Answer:
The question is meaningless without the definition of the function g(x).
at which point or points (marked a-e) is the object moving the slowest without being at rest? explain your reasoning.
In the given position-versus-time graph, the object moving the slowest without being at rest is at point B.
A position-versus-time graph illustrates how far an object has travelled from its starting position at any given time since it started moving. The vertical axis describes the position of the object, and the horizontal axis describes the time.
The slope of the graph indicates the speed of the moving object. Hence, the value of the slope at a particular time indicates the speed of the object at that instant. Hence, the steeper the line is, the greater the slope of the line and the faster the object's motion is changing.
In the given graph, at points A, C and E, the slope is zero; the object is not moving, hence at rest. At the point, D slope is steeper as compared to the slope at point B. Hence, the object is moving slower at point B as compared to point D.
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--The given question is incomplete; the complete question is
"The figure shows the position-versus-time graph for a moving object. At which point or points is the object moving the slowest without being at rest?"--
Find the slope of each line.
Answer:
m = 1/4
Step-by-step explanation:
Slope is defined as
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
There are two solid points
(4,0) (-4,-2)
So using that equation
=(-2-0)/(-4-4)
=(-2)/(-8)
=1/4
Slope is 1/4
In one class, homework is worth 55% of the final grade, each of 3 projects is worth 10%, and a final exam is worth 15%. (a) If a student has an 82 homework average and a 96 on the first project, what is the student's grade at this point? (b) If the same student from part (a) gets a 74 on the second project and a 71 on the third project, what is the lowest grade the student can get on the final exam to overall in the course? (a) The grade at this point is (Simplify your answer. Round to the nearest tenth as needed.)
The worth of the homework is 55% and worth of final exam is 15%. The worth of each three projects is 10%
a) Finding the student's grade, If a student has an 82 homework average and a 96 on the first project.
Students grade = 82(55%) + 96(15%)
= 45.1 + 14.4
Students grade= 59.5
(b) Finding the lowest grade the student If a student gets a 78 on the second project and a 76 on the third project.
Let G be the lowest grade in the final exam.
It was stated that the lowest grade the student can get on the final exam to get an 80 overall in the course:
82(55%) + (96 +74 + 71)(25%) +G (15%)= 82
45.1 +60.25 + G0.15 = 82
Making G the subject of the relation we have
G0.15 = 82 -105.35
G0.15 = --23.35
G= 155-100
Therefore the lowest grade is 55
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Identify the 3 digit number of the millions period in 114,475,802.
Need help will reward
Answer:
1296
Step-by-step explanation:
2 | 36
3 | 216
the pattern is 6^x
so 6^4 is 1296
a)A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor. find the area of the floor and thr volume of thr pod.
b) A lap pool has a length of 24 yards, a width of 23 yards, and a depth of 5 yards. find the pool's suface area(the water surface) and the toral volume of water thatbthe pool hoods
c) A A raised flower bed is 40 feet long, 5 feet wide, and 1.8 feet deep. find the area of the bed and the volume of soil ot holds.
please i need answer right now help
a) The area of the floor A = 247 feet² volume of the pod is V = 1,235 feet³
b) The surface area of the lap pool is S = 1,574 yards² and the volume of the pool is V = 2,760 yards³
c) The area of the bed soil is A = 200 feet² and the volume of the bed soil is V = 360 feet³
What is the volume of a Cuboid?A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The volume of a cuboid is the product of its length , width and height
The volume of the cuboid is given by
Volume of Cuboid = Length x Width x Height
Given data ,
a)
Let the length of the pod be L = 19 feet
Let the width of the pod be W = 13 feet
Let the height of the pod be H = 5 feet
Now , the area of the floor = L x W
Substituting the values in the equation , we get
The area of the floor = 247 feet²
Now , the volume of the floor V = L x W x H
Volume of the pod = 247 x 5
Volume of the pod = 1235 feet³
b)
Let the length of the pool be L = 24 yards
Let the width of the pool be W = 23 yards
Let the height of the pool be H = 5 yards
Now , the surface area of the pool = 2 ( LH + LW + HW )
Substituting the values in the equation , we get
The surface area of the floor S = 2 ( 24x5 + 24x23 + 23x5 )
The surface area of the floor S = 2 ( 120 + 552 + 115 )
The surface area of the floor S = 1574 yards²
Now , the volume of the pool V = L x W x H
Volume of the pool = 24 x 23 x 5
Volume of the pool V = 2,760 yards³
c)
Let the length of the bed be L = 40 feet
Let the width of the bed be W = 5 feet
Let the height of the bed be H = 1.5 feet
Now , the area of the bed = L x W
Substituting the values in the equation , we get
The area of the bed = 200 feet²
Now , the volume of the soil V = L x W x H
Volume of the bed soil = 200 x 1.8
Volume of the bed V = 360 feet³
Hence , the volume is solved
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Patrick wants to buy some songs and videos from an online media
store.
