Answers
The height & speed are mathematically given as
t = 0.2 s
u = 4 m/s
What is the height & speed?Generally, the equation for height is mathematically given as
h = 0.2gt^2
Therefore
0.2 = 0.5 * 9.8 *[tex]t^2[/tex]
0.2 = 4.9 *[tex]t^2[/tex]
t = 0.2 s
b)
In conclusion, the initial speed is
s = ut
Therefore
u = 0.8 / 0.2
u = 4 m/s
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Related Questions
What is the y-intercept of the function f(x)=-2/9x + 1/3?
Answers
Answer:
y-intercept = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
the coefficient is the slope (slope = -2/9x)
the constant is the y-intercept (y-intercept=1/3)
this is true for all functions like this
Answer:
The y-intercept is
c) 1/3
Step-by-step explanation:
The graph of the piecewise function f(x) is shown.
On a coordinate plane, a piecewise function has 2 connecting lines. The first line has a closed circle at (negative 2, negative 5) and goes up to a closed circle at (2, negative 1). The second line has a closed circle at (2, negative 1) and goes down to an open circle at (4, negative 2).
What is the range of f(x)?
{x | −2 ≤ x < 4}
{x | −2 < x ≤ 4}
{y | −5 < y < −1}
{y | −5 ≤ y ≤ −1}
Answers
Answer: {y | −5 ≤ y ≤ −1}
Step-by-step explanation:
The extreme values are -5 and -1.
There is a closed circle at (-2, -5), so -5 is in the range.There is a closed circle at (2, -1), so -1 is in the range.So, the answer is {y | −5 ≤ y ≤ −1}.
During a snowstorm, Madeline tracked the amount of snow on the ground. When the storm began, there were 3 inches of snow on the ground. Snow fell at a constant rate of 1 inch per hour until another 2 inches had fallen. The storm then stopped for 3 hours and then started again at a constant rate of 2 inches every 3 hours for the next 9 hours. When the storm stopped again, the sun came out and melted the snow for the next 2 hours at a constant rate of 3 inches per hour. Make a graph showing the inches of snow on the ground over time using the data that Madeline collected.
Answers
The graph depicts that at the end of the snowstorm, there was 5 inches of snow left. See the attached graph.
How many hours did the snow fall?It is not be noted that the total amount of hours which the snow fell is:
2 + 9 = 11 hours.
Although the graph depicts a peak of 14 hours, recall that there were three hours when the snow didn't fall.
While the maximum depth of the snow was 11 inches.
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On a monday a friend says he will meet you again in 34 days. What day of the week will that be?
Answers
Answer:
On a Sunday?
Step-by-step explanation:
The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle
Answers
Answer: 3.217 & 12.434
Step-by-step explanation:
If we use w to represent the width, the length will be 6 more than 2 times w.
Hence, the length is [tex]2w+6[/tex].
The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.
[tex]A=w(2w+6)[/tex]
We can also substitute 40 in for A as it's given in the question.
[tex]40 = w(2w+6)[/tex]
Distributing w by multiplying it by both terms in the parentheses, we get
[tex]40 = 2w^2+6w[/tex]
We can make the equation simpler by dividing both sides by 2.
[tex]20 = w^2+3w[/tex]
Subtracting both sides by 20 will make the left-hand side 0.
[tex]0=w^2+3w-20[/tex]
Now that we have put this quadratic equation into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.
For reference, the quadratic formula is
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a is 1, b is 3, and c is -20.
Substituting, we get
[tex]w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}[/tex]
[tex]w= \frac{-3\pm\sqrt{9+80}}{2}[/tex]
[tex]w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}[/tex]
Since the second solution results in a negative number, it cannot be the length of w.
[tex]w=\frac{-3+\sqrt{89}}{2}\approx3.217[/tex]
The width/breadth of the rectangle is 3.217 cm.
To calculate the length, let's substitute the width into the expression for the length:
[tex]l=2(3.217)+6[/tex]
[tex]l=12.434[/tex]
The length of this rectangle is 12.434 cm.
If the parabola of the form y = a(x – h)2 + k is always shifted horizontally h units and vertically k units, then its vertex is always
(–h, –k)
(h, k)
(–h, k)
(h, –k)
Answers
The vertex of the transformed parabola with the equation [tex]y=a(x-h)^2+k[/tex] is (h, k).
What are the transformation rules for horizontal and vertical shifts?The transformation rules are:
Translation: (x, y) → (x + a, y) or (x, y) → (x - a, y) (Horizontal shift)
Translation: (x, y) → (x , y + b) or (x, y) → (x , y - b) (Vertical shift)
Calculation:It is given that, the transformed parabola is [tex]y=a(x-h)^2+k[/tex]
This parabola has vertex at (h, k).
Since this equation is obtained by shifting h units horizontally and k units vertically.
So, the original vertex is at (h - h, k - k) = (0, 0)
Thus, the equation of the actual parabola is [tex]y=ax^2[/tex]
Therefore, the given transformed equation of parabola has vertex (h, k).
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Answer:
B] (h,k)
The next answer is Vertex (-5, -4)
☆
EDGE2022; Good luck :3!!!!
Find the area of this circle
Answers
Answer:
[tex] {75ft}^{2} [/tex]
Step-by-step explanation:
[tex]a = \pi{r}^{2} = 3 {r}^{2} \\ a =3 ({ \frac{10}{2} })^{2} = 3 \times {5}^{2} \\ a = 3 \times 25 = 75[/tex]
First, we replace π with 3, since we were told to.We know 10 is the diameter and the radius is half of the diameter, so we divide 10 by 2.We get 5. 5 squared is the same as (5×5). Finally, we multiply 3 by 25.To start solving this exercise, we obtain as data:
π = 3r = 10 ft²a = ?To find the area of the circle. We apply the following formula: A =π r², where
a = areaπ = pir = radiusWe substitute our data in the formula and solve:
Substituting values into the equation:
[tex]\boldsymbol{\sf{A=3*(10 \ ft)^{2} }}[/tex]Taking the square root:
[tex]\boldsymbol{\sf{A=3*100 \ ft^{2} }}[/tex]Multiplying
[tex]\boxed{\boldsymbol{\sf{A=300 \ ft^{2} }}}[/tex]Therefore, the area of the circle is 300 ft².
The line plot (shown in the attached image) shows the prices of sunglasses at a department store.
a. Find the mean, median, and mode.
b. Which measure best describes the data? Why?
c. Which measure might be misleading in describing the average price of sunglasses? Explain your reasoning.
Please help!!
Answers
a. The mean, median and mode for this plot are 70.8, 70 and 60 respectively.
b. Mean best represents the data for this plot.
c. When there are outliers, the mean might be a deceptive center tendency measure.
Mean, Median, and Mode
Mean = Sum of prices / Total number of sunglasses
Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25
Mean = 70.8
Median is equal to (n/2 + 1) when n is an odd number.
Here, the number of sunglasses is represented by n.
⇒ (25/2 + 1)th term is the median
Median = 13th term
Median = 70
Mode is the most frequent data from the plot.
⇒ Mode = 70
Mean Being the Best Central Measure
The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.
Misleading Measure
When there are outliers, the data mean is significantly impacted. As a result, it may be inaccurate when examining the data's average price.
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The prism shown in the diagram has a volume of 39 units^3. What is the volume of the pyramid? Explain your reasoning. I WILL GIVE BRAINLIEST ASAP FOR A QUICK ANSWER
Answers
The volume of the pyramid is 13 units³.
What is the volume of the pyramid?
A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.
Volume of a pyramid = 1/3 x prism
1/3 x 39 = 13
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Using the quadratic formula, solve the
equation below to find the two possible
values of t.
6x^2-35=-11x
Give each value as a fraction in its
simplest form.
Answers
Answer:
x= 19/12, -41/12
Step-by-step explanation:
I'm guessing x is "t".
