Answer:
Step-by-step explanation:
Factorize 625 & 48
625 = 25 * 25 = 5 * 5 * 5 * 5 = 5⁴
48 = 16 * 3 = 2 * 2 * 2 * 2 *3 = 2⁴ * 3
[tex]\sqrt[4]{625*48} = \sqrt[4]{5^{4} * 2^{4} * 3}=5*2\sqrt[4]{3}[/tex] =[tex]10\sqrt[4]{3}[/tex]
Three-fifths of the employees at Mac's Discount
Grocery are female and one-fourth of the
employees are under the age of 18. If one-third
of the female employees are under the age of 18,
what is the ratio of males over the age of 18 to
males under the age of 18 who work at Mac's
Discount Grocery?
A) 7:4
B) 3:1
C) 4:1
D) 7:1
Let's assume that total employees are x .
Three - fifths of x is female employees .
→ Female employees = 3x/5 .
Then male employees will be :-
→ Male employees = x - 3x/5
So male employees are 2x/5 .
→ Employees under 18 = x/4
→ Female under 18 = one - third of total female employees.
→ Female under 18 = 3x/5 (1/3)
So Female employees under 18 are x/5 .
→ Now male under 18 = x/4 - x/5
So male under 18 are x/20Now male above 18 are = 2x/5- x/20
Male above 18 are 7x/20Ratio of Male above 18 : Male below 18
→ 7x/20 : x/20
→ 7 : 1
So the ratio is 7 : 1 .
6c - 8 - 2c - 16
What is the solution
Answer:
4 (c - 6)
Step-by-step explanation:
Simplify the following:
6 c - 2 c - 16 - 8
Hint: | Group like terms in 6 c - 2 c - 16 - 8.
Grouping like terms, 6 c - 2 c - 16 - 8 = (6 c - 2 c) + (-8 - 16):
(6 c - 2 c) + (-8 - 16)
Hint: | Combine like terms in 6 c - 2 c.
6 c - 2 c = 4 c:
4 c + (-8 - 16)
Hint: | Evaluate -8 - 16.
-8 - 16 = -24:
4 c + -24
Hint: | Factor out the greatest common divisor of the coefficients of 4 c - 24.
Factor 4 out of 4 c - 24:
Answer: 4 (c - 6)
2.7(-5v-8) Polynomials
Answer:
-13.5v-21.6
Step-by-step explanation:
Distribute Rule: a(b+c) = ab+ac
2.7(-5v-8)
= 2.7*(-5v) + 2.7(-8)
= -13.5v-21.6
The angle of elevation of the top of a tree is 60°. If the point of observation is 4m from the foot of the tree. How far is the point from the top of the tree?
Answer:
8m
Step-by-step explanation:
x = hypotenuse since they want the point of observation to the top of the tree
cos 60 = 4/x
x = 4 / cos 60
x = 8m
A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table: Product Function Year 1 (dollars) Year 2 (dollars) Year 3 (dollars) Product 1 g(x) = 2x 2 4 8 Product 2 h(x) = x2 + 12 13 16 21 Based on the data in the table, for which product does the price eventually exceed all others, and why? Product 1, because it has a lower start value Product 2, because it has a greater Year 3 value Product 1, because the function is exponential Product 2, because the function is exponential
Answer:
Product 1, because the function is exponential.
Step-by-step explanation:
If you take set the equation to 9 years. You will see that product one would be 2^9 = 512 and Product 2 would be 9^2 + 12 = 93. Product one will continue to grow exponentially while Product two will not grow as much in comparison.
Answer:
Product 2, because the function is exponential
Step-by-step explanation:
i got it right on my quiz
What is the solution set of the equation using the quadratic formula? x2+6x+10=0 {−3+2i,−3−2i} {−6+2i,−6−2i} {−3+i,−3−i} {−2i,−4i}
Answer:
The solution set of the quadratic function [tex]x^{2}+6\cdot x +10[/tex] is [tex]\{-3+i,-3-i\}[/tex] .
