Answer:
La altura del prisma es 2,4 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
Entonces:
volumen= longitud*ancho*altura
En este caso, los datos conocidos son:
volumen= 24 m³longitud= largo de la base= 2,5 mancho= 4 maltura= ?Reemplazando:
24 m³= 2,5 m* 4 m* altura
Resolviendo:
[tex]altura=\frac{24 m^{3} }{2,5 m*4m}[/tex]
[tex]altura=\frac{24 m^{3} }{10 m^{2} }[/tex]
altura= 2,4 m
La altura del prisma es 2,4 m.
Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.
Answer:
7 / 6
Step-by-step explanation:
Given the points:
points (0, 0) and (6, 7)
Point 1 : x1 = 0 ; y1 = 0
Point 2 : x2 = 6 ; y2 = 7
The rise = y2 - y1 = 7 - 0 = 7
The run = x2 - x1 = 6 - 0 = 6
Ratio of Rise to Run = Rise / Run = 7 / 6
determine the equation of the circle graphed below.
Answer:
(x - 5)² + (y - 5)² = 18
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, 5) , then
(x - 5)² + (y - 5)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)
r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]
= [tex]\sqrt{3^2+3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18
Then
(x - 5)² + (y - 5)² = 18 ← equation of circle
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5.15 ft at midnight, rises to a
high of 10.2 ft falls to a low of 0.1 ft, and then rises to 5.15 ft by the next midnight
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the
situation?
Enter your answer in the box
Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
Find the quadratic equation whose parabola has vertex (3,-2) and y-intercept (0, 16). Give your
answer in vertex form.
Answer:
y = 2*(x - 3)^2 - 2
Step-by-step explanation:
Remember that a quadratic equation of vertex (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if we know that the vertex is at (3, - 2)
we have:
y = a*(x - 3)^2 + (-2)
And we want the y-intercept to be (0, 16)
This means that, when we take x = 0, we must have y = 16
if we replace these in the above equation we get:
16 = a*(0 - 3)^2 - 2
now we can solve this for a
16 = a*(-3)^2 - 2
16 = a*9 - 2
16 + 2 = a*9
18 = a*9
18/9 = a
2 = a
Then the quadratic equation is:
y = 2*(x - 3)^2 - 2
Tami spins a spinner with 7 sections. The sections are numbered 1 through 7 and all sections are the same size
Answer:
1 / 7
Step-by-step explanation:
Number of sections on spinner = 7
Section is numbered 1 to 7
Since the probability of landing on each section is the same:
Probability that spinner lands on 4 :
Probability, p = Required outcome / Total possible outcomes
Required outcome = landing on 4 = 1
Total possible outcomes = (1 to 7) = 7
P(landing on 4) = 1 /7
answer asap -=-=-=-=-==-=
Step-by-step explanation:
my answer is in the image above
Center is (2,-2) another point on the circle is (-4,6) An equation of the circle in standard form is what?
Answer:
(x - 2)^2 + (y + 2)^2 = 100
Step-by-step explanation:
We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.
Then the radius of this circle will be the distance between (2, - 2) and (-4, 6)
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between (2, - 2) and (-4, 6) is:
[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]
Then the radius of the circle is R = 10
and we know that the center is (2, -2)
the equation for this circle is then:
(x - 2)^2 + (y - (-2))^2 = 10^2
(x - 2)^2 + (y + 2)^2 = 100
please help ? i do not understand this question--
Answer:
hey, i think it's the first alternative
Step-by-step explanation:
simplify
[tex] \frac{2e + f}{8e - 2e {}^{2} } \times \frac{4e - e {}^{2} }{2ef + f {}^{2} } [/tex]
The answer is 1/2f
my answer is in the image above
Can someone help me please really need help? I’ll help you back please & thanks
Find the value of x in the isosceles triangle shown below.
Answer:
x = [tex]\sqrt{26}[/tex]
Step-by-step explanation:
using pythagoras theorem
here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.
a^2 + b^2 = c^2
[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]
13 + 13 = x^2
26 = x^2
[tex]\sqrt{26}[/tex] = x
Answer:
answer would be c
Step-by-step explanation:
hope this helps
During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.
Answer:
354 $ is correct
Step-by-step explanation:
your v id dead
Evaluate the expression using the Commutative and Associative properties of numbers.
Name the property used in each step.
13 + 23 + 12 + 7
Given:
The expression is:
[tex]13+23+12+7[/tex]
To find:
The value of the given expression by using Commutative and Associative properties of numbers.
