Step-by-step explanation:
Given, the chipmunks dropped an acron from the top of a tree. The acron was 0.25 kg and had a velocity of 4 m/s when it hit ground.
Kinetic energy =[tex]\frac{1}{2} m v^2[/tex]
Here m = 0.25 kg and v =4 m/s
Kinetic energy of the acron had =[tex]\frac{1}{2}\times 0.25 \times 4^2[/tex] J
= 2 J
The kinetic energy of the Chipmunk is 2 Joules.
Kinetic energy is the energy than an object possesses due to its motion. It is given by:
Kinetic Energy(KE) = (1/2)mv²
Where m is mass, v is velocity.
Given that m = 0.25 kg, v = 4 m/s, hence:
KE = (1/2)mv²
KE = (1/2) * 0.25 * 4² = 2J
The kinetic energy of the Chipmunk is 2 Joules.
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jorge took a speed reading class last saturday from 9 am to 4 pm. he learned that he can speed read 330 pages of a novel in one hour with good comprehension. how many pages does he speed read in 225 minutes
Answer:
1hr = 60min
225min/ 60min = 3.75 hr
330 pgs. * 3.75hr = 1237.5 pages
He read 1237.5 pages in 225 minutes.
Jorge can speed read 1237.5 pages in 225 minutes.
How to convert the speed of something per hour to per minute.If the speed of something is given per hour. We can convert it to per minute by dividing the speed by 60. This is because 1 hour = 60 minutes.
It is given that he can speed read around 330 words per hour.
We have to convert this into per minute.
This can be done as follows:
Speed = 330 pages per hour
= 330/60 pages per minute
= 5.5 pages per minute
We can multiply the number of pages per minute with the number of minutes to find how many pages he would have completed in that time:
5.5 * 225 = 1237.5 pages
Thus, we have found that Jorge can speed read 1237.5 pages in 225 minutes.
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The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board? ( A=3.14r2)
Step-by-step explanation:
Given , The length of side of the square is 8 feet.
Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .
Therefore the diameter of the circle is = 8 feet.
Radius of the circle is(r) = [tex]\frac{8}{2}[/tex] feet = 4 feet
The area of the circle is= 3.14 r²
= 3.14 × 4² square feet
= 50.24 square feet
The area of the square is = side × side
= 8×6 square feet
=64 square feet
Therefore the area of remaining board = (64- 50.24)square feet
=13.76 square feet
Please do 24 26 28 30
Answer:
its increasing by 2,u can think of it as taking away the 2 in the ones place and skip counting by 2 like your in the ones place
Please Help
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth
The equation of the line is [tex]y=-\frac{3}{4}x+\frac{1}{4}[/tex]
Step-by-step explanation:
The equation of a line can be written using the following form
[tex]y-y_0 = m(x-x_0)[/tex]
where
m is the slope of the line
[tex](x_0,y_0)[/tex] are the coordinates of a point lying on the line
For the line in this problem, we know that:
[tex]m=-\frac{3}{4}[/tex] is the slope
[tex](x_0,y_0)=(-5,4)[/tex] are the coordinates of the point
Therefore, substituting into the equation,
[tex]y-4=-\frac{3}{4}(x-(-5))[/tex]
And re-arranging the equation we get:
[tex]y-4=-\frac{3}{4}(x+5)\\y-4=-\frac{3}{4}x-\frac{15}{4}\\y=-\frac{3}{4}x+(4-\frac{15}{4})\\y=-\frac{3}{4}x+\frac{1}{4}[/tex]
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10x+4y+ 12z=120
11x +77y =220
8x +2y +32z =160
Answer:
x=8.94 ; y = 1.58; z=2.02
Step-by-step explanation:
solve 10x+4y+12z = 120 → 5x+2y+6z = 60
8x + 2y +32Z = 160 → 4x+y+16z = 80
To eliminate z multiply first equation by 16 and second equation by 6.
80x+32y+96z = 960
24x+6y+96z = 480
on subtractionwe get 56x+26y = 480
dividing by 2 we get, 28x + 13y = 240
Now we have a given equation 11x + 77y = 220 → x + 7y = 20
solving 28x + 13y = 240 and x + 7y = 20
28x + 13y =240
28x + 216y = 560
subtracting we get, 203y = 320
y = 1.58
x = 8.94
z = 2.02
A line passes through the points (8, –1) and (–4, 2). A coordinate plane. What is the y-intercept of this line?
-4
-1
1
4
Answer:
y-intercept is 1
Step-by-step explanation:
We need to find the equation of the line first.
GradientThe gradient is found using the formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{-1-2}{8--4}[/tex]
[tex]m=-\frac{1}{4}[/tex]
So the equation is y = [tex]-\frac{1}{4}[/tex]x + c
Finding cTo find c we need to substitute the value of x and y into the equation:
-1 = [tex]-\frac{8}{4}[/tex] + c
-1 = -2 + c
1 = c
And c is the y-intercept so it is 1
Answer:
y- intercept = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (8, - 1) and (x₂, y₂ ) = (- 4, 2)
m = [tex]\frac{2+1}{-4-8}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex], thus
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, - 1), then
- 1 = - 2 + c ⇒ - 1 + 2 = 1 ← y- intercept
14 divided by 0.5 equals
Answer:
[tex]28[/tex]
Step-by-step explanation:
[tex] = \frac{14}{0.5} \ \\ \\ = \frac{14 \times 10}{5} \\ \\ = 14 \times 2 \\ = 28[/tex]
Answer:
[tex]28[/tex]........
(9x – 8) /
x + 10)
(x+2)
Answer:
15
Step-by-step explanation:
you work it out
11 less than 7 times a number
is 5 more than 6 times the
number. Find the number
Answer:
5 i think. im not good at math. sorry if wrong
So I work at a welding shop,I cut alot of metal,if I cut a 17ft piece of metal and I need to punch 8 holes in it,how can I figure out how far apart each hole needs to be from each other so they can be even
Answer: 2.125 ft
Step-by-step explanation:
17/8=2.125
In order words each hole needs to be 2 ft and 1 and 1/2 inches apart.
The bottom of Ignacio's desktop is
74.5 cm from the floor. Ignacio sits in his adjustable chair, and the tops of his legs are 49.3 cm from the floor. Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8 cm Write an inequality to determine the number of clockwise rotations, r, Ignacio could make with the knob without his legs touching the desk.
Answer:
The inequality to determine the number of rotations is given by
r ≤ 5.25
Therefore the maximum number of rotations possible is 5.
Step-by-step explanation:
i.) The bottom of Ignacio's desktop is 74.5 cm from the floor.
ii.) The tops of his legs are 49.3 cm from the floor.
iii.) the difference between the bottom of Ignacio's desktop and the top of his legs = 74.5 - 49.3 = 25.2 cm.
iv.) Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8 cm.
v.) let the number of clockwise rotations be r.
vi.) therefore the inequality to determine the number of rotations is given by
4.8r ≤ 25.2 therefore r ≤ 25.2/4.8 therefore r ≤ 5.25
A line passes through (5,3) with a slope of 3/5. Plot 3 points on this line
Answer:
y=3/5*x, A(0,0), B(1,3/5), C(2,6/5)
Step-by-step explanation:
A(5,3)=(x1,y1)....x1=5, y1=3
m=3/5
y-y1=m(x-x1)
y-3=3/5(x-5)
y-3=3/5*x-3/5*5
y-3=3/5*x - 3
y=3/5*x-3+3
y=3/5*x
x=0, y=3/5*x, y=3/5*0=0 A(0,0)
x=1, y=3/5*1=3/5 B(1,3/5)
x=2, y=3/5*2=6/5 C(2,6/5)
Cristiano is rolling a number cube. What is the probability of rolling a , or
a 6 followed by a 3 or a 4?
The probability of rolling a 6 followed by either a 3 or a 4 on a six-sided die is calculated by multiplying the probability of rolling a 6 (1/6) by the probability of then rolling either a 3 or a 4 (1/3), resulting in a combined probability of 1/18.
The question posed is about the probability of rolling a 6 followed by either a 3 or a 4 on a standard six-sided die. To find this, we first consider that the probability of rolling a specific number, such as a 6, on a six-sided die is 1/6. This is because there are 6 outcomes and only one of those outcomes is the desired number.
When rolling for the second number, which could either be a 3 or a 4, we have two desired outcomes out of the six possible outcomes on the die. Therefore, the probability of rolling either a 3 or a 4 is 2/6, which simplifies to 1/3.
To find the overall probability of rolling a 6 followed by either a 3 or a 4, we multiply the two probabilities together: (1/6) * (1/3) = 1/18. Therefore, the probability of this event occurring is 1/18.
Bonnie has to maintaining an average of 90 in all of her classes to have an A average . In math , she has scored 93,70,99 and 95 on the first four tests . What must she score on the last test to have an average 90 ?
Answer:trey wey ery day
Step-by-step explanation:
Answer:it’s 93 that’s all that matters
Step-by-step explanation:
The following two triangles have the same angles, and are similar. What is the ratio of hypotenuse to base for the triangles?
Answer:
A) The ratio of hypotenuse to base for the triangles is 0.75
Step-by-step explanation:
Here, the given question is INCOMPLETE.
The following two triangles have the same angles, and are similar. What is the ratio of height to base for the triangles?
A) .75
B) 1.00
C) 1.25
D) 2.50
Here, given that the two triangles are similar.
In triangle one:
Height = 6 units , Base = 8 units
In triangle one:
Height = 3 units , Base = 4 units
Now,as the two given triangles are similar.
⇒Their corresponding sides are PROPORTIONAL.
[tex]\implies \frac{H}{h} = \frac{B}{b} = \frac{6}{8} = \frac{3}{4} = 0.75[/tex]
So, in both the triangles, the corresponding side ratio is 0.75.
Hence, the ratio of hypotenuse to base for the triangles is 0.75
What is the volume, in cubic inches, of the baseball ?
Answer:
The volume of a baseball is about 13.39 cubic inches.
Step-by-step explanation:
Which polygon has an interior measure of 900°?
The polygon is a heptagon whose interior measure is 900 degrees
Solution:
The formula for calculating the sum of the measures of the interior angles of a polygon is:
[tex]S = (n-2) \times 180[/tex]
Where,
S = Sum of all interior angles
n = number of sides
From the given data:
S = 900
Therefore,
[tex]900 = (n-2) \times 180\\\\Divide\ both\ sides\ by\ 180\\\\n - 2 = 5\\\\n = 5 + 2\\\\n = 7[/tex]
The number of sides is 7
Heptagon is a seven-sided polygon or 7-gon
Therefore, the polygon is a heptagon
Answer:
its d on e2020 if anyone wanted the simple answer
Step-by-step explanation:
What is a initial population for an exponential function represented in an equation that represents the function?
The initial population is represented by [tex]P_{0}[/tex] which is the population at [tex]t=0[/tex], in other words [tex]P_{0}=20,000[/tex]
Explanation:Suppose you have the following problem:
The population of Naguanagua in 2019 is estimated to be 20,000 people with an annual rate of increase of 4%. Which equation models the population of Naguanagua in t years?
Let:
[tex]P:Population \ of \ Naguanagua \\ \\ t:Number \ of \ years \ since \ 2019 \\ \\ r:Rate \ of \ increase[/tex]
So the population of Naguanagua can be modeled by the following equation:
[tex]P=P_{0}(1+r)^t \\ \\ P_{0}=20,000 \\ \\ r=4\%=0.04 \\ \\ \\ P=20,000(1+0.04)^t \\ \\ P=20,000(1.04)^t[/tex]
So the initial population is represented by [tex]P_{0}[/tex] which is the population at [tex]t=0[/tex], in other words [tex]P_{0}=20,000[/tex]
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What is it (6+9)-7-7
Answer:
1
Step-by-step explanation:
Cesar is 35 years old. He has $870 in a checking account, $2900 in a savings
account, $13,000 in a retirement account, and owns a car worth $5900. What
is the total value of his liquid assets?
A. $3270
O B. $18,900
O c. $22,170
O D. $2900
please help
Answer:
A. $3770
Step-by-step explanation:
The correct answer must be $3770 (not $3270), checking accounts and savings accounts are liquid assets. However, cars are not liquid assets because liquid assets are things that can be quickly turned into cash without losing much if any of their inherent value. In this case, the retirement account is not a liquid asset as it is designed to hold your money until retirement age, and given that Cesar is 35 years old so he has not reached retirement age.
Answer:
the answer is a 3770.
Step-by-step explanation:
45 %of population of a town is female . what's the population of male if total population is 54320
Answer:29876
Step-by-step explanation:
Entire population is 100%
Male is 100%-45%
55%x54320=29876
Answer:
29,876 males
Step-by-step explanation:
If 45% of 54320 population is female. The population of male is calculated below.
The total population is 100% and female is 45%. Thus: 100% - 45% = 55%.
Percentage of male population is 55%. Hence, 55% of 54320 is calculated thus:
[tex] \frac{55}{100} \times 54320[/tex]
[tex] = 0.55 \times 54320[/tex]
[tex] = 29876[/tex]
Therefore, population of male if total population is 54320 is 29,876.
Check,
Female population percentage + male population percentage:
45% + 55% = 100%
24,444 + 29,876 = 54,320
what is the value of 1-2/3*4+5=
josh's grandfather gave him one penny on the day he was born. he plans to double the amount he gives Josh every day. estimate how much Josh will recieve from his grandfather on the 15th day.
Answer: 32767 pennies
what is the slope of a line that passes through the points (3,-6) and (0,-1)
Answer:
Step-by-step explanation:
[tex]\frac{-1+6}{0-3}\\\\\frac{5}{-3}\\ m = -1.6667[/tex]
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
3 x + 13 y = 14. 6 x + 11 y = negative 2.
4 x + 5 y = 12. 8 x + 3 y = negative 4.
5 x + 4 y = 12. 7 x + 8 y = 12.
10 x + 3 y = 8. 17 x + 6 y = 10.
