Answer:
p = 34/2
p= 17
thank you.
Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 30 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a constant rate. After 4.5 seconds, he was 7.5 meters below the edge of the volcano. How fast did Shota climb? In total, how long did it take Shota to reach the edge of the volcano?
Answer:
Shota's speed = 5 m/s
In total, it take 6 seconds to reach the edge of the volcano.
Step-by-step explanation:
Given;
Total height below the edge of the volcano = 30 m
(Note that he climbed at constant rate)
After 4.5 seconds, he was 7.5 meters below the edge of the volcano.
Time = 4.5 s
Distance covered = 30 - 7.5 = 22.5 m
His speed = distance covered/time
Substituting the values;
Speed = 22.5/4.5
Speed = 5 m/s
Time needed to reach the edge;
Time = distance/speed
Speed = 5m/s
Distance = 30 m
Substituting;
Time = 30/5 = 6 seconds
The volume of a right rectangular prism can be found by finding the product 3(6)(12). Which expression could also be used to
determine the volume of this prism?
VX
36(6)
2(3 + 12 + 6)
4(3)(12)
12+6+3
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Submit
Save and Exit
Mark this and return
Activity
Answer:
a
Step-by-step explanation:
The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP....NEED TO SUBMIT IT NOW......
Answer:
14/27
Step-by-step explanation:
Let x be the unknown number
-2/3 * x = -28/81
Multiply each side by -3/2
-3/2*-2/3 * x = -28/81 * -3/2
x = 28/2 * 3/81
x =14*1/27
x = 14/27
Answer:
14/27
Step-by-step explanation:
Let x be the other number
x × -2/3 = -28/81
x = -28/81 × -3/2
x = 14/27
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.
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x² + 6x +8=0
In factoring algorithm
Answer:
(x+2)(x+4)
Step-by-step explanation:
Answer:
( x + 2 ) ( x + 4 )
Step-by-step explanation:
Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 problems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time?
Answer:
To be done in time, he would need to solve 6 questions per day on the days that he is not on trip
Step-by-step explanation:
If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days
Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions
Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work
This makes a total of 1 question per day
Adding this to the 5 questions per day he has before will be = 6 questions per day
Answer:
6 problems
Step-by-step explanation:
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
It takes two men six hours to paint a fence. How long would it take three men to paint the same fence?
Answer:
Step-by-step explanation:
If 2 men take 6 hrs to paint the fence, then
3 men would obviously take less time to paint the same fence;
2 men= 6 hrs
3 men= ?
thus, the time taken by three men to paint the same fence=2/3 ×6 hrs
= 4 hrs
Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.
An = ?
Answer:
The explicit formula is Tn = 34 + 3n
Step-by-step explanation:
The nth term of an arithmetic sequence can be represented using the formula
Tn = a + (n-1)d
where a is the first term , n is the number of terms and d is the common difference
For the 12 term(a12), n = 12
70 = a + (12-1)d
70 = a + 11d •••••••(i)
For the 30th term, n = 30
124 = a + (30-1)d
124 = a + 29d •••••••(ii)
Now, directly subtract equation i from ii, we have;
124-70 = (a-a) + (29d-11d)
54 = 18d
d = 54/18
d = 3
To get a , we substitute the value of d in any of the equations
let’s use the first
70 = a + 11d
substituting d = 3
70 = a + 11(3)
70 = a + 33
a = 70-33
a = 37
Thus the explicit formula for the nth term will be
Tn = a + (n-1)d
where a = 37 and d = 3
Tn = 37 + (n-1)3
Tn = 37 + 3n -3
Tn = 34 + 3n
can someone help me plzzzzzzzzzzzzzzzzzzzzzzzzz it's for 10 poits
Answer:
Step-by-step explanation:
3^2 + 4^2 = 5 ^2
in right triangle. c is always the longest
Answer:
[tex]3^{2} +4^{2}+ 5^{2}[/tex]
Step-by-step explanation:
Correct answers only please!
To the nearest cent, how much interest will she earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$915.92
Step-by-step explanation:
i = p(1 + r)^t
i = $800(1 +.07)^2
i = $800(1.07)^2
$915.92
A student is deriving the quadratic formula. Her first two steps are shown.
