Answer:
P=x(-x+90)Step-by-step explanation:
Step one:
given
Price
[tex]P= -20x^2+1800x[/tex]
where P is the maximum profit
x is the price of one shirt
Step two:
To rewrite the expression let us first divide through by 20
[tex]P= \frac{-20x^2}{20} +\frac{1800x }{20}\\\\P=-x^2+90x[/tex]
Factoring x out we have
[tex]P=-x^2+90x\\\\P=x(-x+90)[/tex]
Hence the rewritten expression equation for the price is
P=x(-x+90)
Which of the following best explains the value of Sine StartFraction pi Over 3 EndFraction on the unit circle below?
A unit circle is shown. A radius with length 1 has an angle measure of StartFraction pi Over 3 EndFraction
sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the vertical distance from the x-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFraction = StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the horizontal distance from the y-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the horizontal distance from the y-axis on the graph.
Answer:
a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
Step-by-step explanation:
sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.
What is the trigonometric ratio of unit circle?
Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.
The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).
Also, the terminal side intersect the circle at (x, y). Thus;
sin (π/3) = opposite/hypotenuse = opposite/1
Thus;
sin (π/3) = opposite
Also, the length opposite the angle is the vertical distance from the x-axis on the graph.
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what slope line passes through the points (-5,3) and (-3,8)
Answer:
5/2
Step-by-step explanation:
i aint never seen two pretty best friends, its always one em gotta be ugly
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the slope of a line passing through two given points, we use the formula:
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
where m is the slope and[tex](x_1, y_1) ~and ~(x_2, y_2)[/tex] are the coordinates of the two points.
Plugging in the values given, we get:
[tex]m = \frac{8-3}{-3-(-5)} = \frac{5}{2}$$[/tex]
Therefore,
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
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Find an expression which represents the difference when (-3x-4y) is subtracted from (x+6y) in simplest terms
9514 1404 393
Answer:
4x +10y
Step-by-step explanation:
Indicate the subtraction, use the distributive property, collect terms.
(x +6y) -(-3x -4y) = x +6y +3x +4y
= (x +3x) +(6y +4y)
= 4x +10y
Answer:
2y - 4x
Step-by-step explanation:
equation: x + 6y - 3x - 4y
combine like terms: x -3x + 6y - 4y
add/subtract: -4x + 2y
switch: 2y - 4x
I hope this helped, please mark Brainliest, thank you so much!!
Charlie graphs the equation y= –12x+2 .
Select all statements about Charlie's graph that are true.
The graph is a straight line.
The line does not pass through the origin.
The line passes through the point (0, –2) .
The slope of the line is 12 .
The y-intercept of the line is 2.
Answer:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
Step-by-step explanation:
I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line). In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)
Hope this helped you
Which of the following sequences is not a geometric sequence?
50, 25, 12.5, 6.25, …
6, -12, 24, -48, …
0, 2, 4, 6, …
-1, -3, -9, -27, …
Step-by-step explanation:
the third sequence(0,2,4,6) is not a geometrical sequence
this may help you(:
Answer:
0, 2, 4, 6, … because the following sequence is arithmetic not geometric
I need help with this question.
Answer:
[tex]\displaystyle S_{27}=675[/tex]
Step-by-step explanation:
The sum of N consecutive natural numbers is given by:
[tex]\displaystyle S_N=\frac{N}{2}(F+L)[/tex]
We need to find the sum of the natural numbers between 12 to 38.
To calculate the required sum we have F=12, L=38, but we don't have the value of N.
From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.
Substituting in the formula:
[tex]\displaystyle S_{27}=\frac{27}{2}(12+38)[/tex]
[tex]\displaystyle S_{27}=\frac{27}{2}(50)[/tex]
[tex]\displaystyle S_{27}=27*25[/tex]
[tex]\mathbf{\displaystyle S_{27}=675}[/tex]
Ixl help me please and thanks!!!!
Seeing that both triangles are side by side and share a side, we know that that side of both triangles is congruent.
Then when you look at the angles, you will see that one on each triangle has one curved line. This one curved line shows that these angles are congruent.
There is then the two curved lines you can find on both triangles as well. This shows that both those angles are congruent.
With this information, you should be able to tell that two angles of the triangles are congruent, and one side of both triangles are congruent, with the order that these are shown on the triangles being an angle, then a side, then another angle, the answer would be ASA, or angle, side angle.
Parker is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=175p+400 can be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
9514 1404 393
Answer:
400; building and equipment fixed cost
Step-by-step explanation:
The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.
The y-intercept is 400. It is the daily fixed cost of the building and equipment.
Answer:
The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.
Step-by-step explanation:
Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.
Have a good day :)
Manuel se ha gastado 2/8 partes de la paga en ropa y 1/12 parte en dulces. ¿Qué fracción de la paga le queda?, ¿Si le dieron 45€ de paga, cuanto ha gastado y cuanto le queda?.
Responder:
2/3; 30 €
Explicación paso a paso:
Fracción gastada en ropa = 2/8
Fracción gastada en dulces = 1/12
Fracción restante:
1 - (Fracción gastada en ropa + fracción gastada en dulces)
1 - (2/8 + 1/12)
L. C. M de 8 y 12 = 24
1 - (6 + 2) / 24
1 - 8/24
1 - 1/3
= (3 - 1) / 3
= 2/3
Si la paga era de 45;
Cantidad restante: 2/3 de 45
= 90/3
= 30 €
A scratch-off lottery ticket has 14 concealed spaces among which are 4 symbols saying "Win!". The person who bought the ticket scratches the black yucky stuff off 3 spaces, winning an instant $10 if all three are winners. What's the probability of winning this game? I'm confused about this please help!
