Answer:
400
Step-by-step explanation:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 125, 128, 135, 144, 150, 160, 162, 180, 192, 200, 216, 225, 240, 250, 256, 270, 288, 300, 320, 324, 360, 375, 384, 400, 405, 432, 450, 480, 500, 512, 540, 576, 600, 625, 640, 648, 675, 720, 750, 768, 800, 810, 864, 900, 960, 1000, 1024, 1080, 1125, 1152, 1200, 1250, 1280, 1296, 1350, 1440, 1500, 1536, 1600, 1620, 1728, 1800, 1875, 1920, 2000, 2025, 2048, 2160, 2250, 2304, 2400, 2500, 2560, 2592, 2700, 2880, 3000, 3072, 3200, 3240, 3375, 3456, 3600, 3750, 3840, 4000, 4050, 4096, 4320, 4500, 4608, 4800, 5000, 5120, 5184, 5400, 5625, 5760, 6000, 6144, 6400, 6480, 6750, 6912, 7200, 7500, 7680, 8000, 8100, 8192, 8640, 9000, 9216, 9600, 10000, 10125, 10240, 10368, 10800, 11250, 11520, 12000, 12288, 12800, 12960, 13500, 13824, 14400, 15000, 15360, 16000, 16200, 16384, 16875, 17280, 18000, 18432, 19200, 20000, 20250, 20480, 20736, 21600, 22500, 23040, 24000, 24576, 25600, 25920, 27000, 27648, 28800, 30000, 30720, 32000, 32400, 32768, 33750, 34560, 36000, 36864, 38400, 40000, 40500, 40960, 41472, 43200, 45000, 46080, 48000, 49152, 50625, 51200, 51840, 54000, 55296, 57600, 60000, 61440, 64000, 64800, 67500, 69120, 72000, 73728, 76800, 80000, 81000, 81920, 82944, 86400, 90000, 92160, 96000, 98304, 101250, 102400, 103680, 108000, 110592, 115200, 120000, 122880, 128000, 129600, 135000, 138240, 144000, 147456, 153600, 160000, 162000, 163840, 165888, 172800, 180000, 184320, 192000, 202500, 204800, 207360, 216000, 221184, 230400, 240000, 245760, 256000, 259200, 270000, 276480, 288000, 294912, 307200, 320000, 324000, 331776, 345600, 360000, 368640, 384000, 405000, 409600, 414720, 432000, 442368, 460800, 480000, 491520, 512000, 518400, 540000, 552960, 576000, 614400, 640000, 648000, 663552, 691200, 720000, 737280, 768000, 810000, 819200, 829440, 864000, 884736, 921600, 960000, 1024000, 1036800, 1080000, 1105920, 1152000, 1228800, 1280000, 1296000, 1327104, 1382400, 1440000, 1474560, 1536000, 1620000, 1658880, 1728000, 1843200, 1920000, 2048000, 2073600, 2160000, 2211840, 2304000, 2457600, 2560000, 2592000, 2654208, 2764800, 2880000, 3072000, 3240000, 3317760, 3456000, 3686400, 3840000, 4096000, 4147200, 4320000, 4423680, 4608000, 5120000, 5184000, 5529600, 5760000, 6144000, 6480000, 6635520, 6912000, 7372800, 7680000, 8294400, 8640000, 9216000, 10240000, 10368000, 11059200, 11520000, 12288000, 12960000, 13271040, 13824000, 15360000, 16588800, 17280000, 18432000, 20480000, 20736000, 22118400, 23040000, 25920000, 27648000, 30720000, 33177600, 34560000, 36864000, 41472000, 46080000, 51840000, 55296000, 61440000, 66355200, 69120000, 82944000, 92160000, 103680000, 110592000, 138240000, 165888000, 184320000, 207360000, 276480000, 331776000, 414720000, 552960000, 829440000, 1658880000
Instructions: Given the following constraints, find
the maximum and minimum values for z.
x + 3y < 0
Constraints:
x - y = 0
3x - 7y < 16
Optimization Equation: z = -x + 5y
Maximum Value of z: 0
Minimum Value of z:
Answer:
The answer is below
Step-by-step explanation:
Given the constraints:
x + 3y≤ 0; x - y ≥ 0 and 3x - 7y ≤ 16.
We have to first plot the constraints using the geogebra online graphing tool. Plotting the constraints gives the solution as:
A(0, 0), B(3, -1) and C(-4, -4).
Next using the optimization equation: z = -x + 5y
At point A(0, 0); z = -0 + 5(0) = 0
At point B(3, -1); z = -3 + 5(-1) = -8
At point C(-4, -4); z = -4 + 5(-4) = -24
Hence the maximum value of Z is 0 and the minimum value of Z is -24.
