Answer:
Step-by-step explanation:
A spring has a force formula of F = k*x
f = 125 N
x = 0.15 m
125 = k*0.15
k =833.33
F = ?
k = 833.33
x = 0.25 m
F = 833.33 * 0.25
F = 208.33 N
You could do this without solving for k
F1/F2 = x1/x2
F1 = 125 N
F2 = ?
x1 = 0.15
x2 =0.25
125 / F2 = 0.15 / 0.25 Cross multiply
125 * 0.25 = 0.15 * F2 Divide by 0.15
125*0.25 /0.15 = F2
F2 = 208.33 just as you got above
a triangle has a width of 4 cm and perimeter of 26 cm. find the length
Answer:
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plz help me in this question
Answer:
Article 2 is less than Rs.26700.15617
18(p+5) in a verbal expression
Answer:
Five greater than a number,the result is multiplied by 18
The verbal expression for 18(p + 5) is eighteen times the quantity obtained by adding five to a number p.
The verbal expression for the algebraic expression 18(p + 5) can be described as "Eighteen times the quantity obtained by adding five to a value represented by 'p'." This expression represents a mathematical operation where a given value 'p' is increased by five, and then the result is multiplied by eighteen. This type of expression is commonly encountered in various real-world situations where a value needs to be adjusted and then scaled up by a certain factor. In this case, the result reflects the outcome of multiplying the adjusted value by eighteen.
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I need help with this please help me
Find the inverse of the following
F(x) = 1/2x-1
3k = 126 ??????????????????????????
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{3k = 126}}[/tex]
[tex]\huge\boxed{\textsf{\bf DIVIDE 3 to BOTH SIDES}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{3k}{3}= \dfrac{126}{3}}}}[/tex]
[tex]\huge\boxed{\mathsf{\bf CANCEL\ out: \dfrac{3}{3}\ because\ it\ gives \ you\ 1}}}[/tex][tex]\huge\boxed{\bf KEEP: \dfrac{}{}\ because\ it\ answers\ for\ the\ }\\\huge\boxed{\bf k-value}[/tex]
[tex]\huge\boxed{\mathsf{k = \dfrac{126}{3}}}\\\huge\boxed{\mathsf{\dfrac{126}{3} = k}}[/tex]
[tex]\huge\boxed{\textsf{\bf SIMPLIFY ABOVE}}[/tex]
[tex]\huge\boxed{\mathsf{Therefore, your \ answer \ is: k = 42}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
R
5/3
S
Given right triangle QRS, what is the value of sin(30°)?
30°
5
V3
10
60°
o
o
V3
2
o
Answer:
1/2
Step-by-step explanation:
here ,
sin = p/h
or, sin (30⁰) = 5 /10
so sin (30⁰) = 1/2
The value of sin(30°) given triangle QRS is; 1/2
Trigonometric RatiosIn trigonometric ratios, we know that;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
From the given triangle, we see that;
Opposite side to the angle 30° is 5 while hypotenuse is 10.
Thus;
sin 30° = 5/10
sin 30° = 1/2
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Solve for the value of k
Answer:
4k-7 + 3k+ 6 = 90
7k -1 = 90
7k = 91
k=13
Step-by-step explanation:
Notice that if we add the 3 angles in the image, the outcome should be an angle of 180° (the one of the line alone)
With this, we will found that the answer is k = 13
Let's do the math, for the initial information we can write:
(4k - 7)° + 90° + (3k + 6°) = 180°
Where the 90° comes from the right angle, the one written with a little square.
Now we can solve this for k
(4k - 7)° + 90° + (3k + 6°) = 180°
(4k + 3k)° + (-7° + 90° + 6°) = 180°
7°k + 89° = 180°
7°k = 180° - 89° = 91°
k = 91°/7° = 13
So we found that the value of k is 13.
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Graph the line that passes through the points (-4,-6) and (-2,-7) and
determine the equation of the line.
