Answer: 6328723894
Step-by-step explanation:
Den pushes a desk 400 cm across the floor. he exerts a force of 10 n for 8 s to move the desk. what is his power output? (power: p = w/t)
The power output is = 5W
Correct option is B.
What is Power ?Power is the quantity of energy that is transferred or transformed in a certain length of time. The unit of power is the watt, which in the International System of Units is equivalent to one joule per second.. Power may also be referred to as activity in earlier writings. The scalar property of power
Power is characterized as the rate at which a thing performs labor.
According to the given information:P = W/T ..... (1)
Work is calculated as the product of force applied to an item and the distance that object has traveled.
W = F.s
When we plug this value into the equation above, we get:
P = (F. s)/t
where,
power = P =?W
F = 10N Force Exercised
s = Displacement = 400cm = 4m (1 meter = 100 centimeters).
t = Time required = 8s
Using the values in the equation above, we obtain
P = (10 x 4)/8
P = 5W
Hence, the correct option is Option b.
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I understand that the question you are looking for is :
Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk.
What is his power output? (Power: P = W/t)
a. 1.25 W
b. 5 W
c. 40 W
d.500 W
How do I rewrite 1/4 book 1/3 hour as a unit rate?
The unit rate of 1/4 book 1/3 hour in books per hour is 3/4 books per hour.
Unit rateUnit rate is the rate of a quantity in terms of another quantity per unit.
Number of books = 1/4Number of hours = 1/3Unit rate(books per hour) = Number of books / Number of hours
= 1/4 ÷ 1/3
= 1/4 × 3/1
= (1×3) / (4×1)
= 3/4 books per hour
Therefore, the unit rate of 1/4 book 1/3 hour in books per hour is 3/4 books per hour.
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the selling price of a mobile after discount is 10000.if the discount is 10% find the mp
Answer:
Rs.11,111.11 (2 d.p.)
Step-by-step explanation:
The original price of the mobile is 100% of the price.
Therefore, the price of the mobile after a discount of 10% is 90% of the original price.
Let x be the original price.
If the price of the mobile after the discount is Rs.10000 then:
⇒ 90% of x = Rs.10000
⇒ 0.9x = 10000
⇒ x = 10000 ÷ 0.9
⇒ x = 11111.11 (2 d.p.)
M.P. =Rs 11111.1111
Answer:
Solution Given:
Selling price (S.P.) = Rs 10,000.
Discount =10%
Marked Price (M.P.)=?
we have
M.P. = S.P. + discount% of M.P.
keeping M.P. on same side
M.P. - discount% of M.P=S.P.
substituting value
M.P. - 10% of M.P.= Rs 10,000
taking common M.P.
M.P.(1-10%)=Rs. 10,000
we know that %=1/100
M.P.(1-10/100)=Rs 10,000
(9/10)M.P.= Rs 10,000
M.P.= Rs 10,000*10/9
M.P.=Rs11111.1111
Which table represents a linear function?
The table shows the number of grapes eaten over several minutes.
What is the rate of change for the function on the table?
15 grapes eaten per minute
15 minutes to eat each grape
60 grapes eaten per minute
60 minutes to eat each grape
The rate of change for the function on the table is; 15 grapes eaten per minute.
What is the rate of change of the function described by the table?It follows from the complete question that the table given indicates that;
after 1min, 15 grapes had been eaten, after the next minute, 30 grapes had eaten, after the 3rd minute, 45 grapes had already been eaten.On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.
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The graph shows the amount of money that the journalism club raised for a scholarship fund over a 5-week period If x represents the number of weeks, which function is the BEST fit for the information in this graph?
The linear function of best fit for the information on the graph is:
f(x) = 200x + 100.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The function on the graph goes through points (3,700) and (4,900), that is, when x changes by 1, y changes by 200, which means that the slope is of 200 and the function is:
f(x) = 200x + b.
When x = 3, f(x) = 700, hence we use it to find b.