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Answer:
s4 = 270
18+36+72+144 = 270
-- convergent sums to a single value
Step-by-step explanation:
Find one rational number between 1 and 2.
There are infinitely many rational no.s between two no.s
one rational number between 1 and 2 is
11/10
In how many different ways is it possible to answer an 8-question true/false quiz
Answer:
16
Step-by-step explanation:
8 questions
2 answers on each question
8*2=16
30 POINTS PLEASE HELP
2. Given the list of measures of EXTERIOR angles (missing one) of a polygon, find the missing angle:
a. ___, 92°, 28°, 55°, 75°, 55°
b. ___, 71°, 69°, 40°, 62°
c. ___, 120°, 38°, 80°
d. ___, 90°, 60°, 40°, 30°, 60°, 30°
Answer:
a,55
b,118
c,122
d,50
Step-by-step explanation:
sum of exterior angles of a polygon ends up to 360°. add the numbers given in each case and subtract from 360° to get the missing angle.
A hundred chickadees can eat 100 kg of seeds in 100 days. How many kg of seeds can 10 chickadees eat in 10 days?
Answer:
1 kg
Step-by-step explanation:
Number of chickadees = 100
Quantity of seed eaten = 100 kg
Number of days = 100
Quantity of seeds each chickadee eats per day =Number of chickadees ÷ Quantity of seed eaten ÷ Number of days
= 100 ÷ 100 ÷ 100
= 1 ÷ 100
= 0.01 kg of seed
How many kg of seeds can 10 chickadees eat in 10 days?
= Quantity of seeds each chickadee eats per day × number of chickadee × number of days
= 0.01 kg × 10 × 10
= 1 kg
10 chickadees eat 1 kg of seeds in 10 days
can somebody please help me with this (geometry)
In a restaurant there are 5 possible pizza toppings chicken, pineapple olives mushrooms and beef Freddie picks two different toppings on his pizza
Answer:
please the question is not done
Step-by-step explanation:
please don't take this the wrong way
Which sequence is geometric? 1, 5, 9, 13, ... 2, 6, 8, 10, ... 5, 7, 9, 11, ... 4, 8, 16, 32, ...
Answer:
4, 8, 16, 32
Step-by-step explanation:
4, 8, 16, 32 is a geometric sequence. The value multiplies by 2 every time.
Hello I’m trying to solve this problem I just don’t know how to do it.
BUT if someone could help and show me step by step that would be great I’m not trying to ask for the answer
I’m just trying learn how to solve it and so step by step there no rush Thank you
Step-by-step explanation:
To evaluate the proposed, the comprehension of linear data is required,
Slope: The rise/run or the accumulative unit distance between two differentiated points on a linear.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
1. To solve the following systems, first convert the Slope-Intercept formatting to Standard (General) form:
y = -5/3x + 3
3(Y = -5/3x + 3) Product by the denominator to eliminate the fraction.
3y = -5x + 9. Add 5x to the other expression as in standard form, the slope must be positive.
5x + 3y = 9 <== Standard (General) Form.
Y = 1/3x - 3
3(y = 1/3x - 3). Product by the denominator to eliminate the fraction.
3y = x - 9. Subtract by x to place the slope within the other expression of the equation.
-1(-x + 3y = -9). Now, product by -1 to contribute to a positive slope.
X - 3y = 9 <=== Standard (General) Form.
2. To solve for the x and y values, utilize the system of substitution:
1(5x + 3y = 9)Multiply equations by opposite slope to the other, and a positive to other.
-5(X - 3y = 9)
Evaluate,
+ 5x + 3y = 9. Now, add the systems.
-5x + 15y = -45
——————————
18y = -36
Y = -2
Thus, now that y is equated to -2, substitute that to either equation.
X - 3y = 9
X - 3(-2) = 9
X + 6 = 9
X = 3
Thus, x = 3, y = -2. This is their intersection point.
To plot these lines on the graph, execute the following,
Y = -5/3 x + 3
Start with the y-intercept. Draw a point on number 3 on the y-axis (vertical).
Starting with that point, go down 5 units, right 3 units.
* Remember, if there is a negative rise, go down. Positive, go up. If there is a negative run, go left. Positive, go right.
* Keep going 5 units down, right 3 units, until the graph allows.
2. Y = 1/3 x - 3
Similarly, conduct the same steps:
Starting with the y-intercept, draw a point on -3 on the vertical, or y-axis.
Beginning on that point, go up 1 unit, right 3 units.
Keep going up 1 units and 3 units right until the graph permits.
*I hope this helps.
Dwight wants to build a new rectangular beet farm, but he is first making a list of items he needs to purchase from the store. Dwight decides he will get 160 feet of
fencing to go around the farm that will have a length of 50 feet.
a. Find the width of the farm that Dwight wants to make. Include units.
b. Dwight decides that he will plant 1 beet seed for every square foot of land in this farm and he does not want to purchase any extra seeds. Exactly how many beet seeds should he purchase? Include units.
