Input data
Scheme
Procedure
The radius of the yellow circle is 5 inches
The diameter of the yellow circle is 10 inches
The are of the yellow circle is 78.5 square inches
Area = pi*r^2
Area = 3.14*5^2 = 78.5
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
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What expression is equivalent to 1/3(4x + 9) + 5x?
Answer:
19/3x+3 or 6 1/3x+3
Step-by-step explanation:
lets simplify:
1/3(4x+9)+5x.
distribute 1/3 :
4/3x+3+5x
add x together:
4/3x+5x=19/3=6 1/3.
final answer:
19/3+3
determine exponential function whose graph is given
Answer:
What are the coordinates of point P after a counterclockwise rotation of 90°?
Step-by-step explanation:
a dog is moving at a constant speed of 8 m/s. what is the dog’s acceleration
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \: Acceleration_{dog} = 0\)
____________________________________
\( \large \tt Solution \: : \)
A dog is moving at a constant speed of 8 m/s, that concludes that there's no change in its speed with respect to time.
And Acceleration is define as rate of change in velocity, but since velocity/speed is constant. change in velocity = 0
Henceforth, Acceleration of dog is 0 as well.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer: Acceleration = 0 ✅
Step-by-step explanation:
Hii, let me help you out! (:
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Part 1Acceleration means "change in speed (which is also known as velocity, V, in physics) per a specific amount of time.
Part 1 is Successfully completed!
↪
Part 2Our Dog ProblemNow let's focus on finding the acceleration of the dog.
Like I said above, \(\sf Acceleration=change\;in\;speed\;per\;a\;specific\;amount\;of\;time\)
Well, we are provided with the information that the dog's speed is constant. This means that it doesn't change. So the dog keeps on moving at a speed of 8 m/s. This means that its speed doesn't change, so the change in speed is 0. And this means that its acceleration is 0.
Voila! There's our answer, cheers! (:
___________________Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
\(\underbrace\)
Which expression is equivalent to a^7
Answer:
\(\sqrt{a^{6} *a}\)
Step-by-step explanation:
when multiplying exponents, as long as the base is the same, you add the power. \(a^{6}*a^1=a^(6+1)=a^7\)
Order: RL 1,000 mL IV infuse over 16 hours. What is the pump setting
in Lib?
Solve for y.
8
= -7
y +7
Simplify your answer as much as possible.
y = 0
No
solution
3
X Х
?
Answer:
y=−1/7
for the picture is y=-57/7
Step-by-step explanation:
1. 8= -7y +7Switch:sides
-7y+7=8
subtract 7 from both sides
-7y=1
divide both sides by -7
y=−1/7
2.so for 8/y+7=-7multiply both sides by (y+7)
8/y+7(y+7)=-7(y+7)
simplify 8=-7(y+7)
flip
-7(y+7)=8
divide both sides by -7
y+7=-8/7
subtract 7 from both sides
and simplify
y=-57/7
mr. g finds a house for $155,000. He meets with the bank and finds a 30 year simple interest mortgage. If mr g accepts the mortgage, he would pay $232,500 in simple interest over the life of his loan. How much is his interest rate?
The interest rate on the mortgage is 5 %
What is the interest rateLet's begin by using the formula for simple interest:
I = P * r * t
where I is the interest, P is the principal (the amount borrowed), r is the interest rate, and t is the time (in years).
For Mr. G's mortgage, we know that the principal is $155,000 and the time is 30 years. We can use this information to solve for the interest rate, r.
First, we need to calculate the total amount that Mr. G will pay over the life of the loan (the principal plus the interest):
A = P + I
where A is the total amount, P is the principal, and I is the interest.
We know that Mr. G will pay $232,500 in interest, so we can solve for A:
Let's begin by using the formula for simple interest:
I = P * r * t
where I is the interest, P is the principal (the amount borrowed), r is the interest rate, and t is the time (in years).
For Mr. G's mortgage, we know that the principal is $155,000 and the time is 30 years. We can use this information to solve for the interest rate, r.
First, we need to calculate the total amount that Mr. G will pay over the life of the loan (the principal plus the interest):
A = P + I
where A is the total amount, P is the principal, and I is the interest.
We know that Mr. G will pay $232,500 in interest, so we can solve for A:
A = P + I
A = $155,000 + $232,500
A = $387,500
Now we can use the formula for simple interest to solve for the interest rate, r:
I = P * r * t
$232,500 = $155,000 * r * 30
r = $232,500 / ($155,000 * 30)
r = 0.05 or 5%
Therefore, Mr. G's interest rate is 5%.
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Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
9+9+3=21
1234+1234+1234= 30
9+1224+12=?
