Answer:
[tex]y \geqslant 2[/tex]
Step-by-step explanation:
1. Add 14 to both sides.
[tex]14y \geqslant 28[/tex]
2. Divide both sides by 14.
[tex]y \geqslant 2[/tex]
How to find inequalities
Answer:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Hope that helped happy holidays!
Juanita drive 40 miles in 48 minutes At this rate, she will drive _______ miles in 6 minutes
There are 120 boys in Morris middle school. What is the total number
students in Morris middle school?
Answer:
121
Step-by-step explanation:
trust me i got you wuth that 2016 throwback
PLEASEEE HELP ME PLEASEE!!
Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground and leaves the bat at an angle of 30∘ with the horizontal. Find the minimum initial velocity needed for the ball to clear the fence.
Answer:
[tex]125.4\ \text{m/s}[/tex]
Step-by-step explanation:
u = Initial velocity of baseball
[tex]\theta[/tex] = Angle of hit = [tex]30^{\circ}[/tex]
x = Displacement in x direction = 400 ft
y = Displacement in y direction = 15 ft
[tex]y_0[/tex] = Height of hit = 2.5 ft
[tex]a_y[/tex] = g = Acceleration due to gravity = [tex]32.2\ \text{ft/s}^2[/tex]
t = Time taken
Displacement in x direction
[tex]x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}[/tex]
Displacement in y direction
[tex]y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}[/tex]
The minimum initial velocity needed for the ball to clear the fence is [tex]125.4\ \text{m/s}[/tex]
If you went to a store
and you paid 80% of the
price of a jacket, what
percent was the jacket
discounted?
Answer:
is it 20% I'm not really sure
Answer:
$71.74
Step-by-step explanation:
Given:
Old price of the jacket = $ 80
Discount = 15 %
Therefore, discounted price =
Now, sales tax = 5.5 % on discounted price =
Therefore, the new price of the jacket after discount and paying sales tax is given as:
New price = Discounted price + Sales tax
New price = $ 68 + $ 3.74 = $ 71.74
So, the new price of the jacket is $ 71.74.
Help me plzzz
A photograph measures eleven inches wide and fourteen inches long. The picture is enlarged to fit on a wall. If the new larger picture is 231 inches wide,how long is it?
-294 inches
-412.5 inches
-234 inches
-181.5 inches
Answer:
294 inches
Step-by-step explanation:
Similar figures have congruent corresponding angles and proportional corresponding sides.
Which is the graph of the equation y-1 =
-1 =3(x-3)?
10
6.
-4.
(34)
2.
-10-85--22
2488 10x
-4
-6.
-8.
10
morang
Answer: 60
Just put 60 :)
what is the following quotient? 3sqrt60/3sqrt20
Answer:
Step-by-step explanation:
3 sqrt 60 / 3 sqrt 20
3 gets cancelled
(sqrt 20 × sqrt 3)/sqrt 20
sqrt 20 gets cancelled
Sqrt 3 is the answer
How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
i believe it only has one solution, which would be x=12.
Step-by-step explanation:
Answer:
write Then finding matrix the system as a matrix equation, solve a matrix equation by the inverse of the coefficient , S 4X-5v=lle 25x-ley=19 X-ley= 19
Step-by-step explanation:
its in answer
A sequence starts 10, 20, ...
A) Find the next two terms if it is arithmetic. Show/explain your process!
B) Find the next two terms if it is geometric. Show/explain your process!
Answer:
B Find the next two terms If it is geometric
i need help with this pleasee
Answers:
angle GFH = 60 degreesangle GHD = 110 degreesangle FGH = 10 degrees================================================
Explanation:
Angle CFG is given to be 120 degrees.
The angle to the right that's adjacent to this is angle GFH. The two angles add to 180
(angle CFG) + (angle GFH) = 180
(120) + (angle GFH) = 180
angle GFH = 180 - 120
angle GFH = 60 degrees
-----------------------
Angle XGA is 70 degrees. Note how it corresponds to angle XHC since both angles are in the same northwest quadrant of their four-corner angle configuration.
Corresponding angles are congruent due to the parallel lines AB and CD.
This means angle XHC is also 70 degrees.
We'll use the same idea as in the last section
(angle XHC) + (angle GHD) = 180
(70) + (angle GHD) = 180
angle GHD = 180 - 70
angle GHD = 110 degrees
--------------------
Focus on triangle FGH.
We want to find angle FGH, which is the same as angle G when focusing solely on triangle FGH and no other points or triangles.
In the previous two sections, we found
angle GFH = 60angle XHC = 110This can be shortened to
angle F = 60angle H = 110Again we must focus solely on triangle FGH and nothing else.
So we have
angle F = 60angle G = unknownangle H = 110Let's solve for G
F+G+H = 180 .... angles of a triangle always add to 180
60+G+110 = 180
G+170 = 180
G = 180-170
G = 10
For triangle FGH, angle G is 10 degrees.
This means angle FGH is 10 degrees.
Find the rate of change.
Answer:is 5 because it multiply by 5.