Answer:welcome
Step-by-step explanation: sorry I jsit really needed the points
7.) Construct a function with a rate of change of and an initial value of -3.
(put your equation in slope-intercept form y = mx +b)
Answer:
The function would be y = (1/3)x - 3
Step-by-step explanation:
The slope-intercept form is written in the form of y = mx + b where we leave "y" and "x" alone and plug in values for "m" and "b".
"m" is the rate of change while "b" is the initial value.
In this case, the rate of change given is 1/3. Therefore, m = 1/3.
The initial value given is -3. Therefore, b = -3
To figure out the function, all we have to do is plug in the values that we found for both m and b into the slope-intercept form:
y = mx + b
y = (1/3)x + (-3)
When we simplify this equation, we get:
y = (1/3)x - 3
Help would be appreciated!!!
Answer:
td/(r+e) = a
Step-by-step explanation:
t a
---- = -----
r+e d
Using cross products
t*d = a(r+e)
Divide each side by (r+e)
td/(r+e) = a
helppppppppppppppppppppppppppppp
Answer:
Factor then solve to find the complex solutions.
x
=
π
+
2
π
n
, for any integer
n
Step-by-step explanation:
out of 500 bulbs, 0.2 are defective. how many are defctive
Answer:
100
Step-by-step explanation:
0.2*500=100
∛3x+7=∛2x+1
solve it please
Answer:
x = -6
Step-by-step explanation:
cube each side :
3x + 7 = 2x + 1
solve for x:
x = -6
PLZ HELP ME GUYS WITH THIS EQUATION: Manuel will choose between two restaurants to purchase pizzas for his party. The first restaurant charges a delivery fee of $2 for the entire purchase and $10 per pizza. The second restaurant charges a delivery fee of $5 for the entire purchase and $9 per pizza. Let x be the number of pizzas purchased.
Answer:
x = 3 pizzas
Step-by-step explanation:
Not sure what the question is asking, but I am assuming that the question is asking how many pizzas needs to be ordered for the restaurant ordered to equal each other.Set up equation: [tex]10x + 2 = 9x + 5[/tex]Simplify the equation:[tex]x = 3[/tex]
What is another name for a relation that has each element in its domain paired with exactly one element in its range?
Find the missing side lengths
Answer:
Does the answer help you?
the points 9a b,3 lie on the line y=2 out of 3 x-7
Answer:
a=1/10, b=17/6
Step-by-step explanation:
IF you mean the points (9,a), (b,3) lie on the line y=2/(3x-7),
then a=2/(3*9-7)=1/10;
3=2/(3b-7)
b=17/6
Can someone help me with this math homework please!
Common difference = 2nd term - first term = -22.5-(-18)= -22.5+18 = -4.5
PLEASE HELP I BEG ASAP UWILL GET MARKED BRANLIEST
Answer:
3 C
4 B
5 B
6C
Step-by-step explanation:
3. the negative of the functiin reflects the original function on the x axis
4. multiplying by a number greater than 1 increases the slop of the original function
5. subtracting from x translates the function to the right
6. subtracting from f(x) translates the function down
Determine the number of real solutions of -2x^2+ 5x – 3 = 0.
2
1 (double root)
5
0
Answer:
[tex]{ \tt{ - 2 {x}^{2} + 5x - 3 = 0 }} \\ { \tt{2 {x}^{2} - 5x + 3 = 0}} \\ { \tt{(2x - 3)(x - 1) = 0}} \\ { \tt{x = \frac{3}{2} \: and \: 1}}[/tex]
Answer:
2 i think
Step-by-step explanation:
sorry if im wrong
y=-1/2x +7
Line k is perpendicular to the line defined by the equation
above and passes through the point (4,0). Which of the
following points also lies on line k?
A) (0,8)
B) (2,-4)
C) (2,-2)
D) (2,8)
Answer:
B; (2,-4)
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
So from the question, when we look at the given equation, its slope is -1/2
mathematically, when two lines are perpendicular, the product of their slopes is -1
thus;
m1 * m2 = -1
m2 * -1/2 = -1
-m2 = -2
m2 = 2
The general equation form is;
y-y1 = m(x-x1)
where (x1,y1) = (4,0)
y-0 = 2(x-4)
y = 2x - 8
So, now we look at the point that will work for this equation
For the line that will work, if we substitute its x-value, we get the y-value
Let us take a look at option B
y = 2(2) -8 = 4-8 = -4
we can see that (2,-4) works
calculate the value of x in circle O. *show your work*
Answer:
Step-by-step explanation:
The central angle is twice as big as any angle sharing the endpoints with the central angle of a chord where the angle is not below the smaller sector.
