Answer:
n≥9/4
Step-by-step explanation:
Times both sides by 3/2
(3/2)(2/3)n≥(3/2)(3/2)
Note that because 3/2 is positive ( > 0) we don't flip the inequality's direction.
n≥9/4
What is the magnitude and direction of with tail and head points M(-3, -2) and N(4, 0)?
Answer:
Step-by-step explanation:
difference of x-coordinates = 4-(-3) = 7
difference of y-coordinates = 0-(-2) = 2
length of MN = √(7²+2²) = √53 ≅ 7.28 units
tanθ = 2/7
θ = arctan(2/7) ≅ 15.9°
heading = 74.1° from north
The magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
How to determine the magnitude and direction?We have:
M(-3, -2) and N(4, 0)
Calculate the magnitude using
[tex]MN =\sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2[/tex]
This gives
[tex]MN =\sqrt{(4 + 3)^2 +(0 + 2)^2[/tex]
Evaluate
MN = 7.28
The direction is calculated as:
[tex]\theta = 90 - \tan^{-1}(\frac{y_2 - y_1}{x_2 -x_1})[/tex]
This gives
[tex]\theta = 90 -\tan^{-1}(\frac{0+2}{4+3})[/tex]
[tex]\theta =90 - \tan^{-1}(\frac27)[/tex]
Take the arc tan
[tex]\theta = 90 - 15.9\°[/tex]
Evaluate
[tex]\theta = 74.1\°[/tex]
Hence, the magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
Read more about magnitude and direction at:
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Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x
A line passes through (1, 1) and ( – 3,5).
What is the equation of the line in slope-intercept form?
If 36% of a number is 325, what is 15% of the number?
Answer:
135.4166
Step-by-step explanation:
Select the correct answer.
Use this tax table to find how much tax you need to pay on a taxable income of $40,000.
The tax is:
If taxable
income is over-
But not
over-
SO
$7,825
$31,850
$77,100
$7.825 10 percent of the
amount over SO
$31,850 $782.50 plus 15 percent
of the amount over
7,825
$77,100 $4,386.25 plus 25
percent of the amount
over 31,850
$160,850 $15,698.75 plus 28
percent of the amount
over 77.100
$349.700 $39,148.75 plus 33
percent of the amount
over 160,850
no limit S101,469.25 plus 35
percent of the amount
over 349.700
S160,850
S349,700
OA
$6,423.75
OB
$8.150.50
OC. $12.536.25
Reset
Net
Reset
Next
Suppose that we have a sample space S5 {E1, E2, E3, E4E4E, E5, E6, E7}, where E1, E2, . . ., E7 denote the sample points. The following probability assignments apply: P(E1) 5 .05, P(E2) 5 .20, P(E3) 5 .20, P(E4) 5 .25, P(E5) 5.15, P(E6) 5 .10, and P(E7) 5 .05. LetA5{E1,E4E4E,E6}B5{E2E2E,E4E4E,E7E7E}C5{E2E2E,E3,E5,E7E7E}a.Find P(A(A(), P(B), and P(C).b.Find AB and P(A(A(>B).d.Are events A and C mutually exclusive?C mutually exclusive?Ce.Find Bc and P(Bc).
Answer:
P(A) = 0.4 ; P(B) = 0.50 ; P(C) = 0.60 ; P(A u B) = 0.65 ; P(A n B) = 0.25 ;
A and C are mutually exclusive ;
0.5
Step-by-step explanation:
S = {E1, E2, E3, E4, E5, E6, E7}
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05
Let:
A{E1,E4,E6}
B{E2,E4,E7}
C{E2,E3,E5,E7}
P(A) = 0.05 + 0.25 + 0.10 = 0.40
P(B) = 0.20 + 0.25 + 0.05 = 0.50
P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.60
AUB = {E1, E2, E4, E6, E7}
P(A u B) = 0.05 + 0.20 + 0.25 + 0.10 + 0.05 = 0.65
AnB = {E4}
P(A n B) = 0.25
A and C are mutually exclusive if AnC = ∅
A n C = ∅
Hence, A and C are mutually exclusive.
B complement = B' = {E1, E3, E5, E6}
P(B') = 0.05 + 0.20 + 0.15 + 0.10 = 0.5
Select the best inequality: n is "larger than" -18
Answer:
Step-by-step explanation:
Lines and care parallel
What is the measure of _22
m_2 = 31°
m_2 = 50°
m22 = 120
56
m_2 = 130
Answer:
the answer to your question is m22=120
Find the sum of an ARITHMETIC PROGRESSION whose first term is 6 and last term is 46
Answer:
Step-by-step explanation:
It depends on the number of terms in the progression. If there are n terms:
S_n = n × (6 + 46)/2
Which of the following are factors of:
6x2−11x+4
Question 11 options:
(2x-1)
(2x-4)
(x+4)
(6x+1)
(3x-4)
(3x-1)
If Lisa had three Apples and Bob
gave her to more. How many would
Lisa have all together.
