Write the equation of a line in Point-Slope form that has a slope of -2/3 and
passes through the point (-1,3).
Answer:
The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
Step-by-step explanation:
Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:
y - y1= m*(x-x1)
In this equation, m is the slope and (x1, y1) are the coordinates of the point.
In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:
y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))
This is:
y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)
Write a polynomial that represents the area of the square 7n-5, plz help, thank you!
Answer:
49n² - 70n + 25
Step-by-step explanation:
Area of a square = s²
Where,
s = side length = 7n - 5
Area of the square = (7n - 5)²
= (7n - 5)(7n - 5)
= 7n(7n - 5) -5(7n - 5)
= 49n² - 35n - 35n + 25 (distributive property of equality)
Add like terms
Area = 49n² - 70n + 25
Tim flips a weighted coin 6 times and gets 2 tails. What is the experimental probability that the next flip will come up tails?
Answer:
1/3
Step-by-step explanation:
bc 2/6 reduces to 1/3
[3(15+4)^2+2(20+5)^2]^0
Answer:
B
Step-by-step explanation:
any non-zero expression raised to the power of 0 equals 1
A company wants to evaluate its attrition rate, in other words, how long new hires with the company. Over the years, they have established the following probability distribution.
Let X = the number of years a new hire will stay with the company.
Let P(x) = the probability that a new hire will stay with the company x years.
1. Complete Table using the data provided.
x p(x)
0 0.12
1 0.18
2 0.30
3 0.15
4
5 0.10
6 0.05
2. P(x = 4) = _________
3. P(x ≥5) = __________
4. On average, how long would you expect a new hire to stay with the company?
Answer:
2.) 0.10 (3.) 0.10 (4.) 2.43
Step-by-step explanation:
Given that:
x p(x)
0 0.12
1 0.18
2 0.30
3 0.15
4
5 0.10
6 0.05
X : __0__ 1 ___ 2 ___ 3 _____ 4 ____ 5 ____ 6
p(x):0.12_0.18_0.30_0.15__0.10___0.10 ___0.05
Σ of p(x) = 1
(0.12 + 0.18 + 0.30 + 0.15 + x + 0.10 + 0.05) = 1
0.9 + x = 1
x = 1 - 0.9
x = 0.1
2.)
P(x = 4) = 0.10
3.)
P(x = 5) = 0.10
4.)
Σ(x * p(x)) :
(0*0.12) + (1*0.18) + (2*0.3) + (3*0.15) + (4*0.1) + (5*0.1) + (6*0.05) = 2.43
need the answer thank you
Answer:
Part A: 24
Part B: 256
Step-by-step explanation:
Part A
Without Repetition means that once you use a number out of the given four, it can't be used again.
So the first number can be chosen 4 different ways.The second number can be used 3 different ways.The third number can be chosen 2 different waysAnd the last number has only 1 way to be chosen.Answer: 4*3*2* 1 = 24
Part B
Part B allows repetition. That means that the numbers can be used as many as 4 times.
Answer: 4*4*4*4 = 256
Stephanie spends $15 each month to belong to a photography club. As a member of the club she can develop rolls of film for $2.50 each. Write and solve an equation to find the total amount Stephanie will spend this month if she develops 5 rolls of film.
Answer:
2.5*5= 12.5
15-12.5=2.5
So in order to pay the 15 dollars in the photography club, she only has to pay 2.50
Which of the following is equal to 7 1/4
Answer:
D. [tex]\sqrt[4]{7}[/tex]
Step-by-step explanation:
Answer:
d.
Step-by-step explanation:
The radius of a circle is 10 centimeters. What is the length of a 45° arc?
Measurement A equals 6X - 35°
Answer:
............the answer is 97
Using the inverse trig functions, find the measure of angle A to the nearest degree.
1. 43 degrees
2. 37 degrees
3. 90 degrees
4. 53 degrees
Solve.
D = HS, for s
Answer:
The answer is S=D/H
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
PLEASE HELP!!!
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x<44)?
O A. 0.16
O B. 0.84
O C. 0.975
O D. 0.025
To solve this problem, we can simply use the formula of normal distribution and substitute the values where required.
The value of P(x <= 44) is 0.025 which is option D
ProbabilityGiven the value of the mean, normal distribution and standard deviation, we can calculate where the value lies
Data;
Mean = 50S.D = 3X = 44But we know that
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Let's substitute the values of x, standard deviation and mean into the equation above
[tex]z = \frac{x-\mu}{\sigma} \\z = \frac{44-50}{3} =-2[/tex]
Solving this further;
[tex]P(z\leq -2) = \frac{1}{2} - \frac{1}{2}(0.9545)\\p(z\leq -2) = 0.025[/tex]
The value of P(x <= 44) is 0.025 which is option D
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Answer:
The answer is 0.16 other guy wrong
Step-by-step explanation:
Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror car
be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. Where should she place the
bulb to ensure a perfect beam of light?
(0
1)
(0, 4)
(1, 0)
(4, 0)
Answer:
Step-by-step explanation:
0,1
The bulb should be placed at (1,0).
What is Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
Given:
Suppose the equation of parabolic mirror is y² = 4ax.
The given data in the is x = 1 and y = 2
So, the value is y² = 4ax
4 = 4 a (1)
a = 1
So x = 1
and, the focus is at (x, y) is (1,0).
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Simplify. Express the answers using positive exponents
Answer:
C
Step-by-step explanation:
The simplified expression of the given expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex] is [tex]w^{16[/tex].
The expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex] can be simplified as follows:
= -5 * [tex]w^{2 - (-6)[/tex] * [tex]y^{-2 - 2[/tex] / -15 * [tex]w^{-6 - 2[/tex] * [tex]y^{2 - (-2)[/tex]
= -5 * [tex]w^8[/tex] * [tex]y^{-4[/tex] / -15 * [tex]w^{-8[/tex] * [tex]y^4[/tex]
= (-5 / -15) * ([tex]w^8[/tex] / [tex]w^{-8[/tex]) * ([tex]y^{-4[/tex] / [tex]y^4[/tex])
= 1 * [tex]w^{16[/tex] * [tex]y^0[/tex]
= [tex]w^{16[/tex]
Therefore, the simplified expression is w^16.
Here is a breakdown of the steps involved in the simplification:
The powers of w and y are combined using the distributive property of exponents.
The negative exponents are changed to positive exponents by dividing by the same base raised to the power of the negative exponent.
The factors of 5 and 15 are simplified.
The common factors of w and y are simplified.
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How is the area of a polygon defined?
Answer:
This simple formula: area = 1/2 x perimeter x apothem.
It means: Perimeter × the sum of the lengths of all the sides.
Hope it helps!<3
Answer:
The surface of the polygon is the total space or area that is limited by the borders of the polygon.
Step-by-step explanation:
This area is the amount of space limited by the borderlines and occupied by a polygon. By definition, the sides of the polygon are the same in size. The area of any polygon can be defined by dividing the polygon into triangles.
In the expression -3g + 12, how many terms are in the expression? *
1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2
Answer:
There are 1 terms.
5x+kr has 3 terms
Step-by-step explanation:
-3g has 1 term. 12 has none. so it is 1
5x has 1 term and kr has 2 terms and 2+1 is 3 terms.
what's six tenths divided by seven
Answer:
3/35
Step-by-step explanation:
Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?
Answer:
$3700
Step-by-step explanation:
Given that:
Initial amount = $1400
Amount deposited per week = 50
Amount after 47 weeks =?
Using the Arithmetic Progression relation :
Tn = A + (n - 1)d
Weekly deposit = d = 50
A = initial / first deposit = 1400
n = number of deposits
T47 = 1400 + (47 - 1)50
T47 = 1400 + (46)*50
T47 = 1400 + 2300
T47 = 3700
Answer:
$3750
Step-by-step explanation:
T47 = 3750
natalie went skydiving, she jumped out of the plane at 3,080 feet above the ground. at 1,710 feet above the ground her parachute deployed, and instead of continuing to fall, she rose 35 feet. at this point, how far is she from the plane?
Answer: 1675 feet
Step-by-step explanation: Starting at 3080 feet she falls 1710. We subtract 1710 from 3080 and get her position at 1370 feet above the ground. She then rises 35 feet. 1370+35 = 1405 feet above the ground.
We know that the plane is 3080 feet above the ground, and that Natalie is only 1405 feet above the ground. We just have to find the difference in their positions in order to find out how far she actually is from the plane. 3080-1405 = 1675 feet
PLZ HELP WILL GIVE THANKS+BRANLIEST! the length of the box is 2 1/2m, it is 1 9/16 times its width. what is the height of the box if its volume is 12 3/4m3?
Answer:
3 3/16
Step-by-step explanation:
Length of the box L= 2 1/2m= 1 9/16 W
Width of box W = W
Height H=?
Volume V= 12 3/4m3
If L= 5/2 = 25/16 W
W= 16 × 5/2× 25
W= 80/50= 8/5 = 1 3/5
V= LWH
Hence height =
51/4 = 5/2 × 8/5 × H
H= 51/4 × 10/40 =51/16
H= 3 3/16
How do I simplify 25.3(2.4)
Answer:
60.72
Step-by-step explanation:
you multiply 25.3 by 2.4
what is 0.246 divide by 6
Answer:
I believe answer is 0.041
Answer:
The answer is 0.041Step-by-step explanation:
I hope it helps ❤❤❤Write an Inequality to represent a graph.
Answer:
nun of the 3 you gave use so the last one the 4th
Step-by-step explanation:
Allan bought a sweater
for $78 and a shirt for
$29. How much more did
the sweater cost than
the shirt
Answer:
$49
Step-by-step explanation:
78 - 29 = 49
To get 49, I subtracted 29 from 78.
What is the surface area of the right cone below?
Answer:
B. 68pi
Step-by-step explanation:
to find the surface area of a right cone given radius and slant height:
let A = surface area
let r = radius
let l = slant height.
A=pi*r*l + pi* r^2
plug in the values
A=pi*52+pi*16= about 213.62
The surface area of the cone is 68π sq. units.
What is surface area?The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces. The surface area is the total of the areas of the faces.
Given that, the slant height and the radius of a cone is 13 units and 4 units respectively,
We need to find the surface area of the cone,
SA = π×r×l + π×r²
SA = π(4×13+16)
SA = 68π
Hence, the surface area of the cone is 68π sq. units.
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Alexandra spends 1/3 of her daysleeping and 3/8 of her day at work. What fraction of Alexandra’s day is occupied by sleep or work?
Answer:
17/24
Step-by-step explanation:
Change the denominators to match
8/24 + 9/24 = 17/24
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)
Answer:
69.04
Step-by-step explanation:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Zscore = 0.2
Find the corresponding height (x) ;
Using the relation :
Zscore = (x - m) / s
0.2 = (x - 69.0) / 0.2
0.04 = x - 69.0
0.04 + 69.0 = x
69.04 = x
Hence, the height of a man with a Zscore of 0.2 is 69.04
Nobody wants to answer my questions for brainliest
Do the boyz got me do?
Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram