A rule of thumb for estimating the size of a crowd is that 2 people take up
5 square feet. If a club has a dance floor that is 30 x 20 feet, how many
people could crowd onto the floor?
Answer:
120 people
Step-by-step explanation:
Length of dance floor = 30 ft
Width of dance floor = 20 ft
Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:
= Area of dance floor ÷ 5 ft²
= (30*20) ÷ 5
= 600 ÷ 5
= 120.
120 people will crowd the dance floor.
find the value of x when lines w and v are parallel.
Answer: B. 17
Step-by-step explanation:
4x-3 = 65
Add 3 on both sides
4x = 68
Divide by 4 on both sides
x = 17
BOOM!
Answer:
B) 17
Step-by-step explanation:
The door was 6ft 7 inches high. How many inches is that?
What the answer
Answer:
79 inches is how tall the door is
Step-by-step explanation:
(True or False) The set of ordered pairs {(6,4),(2,-5),(-2,4),(6,-4)} is a function
Answer:
False
Step-by-step explanation:
The same function input (the first number in the pair) cannot have two different outputs (the second number in the pair).
(6, 4) 4 is one output.
(6, -4) -4 is another output.
Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.
Answer:
First part 7 units left and 5 units up
The 2nd part is v ≥-7 and the third part is Y≥5
Step-by-step explanation:
Done it in Edge and got it right :)
The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.
What is function?"It defines the relation between input and output values.""In function, for each input there is exactly one output."What is transformation of function?"It is nothing but mean transforming the function from one form to another."
For given question,
We have been given a function [tex]y=\sqrt{x}[/tex]
We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]
We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.
So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.
We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.
So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.
Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.
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Find the length of each segment with endpoints A and B. Select the exact answer. (This means that it is either an integer or in simplest radical form) A (5,-6) B (-2,-8) a 10 b 3 c53 d 17
Sabas dance class is 3 miles from her home
Kai had a gross weekly paycheck of $616 last week. Kai worked 6 hours for 4 of the days and 8 hours on 1 day. What is Kai's hourly rate of pay? a. $16.21 b. $19.25 c. $20.53 d. $25.67 Please select the best answer from the choices provided
The correct answer is B. $ 19.25
Explanation:
To calculate the hourly rate of pay, first, let's calculate the total number of hours Kai worked, and then divide the total earned into the number of hours.
6 hours x 4 days = 24 hours
8 hours x 1 day = 8 hours
24 hours + 8 hours = 32 hours
This shows Kai worked a total of 32 hours. Now to find the hourly rate of pay, follow this procedure:
$616 (total earned) ÷ 32 hours = $19.25 each hour
This means Kai earns $19.25 for each hour of work and therefore the hourly rate of pay is $19.25.
Answer:
B
Step-by-step explanation:
You asked a sample of individuals what kind of animal is their favorite. Of the 167 individuals in your sample, 52 of them answered "dog". Which of the following gives a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog
a. (23.4%, 38.9%)
b. (16.8%, 32.3%)
c. (3.1696, 3.2696)
d. (2.21%,4.21%)
Answer:
a. (23.4%, 38.9%)
Step-by-step explanation:
Р = x/∝ = 52/167 = 0.3114
At 95% confidence level
∝ = 1 - 0.95 = 0.05
Zerit = Z0.05/2 = 1.96
Р ± Zerit [tex]\sqrt{P(1-P) / n}[/tex]
= 0.3114 ± 1.96 [tex]\sqrt{0.3114(1-0.3114) / 167}[/tex]
= 0.3114 ± 0.0702
= 0.2412 or 0.3816
= 24.1% or 38.1%
Closest Option = 23.4%, 38.9%
A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)
The formula for calculating the confidence interval based o proportion is expressed according to the formula:
[tex]p\pm z\sqrt{\frac{p(1-p)}{n} }[/tex]
z is the z-score at 95% confidence interval
p is the proportion
n is the sample size
Given the following parameters
p = 52/167 = 0.31
z = 1.96
n = 167
Substitute the given parameters into the formula to have:
[tex]CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)[/tex]
Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)
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A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 180 m. Find an equation for the tower. (Assume the position of the hyperboloid is such that the center is at the origin with its axis along the z-axis, and the minimum diameter at the center.)
