Answer:
F = -k × X
10 Newtons = -k × 5 cm -k = 10 N/5 cm
-k = 2N/cm
k = -2N/cm
The value of spring constant "k" is -2 N/cm. Thus, the correct answer is option D.
To find the constant of proportionality "k," we can rearrange the formula:
F = -k x x
Since we are given that a force of 10 Newtons produces an extension of 5 cm, we can substitute these values into the equation:
10 N = -k x 5 cm
To solve for "k," we divide both sides of the equation by 5 cm:
k = -10 N / 5 cm
Simplifying the expression:
k = -2 N/cm
Therefore, the value of "k" is -2 N/cm. Thus, the correct answer is option D.
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help! A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each political party that does or does not support the new law.
Which conclusions can be made from this table?
Select each correct answer.
For both parties, more members do not support the law than support the law.
Compared to the Republicans, the Democrats have a larger percentage of members who support the law.
More Republicans support than the law than do not support the law.
Among Democrats, a larger percentage do not support the law than support the law.
Support Do not support
Democrat 0.32 0.68
Republican 0.44 0.56
What i can see:
It seems this law isn't particularly majorly favored in either party. In a lot of cases one party will have the majority support and one will have minority support. Although it seems to be more favored amongst democrats.
Like "insert law here" may be more favored by republicans or align more to their usual values.
Another thing is that it seems that it is controversial and a large portion either supports or doesnt support this law in both parties.
Im no master politician ofc but i am interested in politics so, yeah :)
Answer:
Among Democrats, a larger percentage do not support the law than support the law.
For both parties, more members do not support the law than support the law.
Step-by-step explanation:
just finish the test
No trolling please. I will mark brainlist
Answer:
A) $35.80
B) $28.64
Step-by-step explanation:
I'm not sure tho it might be wrong
LIn runs for 25 sec at 8.2 meters per second . What is her finish point?
Answer:
205 meters
Step-by-step explanation:
25 * 8.2 = 205
Of the methods for solving systems of equations, which is best used when one equation is solved for either x or y, or can easily be solved for x or y?
Answer:
Elimination
Step-by-step explanation:
What is the next term in the sequence below?
1, 2, 4, 8, 16, . . .
A. 24
B. 32
C. 34
D. 64
B
the number doubles by itself
What is the range of this set of heights in centimeters? {140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178} 38 41 46 50
Answer:
50
Step-by-step explanation:
Given:
140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178
Arranging in ascending order (from the lowest to the highest)
= 132, 140, 142, 147, 149, 152, 158, 163, 165, 166, 168, 171, 173, 177, 178, 180, 180 181, 182
Range = highest number - lowest number
= 182 - 132
= 50
Answer:
50
Step-by-step explanation:
None
What is 4 and 2/3 written as a radical?
Answer:
14/3
Step-by-step explanation:
4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3
Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]
Answer:
[tex]{ \tt{27 = {3}^{3} }} \\ { \tt{}} \sqrt[4]{27} = {27}^{ \frac{1}{4} } \\ { \tt{ = {3}^{3( \frac{1}{4}) } }} \\ = { \tt{ {3}^{ \frac{3}{4} } }} \\ { \boxed{ \bf{a = 3 \: \: and \: \: k = \frac{3}{4} }}}[/tex]
What is the answer for this question
i think the answer is c :)
Answer:
(C.) sqrt(75)
Step-by-step explanation:
the simplification looks like this
1. 5 * sqrt( 3 )
2. sqrt(5 * 5 * 3)
3. sqrt(25 * 3)
4. sqrt(75)
PLEASE HELP! asap:)
i would really appreciate it
Answer:
[tex]{ \tt{ = 2\pi \: rh}} \\ = 2 \times 3.14 \times 12 \times 1 \\ = 75.4 \: {cm}^{2} [/tex]
The slope of the lines that passes through the points (-10,0) and (-13,3)
Answer:
-1
Step-by-step explanation:
The formula to find the slope of a line is:
[tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
where (x1, y1) and (x2, y2) are points on the line. We can substitute the points (-10, 0) and (-13, 3) into the formula and simplify:
[tex]\frac{3-0}{-13-(-10)} =\frac{3}{-13+10} =\frac{3}{-3} =-1[/tex]
This means the slope of the line is -1.
