Answer: C. 7/9
Step-by-step explanation:
Please help! The object shown below has a mass of 5 kg and starts at rest. What is the acceleration of the object?
A.
20 m/s2
B.
2 m/s2
C.
50 m/s2
D.
150 m/s2
The acceleration of the object is 2 m/s²
Calculating AccelerationFrom the question, we are to determine the acceleration of the object
From Newton's second law of motion, we have that
F = ma
∴ a = F/m
Where F is the net force
m is the mass
and a is the acceleration
From the given information,
m = 5kg
From the diagram,
Net force = 30 N - 20N
Net force = 10 N
Then,
a = F/m
a = 10/5
a = 2 m/s²
Hence, the acceleration of the object is 2 m/s²
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8x²2x (1+4x) +2. determined if the simplified expression is quadratic
The quadratic expression is 64[tex]x^{4}[/tex] + 16x³ + 2.
The quadratic expression:
Any expression with the variables of the highest exponent or the expression's degree as 2 is a quadratic expression.
The given expression is 8x²2x( 1 + 4x) + 2
An expression of the form ax² + bx + c, where a ≠ 0 is called a quadratic expression.
8x²2x( 1 + 4x) + 2
Now apply the distributive property we have
8x² × 2x + 8x² × 2x × 4x + 2
16x³ + 64 [tex]x^{4}[/tex] + 2
64[tex]x^{4}[/tex] + 16x³ + 2
Therefore the quadratic expression is 64[tex]x^{4}[/tex] + 16x³ + 2.
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Factor completely. 2x³ - 4x² 30x
A (x+3)(x - 5)
B 2x(x² - 2x - 15)
2x(x+3)(x - 5)
- 5)
D 2x(x-3)(x
-
Hi! I'm just answering questions for points.
Which parent function is represented by the graph?
O A. Absolute value parent function
• B. Quadratic parent function
• C. Linear parent function
• D. Reciprocal parent function
Answer: D, reciprocal parent function
Step-by-step explanation:
Find the missing term of each geometric sequence. It could be the geometric mean or its opposite. 2/5,||| 8/45
The missing item in the given geometric sequence is: [tex]\frac{4}{15}[/tex].
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Given: [tex]\frac{2}{5}[/tex], ___, [tex]\frac{8}{45}[/tex]
Here, Let b = missing term of the geometric sequence.
By using the concept of geometric mean, we can find the missing term; geometric mean is used to find the mean, i.e., the middle term between two terms.
GM = [tex]\sqrt{(term_1)(term_2)}[/tex]
Here, b = [tex]\sqrt{\frac{2}{5}\times\frac{8}{45}}[/tex]
=> b = [tex]\sqrt{\frac{16}{25\times9}}[/tex]
=> b = [tex]\frac{4}{5\times3}=\frac{4}{15}[/tex]
Hence, The missing item in the given geometric sequence is: [tex]\frac{4}{15}[/tex].
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A particle P moves with constant velocity v. Initially P is at the point with position vector a. t seconds later P is at the point with position vector b. Find v when:
a= 2i + 3j, b= 6i + 13j , t = 2
Answer:
correct
Step-by-step explanation:
So the acute angle between the vectors is 7.122° (3sf). Explanation: The angle θ between two vectors →A and →B is related to the modulus.
The volume of a sphere is a function of its radius, V = (4/3) πr³ . Evaluate the function for the volume of a volleyball with radius 10.5cm .
[tex]V = 1.17 * 10^{-29} m^{3}[/tex] is volume of a sphere is a function .
What is surface area of volume?
The quantity of surface area per unit volume of an object or collection of objects is known as the surface-area-to-volume ratio, sometimes known as the surface-to-volume ratio and variously abbreviated as sa/vol or SA:V.
Convert the radius from picometers to meters
r = 141 pm = 1.41 * [tex]10^{-10} m[/tex]
V = 4/3 π r³
= 4/3 π ( 1.41 * [tex]10^{-10}[/tex])³
[tex]V = 1.17 * 10^{-29} m^{3}[/tex]
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What are the coordinates of D'' if -CD with vertices C(2,4) and D(8,7) is translated along <-6,2> and then reflected over the y -axis?