The quadratic formula is x=(-b+-sqrtb^2-4ac)/2a I know that this is hard to read sorry!
Plug in a, b, and c.
Oh yeah, first convert it to the form Ax^2+bx+c
so 6x^2-35=-11x
6x^2+11x-35=0
(-11+-sqrt11^2-(-4*6*35))/2*6
Simply: (-11+-sqrt 121+840)/12
(-11+-sqrt961)/12
(-11+-31)/12
-11+30=19
-11-30=-41
x= 19/12, -41/12
Suppose the variable x is represented by a standard normal distribution. What value of x is at the 40th percentile of the distribution
Answers
The value value of x is at the 40th percentile of the distribution is 0.65.
The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation
Given:- μ[tex]_X[/tex]=0,σ[tex]_X[/tex]=1
We can standardize the random variable: Z=(X−μx)/σx,
Then the equation is P(X≤ x )=Φ(x−μx/σx)=Φ(x−0/1)=0.4
Inverse function
Ф[tex]\\^{-1}[/tex](0.4) = [tex]\frac{x-0}{1}[/tex]
From the table we get,
Ф[tex]^{-1}[/tex] = 0.65
Thus
[tex]\frac{x-40}{10}[/tex] = 0.65
x -0 = 0.65
x = 6.5
Thus the value value of x is at the 40th percentile of the distribution is 0.65
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The perimeter of a square is 40 inches.
What is the area, in square inches, of the square?
Answers
The area of the square is 100 inches square
What is perimeter of a square?The perimeter of a square is calculated using the formula;
Perimeter = 4 a
Where
a is the side
It is also important to know that the area of a square is calculated using the formula;
Area = a²
Where a represents the side of the square
Let's find the side by substituting the value of the perimeter in the formula, we have
40 = 4a
a = 40/4
a = 10 inches
Then , let's find the area by substituting the value of the side
Area = 10 ²
Area = 10 × 10
Area = 100 inches square
Thus, the area of the square is 100 inches square
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The length of a rectangle is 6 inches more than its width. Its area is 91 square inches. The length is .
Answers
Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in
In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction measure of angle Z Y X Over 360 degrees EndFraction (pi r squared).
Circle Y is shown. Line segments X Y and Z Y are radii. Sector X Y Z is shaded.
Which best explains the formula?
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
Answers
The best explanation for the formula is: A. The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
What is the Area of a sector of a Circle?The area of a sector of a circle equals measure of the central angle subtended by the sector over the angle measure of a full circle multiplied by the area of the circle.
A full circle has an angle measure of 360 degrees.
The area of a circle = pi(r²).
Therefore, the formula for the shaded sector of a circle would be represented by the formula: ∅/360 × πr².
Here, we have:
Central angle (∅) = measure of angle ZYX
Measure of full circle = 360 degrees
Area of a circle = πr². (area formula for the circle that contains the sector)
Therefore, the statement that best explains the formula, (m∠ZYX)/360 × πr², used for finding the shaded sector in the circle is: A. The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
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Answer:
its the first answer "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."
Step-by-step explanation: i got it right because im smort
1/5n+3/5n=7/9
Can you help?
Answers
The value of n in 1/5n+3/5n=7/9 is 35/36
How to solve the equation?The equation is given as:
1/5n+3/5n=7/9
Multiply through by 5
n + 3n = 35/9
Evaluate the sum
4n = 35/9
Divide both sides by 4
n = 35/36
Hence, the value of n in 1/5n+3/5n=7/9 is 35/36
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In fig. 6.39, side QP and RQ of ΔPQR are produced to points S and T respectively, if ∠SPR = 135° and ∠PQT = 110°, find ∠PRQ.
Answers
Answer:
PRQ = 65 degrees
Step-by-step explanation:
Angles SPR and QPR and angles TQP and RQP form linear pairs, so they are supplementary (angle measures add up to 180 degrees).
