Answer: Hundreds and tens place values (the two copies of '6')
Explanation:
We're looking for where the digits are the same, which would be those two copies of '6'
The first 6 on the left is in the hundreds place. It represents 600
The other 6 is in the tens place, and it represents 60
The jump from 60 to 600 is "times 10".
The Boeing777-300ER flies between Auckland and Los Angeles. It has 246 Economy
class seats, 50 Premium Economy seats and 44 Business Premier seats. Out of the 340
seats in total, what percentage are Economy seats?
Answer:
72.35%
Step-by-step explanation:
246/340 = .723529
Just multiply it by 100 to get the percentage
.723529 x 100 = 72.3529
HELP PLEASE 100 POINTS
Answer:
Step-by-step explanation:
That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.
The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2
Since it upside down, the formula is y = -(x - a)^2. A couple of other things are true.
a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.
Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2
That's all preliminary. The actual question is, what does the discriminate look like?
y = -4(x^2 - 2x + 1)
y = -4x^2 + 8x - 4
a = - 4
b = 8
c = - 4
sqrt(b^2 - 4ac)
sqrt(8^2 - 4(-4)(-4) )
sqrt(64 - 64) = 0
The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.
A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs 20. For what price did he purchase the T-shirt?
Answer:
purchased it for 1600
Step-by-step explanation:
[tex].88x-y\:=\:-16\:\\\:.9x-y\:=\:20[/tex]
Out of a class of 150 one third opted for Germany two fifth for Italian and rest for French. find how many opted for French
Answer:
40
Step-by-step explanation:
Total is 150
Germany=1/3 *150 = 50
Italian= 2/5 * 150 = 60
Total - Germany- Italian= French
150 - 50 -60= 40
sinx+sin3x=0
sin5x=-cos2x
Answer:
We have, sinx+sin3x+sin5x=0
∴(sinx+sin5x)+sin3x=0
∴2sin(
2
x+5x
)cos(
2
5x−x
)+sin3x=0
∴2sin3xcos2x+sin3x=0
∴sin3x(2cos2x+1)=0
Either sin3x=0 or 2cos2x+1=0
i.e. sin3x=0 or cos2x=−
2
1
Now, cos2x=−cos
3
π
∴cos2x=cos(π−
3
π
)
∴cos2x=cos
3
2π
∴sin3x=0 or cos2x=cos
3
2π
3x=nπ,n∈Z or 2x=2mπ±
3
2π
where m∈Z
Hence, x=
3
nπ
or x=mπ±
3
π
, where n,m∈Z.
I need some help with this !!
Answer:
0.6
Step-by-step explanation:
Cos(A) = adjacent / hypotenuse
The adjacent side is the smaller of the two sides making up A that is not the hypotenuse
adjacent = 30
hypotenuse = 50
cos(A) = 30/50 = 0.6
Answer:
This is how you do it by finding the perpendicular and base
Which property of equality was used to solve this equation?
–5x=4
4
I=
OA.
addition property of equality
OB.
subtraction property of equality
OC. multiplication property of equality
OD
division property of equality
Answer:
D. division property of equality
Step-by-step explanation:
The division property of equality tell us basically to divide an equation, we have to divide on both sides.
-5x=4
to isolate x, we would divide -5 on both sides and that would be
-5x/5=4/-5
making x= -4/5, thus make D the correct answer choice
Please Help Asap Its Pre-Calculus
The point (−2, 2) is a solution to which of the following systems?
y > −2x + 2 and y > x + 5
y < x + 2 and y > x − 1
y < 2x + 8 and y ≥ −x − 3
y < 2x + 3 and y ≥ −2x − 5
The point [tex](-2,2)[/tex] is a solution of the system given by [tex]y<2x+8[/tex] and [tex]y \geq -x-3[/tex]
Given point: [tex](-2,2)[/tex]
Given systems:
[tex]y>-2x+2[/tex] and [tex]y>x+5[/tex] [tex]y<x+2[/tex] and [tex]y>x-1[/tex] [tex]y<2x+8[/tex] and [tex]y \geq -x-3[/tex] [tex]y<2x+3[/tex] and [tex]y \geq -2x-5[/tex]To find: The system to which the given point is a solution
If a point is a solution of a system, then the coordinates of the point satisfies all the equation(s) or inequation(s) of the system. So, we can substitute the x & y coordinates of the given point into the inequalities of each of the given systems and check if the inequalities are satisfied by the coordinates of the point.
