Answer:
i. 33
ii. 1488
iii. 65
Step-by-step explanation:
i. 4x² − 3y² + 5z²
Putting the values x=2, y=-1 and z=2
4(2)² − 3(-1)² + 5(2)²
4×4 − 3×(1)² + 5×(4)
(16) - (3×1) + (20)
16 - 3+ 20
36 - 3
33
ii. 3x³ − 2x(4yz+5x²)
Putting the values x=2, y=-1 and z=2
[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]
[3(8)³ − 2×2(-8 + 5×4)]
[3 ×512 - 2×2(-8 +20)]
[1536 - 4(12)]
[1536 - 48]
1488
iii. 1−4x(yz+3xy)
Putting the values x=2, y=-1 and z=2
[1 - 4 × 2((-1)×2 + 3×2×(-1))]
[1- 8(-2 + (-6))]
[1- 8 (-2 -6)]
[1 - 8(-8)]
[1 +64]
65
How to divide 7 divided by 7/4
Answer:
4
Step-by-step explanation:
7÷7/4
in these cases we multiply by the reciprocal
7× 4/7
7 and 7 can be cancelled with each other
the remaing answer = 4
Answer:
1/4
Step-by-step explanation:
First, since the numerator is 7 you want to see how many times you can divide that.
So, you can only divide 7 by 7 1 time so that turns into 1.
Hence, your numerator is now 1 and denominator stays the same so its..
1/4
En una caja de cartón se empacan 400 latas de atún al acomodarlas resultan que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho ¿Cuántas latas en total tocan el fondo de la caja?
Answer:
Hay 50 latas en total que tocan el fondo de la caja.
Step-by-step explanation:
Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:
[tex]n_{V} = n_{w}\cdot n_{h}\cdot n_{l}[/tex] (1)
Donde:
[tex]n_{V}[/tex] - Total de latas de atún, adimensional.
[tex]n_{w}[/tex] - Cantidad de latas de atún a lo ancho de la caja, adimensional.
[tex]n_{h}[/tex] - Cantidad de latas de atún a lo alto de la caja, adimensional.
[tex]n_{l}[/tex] - Cantidad de latas de atún a lo largo de la caja, adimensional.
De acuerdo con el enunciado, tenemos las siguientes relaciones:
[tex]n_{V} = 400[/tex] (2)
[tex]n_{l} = n_{w} +5[/tex] (3)
[tex]n_{h} = n_{w}+3[/tex] (4)
Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:
[tex]n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400[/tex]
[tex]n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400[/tex]
[tex]n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0[/tex]
Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:
[tex]n_{w,1} = 5[/tex], [tex]n_{w,2} = -6.5+i\,6.144[/tex], [tex]n_{w,3} = -6.5-i\,6.144[/tex]
En consecuencia, la única solución válida es [tex]n_{w} = 5[/tex] y las variables restantes son por (3) y (4):
[tex]n_{l} = 10[/tex] y [tex]n_{h} = 8[/tex]
La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:
[tex]n_{A} = n_{w}\cdot n_{l}[/tex] (5)
[tex]n_{A} = (5)\cdot (10)[/tex]
[tex]n_{A} = 50[/tex]
Hay 50 latas en total que tocan el fondo de la caja.
Find four consecutive negative integers whose sum is -42
Answer:
-12, -11, -10 and -9 add up to -42
Step-by-step explanation:
We can solve this by expressing all four of those integers relative to the first one:
[tex]x + (x + 1) + (x + 2) + (x + 3) = -42\\4x + 6 = -42\\4x = -48\\x = -12[/tex]
so we know that the lowest one is -12, and the other three are sequentially higher value:
-12, -11, -10 and -9
Answer: -12, -11, -10, -9
Step-by-step explanation:
they all add up to -42
Round 2.92538 to the nearest thousandths
Answer:
2.925
this is the answer
Answer:
2.93
Step-by-step explanation:
This is because when rounding, anything above five is rounded up and the number in the hundredths place will be rounded up a number.
Solve in PEMDAS:
3 + [2 + 3 X (6 X 3)]
EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E
The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
To know more about Trapezoid
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I WILL GIVE YOU BRAINLIST HURRY
Which expression is equivalent to 3(2x+1)−(x−1)
?
A
3x+6
B
5x+2
C
5x
D
5x+4
Answer:
b
Step-by-step explanation:
3(2x+1)-(x-1)
\ / / /
5x+2
Answer:
fgcgfcgchgcchcgccghccghcgcghgghcgchchchgcgcghchgchg
Step-by-step explanation:
Tickets to the school musical cost $6.25. The amount received from ticket sales is $706.25. How many tickets were sold?
Answer:
Step-by-step explanation:
if we received 706.25 dollars and a ticket is 6.25
706.25/6.25=113 tickets sold
Answer:
113
Step-by-step explanation:
You have to divided 706.25 by 6.25 and then you get 113. 113 is your anwser.
Hope this helped!
What equation in slope intercept form represents the line that passes through the two points? (5, 6), (9, –2)
Anwsers
A. Y=2x- 16
B. Y= -1/2x- 16
C. Y= 1/2x+ 16
D. Y= -2x+ 16
Alton is making a sandbox for his kids in the backyard. He has 400 feet of board for the sides of the sandbox. A. Define the function A(w) to represent the area of the sandbox as a function of the width. Explain your reasoning. B. Determine the maximum area of the sandbox as well as the length and width that will result in the maximum area. Explain your reasoning.
Answer:
The answer is below
Step-by-step explanation:
a) Let the width be represented as w and the length be represented as l.