SPR + QPR = 180
135 + QPR = 180
QPR = 45
TQP + RQP = 180
110 + RQP = 180
RQP = 70
Since interior angles of a triangle add up to 180 ...
QPR + RQP + PRQ = 180
45 + 70 + PRQ = 180
PRQ = 65
What is the GCF of:
9a^4b^4 - 27a^3b^3
Answers
Answer:
9a^3b^3
Step-by-step explanation:
The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number
Find the prime factors of each term in order to find the greatest common factor (GCF).
Freddie had saved 231 pennies.
Which statement best describes
the number of pennies he had?
Answers
he has 231 pennies..............
Explaining the Error in a Propo
A student uses the ratio of 4 oranges to 6 fuld ounces
find the number of oranges needed to make 24 fluid
ounces of juice. The student writes this proportion:
24
4
=
6 16
Explain the error in the student's work.
Answers
Answer:
16
Step-by-step explanation:
The student uses the ratio of 4 oranges to 6 fluid ounces.
When there are 24 fluid ounces, the number of oranges will be:
= 4/6 × 24
= 16 oranges
One pen is chosen without looking from a bag that has 3 blue pens, 6 red pens, and 3 green pens.
Find the probability of choosing a green pen.
Answers
The probability of choosing. a green pen is 0.25
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically;
Probability = Expected/Total outcome
If a bag has 3 blue pens, 6 red pens, and 3 green pens, then;
Total pen = 3+6+3
Total pen = 12
If a green pen is chosen, then
Pr(choosing a green pen) = 3/12
Pr(choosing a green pen) = 0.25
Hence the probability of choosing. a green pen is 0.25
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Help me pleaseeeeeeeeeeeeeeeeeeeee
Answers
Answer:
a = 16.52 cmb = 23.85 cm=========================
Given AB = 22 cmm∠A = 42°m∠B = 75°To findSide length of a and bSolutionThe law of sines is:
a/sin A = b/sin B = c/sin CStep 1Find the value of ∠C using the angle sum theorem:
m∠A + m∠B + m∠C = 180°42° + 75° + C = 180°117° + C = 180°C = 180° - 117°C = 63°Step 2Find side a:
Note, the sides of a triangle are marked as:
a = BC, b = AC, c = AB (opposite to respective angle).Use two pairs with one unknown:
a/sin A = c/sin CSubstitute values and solve for a:
a/ sin 42° = 22/sin 63°a = 22*sin 42°/sin 63°a = 16.52 cm (rounded)Step 3Find side b, similar to finding side a:
b/ sin 75° = 22/sin 63°b = 22*sin 75°/sin 63°b = 23.85 cm (rounded)Answer:
a = 16.5 cm (nearest tenth)
b = 23.8 cm (nearest tenth)
Step-by-step explanation:
Definition
A, B and C are the angles and a, b and c are the sides opposite the angles.
From inspection of the triangle:
A = 42°B = 75°c = 22 cmInterior angles of a triangle sum to 180°:
⇒ A + B + C = 180°
⇒ 42° + 75° + C = 180°
⇒ C = 180° - 117°
⇒ C = 63°
To find the missing side lengths a and b, use the Sine Rule:
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Substitute the given values into the Sine Rule formula:
[tex]\implies \sf \dfrac{a}{\sin 42^{\circ}}=\dfrac{b}{\sin 75^{\circ}}=\dfrac{22}{\sin 63^{\circ}}[/tex]
Finding side a:
[tex]\implies \sf \dfrac{a}{\sin 42^{\circ}}=\dfrac{22}{\sin 63^{\circ}}[/tex]
[tex]\implies \sf a=\dfrac{22\sin 42^{\circ}}{\sin 63^{\circ}}[/tex]
[tex]\implies \sf a=16.52162239...[/tex]
Therefore, side a is 16.5 cm (nearest tenth).