Answer:
9+1224+12=1245
Hope this helps
Answer:
Mathematically,
9+1224+12 = 1245
But, Logically, here:
9+1224+12 = 21
Given any triangle how many degrees add up to the interor of the sum of all angles
In any triangle, interior angles add up to 180 degrees. This imply that
\(a+70+50=180\)and from this equality, we can find a:
\(\begin{gathered} a+120=180 \\ a=180-120 \\ a=60 \end{gathered}\)solve.draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence.2/3 of 3/5
The rectangular fraction model can be drawn as,
Now, the multiplication can be done as,
\(\frac{2}{3}\times\frac{3}{5}=\frac{2}{5}\)Evaluate: [7(5 – 2) + 42] ÷ 9
Answer:
7
Step-by-step explanation:
1 1/2x3 2/3 please help
Answer:
1 1.5 2/3
Step-by-step explanation:
best i can because ur question isnt clear
For any positive numbers a, b, and d, with b + 1, logo
= d.logy a.
A. da
B. ad. logo ad
оооо
c. logo a + logo d
+
D. ad
For any positive numbers a, b, and d, with b ≠ 1, \(d*log_ba=lob_ba^d\)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given:
\(d*log_ba\\\\Using\ law\ of\ logarithms:\\\\d*log_ba=lob_ba^d\)
For any positive numbers a, b, and d, with b ≠ 1, \(d*log_ba=lob_ba^d\)
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A jar contains 20 yellow jellybeans, 20 orange jellybeans, 20 red jellybeans and 20 green jellybeans.
Required:
a. In how many ways can you put all the jellybeans in a row?
b. How many ways are there to select a handful of 20 jellybeans?
c. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red?
d. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange?
Answer:
A)
\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)
B)
\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)
C)
= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)
D)
= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)
Step-by-step explanation:
A) How many ways can you put all Jellybeans in a row
Total number of Jellybeans = 80
The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans
Therefore the number of ways the Jellybeans can be put in a row is :
\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)
B) How many ways are there to select a handful of 20 jellybeans
lets assume:
yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d
a + b + c + d = 20
This is the number Non-negative integer solutions
= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)
C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3
hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red
= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)
D) In this case the value of C ≥ 3 and B ≤ 2
Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange
= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)
Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.
a) Write an equation to represent the number of records in Jessie's collection based on the number of weeks he has been collecting records.
3 per week + blank=8 Step-by-step explanation: brainly plz
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes? 4 1 H1 H H 2 H2 H2 3. H3 H3 H4 4. O T T 1 11 T1 2 T2 T2 3 T3 T3 T4 1 4 H T 2 T2 T2 3 H3 H3 H1 4 0 T 1 T1 H1 2 T2 H2 3 T3 H3 H4
Answer:
The bottom table.
Step-by-step explanation:
It's the only one that shows options for heads and tails for every number.
Answer:
D the last one
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=34 and EB=38, solve for EA. Round to the nearest tenth if necessary
The value of side EA is,
EA = 16.9
We have to given that;
Circle E with diameter CD and radius EA.
And, AB is tangent to E at A.
Here, AB = 34 and EB = 38
Hence, By using Pythagoras theorem we get;
AB² + AE² = EB²
34² + AE² = 38²
1156 + AE² = 1444
AE² = 1444 - 1156
AE² = 288
AE = √288
AE = 16.9
Thus, The value of side EA is,
EA = 16.9
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Express as a ratio in the lowest term 1.360meter to 3 kilometers 2.2 minutes to 14 seconds
Answer:
1360322
Step-by-step explanation:
do ot nowwwwwwwww
Which of the following sets represents the range of the diagram below?
The set that represents the range of the diagram below is given as follows:
B. {3, 5, 7}.
What is the range of a data-set?It is the set that contains all possible output values.
In the diagram, we have that:
The input values are: {1,2,3,4,5}.The output values are: {3,5,7}.Hence the set that represents the range of the diagram below is given as follows:
B. {3, 5, 7}.
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What is the least number to be subtracted from 1690 to make it perfect square?
Answer:
90
Step-by-step explanation:
1600;is a perfect square as 40*40.
if we subtraction 90 from 1690 it is a perfect square..
A store is having a sale on jelly beans and trail mix. For 9 pounds of jelly beans and 7 pounds of trail mix, the total cost is $51 . For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $27. Find the cost for each pound of jelly beans and each pound of trail mix.
Answer: Trail Mix is $2.75 per pound-
Jelly beans are $3.75 per pound-
Its hard to explain, but heres the answer! brainly please
a(-6) = -42 what is a?
Answer:
it is 7
Step-by-step explanation:
The area of the circular base of a cone is 16π cm², and the slant height of the cone is 4 times the radius of the cone.
What is the approximate lateral area of the cone?
The approximate lateral area of the cone is equal to 200.96 cm².
How to calculate the lateral area of the cone?Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:
Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)
Where
l represents the slant height of the cone.r represents the radius of the cone.h represents the height of the cone.How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
Area of a circular base = πr²
16π = πr²
Radius, r = √16
Radius, r = 4 cm.
Substituting the given parameters into the lateral area of a cone formula, we have the following;
Lateral surface area of a cone, LSA = πrl = πr4(r)
Lateral surface area of a cone, LSA = 3.14 × 4 × 16
Lateral surface area of a cone, LSA = 200.96 cm².
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Answer:
201 beause you are rounding to the nearest whole number
Step-by-step explanation:
SARDINES ARE $0.75 A POUND AND I WANT TO BUY 165.345 POUNDS HOW MUCH WOULD I PAY?
Answer:
Step-by-step explanation:
.75 x 165.345 = 124.00875, which would round to $124 total.
Answer:
$124.0087
Step-by-step explanation:
0.75x165.345
also can you mark me brainliest when someone else answers because I need to level up my Brainly, thanks.
g A plane flying with a constant speed of 29 km/min passes over a ground radar station at an altitude of 15 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing 5 minutes later
Answer:
At 28.93 km/min is the distance from the plane to the radar station increasing 5 minutes later
Step-by-step explanation:
Refer the attached figure
\(\angle A =45+90=135^{\circ}\)
We are given A plane flying with a constant speed of 29 km/min passes over a ground radar station at an altitude of 15 km
\(\frac{dy}{dt}=29\)
x=15 km
We will use cosine law
\(z^2=x^2+y^2-2xy Cos A\\z^2=15^2+y^2-30y Cos A\\z^2=225+y^2-30y Cos A\)----1
Differentiating
\(2z\frac{dz}{dt}=2y\frac{dy}{dt}-30Cos(135^{\circ})\frac{dy}{dt}\)----2
\(\frac{dy}{dt}=29\\y=5 \times 29 =145\)
Substitute values in 1
\(z^2=225+(145)^2-30(145) Cos (135)\\z=\sqrt{225+(145)^2-30(145) Cos (135)}\)
z=155.96 km
Substitute values in 2
So, \(2(155.96)\frac{dz}{dt}=2(145)(29)-30Cos(135^{\circ})(29)\)
\(\frac{dz}{dt}=\frac{2(145)(29)-30Cos(135^{\circ})(29)}{2(155.96)}\)
\(\frac{dz}{dt}=28.93\)
Hence At 28.93 km/min is the distance from the plane to the radar station increasing 5 minutes later
The rate at which the distance from the plane to the radar station is increasing 5 minutes later is; 28.85 km/min
Since the train passes at an altitude of 15 km.
Let us say a = 15 km
Then it climbs at an angle of 45°
Plane is flying at a speed of 29 km/min
Thus, in t minutes, it will have flown a distance of 29t km
Now, the distance of the plane from the radar station t minutes later is gotten by Pythagoras theorem as;
x(t) = √[(29t)² + (15²)]
x(t) = √(841t² + 225)
x'(t) = dx/dt = 841t/(√(841t² + 225))
After t = 5 minutes, we have;
x'(5) = (841 × 5)/(√((841 * 5²) + 225))
x'(t) = 4205/145.7738
x'(t) = 28.85 km/min
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This graph represents the flight path of a model rocket launched in a park.
What do the key features of the curve represent in terms of the flight path of the rocket?
Chose from the drop-down to match each situation.
ill give brainlyest to the first to correctly answer this
The drop down menu is used to match each situation as below.
1. The rocket reached its maximum the x-value of the vertex
height in 5 s.
2. ground level the y-intercept
3. The rocket launcher was the y-value of the point containing
on the ground. the x-intercept on the right
4. The rocket was in the air 10 the x-intercept on the right
5. The maximum height of the the y-value of the vertex
rocket is 50 ft.
6. the time the rocket was the x-value of the point containing the
launched y-intercept
What is the key feature of the curveThe key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.
The vertex is the point the rocket had the maximum and height.
Generally, the curve traces a parabolic path
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You know you need to score at least 82 points on the final exam to pass your
class. After the final, you find out that the average score on the exam was 78
with a standard deviation of 7. How likely is it that you pass the class?
You know you need to score at least 82 points on the final exam to pass your class. 28.39% is the probability to pass the class.
This is further explained below.
How likely is it that you pass the class?Generally,
\(P(x \geq 82) &=1-P(x < 82) \\\)
Therefore
\(=1-P\left[\frac{x-\mu}{5 d} < \frac{82-\mu}{5 d}\right] \\\\=1-P\left[z < \frac{82.78}{7}\right] \\\\=1-P[z < 0.5714] \\\)
P(x \geq 82) =1-0.7161
P(x \geq 82) =0.2839
28.39% is the probability to pass the class.
In conclusion, You are aware that in order to complete this class, you must get a score of 82 points or above on the final exam. The likelihood of passing the course comes in at 28.39%.
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