Answer:
Step-by-step explanation:
since this has something to do with chance im guessing maybe percentage of winnign this
so
4/14 x 100 so 28.57% probability of winning this game i believe
Exact answer as a fraction = 1/91
Approximate answer in decimal form = 0.010989
Approximate answer in percent form = 1.0989%
=====================================================
Explanation:
Let's think of the problem another way.
Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.
One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).
---------
We have two questions we need to answer:
How many possible combinations are there? How many combinations are a winner?We'll use the nCr combination formula
[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]
We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.
If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.
I'll list the steps in the attached image below (to save space here).
This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.
---------
That wraps up question 1. Now onto question 2.
We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.
note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.
So this means there are 4 ways to win the game.
------------------------------------
In summary so far, we found
There are 364 ways to play the gameThere are 4 ways to win the gameThis means the probability of winning is 4/364 = 1/91
Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%
every 5 days alma rides her skateboard in the park every 4 days she bikes to her best friends house how often does alma do both
Answer:
In what time frame. It asks how often she does both but does that mean in a week or another span of time?
Step-by-step explanation:
IM BAD AT MATH HELP ME
Answer:
bro i cant see the question clearly please say in comments or say again
Consider the line y = 2x–4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Parallel slope = 2
This is because the original line has slope 2. Parallel lines have equal slopes.
--------------------------
Perpendicular slope = -1/2
The original slope 2 or 2/1 turns into -1/2 after flipping the fraction and the sign. Note the original slope and perpendicular slope multiply to -1. This is true for any pair of perpendicular lines where neither line is vertical.
Answer:
the slope of the parallel line is 2x
the slope of line perpendicular is -1/2
Step-by-step explanation:
What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7
Answer:
2
Step-by-step explanation:
-1-11/-4-2 = -12/-6 = 2
The required slope for the linear relationship is -2.
Slope to be determine for table x = -4 2 5, y = 1 -1 -7 showing linear relationship.
Slope of function is defined as the rate at which function is increasing.
Here, slope
[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]
Thus, the required slope for the linear relationship is -2.
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Write an absolute value inequality to represent each situation.
Two friends are hiking in Death Valley National Park. Their elevation ranges
from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie
Point. Let x represent their elevation in feet.
Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
HELP NOW 15 Points!!!!!!!
Which expression is not equivalent to the other three?
2x + 2+ 2x + 3x – 8
4 + 7x – 2
–2 + 5x + 2x – 4
8x – x – 6
Answer:
4+7x-2
Step-by-step explanation:
i dont know how nit is the anwser put i got it right
Find the measure of each angle (help me please)
Answer:
<1=39 degrees
<2=141 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps:)
plz mark as brainliest
Answer:
x-38+x+64=180(supplementry angle)
2x+26=180
2x=180-26
2x=154
x=154÷2
x=77
Again,1st angle
x-38
77-38
39
2nd angle,
x+64
77+64
141
give the quadrant each set of coordinates lies in
1 , 5
-2 , 4
-3 , 2
4 , -4
18/24 greater than or less than 55%
Answer:
I think 55°% is less
i need help on this one
Answer:
gfgfgfgfgfg
Step-by-step explanation:
Answer:
X= -4
Step-by-step explanation:
Write the equation of the line in slope intercept form given:
m = -6, b = 0
Find the measure of each numbered angle.
angle 1 is
angle 2 is
angle 3 is
Answer: 360
253
Step-by-step explanation:
Please help, explain if you know???????
Answer:
4.5 units²
Step-by-step explanation:
(b × h) (.5)
(3 × 3) (.5)
Passes through (-6,-1) and is parallel to y=-2/3x+1
Answer:
y=-2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
y-y=m(x-x1)
y-(-1)=-2/3(x-(-6))
y+1=-2/3x-4
-1 -1
y=-2/3x-5
Answer:
[tex]y=-\frac{2}{3}x -5[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]
m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:
[tex]y=-\frac{2}{3} x+b[/tex]
Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:
[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]
Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :
[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]
Use inverse operations to isolate the variable. Subtract 4 from both sides:
[tex]-1-4=4-4+b\\\\-5=b[/tex]
The y-intercept is -5. Insert:
[tex]y=-\frac{2}{3}x -5[/tex]
:Done
f(x)=2x+3 g(x)=x-4 Find (f+g)(2)
Please help asappp
Answer:
(f+g)(2)=5
Step-by-step explanation:
Subsitute 2 in for x in both functions. Then add the answers of the functions together.
what is 20*5 yay plz help me anwer this
Answer: 100. Can I get a Brainlest.
100 is the answer
Multiply.....
God Bless
which measurement is a reasonable height for a child? Explain your choice
A.
[tex]1.39 \times {10}^{2} cm[/tex]
B.
[tex]8.3 \times {10}^{5} cm[/tex]
C.
[tex]1.48 \times {10}^{1} m[/tex]
Answer:
A
Step-by-step explanation:
because a is 139cm and child is 139 cm not 830000 or not 1.48
Some paint is made by mixing 3 cans of white paint to 7 cans of green paint. How many cans of white would you mix with 21 cans of green to keep the colour the same?
Please help!! I’ve been stuck on 3 & 4!
Find the length of C using the Pythagorean theorem
Answer:
14^2+48^2=2500 sqrt2500= 50 c=50
Step-by-step explanation:
The length of c using the Pythagorean theorem is 50 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is ABC which is right angle triangle
AB=c
BC=14 and AC=48
We have to find the value of c
By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
AB²=AC²+BC²
c²=48²+14²
c²=2304+196
c²=2500
Take square root on both sides
c=√2500
c=50
Hence, the length of c using the Pythagorean theorem is 50 units.
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