Answer:
[tex]y=-\frac{1}{2}x-8[/tex]
Step-by-step explanation:
[tex](-4,-6)(-2,-7)[/tex]
Step 1. Find the slope (by using the slope-formula)
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-7--6}{-2--4}[/tex]
[tex]m=\frac{-1}{2}[/tex]
[tex]m=-\frac{1}{2}[/tex]
Step 2. Create the equation of a line that has a slope of [tex]-\frac{1}{2}[/tex]
[tex]y=-\frac{1}{2} x+b[/tex]
Step 3. Find the y-intercept
To do this, use any of the two points and substitute their x and y values
[tex]y=-\frac{1}{2}x+b[/tex]
point: [tex](-2,-7)[/tex]
[tex](-7)=-\frac{1}{2}(-2)+b[/tex]
[tex](-7)=1+b[/tex]
[tex]b=-7-1[/tex]
[tex]b=-8[/tex]
Step 4. Write the equation in Slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=-\frac{1}{2} x-8[/tex]
Four times the sum of two times X and six algebraic expression
Answer:
4(2x + 6)
Step-by-step explanation:
2 times x is 2x
The sum of 2 times x and 6 is 2x + 6
And we do 4 times that, making sure to put 2x + 6 in parentheses; we're multiplying 4 times the entire sum.
4(2x + 6)
Ajay is on the swim team. He improved his time on
the 50-yard freestyle from 32 seconds to 31 seconds.
What's the percent decrease in his time?
3.125%
3.23%
1.03%
3.2%
Answer: it should be 3.125%
Step-by-step explanation:
3.125% is the answer
Equation 2x²-5x+1 has roots alpha and beta. Form quadratic equation with roots (alpha² + 1/alpha²) and (beta²+1/beta²)
Step-by-step explanation:
please see in the picture below.All step by step procedure
g(x) = 3x2 – 2x +7
2x + 5
Find g(-1)
Answer:
ans...g(-1) is 4 . Is it true?
g( ‐1 ) = 7
Step-by-step explanation:
substitute your (x) value with ( ‐ 1)
How would I simplify this expression
Answer:
-3 - 16b
Step-by-step explanation:
by simply doing the multiplication and then add combinable terms.
9 - 4(3 + 4b) = 9 - 12 - 16b = -3 - 16b
Explanation:
Let's simplify step-by-step:
9-4(3 + 4b)
Distribute:
= 9 + (-4)(3) + (-4)(4b)
= 9 + (-12) + (-16b)
Combine Like Terms:
= 9 + (-12) + (-16b)
= (-16b) +(9 + (–12) )
= -16b + (-3)
Answer:
-16b + (-3)
Pv=nrt slove for n
I need this slove for n
Answer:
n = Pv/rtStep-by-step explanation:
Given:
Pv = nrtTo solve for n first isolate n:
nrt = PvDivide both sides by rt:
nrt/rt = Pv/rtn = Pv/rt[tex]\\ \sf\longmapsto Pv=nrt[/tex]
[tex]\\ \sf\longmapsto nrt=Pv[/tex]
[tex]\\ \sf\longmapsto nr=\dfrac{Pv}{t}[/tex]
[tex]\\ \sf\longmapsto n=\dfrac{Pv}{rt}[/tex]
The mean of 3 numbers is 7.two numbers are 4 and -5
Find the third number
Step-by-step explanation:
(-5+4+x)÷3=7
-5+4+x=21
x=21-4+5
x=22
l don't
know about this thing
Which graph represents a line with a slope of -1/2 and a y-intercept equal to that of the line y =2/3x – 2?
Step-by-step explanation:
I guess option 4 is the correct answer.
If y = 7,
Solve for x in 5y + 3x + 2y - 8x = -1
Step-by-step explanation:
Hi there!
Given; y= 7
5y + 3x + 2y - 8x = -1
Simply keep the value of y in the equation and simplify it;
5*7 + 3x -8x +2*7 = -1
35 - 5x +14 = -1
-5x = -1-49
X= -50/-5
Therefore, X= 10.
Hope it helps!
Hey there!
