Answer:
10[tex]\pi[/tex] meters.
Step-by-step explanation:
We know that to calculate the circumference of a circle, you must use the formula C=d[tex]\pi[/tex].
Since he swam half-way around the island, we will need to take half of our final answer.
To solve, you can begin substituting in the diameter by:
C=20[tex]\pi[/tex]
Now, take half of this answer.
[tex]\frac{C}{2}[/tex]=10[tex]\pi[/tex].
Nadalia and her 4 friends want to share the cost of a meal equally. They order 2 large pizzas and 5 small drinks. If they leave a tip of $6.40, how much does each person pay?
Small drinks are $6 and large pizzas are $13.
Answer:
$15.60
Step-by-step explanation:
Total cost:
2(13) + 5(6) + 6.40
$62.40
Divide into 4:
62.40/4
$15.60
What are the solutions to this equation?
7x2 − 28 = 0
Answer:
x = 2 or x = -2
Step-by-step explanation:
7x^2 - 28 = 0
7x^2 = 28
x^2 = 28/7 = 4
x = root(4) or x = -root(4)
x = 2 or x = -2
Answer:
x=-2 & x=2
Step-by-step explanation:
PLATO
Max buys 25 books at the rate of $ 252.55 per book. How much did he spend?
Answer:
$6,313.75
Step-by-step explanation:
All we have to do for this problem is multiply 25 by 252.55
25 * 252.55 = 6313.75
So, Max spent $6,313.75 on books.
Max can spend $6,313.75 total to buy the books at the of $ 252.55 per book.
What is mean by Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition is called multiplication.
We have to given that;
Max buys 25 books at the rate of $ 252.55 per book.
Here, cost of one book = $252.55
Now, We get;
Total cost of 25 books is,
Since, Cost of 1 book = $252.55
Hence, We get;
Cost of 25 books = 25 x $252.55
= $6,313.75
Therefore, Max can spend $6,313.75 total to buy the books at the of $ 252.55 per book.
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Marcus lives in New York City. He can walk 5 blocks to the recreation center in 10 minutes.
At this speed, how many blocks can Marcus walk in 30 minutes? Complete the table.
Answer:
he would be able to walk 15 blocks
Step-by-step explanation:
30 is 3 times more than 10, so he can walk 3 times as the amount
Answer:
Step-by-step explanation:
si rrecorre 5 cuadras en 10 minutos en 10 cuadras son 20m 15C son 30
Pythagorean what is x and y
Answer:
x = Square root of 3........y=2
Step-by-step explanation:
So this is a VERY special triangle...you can just search special triangles and that will pop up....so there is really no explanation
Note: Is that from Rsm? and by the way, I'm in middle school XD
what is the scientfic notation of 0.05
Answer:
5×10⁻²
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. a. If the decimal is being moved to the right, the exponent will be negative.b. If the decimal is being moved to the left, the exponent will be positive.
Therefore. The answer is 5×10⁻²Final answer:
The scientific notation of 0.05 is 5 x 10^-2, which represents the number as a product of 5 and 10 raised to the power of -2.
Explanation:
The scientific notation of 0.05 is written by expressing the number as the product of a number between 1 and 10 and a power of ten. For the number 0.05, we move the decimal point two places to the right to get the number between 1 and 10, which is 5. Then, we use a power of ten to show how many places we moved the decimal point. The scientific notation of 0.05 is therefore 5 x 10-2.
Bilet ulgowy do cyrku jesto 10 zł tańszy od biletu normalnego za 3 bilety normalne i 2 ulgowe zapłacono 160 zł ile należało by zapłacić za 2 bilety normalnei 1 bilet ulgowy
Answer:
Kwota zapłacona za 2 bilety normalne i 1 bilet ulgowy wynosi 98 złotych
Step-by-step explanation:
Po pierwsze, zadeklarujmy zmienne. Niech kwota zapłacona za normalne bilety wyniesie n złotych, a kwota zapłacona za bilety zniżkowe będzie d złotych
Od pierwszej części pytania powiedziano nam, że kwota za bilet ulgowy jest o 10 złotych mniejsza niż w przypadku biletu normalnego.