Solution:
We have,
[tex]13+23+12+7[/tex]
Applying parenthesis and brackets, we get
[tex]=[13+(23+12)]+7[/tex]
[tex]=[13+(12+23)]+7[/tex] [Commutative properties of numbers]
[tex]=[(13+12)+23]+7[/tex] [Associative properties of numbers]
[tex]=(25+23)+7[/tex]
Using Associative properties of numbers, we get
[tex]=25+(23+7)[/tex] [Associative properties of numbers]
[tex]=25+30[/tex]
[tex]=55[/tex]
Therefore, the value of the given expression 55.
892.8571428571429 to the nearest whole number
Answer:
893
Step-by-step explanation:
To the right of the decimal, the number 8 is greater than 4 so you have to round up the number to the left. So 2 becomes 3 in the ones place.
Hope this helps.
[tex]$\mathcal{WHOLE \ \ NUMBERS:}$[/tex]
They are those that do not have numbers after the point that are not zeroAnswer:
The closest number is 893
Att- Brook2007s
Saludos ten lindo día uwu
Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.
Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.
What is the value of x?
5
10
20
25
Given:
In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].
To find:
The value of x.
Solution:
In a parallelogram, the consecutive interior angles are supplementary angles.
In parallelogram PQRS,
[tex]m\angle Q+m\angle R=180^\circ[/tex] (Supplementary angles)
[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]
[tex](20+8x)^\circ=180^\circ[/tex]
[tex]20+8x=180[/tex]
Subtracting 20 from both sides, we get
[tex]8x=180-20[/tex]
[tex]8x=160[/tex]
Divide both sides by 8.
[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]
[tex]x=20[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
Set up an equation and solve for x
Answer:
x = -10
Step-by-step explanation:
verticle angles are congruent
80 + x = 70
Subtract 80 from both sides
x = -10
I need help with my math! Can you please help me!!
Answer:
[tex]y=-|x-1|+3[/tex]
Step-by-step explanation:
The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;
[tex]y=(+-)n|x-k|+h[/tex]
The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.
[tex]y=-|x|[/tex]
The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).
[tex]y=-|x-1|[/tex]
The function is shifted (3) units up, thus the position of (h) is occupied by a (3).
[tex]y=-|x-1|+3[/tex]
Therefore the following answer choice is correct, as it fits all of the requirements;
[tex]y=-|x-1|+3[/tex]
Which peicewise function is shown in the graph?
Answer:
Option (1)
Step-by-step explanation:
From the graph of the piecewise function,
There are two pieces of the function,
1). Segment (1) having x < 0
2). Segment (2) having x ≥ 0
Segment (1),
Segment starts with a hollow circle at x = 0 and passes through two points (0, 1) and (-2, 2)
Slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-1}{-2-0}[/tex]
= [tex]-\frac{1}{2}[/tex]
Equation of the segment passing through (-2, 2) with slope = [tex]-\frac{1}{2}[/tex],
[tex]y-y'=m(x-x')[/tex]
[tex]y-2=-\frac{1}{2}(x+2)[/tex]
[tex]y=-\frac{1}{2}x-1+2[/tex]
[tex]y=-\frac{1}{2}x+1[/tex]
[tex]y=-0.5x+1[/tex] For x < 0
Segment (2),
Segment starts with a solid circle at x = 0 and passes through (0, -2) and (2,2)
Slope of the segment = [tex]\frac{2+2}{2-0}[/tex]
= 2
Equation of the segment passing through (0, -2) and slope = 2,
y - y' = m(x - x')
y + 2 = 2(x - 0)
y = 2x - 2 For x ≥ 0
Therefore, Option (1) will be the correct option.
jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.
Answer:
nx12=p
Step-by-step explanation:
So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.
Công ty A&T có thông tin về hàng tồn kho năm 20X0 như sau: - Giá trị hàng tồn kho: 6.000 triệu đồng (loại 1 là 2.000 triệu đồng, loại 2 là 4.000 triệu đồng). Hai loại hàng tồn kho này không cùng bản chất. Số lượng hàng tồn kho loại 1 dùng cho các hợp đồng bản hàng đã ký lớn hơn số lượng hàng tồn kho loại 1 hiện tại. -Cuối kỳ kế toán công ty đánh giá lại hàng tồn kho với các thông tin đáng tin cậy như sau: + giá bán ước tính của hàng tồn kho loại 1 là 2.000 triệu đồng, loại 2 là 4.300 triệu đồng + chi phi bán hàng, ước tính của loại 1 là 40 triệu đồng, loại 2 là 30 triệu đồng. Yêu cầu: Công ty A ghi nhận các nội dung kinh tế trên như thế nào theo chuẩn mực báo cáo tài chính quốc tế giá trị hàng tồn kho, giá trị thuần có thể thực hiện được hoặc dự phòng)?