(1) [tex]y>-2x+2[/tex] and [tex]y>x+5[/tex]
Substitute the coordinates of the point [tex](-2,2)[/tex] into the inequalities of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y>-2x+2[/tex] to get,
[tex]2>-2(-2)+2[/tex]
[tex]2>4+2[/tex]
[tex]2>6[/tex]
The above inequality is clearly impossible and thus, the coordinates of the given point does not satisfy this inequality.
This implies that the given point is not a solution of this system.
(2) [tex]y<x+2[/tex] and [tex]y>x-1[/tex]
Substitute the coordinates of the point [tex](-2,2)[/tex] into the inequalities of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y<x+2[/tex] to get,
[tex]2<-2+2[/tex]
[tex]2<0[/tex]
The above inequality is clearly impossible and thus, the coordinates of the given point does not satisfy this inequality.
This implies that the given point is not a solution of this system.
(3) [tex]y<2x+8[/tex] and [tex]y \geq -x-3[/tex]
Substitute the coordinates of the point [tex](-2,2)[/tex] into the inequalities of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y<2x+8[/tex] to get,
[tex]2<2(-2)+8[/tex]
[tex]2<-4+8[/tex]
[tex]2<4[/tex]
This is a true inequality. Then, the given point satisfies the first inequality of the system.
We will now check if the point satisfies the second inequality of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y \geq -x-3[/tex] to get,
[tex]2 \geq -(-2)-3[/tex]
[tex]2 \geq 2-3[/tex]
[tex]2 \geq -1[/tex]
This is also a true inequality. Then, the given point also satisfies the second inequality of the system.
Thus, the given point is a solution of this system.
(4) [tex]y<2x+3[/tex] and [tex]y \geq -2x-5[/tex]
Substitute the coordinates of the point [tex](-2,2)[/tex] into the inequalities of the system.
Put [tex]x=-2,y=2[/tex] in [tex]y<2x+3[/tex] to get,
[tex]2<2(-2)+3[/tex]
[tex]2<-4+3[/tex]
[tex]2<-1[/tex]
The above inequality is clearly impossible and thus, the coordinates of the given point does not satisfy this inequality.
This implies that the given point is not a solution of this system.
Thus, we can see that the coordinates of the given point [tex](-2,2)[/tex] satisfies the inequalities of the third system only.
Then, the point [tex](-2,2)[/tex] is a solution of the system given by [tex]y<2x+8[/tex] and [tex]y \geq -x-3[/tex].
Learn more about geometric solutions of system of linear inequalities here:
https://brainly.com/question/17174433
Erynn glued k seashell on a photo frame. She made 5 such photo frames. How many seashells did she use?
Seashells glued on 1 photo frame = k
So, seashells glued on 5 photo frame
= Seashells glued on 1 photo frame × 5
= k × 5
= 5k
So, Erynn used 5k seashells.
Find the area of a rectangle that is 19 ft. by
21 ft.
Help please
The park is 400 feet. The length of the park is 50longer than the width . what is the length of the park
Answer: 125 ft.
Step-by-step explanation:
Assuming the perimeter of the park is 400 ft, the equation can be represented as
2l + 2w = 400
Since we know that the width is 50 ft shorter than the length, using algebra, you replace the variable w, with
2l + 2(l-50) = 400
Then, solve for variable l, or length
2l +2l - 100 = 400
4l = 500
l = 125
Now, plug in l and solve for w
2(125) + 2w = 400
250 + 2w = 400
2w = 150
w = 75
2(125) + 2(75) = 400
250+150 = 400
400=400
l = 125, w = 75
So the length is 125 ft
Answer:
125
Step-by-step explanation:
400 is perimeter!
