5 feet is the greatest distance that a person could be from the lamp and be detected.
What is equation of circle?A circle is defined as round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
Since we have given that
The equation is :
[tex](x+15)^2+(y-12)^2=25[/tex]
It is the equation of circle in which center is (h,k) i.e. ( 15,12)
The general equation of circle is given by
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here, the radius 'r' is given by
[tex]r^2=25[/tex]
[tex]r=\sqrt{25[/tex]
[tex]r=5[/tex]
Here, the greatest distance a person could be from the lamp and be detected is represented by radius i.e. r = 5 feet.
Hence, 5 feet is the greatest distance that a person could be from the lamp and be detected.
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How many electrons can there be in the 5s subshell.
s orbital mentioned
Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10
Hence 5s contains 2electronsRule for electron in nth shell=2n²
El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?
Answer:
x≈5
Step-by-step explanation:
x^2-5x6=0
x^2-30=0
x^2-30+30=30+0
x^2=30
x≈5
Find the area of the figure.
8 ft
10 ft
O a
Ob
80.0.42
105.1.12
50.3.12
25.3.12
С
8 .
d
Answer:
b because you add the 8 by 2 because 10 is too long and 8 is perfect size
Multiple choice math question. Question #15
Answer:
that would also be car 1, because in a rotation like that its like you do a spin and come back to the same position, that is a 360 rotation.
Answer:
the answer is car 1
Step-by-step explanation:
Which angles are corresponding angles
Answer:
second option is correct onee
Step-by-step explanation:
mark me brainliest
Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Barbie selects a coin and puts it back in the jar and then Darren selects a coin from the jar. Is this a set of independent or dependent events?
Answer:
This is a set of independent events.
The painting shown on the right has an area of 300 in^2. what is the value of x?
Answer: X = 10.20240940...
Step-by-step explanation:
x(2x + 9) = 2x^2 + 9x
2x^2 + 9x = 300
- 300 ON BOTH SIDES
2x^2 + 9x - 300 = 0
SOLVE USING THE QUADRATIC FORMULA
x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)
When all the values are plugged in:
When using "+" in the equation you should get:
x = 10.20240940…
When using "-" in the equation you should get:
x = −14.70240940…
Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...
YOUR ANSWER IS: x = 10.20240940...
Find (f+g)(x) if f(x)=2√m and g(x)= 3√4m
Answer Options:
1. (f+g)(x)= 11√m
2. (f+g)(x)= -4√m
3. (f+g)(x)= 8√m
4. (f+g)(x)= -7√m
Answer: 3
Step-by-step explanation:
Factor 10a^3 b ^2 −5a^2 b+15a^2 b^3 PLS HELP IM STUCKK
[tex]10a^3b^2-5a^2b+15a^2b^3\\\\=5a^2b(2ab-1+3b^2)[/tex]
if a meatllic cylinder having volume 2464cm3 melted into a sphere then find the radius of that sphere
Answer:
Given: Volume of cone = 2464 cm3 Height of cone = 12 cm
Step-by-step explanation:
What is the approximate circumference of the circle?
What is the height of the parallelogram?
What would be the approximate length of the parallelogram if the base were completely straight?
What would make the estimation of the circle’s area more precise?
What is the area of the circle used to create the parallelogram-like shape to the nearest tenth of a square unit?
1. 18.8 units
2. 3 units
3. 9.4 units
Breaking the circle into more sectors
4. 28.3 square units1. The circumference of circle is 18.8 units
2. The height of parallelogram is 3 unit.
3. The approximate length of the parallelogram if the base were completely straight is 9.4 unit
4. The estimation is easier by breaking down into sector.
5. Area of Circle is 28. 26 unit²
What is Circumference?The circumference of the circle is 2πr where is the radius of the circle.
1. The circumference of circle
= 2πr
= 2 x 3.14 x 3
= 18.8 units
2. From Figure the height of parallelogram is 3 unit.
3. The approximate length of the parallelogram if the base were completely straight
= 18.8 / 2
= 9.4 unit
4. The estimation is easier by breaking down into sector.
5. Area of Circle
= πr²
= 3.14 x 9
= 28. 26 unit²
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graph the function y=x-10
1. Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? 2. Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two inequalities to describe Andre’s height. Let a be Andre’s height in centimeters. 3. Select all heights that could be Andre’s height in centimeters. If you get stuck, consider drawing a number line to help you a) 150 b) 154.5 c) 160 d) 162.5 e) 164
Answer
Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.