700 = 200(3) + b
b = 100.
Hence the function is:
f(x) = 200x + 100.
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Find the matrix for the linear transformation which rotates every vector in r2 through an angle of −π/3.
The matrix for the linear transformation for which rotates every vector in r2 is [tex]\left[\begin{array}{cc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\ \frac{\sqrt{3} }{2} &\frac{1}{2} \end{array}\right][/tex].
In this question,
The angle is -π/3 = -60°
Clockwise rotations are denoted by negative numbers.
Matrix for counter-clockwise direction for an angle α is
[tex]\left[\begin{array}{cc}cos\alpha &-sin\alpha \\-sin\alpha &cos\alpha \end{array}\right][/tex]
Then, matrix for clockwise direction for an angle α
Put α = -α in the above matrix,
⇒ [tex]\left[\begin{array}{cc}cos(-\alpha) &-sin(-\alpha) \\-sin(-\alpha) &cos(-\alpha) \end{array}\right][/tex]
⇒ [tex]\left[\begin{array}{cc}cos\alpha &sin\alpha \\sin\alpha &cos\alpha \end{array}\right][/tex]
Now substitute α = 60°
Then matrix becomes,
⇒ [tex]\left[\begin{array}{cc}cos60 &sin60 \\sin60 &cos60 \end{array}\right][/tex]
⇒ [tex]\left[\begin{array}{cc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\ \frac{\sqrt{3} }{2} &\frac{1}{2} \end{array}\right][/tex]
Hence we can conclude that the matrix for the linear transformation for which rotates every vector in r2 is [tex]\left[\begin{array}{cc}\frac{1}{2} &\frac{\sqrt{3} }{2} \\ \frac{\sqrt{3} }{2} &\frac{1}{2} \end{array}\right][/tex].
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Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
A) 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
B) fraction 1 over 4 of 10 times the sum of 5 and 3, minus 3
C) 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
D) 10 times fraction 1 over 4 plus 3 and 5, minus 3
Answer:
B
Step-by-step explanation:
because i said so
Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply
Answer:
the answer is 1,2,4,5 and 7.
Answer: The answer is A,B,D,E,G
Step-by-step explanation: just trust me and enjoy your write answers. Have a nice day.
Jay received a holiday bonus in the amount of 66⅔% of his daily salary. Jay earns $300 each day. How much was his holiday bonus?
Answer: $200
Step-by-step explanation:
We will find 66⅔% of $300 to see how much Jay received. A percent divided by 100 becomes a decimal.
66⅔% / 100 ≈ 0.667
0.667 * $300 = $200
Very much appreciated skin!!!
Answer:
6
Step-by-step explanation:
Given an isosceles triangle the two sides opposite of congruent angles are equal to eachother, so you can create an equation setting the two sides equal to eachother and solve for x.
[tex]x+4=3x-8\\x=3x-12\\-2x=-12\\x=6[/tex]
The length of AC is simply x, therefore 6
HELP PLEASE!!
20 points for grabs
Step-by-step explanation:
....................
Round 51.6172 to the
thousandths place.
Answer:
51.617
Step-by-step explanation:
tythe answer is 51.617 hope it helps
Explanation: The thousandths place is 51.6172 (Underlined is the thousandths) and since 2 is closest to zero we get an answer of 51.617.
Answer: 51.617
:)
Can you help me solve this, please?
