Answer:
t = 5
Step-by-step explanation:
Given r varies directly as t³ then the equation relating them is
r = kt³ ← k is the constant of variation
To find k use the condition r = 54 when t = 3 , then
54 = k × 3³ = 27k ( divide both sides by 27 )
2 = k
r = 2t³ ← equation of variation
When r = 250 , then
250 = 2t³ ( divide both sides by 2 )
125 = t³ ( take cube root of both sides )
[tex]\sqrt[3]{125}[/tex] = t , that is
t = 5
how many groups of 6 are in 95?
Answer:
15
Step-by-step explanation:
It does not divide evenly, but there are 15 groups of 6 in 95.
64t-16t^2>28 how do i solve this?
Answer:
0.5 < t < 3.5
Step-by-step explanation:
[Given] 64t-16t^2>28
[Rewrite] 64t - 16t² > 28
[Subtract 28 from both sides] 64t - 16t² - 28 > 0
[Reorder] - 16t² + 64t - 28 > 0
[Solve Using The Quadratic Formula] 0.5 < t < 3.5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
In kick boxing, the force needed to break a board varies inversely with the length of the board.If it takes 5 pounds of pressure to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 8feet long?
Answer:
Step-by-step explanation:
By taking k as constant:
P = k/L (where P is pressure, and L is length)
5 = k/2
k = 10
Therefore:
P = 10 / L
P = 10/ 8
P = 1.25 Pounds.
Identify the vertex of the parabola represented by the equation y=−2x2+8x−1.
(−4, −65)
(4, −1)
(2, 7)
(−2, −25)
Answer:
it is correct but -65 is not correct
Write the inequality.
The sum of negative 3 and a number is no more than two
Answer: -3+x<2
Step-by-step explanation: can't be greater than 2.
Loại ngôn ngữ lập trình được đông đảo người lập trình lựa chọn là?
Answer:
JavaScript
Step-by-step explanation: Đó là lý do JavaScript nên đứng đầu tiên trong danh sách ngôn ngữ lập trình thích hợp cho người mới bắt đầu. Theo khảo sát mới nhất trên Stack Overflow – “phao cứu sinh” của developer, JavaScript là ngôn ngữ phổ biến nhất được sử dụng rộng rãi trong vòng 8 năm qua
what’s the answer this is due tomorrow help asap
Answer : Quadrilateral
Question 7 50 points
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k
Find the domain and range of the following function f(x) = 51x - 21 + 4
Domain. [4,8) Range: (-00,00)
Domain. (4,00) Range: (-00,00)
Domain (-00,00) Range [4,00)
Domain. (-00,00) Range: (4,00)
Answer:
my gosh, hirap kaya niyan, pareho lang ta u d alam sagot
How can you use factoring to solve quadratic equations in standard form?
Step-by-step explanation:
The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation. Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.
For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.
x² + 6x + 8 = 0
where a = 1, b = 6, and c = 8:
In order to find the factors of the given quadratic equation, we must find the factors with a product ac, and sum b.
Using 2 and 4 as possible factors produce a product that is equal to
product of ac: 2 × 4 = 8
sum of b: 2 + 4 = 6.
Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:
(x + 2) (x + 4).
Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.
Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.
(x + 2) (x + 4)
x + 2 = 0
x + 2 - 2 = 0 - 2
x = -2
x + 4 = 0
x + 4 - 4 = 0 - 4
x = -4
Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.
The dimensions of a rectangular prism are 3 cm, 15 cm, and k cm. Its volume is
90 cm. Find the value of k.
Answer:
k = 2 cm
Step-by-step explanation:
3 x 15 x k = 90 cm^3
45 x k = 90 cm^3
k = 90/45 = 2 cm
ABCD is a parallelogram and X and Y are any point on CD and AD respectively. Prove that triangle AXB and triangle BYC are equal in area. Prove that
Answer:
See answer below
Step-by-step explanation:
ABCD is a parallelogram Given
BC ≅ AD; AB ≅ DC opposite sides of a parallelogram ≅
Δ AXB = 1/2 (AB)(AD) Formula for the area of a Δ
Δ BYC = 1/2 (BC) (DC) Formula for the area of a Δ
1/2 (AB)(AD)= 1/2(BC)(DC) Substitution
∴ Area of Δ AXB = Area of ΔBYC
HELP!!
Lenor and Juan go to school together after leaving school Lenor drove 12 miles to get to his house and Juan drove 35 mile
get to his house. Based on the picture below what is the shortest distance from Lenor's house to Juan's house. (show your
for full credit)
a= distance Lenor drove
Lenor
b distance Juan drove
c=distance between
Lenor and Juan
Juan
On an airplane the passengers may have chicken vegetable or tomato soup
Half of the passengers choose the Chicken soup
A third of the passengers choose tomato soup
What fraction of the passengers chose soup?
There are 240 passengers on the airplane
How many passengers chose vegetable soup?
a 4-pack of frozen waffles costs 2.67 what is the unit price rounded to nearest cent?
Answer:
2.67 is the answer
Step-by-step explanation:
tell me if i am rong
Where ia the function decreasing?
