Answer:
c.)36
Step-by-step explanation:
Answer:
36 cm
Step-by-step explanation:
The area of a square is length times width. Since it is a square all sides are equal so you multiply 6×6.
Formula: A=s^2 or A=s×s
16. A projectile is thrown directly upward at a velocity of 12.0 m/s. How long does it take for the
projectile to reach its maximum height? (g = 9.8 m/s2)
A. 0.61 s
B. 1.22 s
C. 2.45 s
D. 2.45 s
Final answer:
The projectile takes 1.22 seconds to reach its maximum height.
Explanation:
To find the time it takes for the projectile to reach its maximum height, we can use the equation:
where t is the time, v_f is the final velocity, v_i is the initial velocity, and a is the acceleration.
In this case, the initial velocity is 12.0 m/s and the acceleration is -9.8 m/s² (negative because the projectile is moving upward). Since the final velocity at the maximum height is 0 m/s, we can substitute the values into the equation:
t = (0 - 12.0) / -9.8 = 1.22 seconds
Therefore, it takes 1.22 seconds for the projectile to reach its maximum height.
8n= 24 Solving Multiplication equations algebraically. Check through substitutions
Answer:
n = 3Step-by-step explanation:
[tex]8n=24[/tex] divide both sides by 8
[tex]\dfrac{8n}{8}=\dfrac{24}{8}[/tex]
[tex]n=3[/tex]
Check:
[tex]8(3) = 24[/tex]
[tex]24=24[/tex] CORRECT
Answer:
n=3
Step-by-step explanation:
8n=24
24 divided by 8
=3
the n is left behind so you r left with n =3
What set of integers fall in the solution set of the following inequality:
1/3x<3x+8<-5x
Answer:
-2Step-by-step explanation:
[tex]\dfrac{1}{3}x<3x+8<-5x\qquad\text{multiply all sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}x<3\cdot3x+3\cdot8<3\cdot(-5x)\\\\x<9x+24<-15x\\\\\text{Let split it into two inequalities}\\\\(1)\qquad x<9x+24\ \text{and}\qquad (2)\qquad 9x+24<-15x[/tex]
[tex](1)\\x<9x+24\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\-8x<24\qquad\text{change the signs}\\\\8x>-24\qquad\text{divide both sides by 8}\\\\\boxed{x>-3}\\\\(2)\\9x+24<-15x\qquad\text{add}\ 15x\ \text{to both sides}\\\\24x+24<0\qquad\text{subtract 24 from both sides}\\\\24x<-24\qquad\text{divide both sides by 24}\\\\\boxed{x<-1}\\\\\text{From (1) and (2) we have}\\\\-3<x<-1\to\text{There is only one integer in this solution: -2}[/tex]
(x-1)(2x^2+2x+2)
Please show all the work!
Thank You
Answer:
2x³ - 2
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
= x(2x² + 2x + 2) - 1(2x² + 2x + 2) ← distribute both parenthesis
= 2x³ + 2x² + 2x - 2x² - 2x - 2 ← collect like terms
= 2x³ - 2
Help ASAP!!! How did it take Escher time 18 liters of water were drained is it A) 1/4 min B) 1/2 min c) 1min or D) 1/3min?
Answer:
A) 1/4 min
Step-by-step explanation:
Find the equation for the graph:
y = mx + b
Find the slope using two random points (0, 360) and (5, 0)
m = (y2 - y1) / (x2 - x1)
m = (0-360) / (5-0)
m = -360/5
m = -72
b is 360, the y-intercept.
Substitute m= -72 and b=360 into slope-intercept form.
y = -72x + 360
x represents time and y represents the total amount of water at the time.
We are looking for when only 18 liters were drained.
360 - 18 = 342 <= Total amount of water when 18 liters are drained
Substitute 342 for y in the equation and isolate x.
342 = -72x + 360
-18 = -72x
x = 18/72
x = 1/4
Therefore, it will take 1/4 of a minute to drain 18 liters.
Answer: 1/4
Step-by-step explanation:
I got it right on khan academy.
Hope this helps
Climate change in Canada
According to the 2019 report Canada's Changing Climate Report (CCCR) which was commissioned by Environment and Climate Change Canada, Canada's annual average temperature over land has warmed by 1.7 C since 1948. The rate of warming is even higher in Canada's North, in the Prairies and northern British Columbia
What is log39 = x in exponential form?
3x = 9
o 9x = 3
o x3 = 9
o 39 = x
оооо
DONE
Answer:
9 = [tex]3^{x}[/tex]
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]log_{3}[/tex] 9 = x ⇔ 9 = [tex]3^{x}[/tex] ← in exponential form
Answer:
its A on edge
Step-by-step explanation:
Provide an appropriate response.