Answer:
Step-by-step explanation:
Resolver por igualación
2x+3y=2
6x+12y=1
Answer:
[tex]x = 3.5[/tex]
[tex]y\approx1.666666667[/tex]
Step-by-step explanation:
To solve simultaneous equations, at least one of our variables must have the same coefficient. We can easily multiply the first equation by 4 to get 12y on both sides, so let's do that:
[tex]8x + 12y = 8[/tex]
No let's subtract the second equation from the first equation to get the third equation:
[tex]2x = 7[/tex]
Solve:
[tex]x = 3.5[/tex]
Now, we can substitute this value into one of the original equations - let's use the second one:
[tex]21 + 12y = 1[/tex]
Solve:
[tex]12y = - 20[/tex]
[tex]y = - \frac{ - 20}{12} = \frac{ - 10}{6} = - \frac{5}{3} \approx - 1.66666666667[/tex]
When training models, you would typically place your data into three buckets: Train, Test, and Hold Out. What is the purpose of having hold-out data
Answer:
So, having "hold-out" data allows you to have a nonpartisan set of data (so to speak) for you to refer to later, once you have made use of the "train" and "test" sets. That way you can make a fair assessment as to the difference between the new and old ('hold-out") sets.
Or if you need to repeat the experiment or model again - then you can refer to the "hold out data"
how do I calculate y=3x - 2 without knowing thw value of x
Answer:
Step-by-step explanation:
easy
y=3x-2
-3x+y=-2
-3x=-2-y
x=2/3+1/3y
The navy reports that the distribution of waist sizes among male sailors is approximately normal, with a mean of 32.6 inches and a standard deviation of 1.3 inches. part a: a male sailor whose waist is 34.1 inches is at what percentile? explain your reasoning and justify your work mathematically. (5 points) part b: the navy uniform supplier regularly stocks uniform pants between sizes 30 and 36. anyone with a waist circumference outside that interval requires a customized order. describe what this interval looks like if displayed visually. what percent of male sailors requires custom uniform pants? show your work and justify your reasoning mathematically. (5 points) (10 points)
Using the normal distribution, it is found that:
a. A male sailor whose waist is 34.1 inches is at the 87.5th percentile.
b. 5.7% of male sailors requires custom uniform pants.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 32.6, \sigma = 1.3[/tex]
For item a, the percentile is the p-value of Z when X = 34.1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (34.1 - 32.6)/1.3
Z = 1.15
Z = 1.15 has a p-value of 0.875.
Hence 87.5th percentile.
For item b, the proportion who does not require an special order is the p-value of Z when X = 36 subtracted by the p-value of Z when X = 30, hence:
X = 36:
Z = (36 - 32.6)/1.3
Z = 2.62
Z = 2.62 has a p-value of 0.996.
X = 30:
Z = (30 - 32.6)/1.3
Z = -2
Z = -2 has a p-value of 0.023.
0.996 - 0.023 = 0.943.
Hence the proportion who requires an special order is:
1 - 0.943 = 0.057.
5.7% of male sailors requires custom uniform pants.
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Drag each length to the correct location on the triangle. each length can be used more than once, but not all lengths will be used. what are the missing side lengths for the triangle? 10 5
Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.
What is Trigonometry Ratios?Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.
According to the given information:Reference angle (∅) = 60
Adjacent = 4√3
Opposite = ?
Apply TOA:tan 60 = opp/adj
tan 60 = Opp/4√3
√3 = opp/4√3
Opposite = √3 × 4√3
Opposite = 12
Find the other missing side:Reference angle (∅) = 60
Adjacent = 4√3
Hypotenuse = ?
Apply CAH:cos 60 = adj/hyp
cos 60 = 4√3/hyp
hyp = 4√3/cos 60
hyp = 4√3/1/2
hyp = 4√3 × 2
hyp = 8√3
Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.
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Find the surface
7 in.
4 in.
4 in.
+
4 in.
5 in.
7 in.
5 in.
j
SA = [?]in.² please explain how you got it I’m stuck
find the prime factorization of 11250
Answer:
2 x 3 x 3 x 5 x 5 x 5 x 5
Step-by-step explanation:
see picture
On a coordinates plane, a line passes through ( - 2 , 3 ) and ( 2 , 6 ). Which of the followings lies on the same line.
a. ( - 2 , 12 )
b. ( 6 , 12 )
c. ( - 6 , 0 )
d. ( - 6 , 6 )
By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)
What point lies on a line segment?