Answer:
The function is decreasing for x > -1
Step-by-step explanation:
Second derivative of -2x^2+2/(x^2+1)^2
Answer:
\frac{-2x^2+2}{x^4+2x^2+1}
2x^2+2
-------------
x^4+2x^2+1
FInd the value of T - triangle measerments
JK=JH
[tex]\\ \sf\longmapsto 10t=7t+15[/tex]
[tex]\\ \sf\longmapsto 10t-7t=15[/tex]
[tex]\\ \sf\longmapsto 3t=15[/tex]
[tex]\\ \sf\longmapsto t=15/3=5[/tex]
1/5 cup of flour is used to make 4 cookies. How many cups of flour are needed to make 7 dozen cookies. (Need answer asap please)
HELP WILL GIVE THE MOST POINTS IT LETS ME NEED ANSWER SOON
Answer:
c. -5x - 2 = -42
Step-by-step explanation:
Have a nice day! :-)
Answer:
-5x-2 = -42
Step-by-step explanation:
less than means you do this after what comes next
Product of a number and -5
-5x
Two less than
-5x -2
is means equals
-5x-2 = -42
please help for my math i rlly need it ill give big points and brainliest
Answer:
a) x2 = 10
b) x2 − 40 = 0
c) 3x2 − 600 = 0
d) x2 + 12 = 0
Answer:
[tex]\frac{6(2a-4c)-6(6a-4b)+3(4b-8c)}{4} \\[/tex]
[tex]\frac{12a-24c-36a+24b+12b-24c}{4}[/tex]
[tex]\frac{12a-36a+24b+12b-24c-24c}{4}[/tex]
[tex]\frac{-24a+36b-48c}{4}[/tex]
[tex]-6a+9b-12c[/tex]
[tex]-3(2a-3b+4c)[/tex]
So,
[tex]-3(2a-3b+4c)=X(2a+Yb+Zc)[/tex]
X = (-3)
Y = (-3)
Z = 4
Hope this helps you.
Let me know if you have any other questions :-)
Write the equation of the line with x-intercept 3 and passing through the point (5.4)
Answer: y=(1/5)m+3
Step-by-step explanation:
Start with the standard form of an equation of a straight line: y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).
y=mx+b
We know b (3), so:
y=mx + 3
To find the slope, m, we can use the one given point, (5,4):
y=mx + 3 for (5,4) would be:
4 = m*5+3
1 = 5m
m = (1/5)
y=(1/5)m+3
factorize ax^2 + bx by using identities
Answer:
ax^2+bx=x(ax+b)
Please mark as brainliest
Step-by-step explanation:
A box of cereal states that there are 84 calories in a 3/4
-cup serving. What is the unit rate for calories per cup?
Answer:
It is 112 calories per cup of cereal.
Step-by-step explanation:
multiply 3/4 by 4 and youll get 3 and them multiple 84 by 4 and you'll get 336. Divide 336 by 3 and youll get your answer.
Will give brainliest, need assistance ASAP!
What’s x?
Answer:
I pretty sure it is F.1cm
Theres a 4 at the bottom but i couldn't get it in
Answer:
See answer below.
Step-by-step explanation:
1. Start at point (0,0), This point is where the x-y-axis meet. Do not put a dot
there because this is your starting point.
2. Move to the left over to point -1 3/4 . This place is between -1 and -2, and
closer to -2 because the point is -1 .75. Remember this point is not on the
graph.
3. Now move up from that point to 4.5 and put a dot at that place. The point is in the Q II , to the left top.
please help solve for RN
Answer:
I guess...
Step-by-step explanation:
Since QR and PN are parallels, I think what happens in MN and MP is proportional, so:
RN = x
8 is to 10 as
5 is to x
8 * x = 5 * 10
8x = 50
x = 50 / 8
x = 6.25
RN = 6.25
If the circumference of full circle is equal to 2 cm, find the length of the arc of the composing semicircle
Answer:
it is 1 cm because semi means half
Which equation represents a line which is parallel to the line y = -5/8x + 6?
A) 8x + 5y = 10
B) 8x - 5y = 15
C) 8y - 5x = -24
D) 5x + 8y = 32
Step-by-step explanation:
y = -5x/8 + 6
8y = 8 × (-5x/8 + 6)
8y = -5x + 42
5x + 8y = 42
5x + 8y = K, k element real
Option → D
The equation for parallel line is 5x + 8y = 32.
The correct option is (D).
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Equation: y = -5/8x + 6
Now, the parallel line to above equation must have the slope same as the given equation i.e., -5/8.
Then, writing the equation in slope intercept form
A) 8x + 5y = 10
5y= 10 - 8x
y= 10/5 - 8x/5
y= -8/5x + 2
B) 8x - 5y = 15
-5y= 15 - 8x
y= 8/5 x + 3
C) 8y - 5x = -24
8y= -24 + 5x
y= -24/8 +5/8x
y= +5/8x - 3
D) 5x + 8y = 32
8y= 32 -5x
y= -5/8x + 4
Hence, the equation for parallel line is 5x + 8y = 32.
Learn more about Slope here:
https://brainly.com/question/3605446
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