6) The length of time it takes college students to find a parking spot in the library parking lot follows a normal
distribution with a mean of 4.5 minutes and a standard deviation of 1 minute. Find the cut-off time which
75.8% of the college students exceed when trying to find a parking spot in the library parking lot.
A) 4.8 min
B) 5.3 min
C) 5.2 min
D) 5.0 min
Answer:
Step-by-step explanation:
B
Ten times the sum of a number and 9
Answer:
10(x+9)
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
J.k. Rowling and R.L. Stone are both ready hunger games . J.k. Reads 35 pages every 2 hours and R.L. Reads 45 pages every 3 hours . what is the rate of change for each reader ?
Answer:
The rate of change for each reader is :
For J K Rowling : 17 and a half pages per hour
For R L Stone : 15 pages per hour
Step-by-step explanation:
Here the reading rate of each reader is given as:
J.K. Reads 35 pages every 2 hours.
So, the number of pages read by J K in 2 hours = 35 pages
⇒ The number of pages read per hour = 35 / 2 = 17 . 5 pages
So, the pages read by J K Rowling in 1 hour is 17 and a half pages.
R L Stone reads 45 pages every 3 hours.
So, the number of pages read by R L in 3 hours = 45 pages
⇒ The number of pages read per hour = 45 / 3 = 15 pages
So, the pages read by R L Stone in 1 hour is 15 pages.
Hence, the rate of change for each reader is :
For J K Rowling : 17 and a half pages per hour
For R L Stone : 15 pages per hour
solve the equation for all real values of x.
an inflatable swimming pool holds 1,000 gallons of water. It sprang a leak. and 5% of the water leaked out of the pool. How many gallons of water leaked out
50 gallons of water leaked out of swimming pool.
Step-by-step explanation:
Total no. of gallons in swimming pool = 1000
Percentage of leaked water = 5%
Gallons of water leaked = 5% of total no. of gallons
[tex]Gallons\ of\ water\ leaked=\frac{5}{100}*1000\\\\Gallons\ of\ water\ leaked=\frac{5000}{100}\\\\Gallons\ of\ water\ leaked= 50\ gallons[/tex]
50 gallons of water leaked out of swimming pool.
Keywords: percentage, division
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The sum of two numbers is 20 and their product is 96. Find the numbers.
Answer:
12 and 8
Step-by-step explanation:
12 + 8= 20
12 x 8= 96
The two numbers are 12 and 8. They have a sum of 20 and a product of 96, satisfying the given conditions.
To find two numbers whose sum is 20 and whose product is 96, we can set up a system of equations. Let's call the two numbers x and y.
1. The first equation represents their sum:
x + y = 20
2. The second equation represents their product:
xy = 96
Now, we need to solve this system of equations. One way to do it is by substitution. From the first equation, we can express y in terms of x: y = 20 - x.
Now, we substitute this expression for y into the second equation:
x(20 - x) = 96
Expanding and simplifying this equation:
20x - x^2 = 96
Rearranging terms:
x^2 - 20x + 96 = 0
Now, we factor the quadratic equation:
(x - 12)(x - 8) = 0
This gives us two possible solutions for x: x = 12 and x = 8.
So, the two pairs of numbers that satisfy the conditions are (12, 8) and (8, 12). In both cases, the sum of the numbers is indeed 20, and their product is 96, as required.
In summary, the two numbers are 12 and 8, and they meet the criteria of having a sum of 20 and a product of 96. These solutions demonstrate how algebraic techniques can be used to solve real-world problems involving unknown values.
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The simple interest on a sum of money for 2 years at 12% p.a is rupees 1380. Find the sum of
money.
Answer:
Simple interest = PRT/100
1380 = P x 12 x 2/100
138000 = 24P
Therefore P = 5750 Rs.
Hope this helps!
To find the principal amount given the simple interest, rate, and time, use the formula P = SI / (R × T). Substituting the values, the principal amount is 5750 rupees.
To find the sum of money (principal) using the given simple interest, we can use the simple interest formula:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T)
Here, we know that:
SI = 1380 rupeesR = 12% per annum or 0.12T = 2 yearsRearranging the formula to solve for the principal (P):
[tex]P = \frac{SI }{(R * T)}[/tex]
Substitute the known values:
P = 1380 / (0.12 × 2)
Solving the equation:
P = 1380 / 0.24
P = 5750 rupees
Therefore, the sum of money is 5750 rupees.
Wendy picks a marble at random, puts it back, and then picks another marble at random.
Are these two events dependent or independent?
dependent
independent
Independent. Two events are dependent if knowing the result of the first one influences what you'd expect from the second.
Consider this example: if I have a sack with 3 black marble and 1 white marble, I have probability 75% of picking a blakc marble, and 25% of picking the white one.
If I pick the white one, and don't replace, the second pick will be dependent on the first one, because now I'm sure that I'll pick one of the black marbles, since they are the only ones left in the sack.
In your example, though, Wendy replaces the marble she picks first. This means that the second pick will take place in the exact same conditions of the first one, and knowing which marble she picked at first doesn't affect in any way the result of the second pick.
As another example, consider rolling two dice. Suppose that the first die lands showing 4. Does this affect in any way what you'd expect from the second die? Well, no: the numbers 1-6 are still equally probable to show up.
10+x=5(1/5x+2) Equations with infinite and no solution
Answer:
Infinitely many solutions.
Step-by-step explanation:
10+x=5(1/5x+2)
10+x=x+10
infinitely many solutions
The equation 10+x=5(1/5x+2) has an infinite number of solutions.
Explanation:To solve the equation 10+x=5(1/5x+2), we need to simplify both sides and then isolate the variable x. Let's start by distributing the 5 to the terms inside the parentheses.
10+x = 5(1/5x+2) becomes:
10+x = 1x+10
Next, we can combine like terms on each side of the equation. Subtracting x from both sides:
10 = x+10-x
The x terms cancel out, leaving us with:
10 = 10
This equation is always true, which means that there are an infinite number of solutions.
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The complete Question is given below
10+x=5(1/5x+2)
Determine whether it has one solution, an infinite number of solution, or no solutions
Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of 7,500
ft. If each student on average took up a circular space with a diameter of 2.5 ft what is the best estimate for the number of
students at the pep rally?
A)600
B)900
C)1,200
D)1,800
Answer:
c)1200
Step-by-step explanation:
Given: Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of [tex]7500[/tex] ft.
To Find: If each student on average took up a circular space with a diameter of [tex]2.5[/tex] ft what is the best estimate for the number of students at the pep rally.
Solution:
Consider the figures attached
A student took up a circular space, if they were packed in rows each student acquired a circular space of [tex]2.5[/tex] ft and left some unused area as given in figures
Now,
Area acquired by a student is a square of side [tex]2.5[/tex] ft as given in figure
Area acquired by single student[tex]=(\text{length of square})^2[/tex]
[tex]=2.5\times2.5[/tex]
[tex]6.25\text{sq.ft}[/tex]
Total number of students [tex]=\frac{\text{total area of rectangular gym}}{\text{area acquired by single student}}[/tex]
[tex]\frac{7500}{6.25}[/tex]
[tex]1200[/tex]
there are approximately [tex]1200[/tex] students in gym hence option b is correct.
there were 50 rabbits on an island. After three months the number of rabbits had increased to 70. If the number of rabbits increased exponentially, answer the questions that follow:
A. in the equation above (where t is in months:, find the value of the growth rate k. (round k to 4 decimal places)
Answer:
0.1187
Step-by-step explanation:
A = P (1 + k)^t
where A is the final amount,
P is the initial amount,
k is the monthly growth rate,
and t is the number of months.
70 = 50 (1 + k)^3
1.4 = (1 + k)^3
∛1.4 = 1 + k
k = -1 + ∛1.4
k = 0.1187
The fraction 7/9 is in the lowest terms. True or false ??
Answer:
True
Step-by-step explanation:
This is true because there is no common factor for 7 annd 9
The ratio of tomatoes is 2:5 if there are 20 tomatoes how many apples are there.
Answer:
50 Apples
Step-by-step explanation:
10x2=20 tomatoes
10x5=50 apples
Answer:
50 apples
Step-by-step explanation:
well the ratio of tomatoes to apples is 2:5
so if you have 20 tomatoes times 5 apples by ten to get the answer
2 x 10 = 5 x 10
help me answer this question please.
The right answer is Option B.
Step-by-step explanation:
Given expression is;
5x√2 - 3√2 + x√2
We can add or subtract square roots only when the values inside the square root are same and the variables are also same.
In the given expression, variable x is same with √2, therefore, adding both the roots
[tex]6x\sqrt{2} -3\sqrt{2}[/tex]
6x√2 - 3√2 is equivalent to 5x√2 - 3√2 + x√2.
The right answer is Option B.
Keywords: square roots, subtraction
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4x+3(2x-1)-4x
I need an equivalent expression please.
Answer:
6x - 3
Step-by-step explanation:
Distribute first.
4x + 6x - 3 - 4x = 10x - 4x - 3 = 6x - 3
The equivalent expression for 4x + 3(2x - 1) - 4x is 6x - 3, achieved by distributing the multiplier in the parenthese and then combining like terms.
Explanation:The expression 4x + 3(2x - 1) - 4x can be simplified by first distributing the 3 in the term 3(2x - 1), then combining like terms.
1. Distribute the 3 to get : 4x + 6x - 3 - 4x
2. Combine like terms: 6x - 3
So, the equivalent expression of 4x + 3(2x - 1) - 4x is 6x - 3
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A car uses 7 litres of petrol for every 100 km travelled. Which is the best estimate for the amount of petrol (in litres) needed to travel 590 km?
Answer:
41.2876137159
Step-by-step explanation:
100 divided by 7 is 14.2857142857 km per litres. Then 590 divded by 14.2857142857 is 41.2876137159 or 41.29 rounded
Dan buys candy that costs$5 per pound. He will spend at least $35 on candy. What are the possible numbers of pounds he will buy?
Answer:
7 and up
Step-by-step explanation:
35 / 5 = 7
Dan buys at least 7 bags
Simplify. 5√⋅12−−√⋅50−−√
Answer:
Here's the answer. I got it right on my quiz. Hope I could help:)
Answer:
10 square root over 30
Step-by-step explanation:
took the test
To purchase $12,900 worth of machinery for her business, Melissa made a down payment of $2100 and took out a business loan for the rest. After years of paying monthly payments of $478.67, she finally paid off the loan.
a) What was the total amount Melissa ended up paying for the machinery (including the down payment and monthly payments)?
(b) How much interest did Melissa pay on the loan?
Answer:
a) $13588.08
b) $688.08
Step-by-step explanation:
Melissa had to purchase $12,900 worth of machinery for her business.
She made a down payment of $2100 and after that made monthly payments of $478.67 for the business loan for the rest.
Given that after years of paying monthly payments of $478.67, she finally paid off the loan.
Assume that she took 2 years to repay the loan.
a) Therefore, the total amount Melissa ended up paying for the machinery was $[2100 + (478.67 × 24)] = $13588.08 (Answer)
b) Therefore, the amount of interest that Melissa pay on the loan is $(13588.08 - 12900) =$688.08. (Answer)
what is the slope of the table x= 2, 0, -2, -4 y= 6, 1, -4, -9
Answer:
The slope of the table is [tex]m=\frac{5}{2}[/tex] or [tex]m=2.5[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the following ordered pairs
(2,6),(0,1),(-2,-4) and (-4,-9)
take two points
(2,6) and (-4,-9)
substitute in the formula
[tex]m=\frac{-9-6}{-4-2}[/tex]
[tex]m=\frac{-15}{-6}[/tex]
simplify
[tex]m=\frac{5}{2}[/tex]
what is sin 67°?
a)
[tex] \frac{5}{12} [/tex]
b)
[tex] \frac{5 }{13} [/tex]
c)
[tex] \frac{12}{13} [/tex]
d)
[tex] \frac{12}{5} [/tex]
Answer:
Step-by-step explanation:
sin67° = 12/13
Bob spent $64 for two shirts, including tax. The difference between the costs of the shirts was $16. Write two equations that you will use to solve the system
x+y=64 and x-y=16 can be used to solve the system.
Step-by-step explanation:
Let,
x,y be the two shirts.
According to given statement;
Bob spent $64 on both shirts;
x+y=64 Eqn 1
The difference between the costs of the shirts was $16 means subtraction;
x-y=16 Eqn 2
x+y=64 and x-y=16 can be used to solve the system.
Keywords: linear equation, addition
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Answer:
The cost of the shirts are $40 and $24
Step-by-step explanation:
Let
x ----> the cost of one shirt
y ----> the cost of the other shirt
we know that
[tex]x+y=64[/tex] ----> equation A
I assume that the cost x is greater than the cost y
so
[tex]x-y=16[/tex] ----> [tex]x=y+16[/tex] ---> equation B
solve the system by substitution
substitute equation B in equation A
[tex]y+16+y=64[/tex]
solve for y
[tex]2y=64-16[/tex]
[tex]2y=48[/tex]
[tex]y=\$24[/tex]
Find the value of x
[tex]x=y+16[/tex] ----> [tex]x=24+16=\$40[/tex]
therefore
The cost of the shirts are $40 and $24
The perimeter of a rectangle is 10. The length of the rectangle is five less than four times the width. Find the width of the rectangle
L=4*W-5
10=W*2+(4*W-5)*2
10=W*2+8*W-10
20=10*W
2=W
L=4*2-5
L=3