Songs (s) cost $1 each.
Videos (v) cost $2.50 each.
Patrick wants to spend at least $25 at the store.
Which inequality represents the number of songs and videos Patrick
could buy if he wants to spend at least $25 at the store?
.
.
.
A. s+2.5v≥25
B. s+2.5v ≤25
C. 2.5s+v≤25
D. 2.5s+v≥25
Answer:
s + 2.5v ≥ 25
Step-by-step explanation:
Framing inequalities:Cost of 1 song = $1
Cost of 's' songs = s * 1 = s
Cost of 1 video = $2.50
Cost of 'v' videos = 2.50 * v = 2.5v
As he wants to spend at least $ 25, he wants to buy for an amount equal to $ 25 or more than $ 25.
Total amount to spend ≥ $ 25
s + 2.5v ≥ 25
Into how many parts should you divide 30?
It depends on the purpose of dividing 30. There is no specific answer for dividing 30 into a certain number of parts. It can be divided into any number of parts, as long as it is a whole number.
Answer:
it depends upon ur requirement that hw many parts is needed by u
Step-by-step explanation:
like if u need 2 parts it can happen by having 15 on one side and 15 on the other similarly it,s the way to divide it to many parts required by u
A sand volleyball court has a perimeter of 50 meters. Its area is 136 square meters. What are the dimensions of the volleyball court?
Answer:
The dimensions of the sand volleyball court are 17 meters by 8 meters.
In a wind tunnel experiment, the force on a projectile due to the air resistance
was measured at different velocities:
Velocity (100 ft=sec) 0 2 4 6 8 10
Force (100 lb) 0 2.90 14.8 39.6 74.3 119
Find an interpolating polynomial p(t) = a0 + a1t + a2t^2 + a3t^3 + a4t^4 + a5t^5 for these data.
What happens if you try to use a polynomial of degree less than 5?
To find an interpolating polynomial, we need to fit a polynomial to the given data points. The simplest way to do this is by using the Lagrange Interpolating Polynomial formula:
p(t) = ∑ (y_i * l_i(t))
where y_i = the y-value of the data point
l_i(t) = Lagrange basis polynomial for data point i, defined as:
l_i(t) = (∏ (t-t_j)) / (t_i-t_j) for all j ≠ i
Using this formula, we can find the interpolating polynomial for the given data points:
p(t) = 0.0006t^5 - 0.0222t^4 + 0.2436t^3 - 1.0528t^2 + 2.2080t + 2.0400
So the interpolating polynomial for this data is a 5th degree polynomial, which means that it is necessary to use a polynomial of at least degree 5 in order to accurately fit the data.
If we try to use a polynomial of degree less than 5, the polynomial will not fit the data points accurately, and the difference between the polynomial and the actual data points will be significant. This means that the results of the wind tunnel experiment would be inaccurate if we use a polynomial of lower degree.
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Please help me with this question.
For given trigonometric function csc^2x(1-cos^2x)=1 to established option D is a key step.
What are trigonometric functions?
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.
The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions.
Now,
given function is csc^2x(1-cos^2x)=1
=csc^2x(sin^2x)
=1/sin^2x*sin^2x
=1
Hence,
For given trigonometric function csc^2x(1-cos^2x)=1 to established option D is a key step.
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What is the area of the triangle shown?
Responses
A 24 in2
24 in 2
B 12 in2
12 in 2
C 48 in2
48 in 2
D 36 in2
Answer:
42 in^2 <=====not in your answer choices
Step-by-step explanation:
Area of a right triangle = 1/2 base * height = 1/2 (7)(12) = 42 in^2
determine the number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n.
The number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n is 2^n.
Each xi in the vector (x1, x2, ..., xn) can be either 0 or 1. Therefore, there are 2 possibilities for each xi. The number of vectors that can be formed by combining these values is equal to the number of combinations of 2 possibilities, taken n times.
This is equivalent to 2^n. For example, if n = 2, then there are 2 possibilities for x1 (either 0 or 1) and 2 possibilities for x2 (either 0 or 1). The total number of vectors that can be formed is 2 * 2 = 2^2 = 4. In general, the number of vectors that can be formed is equal to 2^n.
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I don't understand this, USE YOUR SKILLS AND HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
$102
Step-by-step explanation:
It cost $25.50 per inch. They want to buy 4 inches.
Inch 1 Inch 2 Inch 3 Inch 4
v v v v
25.50 + 25.50 + 25.50 + 25.50 is the same as 25.50 · 4 which equals 102
Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2
The area of the given shape which is a sector of the circle is 3.14 sq.units.
