Answer:
biggest size is 115 inches.
smallest size is 40 inches
Step-by-step explanation:
the biggest size will be
Tmax= 2(168)/3 + 3
= 115 inches..
the smallest size
Tmin= 168/4 - 2= 40 inches
Simplify the following expression by distributing. Then, combine any like terms.
2.5(4p−16)−8p+10 =
Answer:
2p-30
Step-by-step explanation:
10p-40-8p+10
=2p-30
Determine which choice best shows the distributive property of multiplication.
Question 1 options:
7 × 9 = 9 × 7
7 × (9 + 6) = (7 × 9) + (7 × 6)
7 × (9 × 6) = (7 × 9) × 6
1 × 7 = 7
Answer: Identify and use the commutative properties for addition and multiplication. Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11. The example below shows how the associative property can be used to simplify. The sum is 14. 7 + 2 + (8.5 + (−3.5)). 7 + 2 + 5. 9 + 5. 14. Group 8.5 and –3.5=5
Step-by-step explanation:
Answer:
7 × (9 + 6) = (7 × 9) + (7 × 6)
Step-by-step explanation:
Given points A(2,1,3) and B(0,5,0), find a point C in the xy-plane that creates an isosceles right triangle such that:_______
a. AB and BC are the legs of the right triangle
b. AB is the hypotenuse of the right triangle (for part ii, just doing all the set-up work is sufficient; you do not need to solve and find the points)
Answer:
a.)Point C will be either (4.82, 7.41) or ( -4.82, 2.59)
b.) -x² + 2x + 6y - y² - 5= 0 , 8y - 4x = 11
Step-by-step explanation:
As given A(2,1,3) and B(0,5,0)
a.)
We have to find C in the xy-plane
⇒ C is of the form (x, y, 0) ( Because in xy plane , z coordinate is zero)
Now, given AB and BC are the legs of the right triangle .
AB = (0, 5, 0) - (2, 1, 3) = ( -2, 4, -3)
BC = (x, y, 0) - (0, 5, 0) = ( x, y-5, 0)
As AB and BC are legs of triangle
⇒AB is perpendicular to BC
⇒(AB).(BC) = 0
⇒( -2, 4, -3).( x, y-5, 0) = 0
⇒ -2x + 4(y-5) -0 = 0
⇒ -2x + 4y- 20 = 0
⇒ -x + 2y- 10 = 0
⇒ 2y = 10 + x
⇒ y = 5 + [tex]\frac{x}{2}[/tex] ......(1)
As ABC is making an isosceles right triangle
It means two sides of the triangle are equal
Now,
|AB| = √(-2)² + (4)² + (-3)² = √4+16+9 = √29
|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²
Now,
AS AB = BC
⇒|AB| = |BC|
⇒|AB|² = |BC|²
⇒29 = (x)² + (y-5)²
⇒29 = (x)² + (5 + [tex]\frac{x}{2}[/tex] -5)²
⇒29 = (x)² + ( [tex]\frac{x}{2}[/tex] )²
⇒29 = x²( 1 + [tex]\frac{1}{4}[/tex] ) = x²( [tex]\frac{5}{4}[/tex] )
⇒ x² = [tex]\frac{116}{5}[/tex] = 23.2
⇒ x = 4.82 , -4.82
⇒y = 7.41 , 2.59
so, Point C will be either (4.82, 7.41) or ( -4.82, 2.59)
b.)
As given AB is the hypotenuse of the right triangle
S, AC and CB will perpendicular to each other
Now,
AC = (x, y, 0) - ( 2, 1, 3) = ( x-2, y-1, -3)
CB = (0, 5, 0) - (x, y, 0) = (-x, 5-y, 0)
As, AC and CB is perpendicular
⇒(AC).(CB) = 0
⇒( x-2, y-1, -3).(-x, 5-y, 0) = 0
⇒(x-2)(-x) + (y-1)(5-y) - 0 = 0
⇒-x² + 2x + 5y - y² - 5 + y = 0
⇒-x² + 2x + 6y - y² - 5= 0 ..........(2)
As ABC is making an isosceles right triangle
It means two sides of the triangle are equal
Now,
|AC| = √(x-2)² + (y-1)² + (0-3)² = √(x-2)² + (y-1)² + 9
|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²
Now,
AS AC = BC
⇒|AC| = |BC|
⇒|AC|² = |BC|²
⇒(x-2)² + (y-1)² + 9 = (x)² + (y-5)²
⇒x² + 4 - 4x + y² + 1 - 2y + 9 = x² + y² + 25 - 10y
⇒ 4 - 4x + 1 - 2y + 9 = 25 - 10y
⇒14 - 4x - 2y = 25 - 10y
⇒10y - 2y - 4x = 25 - 14
⇒8y - 4x = 11 ........(3)
Now, we have 2 equations
-x² + 2x + 6y - y² - 5= 0 , 8y - 4x = 11
Solve these equations to find x, y
Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/12
Step-by-step explanation:
1/2 multiplied by 1/6 equals 1/12
37. Simplify to find x:
3-(4 X 3) = x
(483) - 7
Answer:
-0.003 x 2+.195 x -.483=0. -0.003x^2+.195x-.483=0 2,3,3,3,5,3,2,3,
Prime factors. 1000,200,1000
square root of (x-(65/2))2 is (x-(65/2))2/2 = (x-(65/2))1 = x-(65/2)
Step-by-step explanation:
−0.003 x 2+.195 x −.483=0. Enter an ... -0.003x^2+.195x-.483=0 ... {Left,Right}. 2, 3, 3, 3. 5, 3, 2, 3. Product of all. Prime Factors, 1000, 200, 1000 ... Step 7 : ... Note that the square root of (x-(65/2))2 is (x-(65/2))2/2 = (x-(65/2))1 = x-(65/2)
Express in simplest radical form
Answer:
gg
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2 x 2 =4
y=5, 12+4y= what is the answer
Answer:
x2
Step-by-step explanation:
x2 82
Answer: 32
Step-by-step explanation: since y=5, 4y= 20. 12+20=32
Find the vertex of the parabola defined by the following equation. 3x^2-12x+11
Answer:
y= 3(x-2)^2-1
Step-by-step explanation:
What is the inverse function of f(x) = x
PLS HELP ASAP y = -3x + 1
y = x -7
Answer:
x=-1/3
x=7
Step-by-step explanation:
Not sure if this correct tho
Answer:
x=2
y=-5
Step-by-step explanation:
substitute y=-3x+1 in y=x-7
[tex]-3x+1=x-7[/tex]
[tex]-3x-x=-7-1[/tex]
[tex]-4x=-8\\x=2[/tex]
Substitute x=2 in any one of the given equations
y=x-7=2-7=-5
Please help don’t understand
Answer:
first you choose one of the varibles to solve for so im going to start with s you would add them up and subtract them that way there on the other side of the = sighs so you equation would be 8+2d+3=-7s then you add the 8 and the 3 and you would get 11+2d=-7s i dont know what you do after this i think this is the answer.
Answer:
the other guy is right trust him
I need help
are all intergers a closed or open whoel number when subtracting or adding them together
Answer:
Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D
Step-by-step explanation:
Given the equation y
- x+1
The x intercept is:
The y intercept is:
Answer:
−x+y+1
Step-by-step explanation:
Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use
Answer:
The kind of hypothesis testing we can use is z-test for means
Step-by-step explanation:
Given that;
sample mean x" = 500
standard deviation σ = 100
sample size n = 6
What kind of hypothesis testing do we use?
There are two cases where z-test can be use;
first, when we know the population standard deviation or variance
and secondly, when the population size is more than 30.
So from the question, the population standard deviation was given, which is 100.
Since we know the S.D, it meets the first condition.
Therefore, The kind of hypothesis testing we can use is z-test for means
Find the perimeter of the following shape:
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce. She can sell each ton of coffee for $2,400. The cost of producing her first ton of coffee is $600, and the second ton costs $1,200. Each additional ton of coffee costs $600 more to produce. How many tons of coffee should Sarah produce, and what is the total cost of her coffee production
Answer:
Sarah should produce four tons of coffee and total cost for four ton is $6,000.
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Selling price per ton = $2,400
Cost of production is increasing by $600 for each ton.
So, Cost of production first ton = $600
Cost of production for second ton = $600 + $600 = $1,200
Similarly, Cost of production for third ton = $1,200 + $600 = 1,800
Cost of production of fourth ton = $1,800 + $600 = $2,400
Here, Sarah can produce coffee till selling price = cost of production.
As, cost of production of four ton = selling price, then Sarah can produce only four tons of coffee.
Total cost for four ton coffee = $600 + $1,200 + $1,800 + $2,400
= $6,000
Sarah can produce 4 tons of coffee and the total cost of the production is $6000 and this can be determined by using the arithmetic operations.
Given :
Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce.She can sell each ton of coffee for $2,400. The cost of producing her first ton of coffee is $600, and the second ton costs $1,200. Each additional ton of coffee costs $600 more to produce.The following steps can be used in order to determine the total amount of coffee (in tons) should Sarah produce and the total cost of her coffee production:
Step 1 - Remember that Sarah can produce coffee unitil selling price is equal to the cost of production.
Step 2 - According to the given data, each additional ton of coffee costs $600 more to produce.
Step 3 - From the above steps, it can be concluded that Sarah can produce 4 tons of coffee because the cost of 4 tons of coffee is equal to the selling price.
[tex]600\times 4 = $2400[/tex]
Step 4 - So, the total cost of producing four tons of coffee is:
Total Cost = 600+ 1200 + 1800 + 2400
Total Cost = $6000
For more information, refer to the link given below:
https://brainly.com/question/1957976
A trawler caught 2/3 ton of fish on Monday and 1/2 on Tuesday. What was the total amount of fish caught?
Answer:
1 1/6
Step-by-step explanation:
(1/2×3/3)+(2/3×2/2)=
3/6+4/6=
3+4/6=7/6 or 1 1/6
3+4 is the numerator over 6
Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.
Answer:
8y + 7
Step-by-step explanation:
add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7
Can someone help me on this?
