Answer:
8x + 2y + 250 grams
Step-by-step explanation:
The box contains
8 text books each with a mass of x grams = 8x
2 dictionaries each with a mass of y grams = 2y
1 box = 250 grams
Total = 8x + 2y + 250
The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: P(c) = –20c2 + 320c + 5,120. What is the maximum profit the company can make from the product?
Answer:
6400
Step-by-step explanation:
Given the profit function ;
P(c) = –20c2 + 320c + 5,120
The maximum value is given by :
f(h) ; where, h = - b /2a
From P(C) ; a = - 20 ; b = 320
h = - b / 2a = - 320 / 2(-20) = - 320 / 40 = 8
c = h
P(8) = –20(8)² + 320(8) + 5,120
P(8) = - 1280 + 2560 + 5120
= 6400
Answer:
B.) $640,000
Step-by-step explanation:
A review of combination
Answer:
What is a Combination? A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
#happylearning
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.
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Answer:
The triangle is not acute because 2² + 4² < 5²
Step-by-step explanation:
The square of the hypotenuse of a right triangle with the given short sides would be 2² +4² = 20. So, that hypotenuse would be √20, about 4.47. The long side of this triangle is longer than that, so the angle opposite is larger than 90°. The triangle with sides 2, 4, 5 is an obtuse triangle.
The triangle is not acute because 2² + 4² < 5²
The triangle is not acute because 22 + 42 < 52.
Option C is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine if a triangle is acute, we need to check whether all three angles of the triangle are acute angles (less than 90 degrees).
Pythagorean theorem,
- If the square of the length of the hypotenuse is greater than the sum of the squares of the other two sides, then the triangle is acute.
- If the square of the length of the hypotenuse is less than the sum of the squares of the other two sides, then the triangle is obtuse.
Now,
The triangle with side lengths 2 in., 5 in., and 4 in. is not a right triangle.
So we can't use the Pythagorean theorem directly.
Now,
We can check if the sum of the squares of the two shorter sides is greater than the square of the longest side.
2² + 4² = 4 + 16 = 20
5² = 25
Since 20 < 25, we know that the triangle is not acute.
Therefore,
The triangle is not acute because 22 + 42 < 52.
Learn more about triangles here:
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2x-5y=22n y=3x-7 Use substitution to solve the system.
Answer:
x = 1 , y = -4
Step-by-step explanation:
2x - 5y = 22 ------- ( 1 )
y = 3x - 7 ------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
2x - 5 (3x - 7) = 22
2x - 15x + 35 = 22
- 13x = 22 - 35
- 13x = - 13
x = 1
Substitute x in ( 1 ) :
2x - 5y = 22
2 ( 1 ) - 5y = 22
- 5y = 22 - 2
-5y = 20
y = - 4
FLIGHT TO TOKYO TAKE 2 HOURS 20 MINUTES U ARRIVE AT 4:15PM WHICH TIME DID HE SET OFF
Answer: 1:55 PM
Step-by-step explanation:
Turn 4:15 to 24-hr clock system which is 1615hrs
16:15 - 02:20 = 1355hrs
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of the days that a library book is late and y represents the total fee?
Answer:
x + $0.30 = y
Step-by-step explanation:
hope this helps!
Answer:
(x,0.3*x)
Step-by-step explanation:
the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.
What is the surface area of the regular pyramid below?
Solve Only estimation
Answer:
3a)1680
b)2620
4a)2130
b)13300
c)460
d)7540
Step-by-step explanation:
3a)1500+180
b)2800-170
4a)1800+330
b)7300+6000
c)670-210
d)8000-460
Answer:
a) 1600
b) 2600
c) 2200
d) 13200
e) 500
Step-by-step explanation:
a) 1463 + 179
1400 + 200
1600
b) 2806 - 176
2800 - 200
2600
c) 1831 + 329
1900 + 300
2200
d) 7345 + 5893
7300 + 5900
13200
e) 665 - 213
700 - 200
500
Which of the following is NOT a solution to the linear equation y=3x+2?
Select the correct answer below:
(1,5)
(2,8)
(3,10)
(4,14)
Answer:
(3,10)
Step-by-step explanation:
When x is 3
[tex]{ \bf{y = 3x + 2}} \\ { \bf{y = (3 \times 3) + 2}} \\ { \bf{y = 11}}[/tex]
y is 11, and this is invalid because it is not at accord.
The correct coordinates which is NOT a solution to the linear equation
y = 3x+2 is,
⇒ (3, 10)
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Linear equation is,
⇒ y = 3x + 2
We know that;
The solution of linear equation is satisfy the eqaution.
Hence, We can check as;
⇒ y = 3x + 2
Put x = 1. y = 5
⇒ 5 = 3 × 1 + 2
⇒ 5 = 5
Thus, It is solution of linear equation.
⇒ y = 3x + 2
Put x = 2. y = 8
⇒ 8 = 3 × 2 + 2
⇒ 8 = 8
Thus, It is solution of linear equation.
⇒ y = 3x + 2
Put x = 3, y = 10
⇒ 10 = 3 × 3 + 2
⇒ 10 ≠ 11
Thus, It is not solution of linear equation.
Thus, The correct coordinates which is NOT a solution to the linear equation y = 3x+2 is,
⇒ (3, 10)
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To the nearest degree, find the measure of angle A.
Cosine(angle) = adjacent leg/ hypotenuse
Cosine( angle ) = 18/20
Angle = arccos(18/20)
Angle = 26 degrees
Answer:
26°
Step-by-step explanation:
For a right triangle, we can use trigonometry equations :-
In this case we need to use cosine equation .
cos A = adjacent side / hypotenuse
cos A = 18 / 20
A = cos × 18/20
A = arccos × 18/20
A = 26°
José tiene 30 años menos que su padre y 27 más que su hijo. entre los 3 suman 135 años ¿ cuántos años tiene cada uno?
Answer:
44 años tiene jose . el padre 74 y el hijo 17 años.
Step-by-step explanation:
What is a cubic function
Answer:
In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.
the second difference 4;x;8;y;20;.... is 2
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Answer:
x = 5y = 13Step-by-step explanation:
First differences are ...
x -4, 8 -x, y -8, 20 -y
Then second differences are ...
(8 -x) -(x -4)
(y -8) -(8 -x)
(20 -y) -(y -8)
Each of these is said to be 2, so we have ...
12 -2x = 2 ⇒ x = 5
28 -2y = 2 ⇒ y = 13
And an equation we can use to check:
x +y -16 = 2 ⇒ 5 +13 -16 = 2 . . . . true
_____
The explicit formula for the sequence is ...
an = n^2 -2n +5
What is a half of 25% of 0.2 0f 200?
Answer: 5
Step-by-step explanation:
Data: Half of 25% of 0.2 of 200=x
Step one, Find 0.2 of 200
0.2=20%
20% of 100=20 so 20% of 200=40
Reason: 0.2 is another way of writing 20% so you can find 20% of 200 with a shortcut. basically since 20% of 100 is 20 and 200 is 100x2 you can just multiply 20x2 to get 20% of 200, which is 40.
Step two, Find 25% of 40
40/4=10 which means 4x10=40
10=25% of 40
Reason: Since percent is based of 100, we know that multiplying 25 by 4 will get us 100 so all we need to go to find 25% of something it divide it by 4. 40/4 is 10 so 10 would be 25% of 40(0.2 of 200)
Step three, Find half of 10
10/2=5
Reason: To find the half of anything, you insert the number(x) into here 'x/2' or just divide it by two, it's the same thing. And since 10/2 is 5 half of 10 is 5.
So, half of 25% of 0.2 of 200 is 5
I hope this helps!
if p(a) contain 8 elements then set a contain which element
Answer:
3 elements
because 2^3=8
Answer:
3 elements
because 2^3=8
Step-by-step explanation:
What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0
Answer:
Step-by-step explanation:
(x²-6x)+(y²+8y)=-21
(x²-6x+9)+(y²+8y+16)=-21+9+16
(x-3)²+(y+4)²=4
center=(3,-4),radius=√4=2
First,i would rewrite 3/4 as an equivalent fraction with a denominator of ____
The equivalent fraction is ____ Then, I would compare the equivalent fraction to 7/12\
PLEASE TELL ME THE ANSWERS IN THE BLANKS!!!
Answer:
denominator of 12 (first blank) making the numerator 9. equivalent fraction 9/12 (second blank)
Step-by-step explanation:
lowest common denominator is 12. make sure what you do to the denominator (4times3)= 12, you do to the numerator (3times3)=9
Answer:
The first blank is the denominator of 12 so the numerator is 9. Which makes the answer 9/12
Step-by-step explanation:
Hope this helps! :)>
In The Diagram, P, Q, R, Are Points On The Circle With Centre 0 And Diameter 14cm. Angle PQR=35 Degree. Find, Correct To One Decimal Place A. The Length Of The Minor Are PQ; B. The Chord PQ.
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in the diagram, P, Q, R, are points on the circle with centre 0 and diameter 14cm. angle PQR=35 degree. find, correct to one decimal place
a. The length of the minor are PQ;
B. The chord PQ.
Answer:
a
Step-by-step explanation:
because the diagram the length decimal place degree
Wayne is picking out some movies to rent, and he is primarily interested in dramas and horror films. He has narrowed down his selections to 7 dramas and 16 horror films. How many different combinations of 3 movies can he rent if he wants at least two dramas
Answer:
The number of selections is 49.
Step-by-step explanation:
drama = 7
horror films = 16
Select 3 movies at least two dramas
For 2 drama and 1 horror film
(3 C 2) x (16 C 1) = 48
For 3 drama
(3 C 3) = 1
So, total number of selections is 48 + 1 = 49.