PLZ HELP WILL GIVE BRAINLY IF RIGHT!!!
-2(x-4)=4x+2x+8
Answer:
x = 0
Step-by-step explanation:
-2(x-4)=4x+2x+8
Distribute
-2x +8 =4x+2x+8
Combine like terms
-2x+8 =6x+8
Add 2x to each side
-2x+2x+8 =6x+2x+8
8 = 8x+8
Subtract 8 from each side
8-8 = 8x+8-8
0 = 8x
Divide by 8
0=x
Answer:
x = 0
Step-by-step explanation:
-2(x-4) = 4x+2x+8
-2x+8 = 6x+8
8-8 = 6x+2x
0 = 8x
x = 0
Hope this will help and if so, then please mark me as brainliest.
NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12
Answer:
Range: [-7, 8]
General Formulas and Concepts:
Algebra I
Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
A typical serving of fish is 4 ounces. What is this serving size in grams?
Answer:
the answer is 113.398 grams
Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?
Answer Choices In Picture
Answer:
First Option
Step-by-step explanation:
Create a SQUARE pyramid that has a base area of 49 mm2 and a volume of 588mm3. Show the volume calculation.
Answer:
sorry
Step-by-step explanation:
hindi ko din alam
please help me! i need this to pass!
Answer:
option E, C
Step-by-step explanation:
From the graph we will find the equation of g(x).
g(x) is a parabola with vertex ( h, k) = ( 0, 9)
Standard equation of parabola is , y = a (x - h)² + k
y = a (x - 0)² + 9
y = ax² + 9 ---------- ( 1 )
Now we have to find a .
To find a we will take another point through which the parabola passes .
Let it be ( 3, 0).
Substitute ( 3 , 0 ) in ( 1 ) => 0 = a (3 )² + 9
=> - 9 = 9a
=> a = - 1
Substitute a = - 1 in ( 1 ) => y = -1 x² + 9
=> y = - x² + 9
Therefore , g(x) = -x² + 9
Now using the table we will find h(x)
[tex]h(x) = 4^{x}[/tex]
So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]
Option A : both function increases on ( 0, ∞ ) - False
[tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]
[tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]
g(x) decreases on ( 0 , ∞)
[tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]
[tex]= \infty[/tex]
h(x) increases on ( 0, ∞)
option B : g(x) increasing on (- ∞, 0) - False
g(x) = -x² + 9
g( -2 ) = - (-2)² + 9
= - 4 + 9 = 5
g ( -5) = - ( -5)² + 9
= - 25 + 9 = - 14
As the value of x moves towards - ∞ , g(x) moves towards - ∞
Therefore g(x) decreases on (- ∞, 0)
Option C: y intercept of g(x) is greater than h(x) - True
y intercept of g(x) = ( 0 , 9 )
y intercept of h(x) = ( 0 , 1 )
Option D : h(x) is a linear function - False
Option E : g(2) < h(2) - True
g(x) = -x² + 9
g(2) = -(2)² + 9 = - 4 + 9 = 5
h(x) = 4ˣ
h(2) = 4² = 16
In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups of tables?
If AGHJ ~ ALMK, with a scale factor of 5:6,
find the perimeter of AGHJ.
Answer:
35
Step-by-step explanation:
Perimeter of LMK = 14 + 11 + 17
Perimeter of LMK = 42
Perimeter GHJ/ Perimeter LMK = 5/6
Perimeter GHJ / 42 = 5/ 6 Cross Multiply
6*Perimeter GHJ = 42 * 5
6*Perimeter GHJ = 210 Divide by 6
Perimeter GHJ = 210/6
Perimeter GHJ = 35
A turkey has a mass of 6 kilograms. A bag of sweet potatoes has a mass of 2 kilograms. How many more grams does the turkey weigh than the sweet potatoes?
Answer:
the correct answer is 4,000 grams
The product of sinA x cotA is
==========================================
Work Shown:
sin(A)*cot(A)
sin(A)*( cos(A)/sin(A) )
cos(A)
--------------
Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.
Answer:
cosA
Step-by-step explanation:
Using the identity
cotA = [tex]\frac{cosA}{sinA}[/tex] , then
sinA × cotA
= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )
= cosA