What is a sector of a circle?
An area of a circle that is contained within its two radii and the arc that connects them is called a sector. A semicircle, which represents one-half of a circle, is the most typical sector of a circle.
Given a sector of a circle.
The radius of the circle = 2
Given π = 3.14
Area of circle = πr²
Area of sector = ( θ / 360° ) * πr²
where θ = sector angle
For the given shape, sector angle = 90°
Area of sector = (90°/360°) × 3.14 × 2² = (1/4) × 3.14 × 4 = 3.14
Therefore the area of the given sector of the circle is 3.14 sq.units.
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What is the answer for
( f - g )(6)=
Answer: 6f-6g
Step-by-step explanation:
3. The mean hourly pay rate for financial managers in the Europe is $32.62, and the standard deviation is $2.32. Assume that pay rates are normally distributed. A. What is the probability a financial manager earns between $30 and $35 per hour? B. How high must the hourly rate be to put a financial manager in the top 10% with respect to pay? C. For a randomly selected financial manager, what is the probability the manager earned less than $28 per hour?
help asappppppppppop
Step-by-step explanation:
oh, come on. this can be easily answered by all the formulas and information from the other question.
again the area of a circle is
pi×r²
so, for the given area of 9pi this means the radius is
r = sqrt(9) = 3 cm
the slant height is 4 times the radius
L = 3×4 = 12 cm
the total surface area of a cone is again
pi×r(r + L) = pi×r² + pi×r×L
the lateral area alone (without the base area) is then
pi×r² + pi×r×L - pi×r² = pi×r×L
in our case
3.14×3×12 = 113.04 ≈ 113 cm²
PLEASE HELP........URGENT
Answer:
1. 184-x
2. 90
3. y=4x/3-23/3
Step-by-step explanation:
1. 180-(x-4)=184-x (supplementary angles)
2. 180/2=90 (supplementary angles)
3. y=-3x/4+2
y+5=(4/3)(x-2)
y=4x/3-23/3
COMPARING FUNCTIONS A cross section of a birdbath can be modeled by y=(x-18)² – 4, where x
and y are measured in inches. The graph shows the cross section of another birdbath.
N
y=
75
To compare the two birdbaths, we can compare the equations for their respective cross sections.
What is cross sections?Cross sections are a two-dimensional representation of a three-dimensional shape or object. Cross sections can be used to help visualize the internal and external structure of an object, such as a building, machine, or living organism. They are also used to understand the physics and math of a certain area, such as the flow of air or the interactions of particles.
To compare the two birdbaths, we can compare the equations for their respective cross sections. The equation for the first birdbath is y=(x-18)² – 4, while the equation for the second birdbath is y=75. We can compare the two equations by looking at how the x-values affect the y-values. In the first equation, as x increases, y increases. In the second equation, y remains constant. This indicates that the second birdbath is a shallower bowl than the first birdbath.
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The chart shows the number of rabbits a farmer observed on his farm over a period of nine weeks.
Find the third quartile of the data set.
The third quartile of the data set is 20, and option C is correct.
What are datasets?A data set is a structured group of data. As we are all aware, data is a grouping of information that has been gathered by observations, measurements, research, or analysis. Facts, figures, names, and even simple descriptions of objects could be included in it. Data can be arranged for our study in the form of graphs, charts, or tables.
Given a chart for the number of rabbits, a farmer observed on his farm over a period of nine weeks.
week 1 2 3 4 5 6 7 8 9
rabbits 2 3 5 7 11 15 18 22 27
the formula of quartiles is
Lower Quartile (Q1) = (N+1) * 1 / 4
Middle Quartile (Q2) = (N+1) * 2 / 4
Upper Quartile (Q3 )= (N+1) * 3 / 4
here N = 9
third quartile(Q3) = (N+1) * 3 / 4
third quartile(Q3) = (9 + 1)3/4
third quartile(Q3) = 7.5 term
third quartile(Q3) is the term between 7th and 8th week
third quartile(Q3) = (7th term + 8th term)/2
7th term = 18
8th term = 22
third quartile(Q3) = (18 + 22)/2
third quartile(Q3) = 20
Hence option C is correct.
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fill in the blanks in the above anova table.at 95% confidence, test to determine whether or not the means of the 3 populations are equal. the denominator degrees of freedom is
In this case, the denominator degrees of freedom is 18 - 3 = 15.
The denominator degrees of freedom for this ANOVA test is the total number of observations in the sample minus the number of groups, or n-k.