Answer:
[tex]3x+13y=14\\\\6x+11y=-2[/tex]
Step-by-step explanation:
We have to check [tex](-4,2)[/tex] satisfies which system.
First System:
[tex]3x+13y=14\\\\6x+11y=-2\\\\Substitute\ (-4,2)\ in\ the\ equations\\\\3\times (-4)+13\times (2)=14\\\\-12+26=14\\\\14=14\\\\6\times (-4)+11\times (2)=-2\\\\-24+22=-2\\\\-2=-2\\\\(-4,2) \ satisfies\ this\ system\ of\ equation.\ Hence\ (-4,2)\ is\ the\ solution\ of\ this\ system.[/tex]
Second System:
[tex]4x+5y=12\\\\8x+3y=-4\\\\Substitute\ (-4,2)\\\\4\times (-4)+5\times (2)=-6\\\\-6\not=12\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]
Third System:
[tex]5x+4y=12\\\\7x+8y=12\\\\Substitute\ (-4,2)\\\\5\times (-4)+4\times (2)=-12\\\\-12\not =12\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]
Fourth System:
[tex]10x+3y=8\\\\17x+6y=10\\\\Substitute\ (-4,2)\\\\10\times (-4)+3\times (2)=-34\\\\-34\not =8\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]
Answer:
3x+13y=14\\\\6x+11y=-2
Step-by-step explanation:
solve the proportional equation 3/m-2 = 7/m+2
Answer:
The answer is m = 5
Step-by-step explanation:
Let's solve the proportional equation, this way:
3/m-2 = 7/m+2
3 * (m + 2) = 7 * (m - 2) [Lowest common denominator (m + 2) * (m - 2)]
3m + 6 = 7m - 14
-4m = -14 - 6 (Like terms)
-4m = -20
m = -20/-4
m = 5
The answer is m = 5
What is x divided by y
Answer:
X/Y
Step-by-step explanation:
You cannot divide two variables so you just leave it as a fraction
The result of division, when, x divided by y is: x/y.
Here, we have,
given that,
What is x divided by y
i.e. now, we have to divide x by y
so, we get, x is the dividend, and y is the divisor,
so, x = numerator
and, y = denominator
we know that,
we cannot divide two variables so we just leave it as a fraction
i.e. we get,
x divided by y = x/y
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How do you explain 87% of 55?
Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each player have
Answer:
Ricky had 1199 hits.
Pedro had 1482 hits.
Step-by-step explanation:
State your variables
let "p" be the number of Pedro's base hits
let "r" be the number of Ricky's base hits
Create equations using information from the problem
p + r = 2681 [1]
p = r + 283 [2]
Substitute equation [2] in equation [1] replacing 'p'
p + r = 2681
r + 283 + r = 2681
Combine like terms to simplify
2r + 283 = 2681
Isolate '"r" to solve for Ricky's base hits.
2r + 283 - 283 = 2681 - 283 Subtract 283 on both sides
2r = 2398
2r/2 = 2398/2 Divide both sides by 2
r = 1199 Number of Ricky's hits
Substitute r = 1199 into any equation to find "p". I will use [2].
p = r + 283
p = 1199 + 283 Add
p = 1482 Number of Pedro's hits
Therefore Ricky had 1199 hits and Pedro had 1482 hits.
Ricky had 1199 hits and Pedro had 1482 hits.
Explanation:To solve this problem, we can set up a system of equations. Let x represent the number of hits Ricky had. Pedro had 283 more hits, so Pedro's number of hits would be x + 283.
Together, their hits add up to 2681, so we can write the equation:
x + (x + 283) = 2681
Combining like terms:
2x + 283 = 2681
Subtracting 283 from both sides:
2x = 2398
Dividing both sides by 2:
x = 1199
Ricky had 1199 hits and Pedro had x + 283 = 1199 + 283 = 1482 hits.
Simplify.
Rewrite the expression in the form 4^n
(4^6)(4^-8) =
Answer:
4^-2
Step-by-step explanation:
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
This means ...
(4^6)(4^-8) = 4^(6-8) = 4^-2
To simplify the expression (4^6)(4^-8), add the exponents and rewrite the expression as 4^(-2). Then, use the rule that states any number raised to the power of -1 is the reciprocal of that number to rewrite 4^-2 as 1/(4^2) which equals 1/16.
Explanation:To simplify the expression (4^6)(4^-8), we can use the rule that states when you multiply two powers with the same base, you add their exponents. In this case, 4^6 multiplied by 4^-8 will be equal to 4^(6 + (-8)). Simplifying the exponent, we have 4^(-2). Since any number raised to the power of -1 is the reciprocal of that number, we can rewrite 4^-2 as 1/(4^2) which is equal to 1/16.
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