A custodian has 5 and 1/2 gallons of paint each of the book cases she is painting requires 1/2 gallon of paint how many book cases will the custodian be able to paint with that amount of paint A.3 B.4 C.11 D.15
Answer:
Option C.
Step-by-step explanation:
what is the best estimate of (-3/8)(17 5/6)
Answer:
-11
Step-by-step explanation:
Given the expression (-3/5)(17 5/6)
Converting the mixed to improper fraction
(-3/5)(17 5/6)
= (-3/5)(107/6)
= (-3*107)/(5*6)
= -321/30
= -10.7
Hence the required best estimate is -11
Matt had 60 questions correct on a Percent’s Chapter Test that had 150 one-mark questions. What was his mark written as a percentage?
Answer:
His mark, as a percentage, was of 40%.
Step-by-step explanation:
Mark as a percentage:
His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.
In this problem:
60 questions correct out of 150. So
60*100%/150 = 40%
His mark, as a percentage, was of 40%.
Which two terms are interchangeable?
Answer: Axioms and Postulates
Step-by-step explanation:
Even if we draw more points on a line, It is an accepted statement of a fact that cannot be disproved - which which these are called Axioms or Postulates; and they are interchangeable.
I hope my explanation helped. Your welcome.
someone plz help me porfavor!!!!!
Answer:
c. y = ¼x - 2
Step-by-step explanation:
Find the slope (m) and y-intercept (b) then substitute the values into y = mx + b (slope-intercept form)
Slope = change in y/change in x
Using two points on the graph, (0, -2) and (4, -1):
Slope (m) = (-1 - (-2))/(4 - 0) = 1/4
m = ¼
y-intercept = the point where the line intercepts the y-axis = -2
b = -2
✔️To write the equation, substitute m = ¼ and b = -2 into y = mx + b:
y = ¼x - 2
3^4 +3 • 5= _. (Input whole numbers only.) Numerical Answers Expected! Please explain.
Answer:
96
Step-by-step explanation:
81+15=96
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{3^4 +3 \times5}\\\\\\\mathsf{3^4}\\\mathsf{= 3\times3\times3\times3}\\\mathsf{=9\times9}\\\mathsf{= \bf 81}\\\\\\\mathsf{81+5\times3}\\\\\mathsf{3\times5=\bf 15}\\\\\\\\\mathsf{81+15}\\\mathsf{= \bf 96}\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 96}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
7) -4 = 2(b + 5)
please help!
Answer:
b = -7
Step-by-step explanation:
Let's solve your equation step-by-step.
−4 = 2(b + 5)
Step 1: Simplify both sides of the equation.
−4 = 2(b + 5)
−4 = (2)(b) + (2)(5)(Distribute)
−4 = 2b + 10
Step 2: Flip the equation.
2b + 10 = −4
Step 3: Subtract 10 from both sides.
2b + 10 − 10 = −4 − 10
2b = −14
Step 4: Divide both sides by 2.
[tex]\frac{2b}{2} = \frac{-14}{2}[/tex]
b = -7
Hope this helps, please mark brainliest if possible. Have a great day! :)
Una persona ha sido mordida por un insecto venenoso. Se comenzó a sentir mal pasados 30 minutos, 2 horas después acudió a un centro de urgencias donde fue atendido pasados 90 minutos. Si se estima que el porcentaje de sangre contaminada t horas después de ocurrida la mordedura es P =18t – t2 + 6
¿Qué porcentaje de sangre contaminada tiene este paciente al momento de ser atendido?
Which graph represents the function f(x) = 2^x+ 3?
Answer:
Where's the graph?
Step-by-step explanation:
Select the correct answer.
Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?
A.
$100
B.
$120
C.
$150
D.
$180
Answer:
180
Step-by-step explanation:
9x20= 180
Answer:
Step-by-step explanation:
Well You Know you have to multiply
multiply 9 times 20
9 times 2 18
then add the zeros
The answer is 180
After a certain number of football matches , a footballer averages 1 goal per game.He only scored 2 goals in the next 10 games and his average dropped to 0.8 goals per game .How many football matches did he play altogether?
Answer:
He played 40 matches in total, scoring 32 goals.
Step-by-step explanation:
Since after a certain number of football matches, a footballer averages 1 goal per game, and he only scored 2 goals in the next 10 games and his average dropped to 0.8 goals per game, to determine how many football matches did he play altogether you must perform the following calculation:
10/10 + 2/10 = 12/20 = 0.6
8/8 + 2/10 = 10/18 = 0.55
12/12 + 2/10 = 14/22 = 0.64
20/20 + 2/10 = 22/30 = 0.73
24/24 + 2/10 = 26/34 = 0.76
30/30 + 2/10 = 32/40 = 0.8
Thus, he played 40 matches in total, scoring 32 goals.
