The speed of the car is 41.7 m/s when the power is 1890 watts.
What is Proportion?Proportion is defined as an equation on which two or more ratios are made to be equal to each other.
It is given that the power, P is proportional to square of the Speed,s.
If P ∝ s², then P = k s², for some constant k.
When s = 45 m/s, P = 2200 watts
k = P / s² = 2200 / 45² = 1.086
∴ when P = 1890 watts,
1890 = 1.086 × s²
s² = 1740.331
s = 41.717 ≈ 41.7 m/s
Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.
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Find the 60th term of the arithmetic sequence -10, 8, 26,
Answer:
a₆₀ = 1052
Step-by-step explanation:
There is a common difference between consecutive terms , that is
8 - (- 10) = 26 - 8 = 18
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = 18 , then
a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052
Answer:
a(60) = 1052
Step-by-step explanation:
Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again. Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:
a(n) = -10 + 18(n - 1)
Therefore, the 60th term is
a(60) = -10 + 18(59), or
a(60) = 1052
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
Answer:
A is the best answer to give
BRAINLIST ???
Answer:
C a line that shows the set of all solutions to the equation
Step-by-step explanation:
y = -4x+7 is the slope intercept form of a line
The slope is -4 and the y intercept is 7
Use the example as a model. Simplify the expressions.
t^37=?
i
-i
1
-1
Answer:
Step-by-step explanation:
[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]
5/7 of a number is 55
work out the number.
please help with this question
Answer:
77
Step-by-step explanation:
Hope this helps..
Good luck.
Solve this equation
(X+1)/4 = x/2
Answer:
1 = x
Step-by-step explanation:
First eliminate the fractions by multiplying both sides by the LCD, which is 4:
x + 1 = 2x
Subtracting x from both sides yields 1 = x
Find the 75th term of the arithmetic sequence -21, -10, 1
Answer:
793
Step-by-step explanation:
Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.
So, -10--21=11 and also 1--10=11
so common difference is 11
now we will use the formula Asubn=Asub1+d(n-1)
D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1
Anyways, Asub75=-21+11(75-1)=793
What does this graph represent?
Question options:
not moving
acceleration
constant speed
Answer:
A or C
Step-by-step explanation:
f(x)=-3x^2 find f(-2)
Answer:
12
Step-by-step explanation:
f(-2)=3(-2)^2
f(-2)=3(4)
f(-2)=12
1. write a mathematical expression that explains the following sentence:
The sum of 4 and d, then multiply the result by 2
Answer:
(4 + d) × 2
Step-by-step explanation:
plss help po
grade 11 student topic
Answer:
1. f(3) = 11
2. f( 1 ) = 6
3. f(-2) = -5
Step-by-step explanation:
Note: I will only work on questions 1 and 2 in order to allow you to practice the techniques provided in this post, as you work on question 3. However, I will provide the correct answer for question 3, as your reference.
In order to evaluate each of the given functions, simply substitute the inputs provided in the function notation, f(x).
1. f(x) = 2x + 5, find f(3).To evaluate the given linear function, simply substitute x = 3 as an input into the function:
f(3) = 2x + 5
f(3) = 2(3) + 5
f(3) = 6 + 5
f(3) = 11
Therefore, the value of f(x) = 2x + 5 given f(3) is: f(3) = 11.
2. f(x) = x² + 2x + 3, find f(1)Similar to question 1, substitute x = 1 as the input of the given quadratic function.
f(x) = x² + 2x + 3
f( 1 ) = ( 1 )² + 2( 1 ) + 3
f( 1 ) = 1 + 2 + 3
f( 1 ) = 6
Therefore, the value of f(x) = x² + 2x + 3 given f( 1 ) is f( 1 ) = 6.
3. f(x) = 3x² + 5x - 7, find f (-2)If evaluated properly, the correct answer is: f(-2) = -5.
What is the missing numerator?
blank over seven minus three-eighths equals twenty-seven fifty sixths
4
5
6
7
Answer:
6
Step-by-step explanation:
6/7 - 3/8= 27/56
Answer:
it is 6
Step-by-step explanation:
solve by factoring x^2+5-14=0
Answer:
Factored -> (x+7)(x-2)
Step-by-step explanation:
If you are solving for x then its x= -7, x=2
Is it possible to draw a triangle whose sides have lengths 10.3 cm, 5.8 cm and 4.6 cm?Justify your answer.
(answer me fast kid)
Answer:
Yes it is possible
Step-by-step explanation:
let a = 10.3, b =5.8 , c= 4.6
a+b= 16.1>4.6=c
b+c=5.8+4.6=10.3>10.3=a
c+a=4.6+10.3=14.7>5.8=b.
calls for
1
4
4
1
cup of sugar and
2
3
3
2
cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar.
Answer:
Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar
Based on the information marked in the diagram, AMNP and AQRS must be
congruent.
N
R
ма
P
A. True
B. False
Answer:
Yes, it is true by AAS theorem.