Step-by-step explanation:
Equation for (-2,-5) and (1,-3) in slope-intercept form
Answer:
y=2/3x-11/3
Step-by-step explanation:
First, find the slope.
m= y2-y1/x2-x1
-3+5/1+2 = 2/3
Slope is 2/3
Now, pick one of the coordinates and use that and the slope to put it in point-slope form.
Point slope form: y-y1=m(x-x1)
Let's use (1,-3)
y+3=2/3(x-1)
Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.
y+3=2/3x-2/3
y=2/3x-11/3
Answer:
y=2/3x-11/3
Step-by-step explanation:
use slope formula and slope intercept form. y=mx+b
can you help me please
.
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of squirrels to acorns? Enter your answer in reduced form.
Answer:
1 to 6
Step-by-step explanation:
the ratio is found by dividing 18 by 3 which is 6.
basically, one squirrel per 6 acorns
Q = x^2 - 15x + 56 = 0
Answer:
x = 8
x = 7
Step-by-step explanation:
Solving x2-15x+56 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -15
C = 56
Accordingly, B2 - 4AC =
225 - 224 =
1
Applying the quadratic formula :
15 ± √ 1
x = —————
2
So now we are looking at:
x = ( 15 ± 1) / 2
Two real solutions:
x =(15+√1)/2= 8.000
or:
x =(15-√1)/2= 7.000
Solve the system of equations by substitution.
3x+y = 10
7x+ 2y= 24
A. (2,4)
B. (2,-6)
C. (4,-2)
D. (2,-4)
If you can, explain step by step please :)
Answer:
C
Step-by-step explanation:
3x+y=10---(1)
7x+2y=24---(2)
From(1)
3x+y=10
y=10-3x---(3)
Substitute(3)into(2)
7x+2y=24
7x+2(10-3x)=24
7x+20-6x=24
x+20=24
x=24-20
x=4
Substitute x=4 into (1)
3x+y=10
3(4)+y=10
12+y=10
y=10-12
y=-2
Find the inverse: f(x) = 4 + 4/5 x.
Answer:
f−1(x)=5x4−5
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
Which graph represents z = (–3 + 4i) – (2 + i)
Answer:
D
Step-by-step explanation:
I got it right in edg2020
Your question is incomplete. But the following graph describes the equation you have given.
Which graph represents z = (–3 + 4i) – (2 + i).
The graph which represents z = (–3 + 4i) – (2 + i) is attached with this answer.
We have,
z = (–3 + 4i) – (2 + i)
Now,
Simplify this given expression of complex number ;
i.e.
z = (–3 + 4i) – (2 + i)
z = -3 + 4i - 2 - i
We get,
z = -5 + 3i
Now,
We will graph this z = -5 + 3i complex number on cartesian coordinate,
So,
In cartesian coordinate when we graph any complex number then the constant value i.e. (-5) is represented on the x-axis and the imaginary value i.e. (3i) will be on the y-axis.
Learn more about the complex number here:
https://brainly.com/question/10251853
#SPJ10
determine whether the relationship is a function or not a function.
Answer
not a function
Step-by-step explanation:
Answer:
kk
Step-by-step explanation:
ok
3. Find the annual salary for Kathy if she is paid $2.100 every other week.
Annual Salary = Biweekly Salary * 26
Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams
Answer:
the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284
Step-by-step explanation:
Given that
mean weight = 3831 grams,
variance = 108,900
sample size n = 65
the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?
Now standard error of mean = √( 108900 / 65 ) = 40.9314
z = +/- (45/40.9314)
z = +/-1.0994
so
P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )
= 0.8642 - 0.1358
= 0.7284
Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284
Can anyone please help me with the last question I’m struggling!
The equation is x=-6
Step-by-step explanation:
In standard form the equation is y=4
And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a
so that is why the equation is x=-6
Answer:
= -5
Step-by-step explanation:
please help me if you get it right i will give you
Answer:
6(2 + 7)
Step-by-step explanation:
GFC of 12 and 42: 6Divide in steps 3 and 4 below12 ÷ 6 = 242 ÷ 6 = 7Re-write the expression: 6(2 + 7)I hope this helps!
The graph show the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, how many pens does it sell?
just look at the graph fam its 18 pens
ok so i know that you want brainleist but pls answer first?!
Step-by-step explanation:
[tex]Expression: \frac{40}{y - 16} [/tex]
[tex]When \: y=20, \: the \: value \: of \: the \: expression \: is \: \frac{40}{4} = 10 [/tex]
Item 2
Find the area of the trapezoid.
b1=4,b2=8,h=2
ASAP TIMED WILL GIVE 35 POINTS>
Answer:
12 units squared.
Step-by-step explanation:
The formula for the area of a trapezoid is 1/2(base1+base2)*height. First, add the two bases together. 4+8=12. Then multiply that number by both 1/2 and the height, 2. 1/2*2*12 equals 12 units squared.
Write the prime factorization of 12. Use exponents when appropriate and order the factors from least to greatest (for example,22•3•5)
Answer:
the answer is 2×2×3 I think
What is 8(3 + a) = 64
a =
Answer: a = 3
Step-by-step explanation: