Answer:
Step-by-step explanation:
Notice that the difference is in the y-intercept. The first equation has a y-intercept of 0 since y = 4x + 0, the second has a y-intercept of 1 since
y = 4x + 1. In other words, the graph is translated up 1 unit to cross at (0,1) instead of (0,0)
Based on a sample survey, a tutoring company claims
that 90% of their students pass their classes. Out of 300 students, how
many would you predict will pass?
Answer:
270
multiply the number by the percentage-
300 x .90= 270 students
2y + 4 - xy - y + x² + 6y - 3x²=
Answer:
7y-2x^2+4+xy
Step-by-step explanation:
what is the distance
Answer:
A) 10 units
Step-by-step explanation:
distance formula:
d=the square root of (x2-x1)^2 + (y2-y1)^2
(-5,4)
(3,-2)
d=the square root of (3-[-5])^2 + (-2-4)^2
d=the square root of 64+36
d=the square root of 100
d=10
82 is 66 percent of what?
Answer: 80.49.
Can u give me brainliest
Step-by-step explanation:
Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]
Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]
[tex] \text{redius} : 3[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]
we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by
[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]
general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:
[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]
where:
(h,k) is the centrer is the rediousnotice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious
indentifying centre and redious:
rearrange:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]
cancel 11 from both sides:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]
add 4 to the both sides so that the equality don't affect:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]
simplify addition:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]
once again to complete the square add 16 to both sides which yields:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]
complete the squares by using (a+b)²=a²+2ab+b² pattern:
[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]
we can still rewrite it to figure out the redious and the centre:
[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]
therefore we obtain:
centre:(h,k)=(-2,-4)redious:r=3and we are done!
A researcher is interested in the effect of alcohol consumption on reaction times. Participants are assigned to one of three possible conditions: nonalcoholic beer group, 1 beer group, 2 beer group. After drinking, each participant is run through a driving simulator that measures their reaction time to unexpected obstacles (e.g., a child running into the street after a ball) that randomly appear during the simulation. In this example, what is the independent variable
Answer:
The three different possible conditions ;
nonalcoholic beer group, 1 beer group, 2 beer group
Step-by-step explanation:
The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.
In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.
I need help now please help
Answer:
the answer is 2) 10<10
Step-by-step explanation:
10<10 has to be the answer? why?
10<10) 10 cannot be greater than 10
the correct the inequality for 10<10 would to change it to 10 = 10
Can i have brainliest?
Find the value of X......
Answer:
720 = x +133+138+148+95+105
x = 101
In the coordinate plane , the point X(3, - 4) translated to the point X’ prime (4,-5) Under the same translation , the points Y(7, 0) and Z(5, - 6) are translated to Y’ prime and Z’ prime , respectively , What the coordinates of Y^ prime and Z
Answer:
Under the same translation:
Y'(8,-1)
Z'(6,-7)
a stadium shaped like a hemisphere with a radius of 150 feet. last month the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. what was the total cost for utilities last month
The formula for volume of a hemisphere is: V = 2/3 * π * r³
Volume = 2/3 x 3.14 x 150^3
Volume = 7,065,000 cubic feet.
Multiply the cost per cubic foot by the volume:
7,065,000 x 0.05 = 353,250
The total cost was $353,250
A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rational number represents his position relative to sea level? Show your work. A. 168 feet B. 2.8 feet C. -2.8 feet D. -168 feet
Given:
A deep sea diver started at sea level (0 feet).
Rate of diving = 5.6 feet per minute.
Time = [tex]\dfrac{1}{2}[/tex] hour
To find:
The rational number that represents his position relative to sea level.
Solution:
We know that,
1 hour = 60 minutes
[tex]\dfrac{1}{2}[/tex] hour = 30 minutes
A deep sea diver, dove at a rate of 5.6 feet per minute.
Distance covered in 1 minute = 5.6 feet
Distance covered in 30 minute = 30 × 5.6 feet
= 168 feet
The diver dove 168 feet in [tex]\dfrac{1}{2}[/tex] hour. Since it is below the sea level, therefore it should be negative.
So, the rational number that represents his position relative to sea level is [tex]-168[/tex] feet.
Therefore, the correct option is D.
What is the surface area of a cone with a radius of 6 meters and a slant height of 8 meters? Round to the nearest tenth. *
10 points
263.8 m2
904.0 m2
452.0 m2
1,055.2 m2
Answer: 263.8m2
Step-by-step explanation:
Formula: S.A=Pi x radius2 + Pi x radius x slant height
What is the factorization of the polynomial below? 3х2 + 30x + 48
Answer:
3(x+2)(x+8)
Step-by-step explanation:
Answer:
[tex]3(x+8)(x+2)[/tex]
Step-by-step explanation:
[tex]3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)[/tex]
How do you write 3x to the -5 power using only positive exponents?
