Answer:
[tex] 770 = 5\pi r^2[/tex]
If we divide both sides by [tex] 5\pi[/tex] we got:
[tex] \frac{770}{5\pi} = r^2 [/tex]
And taking square root we got:
[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]
And rounded to the nearest whole number we got 7 ft
Step-by-step explanation:
For this case we know that the hieght of a right cylinder is 5 ft and the volume is given by:
[tex] V = 5 \pi r^2 [/tex]
And we know that the volume [tex] V = 770 ft^3[/tex] and we want to solve for r so we can set up the following equation:
[tex] 770 = 5\pi r^2[/tex]
If we divide both sides by [tex] 5\pi[/tex] we got:
[tex] \frac{770}{5\pi} = r^2 [/tex]
And taking square root we got:
[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]
And rounded to the nearest whole number we got 7 ft
You have money in an account at 6% interest, compounded monthly. To the nearest year, how long
will it take for your money to double.
Answer:
Step-by-step explanation:
Let amount now be x , meaning principal is x
and the amount later A is 2x
A = P(1+r/n)^nt
n = 12
2x = x (1 + 0.06/12)^12t
divide through by x
2 = (1+ 0.005)^12t
2 = (1.005)^12t
Take log of both sides
log 2 = 12t log 1.005
12t = log2/log 1.005
12t = 138.975721610697
t = 138.975721610697/12
t = 11.58
t = 12 years
Suppose that 15 years ago, a benefactor set up an account for your education. This benefactor made a single deposit of $20,000 that has been earning 6% interest compounded monthly. Since the deposit 15 years ago, no money has been added to or taken from the account. Will this account be sufficient to cover tuition for all four years that you will be in school? (Answer this question using the school that you chose for parts C and D and the formula given below.) Make sure that the "time in years" that you use is 15 years + the number of years you will be at school.
Answer:
No it wont
Step-by-step explanation:
PLSSS HELP!! WILL GIVE BRAINLIEST!
Answer:
Although it's blurry, I believe y is equal to 3.
Step-by-step explanation:
You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.
Answer:
y = [tex]2 \frac{11}{12}[/tex] gallonsStep-by-step explanation:
The water run at a constant speed with the slope of 5/12.
Slope-intercept form would be y = 5/12x.
So if we were to plug it in the equation,
y = 5/12 (7) = 35/12 or 2 11/12.
Hope this helps ;D
please help me simplify 4^8/4^5
Answer:
64
Step-by-step explanation:
64
Hope it helped!
Answer:
64
Step-by-step explanation:
4^8/4^5
we know that
4^8 = 65536
4^5 = 1024
Now,
65536/1024 = 64
(-3 x 10 to the 4th power) x (2 x 10 to the power of -3) RESPOND QUICK PLEASE
Answer:
-60
Step-by-step explanation:
(-3 x [tex]10^{4}[/tex]) x (2 x [tex]10^{-3}[/tex])
(-30,000) x (.002) = -60
Please help, and thanks in advance!
Answer:
c i believe sorry if its wrong
Step-by-step explanation:
Answer:
3. A.
4. 136
Step-by-step explanation:
3. Find the surface area:
2 * 1 = 2
3 * 2.2 = 6.6
2 * 3 = 6
3 * 1 = 3
2 + 6.6 + 6 + 3 = 17.6
4. Find the surface area:
5 * 7 * 2 = 70
6 * 4 = 24
7 * 6 = 42
70 + 24 + 42 = 136
At Your Town Bike Shop, handle bar streamers are sold in packs of two and beads for spokes are sold in sets of 10. Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. If Nana wants to buy 3 packs of streamers and 6 sets of beads, how much will her bill be before tax?
Answer: her bill be before tax is $49.2
Step-by-step explanation:
Let x represent the cost of 1 pack of handle bar streamers.
Let y represent the cost of 1 set of beads for spokes.
Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. It means that
2x + 3y = 27.85- - - - - - - - - 1
Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. It means that
x + 4y = 26.3
x = 26.3 - 4y - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
2(26.3 - 4y) + 3y = 27.85
52.6 - 8y + 3y = 27.85
- 8y + 3y = 27.85 - 52.6
- 5y = - 24.75
y = - 24.75/-5
y = 4.95
x = 26.3 - 4y = 26.3 - 4(4.95)
x = 26.3 - 19.8
x = 6.5
If Nana wants to buy 3 packs of streamers and 6 sets of beads, her bill before tax would be
(3 × 6.5) + (6 × 4.95) = 19.5 + 29.7
= $49.2
find the sum of the first 15 terms of the goemetric series 3+9+27
Answer:
Step-by-step explanation:
hello : here is an solution
select two values of x that are roots of this equation (picture included)
x^2+2x-5=0
Answer:
B and D
Step-by-step explanation:
i took this test
The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The quadratic equation is given below.
x² + 2x - 5 = 0
The solution of the quadratic equation will be
x² + 2x - 5 = 0
Add 1 on both sides, then the equation will be
x² + 2x + 1 - 5 = 1
x² + 2x + 1 = 1 + 5
(x + 1)² = 6
Taking square root on both sides, then the equation will be
x + 1 = ±√6
x = - 1 ±√6
Then the roots of the equation will be - 1 - √6 and - 1 + √6.