Step-by-step explanation:
Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:
[tex]a\cdot x^{2}+b\cdot x + c = 0[/tex]
Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:
[tex]x_{1,2} = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
Given that [tex]a = 1[/tex], [tex]b = 6[/tex] and [tex]c = 10[/tex], the roots of the polynomial are, respectively:
[tex]x_{1,2} = \frac{-6\pm \sqrt{6^{2}-4\cdot (1)\cdot (10)}}{2\cdot (1)}[/tex]
[tex]x_{1,2} = -3\pm i[/tex]
[tex]x_{1} = -3+i[/tex]
[tex]x_{2} = -3 -i[/tex]
The solution set of the quadratic function [tex]x^{2}+6\cdot x +10[/tex] is [tex]\{-3+i,-3-i\}[/tex] .
The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Answer:
Step-by-step explanation:
Boys : Girls = 7 : 8
Let the number of boy = 7x
The number of girls = 8x
Number of boys after 20% increase = 120% of 7x
= 1.2 * 7x
= 8.4 x
Number of girls after 10% increase = 110% of 8x
= 1.1 * 8x
= 8.8x
After increase in number of boys & girls = 8.4x : 8.8x
= 84 : 88 { reduce to simplest form by giving by 4th table}
= 21 : 22
The quotient of 10 and a number
Answer: Hi!
To make an expression that represents ten and a number being divided (hence, quotient) we will use the variable x for the unknown number:
10 ÷ x
You would use this expression to represent the quotient of 10 and a number.
Hope this helps!
The quotient of 10 and a number is equal to [tex]\frac{10}{n}[/tex].
Let the unknown number be n.In Mathematics, quotient simply means division i.e the division of a particular number by another number.
In this exercise, you will simply divide the value of 10 by n.
Therefore, translating the word sentence into an algebraic expression, we have;
Quotient of 10 and a number is:
[tex]Quotient = \frac{10}{n}[/tex]
Read more: https://brainly.com/question/22970937
tery po
Find the volume of the cylinder.
Either enter an exact answer in terms of or use 3.14 for .
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units 3
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Answer:
150.72 units³
Step-by-step explanation:
volume = πr²h
= 3.14×4²×3
= 150.72
how do I solve this?
Answer:
71°
142°
Step-by-step explanation:
[tex] \because QS \: is \: the \: bisector \: of \: \angle \: PQR\\
\therefore m\angle RQS =m\angle PQS\\
\because m\angle RQS = 71\degree...(given) \\
\huge \red{ \boxed{\therefore m\angle PQS = 71\degree}} \\ \because \: m\angle \: PQR = m\angle PQS + m\angle RQS \\ \because \: m\angle \: PQR = 71\degree + 71\degree \\ \huge \purple{ \boxed{\therefore \: m\angle \: PQR = 142\degree}}[/tex]
What type of graph is this?
complete graph
cycle graph
Answer:
complete graph
Step-by-step explanation:
In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges
hope it helps :)
please mark it the brainliest!
Answer:
it would be a complete graph
Step-by-step explanation:
Select the outlier in the data set.
58
12
74
82
89
95
76
84
98
91
77
85
96
)) If the outlier were removed from the data set, would the mean increase or decrease?
increase
decrease
Answer:
12, Increase
Step-by-step explanation:
12 is by far the lowest in the set, and removing the number would raise the mean.
Printing machine A and printing machine B print the same newspaper printout, but machine B prints at half the rate of machine A. If each machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours, what is the rate of each printing machine
Answer:
The answer is below
Step-by-step explanation:
Let us assume the rate of printing in machine A is x per hour and the rate for machine B is y. Given that machine B prints at half the rate of machine A, therefore:
y = (1/2)x (1)
Also, both machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours. Therefore:
200/x + 200/y = 4 (2)
Put y = (1/2)x in equation:
[tex]\frac{200}{x}+\frac{200}{(\frac{1}{2} )x}=4\\ \\ \frac{200}{x}+\frac{400}{x}=4\\\\Multiply\ through\ by\ x:\\\\200+400=4x\\\\4x=600\\\\x=150[/tex]
Put x = 150 in equation y:
y=(1/2)150 = 75
Therefore the rate of machine A is 150 newspapers per hour while that of machine B is 75 newspapers per hour
A jet travels 2301 miles against the wind in 3 hours and 2811 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind
Answer:
The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.
Step-by-step explanation:
Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:
Against the wind
[tex]v -u = \frac{\Delta x_{1}}{\Delta t_{1}}[/tex]
With the wind
[tex]v +u = \frac{\Delta x_{2}}{\Delta t_{2}}[/tex]
Where:
[tex]v[/tex] - Speed of the jet in still air, measured in miles per hour.
[tex]u[/tex] - Speed of wind, measured in miles per hour.
[tex]\Delta x_{1}[/tex], [tex]\Delta x_{2}[/tex] - Distances travelled by jet against the wind and with the wind, measured in miles.
[tex]\Delta t_{1}[/tex], [tex]\Delta t_{2}[/tex] - Times against the wind and with the wind, measured in hours.
By adding both expressions:
[tex]2\cdot v = \frac{\Delta x_{1}}{\Delta t_{1}}+\frac{\Delta x_{2}}{\Delta t_{2}}[/tex]
[tex]v = \frac{1}{2}\cdot \left(\frac{\Delta x_{1}}{\Delta t_{1}} + \frac{\Delta x_{2}}{\Delta t_{2}} \right)[/tex]
Given that [tex]\Delta x_{1} = 2301\,mi[/tex], [tex]\Delta t_{1} = 3\,h[/tex], [tex]\Delta x_{2} = 2811\,mi[/tex] and [tex]\Delta t_{2} = 3\,h[/tex], the speed of the jet is:
[tex]v = \frac{1}{2}\cdot \left(\frac{2301\,mi}{3\,h}+\frac{2811\,mi}{3\,h} \right)[/tex]
[tex]v = 852\,\frac{mi}{h}[/tex]
The rate of the jet in still air is 852 miles per hour.
Lastly, the rate of the wind is:
[tex]u = \frac{\Delta x_{2}}{\Delta t_{2}}-v[/tex]
[tex]u = \frac{2811\,mi}{3\,h}-852\,\frac{mi}{h}[/tex]
[tex]u = 85\,\frac{mi}{h}[/tex]
The rate of the wind is 85 miles per hour.
A square field has an area of 12,100sqm. Find the
perimeter of the field.
a. 110m
b. 220m
C. 330m
d. 440m
Pls show working
Answer:
440m
Step-by-step explanation:
First you would square root the value 12100 to get one of the length of the square.
[tex]\sqrt{121000}[/tex]=110m
A square has four sides so,
110*4=440m
Answer:
440m
Step-by-step explanation:
Formula of a square's field : a square
So, area is 12,100. Then, let's take this value into the square root.
Now, we found the one edge of this square which is 110m
For finding perimeter, a square has a 4 edge. So, we multiple 110 x 4 = 440m.
3.) If 24 is a multiple of x, and x > 2, which of
the following could also be a multiple of x ?
(A) 5
(B) 11
(C) 14
(D) 16
Step-by-step explanation:
The answer to your question is (D) 16. This is the answer because if count by 16's it goes 16, 24, 36, etc. since 24 is a multiple its could also be x
Question 5 Multiple Choice Worth 4 points)
(08.07 MC)
Jake's tower bed has a length of 10 feet and a width of 19 feet. Which of the following is true?
The area of the flower bed is equal to 10 square feet
The area of the flower bed is larger than 10 square feet
The area of the flower bed is equal to 8 square feet.
The area of the flower bed is smaller than 8 square feet
ANSWER FAST FOR BRAINLY CROWN!!!!
Answer:
The answer is
Step-by-step explanation:
The area of the flower bed is larger than 10 square feet.
Hope this helps....
Have a nice day!!!!
Can someone double check my answers real quick?