Finding side b:
[tex]\implies \sf \dfrac{b}{\sin 75^{\circ}}=\dfrac{22}{\sin 63^{\circ}}[/tex]
[tex]\implies \sf b=\dfrac{22\sin 75^{\circ}}{\sin 63^{\circ}}[/tex]
[tex]\implies \sf b=23.84984577...[/tex]
Therefore, side b is 23.8 cm (nearest tenth).
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Complete the congruence statement for the figure below.
Answers
10. A drawer contains only green marbles. After
5 red marbles are added to the drawer, the
probability of picking a red marble is
How many marbles were there in the drawer
originally?
(A) 5
(B) 7
(C) 12
(D) 30
(8)
Answers
Answer:
(D) 30
Step-by-step explanation:
number of green marbles = x
number of red marbles = 5
total number of marbles = x + 5
p(red) = (number of red marbles)/(total number of marbles)
p(red) = 5/(x + 5)
p(red) = 1/7
5/(x + 5) = 1/7
(x + 5) × 1 = 5 × 7
x + 5 = 35
x = 30
Answer: (D) 30
find the slope of a line parallel to the line through the given points. E(5, 7), F(3, 1) •-3
•-1/3
•1/3
Answers
Answer:
3
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (1 - 7)/(3 - 5)
slope = -6/(-2)
slope = 3
Parallel lines have equal slopes.
Answer: 3
What do these values indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
Answers
Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.
Reason Behind a Biased Estimator
The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a biased estimator.
Brief Description of Sample Mean Absolute Deviation
The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.
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Identify the function with a period of 4 and an amplitude of 2.
Answers
Answer:
it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.
Which statement correctly describes the expression 19×4?
A. Both factors are negative, so the product will be positive.
B. One factor is positive and one factor is negative, so the product will be positive.
C. Both factors are positive, so the product will be negative.
D. Both factors are positive, so the product will be positive.
Answers
Answer:
D. Both factors are positive, so the product will be positive.
HELPPPPPPPPPPPP (-12)^3:8^3
Answers
Answer:
-1728:512
Step-by-step explanation:
(-12)³ = -1728
8³ = 512
ratio is -1728:512
1. What is the approximate area of circle A?
2. What is the approximate area of circle B?
3. What is the approximate area of the shaded region 1 (between the square and circle A)?
4. What is the approximate area of shaded region 2 (between circles A & B)?
Answers
The approximate area of circle A is π · 8² = 64π ≈ 201.062 square inches.
The approximate area of circle B is π · 4² = 16π ≈ 50.265 square inches.
The approximate area of shaded region 1 is 24² - 64π ≈ 374.938 square inches.
The approximate area of shaded region 2 is 64π - 16π = 48π ≈ 150.796 square inches.
How to estimate geometric areas
In this situation we have a square whose side length is known and two circles whose radii have to be estimated. By direct inspection we find that the diameter of circle A is two thirds of the length of the square side (l), in inches and the diameter of circle B is the half of the diameter of the former. Now we proceed to find the key dimensions of the figure:
Circle A
Diameter: 16 inches
Radius: 8 inches
Circle B
Diameter: 8 inches
Radius: 4 inches
The approximate area of circle A is π · 8² = 64π ≈ 201.062 square inches.
The approximate area of circle B is π · 4² = 16π ≈ 50.265 square inches.
The approximate area of shaded region 1 is 24² - 64π ≈ 374.938 square inches.
The approximate area of shaded region 2 is 64π - 16π = 48π ≈ 150.796 square inches.
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Find the other endpoint of the line segment with the given endpoint -5, 2 and midpoint 2, -5
Answers
Answer:
( 9, -12 )
Step-by-step explanation:
Mario's Math Tutoring
you have the midpoint
2, -5
use the midpoint formula
(x1+x2)/2 , (y1+y2)/2
to get the endpoint
x :
(-5+x2)/2 = 2
(-5+x2) = 4
-5+x2 = 4
x2 = 9
y:
(2+y2)/2 = -5
(2+y2) = -10
2+y2 = -10
y2 = -12
Thank you Mario!