Answer:A
Step-by-step explanation: Its the first one because it has to first start with a fraction and 2/11 is smallest and it keeps on getting higher.
Hope this helps :)
Answer:
A
Step-by-step explanation:
hope this helps lol...
PLEASE HELP ME 12 POINTS
Answer:
Streamers cost 2.50 and balloons cost 1.25.
Step-by-step explanation:
Pls mark brainliest.
Answer:
Balloon : $1.25
Streamer : $ 2.50
Step-by-step explanation:
Form simultaneous equations.
Let streamer be represented by ------------s
Let balloons be represented by ------------b
So the equations will be;
3s + 2b = 10 ----------------i
2s + 1b = 6.25---------------ii
Make the terms with s equal by multiplication
[3s + 2b = 10 ]2
[2s + 1b = 6.25]3
Perform subtraction
6s + 4b = 20
6s + 3b = 18.75
b = 1.25 ---------iii
Use iii in ii as;
2s + 1b = 6.25
2s + 1.25 = 6.25
2s = 6.25 - 1.25
2s = 5.00
s= 5.00 / 2
s= 2.5
Hence ; a balloon is $1.25 and a streamer is $2.5
imma look what dis is
Answer:
its loading but ill help!
Step-by-step explanation:
HELP MIDDLE SCHOOL QUESTION
Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?
Answer:
3 7/10 miles
Step-by-step explanation:
divide miles by hours
11/5 ÷ 7/12 = 11/5 · 12/7 = 132/35 or 3.7 mph
Simplify the expression.
- 2.6f +0.2f - 15 - 3
i need help with this, anyone?
Answer: -2.4f-18
Step-by-step explanation:
Add 0.2f to -2.6f then subtract 3 from -15
100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amount she should pay?
Answer the question or don't type at all.
Answer:
$78 i think
Step-by-step explanation:
20%=20/100
20/100x65=13
13+65=78
$78
Studies suggest that people with a high sense of humor tolerate negative events better than people with low sense of humor. Let x represent the intensity of a negative life event. To find the depression level for people
Answer:
explain
Step-by-step explanation:
A particle traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?
Answer:it took the particle 50,000,000 seconds to travel the specified distance
Step-by-step explanation:
Given that distance = Rate x time
Distance traveled by Particle= 9.0×10^12 meters
and rate= 1.8×105 meters per second
Time taken for particle to travel the specified distance using our equation that
distance = Rate x time
time = Distance / Rate
=9.0×10^12 meters/ 1.8×105 meters per second
=50,000,000 seconds
R the midpoint of overline OP and overline QR perpendicular to OP In the diagram below. 20 in. 26 in. Q Find the length of QR .
Answer:
24
Step-by-step explanation:
Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed. a. What is the probability that their offspring will have pink skin? b. What is the probability that the first and second off- spring will have black skin? c. If these pigs produce a total of three piglets, what is the probability that two will be pink and one will be black?
Answer:
[tex]P(Pink) = \frac{1}{4}[/tex]
[tex]P(Both\ Black) = \frac{9}{16}[/tex]
[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black
Step-by-step explanation:
Represent the pink skin with P and the black skin with B.
Since black skin is dominant to pink skin, there will be more occurrence of B than P
The punnet square for the breeding of the two pigs is then represented as:
[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]
Solving (a): Probability of Pink
In the above square, there is only 1 occurrence of P out of a possible of 4.
So, the probability is:
[tex]P(Pink) = \frac{n(P)}{4}[/tex]
[tex]P(Pink) = \frac{1}{4}[/tex]
Solving (b): Probability that first and second are black
In the above square, there is only 3 occurrence of B out of a possible of 4.
[tex]P(Black) = \frac{n(B)}{4}[/tex]
[tex]P(Black) = \frac{3}{4}[/tex]
So, the probability that both are black is:
[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]
[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]
[tex]P(Both\ Black) = \frac{9}{16}[/tex]
Solving (c): Probability of two pink and 1 black
This is calculated as:
[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]
[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]
[tex]Probability = \frac{3}{64}[/tex]
A) The probability that their offspring will have pink skin is; ¹/₄
B) The probability that the first and second off- spring will have black skin is;
9/16 or 56.25%
C) The probability that two will be pink and one will be black If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%
Mendel's law of dominanceTo answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.
Now in this question, we are told that;
black skin colour is dominant to Pink skin colour in pigs.Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"
Now when the heterozygous pigs specified as "Pp" are crossed, we have;
Pp × Pp = PP, Pp, Pp, pp
where;
PP and Pp denotes black pigs is denoted pp denotes pink pigs
(a) From the 4 cross possibilities above;
Probability that their offspring will have pink skin = ¹/₄
(b) From the 4 cross possibilities gotten earlier;
Probability that their offspring will have black skin = ³/₄
Thus;
Probability that the first and second off- spring will have black skin is;
³/₄ × ³/₄ = 9/16 or 56.25%
(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;
P(2 pink and 1 black) = ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%
Read more about Mendel's law of dominance at; https://brainly.com/question/14436268