Then the correct options are B and D.
More about the solution of the equation link is given below.
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Donna took twice as long to drive 720 miles and Maple took to drive 200 miles. Find the rates and ties of both if Donna's speed exceeded that of Maple by 40 miles per hour
Answer:
Donna traveled for 8 hours at 90 mph
Maple traveled for 4 hours at 50 mph
Step-by-step explanation:
The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written
[tex]t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\[/tex]
Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.
Can someone please help with these 4 questions?
Answer:
Q4. 2144 Q5. -16 Q6. Downwards Q7. 0 seconds
Step-by-step explanation:
Q4. h(t) = -16t² + 2400 Substitute 4 for t
h(4) = -16(4)² + 2400 Simplify the exponent
h(4) = -16(16) + 2400 Multiply
h(4) = -256 + 2400 Add
h(4) = 2144
Q5. I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.
Q6. At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.
Q7. 0 seconds because the rocket goes 0 feet in 0 seconds.
If these answers are correct, please make me Brainliest!
At a restaurant, 40% of customers order tacos and 60% order fajitas. Of the customers that order tacos, 50% order a chicken tacos. Of the customers that order fajitas, 30% order chicken fajitas. What is the percentage of customers that order a chicken dinner (either chicken tacos or chicken fajitas)?
Answer:
38% order a chicken dinner
Step-by-step explanation:
40% order tacos. 50% of 40% order chicken tacos. 50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.
60% order fajitas. 30% of 60% order chicken fajitas. 30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.
20% + 18% = 38% order a chicken dinner.
What does Keaton spend the most money on?
Keaton's Monthly Spending
What does Keaton spend the least money on?
Food
Keaton spends about as much money on rent as he
does on
Rent
Clothes
Hygiene Products
Entertainment
Answer:FOOD, HYGIENE, ENTERTAINMENT
Step-by-step explanation:
The answer is:
foodHygiene ProductsEntertainmentWhat is Data?Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.
According to the given information
a)Keaton spend the most money on Food.
b) Keaton spend the least money on Hygiene Products.
c) Keaton spends about as much money on rent as he does on Entertainment.
Learn more about data here:
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Anwar selects a playing card at random from the following 666 cards:
\{{left brace 999 of hearts, 555 of spades, 666 of hearts, 222 of spades, 444 of hearts, 777 of hearts\}}right brace
Let AAA be the event that Anwar selects an even-numbered card and BBB be the event that she chooses a heart.
Which of the following statements are true?
Answer:
We have 6 cards.
9 of hearts
5 of spades
6 of hearts
2 of spades
4 of hearts
7 of hearts.
A is the event where Anwar selects an even numbered card.
B is the event where she choses a heart.
we have 3 even cards (and two of them are hearts)
we have 4 hearts (2 of them are even)
The probability of event A is Pa = 3/6 = 1/2
the probability of event B is = Pb = 4/6 = 2/3
The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:
Paandb = 2/6 = 1/3
the probabilty of A if we know that B is true:
P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)
the probability of B if we know that A is true:
P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)
Answer:
A,B,C,E
Step-by-step explanation:
Khan.
TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!
Need help pls have no idea how to this
Answer:
The local minimum point of f(x) is at the point (-2,-2)
Step-by-step explanation:
the minimum point is located on the very bottom of the parabola!
so its cut off but its (-2,-2)
sorry I didnt see the 6,-2
so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2
pls mark me brainliest
A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the edge of the insulation. Use pi=3.14
Answer:
the volume of the pipe is 649.98 cubic inches.
Step-by-step explanation:
We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.
We will use volume of hollow cylinder formula to solve our given problem.
[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]
where,
R = Radius of external cylinder,
r = Radius of internal cylinder.
h = Height of cylinder.
substituting our given values in above formula, we will get:
[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]
Therefore, the volume of the pipe is 649.98 cubic inches.
PLSSS HELP WLL GIVE BRAINLIEST!
Answer:
The order from top is
8 - 3
1 - 35
3 - 50
7 - 3/5
Step-by-step explanation:
Designer Dolls found that its number of Dress-Up Dolls sold, N, varies directly with their advertising budget, A, and inversely proportional with the price of each doll, P. When $54,000 was spent on advertising and the price of the doll is $90, then 9,600 units are sold. Determine the number of dolls sold if the amount of advertising budget is increased to $144,000.
Answer:
25,600
Step-by-step explanation:
You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:
$54,000 → 9,600
$144,000 → x
[tex]x=\frac{144,000*9,600}{54,000}[/tex]
x=25,600
According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.
The number of dolls sold should be 25,600.
