Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.
[tex]m\propto h[/tex]
[tex]m=kh[/tex] ...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get
[tex]525=k(5)[/tex]
[tex]\dfrac{525}{5}=k[/tex]
[tex]105=k[/tex]
Putting k=105 in (i), we get
[tex]m=105h[/tex]
Therefore, the required equation is [tex]m=105h[/tex].
pls help with number 3
Answer:
3<n+5
Step-by-step explanation:
...................
Answer:
n+5-3
Step-by-step explanation:
"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.
I'm unsure how to do this question,, could someone help?
What is 'twelve and forty-eight thousandths” in
decimal form?
Answer:
0.1248
Step-by-step explanation:
I think this is right
hope this helps :)
Daom its been so long since ive been on here i was just zoning out and thinkin... why havent they made a dark mode to this smh i be on discord to much my eyes have adjusted...
Answer:
why you not on discord?
Step-by-step explanation:
Write an equation for the line shown in the graph.
A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10
Answer:
D
Step-by-step explanation:
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the equation, the y-intercept is 10. Then the equation is given as,
y = mx + 10
From the graph, the line is passing through (2, 8). Then the slope is given as,
8 = m(2) + 10
8 = 2m + 10
- 2 = 2m
m = - 1
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
More about the linear equation link is given below.
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If £25 = 750 rubles, how many £ are in 780 rubles?
Answer:
26
Step-by-step explanation:
25/750=0.033333
0.033333x780=26
Please simplify I need the extra credit all answers get brainiest.
Answer:
3/10a^15b^7c^4
Step-by-step explanation:
sorry its kinna hard to explain
Write the following equation in slope-intercept form: y-8= 4(x+10)
Answer:
y = 4x + 48
Step-by-step explanation:
Slope intercept form: y = mx + b
y - 8 = 4x + 40
y = 4x + 48
The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
GH = 5, HI = 6, GI ≈ 8.81
m∠G = 90°, m∠H ≈ 50°, m∠I ≈ 40°
GH = 6, HI = 5, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 40°, m∠I ≈ 50°
GH = 5, HI = 6, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°
GH = 6, HI = 5, GI ≈ 8.81
m∠G = 90°, m∠H ≈ 40°, m∠I ≈ 50°
Answer:
GH = 5, HI = 6, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°
Step-by-step explanation:
What is the volume of the cone below?
Answer:
yo try D
Step-by-step explanation:
im pretty sure bc 6 turns to 12 so 22 times 12
Consider the equation 4•e^2.7x = 33
Solve the equation for x. Express the solution as a logarithm in base-e.
x ≈
Approximate the value of x. Round your answer to the nearest thousandth.
x≈
Answer:
[tex] \huge x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ \huge \: x \approx 0.782[/tex]
Step-by-step explanation:
to understand thisyou need to know about:logarithmPEMDASlet's solve:[tex]4 {e}^{2.7x} = 33 \\ {e}^{2.7x} = \frac{33}{4} \\ 2.7x = ln( \frac{33}{4} ) \\ x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ x \approx 0.782[/tex]
An equation is formed of two equal expressions. The value of x is 0.7815.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation 4•e^2.7x = 33 can be solved for x as,
[tex]4\cdot e^{2.7x }= 33\\\\ e^{2.7x }= \dfrac{33}{4}\\\\\text{Taking anti-log}\\\\2.7x = ln\frac{33}{4}\\\\x = ln(\dfrac{33}{4}) \times \dfrac{1}{2.7}\\\\x=0.7815[/tex]
Hence, the value of x is 0.7815.
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Solve the answer
6p - 1 - 4p = 15?
Answer:
it would equal 2p-1 as a mathematical equation
Step-by-step explanation:
PLEASE HELP! I WILL AWARD BRAINLIEST
Sherbrooke, Quebec Is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return to Boston, the train travels 50.4 mph. How many times (or less is the train's speed on the return trip to Boston than the trip to Sherbrooke?
Answer:
Both trains will meet 120 miles away from Boston
Answer:
Both trains will meet 120 miles away from Boston!!!
Step-by-step explanation:
trust me on this i honestly dont know how to explain this
Choose all equations that are equivalent to the equation: 4x−12y=18
a. 2x−6y=9
b. 8x−24y=36
c. 2x−9y=18
d. y= −3/2x + 1/3x
Answer:
a & b
Step-by-step explanation:
a is the simplified form
b is doubled
hope this helps :)
solve the equation -30p-2=58 for p.
Answer:
p=-2
Step-by-step explanation:
1.Combine like terms on both sides.
2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.
3.Add 11 to both sides of the equation.
4.Finally, divide both sides by −10 to get the solution.
Does anyone have the answer to this? Please and ty lol
A sum yields an interest of Rs. 900 at 15% simple interest per annum in 4 years. Find the sum.
Answer:
[tex]15[/tex]
[tex]i \: = prt \\ p = \: \frac{i}{rt} \: \: \: \: \: \: i = 900 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: r = 15 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t = 4 \\ p = \frac{900}{15 \times 4} \\ = \frac{900}{60} \\ [/tex]
[tex]p = \frac{30}{2} \\ = 15[/tex]
Factor out the greatest common factor of Given the expression: 4x^10 − 64x^2
Part A
4x10 – 64x2
= 4x2 * x8 – 4x2 * 16
= 4x2 * (x8 – 16) by distributive property
Part B
x8 is (x4)2 and 16 = 42 so a difference of squares is seen in the parentheses. The pattern a2 – b2 = (a + b)(a – b) can be used.
4x2 * (x8 – 16)
= 4x2 * (x4 + 4) * (x4 – 4)
x4 = (x2)2 and 4 = 22 so there is another difference of squares in the last factor. Use the pattern again.
= 4x2 * (x4 + 4) * (x2 + 2) * (x2 – 2)
Answer:
Below.
Step-by-step explanation:
The GCF = 4x^2
So its 4x^2(x^8 - 16)
This can be further factored
= 4x^2(x^4 - 4)(x^4 + 4)
= 4x^2(x^2 - 2)(x^2 + 2)(x^4 + 4)
List down 3 biotic and 3
abiotic components of
ecosystem mentioned in
the video clip. From the
given examples, how do
they affect other
organisms in the
community in this time of
pandemic?
Evaluate 5(x + 2) - 12 + 3 for x = 1
answers:
26
1
0
11
Answer:
Step-by-step explanation:
Putting value of x = 1
5(x + 2) - 12 + 3
5((1) + 2) - 9
5(3) - 9
15 - 9
6
Solve the equation.
x/-4-5=4
Answer:
x = -36
Step-by-step explanation:
Answer:
Step-by-step explanation:
-9x = 10 - 2y
-48 = 4x+10y
Answer:
x=−2 and y=−4
Step-by-step explanation:
I will solve your system by substitution.
(Add -4x to both sides)
(Add 48 to both sides)
(Divide both sides by -4)
(Simplify both sides of the equation)
(Add 2y to both sides)
(Add -108 to both sides)
(Divide both sides by 49/2)
(Simplify both sides of the equation)
Answer:
x=−2 and y=−4
I hope this helps :)
A car dealership pays $8,550 for a car. They markup the price by 20.4% to get the retail price. What is the retail price of the car at this dealership? *
Answer:
$9802.90
Step-by-step explanation:
$9802.90
Step-by-step explanation:
17.4% = 0.174
So retail price = 8,350 + 8,350 * 0.174
= $9802.90
5 chocolate bars cost £3.80
How much do 7 chocolate bars cost?
Step-by-step explanation:
divide 5 by 3.80 and then the multiply the answer by 7
Answer:
7 chocolate bars=£5.32
Step-by-step explanation:
3.80÷5=0.76(one chocolate bar)
0.76×7=5.32(7 bars)
I need help. i’m failing geometry
Answer:
x = 1 and y = 6
Step-by-step explanation:
so the opposite sides are equal to each other, therefore
4x + 7 = 12x - 1
and y + 1 = 3y - 11
so for the xs
start by adding 1 to each side
4x + 8 = 12x
subtract 4x from both sides
8=8x
divide by 8
x=1
for the ys
subtract one from each side
y= 3y -12
subract 3y from each side
-2y=-12
divide by -2
y=6
Which statement is true about the angle bisector AD of AABC?
Answer:
I installed
Step-by-step explanation:
Mo po ang photo lath promised masasa gutan mo po yan sana ma brainlest po ako salamat❤️❤️❤️❤️
The statement true about the angle bisector AD of triangle ABC is; AD is a perpendicular bisector of BC.
What are angle bisectors?Angle bisectors are lines that bisect the considered angle. Bisect refers to splitting into two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.
When an angle bisector points so, the two sides of the corner are equidistant. Its corner bisector of a triangle angle is a straight line splitting its angle into two congruent directions.
In such a single point, calling its incentives, which follow three-angle engineers are required of its three triangle angles.
Learn more about angles here:
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Evaluate the following expression
8 to the power of 3–9•2 divided by 3
Answer:
0.485 in decimals
8.
Look at this figure.
It has one triangle and one rectangle. True or false?
True
False
Checkin
skip
Answer:
true
Step-by-step explanation:
the triangle is on top of the rectangle
Answer:
ture because it has one of each
Step-by-step explanation:
so like that
What is the y-intercept of the line 3x – 4y = 24?
(-6, 0)
(0, -6)
(8, 0)
(0, 8)
Answer:
(0, -6)
Step-by-step explanation:
To find the y-intercept(s), substitute in 0 for x and solve for y.
3 × 0 - 4y = 24
y = -6
good luck, hope this helps :)
Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply. − 9 ⋅ ( 2 3 x ) + 9 ( 1 ) − 9 ⋅ ( 2 3 x ) − 9 ( 1 ) − 6 x + 9 − 9 ⋅ ( 2 3 x ) + 1 − 6 x − 9 − 6 x + 1
Answer:
•(-9 × 2x/3 + 1 × -9)
•-6x - 9
Step-by-step explanation:
Which expressions are equivalent to Negative 9 (two-thirds x + 1)?
Check all that apply.
Negative 9 (two-thirds x + 1) can be expressed as:
-9(2/3x + 1)
Expanding the brackets
(-9 × 2x/3 + 1 × -9)
-6x - 9
Therefore, the expressions that are equivalent to Negative 9 (two-thirds x + 1) is:
•(-9 × 2x/3 + 1 × -9)
•-6x - 9
Answer:
Its B and F
Step-by-step explanation: