The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
Answer:
F=36
Step-by-step explanation:
F= 12 times 9 divided 3 = 36
The question requires calculating the objects mass in kilogram (kg)
The mass in kg of the objects is 4 kg
Given:
F = ma
Where,
F = Force (N)
M = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
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The successor of -18
Answer:
-17
Step-by-step explanation:
−18 + 1 = −17
Given g(x)=-x+3g(x)=−x+3, find g(1)
Answer:
g(1) = 2
Step-by-step explanation:
g(x)=−x+3
g(1)=
Let x = 1
g(1) = -1+3 = 2
can someone please help me with this
Answer:
∠ R = 58° , ∠ Q = 32°
Step-by-step explanation:
Complementary angles sum to 90°
∠ Q is 26° less than ∠ R , so ∠ Q = ∠ R - 26° , then
∠ Q + ∠ R = 90° , that is
∠ R - 26° + ∠ R = 90°
2 ∠ R - 26° = 90° ( add 26° to both sides )
2 ∠ R = 116° ( divide both sides by 2 )
∠ R = 58°
∠ Q = 58° - 26° = 32°
Identify the type of function represented by f(x)= (4).
A. Quadratic
B. Exponential growth
C. Linear
D. Exponential decay
This is an exponential growth function.
If we look at the number that is raised to the power of x, it is greater than 1. Though there is a fraction within this equation, it is not affected by the exponential.
Hope this helps!! :)
Answer: A
Step-by-step explanation:
Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?
The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C
Given the data :
Person 1 :
-3, - 1, 0, 2, Sum = (-3 + (-1) + 0 + 2) = - 2Person 2 :
4, -4, 2, - 3 Sum = (4 + (-4) + 2 + (-3)) = - 1Person 3 :
8, - 2, 5, 1Sum = (8 + (-2) + 5 + 1) = 12Mean value = (Total sum ÷ Frequency)
Mean value = [(-2 + (-1) + 12) ÷ 12]
Mean value = - 9 ÷ 12 = - 0.75
Therefore, the mean value of the result is 0.75°C
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Can someone tell me the answer to this please I got this wrong on my first attempt .-.
Answer:
B
Step-by-step explanation:
In similar triangles corresponding sides are in same ratio
[tex]\dfrac{CV}{CE}=\dfrac{CU}{CD}\\\\\\\dfrac{CV}{54}=\dfrac{14}{98}\\\\CV=\dfrac{14}{98}*84\\\\CV = \dfrac{1}{7}*84\\\\CV = 12[/tex]
Answer:
B) 12
Step-by-step explanation:
CD - 98
CE - 84
~
CU - 14
CV = 12
-
You set up a proportion: 98/84 = 14/x
x=12
A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.
Answer:
[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]
In ΔBCD, \text{m}\angle B = (5x+14)^{\circ}m∠B=(5x+14)
∘
, \text{m}\angle C = (x+19)^{\circ}m∠C=(x+19)
∘
, and \text{m}\angle D = (2x+19)^{\circ}m∠D=(2x+19)
∘
. What is the value of x?x?
Answer:
x = 16
Step-by-step explanation:
m<B+m<C+m<D = 180°
5x + 14 + x + 19 + 2x + 19 = 180
8x + 52 = 180
8x = 180 - 52
x = 128/8
x = 16
express ratio as a fraction in simplest form
a. 10 yards to 10 feet
hint *there are 3 feet in every 1 yard
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]
The polynomial x2+ 3x - 1 is a factor of x3 + 2x2 - 5x-6 true or false
Answer:
it's false
Step-by-step explanation:
I hope it helps
My friend needs help!
[tex] \frac{840}{1200} = 0.7 = \frac{7}{10} [/tex]
So, option (c) will be correct
Cheerio :)
Need help asap pls pls pls
Answer:
I would say the answer is A) y = x + 3
Step-by-step explanation:
Reason is, if you replace x with the different numbers listed under x and add 3 to them, they would equal the corresponding numbers listed under y.
For example:
x-value
⬇
(5) = (2) + 3
⬆
y-value
Hope this helps :)
Which equation represents a line parallel to 3x − 8y = 12?
The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4 so option (A) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given equation,
3x − 8y = 12
3x - 12 = 8y
y = (3/8)x - 12/8
By comparing y = mx + c
Slope m = 3/8
The parallel lines have the same slope thus y = (3/8)x - 4 will have the same slope of 3/8 so it will be parallel.
Hence "The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4".
