Answer:
V(s) = 332,9 m³
Step-by-step explanation:
The volume of a sphere is:
V(s) = (4/3)*π*r³
if we know r = 4,3 m then
V(s) = (4/3)*3,14*(4,3)³
V(s) = 332,8693 m³
Rounding the answer to the nearest tenth
V(s) = 332,9 m³
The top of a ladder rest at a height of 15 feet against the side of a house. If the base of a ladder is 6 ft from the house what is the length of the ladder? round to the nearest foot.
Answer:
16 feet
Step-by-step explanation:
We use Pythagorean Theorem to find the height.
leg of triangle= height of ladder = 15 feet
The hypotenuse of the formed triangle = length of ladder = L
base = 6 feet
What is length of ladder?
L^2 = 15^2 + 6^2 = 225 + 36 = 261
L = root(261) = 16.155 feet
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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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
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Answer:
b =7
Step-by-step explanation:
8b+15=71
Subtract 15 from each side
8b+15-15 =71-15
8b = 56
Divide each side by 8
8b/8 = 56/8
b = 7
Answer:
I believe b equals 7.
Step-by-step explanation:
8b +15= 71
-15. -15
8b = 56
56/8
7
b=7
8 is 2/3 of what number?
Answer:
12
Step-by-step explanation:
the number = x
2/3 of x =8
2x/3 = 8
2x= 24
x=12
Answer:
12
Step-by-step explanation:
8 is 1/3 of 24
so it's 2/3 of 12
3.
The two right triangular prisms are congruent. What is the area of their bases?
15 in.
V = 90 in.
The two cylinders are congruent What is the height of cylinder B?
Step-by-step explanation:
3. The prisms are congruent, so they have the same base, height, and volume.
Volume of a prism is:
V = Ah
Plugging in values and solving for A:
90 in³ = A (15 in)
A = 6 in²
4. The cylinders are congruent, so they have the same radius, height, and volume.
Volume of a cylinder is:
V = πr²h
Plugging in values and solving for h:
176π cm³ = π (4 cm)² h
h = 11 cm
Each octagon has eight sides. How many sides (S) does z octagons have?
Answer:
8z
Step-by-step explanation:
Each octagon has 8 sides
Multiply the number of octagons by the number number of sides to get the total number of sides
8*z
We have a total number of 8z sides
Answer:
z octogons have 8z sides
Step-by-step explanation:
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.
I NEED HELP
mean, median, and mode are all measures of central tendency. When does each measure most accurately represent a set of data?
Chester used the regression equation of the weight loss plan to make a prediction within the given data range. Complete his work to calculate the number of weekly hours of aerobic activity needed for a monthly weight loss of 3 pounds. Round to the nearest hundredth.
1. Regression equation: y = 1.178 x + 0.71. 2. Substitute 3 for y: 3 = 1.178 x + 0.71. 3. Subtract 0.71 from both sides: 2.29 = 1.178 x. 4. Divided both sides by 1.178: StartFraction 2.29 Over 1.178 EndFraction = StartFraction 1.178 Over 1.178 EndFraction x.
About
hours of weekly aerobic activity will result in 3 pounds of monthly weight loss.
Answer: 1.94
Step-by-step explanation:
Answer:
1.94
Step-by-step explanation:
trust me
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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Write the coordinates of one point that lies in the second quadrant of the coordinate plane.
Answer:
Examples are: (-1,1), (-2,1), and (-3,1).
Step-by-step explanation:
The second quadrant on a coordinate plane is located in the top left.
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).
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
Recipe for a cake needs 1 1/2 cups of milk. You are making 1/2 of the recipe. How much milk do you need
Answer:
3/4
Step-by-step explanation:
Answer:
3/4s
Step-by-step explanation:
1 1/2 is equal to 6/4 or 1 and 2/4 so divided by 2 equals 3/4
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
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
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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please help asap! its needed badly
Answer:
can u retake the photo
Step-by-step explanation:
Solve.
(2/3) (1/4) =
You multiply the numerators (top numbers) and separately multiply the (bottom numbers) denominators.
numerator (top number): 2 * 1 = 2
denominator (bottom number): 3 * 4 = 12
Now, we have 2/12 which can be simplified to 1/6.
1/6PLEASE 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
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
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:
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]
How many seconds are in 3 minutes
If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?
Answer:
11 gallons of gas is needed to travel 231 miles.
Step-by-step explanation:
We can set up a proportion for this problem.
For every 62 miles, you use 3 gallons of gas.
[tex]\frac{62}{3}*\frac{231}{?}[/tex]
Now, let's cross multiply.
[tex]\frac{693}{62}[/tex] ≈ [tex]11[/tex]
So, you will need about 11 gallons of gas to travel 231 miles.
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:
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:
Maude evaluated the expression (32)–3. 1. 32 • (−3) 2. 36 3. 729 Analyze Maude’s work. Is she correct? If not, what was her mistake? Yes, she is correct. No, she should have added the exponents instead of multiplying. No, her exponent should be a negative value No, when evaluating 36, she should have found the product of 3 and 6.
Answer
3 one
Step-by-step explanation:
Answer:
Option 3. No, her exponent should be a negative value
Step-by-step explanation:
1. Yes, she is correct ❌
2. No, she should have added that exponents instead of multiplying ❌
3. No, her exponent should be a negative value✅
4. No, when evaluating 36, she should have found the product of 6 and 3❌
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.