Stąd matematycznie n = d + 10 ......... (i)
Mówi się nam również, że kwota zapłacona za 3 normalne bilety i 2 bilety ze zniżką wynosi 160 złotych
Matematycznie można to zapisać jako;
3n + 2d = 160 .................... (ii)
Teraz, aby uzyskać kwotę zapłaconą za dwa bilety normalne i jeden bilet zniżkowy, musimy najpierw znaleźć kwotę zapłaconą za każdy bilet, korzystając z dwóch powyższych równań. Teraz zamień (i) na (ii)
mamy; 3 (d + 10) + 2d = 160
3d + 30 + 2d = 160
5d + 30 = 160
5d + 160-30
5d = 130
d = 130/5
d = 26 złotych
Kwota zapłacona za normalny bilet wynosi zatem = 26 + 10 = 36 złotych
Znajdując kwotę zapłaconą za 2 bilety normalne i 1 bilet zniżkowy, mamy 2 (36) + 26 = 72 + 26 = 98 złotych
Find an equation of a line with slope 1/5 passing through the point (10,9)
Answer:
(x, y)
(10,9)
We know the linear equation formula is y = mx + b
m is the slope, which we know to be 1/5
Plug in the coordinates to find b.
x = 10 y = 9
9 = 1/5(10) + b
9 = 2 + b
-2 -2
---------------
7 = b
Final equation: y = 1/5x + 7
Step-by-step explanation:
The equation of a line with slope 1/5 passing through the point (10,9) is 'y = 1/5x + 7'. This was found using the point-slope form of a line equation.
Explanation:To find an equation of a line with a given slope passing through a specific point, the point-slope form of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point, can be used.
In this case, the slope m = 1/5 and the point given is (10,9).
Therefore, the equation of the line can be found by substituting these values into the point-slope form:
y - 9 = 1/5(x - 10)
By distributing the slope on the right hand side, we get y - 9 = 1/5x - 2. Adding 9 to both sides gives the final equation:
y = 1/5x + 7
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A medication has a half-life of 4 hours after it enters the bloodstream. A nurse administers a dose of 225 milligrams to a patient at noon. Write an expression to represent the amount of medication, in milligrams, in the patient's body at: 1 p.m. on the same day 7 p.m. on the same day
Answer:
The half life of a material is the time that a given quantity A of the material, decays into its half.
We know that the half-life is 4 hours, then we have the equation:
Q(t) = A*r^t
Where A is the initial quantity, and t is the number of hours.
and we have that r^4 = 1/2 (so when t = 4, we will have half of A)
then r = (1/2)^(1/4) = 0.84
Then our relation is
Q(t) = A*0.84^t
We have that A = 225mg,
at 1:00 pm. we have one hour after noon, so here we need to use t = 1.
Q(1) = 225mg*0.84^1 = 189.2mg
At 7:00 pm, we have 7 hours since noon, so here we need to use t = 7
Q(7) = 225mg*0.84^7 = 66.4mg
The equation is
[tex]Q(t) = A\times r^t[/tex]
here A is the initial quantity, and t is the number of hours.
Now
we have that r^4 = 1/2 (so when t = 4, we will have half of A)
So,
[tex]r = (1/2)^{(1/4)} = 0.84[/tex]
So, our relation is
[tex]Q(t) = A\times 0.84^t[/tex]
We have that A = 225mg,
Now
[tex]Q(1) = 225mg\times 0.84^1[/tex]= 189.2mg
And,
At 7:00 pm, we have 7 hours since noon, so here we need to use t = 7
[tex]Q(7) = 225mg\times 0.84^{7}[/tex] = 66.4mg
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Help me with this and you will be awarded handsomely.
