Answer:
The radius has an increase of 41.4%
Step-by-step explanation:
We have that the surface area formula is equal to:
a = 4 * pi * r ^ 2
in this case if you assume an area of 100 and we calculate the radius it would be:
100 = 4 * pi * r ^ 2
we solve for r:
r ^ 2 = 100/4 * pi
r ^ 2 = 100 / (4 * 3.14)
r ^ 2 = 7.9617
r = 2,822
now if we double the area, that is 200:
r ^ 2 = 200 / (4 * 3.14)
r ^ 2 = 15.9236
r = 3,990
So the change of the radius would be:
3.99 / 2,822 = 1,414
That is to say that the radius has an increase of 41.4%
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
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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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:
The tree diagram below shows all of the possible outcomes for flipping three coins.
1st coin
2nd coin
3rd coin
Outcomes
1 1 1
1
III I
1
1
LIII III
IIIIIIII
1
1 1
1 1
H---- (HHH)
- (HHT)
- (H,TH)
- (H,1,T)
- TH,H)
(T.HT)
- (TTH)
-- (TTT)
What is the probability of one of the coins landing on tails and two of them landing on heads?
Answer:
3/8
Step-by-step explanation:
Answer:3/8
Step-by-step explanation:
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.
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 is the value of x in the equation -6x = 5x+ 22?
-22
0 -2
02
O 22
Answer:
x = -2
Step-by-step explanation:
Solve -6x = 5x + 22
add 6x to both sides
0 = 6x + 5x + 22
0 = 11x + 22
11x = -22
x = -22/11
x = -2
A bank offers a savings account which pays 3% interest per year. The amount of money in the account after t years is represented by the expression P(1 + I/n)^nt, where P represents the initial amount of money invested, n represents the number of times per year the interest is compounded, i represents the interest rate, and t represents the number of years the money has been invested. Which statement describes what happens with the savings account when the interest is compounded monthly instead of yearly? Select two that apply.
Compounding interest monthly on a bank's savings account results in the annual interest being divided into 12 parts and applied each month, leading to a greater amount of compound interest as interest is earned on previously accumulated interest more frequently.
When a bank's savings account pays a certain percentage of interest per year and compounds monthly instead of yearly, two things happen:
The interest gets divided into 12 parts, since there are 12 months in a year. For a 3% annual rate, the monthly rate becomes 0.25% (3% divided by 12).
The smaller monthly interest rate is applied more frequently (12 times a year), which results in compound interest. This means interest is earned not only on the initial deposit (the principal) but also on the interest accumulated from previous months. The end result is that your balance grows at a faster rate compared to yearly compounding because you're earning interest on top of interest more frequently.
The given expression for the amount after t years is P(1 + I/n)¹nt. If n increases, the value inside the parentheses becomes closer to 1, but since it's raised to the power of nt, the overall effect is that the compound interest increases the total amount more quickly than if it were compounded annually (yearly compounding).
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
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
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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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.
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.
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
:]
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’s the missing angle?
Answer:
113°
Step-by-step explanation:
Alternate exterior angle rule
When the lines are parallel, the alternate exterior (outside) angles are equal in measure.
Kayla has 40 more stamps than Gabriel. Together, they have 138. How many stamps does Gabriel have?
Answer:
98
Step-by-step explanation:
Answer:
Gabriel has 98 stamps
Step-by-step explanation:
138-40=98
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.
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:
Which equation can be used to solve for m, the greater
integer?
I NEED HELP
mean, median, and mode are all measures of central tendency. When does each measure most accurately represent a set of data?
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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An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 8-inch piece of sausage if each piece is to be two-thirds of an inch ?
Answer:
12 pieces
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Sorry Brainly says my answer is too short
Answer:
12
Step-by-step explanation:
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.
If 3 pineapples equal one strawberry, and 1 strawberry times 1 equals 1 grape and then 2 grapes equal 24 and 1 watermelon plus 1 pineapple equals 6 what does 1 grape plus one strawberry plus one watermelon equal?
Answer:
26
Step-by-step explanation:
Let pineapple be P.
Let Strawberry be S.
Let Grape be G.
Let Watermelon be W.
3 pineapples equal 1 strawberry:
3P = S ____________ (1)
1 strawberry times 1 equals 1 grape:
S * 1 = G
S = G_____________(2)
2 grapes equal 24:
2G = 24
=> G = 24 / 2 = 12
=> From (2), S = 12
1 watermelon plus 1 pineapple equals 6:
W + P = 6_________________ (3)
From (1):
P = S / 3 = 12 / 3 = 4
Putting this in (3):
W + 4 = 6
=> W = 6 - 4 = 2
1 grape plus 1 strawberry plus 1 watermelon will be:
G + S + W
= 12 + 12 + 2
= 26
The answer is 26.
Answer:
26
Step-by-step explanation:
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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A rectangular park is 50 meters wide and 90 meters long. Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Answer:
[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]
Step-by-step explanation:
The formulas for the area and perimeter of a rectangle are, respectively:
[tex]A = w\cdot l[/tex]
[tex]p = 2\cdot (w + l)[/tex]
The perimeter is equal to:
[tex]p = 2\cdot (50\,m + 90\,m)[/tex]
[tex]p = 280\,m[/tex]
Area is likewise equal to:
[tex]A = (50\,m)\cdot (90\,m)[/tex]
[tex]A = 4500\,m^{2}[/tex]
Then, equations are now described:
[tex]A = w \cdot l[/tex]
[tex]140\,m = w + l[/tex]
Likewise, the equation of area is simplified afterwards:
[tex]A = (140\,m - l)\cdot l[/tex]
[tex]A = 140\cdot l - l^{2}[/tex]
The area is reduced inasmuch as length is increased. Let assume that length is 100 meters. The length and width are described herein:
[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]
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
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.
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