The denominator degrees of freedom are the total number of observations in the sample minus the number of groups being compared. This value is used in statistical tests such as ANOVA to determine the probability of obtaining a given value of the test statistic, and it is also used in calculating the standard error of the mean. In ANOVA, the denominator degrees of freedom is equal to the total sample size minus the number of groups.
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Frankie wants to use her 8.39 m long ladder
against a wall, as shown below.
The instructions state that the angle between
her ladder and the ground should be in the
range 74° to 77°.
Calculate the maximum distance that the
base of her ladder should be placed from the
wall.
Give your answer in metres to 2 d.p.
Answer:
2.31m
Step-by-step explanation:
Trigonometry:
cosθ = adjacent/hypotenuse
cos(74) = adjacent/(8.39)
adjacent = 8.39 × cos(74)
adjacent = 2.3125974152
2.31 (to 2 d.p.)
A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles. It has a lateral surface area of 57 square centimeters. What is the surface area of the regular triangular pyramid?
The surface area of the regular triangular pyramid is 76 square centimeters.
What is a regular triangular pyramid?A three-dimensional object with a triangle base and three triangular faces is known as a regular triangular pyramid.
Given:
A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles.
It has a lateral surface area of 57 square centimeters.
The area of a 3-dimensional object's sides, excluding its base and top, is referred to as its lateral surface area.
A total of four face areas make up the surface area of a triangular pyramid.
The area of one face = lateral surface area / 3
57 / 3 = 19
The surface area = 19 x 4 = 76
Therefore, the surface area is 76 square centimeters.
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given that 1 euro = £0.75
what is the £ to euro exchange rate ?
£1 =
Answer:
[tex]\frac{4}{3}[/tex] or 1.333333333 euro
Step-by-step explanation:
Answer:
1 euro = £0.75
£1= 4/3 or 1.33333 repeating
Hope this helped!
Step-by-step explanation:
Ordered: 500ml 0.45% NS with heparin 25,000 U to infuse at 500 units/hr what is the flow rate
Answer:
0.0625 mL/hr.
Step-by-step explanation:
To calculate the flow rate in mL/hr, we need to know the total volume of the solution, the concentration of the solution, and the desired infusion rate.
Given:
Volume: 500 mL
Concentration: 0.45% (or 0.0045 g/mL)
Infusion rate: 500 units/hr
We know that:
Infusion rate = Volume x Concentration / Time
We can rearrange the formula to solve for time:
Time = Volume x Concentration / Infusion rate
Now we can plug in the given values:
Time = 500 mL x 0.0045 g/mL / 500 units/hr
To convert the time to hours, we will divide the time by 3600 seconds/hour
Time = 500 mL x 0.0045 g/mL / 500 units/hr / (1 hr/3600 s)
Now we have the flow rate in mL/hr
Time = 0.0625 mL/hr
So the flow rate should be set at 0.0625 mL/hr.
It's important to note that the heparin added is 25000 U, this is not related to the flow rate calculation.
3 1/3(1+2x)= 5 1/2(2x-1)
Step-by-step explanation:
=> The simplest form of
56
:
98
56:98 is
4
:
7.
4:7.
Step-by-step explanation:
Given ratio -
56
:
98
56:98
We have to reduce it to its simplest form,
For that, we have to find the GCD of the numerator as well as the denominator:
So, the GCD for
56
56 and
98
98 is
14.
14.
Now, divide both the numerator and denominator by the GCD:
=
>
56
÷
14
98
÷
14
=>
98÷14
56÷14
=
>
4
7
=>
7
4
Hence, the simplest form is
4
:
7.
4:7.
Find a function rule for the line that passes through the origin (0,0) and the point (-6,-18).
The function of the line passing through the points (0,0) and (-6,-18) is y = 3x.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points are (0,0) and (-6,-18)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
m = -18/-6
m = 3
The equation of the line is given as
y - y₁ = 3 (x - x₁)
y + 0 = 3(x - 0)
y = 3x
Thus, the function of the line passing through the points (0,0) and (-6,-18) is y = 3x.
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Simplify: [tex]t^{2} . t[/tex]
Answer:
t ^3
Step-by-step explanation:
t^2.t
= t × t^2+1
= t^3
HELPPPPPPP PLEASEEEEEEEEEEEEE
Applying the exterior angles theorem, the measure of angle JKL is: 22°.
What is the Exterior Angles Theorem?Exterior Angle Theorem states: "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it."
Applying the exterior angles theorem, we would create the following equation:
m<JKL = m<KIJ + m<IJK
Substitute:
5x - 3 = 2x + 8 + x - 1
Solve for x
5x - 3 = 3x + 7
5x - 3x = 3 + 7
2x = 10
x = 5
m<JKL = 5x - 3 = 5(5) - 3
m<JKL = 22°
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