Answer:
(x/90)² + (y/90)² - z²/343750
Step-by-step explanation:
we assume that the horizontal cross-sections are circles,
From our equation
a= b
Given the minimum diameter as 180
The trace= ,0
Minimum radius a= 180/2= 90
The base of the tower is the trace in Z = -500
using the equation of hyperbole of one sheet below
(x/a)² + (y/b)² - ( (z/c)²=1
a= 90
+((-500)²/c)²
x² +y²=90²+ 55000²/c²
diameter at base= 260/2=130m
130² + 55000²/c²= 130²
We can find c
c²=55000²/(130²/90²) = 1210000/8800
= 343750
hence, the equation is
(x/90)² + (y/90)² - z²/343750
Holmes Junior High has 125 more students than Harper Junior High. When the two schools are merged there will be 579 students. How many students currently attend each school?
Answer: 454
Step-by-step explanation: Holmes has 125, Merged there is 579, 579-125 = 454 :) easy subtraction
what are prime numbers?
Answer:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Answer:
Prime numbers are positive integers that have only 2 factors: Itself, and 1.
For example, 13 is a prime number because it has only 2 factors that are: 1 and 13.
1 is NOT a prime number as it only has 1 factor which is 1.
Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)
Answer: g(x)-f(x)=-x³-3x-3
Step-by-step explanation:
Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).
x-3-(x³+4x) [distribute -1]
x-3-x³-4x [combine like terms]
-3-x³-3x [rewrite]
-x³-3x-3
Now, we know that g(x)-f(x)=-x³-3x-3.
Mr. Weston boughtn,new microscopesn for his science classroom. each microscope cost $99.90, and he spent a total of $499.50 how many nicroscopesn,did Mr Weston buy?
Answer:
5
Step-by-step explanation:
Take the total amount spent and divide it by the cost of each microscope.
$499.50 ÷ $99.90 = 5
Answer:
5
Step-by-step explanation:
At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is
driven.
Answer:
.75x+35
Step-by-step explanation:
you multiply how ever many times you would add .75 in this case you dont know so u would put and x there and 35 is your starting point
need help!! which is tight?
Answer:
65°
Step-by-step explanation:
Complimentary angles are two angles that add up to 90°
So, to find the unknown angle, simply subtract 25 from 90.
90-25=65
The other angle is 65°
10 – 9 x 24 ÷ 8 x 6 Solve With Pemdas
Answer:
The answer is − 152
Step-by-step explanation:
That was found using PEMDAS.
Answer:
-152
Step-by-step explanation:
use pemdas method
Ashley's Internet service is terribly unreliable. In fact, on any given day, there is a 25 % chance that her Internet connection will be lost
at some point that day. What is the probability that her Internet service is not broken for five days in a row? Enter a fraction or round
your answer to 4 decimal places, if necessary.
Answer:
The probability that her internet service will not be broken for five days in a row is 243/1024
Step-by-step explanation:
Here, we want to calculate the probability that her internet service is not broken for five days in a row
Let the event that her internet will be broken be B and the event that her internet will not be broken be N
P(B ) = 25% = 0.25
P(N) = 1-0.25 = 0.75 = 3/4
Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)
= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024
What is a complementary angle versus a supplementary angle?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Factor by grouping.
8y2 + y + 40y + 5
Help me solve this problem.
We can write an equation to resemble the problem.
1160 = 170 + 50x
x equals the number of boxes he is carrying.
Solve for x.
1160 = 170 + 50x
990 = 50x
19.8 = x
We can't round up because that will be to much weight. So, we are going to round down.
19.8 -> 19
Therefore, the answer is 19.
Best of Luck!
Answer: 19 boxes
Step-by-step explanation: Subtract the delivery person to get 990 lbs. then divide by 50 to get 19.8, but since we can't have 0.8 of a box and 20 boxes we go over, 19 boxes is the correct answer.
Is the open sentence 3z = 2z + 5 true or false when z = 5? A.True B.False
Answer:
3z = 2z + 5
when z=5
3*5=2*5+5
15=15
so true
Step-by-step explanation:
Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D
Answer:
D
Step-by-step explanation:
♡ The Question ♡
Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be the first choice, A!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips provided!
"If four shirts cost $112, how much will 10 shirts cost? Assume all the shirts are the same price."
