Since it varies directly as q and partly inversely as q^2 it is represented has this below
p = aq + b/q^2
The constants of proportionality here are a and b
11 = 2a + b/4 ----- i x 5
25.16 = 5a + b/25 ------ ii x 2
Multiply equation i by 5 and equation ii by 2
55 = 10a + 5b/4 ----- iii
50.32 = 10a + 2b/25 ----- iv
Subtract equation iv from equation iii
b = 4
Put the value of b in equation iv
50.32 = 10a + 8/25
Multiply through by 25
1258 = 250a + 8
a = 5
p =5q + 4/q^2
Therefore using this equation put into the equation the value of q which is 7
p = 5(7) + 4/(7)^2
p = 35 +4/49
p = 35.082
hope this helped.
What is the perimeter of PQRS?
please try to explain if possible
Answer:
[tex]4 \sqrt{13} + 2 \sqrt{97} [/tex]
The solution to 7x = 42 is x =
4
5
6
7
Answer:
6
Step-by-step explanation:
To find x, you have to divide 42 by 7. 42/7 equals 6, so x=6.
Select all that apply.
What types of triangles have at least two acute angles?
obtuse
isosceles
equilateral
right
HI PLEASE HELP ME QUICK I DON'T UNDERSTAND THIS
Here is a set of signed numbers: 7, -3, 1/2, -.8, .8, 1/10, -2
1) If their numbers represent temperatures in degrees Celsius, which is the coldest?
Answer:
-3 would probably be the coldest
Step-by-step explanation:
based on my research the higher the number in celsius the hotter it is. the lower the number the colder it is. and since -8 is the lowest it is the coldest temperature.
also may i ask what you dont understand? i can help you
edit
so the choices are
7 , -3 , 1/2 , -0.8 , 0.8 , 1/10 , - 2
we can ignore the choices without the negative signs so..
-3, -0.8, and - 2
is what we have left
-0.8 would not be the coldest because it is not the lowest value
-2 would not be the coldest because it is not the lowest value
-3 is the coldest because it is the lowest value.
You may think that -3 should be the highest since it has "3", but in negative its different. -1 would be greater than -5 because it is closer to 0
Determine if true:
3^3x4=108
Answer:
True
Step-by-step explanation:
3³ x 4
= 3 x 3 x 3 x 4
= 9 x 12
= 108
True
Answer:
True
Step-by-step explanation:
3^3=27
27x4=108
108=108
The equations match.
Hence, the equation is true.
If the integral from 2 to 3 of f of x, dx equals 5 and the integral from 3 to 10 of f of x, dx equals 12, then what is the value of integral from 10 to 10 of f of x, dx?
Answer:
[tex]\int\limits^{10}_{10} {f(x)} \, dx=0[/tex]
Step-by-step explanation:
Question
If [tex]\int\limits^3_2 {f(x)} \, dx=5[/tex] and [tex]\int\limits^{10}_3 {f(x)} \, dx=12[/tex], then what is the value of [tex]\int\limits^{10}_{10} {f(x)} \, dx[/tex]?
Answer and Explanation
Assuming you typed your question right, since the upper and lower bounds are the same, then there's no area underneath the curve of f(x), so [tex]\int\limits^{10}_{10} {f(x)} \, dx=0[/tex]
y + 8.63 = 11.001
HELP! what does y equal to?!?
Answer:
2.371
Step-by-step explanation:
11.001 - 8.63 = 2.371
Sam must decide whether to take the train or drive his car
to work. The store where he works is 25 miles from his
house. Sam's car gets 19 miles to a gallon of gasoline. He
pays $1.20 per gallon of gasoline. A book of 34 round-trip
train tickets costs $175. Which method of transportation
will cost less per day? How much less per day?
Answer:
yes good job and a few years back to school in new York City to be the first time since I've seen this before
what is 14 by 30 in its simplest form?
Answer: 7/15
Step-by-step explanation:
14 divide by 2 is 7
30 divide by 2 is 15
What is the product of 79 x 81 and explain.
Answer:
79x81 = 6399
Step-by-step explanation:
If the equation y=5(1.7)^x is plotted on a semi-log scale graph, then the linearized equation will be log(y)=mx+b, where m=_____?_____ and b=____?_____.
Answer:
m=1.7 and b=5
Step-by-step explanation:
5= the y intercept
1.7= the slope that's why it has x as its exponent. Because in mx+b the slope is the one that keeps being multiplied.
3(x-y) when x=4 and y=1
Answer:
8
Step-by-step explanation:
Plug in variables: 3(x-y)=3(4-1)
Distribute: (3*4)-(3*1)
Solve: 12-3=8
help me please i need it rn
TRANSLATE EACH PROBLEM INTO MATHEMATICAL EQUATION THEN SOLVE WITH SOLUTION
[tex] \rm \: this \: month, \: Mikasa \: earned \: only \rm \frac{-3}{4} \:of \: his \: earning \: last \: month\: if \: his \: earning \: last \: month \: is \: 12,600 \: how \: much \: did \: he \: earn \: this \: month [/tex]
Answer:
9450
Step-by-step explanation:
3/4(12600)=X
12600*.75
9450
three fourths of last month's is three forths of 12600 therefore giving you the equation 3/4(12600)=x
Evaluate :
[11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2
Answer:
4406/117
Step-by-step explanation:
Order of operations PEMDAS
Parentheses:
[11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2
= [11 - 20 ÷ 39 ÷ 3 + 8] x 2
Multiply or divide:
⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2
= [11 - 20/117 + 8] x 2
Parentheses:
⇒ [11 - 20/117 + 8] x 2
= 2203/117 x 2
Multiply or divide:
⇒ 2203/117 x 2
= 4406/117
Evaluating the expression using BODMAS:
Work
Step-1: [11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2
Step-2: ⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2 [Bracket subtraction]
Step-3: ⇒ [11 - 20/39 ÷ 3 + 8] x 2 [Bracket division]
Step-4: ⇒ [11 - 20/39 x 1/3 + 8] x 2
Step-5: ⇒ [11 - 20/117 + 8] x 2 [Bracket multiplication]
Step-6: ⇒ [19 - 20/117] x 2 [Bracket addition]
Step-7: ⇒ [2223/117 - 20/117] x 2
Step-8: ⇒ [2203/117] x 2 [Bracket subtraction]
Step-9: ⇒ 2203/117 x 2
Step-10 ⇒ 4406/117 (Final Answer) [Multiplication]
Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-The length of the part is 16 centimeters The part of new engine is composed of 1 cone, 1 cylinder and 1 hemisphere The width of the engine is 6 cmThe height of the cone is 5 cmTo Find :-We have to find the total volume of the part Let's Begin :-Let divide the part of engine into three parts as it is composed of 3 different figures.
We know that,
Volume of cone
[tex]\bold{=}{\bold{\dfrac{ 1}{3}}}{\bold{{\pi}r^{2}h}}[/tex]
Here, we have,
The height of the cone is 5 cmThe diameter of the cone is 6 cmTherefore, Radius of the cone = 3 cmSubsitute the required values,
Volume of the first part that is cone
[tex]\sf{=}{\sf{\dfrac{ 1}{3}}}{\sf{ {\times}3.14{\times}(3)^{2}{\times}5}}[/tex]
[tex]\sf{=}{\sf{\dfrac{ 1}{3}}}{\sf{ {\times}3.14{\times}9{\times}5}}[/tex]
[tex]\sf{ = 3.14 {\times} 3 {\times} 5 }[/tex]
[tex]\sf{ = 3.14 {\times} 15 }[/tex]
[tex]\sf{ = 3.14 {\times} 15 }[/tex]
[tex]\bold{ = 47.1 cm^{3} }[/tex]
Thus, The volume of cone is 47.1 cm³ .
For second part Second part is composed of cylinderWe know that,
The volume of cylinder
[tex]\bold{ = {\pi}r^{2}h }[/tex]
Here,
The diameter of the cylinder is 6 cmSo, Radius = 3 cmThe length of the cylinder = 16 - (Length of cone + Length of hemisphere) Length = 16 - 11 = 5 cmSubsitute the required values in the above formula,
Volume of the second part that is cylinder
[tex]\sf{ = 3.14{\times} (3)^{2}{\times} 5}[/tex]
[tex]\sf{ = 3.14{\times} 9 {\times} 5}[/tex]
[tex]\sf{ = 3.14{\times} 45 }[/tex]
[tex]\bold{ = 141.3 cm^{3}}[/tex]
Thus, The volume of the cylinder is 141.3 cm³
For third partThird part is composed of hemisphereWe know that,
Volume of hemisphere
[tex]\bold{=}{\bold{\dfrac{ 2}{3}}}{\sf{ {\pi}r}}[/tex]
Here,
The diameter of the hemisphere is 6 cmSo, Radius = 3cmSubsitute the required values,
Volume of third part that is hemisphere
[tex]\sf{=}{\sf{\dfrac{ 2}{3}}}{\sf{{\times} 3.14 {\times}3}}[/tex]
[tex]\sf{ = 2 {\times} 3.14 }[/tex]
[tex]\bold{ = 6.28 cm^{3} }[/tex]
Thus, The volume of the hemisphere is 6.28 cm³
Therefore,The total volume of the part
= Volume of cone + Volume of cylinder + Volume of hemisphere
[tex]\sf{ = 47.1 + 141.3 + 6.28 }[/tex]
[tex]\sf{ = 188.4 + 6.28 }[/tex]
[tex]\sf{ = 194.68 cm^{3} }[/tex]
[tex]\bold{ = 194.7 cm^{3} }[/tex]
Hence, The total volume of the part is 194.7 cm³ .
PLEASE HELP URGENT!!! Cannot figure this out, due tonight.
Answer:
38, 5
Step-by-step explanation:
f(8) = 38
f(x) = 2, x = 5
The graph of the relationship between the side length of a square and its area is an
example of a quadratic function. A quadratic function is a function written in the form
Y=ax squared+ bx + C, where a, b, and c are any numbers, and a is not equal to zero.
What are the values for a, b, and c in this equation? How does your equation fit the
definition of a quadratic function?
Step-by-step explanation:
In the formula l2 = h2 +r2, l=25 and r=7, then the value of h is
Fill in the missing number - + 38=100
Some people advise that in very cold weather, you should keep the gas tank in your car more than
half full. Lou's car had 5.1 gallons in the 12-gallon tank on the coldest day of the year. Lou filled the
tank with gas that cost $3.90 per gallon. How much did Lou spend on gas?
Answer:
The least amount he could spend to get his car above half full would be $3.90
Explanation:
Half of 12 is 6 therefore 6.1 is above half.
6.1 minus 5.1 is 1.
If gas is $3.90 per gallon then,
3.90
* 1
is 3.90
Check whether the given value of is a solution to the equation. Justify your answer.
Answer: Yes, because it is how to do it.
Step-by-step explanation:
Factor the expression using the GCF.
12y - 8
do u need step by step or do u just need the answer cuz the answer is 4(3y-2)
Three specialists can complete in 1 hour the job their 5 assistants usually do in 1 hour. Suppose eight specialists can complete a certain job in 9 hours. How many assistants can complete the same job in 10 hours?
Answer:
12 Assistants
Step-by-step explanation:
If 5 assistants can do same job as 3 specialists. You could say 1 specialist is equivalent to 5/3 Assistants.
So a job 8 specialists can complete in 9 hours. 8*5/3 Assistants can complete the same job in 9 hours.
40/3 Assistants - 9 hours - 1 job
X Assistants - 10 hours - 1 job
Here if we give assistants more time, fewer assistants will be needed (inversely proportional). Here, the factor or ratio of increase in time from 9 to 10 is 10/9 or 9 * 10/9 = 10.
The number of assistants needed will be 40/3 divided by 10/9 which is
40/3 * 9/10 = 12.
i need help with this question
Answer:
70
Step-by-step explanation:
Since UT = VW, 5x + 5 = 4x + 20
x = 15
UV = 6x - 20 = 6(15) - 20 = 70
rewrite the expression in the form k*x^n : (12square root of x)/4x^3
Answer:
could you repost the same question so i can understand it better ?
Step-by-step explanation:
<3
Use the substitution method to solve the system of equations.
5x+2y=1
Y=-x+2
Answer:
X = -1
Step-by-step explanation:
Rewrite equations:
y = -x + 2; 5x + 2y = 1
Step: Solve y = -x + 2y = 1 for y:
y = -x + 2
Step: Substitute -x + 2 for y in 5x +2y =1 :
5x +2y = 1
5x +2 (-x+2) =1
3x + 4 =1 (simplifiy both sides of the equation)
3x + 4 + - 4 = 1 + -4
(Add -4 to both sides)
3x = -3
3x/3 = -3/3 (Divide both sides by 3)
x = -1
Answer: I believe the (-1,3) is the answer! (hope this helps!)
If yz bisects the angle AYX, then ∆YXZ= ∆YAZ.
A). True
B). False
False
Answer:
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
i just did the quiz so trust
Which equation represents the graph?
Can someone please solve this (and if you do please explain how and why you solved it that way)
Answer:
502.4 yd^2 for the first one
Step-by-step explanation:
For the first one, because the formula to find the lateral surface value is L.S.A = 2πrh, we can then plug in the values to get this:
2(3.14)(2)(40) = 502.4 yd ^2
The total number of blocks y is the cube of figure number x
Answer:
4;64
5;125
Step-by-step explanation:
Find the cube of the number
E.g. (5x5)x5
=25x5
=125
Answer:
Option C
Step-by-step explanation:
The total number of blocks y is three raised to the figure number x.
y = x³
write a point slope equation for the line that goes through the point (2,-3) and has slope 4
Step-by-step explanation:
As per given Information
Slope m = 4
That line goes through the point (2,-3)
Using Point Slope Form
y - y₁ = m ( x - x₁)where,
y₁ = -3
x₁ = 2
from the given information
On putting the value we obtain
↝ y-(-3) = 4 ( x - 2)
↝ y + 3 = 4x - 8
↝ y = 4x -8 - 3
↝ y = 4x - 11
So, the point slope equation for that line is y = 4x-11 .
32% of a lottery amount is given as first prize at 28% as a second price is the first price is 32580 naira how much is the second prize worth
Answer:
The second prize is worth $15325.632
Step-by-step explanation:
32580 + 68% = 54734.4 then 54734.4 minus 72% = 15325.632.
Are you sure that's the right question?