Answer:
nineteen
Step-by-step explanation:
120 people = 15 pies
divide both sides by 120
1 person = 15/120 pies
152 people = 15/120 x 152 pies
= 15/30 x 38 = 1/2 x 38 = 19
To find the answer, you divide 120 by 15, which is 8.
Here is a cube.
Area = 4x(squared)
The area of a face of the cube is 4x(squared).
Write an expression for the total surface area of the cube. Write your answer as simply as possible.
Answer:
Step-by-step explanation:
A cube has 6 faces. Area of one face is 4x². To find the total suface area of cube, multiply 4x² by 6
Area of cube = 6 * 4x²
= 24x²
What is the x-intercept of 4x+6y= 24
Answer:
i think its between 2-5
Step-by-step explanation:
-2/3(x+12)+2/3x= -5/4x +2
show your work thanks! :)
Answer:
Step-by-step explanation:
Solve this equation for
ab – ac = 1 for b
Answer:
a= 1/b-c
Step-by-step explanation:
What does folding paper have to do with exponents? (Currently struggling please help
Answer:
The thickness of the paper doubles each fold: it's an exponential growth.
Step-by-step explanation:
Simplify the following completely and show your work: -5x2(2x2 - 4x - 12)
Answer:
80+40x
Step-by-step explanation:
-5x2(2x2-4x-12)
-10(2x2-4x-12)
-20-20+40x+120
-40+120+40x
80+40x
3sqrt x =x-4
[tex]3 \sqrt{x} = x - 4[/tex]
solve for x
Answer:
x = 16
Step-by-step explanation:
3√x = x - 4
Raise the equation to the second power.
(3√x)² = (x - 4)²
9x = x² - 8x + 16
Rewrite the equation with the values on the left.
-x² + 17x - 16 = 0
x² - 17x + 16 = 0
Factor.
(x - 16)(x - 1) = 0
Set each part equal to 0.
x - 16 = 0
x = 16
x - 1 = 0
x = 1
Your solutions are 16 and 1, but it doesn't end there. Both of these may not satisfy the original equation, so plug them back in.
3√x = x - 4
3√16 = 16 - 4
3(4) = 12
12 = 2
16 is a solution.
3√x = x - 4
3√1 = 1 - 4
3(1) = -3
3 ≠ -3
1 is NOT a solution.
What is a fraction that is more than 1/10 but less than 1/2
A solid wooden post in the shape of a right rectangular prism measuring 10 cm by 12
cm by 30 cm is drilled with a cylindrical hole of radius 2 cm. Find the volume of the
post after the hole has been drilled. Round your answer to the nearest tenth if
necessary?
The volume of the post = volume of rectangular prism - volume of cylindrical hole = 3,223.0 cm³.
What is the Volume of a Rectangular Prism?Volume = (l)(w)(h)
What is the Volume of a Cylinder?Volume = πr²h
Volume of the post = volume of rectangular prism - volume of cylindrical hole
= (l)(w)(h) - πr²h
= (10)(12)(30) - π(2²)(30)
Volume of the post = 3,223.0 cm³
Learn more about volume of rectangular prism on:
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If a1= 5 and an = 2an-1 + 5 then find the value of a4.
Answer:
a₄ = 75
Step-by-step explanation:
using the recursive formula and a₁ = 5 , then
a₂ = 2a₁ + 5 = 2(5) + 5 = 10 + 5 = 15
a₃ = 2a₂ + 5 = 2(15) + 5 = 30 + 5 = 35
a₄ = 2a₃ + 5 = 2(35) + 5 = 70 + 5 = 75
Answer:
[tex]a_4=75[/tex]
Step-by-step explanation:
Given:
[tex]a_1=5[/tex][tex]a_n=2(a_{n-1})+5[/tex][tex]\implies a_2=2(a_1)+5=2(5)+5=15[/tex]
[tex]\implies a_3=2(a_2)+5=2(15)+5=35[/tex]
[tex]\implies a_4=2(a_3)+5=2(35)+5=75[/tex]
What is 2 log subscript 5 baseline (5 x cubed) one-third log subscript 5 baseline (x squared 6) written as a single logarithm?
