Answer:
36 student gets the equal amount of Clay by Mrs p
Simplify (3/4)^6÷(3/4)^3
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
Since we are dividing indices here with fractions, we apply the rule to minus the indices from each other when dividing. So,
[tex]\frac{3}{4} ^{6} -\frac{3}{4} ^{3}[/tex] = [tex]\frac{3}{4}^{6-3}[/tex] = [tex]\frac{3}{4}^{3}[/tex] = [tex]\frac{3 * 3 * 3}{4 * 4 * 4}[/tex] = [tex]\frac{27}{64}[/tex]
Lucy have $6400 if she invests
$1200 at 15% interest
compounded quarterly?
Answer:
11.4 years
Step-by-step explanation:
We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.
FV = P(1 +r/n)^(nt)
for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...
6400 = 1200(1 +0.15/4)^(4t)
16/3 = 1.0375^(4t) . . . . divide by 1200
log(16/3) = 4t·log(1.0375) . . . . take logarithms
t = log(16/3)/(4·log(1.0375)) ≈ 11.4
It will take about 11.4 years for Lucy's investment value to be $6400.
The population p(in thousands) of colorado springs, colorado is given by p(t)=36e^kt where t represent the year, with t=0 corresponding to the year 2000. In 1980, the population was 215,000. Find the value of k
Correction
The function is [tex]p(t)=361e^{kt[/tex]
Answer:
k=0.0259
Step-by-step explanation:
The population function is given as: [tex]p(t)=361e^{kt}[/tex]
Where t=0 corresponds to the year 2000.
In 1980, 1980-2000=-20, p(-20)=215
Therefore:
[tex]215=361e^{k*-20}\\$Divide both sides by 361$\\\frac{215}{361}= e^{-20k}\\$Take the natural logarithm of both sides$\\ln(\frac{215}{361})=-20k\\k=ln(\frac{215}{361})\div (-20)\\k=0.0259[/tex]
Answer:
k ≈ 0.44
Step-by-step explanation:
Given the equation
p(t) = 36e^(kt)
In the year 2000, when t = 0, the population
p(0) = 36e^k............(1)
In 1980, when t = -20, the population was 215000
This implies that
215000 = 36e^(-20k)
e^(-20k) = 215000/36
e^(-20k) = 5972.222
Taking natural logarithm of both sides
ln(e^(-20k)) = ln(5972.222)
-20k = 8.695
k = -8.695/20 = 0.435
k ≈ 0.44
PLEASE HELP WILL MARK BRAINLIEST
8 > 7- yes
7 = 7- no
12 > 7- yes
2 < 7- no
Question 9 (3 points)
Greg buys a home for $328,500. His home is predicted to increase in value 4% each year.
What is the predicted value of his home in 25 years?
A) $875,727
B) $1,065,456
C) $1.158.324
One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafeteria sometime between 12:15 P.M. And 12:45 P.M. Today you get to the cafeteria at 12:20 P.M. What is the probability that you have missed both friends in the cafeteria?.
Answer:
11.11% probability that you have missed both friends in the cafeteria
Step-by-step explanation:
We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.
Uniform distribution:
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]
Probability that you miss the first friend:
Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex]
You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.
[tex]P_{1} = P(X \leq 20) = \frac{20 - 0}{30 - 0} = 0.6667[/tex]
Probability that you miss the second friend:
Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex].
You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.
[tex]P_{2} = P(X \leq 20) = \frac{5 - 0}{30 - 0} = 0.1667[/tex]
Probability that you miss both friends:
Missing the first friend and the second friend are independent events. So we multiply these probabilities.
[tex]p = P_{1}*P_{2} = 0.6667*0.1667 = 0.1111[/tex]
11.11% probability that you have missed both friends in the cafeteria
The sum of two numbers is 39. Their difference is 21. What are the two numbers?
Answer:
30 and 9
Step-by-step explanation:
x+y=39 , x-y=21
Solve for x:
x+y=39 , x-y=21
x= 30
Substitute x with 30:
(30)+y=39 , (30)-y=21
Solve for y:
y=9
Answer:
30 and 9
Eeexplination;
A building is 24 feet tall and 40 feet wide. If a scale model of this building is 10 inches wide, how tall is the model?
Answer:
The model is 6 inches tall.
Step-by-step explanation:
Write and solve an equation of ratios:
10 in. x
--------- = ----------
40 ft. 24 ft.
Cross-multiplication yields:
240 in = 40x, so x = 6 inches.
The model is 6 inches tall.
The scale model is 6 inches.
Important information:
A building is 24 feet tall and 40 feet wide. The scale model of this building is 10 inches wide.Scale model:Let the scale model is [tex]x[/tex] inches tall.
The height and width of the building and the scale model are proportional.
[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]
[tex]x=\dfrac{24}{40}\times 10[/tex]
[tex]x=6[/tex]
Therefore, the scale model is 6 inches.
Find out more about 'Scale model' here:
https://brainly.com/question/1664216
PLease find attached the question
Answer: 102.9m
Step-by-step explanation: From A to C you can go from the diagonal path and then go around the circular path and then continue the diagonal path. In order to work out the length of the diagonal, you can simply use pythagoras as the triangle is right angled. So to find the length of the whole diameter, you should do 50 squared plus 80 squared and then square root the answer to get 94.34. But then you have to subtract the part of the diagonal line which the circle takes up, so we already know that the diameter of the circle is 15m so we simply do 94.34-15 to get 79.34. This means that we have found the length of the two diagonals, but now we need to find the length of half the circumference of the circle so that the path is complete and to find half the circumference, we'd do Pi multiplied by the diameter (15) and then divide the answer by 2 (because we are only finding the circumference for half of the circle as we have you go around the circle), leaving us with the answer of 23.56. We then add this to the 79.34 to get the answer of 102.9m. We know this is the shortest route as going along the edges of the rectangle would be 130m which is longer than 102.9m.
To solve -6x + 4 = -20, what steps would you perform?
A.) subtract 4
b.) add 4
C.) divide 4
D.) multiply four
next
A.)divide-6
B.)add -6
C.)multiply -6
D.) subtract -6
Answer:
I think they are both wrong
The correct way to solve it is this.
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
[tex]-6x+4-4=-20-4[/tex]
[tex]-6x=-24[/tex]
Step 2: Divide both sides by -6.
[tex]\frac{-6x}{-6} =\frac{-24}{-6}[/tex][tex]x=4[/tex]
Answer:
x=4
I hope to help you!!!!
First step is subtract 4 and next option is divided (-6)
So,From first part option A is the correct answer and from next part option A is the correct answer.
What steps would we perform?
This is a problem of equation part of Algebra.
Some important Algebra formulas.
(a + b)² = a² + 2ab + b²
(a − b)² = a² − 2ab − b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a - b)³ = a³ - 3a²b + 3ab² - b³
a³ + b³ = (a + b)³ − 3ab(a + b)
a³ - b³ = (a -b)³ + 3ab(a - b)
a² − b² = (a + b)(a − b)
a² + b² = (a + b)² − 2ab
a² + b² = (a − b)² + 2ab
a³ − b³ = (a − b)(a² + ab + b²)
a³ + b³ = (a + b)(a² − ab + b²)
Here given, equation is [tex] - 6x + 4 = - 20[/tex]
Now,
-6x + 4 = -20
First we are separating variable and constant part.
So first we subtracting 4 from (-20) and get
[tex] - 6x = - 20 - 4[/tex]
or,[tex] - 6x = - 24[/tex]
Now (-24) is dividing by (-6) and get,
[tex]x = \frac{ - 24}{ - 6} \\ x = 4[/tex]
So, value of x is 4.
Equation related one more question:
https://brainly.com/question/10413253
#SPJ2
If (− 1 3 ) + 7 = 4, then what is the value for ( 1 3 ) + 6?
Answer:
I'm not sure this is an IQ question or not, but logically:
If (− 1 3 ) + 7 = 4, then (− 1 3 ) = 4 - 7 = -3
=> ( 1 3) = 3
=> (1 3) + 6 = 3 + 6 = 9
Hope this helps!
:)
A rectangular painting has a length of 8 inches and an unknown width, w. The area of the painting is less than 64 square inches. Which inequality represents the possible values of w? w less-than 8 w greater-than 8 w greater-than 56 w less-than 56
Answer:
i think is b
Step-by-step explanation:
Answer:
i think its B
Step-by-step explanation:
i dont know sorry:(
What’s the BLM hashtag and why does it affect our society
Answer:
The BLM or Black lifes matter is a movements that started with the murther or death of a African american person some days ago
Step-by-step explanation:
x(a-b)=b(c-x)
make x the subject of the formular
pls help meee
Answer:
[tex]X(a - b) = b (c - x) : x = - -\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]
Step-by-step explanation:
[tex]X\left(a-b\right)=b\left(c-x\right)[/tex]
Switch sides:
[tex]b\left(c-x\right)=X\left(a-b\right)[/tex]
Divide both sides by; [tex]\:b\ne \:0[/tex]
[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]
Simplify:
[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]
Subtract [tex]c[/tex] from both sides:
[tex]c-x-c=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]
Simplify:
[tex]-x=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]
Divide both sides by [tex]-1;\quad \:b\ne \:0[/tex]:
[tex]\frac{-x}{-1}=\frac{\frac{X\left(a-b\right)}{b}}{-1}-\frac{c}{-1};\quad \:b\ne \:0[/tex]
Simplify:
[tex]x=-\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you. Have a good day! =)
Which describes Myra's distance as time increases?
The table shows the total distance that Myra runs over
different time periods.
Time and Distance Ran by Myra
increasing
decreasing
zero
constant
Time
(minutes)
0
2
4
6
8
Distance
(miles)
0.0
0.4
0.8
1.2
1.6
Answer:
(A)increasing
Step-by-step explanation:
Given the time and total distance ran by Myra in the table below.
[tex]\left|\begin{array}{c|c}Time(minutes)&Distance(miles)\\--&--\\0&0.0\\2&0.4\\4&0.8\\6&1.2\\8&1.6\end{array}\right|[/tex]
We observe that as time increases, Myra's distance also increases. It is the speed(0.2 miles per minute) which is constant.
Therefore Option A is the correct option.
Answer:
its a
Step-by-step explanation:
In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 336 grams of copper. How many grams of zinc does it contain? HELP PLSSSS
Can you make 142? Numbers given: 2,9,1,7,2,7,5 Using any combination the numbers above and any operations, get the total to be 142. You need to give me at least 4 different ways. You also need to show me how you know your answer is correct. Only one answer can only use two steps, all the rest must have at least three steps. You have to attempt more than just one operation.
Answer:
1) 2 × 2 × 5 × 7 + 9 -7×1 = 142
2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142
3) 2 × 9² - 7 - 7 - 5 - 1 = 142
4) 2 × 7² + 9 + 7 × 5 × 1 = 142
Step-by-step explanation:
1) 2 × 2 × 5 × 7 + 9 -7×1 = 142
Multiply 2 by 2 by 5 by 7 add to 9 then subtract 7 multiplied by 1
2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142
Multiply 9 by 7 by 2 by 7 add to 5 multiplied by 2 then add to 7 and subtract 1
3) 2 × 9² - 7 - 7 - 5 - 1 = 2 × 9² - (7 + 7 + 5 + 1) = 142
Multiply 2 by 9 raised to the power of 2 then subtract the sum of 7, 7, 5 and 1
4) 2 × 7² + 9 + 7 × 5 × 1 = 142
Multiply 2 by 7 raised to the power of 2 then add 9 and add 7 multiplied by 5 multiplied by 1.
What is the distance between (–13, 9) and (11, 2) on a coordinate grid?
Answer:
(13,6)
Step-by-step explanation:
Answer:
(13,6)
Step-by-step explanation:
The Science Club has 6 members, 4 girls and 2 boys. What is the ratio of girls to boys in the Science Club?
Answer:
4 to 2
Step-by-step explanation:
Answer:
The ration is 2 : 1
Step-by-step explanation:
Out of 6 members, there are:
4 girls
2 guys
Ratio of girls to boys:
girls : boys
4 : 2
Simplify by dividing.
4 ÷ 2 : 2 ÷ 2
2 : 1
Solve the equation for x.
4x + ax = 2(bx + 3)
Answer:
x = [tex]\frac{6}{4+a-2b}[/tex]
Step-by-step explanation:
Given
4x + ax = 2(bx + 3) ← distribute parenthesis
4x + ax = 2bx + 6 ( subtract 2bx from both sides )
4x + ax - 2bx = 6 ← factor out x from each term on the left side
x(4 + a - 2b) = 6 ← divide both sides by (4 + a - 2b)
x = [tex]\frac{6}{4+a-2b}[/tex]
Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the cheese evenly between 6 sandwiches. Write an equation to determine how many ounces of cheese, c, Noah can use on each sandwich.
Answer:
24/6=c
Step-by-step explanation:
Well to split 24 you need to divide by 6 and that will equal the answer. An equation always has a equal sign so you know that you would be solving for c
At an office store, pens are sold by the box with 15 pens per box. The store has 232 boxes to sell. How many pens does the store have to sell? Enter your answer in the box.
Answer:
1 box contain 15pens
232 boxes contain x pen
to find x we wil cross multiply
1box = 15pen
232 boxes = x pen
x pen = 232 * 15
= 3480 pens
Hence , office have to sell 3480 pens
Step-by-step explanation:
1 box contain 15pens
232 boxes contain x pen
to find x we wil cross multiply
1box = 15pen
232 boxes = x pen
x pen = 232 * 15
= 3480 pens
Hence , office have to sell 3480 pens
A line is parallel to y = 5x + 9 and
intersects the point (-2, -3). What is the
equation of this parallel line?
y = 5x + [?]
Answer:
y = 5x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 9 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, thus
y = 5x + c ← is the partial equation
To find c substitute (- 2, - 3) into the partial equation
- 3 = - 10 + c ⇒ c = - 3 + 10 = 7
y = 5x + 7 ← equation of parallel line
$2,000,000 is what percent of $10,000,000?
Answer:
20 percent
Step-by-step explanation:
Answer:Now I'm not that smart but it should be 20%
Step-by-step explanation:if you take the 10 and the the 2, since 10 is acting as the 100% the 2 will be the 20%
Hope that helped
Simplify the expression –3 2 . A. 9 B. 6 C. –6 D. –9
Answer:
see below
Step-by-step explanation:
(-3) ^2
(-3)*(-3)
A negative times a negative
9
If the problem is
- (3) ^2
- (3*3)
- 9
PLZ PLZ HELP ASAP WILL GIVE BRAINLEIST
Answer:
Sure thing! Volume is length times width times height. It does not matter what order you put the numbers in, though
Step-by-step explanation:
1 is 0.6666666666666666666666666666 infinity
2 is 0.421875
4 is 0.3
5 is 1.3125.
please mark brainliest!!
Answer:
Step-by-step explanation:
1. 1/6 feet
2. 27/64 yards
4. 3/10 inches
5. 21/16 cm
hope this helped you!!
write an expression,using an exponent,that is equivalent to 6×6×6×6×6
The answer is [tex]6^{5}[/tex].
Happy to help!
please find the kissing number
1,5,25,125,624,????
Answer:
The answer is 3125 and I suppose that 624 is meant to be 625
Answer:
The next number should be 3,125
Step-by-step explanation:
1*5=5
5x5=25
25x5=125
125x5=625
625x5= 3,125
solve for K
k/2+1/2=3
Answer:k=5
Step-by-step explanation:
K/2+1/2=3
K/2=3-1/2
K/2=5/2
K=10/2
K=5
The Torrid Zone on Earth is the area between the Tropic of Cancer and the Tropic of Capricorn. The distance between these two tropics is about 3250 miles. You can estimate the distance as the height of a cylindrical belt around the Earth at the equator.
A) Estimate the surface area of the Torrid Zone. Round your answer to the nearest tenth of a million. (The radius of Earth is about 3960 miles.)
Answer:
The surface area of the Torrid zone is 179,418,254.4 miles^2
Step-by-step explanation:
In this question, we are to estimate the surface area of the Torrid zone
From the question, we can deduce that the Torrid zone is like a cylindrical belt with a height of 3250 miles while the radius of the earth is 3960 miles
Thus, to calculate the surface area of the Torrid zone, we use the formula for the surface area of a cylinder
Mathematically, this is
A = 2πr ( r + h)
In this case, r = 3960 miles and h = 3250 miles
Substituting these values into the equation, we have
A = 2 * 3.142 * 3960(3960 + 3250)
A = 6.284 * 3960(7210) miles^2
A = 179,418,254.4 miles^2