Step 1: –c = ax2 + bx
Step 2:
Which best explains or justifies Step 2?
Please consider the complete question.
A student is deriving the quadratic formula. Her first two steps are shown. Step 1: [tex]-c = ax^2 + bx[/tex]
Step 2: [tex]-c = a[x^2+\frac{b}{a}x][/tex]
Which best explains or justifies Step 2?
A. division property of equality
B. factoring the binomial
C. completing the square
D. subtraction property of equality
We can see that in step 2 student has factored the right side of equation.
The student factored our a from the right side of equation. To factor our a from right side, student has divide the bx term by a.
We can multiply and divide by same quantity in an equation.
[tex]-c = ax^2+a\cdot \frac{b}{a}x[/tex]
Now we can factor out a as:
[tex]-c = a(x^2+\frac{b}{a}x)[/tex]
Therefore, the 2nd step is known as factoring of binomial and option B is the correct choice.
Answer:
it b factoring a binomial on
Step-by-step explanation:
thats on edge
An author published a book which was being sold online. The first month the author
sold 15800 books, but the sales were declining steadily at 5% each month. If this
trend continues, how many total books would the author have sold over the first 11
months, to the nearest whole number?
Answer:
7110 books
Step-by-step explanation:
5%*15800=0.05*15800=790
790*11=8690
15800-8690=7110
Therefore, 7110 books
Answer: 86,900
Step-by-step explanation:
I changed the 5% into decimal form and made it 0.5. Next, I multiplied 0.5 by 11, which gave me 5.5.
15,800 x 5.5 = 86,900
So, the author would’ve sold 86,900 books in the first 11 months.
(Sorry if wrong. Yeah I think I’m wrong now because I’m not even in high school. Just ignore this lol)
John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What is the volume of John's hole in cubic feet?
Answer:
32 cubic feet
Step-by-step explanation:
To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.
In this case we have a rectangular hole that has an area of 8 square feet.
As we said before:
Volume = Area x height.
If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:
Volume = 8 x 4 = 32 cubic feet.
Thus, the volume of John's hole is 32 cubic feet.
Answer:
32 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is given by;
Length*width*Height
or, Area*height
Height = 4 feet
Area= 8 square feet
Conversion to Cubic feet is given by;
(cubic feet) = (square feet) × (height in feet)
Therefore,
Cubic feet = 8 square feet*4 feet
= 32 cubic feet.
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:
WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.
Answer:
The shaded segment = The arc area - The triangle
The arc area = pi x radius^2 x angle/360
= pi x 9^2 x (360-270)/360 = 63.61 (m2)
The triangle area = 9 x 9/2 = 41.5 (m2)
(because this is right triangle)
=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)
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!
Teri has a bag of colored marbles. Five marbles are red, four are green, ten are blue, and one is white. Marbles are randomly selected out of the bag.
What is the probability of selecting a red marble and then a white marble without replacement?
Answer:
1/76
Step-by-step explanation:
Five marbles are red,
four are green,
ten are blue, and
one is white.
Sample space S= 5+4+10+1= 20
Probability of selecting a red Mable
Pr(red) = 5/20= 1/4
Probability of selecting a white Mable without replacement after the first selection
Pr(white) = 1/19= 1/19
the probability of selecting a red marble and then a white marble without replacement?
= 1/4*1/19= 1/76
Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive
Answer:Regina recieved $14 dollars of change
Step-by-step explanation:
12+14=26
40-26=14
The change received by Regina is $14.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Regina bought a book for price = $12
Regina bought a game for price = $14
Total amount paid by Regina = $40
The Regina should receive the change,
⇒ [tex]Change = 40-(12+14)[/tex]
⇒ [tex]Change = 40-26[/tex]
⇒ [tex]Change = 14[/tex]
Hence we can conclude that the change received by Regina is $14.
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11(4t + 1) whats the answer
Answer:
44t + 11
Step-by-step explanation:
[tex]11(4t + 1) \\ = 11 \times 4t + 11 \times 1 \\ = 44t + 11 \\ [/tex]
Answer:
the answer is attached to the picture
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:
Find the parallelogram.