The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].
What is a logarithm?Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.
The logarithmic expression is given as
[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]
We know that formulas
[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]
Then we have
[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]
More about the logarithm link is given below.
https://brainly.com/question/7302008
find the slope of the line through the given points 4,2 and 6,4
Answer:
2/2 = 1
Step-by-step explanation:
Slope intercept equation:
y2 - y1 / x2 - x1 = slope
the graphs of the functions f(x)=|x-3| + 1 and G(x)=2x + 1 are drawn. which statement about these functions is true?
A: The solution to f(x)=g(x) is 3
B: The solution to f(x)=g(x) is 1
C: The graphs intersect when Y=1
D: The graphs intersect when X=3
The only true statement that compares the two functions is:
B: The solution to f(x)=g(x) is 1
Which statements are correct?Here we have the functions:
f(x) = |x - 3| + 1
g(x) = 2x + 1
First, let's find the solution for:
f(x) = g(x)
|x - 3| + 1 = 2x + 1
|x - 3| = 2x
Notice that we have two options, x = 3:
|3 - 3| = 2*3
0 = 6 (x = 3 is not a solution)
And x = 1:
|1 - 3| = 2*1
2 = 2 (x = 1 is a solution).
Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;
f(1) = |1 - 3| + 1 = 2 + 1 = 3
The graphs intersect when y = 3.
Then we conclude that the only true statement is:
B: The solution to f(x)=g(x) is 1
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
How many sets of three consecutive integers are there whose sum is between 51 and 60?
Answer:
4 sets
Step-by-step explanation:
16 + 17 + 18 = 51
17 + 18 + 19 = 54
18 + 19 + 20 = 57
19 + 20 +21 = 60
f(x) = -2(3)^ x-2
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is_
The end behavior of f(x) is -
f(3) =
f(4) =
hi my name not Jeff. ok?
Step-by-step explanation:
hi im not jeff
Given line segment AB with endpoints A(-1, 7) and B(11, -1)
Find the length of AB
The length of the segment AB is the number of units on AB, and the length of segment AB is 14.4 units
How to determine the length of segment AB?The points are given as:
A = (-1,7)
B = (11,-1)
The length of the segment is then calculated using:
AB = √(x₁ - x₂)² + (y₁ - y₂)²
So, we have:
AB = √(-1 - 11)² + (7 + 1)²
Evaluate the exponent
AB = √144 + 64
Evaluate the sum
AB = √208
Evaluate the exponent
AB = 14.4
Hence, the length of segment AB is 14.4 units
Read more about length at:
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#SPJ1
After trick-or-treating, Juan counted his candy. He collected 25 pieces of candy and noticed that 2/5 of the candy was chocolate. How many pieces of Juan’s candy were chocolate?
Instructions: Use the image and your knowledge of the
isosceles triangle to find the value of x.
Answer:
Step-by-step explanation:
In Isosceles triangle base angles (angles oppoiste to equal sides) are congruent.
x + x + 98 = 180 {Angle sum proeprty of triangle}
2x + 98 = 180 {Subtract 98 from both sides}
2x = 180 - 98
2x = 82 {Divide both sides by 2}
x = 82/2
x = 41
Answer:
x = 41°
Step-by-step explanation:
An isosceles triangle has 2 opposite sides equal.
Therefore the angle opposite x is also x
Hence:
x + x + 98° = 180° (angles in a triangle add up to 180°)
2x + 98° = 180°
2x = 180° - 98°
2x = 82°
2x/2 = 82°/2
x = 41°
Find the mean
X. 10 20 30 40 50 60
F. 4 5 6 2 3 5
Answer:
Mean:To find the mean, you must add all the given numbers in your data then divide the sum of that by the many numbers you added together.X.
10, 20, 30, 40, 50, 60
Add them:
10 + 20 + 30 + 40 + 50 + 60
= 210
Then divide that sum by the many numbers there are, and there are 6 numbers in which we added.
210 ÷ 6
= 35, the mean for this is 35.
F.
4, 5, 6, 2, 3, 5
Add them:
4 + 5 + 6 + 2 + 3 + 5
= 25
Then divide that sum by the many numbers there are, and there are 6 numbers in which we added.
25 ÷ 6
= 4.1666..., the mean for this is 4.17.
pls help the question is here (12points) DUE TO DAY
Answer:
[tex]\bf Area= 90\;in[/tex]
Step-by-step explanation:
Area of ABCD = L * W
[tex]\bf 6\times 12[/tex]
[tex]\bf 72 \;in^2[/tex]
Area of EFGC:- L * W
[tex]\bf 6 \times 3[/tex]
[tex]\bf 18\; in^2[/tex]
Now, the area of the combind rectangles:-
ABCD + EFGC
[tex]\bf 72+18[/tex]
[tex]\boxed{\bf 90\; in}[/tex]
PLEASE HELP!!
Solve x^2=81 and x^2-18x=7.
Please show your work!
Answer:
x² = 81 , x = ± 9
x² - 18x = 7 : x = 9 ± √(22)
Step-by-step explanation:
x² = 81
simply take the square root of both sides
x = ± 9
x² - 18x = 7
This question is a bit more complicated as there is a variable with a power as well as a variable with no power. To solve for x we are going to have to put the equation in quadratic form then solve using the quadratic equation
x² - 18x = 7
put the equation in quadratic form by subtracting 7 from both sides so that the equation is equal to 0
x² - 18x - 7 = 0
we can now solve for x using the quadratic equation
recall the quadratic equation : [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
where the value of a,b and c are derived from the equation
remember the equation is in quadratic form ax² + bx + c = 0
so ax² + bx + c = 0 : x² - 18x - 7 = 0
knowing this we can assign variables, a = 1 , b = -18 and c = -7
now we plug in the variables into the quadratic equation
recall equation : [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
a = 1 , b = -18 and c = -7
plug in values
[tex]x=\frac{-(-18)+\sqrt{(-18)^2-4(1)(-7)} }{2(1)}[/tex]
remove parenthesis
[tex]x=\frac{18+\sqrt{(-18)^2-4(1)(-7)} }{2(1)}[/tex]
simplify exponent
[tex]x=\frac{18+\sqrt{324-4(1)(-7)} }{2(1)}[/tex]
simplify multiplication in square root and on denominator
[tex]x=\frac{18+\sqrt{324+28} }{2}[/tex]
simplify addition
[tex]x=\frac{18+\sqrt{352} }{2}[/tex]
simplify radical
[tex]x=\frac{18+4\sqrt{22} }{2}[/tex]
simplify fraction
[tex]x=9+or-\sqrt{22}[/tex]
and we are done!
Find the area please!!!
Answer:
32.24
Step-by-step explanation:
To get the height, use Pythagoras theorem on the smaller triangle
8^2=2^2+x^2
x^2=64-4
x=√60=2√15.
then for the base use P.T for the bigger triangle
10^2=y^2+√60^2
y^2=100-60
y=√40=2√10
1/2×(2√10+2)×2√15
=32.24
Simplify.
(7sqrt(2))(3sqrt(3))
A sqrt(14) * sqrt(9)
B. 10sqrt(5)
C. 21sqrt(6)
D. 10sqrt(6)
E. 63
Answer:
21sqrt(6)
Step-by-step explanation:
Hope it helps......