50+w = Length
w = width
Solve:
50+ w + w +w + w + 50 = 400
100 + 4w = 400
4w = 300
w = 75
if w is 75, then length is = 75 +50
Length = 125
Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=
Answer:
33/14
Step-by-step explanation:
[tex] - 10 \frac{2}{7} + ( - 4 \frac{4}{11} )[/tex]
[tex] = - \frac{72}{7} \div - ( \frac{48}{11} )[/tex]
[tex] = \frac{72}{7} \times \frac{11}{48} [/tex]
[tex] = \frac{3}{7} \times \frac{11}{2} [/tex]
[tex] = \frac{33}{14} [/tex]
stan dreamcatcher
answer the question pls
Answer:
Question number 8 u place the number 1 line before -1 on the left.
Step-by-step explanation:
cuhcuhcuhcuchcuhcuhc
Hello pls Asap plsssss
WILL GIVE BRAINLEST!Two machines are printing shirts. The first machine can produce 2.400 shirts in 150 minutes. The second machine can produce 2.400 shirts in 120minutes. If the two work together, how long will it take them to produce 6,480 shirts? If necessary, round your answer to the nearest whole number.
Step-by-step explanation:
see the answer in attached picture
pls mark me as brainliest pls
Answer:
If two machine works together it takes 180 minute to complete 6480 shirts
Step-by-step explanation:
2400 ÷ 150 = 6
So here,
1st machine produces 20 shirts per minutes
let, x=minutes for shirt's production
Now,
(16+20)x=6480
36x=6480
x=6480/36
Therefor, x=180 minutes
What is the answer to 5/8 - 1/4^2
Answer:
9/16
Step-by-step explanation:
5/8 - 1/4^2
Exponents first
5/8 - 1/16
Get a common denominator
5/8 *2/2 - 1/16
10/16 - 1/16
9/16
2.5 x 10^8/ 7.5 x 10^2 i need the answer to this in scientific notation lol, thanks :)
Answer: 3.3 * 10^5
This is approximate. The more accurate value is 3.333 * 10^6 but even that isn't exact because the '3's after the decimal point go on forever
===========================================================
Work Shown:
(2.5 * 10^8)/(7.5 * 10^2)
(2.5/7.5) * 10^(8-2)
0.3333 * 10^6 .... this is approximate
3.333 * 10^(-1) * 10^6
3.333 * 10^(-1+6)
3.333 * 10^5
3.3 * 10^5
The equation of the line in this graph.
The length of a rectangular photo is 1 centimeter less than three times its width. If the area of the photo is 102 square centimeters, find the length and width of the
photo.
The length is
and the width is
(Type whole numbers.)
Answers:
Length = 17Width = 6======================================================
How to get those answers:
Let w be the unknown width in centimeters. This variable is some positive real number. This means w > 0 which will be useful later.
The length is "1 cm less than 3 times its width" and it tells us the length is defined by the expression 3w-1. Whatever w is, we triple it to get 3w and then subtract 1 to get the final length.
Multiply the length and width to get the area 102
length*width = area
(3w-1)*w = 102
3w^2-w = 102
3w^2-w-102 = 0
We could guess and check our way to factoring this, but that's not very efficient. The quadratic formula is the better option. It may seem a bit messy, but it's a more direct path that doesn't involve guessing.
[tex]w = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\w = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-102)}}{2(3)}\\\\w = \frac{1\pm\sqrt{1225}}{6}\\\\w = \frac{1\pm35}{6}\\\\w = \frac{1+35}{6}\ \text{ or } \ w = \frac{1-35}{6}\\\\w = \frac{36}{6}\ \text{ or } \ w = \frac{-34}{6}\\\\w = 6\ \text{ or } \ w \approx -5.667\\\\[/tex]
We ignore the second solution (w = -5.667 approximately) because we stated earlier that w > 0. In other words, a negative length does not make sense, so that's why we ignore it.
-----------------
If w = 6 cm is the width, then 3w-1 = 3*6-1 = 18-1 = 17 cm is the length.
Note that length*width = 17*6 = 102 which is the proper area we want. This confirms the answers.
PLEASE HELP ASAP.....
Answer:
3√3
Step-by-step explanation:
to get x, we divide 6 by 2 and get 3
therefore, we multiply the short leg by √3
the answer finally equals to 3√3
Answer:
[tex]\boxed {\boxed {\sf y=3}}[/tex]
Step-by-step explanation:
We are asked to find y, a missing side in a triangle.