Answer:
$280
Step-by-step explanation:
4 shirts = $112
1 shirt = $112 ÷ 4
= $28
10 shirts = $28 × 10
= $280
Answer:
Step-by-step explanation:
112/4= $28 each
$28 x 10 shirts = $280
The zeroes of the function are
The answer is -2 , 0, and 4
If a container of liquid contains 40 oz of solution, what is the number of ounces of pure acid if the given solution contains the following acid concentrations? (a) 20% (b) 15% (c) 40% (d) 60%
Answer:
(d) 60% hope this helped
14
13. MR1 Make Sense and Persevere
Ms. Wilson bought two bags of pet
fish for her twin nieces. Each bag has
g gupples and one tetra. She also
bought one box of fish food that cost d
dollars. Write an algebraic expression to
represent how much she paid in all.
Answer:
67thnhttbny
Step-by-step explanation:
An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The following represents the items bought
Each bag has g gupples and one tetra.
She also bought one box of fish food that cost d dollars.
The expression that represents the items in a bag will be;
bag = g + 1
So, the total spent on fish food is:
2(g + 1)
Fish food
A box costs d dollars.
This means that, the total amount Ms. Wilson spent in the store is 2(g+ 1) + d
An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.
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which is right??????
Answer:
Point D
Step-by-step explanation:
To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D
Round 452,906 to the nearest hundred thousand, ten thousand, thousand, hundred, ten
Rounding 452,906 to each place is
(a) to nearest hundred thousand is 500,000
(b) to nearest ten thousand is 450,000
(c)to nearest thousand is 453,000
(d) to nearest hundred is 452,900
(e) to nearest tens is 452,910
Given :
Round the number 452,906 to each place given below
(a) Round to nearest hundred thousand
In the given number , 4 is in hundred thousand's place
To round to nearest hundred thousand, we look at the number in ten thousands place that is 5. 5 is equal to 5. So we add 1 with the number in hundred thousand . write 0 in remaining places
452,906, Round to nearest hundred thousand is 500,000
(b) To round to nearest ten thousand, we look at the number in thousands place that is 2. 2 s less than 5. So we keep 5 in ten thousands place . write 0 in remaining places
452,906, Round to nearest ten thousand is 450,000
(c)To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2 and write 0 in remaining places
452,906, Round to nearest thousand is 453,000
(d) To round to nearest hundred, we have 0 in tens place that is less than 5. So write 9 as it is and 0 in remaining places
452,906, Round to nearest hundred is 452,900
(e) To round to nearest ten , we have 6 in one's place that is greater than 5.
So add 1 with 0 and write 0 in one's place
To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2 and write 0 in remaining places
452,906, Round to nearest tens is 452,910
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The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6
Answer:
y - 6
Step-by-step explanation:
Given
y² - 10y + 24
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)
The factors are - 4 and - 6, since
- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus
y² - 10y + 24 = (y - 4)(y - 6)
Thus the other factor is (y - 6)
(y - 4) and ( y - 6 ) are the factors of the quadratic equation
What do you mean by quadratic equation?The equation ax2 + bx + c=0 in one variable, with a 0, is known as a quadratic equation. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.The answer could be simple or complicated.
The roots of the quadratic equations are
x = [-b ± √ (b² - 4ac)] / ( 2a ) ( 2a )
Since (b2 - 4ac) is positive, we have two real solutions where (b2 - 4ac) is the discriminant.
When the discriminant is 0, there is just one viable option (both answers are the same)
In the case of a negative discriminant, two complicated solutions are obtained.
Let the quadratic equation be expressed as A given the data.
Right now, A is valued at
y² - 10y + 24 be equation (1)
The quadratic equations' roots are
y = [ -b ± √ ( b^2 - 4ac ) ] / ( 2a )
y = 10 ± √ ( 100 ) - ( 4 ( 24 ) ) / 2
y = ( 10 ± √4 ) / 2
y = ( 10 ± 2 ) / 2
As a result, y has two values of 10 + 2 / 2 and 6
And , y = (10 - 2) / 2 y = 4
In addition, the variables in the equation are
( y - 4 ) ( y - 6 ) = y² - 10y + 24
The quadratic equation is therefore resolved.
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