The coordinates of Parallelogram CDEF after a reflection across y = x are C'(-1,2), D'(1,7), E(-2,6) and (-4,1)
What does coordinate mean in this case?
To coordinate is to make plans for things to come together or to collaborate with another person to achieve a goal. Coordination occurs when all the details of a journey are planned. When you and a friend divide up a large science project and decide who will do what, that is an example of coordination.We want to find the coordinates of Parallelogram CDEF with vertices C(2, -1), D(7,1), E(6,-2), and F(1,-4) after a reflection across y = x.
We can find these coordinates by following the following rule:
Reflection over y = x rule : ( x , y ) ---> ( y , x )
the x and y values simply swap places .
Applying rule to coordinates:
C(2,-1) --- swap 2 and - 1 ---> C'(-1,2)
D(7,1) --- swap 7 and 1 ---> D'(1,7)
E(6,-2) --- swap 6 and -2 ---> E'(-2,6)
F(1,-4) --- swap 1 and -4 ---> F'(-4,1)
The coordinates of Parallelogram CDEF after a reflection across y = x are C'(-1,2), D'(1,7), E(-2,6) and (-4,1)
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Use your ruler and compasses to construct the angle bisector of angle ABC
Step-by-step explanation:
Step 1: Draw any angle, say ∠ABC. Step 3: Now, taking D and E as centers and with the same radius as taken in the previous step, draw two arcs to intersect each other at F. Step 4: Join B to F and extend it as a ray. This ray BF is the required angle bisector of angle ABC.
y varies directly with x .If y = (3/4) when x = (1/2) , find y when x=3
The direct variation is y = 3/2 x, the value of y for x = 3 is 9/2.
What is direct variation?A direct variation is defined as having variables that are directly proportional. When one variable's value rises, the other variable's value rises as well, and vice versa. Assuming k is constant, the following is how a direct variation is expressed:
y=kx
As y varies directly with x,
using direct variation,
y = kx
given, y = 3/4 when x = 1/2,
⇒ 3/4 = k 1/2
⇒ k = 3/2
when x = 3,
the value of y will be -
y = kx
⇒ y = 3/2. 3
⇒ y = 9/2
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If 7/2 meler of wire ris cut from a 2 piece of 10 meter long wire, how much wire is left?
The wire left is 16 1/2 meters.
How to calculate the fraction?From the information 7/2 wire is cut from piece of wire that is 2 piece of 10 meters.
Therefore, the wire that will be left will be:
= (2 × 10) - 7/2
= 20 - 7/2
= 20 - 3 1/2
= 16 1/2 meter
The wire left is 16 1/2 meters.
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What is the correct form of the partial fraction decomposition for the expression StartFraction 7 x + 18 Over x squared + 9 x EndFraction?
The correct form of the partial fraction decomposition for the expression 7x+18/x^2+9x is 2/x + 5/(x + 9).
What is the Fraction?
The numerator and the denominator are the two components of a fraction. The number displayed above the fractional bar is known as the numerator. As an illustration, the numerator in 6/7 is 6. Denominator: The fractional bar's lowermost number is designated as the denominator.Here,
x ² + 9x = x (x + 9), so the partial fraction decomposition would be
(7x + 18) / (x ² + 9x) = a/x + b/(x + 9)
where a, b are some constants. To find them, multiply both sides by x ² + 9x :
7x + 18 = a (x + 9) + bx
Solve for a and b :
7x + 18 = (a + b) x + 9a
[ a + b = 7
[ 9a = 18
→ a = 2, b = 5
So
(7x + 18) / (x ² + 9x) = 2/x + 5/(x + 9)
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The figure above shows a graph of a line that goes through the origin. What is the value of (k)/(h) ? (A) 4 (B) 3 (C) (4)/(3) (D) -(4)/(3) (E) "-4"
The value of (k)/(h) from the graph of a line that goes through the origin is 4.