Answer:
5
Step-by-step explanation:
3 + 2 = 5
Answer:
5
Step-by-step explanation:
Please help this is due in 20 mins, I will give brainliest
Answer:
L = 5[tex]\sqrt{10}[/tex]
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]
Answer:
by Pythagoras law
(10√3)²=l²+(5√2)²
100×3-25×2=l²
l²=25o
l=√250=5√10
:.l=5√10
Need help pls!!!!!!!!!!?
Answer:
2, 4, & 6 = 84 degrees
1, 3, 5 , & 7 = 96 degrees
Step-by-step explanation:
Thx so much if you can help!
Answer:
undefined
Step-by-step explanation:
The line is a vertical line
Vertical lines have an undefined slope
convert to mixed number
A. 3 2/5
B. 1 3/5
C. 2 1/2
hope this helps!!
BRAINLIEST PLS??
Describe the characteristics of metal in which metal converts into sheet.
Answer:
a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)
Step-by-step explanation:
х 1 2 3 4
y 9 18 27 36
y= ______Х
Answer:
9
Step-by-step explanation:
basically multiplying each number by 9
1x9=9 2x9=18 3x9=27 and 4x9=36
it's pretty easy tbh (love the pfp)
II. Read and analyze the given problem. Write your answer on a separate sheet of paper.
Using the figure below, solve for the value of x and find the length of EF and GH.
Answer:
kjkh
Step-by-step explanation:
hkkhk
I need it please somebody
Answer:
x = 2
Step-by-step explanation:
m<WUV = 2(m<1) (angle bisector)
28x = 2(13x + 2)
28x = 26x + 4
Collect like terms
28x - 26x = 4
2x = 4
2x/2 = 4/2
x = 2
dara has 188 baseball cards. she sells 1/4 of them and gives 1/2 of them to her brother. how many cards does she have left?
Una ciudad se encuentra 17 km al oeste y 8 km al norte de otra ¿cual es la distancia lineal entre las dos ciudades?
Answer:
Could you put this in english so that i'm able to answer..?
Step-by-step explanation:
Solve the system of equations using elimination
Answer:
(1, 3).
Step-by-step explanation:
x + 2y = 7
3x - 2y = -3
Adding the 2 equations will eliminate y:
4x = 4
x = 4/4
x = 1
Plug x = 1 into the first equation:
1 + 2y = 7
2y = 6
y = 3.
Find the mean, the median and the mode of 12, 13, 9, 8, 8, 7, 6, 8, 10
Answer:
if I am not mistaken.. the median would be 9 and the the mean is also 9.
Step-by-step explanation:
first you order the numbers from least to greatest and the find with is the middle number to find the median.
6,7,8,8,8,9,10,12,13 (answer: 9)
To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.
1) 6+7+8+8+8+9+10+12+13= 81
2) 81 ÷ 9 =9
Answer:
Mean: 9, Median: 8 Mode: 8
Step-by-step explanation:
MEAN: The AVERAGE total of all the values divided by the numbers of values.
6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81 81/9 (set of #'s)= 9
MEDIAN: The number in the MIDDLE of the list of values.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, the middle value is 8
MODE: The number that appears the most.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, 8 appears 3 times.
Hope this helps!
1/4 + 2/3 = equals what
BRAINLYIST to first person to answer is correct.
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
i think its A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Step-by-step explanation:
So , the value of x is greater then -6 . So , Correct option is A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
1/2x^2 -8x+3 NEED HELPPPPPPP NOWWWWW
Answer: 1 /2 ( x 2 − 16 x + 6 )
Step-by-step explanation:
Answer:
(8,-29)
Step-by-step explanation:
Comment if you need work
Brainliest would be appreciated :)
Find the domain of the graphed Function
A. X is all real numbers
B. -4
C. -4
D.X>-4
The Courtney family wants to expand their rectangular patio, which currently measures 13ftby 18 ft. They want to extend the length and width by the same amount to increase the total areaby 140 ft squared. Write a quadratic equation that models the situation. YOU DO NOT HAVE TO SOLVE.
Answer:
hi
Step-by-step explanation:
et the number of feet they are going to expand the width and length of the patio. ... But, we also know form our problem that they want to increase the total area of the patio by 160 ... Now we can equate the expanded area of the patio and simplify: ... Write the quadratic equation in standard form: x^2- 1 = -7x.
3(k-2)+7=29-k denklemin kökünü bul
Answer:
k = 7
Step-by-step explanation:
3(k - 2) + 7 = 29 - k
3k + k = 29 + 6 - 7
4k = 28
k = 7
Which of the following are remote interior angles of Z5? Check all that apply.
Answer:
e
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
The answer is Angle 1 and Angle 2.