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The complete question is below,
Which equation represents a line parallel to 3x-8y=12
A. y=3/8x-4
B. y=-3/8x-4
C. y=8/3x-4
D. y=-8/3x-4
I need help y’all pls I will give brainliest
Answer: (-2,-2)
Step-by-step explanation:
Start at finding the y-intercept(-3) then do rise over run with -2x
Rise over run is count up/down then left/right
solve for x
a) 30
b)45
c) 60
d) 90
What is the slope passing through the points (11,-5) and (1,20)
Answer:
-2.5 or -5/2
Step-by-step explanation:
To find the slope we need to find the change in y and divide it by the change in x:
m = change in y ÷ change in x
m = (-5 - 20) ÷ (11 - 1)
m = 25 ÷ -10
m = -2.5 or -5/2
Hope this helps!
4.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).
Answer:
D. The relationship is linear; y + 9= -4/5(x + 2).
Step-by-step explanation:
yes its linear because the x values increase by a constant value 4 and the y values by a constant value -5.
one general form for a linear equation is
y - y1 = m(x - x1) m = slope and (x1,y1) is a point on the line
from the data the slope iis (-7-(-2)) / (-5-(-9) = -5 / 4
so using the point (3, -17):-
y - (-17) = (-5/4) ( x - 3)
y + 17 = -5x/4 + 15/4
4y + 68 = -5x + 15
4y = -5x - 53
thats the equation of the line
how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)
Answer:
2q-1
Step-by-step explanation:
Add:
Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.
Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q
5/4q-1/4q is q
q+q is 2q
Now do the same thing with the numbers that doesn't have variables
1-4+2=-1
So the answer is 2q-1
Hope this helps!
Answer:
2q -1
Step-by-step explanation:
(5/4q + 1) + (q - 4) + (-1/4q + 2)
5/4q + 1 + q - 4 - 1/4q + 2
5/4q + q - 1/4q + 1 - 4 + 2
2q -1
evaluate 2/6 + 1/3 + 1/2 = ?
Answer:
2/6 + ⅓ + ½
= (2+2+3)/6
= 7 / 6
= 1⅙
Step-by-step explanation:
brainliest plz
Answer:
1 1/6
Step-by-step explanation:
Find the common denominator for 6, 3, 2
6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.
Convert all the fractions into sixths.
The first fraction is already done.
1/3..... the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.
1/3 x 2/2 = 2/6
1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.
1/2 x 3/3 = 3/6
Now you have
2/6 + 2/6 + 3/6 = 7/6
Simplify the answer
6/6 = 1 so remove 6/6 from 7/6 and you are left with just 1/6
So your answer will be 1 and 1/6 or 1 1/6
Needing help thanks!
erica recorded the number of sales she made during each of the first 4 months when she began her new career erica plottedthe data on a coordinate grid and she noted that the data correlate to an exponential equation as shown (image attached)
What is the domain of the function shown in the graph?
The domain of the function from the graph.
{10, 20, 40, 80}.
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The coordinates from the graph:
(1, 10), (2, 20), (3, 40), (4, 80)
The domain of the function from the graph.
= 10, 20, 40, 80
Thus,
From the graph, the domain of the function
{10, 20, 40, 80}.
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61,483
Х
13
Show your work
Answer:61,493
Step-by-step explanation:
I just used a calculator
Write a recursive formula for the sequence 2,-4,8,- 16,
PLEASE HELP ASAP!!!!!!!!
Answer:
[tex]2 \times { (- 2)}^{n - 1} [/tex]
PLEASEEE HELP ME WITH THIS QUESTION!!! I WILL MARK THE BEST ANSWER BRAINLIEST AND GIVE EXTRA POINTS!!
Answer:
Umm... I'd love to help but... you didnt post a question. Was that an accident?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The absolute value measures the distance from zero on a number line. A negative number will have the sign change,
A paint store sells exterior
paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in
standard form for the number of gallons x of paint and rollers y that a customer could buy with $190.
guys pls help me!!!!!!
Answer:
X would also be 59° due to the Corresponding property.
do 12,16, and 20 make a right triangle
Answer:
so yes it does :)
Step-by-step explanation:
There is a fourth category of triangles in which one of interior angles is of 90∘ . It is called right triangle. 1) 12,16,20 : 202=162+122 : True, hence right triangle
I need help please can anyone help.
Answer:
What do you need help on there’s nothing??
Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r
Answer:
[tex]v = \frac{rk}{2} + h[/tex]
Step-by-step explanation:
Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:
Start by multiplying both sides by k:
[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]
rk = 2(v - h)
Divide both sides by 2:
[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]
[tex]\frac{rk}{2} = v - h[/tex]
Add h to both sides to isolate v :
[tex]\frac{rk}{2} + h = v - h + h[/tex]
[tex]\frac{rk}{2} + h = v[/tex]
What is 15 percent of 120
Answer:
18
Step-by-step explanation:
Answer: 18
Step-by-step explanation:
15% is [tex]\frac{15}{100}[/tex] which is equal to 0.15
Multiply 0.15 times 120 and you will get the answer below:
0.15 × 120 = 18