NEED HELP ASAP|!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
thanks for freepoints
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please help me with the question
Answer:
x = 12
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle.
Then the product of the external part of the secant and the entire secant is equal to the square of the measure of the tangent, that is
3x = 6² = 36 ( divide both sides by 3 )
x = 12
Which is the graph of x2/9-y2/4=1
Answer:
Step-by-step explanation:
Write the exponential expression
26 squared
Answer:
26²
Step-by-step explanation:
26 x 26 = 676
Help plz so I don't get phone taken
1) d/r = t
2) P/3 = s
3) 8.2cm
4) C/2pi = r
5) P/3r = q
Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week
and he sold 204 erasers this week.
Answer:
$900
Step-by-step explanation:
He makes $288 the first week and $612 the second week the total amount of money he makes is $900
Answer:
96*3= $288 from last week
204*3= $612 from this week
The total is $900 from both weeks
Step-by-step explanation:
Hope this is what you were asking!
pleae answer this fast asap
Answer:
I think its (2, 1) .
Step-by-step explanation:
the 2 represents the x axis
the 1 represents the y axis
NEED HELP ASAP FREE BRAINLIST
Answer:
13.6
Step-by-step explanation:
[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]
find the area of each parelogram
Answer:
A. 8
B. 10
C. 8
Step-by-step explanation:
If this helped brainliest would be appreciated!
HELP PLEASE HELP I WILL MARK BRAINLEST 3. Elena types approximately 50 words per
minute. How many minutes will it take her to
type an essay with a maximum of 800 words?
Inequality
Solution
Answer:
if she types 50 words per minute it would be 16 minutes for her to get to 800 words
Step-by-step explanation:
Answer:
16 minutesStep-by-step explanation:
800 divided by 50 = 16
Is 16t - 3t equivalent 3t - 16t
Answer:
No, 16t -3t equals 13t while 3t - 16t equals -13t
Answer:
No,
16t= 16x2=32
3t=3x2=6
32-6=26
3t=3x2=6
16x2=32
6-32=-26
Step-by-step explanation:
t=2?
Order least to greatest
4 3/7, 2 5/8, 2.25, 3.75
Order greatest to least
5.21, 5 1/2, 4.6, 3 3/5
Answer #1
2.25,2 5/8, 3.75, 4 3/7
Answer #2
5 1/2, 5.21, 4.6, 3 3/5
2(x + 10) = 26
Solve for x
Answer:
3
Step-by-step explanation:
Which of the following expressions are equivalent?
A. –3(3x + 5) and –9x + 5
B. 7(6x – 1) and 42x – 7
C. –6(4x – 3) and –6x
D. 5(2x + 3y) and 25xy
Answer:
B. 7(6x – 1) and 42x – 7 is equivalent
Step-by-step explanation:
A. –3(3x + 5) and –9x + 5
=–3(3x + 5)=-9x-15 not equivalent
B. 7(6x – 1) and 42x – 7
7(6x – 1)=42x-7 equivalent
C. –6(4x – 3) and –6x
=–6(4x – 3)=-24+18 not equivalent
D. 5(2x + 3y) and 25xy
=5(2x + 3y)=10x+15y not equivalent.
Write the equation of the circle with a center at (11,6) and a radius of 6.
Answer:
(x-11)^2 + (y-6)^2= 6^2
Step-by-step explanation:
Answer:
(x - 11)² + (y - 6)² = 36
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (11, 6 ) and r = 6, then
(x - 11)² + (y - 6)² = 6² , that is
(x - 11)² + (y - 6)² = 36
If the hypotenuse of a right triangle is 8 and one leg is 6, what is the length of the other leg?
Answer:
5.3
Step-by-step explanation:
pythagorean theory :,)
[tex]a^{2} + b^{2} = c^{2}[/tex]
the legs are [tex]a[/tex] and [tex]b[/tex], while the hypotenuse (the longest side) is [tex]c[/tex]
fill in the equation with the information u have and simplify so
[tex]a^{2} + 6^{2} = 8^{2}[/tex]
[tex]a^{2} + 36 = 64[/tex]
now get the variable ([tex]a[/tex]) by itself
[tex]a^{2} + 36 = 64\\[/tex]
(subtract 36 on both sides)
[tex]a^{2} = 28[/tex]
[tex]a = 5.3[/tex]
square root of both sides ≈ 5.3
(you could also multiply the square root of 7 by 2)