1. Special Triangle RulesThis triangle is special. There is a 30-degree angle and a right angle or 90 degree angle, the unlabeled angle is 60 degrees. This is a 30-60-90 triangle so the sides are always in a specific relationship.
The side across from the 30-degree angle is a, the hypotenuse is 2a, and the side across from the 60-degree angle is √3 a.
y is across from the 30 degree angle, so it is equal to a. However, we have to find a. We are given one side that measures 6. It is the hypotenuse because it is across from the right angle. Therefore, it is equal to 2a.
2a= 6a is being multiplied by 2. Divide both sides by 2 to solve for a.
2a/2= 6/2 a= 6/2 a=3y is across from the 30-degree angle, so it is equal to a or 3.
2. Trigonometric Functions
We can also solve using the 3 main trigonometric functions.
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacenty is opposite the 30-degree angle and 6 is the hypotenuse, and we will use sine.
[tex]sin \theta= \frac{opposite}{hypotenuse}[/tex]
[tex]sin (30)= \frac{y}{6}[/tex]
y is being divided by 6. The inverse operation of division is multiplication. Multiply both sides by 6 to solve for y.
[tex]6 * sin(30)= \frac{y}{6} *6[/tex]
[tex]6 * 0.5 = y[/tex]
[tex]3= y[/tex]
The missing side, y , is equal to 3.
4x + 7 + 4
I need helppp pls
Answer:
4x+11
Step-by-step explanation:
you have to add the like terms,in this case the like terms are 7 and 4.4x isn't a like term cause it has a variable.
so you just have to add 7+4
4x+11
I hope this helps
Step-by-step explanation:
hope this may help you tq
A person can run 3 miles per minute. (Convert to miles per hour to decide.)
O True
O False
it depends upon a persons pace a average pace is 9-10 mins
I'll give brainliest :)
Are the lines y = –x – 4 and 5x + 5y = 20 perpendicular? Explain.
Yes; the product of their slopes is −1.
Yes; their slopes are equal.
No; their slopes are equal.
No; their slopes are not equal
Answer:
C
Step-by-step explanation:
In the equation y = -x - 4, the gradient is -1.
While in the second equation,
5x + 5y = 20
y = -x + 4
So the gradient is -1 too
Both sides are not perpendicular to each other because if you apply the formula, m1m2 = -1, and if substitute both gradient, (-1)(-1) = 1 ≠ -1
Therefore, no they are not perpendicular but parallel instead.
Answer: C
Step-by-step explanation:
Look above fool
Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the estimate using front-end estimation?
Answer:
–21.87 ÷ 4.79
≈ -20 ÷ 5
≈ -4
Step-by-step explanation:
front end estimation means to round off to the most left digit.
eg 12 ≈ 10
What are the zeros of the polynomial function f(x) = x3 − 10x2 + 24x?
Answer:
x=0 x=4 x=6
Step-by-step explanation:
f(x)=x^3 − 10x^2 + 24x
Factor out the greatest common factor
f(x)=x(x^2 − 10x + 24)
Factor inside the parentheses
f(x)=x(x-4)(x-6)
Setting equal to zero
0 = x(x-4)(x-6)
Using the zero product property
x=0 x-4 = 0 x-6 =0
x=0 x=4 x=6
what would the equation, slope, and point be for this graph?
Answer:
slope is Δy/Δx =
-5/1 = -5
the B intercept is 4
y = -5x + 4
Step-by-step explanation:
Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.
Write equation of a line in slope intercept form with the given information p=(1,2) m=4
Answer:
[tex]y=4x-2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
We're given that the slope is 4. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=4x+b[/tex]
Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:
[tex]2=4(1)+b\\2=4+b\\b=-2[/tex]
Therefore, the y-intercept is -2. Plug this back into [tex]y=4x+b[/tex] as b:
[tex]y=4x+(-2)\\y=4x-2[/tex]
I hope this helps!
Find the area of the sector in
terms of pi.
90°
24
Area = [?]
TT
Answer:
288*pi
Step-by-step explanation:
Area=2*pi*(24)^2*(90/360)=288*pi
Find the value of x
Answer:
C
Step-by-step explanation:
Using exterior angle property, we have 97+4x+7=17x+13. 13x=91, x=7