[tex]\textsf{5y + 3x + 2y - 8x = -1}[/tex]
➬ [tex]\textsf{7y - 5x = -1}[/tex]
➬ [tex]\textsf{7(7) - 5x = -1}[/tex]
➬ [tex]\textsf{49 - 5x = -1}[/tex]
➬ [tex]\textsf{ -5x + 49 = -1}[/tex]
[tex]\huge\boxed{{\bf SUBTRACT \ 49 \ to \ BOTH \ SIDES}}[/tex]
[tex]\textsf{-5x + 49 - 49 = -1 - 49}[/tex]
⇢ [tex]\textsf{CANCEL out: 49 - 49 because it gives you 0}[/tex]
⇢ [tex]\textsf{KEEP: -1 - 49 because it helps solve for your x-value}[/tex]
↱[tex]\textsf{-1 - 49 = -50}[/tex]↰
[tex]\huge\textsf{New EQUATION: \boxed{ \bf -5x = -50}}[/tex]
[tex]\huge\boxed{\textsf{\bf DIVIDE -5 to BOTH SIDES}}[/tex]
[tex]\mathsf{\dfrac{-5x}{-5}=\dfrac{-50}{-5}}[/tex]
⤳ [tex]\textsf{CANCEL out: } \mathsf{\dfrac{-5}{-5}} \textsf{ because it gives you 1}[/tex]
⤳ [tex]\textsf{KEEP: } \mathsf{\dfrac{-50}{-5}} \textsf{ because it helps you get the x-value}[/tex]
[tex]\huge\textsf{New EQUATION: \boxed{\bf x = \dfrac{-50}{-5}}}[/tex]
[tex]\mathsf{x = \dfrac{-50}{-5}}[/tex]
[tex]\mathsf{\dfrac{-50}{-5} = x }[/tex]
[tex]\huge\boxed{\bf SIMPLIFY \ ABOVE\ \& \ YOU\ HAVE}\\\huge\boxed{\bf YOUR\ RESULT \ OF\ THE \ X-VALUE}[/tex]
[tex]\mathsf{\dfrac{-50}{-10} = \bf 10}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: x = 10}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Pls help me with this.
Answer:
Step-by-step explanation:
Tom is selling tickets for a school show.
Tickets cost £4.50 if booked in advance,
and 10% extra if bought on the night.
In total 65 tickets are sold, of which 22 are bought on the night.
How much money is spent on tickets altogether?
(4d−6d3+3d2)−(10d3+7d−2) find the difference
Answer: -16d³ + 3d² - 3d + 2
Step-by-step explanation:
Given expression
(4d - 6d³ + 3d²) - (10d³ + 7d - 2)
Expand parentheses
(REMEMBER to change [+, -] signs when there is a [-] sign in before)
=4d - 6d³ + 3d² - 10d³ - 7d + 2
Put like terms together
=-6d³ - 10d³ + 3d² + 4d - 7d + 2
Combine like terms
=(-6d³ - 10d³) + 3d² + (4d - 7d) + 2
=[tex]\boxed{-16d^3+3d^2-3d+2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
-16d³ + 3d² -3d + 2
Step-by-step explanation:
(4d−6d³+3d²) − (10d³+7d−2) =
-6d³ - 10d³ + 3d² + 4d - 7d + 2 =
-16d³ + 3d² -3d + 2
Can you please help me solve this problem! And can you add step by step, please! Not really sure what to do?
Answer:
quadrilateral has 4 sides
so 104°+40°+110°+x=360°
254°+x=360°
collect like terms
x=360-254
x= 106
;- x=106
which is (c)
Answer:
x = 106°
Step-by-step explanation:
Using the angle marked 110° as my starting point,
One can use angles on a straight line sum up to 180° to find the angle that adds up to 110° which makes it 180,
thus 70°.
moving on,
tackling with the angle marked 40°, Using the fact that angles on a straight line sum up to 180°, the angle obtained will be 140° (40° + a = 180, a = 180° -40°, a = 140°)
Using the angle marked 104°, Just like the previous one Using the principle that angles on a straight line sums up to 180°, then the unknown angle will be 76°.
Finding all the other interior angles angles in the quadrilateral except the angle in line with the x,
the next step to take is to add up all the angles Using any variable and equate it to 360°
why? angles in this type of quadrilateral equals 360,
That is,
140° + 76° + 70° + y = 360
286 + y= 360
y = 360 - 286
y = 74
The final step now is to use the principle, ( angles on a straight line sums up to 180)
74° + x = 180
x = 180 - 74
x = 106°
Label where the adjacent, hypotenuse and the opposite is on this triangle please :)
Answer:
Here you go
Step-by-step explanation:
Please help by September 7th.