Answer:
1. 51
2.25
3.104
4.31
5.41
Step-by-step explanation:
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the smaller number. Which equations represent the situation? 2 x minus y = negative 6 and 3 x minus y = negative 5 2 x minus y = negative 3 and 3 x minus y = negative 5 2 x minus y = negative 6 and x minus 3 y = 5 2 x minus y = negative 3 and x minus 3 y = 5
Answer:
2 x minus y = negative 6 and 3 x minus y = negative 5
Step-by-step explanation:
y = 2(x+3) = 2x + 6 or 2x - y = -6
y = 5 + 3x or 3x - y = -5
The equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5
From the given information:
Let the smaller number be x; then the word problem can be expressed as:
y = 2(x + 3) ---- (1)y = 5 + 3x ---- (2)From (1), if we open the brackets, we have:
y = 2x + 6-2x + y = +6multiplying through by (-), we have:
2x - y = -6Also, from equation (2)
y = 5 + 3xBy rearrangement
y - 3x = 5-3x + y = 5Multiplying through by (-), we have:
3x - y = -5Therefore, we can conclude that the equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5
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Teacher's salaries in Georgia are normally distributed with an average salary of $52,000 with a standard deviation of $12,000. What percentage of teachers earn an a salary between $40,000 and $76,000?
Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%
what’s equivalent for x to the power of -3 that uses positive exponents?
A. x to the power of -3
B. x to the square root of 3
C. 1 over x to the power of 3
D. 1 over x to the power of 1/3
Answer:C
Step-by-step explanation:
When using negative exponents, I’m you flip the number to the opposite side numerator to denominator in this case. So you would have 1 over x to the third power.(1/x^3)
What is the answer to this math problem?
Answer: 25%
Step-by-step explanation:
1/4= 0.25
out of the numbers only 9 is not less than 9 so it is P.
1 out of all the four numbers is P.
File with question is attached. Whoever answers gets a Brainly Crown!
Answer:
B. r ≤ -8
Step-by-step explanation:
First solve the inequality.
-2r + 3 ≥ 19
Subtract 3 from both sides.
-2r ≥ 16
Divide both sides by -2. But wait. Don't forget to flip the greater than sign when you divide an inequality by a negative number!!
r ≤ 16/-2
See how we flipped the greater than to a less than because the inequality was divided by a negative number on both sides?
r ≤ -8
So the answer is B.
Write the explicit formula for the geometric sequence.
a1 = −5, a2 = 15, a3 = −45
Answer:
[tex]a_{n}=-5(-3)^{n-1}[/tex]
Step-by-step explanation:
A geometric sequence or progession is defined as a sequence where each term can be found by multiplying a factor with the first term.
In this case, the first term is -5, the second term is 15 and the third term is -45.
[tex]a_{1}=-5\\a_{2}=15\\a_{3}=-45[/tex]
To find the factor, we divide the second term by the first, and the third term by the second.
[tex]\frac{15}{-5}=-3[/tex]
[tex]\frac{-45}{15}=-3[/tex]
As you can notice, the factor is -3, so [tex]r=-3[/tex].
Now, the explicit formula of this sequence can be found with
[tex]a_{n}=a_{1}r^{n-1}[/tex]
Where [tex]n[/tex] refers to the n-th term.
Replacing values, we have
[tex]a_{n}=-5(-3)^{n-1}[/tex]
Therefore, the explicit formula of the geometric sequence is
[tex]a_{n}=-5(-3)^{n-1}[/tex]
Which can be used to find any other term in the sequence.
PLEASE HELP!!!
You install two antivirus programs in your computer. One of the programs has a reliability of 65%, while the other one has a reliability of 51%. What is the probability that neither program will be effective when a virus attacks your computer?
Answer:
Here's a screenshot from Plato
Explanation:
Plato
What is the median in the box plot?
A box-and-whisker plot. The number line goes from 50 to 100. The whiskers range from 68 to 94, and the box ranges from 70 to 80. A line divides the box at 76.
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
The equation of a line with a slope of 4 that passes through the point (-2, 5) in point-slope form is y - 5 = 4(x + 2).
To find the equation of a line in point-slope form given a slope and a point through which the line passes, we use the formula:
y - y₁= m(x - x₁)
where m is the slope of the line, and (x₁ , y₁) is the point on the line. For the given slope of 4 and point (-2, 5), we substitute into the formula:
y - 5 = 4(x + 2)
This is the correct answer for the equation of the line in point-slope form.
what is the surface area of the figure?