Given that,
When $54,000 was spent on advertising and the price of the doll is $90, then 9,600 units are sold.Based on the above information, the calculation is as follows:
[tex]= \$144,000 \times 9,600 \div \$54,000[/tex]
= 25,600
Therefore we can conclude that The number of dolls sold should be 25,600.
Learn more: brainly.com/question/6201432
Seventeen more than the product of a number and -3 is less than -29 plz answer
Answer:
-3x + 17 < -29
Step-by-step explanation:
Which steps would be used to solve this equation?
StartFraction t Over 3 EndFraction = 2.78
Check all that apply.
Multiply by 3 on both sides of the equation.
Divide by 3 on both sides of the equation.
2.78 ÷ 3 = 0.93, so t = 0.93.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Substitute 0.93 for t to check the solution.
Answer:
Multiply by 3 on both sides of the equation.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Step-by-step explanation:
To solve the equation [tex]\frac{t}{3}[/tex]= 2.78
we will use the steps below to solve this equation;
First, multiply by 3 on both-side of the equation. That is;
[tex]\frac{t}{3}[/tex] × 3= 2.78 × 3
On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34
t = 8.34
we can further substitute 8.34 for t to check the correctness of the solution
that is;
[tex]\frac{8.34}{3}[/tex] = 2.78
Answer:
1,4,5
is the answer your welcomeb) Write 25 x 10° in standard form.
Answer:
2.5x10^1
Step-by-step explanation:
When the first number goes down, add one to the 10's power
Answer:
2.5x10∧1
Step-by-step explanation:
A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingles covers 32 ft.² how many bundles should you buy to cover the roof? What is the surface area of the roof ?
Answer:
Step-by-step explanation:
d = diameter = 12ft
r = d/2 = 12/2 = 6ft
Slant height = 13ft
Surface area of cone = π r 2 + π L r
Where L is the slant height of the cone π = 22/7
SA = 22/7×6×6+22/7×13×6
SA = 113.14+245.142
SA = 358.28ft^2
If one bundle of shingle covers 32 ft.²
Hence,358.28ft^2 = 358.28ft^2/32 ft.²
= 11.196
= 11.2 bundles
A day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?
P(Monday)
P(starts with 5)
P(Monday or starts with )
Answer:
Well, P(Monday)= 1/7 = 14.3%
P(starts with S)= 2/7 = 28.6%
P(Monday or starts with S)= 3/7 = 42.9%
Step-by-step explanation:
Have a good day!!!
The probability of choosing Monday is,
P = 1 / 7
And, the probability of choosing starts with S is,
P = 2/7
And, the probability of choosing Monday or starts with S is,
P = 3/7
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A day of the week is randomly chosen.
Since, Number of days in a week = 7
Hence, the probability of choosing Monday is,
P = 1 / 7
And, the probability of choosing starts with S is,
P = 2/7
So, the probability of choosing Monday or starts with S is,
P = 2/7 + 1/7
P = 3/7
Learn more about the probability visit:
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0.3 repeating as a fraction
Answer:
3/10 or three-tenths
Step-by-step explanation:
Hope this helps=D
Answer:
O.3 = 1/3
Step-by-step explanation:
divide 1÷3
you will get 0.3 to infinity
ZA=
Round your answer to the nearest hundredth.
A
3
С
?
8
B
To find the value of angle A, we'll need to use a trigonometric function. In this case, we are given the adjacent side and the hypotenuse. So, we should use cosine. And because we are finding an angle, we will need to use the inverse cosine.
cos(a) = 3/8
a = cos^-1(3/8)
a = 67.98 degrees
Hope this helps! :)
The property taxes on a home varies directly with the value of the home. Jack currently lives in a home worth $172,000 and pays $13,760 in taxes.
write an equation that represents the points (2,6)(0,3) but a linear kind of an equation in any form
Answer:
y=[tex]\frac{3}{2} x+3[/tex]
Step-by-step explanation:
Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+ 72t+ 100 (where t is time in seconds and h is height in feet) How long will it take the coin to reach the stream?
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
[tex]-16t^{2} + 72t + 100 = 0[/tex]
Multiplying by (-1)
[tex]16t^{2} - 72t - 100 = 0[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]16t^{2} - 72t - 100 = 0[/tex]
So
[tex]a = 16, b = -72, c = -100[/tex]
[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]
[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]
[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
Find the surface area and volume of the triangular prism. Remember to show your work on scratch paper.
10 cm
6 cm
5 cm
8 cm
Answer:
27cm
Step-by-step explanation:
so you are dumb for not nowing it
[8 + (24 x 3)] divided by 7
Use PEMDAS &’ show work .
Answer:
11.43
Step-by-step explanation:
[8 + (24 x 3)] divided by 7
[8 + (72)] divided by 7
80/7
11.42857142857143
11.43 (I rounded it)
Answer:
11.42
My explanation:
P( )
E *
M x
D /
A +
S -
the first step is to multiply 24x3 because parenthesses go first
the second step is that get the 72 form multiplying and add 8 to it becasue its inside the lines
third step is to divide by 7 and then you get 11.42
Feel free to ask for more help :)