Answer:
its correct
Step-by-step explanation:
check
The mass of a bacteria culture doubles every four days. If the initial sample is 5mg: a) how much will you have after one week (7 days). B) how long does it take to reach a mass of 320mg?
Answer:
a) 16.82 mg
b) 24 days
Step-by-step explanation:
Formula for exponential growth is given as:
[tex]A=A_0b^{\frac{t}{c}}[/tex]
Where A is the final population
[tex]A_0[/tex] is the initial population
b is the growth factor
c is the time taken for the growth 'b'
t is the amount of time
Here, We are given the following:
[tex]A_0[/tex] = 5 mg
b = 2 (Given because it doubles)
c = 4 days
a) A = ?
Using the formula:
[tex]A=5 \times 2^{\frac{7}{4}}\\\Rightarrow A=5 \times 2^{1.75} \\\Rightarrow A = \bold{16.82\ mg}[/tex]
b) Given
A = 320 mg
t = ?
Using the above formula again:
[tex]320 = 5 \times 2^{\frac{t}{4}}\\\Rightarrow \dfrac{320} 5= 2^{\frac{t}{4}}\\\Rightarrow 2^{\frac{t}{4}} = 64\\\Rightarrow 2^{\frac{t}{4}} = 2^6\\\Rightarrow \dfrac{t}{4} = 6\\\Rightarrow t = 6 \times 4\\\Rightarrow \bold{t = 24\ days}[/tex]
So, the answers are:
a) 16.82 mg
b) 24 days
Write the slope-intercept form of the vertical line containing (-2,2), if possible
Answer:
x=-2
Step-by-step explanation:
Vertical lines are of the form x=
The x coordinate is -2
x=-2
The median player salary for a professional football team was $446,600 in 2000 and $1,331,948 in 2008. Write a linear equation giving the median salary y in terms of the year x. (Let x = 0 represent 2000.)
Answer:
[tex]y = \$335931.5 + \$110668.5x[/tex]
Step-by-step explanation:
Given
[tex]Salary\ in\ 2000 = \$446,600[/tex] (Median)
[tex]Salary\ in\ 2008 = \$1,331,948[/tex] (Median)
Required
Determine a Linear Equation
The above question illustrates an Arithmetic Progression (AP)
The nth term of an AP is
[tex]T_n = a + (n - 1) d[/tex]
In this case;
[tex]a = Salary\ in\ 2000 = \$446,600[/tex]
[tex]n = 2008 - 2000 + 1 = 9[/tex]
[tex]T_n = Salary\ in\ 2008 = \$1,331,948[/tex]
Substitute these in the given formula
[tex]\$1,331,948 = \$446,600 + (9 - 1) d[/tex]
[tex]\$1,331,948 = \$446,600 + 8d[/tex]
Collect Like Terms
[tex]\$1,331,948 - \$446,600 = 8d[/tex]
[tex]\$885348 = 8d[/tex]
Divide both sides by 8
[tex]d = \$110668.5[/tex]
The linear equation is generated as follows;
[tex]T_n = a + (n - 1) d[/tex]
In this case;
[tex]a = Salary\ in\ 2000 = \$446,600[/tex]
[tex]d = \$110668.5[/tex]
[tex]T_n = y[/tex]
[tex]n = x[/tex]
Substitute these in the given formula
[tex]y = \$446,600 + (x - 1) * \$110668.5[/tex]
Open bracket
[tex]y = \$446,600 + \$110668.5x - \$110668.5[/tex]
Collect Like Terms
[tex]y = \$446,600 - \$110668.5 + \$110668.5x[/tex]
[tex]y = \$335931.5 + \$110668.5x[/tex]
Hence, the linear equation is
[tex]y = \$335931.5 + \$110668.5x[/tex]
Dimensional analysis: 1.35 kilometers per second= ? miles per hour
Answer:
Hey there!
1.35 km/s would equal 3020 miles per hour.
Let me know if this helps :)
Answer:
50.2 miles/h.
Step-by-step explanation:
Turn km to miles:
1 km = 0.621 miles
1.35 km = ?