The triangles ΔMNP and ΔQRS are congruent triangles
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔMNP
Now , let the second triangle be ΔQRS
where the measure of angle ∠MNP = measure of angle ∠QRS = 90°
And , the measure of side NP = measure of side RS
And , the measure of ∠NPM = measure of angle ∠RSQ
So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent by ASA theorem
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Properties of Exponents-
Simplify (4a⁵b⁶)⁴
~exponent
===========================
(4a⁵b⁶)⁴
= 4⁴ × (a⁵)⁴ × (b⁶)⁴
= 256 × (a⁵)⁴ × (b⁶)⁴
= 256a²⁰ × (b⁶)⁴
= 256a²⁰b²⁴ ✔️
~ nice to help you ^^
(4a⁵b⁶)⁴ = ?
= 4⁴ (a⁵)⁴ (b⁶)⁴
= 256a²⁰b²⁴
What are the x and y -intercepts for the equation 5x - 4y = 10
Answer:
x=2
y= -2.5
Step-by-step explanation:
x int
1.) set y to 0 (5x -4(0)=10
solve for 5x=10
y int
1.) set x to 0
solve for -4y=10
Answer:
x=2, y=-5/2
Step-by-step explanation:
to find the 'x' intercept, set the 'y' value to zero and solve:
5x - 4(0) = 10
5x = 10
x = 2
to find the 'y' intercept, set the 'x' value to zero and solve:
x(0) - 4y = 10
-4y = 10
y = -10/4 or -5/2
Factor 28z–32. what is the factor??????
Answer:
4(7z - 8)
Step-by-step explanation:
28 and 32 are both divisible by 4.
need help
on this problem
Answer:
4.6
Step-by-step explanation:
23/5=4.6
Can someone help me pls
What is the solution?
Answer:
(4, 4)
Step-by-step explanation:
y = 7/4 x - 3 graph (0, -3) (2, .5), (4, 4) (8, 11). Draw the line
y = x graph (0,0) (2, 2), (4, 4) , ( -2, -2). Draw the line
The two lines intersect at point (4, 4)
[tex] \: \: \: [/tex]
help me po
1.) if mHO =150° and mPO =80° what is the m∠HEO?
2.) if mMT =140° and mMHT =220° find m∠ MAT
answer 3-4 only
need properly answer
right answer= brainlist follow and thanks
nonsense answer will be reported
Answer:
b. secantc. 45°d. 35°d. 40°Step-by-step explanation:
1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."
__
2. The angle where chords cross is the average of the intercepted arcs:
(50° +40°)/2 = 45° . . . . measure of angle CSA
__
3. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(150° -80°)/2 = 35° . . . . measure of angle HEO
__
4. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(220° -140°)/2 = 40° . . . . measure of angle MAT
Please note that this is the supplement of arc MT between the tangents.
Answer:
The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.
Neuron Function: Food Preservation
Fertilizer Meaning: Exocrine Glands
Food Chain Examples: Cell Biology
Step-by-step explanation:
yo kya haal hai
HELP ASAP!!!
x3+y3+z3
Answer:
= k
Step-by-step explanation:
Find the solution set of this inequality. Enter
your answer in interval notation using grouping
symbols.
| 2x+3 | <= 3
Answer:
-3 ≤ x ≤ 0
Step-by-step explanation:
2x + 3 ≤ 3
2x ≤ 0
x ≤ 0
-2x - 3 ≤ 3
-2x ≤ 6
x ≥ -3
The following equation is true because of the distributive property, YES or NO.
2(y + 5) = 2y + 10
The answer is yes.
Step-by-step explanation:
The number outside the bracket gets multiplied with both the numbers inside the bracket.
8. The area of a rectangular fence is 500 square feet. If the length of the
fence is 25 feet, then find its width.
Answer:
20 square feet
Step-by-step explanation:
500/25 = 20
20x25 = 500
how do i simplify these?
. X x X x X
.Y x Y x Y x Y x Y
Hello!
X*X*X=X times X times X = X³
Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵
Hope it helps you! :)
Let me know if you have any query or need further explanation. :)
~A determined gal
[tex]MagicalNature[/tex]
this is due in less the 30 minutes and this is my last question on the assignment please help and show work. will give brainliest
Answer:
22,100
Step-by-step explanation:
Answer:
the answer in 18,300
Step-by-step explanation:
2 x 3 5/8= 7 1/4
7 1/4 +1 9/10= 9 3/20
9 3/20 / 2= 18 3/10
18 3/10 x 1000=18,300
Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get?
Answer:
how many kids are in each class though
I need help with these questions. Thanks!
Answer:
47.27°44.22°Step-by-step explanation:
Q1)The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(x) = 57/84
The inverse function is used to find the angle.
x = arccos(57/84)
x ≈ 47.27°
__
Q2)The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(x) = 53/76
The inverse function is used to find the angle.
x = arcsin(53/76)
x ≈ 44.22°