Answer:
The first of the 3 numbers is 11.
Step-by-step explanation:
Well all three would be 11,12,13 because 11+12+13=36. First number is 11
12x15 in exponential notation
Answer:
5(6^2)
BRAINLIEST, PLEASE!
Step-by-step explanation:
12 x 15 = 180
180/5 = 36
=5(6^2)
A number minus
11 is 3. How do you right it as a equation
THE Answer is
x-11=3
??
and the number is 14
Answer:
X - 11 = 3
Step-by-step explanation:
3 is the answer and 11 is the part that is being subtracted. In subtraction the smaller number comes second which is why the question says minus 11.
Using the whole number 5, Define the additive inverse and the multiplicative inverse
Given : The whole number is 5.
Explanation
We use the whole number 5.
The additive inverse of 'a' is -a
a+(-a)=0
For the whole number 5, the additive inverse of 5 is -5
Multiplicative inverse of 'a' is [tex]\frac{1}{a}[/tex]
because [tex]a \cdot \frac{1}{a}=1[/tex]
So the multiplicative inverse of 5 is [tex]\frac{1}{5}[/tex]
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hi can you help me ?
Answer:
5,400
Step-by-step explanation:
do the exponent which is 10x10=100 then add it to 5,300
8. A chair lift at a ski resort travels along the
cable as shown.
AY
6
4
O
U
w
w
2
t
0
0 2
4 6 8 10 12 14 16 18
1 unit = 10 ft
How long is the cable? Round your answer
to the nearest whole foot.
This value is approximate.
==========================================================
Explanation:
The cable is connected by these key points
A = (0,3)B = (6,5)C = (12,4)D = (18,2)Let's use the distance formula to find the length of segment AB.
[tex]A = (x_1,y_1) = (0,3)\\\\B = (x_2,y_2) = (6,5)\\\\d = \text{Distance from A to B} = \text{length of segment AB}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-6)^2 + (3-5)^2}\\\\d = \sqrt{(-6)^2 + (-2)^2}\\\\d = \sqrt{36 + 4}\\\\d = \sqrt{40}\\\\d \approx 6.325\\\\[/tex]
Segment AB is roughly 6.325 units long. You could use the pythagorean theorem as an alternative route instead of the distance formula.
If you repeated this process for the other segment lengths, then you should get these other approximate lengths.
BC = 6.083CD = 6.325Add up those three results:
AB+BC+CD = 6.325+6.083+6.325 = 18.733
The entire cable is roughly 18.733 units long.
Since 1 unit = 10 feet, we'll multiply that result by 10.
18.733*10 = 187.33 feet
This rounds to 187 feet which is the approximate length of the cable.
The length of the cable will be 187.2 feet long.
What is the distance between two points?Let one point be (x, y) and another point be (h, k). Then the distance between the points will be
D² = (x - h)² + (y - k)²
From the diagram, the length between (0, 3) and (6, 5), (6, 5) and (12, 4), and (12, 4) and (18, 2) will be the length of the cable (L).
[tex]\rm L = \sqrt{(6 - 0)^2 + (5-3)^2} + \sqrt{(12 - 6)^2 + (4 - 5)^2} + \sqrt{(18 - 12)^2 + (2 - 4)^2}\\[/tex]
Simplify the equation, then we have
L = √40 + √37 + √40
L = 6.32 + 6.08 + 6.32
L = 18.72 units
L = 18.72 x 10
L = 187.2 ft
The length of the cable will be 187.2 feet long.
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What is the measure of ZW?
Select the best answer from the choices provided.
A.530
B. 74°
C.106°
D.116
Answer:
B) 74
Step-by-step explanation:
This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z
Given:
<Y = <Z
All triangle angles add up to 180 so:
<W + <Y + <Z = 180
<W + 53 + 53 = 180
<W + 106 = 180
<W = 180 - 106
<W = 74