 metros de ancho està rodeada por un
camino de cemento de ancho uniforme. Si el área del camino es 112 metros cuadrados, ¿cuánto
mide su ancho?
Answer: 2 meters.
Step-by-step explanation:
Let w = width of the cement path.
Dimensions of pool : Length = 15 meters , width = 9 meters
Area of pool = length x width = 15 x 9 = 135 square meters
Along width cement path, the length of region = [tex]2w+15[/tex]
width = [tex]2w+9[/tex]
Area of road with pool = [tex](2w+15) (2w+9)[/tex]
[tex]= 4w^2+30w+18w+135\\\\=4w^2+48w+135[/tex]
Area of road = (Area of road with pool ) -(area of pool)
[tex]\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2[/tex]
width cannot be negative, so w=2 meters
Hence, the width of the road = 2 meters.
the value of 7y–2 is 10 more than the value of 2y
Answer:
y=12/5 (in decimal notation y=2.4)
Step-by-step explanation:
the value of 7y-2 = 10 more than 2y
7y-2 = 10+2y
7y-2y = 10+2
5y = 12
y = 12/5
y = 2.4
The rule (x, y) → (-X, -y) maps A RST to A R'S'T',
Which statement correctly describes the relationship between ARST and A R'S'T'?
The triangles are congruent because AR'S'T' is a rotation of ARST, and a rotation is a rigid motion.
The triangles are congruent because AR'S'T' is a translation of ARST and a translation is a rigid
motion
The triangles are not congruent because AR'S'T' is a translation of ARST, and a translation is not a
rigid motion
The triangles are not congruent because AR'S'T' is a rotation of A RST, and a rotation is not a rigid
motion
Answer:
A
Step-by-step explanation:
These triangles are first off congruent, because the only value that is changing, is the negative sign in front.
This negative sign means that the triangle is being rotated to a different quadrant of the graph, so the answer is A.
How do you draw the probabilities for this tree diagram?
Step-by-step explanation:
The prize is equally likely to have been placed behind doors 1, 2, and 3, so the probabilities of D₁, D₂, and D₃ are equal.
P(D₁) = P(D₂) = P(D₃) = 1/3
The contestant initially chooses door 1, so the host will not open it.
P(H₁|D₁) = P(H₁|D₂) = P(H₁|D₃) = 0
The host will not open the door with the prize.
P(H₂|D₂) = P(H₃|D₃) = 0
The remaining probabilities for each door are equal.
P(H₂|D₁) = P(H₃|D₁) = 1/2
P(H₃|D₂) = 1
P(H₂|D₃) = 1
Type an equation for the
following pattern.
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22/7 for π.
C=πd
r=21
d=42
C=132 ft, and D is your final answer. Hope it help!
Answer:
132
Step-by-step explanation:
D
Is 5 a solution to 2x + 5 = 15? Yes or No
How do you know?
Answer:
Yes
Step-by-step explanation:
yes because when you place 5 in the x spot you arrive a final answer of 15=15
Which equation must be true for m(x) and n(x) to be inverse?
Answer:
see below
Step-by-step explanation:
When the functions are inverses of each other, it will be true that ...
m(n(x)) = n(m(x)) = x
The expanded form of this equation is shown below.
The sum of three consecutive integers is 267. What is the largest integer?
Answer:
let integers be x,2x, 3x respectively
x+2x+3x= 267
6x= 267
x=267/6= 44.5
2x= 44.5*2= 89
3x= 44.5*3= 133.5
largest integer = 133.5
hope it helps
plz mark as brainliest
Rewrite the quality 827,000,000,000,000 pico second to show :
1sig. Fig.
2sig. Fig.
3sig. Fig.
4 dig. Fig.
5sig. Fig.
Answer:
a. 1 sig. fig. _800,000,000,000,000 picoseconds (8 x 10^14 picoseconds)
b. 2 sig. figs. 830,000,000,000,000 picoseconds (8.3 x 10^14 picoseconds)
c. 3 sig. figs. 827,000,000,000,000 picoseconds (8.27 x 10^14 picoseconds)
d. 4 sig. figs. 827,000,000,000,000 picoseconds (8.270 x 10^14 picoseconds)
e. 5 sig. figs. 827,000,000,000,000 picoseconds (8.2700 x 10^14 picoseconds)
Step-by-step explanation:
( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number.
(5 - 2i)^2
Simplify.
25 - 20i + 4i^2
Remember that i^2 = -1.
25 - 20i - 4
Combine like terms
21 - 20i
5445,568
Step-by-step explanation:
PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST !!!
the answer is c
i already done it
Answer:
1/3 would be your answer
Step-by-step explanation:
anyway have a great day
What is the solution of the equation 8x^3 = -64?
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]8x^3=-64[/tex]
Divide both sides by 8:
[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]
[tex]x^3=-8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{-8}[/tex]
[tex]x=-2[/tex]
What is 8,541 rounded to the nearest thousand?
A) 8,500
B) 8,000
C) 8,600
D)9,000
ANSWER PLEASE
Step-by-step explanation:
Answer:
Question What is 8,541 rounded to the nearest thousand? Answer D)9000
Your Welcome =)=}[tex]\sqrt{x} 8\\[/tex]