Answer:
area - 120 cm
Step-by-step explanation:
Answer:
A = 120 cm^2
P = 54 cm
Step-by-step explanation:
Area of parallelogram: = base * height
A = 15 cm * 8 cm = 120 cm^2
Perimeter of parallelogram = sum of lengths of sides
P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm
What are the domain and points of discontinuity of y= x-4/x^2+8x-20? What are the x and y intercepts?
Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x.
x-intercept(s): (2.30581496,0)
y-intercept(s): None
How did mendeleev arrange the elements ?
(-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
Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?
Answer:
The area of the circle is [tex]153.94meters^2[/tex]
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi *radius^{2}[/tex]
To work this out you would first need to divide the diameter of 14 by 2, this gives you 7. This is in order for us to calculate the radius. The radius of a circle is the length from one side to the centre.
Now that we know the radius the next step is to multiply pi by the radius of 7 squared, this gives you 153.94. This is because in order for you to calculate the area you would substitute the values into the formula.
1) Divide 14 by 2.
[tex]14/2=7[/tex]
2) Multiply pi by 7 squared.
[tex]\pi *7^2=153.94 meters^2[/tex]
153.94 square meters is the area of the triangle.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.
Since the diameter is given as 14 meters, the radius can be calculated by dividing the diameter by 2:
r = d/2 = 14/2 = 7 meters
Now, we can substitute this value of radius into the formula for the area of a circle:
A = πr² = π(7)² = 49π square meters
Therefore, the area of Fiona's circle is 49π square meters (or approximately 153.94 square meters if π is approximated to 3.14).
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The table shows the results of an experiment in which a spinner was spun 50 times. Find the experimental probability of each outcome.
Answer:
Option "A" is the correct answer to the following question.
Step-by-step explanation:
Given:
Total number of experiment = 50
Find:
Probability to get less then 4:
Computation:
⇒ Total number can be get less then 4 = 4+2+3
⇒ Total number can be get less then 4 = 9
⇒ Probability of an outcome = Total number of outcomes / Total number of experiment
⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment
⇒ Probability to get less then 4 = 9 / 50
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
A student solved this problem and said the answer was 5 1 4 14 miles. Danielle ran 3 1 8 18 miles on Tuesday, 4 1 2 12 miles on Wednesday, and 5 1 4 14 miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable? No, the answer is not reasonable. It should be about 13 miles. Yes, the answer is reasonable. No, the answer is not reasonable. It should be about 2 miles. No, the answer is not reasonable. It should be about 20 miles.
Question
A student solved this problem and said the answer was [tex]5\frac{1}{4}[/tex] miles. Danielle ran [tex]3\frac{1}{8}[/tex] miles on Tuesday, [tex]4\frac{1}{2}[/tex] miles on Wednesday, and [tex]5\frac{1}{4}[/tex] miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?
- No, the answer is not reasonable. It should be about 13 miles.
- Yes, the answer is reasonable.
- No, the answer is not reasonable. It should be about 2 miles.
- No, the answer is not reasonable. It should be about 20 miles.
Answer:
- No, the answer is not reasonable. It should be about 13 miles.
Step-by-step explanation:
Given
Student solution = [tex]5\frac{1}{4}[/tex] miles.
Miles covered on Tuesday = [tex]3\frac{1}{8}[/tex] miles
Miles covered on Wednesday = [tex]4\frac{1}{2}[/tex] miles
Miles covered on Thursday = [tex]5\frac{1}{4}[/tex] miles
Required
- Total distance covered by the student
- Is the student answer reasonable?
To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,
This goes thus
Distance = [tex]3\frac{1}{8}[/tex] + [tex]4\frac{1}{2}[/tex] + [tex]5\frac{1}{4}[/tex]
Convert to Improper Fractions
Distance = [tex]\frac{25}{8}[/tex] + [tex]\frac{9}{2}[/tex] + [tex]\frac{21}{4}[/tex]
Take LCM
Distance = [tex]\frac{25 + 36 + 42}{8}[/tex]
Distance = [tex]\frac{103}{8}[/tex]
Distance = 12.875
From the calculations above, we can conclude that the student's answe is not reasonable because his calculation ([tex]5\frac{1}{4}[/tex] miles) is much more smaller than the actual result 12.875 miles
From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.
Hence,
A. - No, the answer is not reasonable. It should be about 13 miles.
is the right answer
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
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