The perimeter of the sand box = 2(l + w)
Since there is 400 feet of material for the sides of the sandbox, hence:
400 = 2(l + w)
200 = l + w
l = 200 - w
The area (A) is:
A = length * width
A = (200 - w) * w
A(w) = 200w - w²
b) The maximum area is at A'(w) = 0. Hence:
A'(w) = 200 - 2w
200 - 2w = 0
2w = 200
w = 100 feet.
l = 200 - w = 200 - 100
l = 100 feet.
Area = length * width = 100 * 100 = 10000 feet²
The maximum area of the sandbox is 10000 feet², with a length of 100 feet and width of 100 feet.
Evaluate the expression: 5x - 4y + 10 for x = 2, and y = -3
Step-by-step explanation:
5x - 4y + 10
= 5(2) - 4(-3) + 10
= 10 + 12 + 10
= 32.
Hello There!! I need help in this question...Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. (3, 1), (6, 2), (9, 3) (2, 4), (4, 6), (7, 9) (1.5, 3), (3, 6), (4, 8) (3, 1), (4, 3), (8, 6) Plus, please make a explained to. And, do not guess to this...
Answer:
is this functions because if it is I can help
HELP! IS THIS RIGHT?
Answer:
60x+300=96x-24
324=36x
x=324/36
x=9
yes it is correct
which ordered pair is NOT a solution to the equation y=2x
Step-by-step explanation:
Point C with coordinates (3, 8) does not satisfy y = 2x as 8 is not equal to 2(3).
Hence the answer is C.
What is the slope for y=-7x+12
Answer:
-7
Step-by-step explanation:
Answer:
-7. the number with x is always the slope in this sort of equation. The 12 in this equation is the y-intercept
Step-by-step explanation:
If you took all of the DNA out of your body would it all fit on a plate? If not a plate what would it fit in? WILL GIVE BRAINLIEST
help me on number 4 you get brainliest
Step-by-step explanation:
The car travels 600 feet in 20 seconds
=> 30 feet per second
The moyorcycle travels 300 feet in 12 seconds
=> 25 feet per second
Since 30 > 25, the car travels faster than the motorcycle.
Answer:
The car
Step-by-step explanation:
It tralves 600 ft in 20 seconds as compared to the motercycle travling 600 ft in 24 seconds
Can you find the slope and type the correct code?
Answer:
C
A
H
F
Step-by-step explanation:
graph shows slope =2
2. slope is y2-y1 / x2-x1
(4-7)/(1-0)
-3
so A
3. slope is 28-18 / 4-2
10/2 = 5
so H
4. graph shows slope =1
please give thanks by clicking the heart :)
Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk? (4 points)
Coordinate grid with points labeled home, video store, fast snacks, and grocery store. Home is located at negative 3, 4, video store is at 4, 4, fast snacks is at negative 3, negative 3, and grocery store is at 4, negative 3.
Group of answer choices
14 units
21 units
28 units
35 units
How many american dollars can be cxchanged by NRs100000
Answer:
877.1929824561 dollars
Step-by-step explanation:
100000÷114= 877.1929824561 dollars
hope it helps!
Solve the triangle with the law of sines
Answer:
see below
Step-by-step explanation:
We can use the law of sines
sin 80 sin B
--------------- = -------------
31 14
Using cross products
14 sin 80 = 31 sin B
14/31 sin 80 = sin B
.984807753 = sin B
Taking the inverse sin of each side
sin ^ -1 ( .444751888) = B
26.41 = B
The sum of the angles of a triangle is 180
A+B+C = 180
80 + 26.41 + C =180
106.41 + C = 180
C = 73.59
We can use the law of sines to find c
sin 80 sin 73.59
--------------- = -------------
31 c
c sin 80 = 31 sin 73.59
c = 31 sin 73.59 / sin 80
c = 30.20
AB = 30.20
Hurryyyyy I’m giving brainliest
Solve for w.
16 = W/2
Answer:
W=32
Step-by-step explanation:
16x2=32
32/2=16
Determine the range of the following graph:
Please answer quick. I only have 2 minutes to answer each question. Please!!!
Answer: (1, 8]
Step-by-step explanation:
The lowest point is 1, marked with an open circle, thus a soft bracket. The highest point is 8, exactly, and can be marked with a hard bracket.
What is numerical coefficient of this term?
-3z
PLEASE HELP!!
just look at the picture
Answer:
its the math that solve
Step-by-step explanation:
4. Find x. Please help and explain.
Answer:
x is in top of 5.9
Step-by-step explanation:
hope it helps u find x and if you still cant find it try some glasses
Answer:
11.8
Step-by-step explanation:
because those two 5.9 if you look those two segments put together make a line that is the same length as x so if you add them up it's 11.8
Which statement is true regarding the sides of a triangle
Two brothers are 3 year apart in age. The sum of their ages is 35.How old is the younger brother?
Answer:
The younger brother is 16 years old.
Step-by-step explanation:
The younger brother is aged x.
It follows that the older brother is aged x+3.
x + (x+3) = 35
2x + 3 = 35
2x = 32
x = 16
Answer:
they are 16 and 19
the younger bro is 16
Step-by-step explanation:
if you add 16 and 19 you get 35
Hope this helps!! Pls mark me brainliest!!
Uma downloaded 8 songs. The total cost of the songs was $15.92. Each song cost the same amount. What was the price of one song?
Answer:
1.99
Step-by-step explanation:
15.92 divided by 8 = 1.99
Hope this helps. :)
Also you can find this on a calculator.
Help with all five questions on the image below, will give BRAINLIEST :D
Step-by-step explanation:
1. Six families are represented.
2. Four families have at least three children.
3. Range = 15 - 1 = 14
4. Only one family has at most one child