What is a graph of a line?A line graph joins distinct data points that generally show quantitative values across an interval. Line graphs have two axes:
The x-axis (horizontal), andThe y-axis (vertical), which are visually expressed as (x,y).From the image attached below, the value of (h,k) as translated on the graph in the negative x and y axis shows that:
(h,k) = (-1,-4) in terms of (x,y) respectively.However, we are to determine the value of (k)/(h):
i.e.
(k)/(h) = -4/-1
(k)/(h) = 4
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You roll 3 dice. What is the probability that the outcome of at least two of the dice will be less than or equal to 4 ? Explain your reasoning.
6 out of 36 or I in 6 is the probability that the outcome of at least two of the dice will be less than or equal to 4 .
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic.There are 36 possible outcomes for rolling two dice.
There are six possible ways that the two dice will land on the same number, so the probability is 6 out of 36 or I in 6.
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Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.
The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into a vertex form, then we have
x² + (b/a)x + (c/a) = 0
x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be
(x - h)² + k = 0
The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.
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What is the rate of change? x intercept is (-1,0) and b is -4 if that helps at all
Answer:
-4
Step-by-step explanation:
In this case, rate of change will be equivalent to the gradient of the line.
Standard form of Equation of Line:
y = mx + c
where
m = Gradient
c = y - intercept
From the given information, we can substitute x = -1 and y = 0, and c = b = -4 (y-intercept) to find m (Gradient)
0 = -1m - 4
m = -4
Therefore, the rate of change is -4.
I need done before school please help!!
Solve each equation. 7+b=11(b-3)
The solution of the above equation 7 + b = 11(b - 3) is b = 4.
According to the given question.
We have a linear equation in one variable
7 + b = 11(b - 3)
Since, we have to solve the above equation for b.
As we know tha, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofore, the solution of the above equation 7 + b = 11(b - 3) is given by
7 + b = 11(b - 3)
⇒7 + b = 11b - 33 ( distributive property)
⇒ 7 = 11b - b - 33 (subtract b from both the sides)
⇒ 7 = 10b -33
⇒ 7 + 33 = 10b ( adding 33 both the sides)
⇒ 40 = 10b
⇒ 40/10 = b ( dividing by 10 both the sides)
⇒ 4 = b or b = 4
Therefore, the solution of the above equation 7 + b = 11(b - 3) is b = 4.
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Anyone pls help me rq
Answer:
m<LHK = 101
Step-by-step explanation:
Ok, so the straight line is equal to 180 degrees. And we already know the side of one angle, that is 79 degrees. So, simply subtract 79 from 180, and you get 101 degrees. I took geometry last year, and this might not be the "correct" way to do it, but it is easier and you get the same correct answer
Answer:
<LHK = 101
Step-by-step explanation:
angle on a straight line add up to 180
180 - 79 = 101
i need help solving this angle problem
Answer:
corresponding angles are equal
Step-by-step explanation:
89*=(6x+5)*
89-5=6x
84=6x
x=14
I hope I could help.
Combining functions to write a new function that models a real-world situation
The new function of T that models the real-world situation in terms of N is T = 560N + 750
How to write a new function that models the real-world situation?The equations of the functions are given as
A = 165N + 750
B = 395N
From the question, we understand that
T = A + B
Substitute the known values in the above equation
So, we have
T = 165N + 750 + 395N
Collect the like terms in the above equation
So, we have
T = 165N + 395N + 750
Evaluate the like terms in the above equation
So, we have
T = 560N + 750
Hence, the new function of T that models the real-world situation in terms of N is T = 560N + 750
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: Write in standard form
(a) 567000
..... (1 mark)
The standard form of a given number is scientific notation which is given by the form of exponents of ten and written as 5.67 ×10⁵.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
What is the standard form?Standard form is a way of writing down in the easy form very large or very small numbers.
Let E is the standard form of a given number
E = 567000
E = 500000 + 67000 + 7000
E = 0.567 × 10⁶ = 5.67 ×10⁵
E = 5.67 × 10⁵
Hence, the standard form of a given number is 5.67 ×10⁵.