2*62 = x
x = 124
PLEASE HELP I WILL CHOOSE BRAINLIEST
The density of gold is 19.3 grams/cubic centimeter. What is the mass of a gold block with dimensions: 4cm x 3cm x 12 cm?
0.13 grams
2779.2 grams
1621.2 grams
7.46 grams
Answer:
2779.2
Step-by-step explanation:
need help with this problem
Answer:
OA⊥OC
∴∠AOB+BOC= 90°
5x+8+6n-6=90
11x+2=90
x=90-2/11
x=88/11
x=8
∠BOC=6x-6
=6(8)-6
=48-6
∠BOC=42°
------------------------------
Hope it helps...
Have a great day!!
Answer:
[tex]<BOC = 42[/tex]
Step-by-step explanation:
In this problem, it is given that lines (AO) and (OC) are perpendicular. This means that when the lines intersect, the four angles formed each have a measure of (90) degrees. As per the given diagram, angles (<AOR) and (<ROC) add up to make (<AOC). Thus, one can form the following equation and solve for (x).
[tex](<AOR) + (<ROC) = (<AOC)[/tex]
Substitute,
[tex](6x-6)+(5x+8)=90[/tex]
Simplify,
[tex]11x+2=90[/tex]
Inverse operations,
[tex]11x+2=90[/tex]
[tex]11x=88\\\\x=8[/tex]
Substitute this into the equation for the measure of angle (<BOC) to find the numerical angle measure:
[tex]<BOC = 6x-6\\x = 8\\\\= 6(8)-6\\\\=48-6\\\\=42[/tex]
What's the maximum area you can get for a rectangle with two sides along the x and y axes, and the opposite vertex in the first quadrant along the line y = 20 – 4x?
Answer:
Remember that a triangle rectangle of length L and width W has an area:
A = W*L
In our rectangle, we have two sides along the x and y axes.
So one of the vertices of our triangle rectangle is the point (0, 0)
And the other vertex, is along the line:
y = -4x + 20
So, if the opposite vertex is at the point:
(x₁, y₁)
We can define the length as the difference between the x-values of each vertex.
L = (x₁ - 0) = x₁
And the width, similarly, as:
W = (y₁ - 0) = y₁
Such that the point (x₁, y₁) is a solution for the equation y = -4x + 20, then we have:
y₁ = -4x₁ + 20
Then we can rewrite the width as:
W = -4x₁ + 20
Now, we can write the area of our rectangle as:
A = (x₁)*(-4x₁ + 20)
A = -4*x₁^2 + 20*x₁
Now we want to maximize the area, notice that the area is given by a quadratic equation with a negative leading coefficient.
Thus, the maximum will be at the vertex of that quadratic equation.
Remember that for a general quadratic equation:
y = a*x^2 + b*x + c
The x-value of the vertex is:
x = -b/(2*a)
so, in our case, the x-value of the vertex will be:
x₁ = -20/(-4*2) = 20/8 = 5/2
Now we can evaluate this in our area equation:
A = -4*(5/2)^2 + 20*(5/2) = 49.36
This is the maximum area of the rectangle.
The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. What does t represent? the number of seconds after the rocket is released the initial height of the rocket the initial velocity of the rocket the height of the rocket after t seconds The function V(r) = four-thirds pi r cubed can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
Answers:
t is the number of seconds after the rocket is released
V(r) is the volume of the ball with radius r.
====================================================
Explanation:
There isn't much to say in terms of explanation. These variables are simply definitions.
A cardboard envelope for a compact disc is a square with an area of 171.61 square centimeters. What are the dimensions of the envelope?
The dimensions of the cardboard envelope are length, 13.1 cm and width, 13.1 cm.
Since the cardboard envelope for a compact disc is a square with an area of 171.61 square centimeters, the area, A of the cardboard envelope = 171.61 cm².
Since the cardboard envelope is a square, its area is A = L² where L = length of side the cardboard envelope = dimension of cardboard envelope.
To find the dimensions of the cardboard envelope, we take the square-root of the area of the cardboard envelope.
Since A = L²
L = √A
substituting the value of A = 171.61 cm² into the equation, we have
L = √A
L = √(171.61 cm²)
L = 13.09 cm
L ≅ 13.1 cm
Since the length of side of the cardboard envelope is 13.1 cm and its is a square, both dimensions are equal. That is, its length and width are equal.
So, the length of the cardboard envelope is 13.1 cm and the width of the cardboard envelope is 13.1 cm
So, the dimensions of the cardboard envelope are length, 13.1 cm and width, 13.1 cm.
Learn more about cardboard envelopes here:
https://brainly.com/question/15194712