1.35 × 0.621 = 0.838 miles/s
0.838 miles = 1 second
? = 1 hour
1 hour = 60 minutes
60 × 0.838
= 50.28 miles/h
Hope this is helpful.
through: (3, 3) and (-5, 4)
Hi,
a line is define by the following equation : y = ax+b
where a is the slope, and b the value for x = 0
so you have : a*3 +b = 3 for the first point
a*(-5) +b = 4 for second point
so you have a system : 3a+b =3
-5a+b = 4
so : 3a+b -(-5a) -b = 3-4
3a+5a +b-b = -1
8a = -1
a = -1/8
then a = -1/8 so , in remplacing a by it's value in one equation , b is : 3(-1/8) +b = 3
-3/8 +b = 3
b = 3 +3/8
b = 24/8 +3/8
b = 27/8
let's check : 3 (-1/8) + 27/8 = -3/8 +27/8 = 24/8 = 3
first point is correct
-5( -1/8) + 27/8 = 5/8 +27/8 = 32/8 = 4
second point is correct
line is y = -1/8X +27/8
alma walks around her neighborhood according to the path below. in total, she walks 50 blocks.
A. Write an equation that represents Alma's walk.
B. Solve the equation for x.
Answer:
Hey there!
The equation is x+2x+5+6x-17+3x+2, or 12x-10
12x-10=50
12x=60
x=5
Let me know if this helps :)
What is 3/4 divided by 4/15
Answer:
2.8125
Step-by-step explanation:
In STU, M\S = (6x – 15)°, m\T = (2x − 2)°, and m\U = (4x – 7). What is the value of x? [( pic added above])
Answer:
Hey there!
I see you have to right idea, the first step is to write the equation: 6x-15+2x-2+4x-7=180. We can simplify this to 12x-24=180
Solving for x, we get that x=17.
Let me know if this helps :)
The value of x is 17.
What is Angle Sum Property?According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.
Given:
<S = (6x – 15)°, <T = (2x − 2)°, and <U = (4x – 7).
Now, Using Angle Sum Property
<S+ <T + <U= 180
6x - 15 + 2x -2 + 4x - 7= 180
12x - 24= 180
12x = 204
x= 204/12
x= 17
Hence, the value of x is 17.
Learn more about angle sum Property here:
https://brainly.com/question/4316040
#SPJ5
1.) 3/9 + 2/9
2) 7/6 + 1/6
3.) 2/8 + 3/2
4.) 1/9 + 2/3
can you help I have to add fractions ..
Answer:
1. 5/9
2. 8/6 or 1 and 2/6
3. 1 3/4
4. 7/9
What is the value of 30 minus 2 (7 + 2) minus 1? I NEED THIS PLZ I NEED HELP!!!!!!
Answer:
11
Step-by-step explanation:
Add 7 and 2: 7 + 2 = 9Plug 9 in: 30 - 2(9) - 1Multiply 2 and 9: 2 × 9 = 18Plug 18 in: 30 - 18 - 1Subtract the remaining numbers from each other: 30 - 18 - 1 = 11You're done! Therefore, the answer is 11.
Answer:
11
Step-by-step explanation:
I know this has already been answered but I need points, lol. i would add the step by step explanation but someone has already done so, so i dont feel the need to.
gothychan
What is the diffrence between expression and an equation? I also need an example
Answer:
The difference between an expression and an equation is that an expression has no equal sign whereas an equation does.
Step-by-step explanation:
Someone me help plz!!!
Answer:
(D) [tex]3 \pm i\sqrt{3}[/tex]
Step-by-step explanation:
We can solve this using the quadratic formula, where a is 1, b is -6, and c is 12.
[tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\frac{-(-6)\pm\sqrt{6^2-4\cdot1\cdot12}}{2\cdot1}\\\\\frac{6\pm\sqrt{36-48}}{2}\\\\\frac{6\pm\sqrt{-12}}{2}\\\\\frac{6\pm i\sqrt{12}}{2}\\\\3\pm i\sqrt{3}\\\\[/tex]
Hope this helped!