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Which represents the inverse of the function f(x) = 4x?
O h(x) = x + 4
O h(x) = x-4
O h(x) = 3/4x
O h(x) = 1/4x
the answer to this question is
O h(x) = 1/4x
can someone please help meee
From the figures and the properties of the parallelogram was possible to find that: UT=27, ST=18, RV=7 and US=14.
Quadrilaterals
There are different quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, the opposite sides are equal and parallel, for a parallelogram. In a parallelogram is noted too that the opposite angles and the diagonals are equal.
From the properties: the opposite sides are equal and parallel for a parallelogram. It is possible to find:
UT=RS=27
ST=RU=18
Considering that UV=7, then VS= 7 since V is the midpoint of the diagonal US. Therefore, US=14.
From the property: the diagonals are equal for a parallelogram. It is possible to find:
US=RT=14
RV=RT/2=14/2=7
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Please help me with this
The complete table for the electrician charges is shown below:
x y
1 125
2 175
3 225
4 275
How to complete a table with two variables
According to the statement, there are two variables. First, the number of hours of work (x) and, second, the total fee. The total fee changes linearly with the number of hours and the expression is defined below:
y = x' + (Δy / Δx) · x (1)
Where:
x' - Base fee, in dollars.Δx - Change in time, in hoursΔy - Change in total fee, in dollars.x - Time, in hours.If we know that x' = 75, Δx = 1 h and Δy = 50, then the values of the table are shown below:
x = 1
y = 75 + 50 · 1
y = 125
x = 2
y = 75 + 50 · 2
y = 175
x = 3
y = 75 + 50 · 3
y = 225
x = 4
y = 75 + 50 · 4
y = 275
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Express 80 as the product of its prime factors
Write the prime factors in ascending order.
Answer:
Give brainliest - the crown thingy.
2*2*2*2*5
Or
2^4 * 5
The * is the symbol on my keyboard for the multiplication symbol.
Step-by-step explanation:
who is kay floxk i so confused so help me wit this
Do you mean Kay Flock? Because they are a rapper.
https://en.m.wikipedia.org/wiki/Kay_Flock
The temperature in the mountains at 3 PM is 5°C. By 8 PM, the temperature has fallen 7°. What is the temperature at 11PM?
Answer:
-6.2
=
7°c ÷ 5hrs (difference between 3pm to 8pm)= 1.4
3×1.4= 4.2
7+4.2=11.2
5-11.2=-6.2
(sorry if it's wrong)
yael used to have a square garage with 356ft ^2 of floor space. She recently built an addition to it. The garage is still a square but it now has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
The answers are given below:-
The length of one side of the garage originally was 17.9 ft.
The length of one side of the garage now is 21.9 ft.
The percent increase in the length of one side was 22.35%.
What is the area of a square?The area of a square of side s is given by s squared, that is:
A = s².
The original area was 320 ft², hence the original length was:
s² = 320
s = √(320)
s = 17.9 ft.
The area increased by 50%, hence the new area is:
A = 1.5 x 320 = 480 ft².
The current length of one side is:
s² = 480
s = √(480)
s = 21.9 ft.
The percent increase is the change divided by the initial length and multiplied by 100%, hence:
(21.9 - 17.9)/17.9 x 100% = 22.35%.
The percent increase in the length of one side was 22.35%.
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Evaluate each function for the given value of x , and write the input x and output f(x) as an ordered pair.
f(x) = (7/3)x-9 for x=3
f (3) = -2 is the output for the given input .
How can you tell whether a function is linear or not?
Looking at a function's graph will reveal if it is linear or not with the greatest ease.When a linear function is plotted on a graph, a straight line is formed. A nonlinear function is curved in some way; it does not form a straight line.f(x)= (7/3)x- 9
Put x = 3 ⇒ 7 * 3/3 - 9
⇒ 7 - 9
⇒ -2
Therefore f (3) = -2
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