According to linear algebra, a point lies in a line segment if its vector is a multiple of the vector that generates the line segment itself, that is:
AB = k · AP (1)
The vector that generates the line segment is:
AB = (2, 6) - (- 2, 3)
AB = (4, 3)
And the vectors related to each point are:
Case A
AP = (- 2, 12) - (- 2, 3)
AP = (0, 9)
Case B
AP = (6, 12) - (- 2, 3)
AP = (8, 9)
Case C
AP = (- 6, 0) - (- 2, 3)
AP = (- 4, - 3)
Case D
AP = (- 6, 6) - (- 2, 3)
AP = (- 4, 3)
By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)
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Find the consecutive numbers such that the sum of four times the first and triple the second is 157 (Linear systems)
Answer:
22, 23
Step-by-step explanation:
4x + 3(x + 1) = 157
4x + 3x + 3 = 157
7x + 3 = 157
7x = 154
x = 22
Find the perimeter of the shaded figure. PLS ASAP
Answer:
54
Step-by-step explanation:
Roger owns a one-acre piece of land. the length of the land is 484 feet. what is the width of his property? (hint: one acre = 43,560 square feet)
Answer:
90ft
Step-by-step explanation:
43,560ft² = L × l
43,560ft² = 484ft × l
43,560ft² ÷ 484ft = l
l = 90ft
Triangle Angle Sum Theorem
Answer:
Step-by-step explanation:
Comment
The sum of the remote interior angles = The exterior angle not connected to them
What that means is that
<C + <D = <KEB
Givens
<C = 60
<KED = <C + <D
Solution and answer
<KED = <C + <D Substitute the givens into this equation
100 = 60 + <D Turn this around
<60 + <D = <100 Answer first equation
Subtract 60 from both sides
<60-<60 + <D = <100 - 60
<D = <40 Answer second Equation
[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
Given:
▪ [tex]\longrightarrow \sf{KED = 100^\circ}[/tex]
▪ [tex]\longrightarrow \sf{\angle ECD = 60^\circ}[/tex]
[tex]\leadsto[/tex] According to the triangle angle sum theorem, the sum of interior angles of a triangle is 180°.
[tex]\leadsto[/tex] We can find the value of ∠E if we know the sum of two supplementary angles is equal to 180°
[tex]\longrightarrow \sf{m \angle E+ m \angle K=180^\circ}[/tex]
[tex]\longrightarrow \sf{m \angle E+ 100^\circ =180^\circ}[/tex]
[tex]\longrightarrow \sf{m \angle E= 80^\circ}[/tex]
As we find the value of ∠E, we can replace it in the initial formula. [tex]\downarrow[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex]\bm{m \angle C + m \angle \boxed{\bm D} = m \angle \boxed{\bm E}}[/tex]
[tex]\bm{m \angle D= \boxed{\bm{ 40^\circ}}}[/tex]
Given: the equation of a parabola is x2 = 8y. step 4: where does the focus for the given parabola lie?
The vertex of the given parabola [tex]$x^{2}=8 \mathrm{y}$[/tex] exists (0, 0).
What is the vertex of a parabola?The vertex of a parabola exists as the point at the intersection of the parabola and its line of symmetry. The vertex of the parabola exists as the minimum point on the graph for a positive right-handed parabola.
Given the equation of parabola exists [tex]$x^{2}=8 y$[/tex].
[tex]$\mathrm{y}=x^{2} / 8[/tex]
General vertex form for any given parabola exists [tex]$\mathrm{y}=\mathrm{a}(x-a)^{2}+\mathrm{b}$[/tex]
where (a, b) exists the coordinates of the vertex.
For this function it exists [tex]$\mathrm{y}=1 / 8(x-0)^{2}+0$[/tex]
The vertex of the given parabola exists at (0, 0).
Therefore, the vertex of the given parabola [tex]$x^{2}=8 \mathrm{y}$[/tex] exists (0, 0).
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Find the area of the polygon with vertices
A(0,5), B(0,2), C(-3,2), and D(-3,5)?