Step-by-step explanation:
no step by step explanation
does that help??
The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
1) We have inequalities h > 150 and h < 160 for Lin height.
The height of the Lin varies between 150 cm to 160 cm because:
h ∈ (150, 160)
2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:
h < h' < 164
3) As the inequality for the Lin height: h > 150 and h < 160 or
h ∈ (150, 160)
And h < 164
So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.
Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
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Find value of a and b.
Answer:
a = 65
b = 65
Step-by-step explanation:
a = 65 becasue of corresponding angles.
a and b are opposite angles of a parallelogram.
b = a = 65
Answer:
a=65° b=65°
Step-by-step explanation:
from the diagram,
b=65° (alternative angles are equal)
a=65° (corresponding angles are equal)
What value of x is in the solution set of 4x - 12 S 16 + 8x?
You gave little context, so here is a few solutions.
POSSIBLE #1:
assuming s is a variable
---> Simplify [tex]12S[/tex] × [tex]16[/tex] to [tex]192S[/tex]
[tex]4x-192S+8x[/tex]
---> Collect like terms.
[tex](4x+8x)-192S[/tex]
---> Simplify.
[tex]12x-192S[/tex]
POSSIBLE #2: (assuming s is not relevant)
Simplifying
4x + -12 = 16 + 8x
Reorder the terms:
-12 + 4x = 16 + 8x
Solving
-12 + 4x = 16 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
-12 + 4x + -8x = 16 + 8x + -8x
Combine like terms: 4x + -8x = -4x
-12 + -4x = 16 + 8x + -8x
Combine like terms: 8x + -8x = 0
-12 + -4x = 16 + 0
-12 + -4x = 16
Add '12' to each side of the equation.
-12 + 12 + -4x = 16 + 12
Combine like terms: -12 + 12 = 0
0 + -4x = 16 + 12
-4x = 16 + 12
Combine like terms: 16 + 12 = 28
-4x = 28
Divide each side by '-4'.
x = -7
Simplifying
x = -7
If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!
15 times a number plus 42 is greater than 7
please help!
Answer: equation would be 15x+42>7
Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3
A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 1.5cm. If silver is priced at $8.00 per, how much will the silver cost to make one solid sphere?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.
Volume
4/3πr³4/3π(1.5)³4/3π(3.375)4.5π14.13cm³Cost per cm³=$8
Total cost
14.13(8)$113.04Answer:
$113.04
Step-by-step explanation:
Formula
[tex]\sf \textsf{Volume of a sphere}=\dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
[tex]\begin{aligned}\textsf{Given}: \quad \sf r & =\sf 1.5\:cm\\ \pi & = \sf 3.14 \end{aligned}[/tex]
[tex]\begin{aligned}\implies \sf \textsf{Volume of silver globe} & =\sf \dfrac43 \cdot 3.14 \cdot (1.5)^3\\\\& =\sf 14.13 \:cm^3\end{aligned}[/tex]
[tex]\textsf{Given}: \quad \sf Cost\:of\:silver=\$ 8.00\:per\:cm^3[/tex]
[tex]\begin{aligned}\implies \textsf{Cost of silver for one globe} & =\textsf{Volume of globe} \times \sf \$ 8.00\\ & =\sf 14.13 \times \sf \$ 8.00\\& =\sf \$ 113.04\end{aligned}[/tex]
- 1 10. If it takes four moving trucks to move 48
boxes, how many trucks are needed to
move 840 boxes?
Answer:
210
Step-by-step explanation:
48/4=12
840/48=17.5
12*17.5=210
210*4=840
A piece of of blue yarn is 5 3/10 yards long. A piece of pink yard is 4 times as long as the blue yard. How much longer is the pink yard than the blue yard.
Help with this question please
Answer:
3y is the GCF
Step-by-step explanation:
the lowest value is -9y, so it can't be a value in the exponents
Enola owns a small business selling ice-cream. She knows
customers paid cash, 76 customers used a debit card, and 10 customers used a credit
card. .
Based on these results, express the probability that the next customer will pay with
something other than a credit card as a decimal to the nearest hundredth.
the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.
To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.
The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:
Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86
Therefore, the probability that the next customer will pay with something other than a credit card is:
P = Total customers who paid cash or used a debit card / Total number of customers
P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)
P = 0.93
So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.
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An airplane flies with a constant speed
of 640 km/h. How long will it take to
travel a distance of 640 kilometers?
The time it would take to travel a distance of 640 kilometers is 1 hour
Speed, distance and timeFrom the question, we are to determine how long it would take the airplane to travel a distance of 640 kilometers.
From the give information,
The airplane flies with a constant speed of 640 km/h.
Speed = 640 km/h
Distance to be covered = 640 km
From the formula,
[tex]Speed = \frac{Distance}{Time}[/tex]
We can write that
[tex]Time= \frac{Distance}{Speed}[/tex]
∴ [tex]Time = \frac{640 \ km}{640 \ km/h}[/tex]
Time = 1 hour
Hence, the time it would take to travel a distance of 640 kilometers is 1 hour
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(100 POINTS AND BRAINLIEST) Please use the answers that are given. Using the following data, calculate the mean absolute deviation
What is the mean absolute deviation for these data? DATA:
1 6 5 8 3 7 1 4 10 9
A: 9
B: 5.4
C: 5
D: 2.6
Answer:
2.42
Step-by-step explanation:
First, we need to find the mean
Add up all the number
1+6+5+8+3+7+1+4+10+9 = 54
Count up all the numbers (found in data)
10
Then, divide
54/10 = 5.4
Then find the absolute difference between each point and the mean and sum them together and divide by the number of points
((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10
24.2 ÷ 10 = 2.42
2.42
Answer:
2.42
Step-by-step explanation:
How can you add eight fours together so the total adds up to 500?
Answer:
you can try Multiplying 8 over 1 and 4 over1
If I gallon = 4 quarts, how many gallons are equal to 108 quarts? Explain Your Answer.
Answer:
27
Step-by-step explanation:
108 ÷ 4 = 27
proportion
if 1/x = 4/108
4x = 108
x = 108/4
x = 27
A bakery sells white loaves and brown loaves.
One week, the ratio of the number of white loaves sold to the number of brown loaves
sold was 4:5
The bakery sold a total of 1584 loaves that week.
Work out how many brown loaves they sold.
Answer:
880 brown loaves
Step-by-step explanation:
Create a ratio of brown loaves to total loaves by adding the the current ratio, 4:5 together.
4 + 5 = 9.
Now create the new ration of brown loaves to total loaves.
5:9
Next make a proportion using brown (numerator) to total (denominator).
Then cross multiply and divide.
[tex]\frac{5}{9} = \frac{b}{1584}[/tex]
[tex]9b = 7920\\\frac{9b}{9} =\frac{7920}{9} \\b=880[/tex]
John went to his local zoo where 50% of it's exhibits featured whales. if the zoo feature 24 exhibits in total, then how many zoo's exhibits feature whales?round your answe to the nearest whole number.
Answer:
12
Step-by-step explanation:
if 50% of it's exhibits feature whales, and they have 24 exhibits, then the answer would be 12. Remember, 50% means one half, and one half of 24 is 12. There is no need to round to a whole number because 24 is not an odd number.
A movie theater is open x hours Monday through Thursday and y hours Friday through Sunday. Write an algebraic expression that represents the number of hours per week the theater is open
Answer: 4×+3y
Step-by-step explanation:
1. There are 4 days from Mon to Thurs. Since x hours are opened on each of the 4 days, we get 4x.
2. There are 3 days from Fri to Sun. Since y hours are opened on each of the 3 days, we get 3y.
In a week, it will just be the sum of 1 and 2, which is 4x+3y
How do i solve this?
Find the value of x.
x=?
please hurry I will mark brainliest if correct!
Answer: 45
Step-by-step explanation:
A right isosceles triangle can only ever have two equal sides, since he sum of the three angles of any triangle is equal to 180 degrees, do the quick math of 180 - 90 = 90, then 90/2 = 45. Both remaining angles of the triangle are 45 degrees, including x, and when you add all angles together 90 + 45 + 45 it equals 180 degrees.