The quadratic functions f(x) and g(x) are described as follows: f(x) = −4x2 5 x g(x) 0 0 1 1 2 5 3 1 4 0 which of the following statements best compares the maximum value of the two functions? the maximum value is the same for both functions. f(x) has a greater maximum value than g(x). g(x) has a greater maximum value than f(x). the maximum values cannot be determined.
Then the maximum value of both the quadratic functions is the same. Then the correct option is A.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadratic functions f(x) and g(x) are described as follows:
f(x) = −4x² + 5
x g(x)
0 0
1 1
2 5
3 1
4 0
The value of x for which f(x) will be maximum
[tex]\begin{aligned} \dfrac{d}{dx} \ f(x) = 0\\\\\dfrac{d}{dx} \ (-4x^2 + 5) = 0\\\\-8x =0\\\\x = 0 \end{aligned}[/tex]
Then the maximum value of f(x) will be
f(x) = −4(0)² + 5
f(x) = 5
Then the maximum value of both the functions is the same.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Answer:
The maximum values is the same for both functions.
Step-by-step explanation:
I took the test on flvs and got it right. And it should be correct too on other places like flvs. Hope this helps.
(please don't report me for advertisement of other websites. I believe how I have put it doesn't break that rule.)
Sal recorded the number of crackers in each snack-sized package he opened. a number line goes from 5 to 15. the whiskers range from 7 to 15, and the box ranges from 7 to 10. a line divides the box at 9. which statement must be true according to the box plot? the data is symmetric, and the lowest number of crackers in a package was 7. the data is symmetric, and the lowest number of crackers in a package was 8. the data is skewed, and the lowest number of crackers in a package was 7. the data is skewed, and the lowest number of crackers in a package was 8.
The statement must be true according to the box plot if the data is skewed, and the lowest number of crackers in a package was 7. Option C is correct.
What is a number line?A number line is drawn with numbers equally spaced or sections running the length of it.
A number line should be drawn horizontally and can be extended in any direction indefinitely.
The number line shows the number of crackers lies between 7 and 13. Which is numerically as 7,8,9,10,11,12,13.The number of the digit on the number line skewed is 7.
Hence statement must be true according to the box plot if the data is skewed, and the lowest number of crackers in a package was 7. Option C is correct.
To learn more about the number line refer to the link;
https://brainly.com/question/13189025
Answer:
the answer is C
Step-by-step explanation:
Because im js swag
PLEASE HELP 75 POINTS
Answer:
A because a prism is the only solid they can be used in that way
PLEASE HELP I WILL GIVE BRAINLIEST IF CORRECT
I belive the correct answer would be A because if M and N are the signatures it would make sense to add them. Multiply the signatures by the days, and you have your self an equation. So because we added the first two... Nikkis's petition is still the same so we would have to add hers to M again leaving you with the equation of A.
Hope this helps :)
James and Sarah went out to lunch. The price of lunch for both of them was $60. They tipped their server 30% of that amount. How much did each person pay if they shared the price of lunch and the tip equally?
Answer:
The answer is that they both payed $9.00.
Step-by-step explanation:
The both payed $60.00, and 30% of that is $18.00.
( $60.00*.03=$18.00)
$18.00 divided by two (two people, James and Sarah) is $9.00.
So they both payed $9.00 individually.
PLEASE ANSWER FAST! NO LINKS!
Answer:
the first one
Step-by-step explanation:
absolute value is a number's distance from zero, so distance from zero can not possibly be negative. Therefore, |4x-2|=-6 has no solution.
Answer:
It would be the first one because there is no value of x that makes the equation be true since an absolute value can never be negative.
Step-by-step explanation:
Hope this helps:)....if don't help then sorry for wasting your time and may God bless you:)
Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. which solution would he have found for the equation 3x2 4x = 6?
The value of the quadratic equation is given by the formula. Then the value of x is 0.8968 and negative 2.23.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The equation for the expression is given below.
3x² + 4x = 6
3x² + 4x - 6 = 0
we know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Then we have
[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]
More about the factorization link is given below.
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