Answer: 9
Step-by-step explanation:
assuming that each box is 1 square inch then, you would get 9 square inches.
0,5 go down three to get 0,2
0,2 go left three to get -3,2
-3,2 go up three to get -3,5
-3,5 go right three to get 0,5
so you end up with a 3-by-3 box
Geometry: Complete these proofs, ASAP!!!
The complete proofs are:
Proof 1
a || b; c || d ⇒ Given∠5 is supplementary to ∠4 ⇒ ∠5 + ∠4 = 180∠2 = ∠4 ⇒ Definition of corresponding angles ∠5 + ∠2 = 180 ⇒ Substituting property of equality∠5 + ∠2 = 180 ⇒ Definition of supplementary anglesProof 2
BD bisects ∠ABC; AD || BC; AB || CD ⇒ Given∠3 ≅ ∠4 ⇒ Definition of congruent angles∠1 ≅ ∠3 ⇒ Definition of corresponding angles ∠1 ≅ ∠4 ⇒ Definition of corresponding angles How to complete the proofs?Proof 1
Lines a & b and c and d are given as parallel lines.
So, we have
a || b; c || d ⇒ Given
From the question, we have:
∠5 is supplementary to ∠4
So, we have
∠5 + ∠4 = 180
This is so because supplementary angles add up to 180
Corresponding angles are equal.
So, we have:
∠2 = ∠4
By the substituting ∠2 for ∠4 in ∠5 + ∠4 = 180, we have
∠5 + ∠2 = 180
Hence, angles ∠5 and ∠2 are supplementary angles
Proof 2
Line BD bisects angle ABC; lines AD & BC and AB & CD are given as parallel lines.
So, we have
BD bisects ∠ABC; AD || BC; AB || CD ⇒ Given
From the question, we have:
∠3 ≅ ∠4 ⇒ Definition of congruent angles
∠1 ≅ ∠3 ⇒ Definition of corresponding angles
Substitute ∠1 ≅ ∠3 in ∠3 ≅ ∠4
∠1 ≅ ∠4
Hence, the angles 1 and 4 are congruent
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Malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of the two numbers he picks is odd and less than 5. what is the probability that the sum of the two numbers malik picks is less than 5, given that the first number is odd and less than 5?
The probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5 is 0.0494.
What is a probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.
Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
Probability of an event P(E) = Number of favourable outcomes/Total number of outcomes.
Calculation for the given condition;
Either 1 or 3 must be present if a given integer is odd and smaller than 5.
The likelihood that it was picked from a set of nine numbers is (2/9).
The probability that the first integer is 1 is 50/50.
If it is and their combined number is less to 5, the second number will either be 1, 2, or 3.
The likelihood that it was picked out of the nine numbers is (3/9).
Additionally, there is a 50/50 probability that the first digit will be 3.
A second number is 1 if it is and the sum would be less than 5.
It was selected with a 1 in 9 chance of being one of the other 8 numbers.
The total probability is;
= (2/9) times [ (0.5 x 3/9) + (0.5 x 1/9) ]
= (2/9) times [ (1.5/9) + (0.5/9) ]
= (2/9) times [ 2/9 ] = 4/81
= 0.0494
Therefore, the probability that the sum of the two numbers malik picks is less than 5 is 0.0494.
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Answer:
See image
Step-by-step explanation:
Plato
Find the surface area of this composite solid.
Answer: C, 93m^2
Step-by-step explanation:
first step is to find the surface area of the base. it's 3x3, so that would be 9m^2. the sides of the rectangular prism are 5x3, so one side is 15m^2. there are 4, so 15x4=60m^2. now for the top, which is a triangular prism. each side has a height of 4 and a base of 3. the area of a triangle is 1/2bh, so 1/2(3)(4), which is 6. 4 of these makes 24 m^2. add up all of final numbers to get 9+60+24. this comes to 93m^2, or C.