Answer: The surface area is 14
Step-by-step explanation:
The equation should be this
2(1x1) + 2(1x3) + 2(1x3)
then you should have this next
2 + 6 + 6 = 14
:]
Compute the answer to 105 divided by 8 using real-number division.
13
13.125
13, remainder 1
13 813
Answer:
Exact Form:
105 /8
Decimal Form:
13.125
Mixed Number Form:
13 1/ 8
this is if you divide 105 and 8
105 divided by 8 using real-number division is 13 with a remainder of 1.
How to solve for the divisionDividend: 105
Divisor: 8
To perform the division, we divide 105 by 8:
8 | 105
8 (1 time)
25
24 (3 times)
1
Since we have a remainder of 1, the quotient is 13 and the remainder is 1.
Therefore, 105 divided by 8 using real-number division is 13 with a remainder of 1.
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An angle measures 50° more than the measure of its supplementary angle. What is the measure of each angle?
An angle measures 50° more than the measure of its supplementary angle. However, there are no angles that satisfy this condition.
Explanation:An angle measures 50° more than the measure of its supplementary angle.
To solve for the measure of each angle, we can set up an equation:
Let x be the measure of the angle, and let y be its supplementary angle.
Since the sum of the measures of two supplementary angles is 180°, we can write the equation:
x = y + 50°
Substituting y + 50° for x in the equation, we get:
y + 50° = y
Subtracting y from both sides, we get:
50° = 0
Since there is no solution to this equation, it means that there are no angles that satisfy the given condition.
The smaller angle measures 65° while the larger angle measures 115°.
Let's denote the measure of the smaller angle as x degrees. Since the angles are supplementary, their sum must be 180 degrees. Thus, the measure of the larger angle will be (x + 50) degrees.
Using this information, we can form the following equation:
x + (x + 50) = 180
Simplify the equation:
2x + 50 = 180
Subtract 50 from both sides:
2x = 130
Divide both sides by 2:
x = 65
Therefore, the measures of the angles are:
Smaller angle: 65°Larger angle: 115° (because 65° + 50° = 115°)Starting from the same
location, one bird flew 12
miles west and another
bird flew 4 miles north.
Find the direct distance
between the birds.
Answer:
The direct distance between the birds is 12.64 miles.
Step-by-step explanation:
We have, one bird flew 12 miles west and another bird flew 4 miles north. It is required to find the direct distance between the birds. It means we need to find the resultant of two displacement. It can be given by :
[tex]d=\sqrt{12^2+4^2} \\\\d=12.64\ \text{miles}[/tex]
So, the direct distance between the birds is 12.64 miles.
Which equation can be used to solve for m, the greater
integer?
In triangle ABC, a=10, b=8, and sinB=(3/4). Find sinA
Answer:
15/16
Step-by-step explanation:
To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,
a/Sin A = b/Sin B = c/Sin C
Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.
Hence,
8/(3/4) = 10/Sin A
Sin A = 3 * 10 / (8 * 4)
= 30/32
= 15/16
Jose bought 6 chicken wings for $2. What was the cost of the wings in wings per dollar?
Answer:
0.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
or 1/3
Step-by-step explanation:
Which number is the additive inverse of –5? – One-fifth 0 Negative one-fifth 5
Answer:
The additive inverse is 5
Step-by-step explanation:
What to we add to -5 to get it to be 0
-5 +x = 0
We add 5
-5+5 =0
Answer:
It is five
Step-by-step explanation:
Find the mode of this data set
18.33.25,36,35,31, 19, 30,23,28.33
Answer:
33
Step-by-step explanation:
So I just put them in order....18,19,23,25,28,30,31,33,33,35,36
and you can see that 33 pops up twice when the others only pop up once..so the answer is 33
PLEASE HELP NEED THIS NOW AAAAA
-282 - (+1,017)=?
Answer:
-1299
Step-by-step explanation:
-282-1017
Answer:
-1299
Step-by-step explanation:
-282 - 1017 = -1299
(-282) + (-1017)
Hope this helps ^-^
Which of these are expressions?
298
22 x 3
7x = 63
a + b + c
0
Step-by-step explanation:
An expression is something like 7x=63