Step 3: Let LM = x. We know the lengths of the radii of each circle, so KL = 12 +
8 = 20. Add the length of KL to the diagram.
J
12 K
20
L
X
M
12
00
8
N
Answer:
Step-by-step explanation:
Step 3:
Let LM = x
OK = KP = 12 units [Radii of circle K]
LN = LP = 8 units [Radii of circle L]
Therefore, KL = KP + PL
KL = 12 + 8
= 20 units
Step 4:
Since, ΔKOM and ΔLNM are the similar triangles,
By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.
[tex]\frac{OK}{NL}=\frac{KM}{LM}[/tex]
[tex]\frac{12}{8}=\frac{x+20}{x}[/tex]
12x = 8(x + 20) [By cross multiplication]
12x = 8x + 160
12x - 8x = 160
4x = 160
x = 40
Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.
Answer:
Wavelength varies inversely with frequency.
Step-by-step explanation:
Wavelength varies inversely with frequency.
[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]
Where
k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.
Describe the graph of the line y = 15
A) line with slope of 15
B) crosses the x-axis
C) vertical line
D) horizontal line
find the slope of the line that contains (6,2) and (6,-3)
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 2) and (x₂, y₂ ) = (6, - 3)
m = [tex]\frac{-3-2}{6-6}[/tex] = [tex]\frac{-5}{0}[/tex]
Division by zero is undefined , then slope is undefined
En las olimpiadas de Matemática. Roció represen a su colegio. La prueba consistía en 60 problemas. Cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra. Luego del examen. Roció obtuvo un puntaje de 155. Ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas
Answer:
Rocío respondió 43 preguntas correctas y 17 incorrectas.
Step-by-step explanation:
Dado que en las olimpiadas de Matemática, Rocío representó a su colegio, y la prueba consistía en 60 problemas, de los cuales cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra, y luego del examen, Rocío obtuvo un puntaje de 155, y ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas, para determinar dicha duda se debe realizar el siguiente calculo:
60 x 4 = 240
40 x 4 - 20 = 140
45 x 4 - 15 = 165
42 x 4 - 18 = 150
43 x 4 - 17 = 155
Por lo tanto, Rocío respondió 43 preguntas correctas y 17 incorrectas.
A group of hospital workers belonging to a union each earn the same hourly wage. The union dues are 2 percent of each paycheck regardless of whether the employee works full-time, half-time, or quarter-time. Does this mean that the amount of money deducted will be the same for all the employees?
Answer:
No, different amounts will be deducted.
Step-by-step explanation:
Because the amount deducted is a percent, it changes based on the total amount.
For example, If someone takes 10% of $100, they will have taken $10. And if they take 10% from someone who has $10, they will have taken $1.
Good luck!
Find the length of the mid segment (median)
Answer:
13
Step-by-step explanation:
Median of a trapezoid = sum of 2 bases divided by 2
Bases = 10 and 16
Median = (10 + 16)/2
10 + 16 = 26
26/2 = 13
Median = 13
2(2x+1)-9.2x+4=0
[tex] 2^2x + 1 - 9.2 ^x + 4 = 0 [/tex]
[tex]\displaystyle\2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]
x + 9x + 5 = 35 . Find value of x.
Answer:
x = 3
Step-by-step explanation:
x + 9x + 5 = 35
=> x + 9x = 35 - 5
=> x + 9x = 30
=> 10x = 30
=> x = 30/10
=> x = 3
Answer:
x = 3
Step-by-step explanation:
Combine like terms. Like terms have same variable with same exponent.
Here x and 9x are like terms
x + 9x + 5 = 35
10x + 5 = 35
Subtract 5 from both sides
10x + 5 - 5 = 35 - 5
10x = 30
Divide both sides by 10
10x/10 = 30/10
x = 3
Solve the following system. The solution set {( , ), ( , )}.
Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does Tom earn per hour?
Multiplication
Subtraction
Addition
Division
Answer:
Tom earns $7.00 per hour
nate and laura picked 20 apples laura picked 1/2 of what nate picked
how many did nate pick?
Answer:
10
Step-by-step explanation:
20÷2=10 the half of 20 is 10 simple as that
Answer:
ok so together they picked 20 apples so
20=y+1/2y
y=40/3 or 13 1/3
thats how many nate picked and we divide by 2
6 2/3
Hope This Helps!!!
which relation is a function?
The first one because there is only one y value for every x value. The correct option is first.
To determine if a relation is a function, use the vertical line test: If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function. On the other hand, if every vertical line intersects the graph of the relation at most once, then the relation is a function.
In first relation is considered a function, because each input x-value is associated with exactly one output y-value. In other words, for every x-value in the domain of the relation, there can be only one corresponding y-value in the range. Each x-value should not have more than one y-value associated with it.
Therefore, each x-value should not have more than one y-value associated with it. The correct option is first.
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7) Qual número deve ser acrescentado a expressão 16x² - 2x, para que se obtenha um trinômio quadrado perfeito? * 5 pontos 1/3 1/2 1/4 1/5
Respuesta:
1
Explicación paso a paso:
Para completar el cuadrado tendremos que sumar la mitad del cuadrado del coeficiente de x a la expresión;
Coeficiente de x = -2
Mitad del coeficiente = (-2/2) = -1
Tomando el cuadrado del resultado = (-1) ^ 2 = 1
Por lo tanto, el número que se debe sumar para obtener un cuadrado perfecto es 1.
(5^3)^5 please need help on this one
Answer:
Step-by-step explanation:
[tex](5^3)^5=5^{15}[/tex] which is absolutely huge. In scientific notation it is
3.051757813 × 10¹⁰
Answer:
(5×5×5)=125
125^5=30,517,578,125
final answer=30,517,578,125
[tex]factories : - \\ \\ p {}^{2} + 8p - 84[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (p - 6)(p + 14) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {p}^{2} + 8p - 84[/tex]
[tex] = {p}^{2} + 14p - 6p - 84[/tex]
Taking [tex]p[/tex] as common from first two terms and [tex]6[/tex] from last two terms, we have
[tex] = p(p + 14) - 6(p + 14)[/tex]
Taking the factor [tex](p+14)[/tex] as common,
[tex] = (p - 6)(p + 14)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
Find the value of cos H rounded to the nearest hundredth, if necessary
Answer:
0.6
Step-by-step explanation:
cos H = GH/FH
FH^2=20^2+15^2
FH^2=400+225=625
FH=25
cos H= 15/25=3/5=0.6
===========================================================
Explanation:
Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.
a^2 + b^2 = c^2
c^2 = a^2 + b^2
c = sqrt(a^2 + b^2)
c = sqrt(15^2 + 20^2)
c = 25
The hypotenuse is 25 units long, which is the length of segment FH.
Now we can find the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(H) = GH/FH
cos(H) = 15/25
cos(H) = 3/5
cos(H) = 0.6
foiuhgfdknsmlaeszxcyfvugbihnoj
Answer:
Given : A=(1,2)≡(x
1 ,y
1
) and B=(3,−2)≡(x
2
,y
2
)
Let M=(x,y) be the midpoint of AB
x=(
2
x
1
+x
2
) and y=(
2
y
1
+y
2
)
Then, x=
2
1+3
and y=
2
2−2
⟹x=2 and y=0
∴M=(2,0)
∴ Coordinates of the midpoint of AB is (2,0)
Step-by-step explanation:
How many solutions are there to the equation below? 9(x – 4) = 9x – 33
Answer:
There are 0 solutions
Step-by-step explanation:
9(×-4)=9×-33
9×-36=9×-33
9×-9×-36=-33
-36=-33 and it's impossible
so there's 0 solutions