Answer:
3270
Step-by-step explanation:
List all factors of 72
Answer:
1,2,3,4,6,8,9,12,18,24,36,72.
Step-by-step explanation:
What you are looking for are numbers that multiply by each other to equal 72, like 1 and 72 or 8 and 9. Factor tree may help, search it up :)
Solve and check please help ty
so wt's the question of this pic?
How much water do you add:
To make 25% sugar syrup using 15g of sugar?
Answer:
amount of water required = 45 g
Step-by-step explanation:
Answer:
45g
Step-by-step explanation:
Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a
rectangle using all the rope Ashley has with her?
14 m x 10 m
70 m × 70 m
60 m x 10 m
55 mx 10 m
Solve for m:
14m = 35
A. m = 5/3
B. m = 3/4
C. m = 2/5
D. m = 5/2
Answer:
D. m = 5/2
Step-by-step explanation:
35 / 14 = m
35 / 14 = 2.5
2.5 as a fraction is 5/2
The equivalent value of m is given by the expression m = 5/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To solve for m, we need to isolate m on one side of the equation by dividing both sides by 14:
14m/14 = 35/14
Simplifying, we get:
m = 35/14
On further simplification of the equation , we get
m = (35/7)/(14/7)
m = 5/2
Hence , the equation is m = 5/2.
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13+(x+8) plz i need help
Answer:
21+x
Step-by-step explanation:
Because this does not equal anything, we can't solve for x. Instead, we can just simplify the equation. Since there is a + sign to the left of the parentheses, it shows that we do not need to distribute.
13+(x+8)
21+x
Hope this helps!! Have a nice day ^^
Answer:
First off you would distribute the invisible positive 1 to the x and 8
Then you will get 13+x+8
Last add 13 and 8 to get 21
Your final answer is 21+x
Step-by-step explanation:
Simplify the expression 3s - 3s 35 - 3s =
Answer:
6s-35
Step-by-step explanation:
not sure
Round 13.045 to the nearest whole number.
Answer:
13. it says nearest whole number.
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
Answer:
f(-3) = g(-3)
Step-by-step explanation:
f(-3) = -4
g(-3) = -4
Therefore, they intersect at that point.
I need help please rndnddmdndnxxnxx
9514 1404 393
Answer:
a) f(-2.5) = 62.6875; f(-1.5) = -13.0625; (-2.5, -1.5) contains a real root
b) there are 1 each of positive and negative real roots; 2 complex roots
c) -2 and 1/3 are the rational real roots
d) x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}
Step-by-step explanation:
a) f(-2.5) = 62.6875; f(-1.5) = -13.0625. The function changes sign between -1.5 and -2.5, so there is a real root in that interval.
__
b) The given coefficients have one sign change, so there is one positive real root. Changing the signs of odd-degree terms makes the signs + - + - -, so there are three sign changes. There are 1 or 3 negative real roots, and possibly 2 complex roots. The constant term is non-zero, so zero is not a root. Here's your table:
positive real roots: 1
negative real roots: 1 or 3
complex roots: 2 or 0
zero roots: none
The graph is attached. It shows 2 real roots, one positive and one negative, so there are 2 complex roots. (There are 4 roots in total, so if only 2 are real, the other 2 are complex.)
__
c) Possible rational roots are of the form ...
±{1, 2}/{1, 3, 9}
Listed, they are ...
±{1/9, 2/9, 1/3, 2/3, 1, 2}
The actual real roots are -2 and 1/3.
__
d) The graph shows the real roots to be -2 and 1/3. The original leading coefficient of 3 is the product of the leading coefficients of the factors. Writing the factor (x -1/3) as (3x -1) lets us reduce the leading coefficient of the quadratic term from 9 to 3. The result of dividing factors (x+2) and (3x-1) from the original function is shown in the attachment. It is a parabola with vertex (-1/3, 2/3), so the factorization is ...
f(x) = (x +2)(3x -1)(3(x +1/3)² +2/3)
The roots of the quadratic term are ...
3(x +1/3)² = -2/3
x +1/3 = ±√(-2/9)
x = (-1 ±i√2)/3
So, the entire list of roots is ...
x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}
_____
Additional comment
The roots of a quadratic are easily found by knowing its leading coefficient and its vertex. If factoring known real roots from a higher-degree polynomial results in a quadratic, then the remaining complex roots are easily found. A graphing calculator is a wonderful tool for this process.
Your class is in groups, working on a combinatorics worksheet. One of the questions asks how many possible ways 5 books out of a box of 12 can be placed on a shelf. Your classmate suggests you calculate 12C5, which is 792. What would you say to explain how this suggestion is flawed, and how would you help correct them
Answer: 95040
Step-by-step explanation:
It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)
Hence, to arrange 5 books from a total of 12 books on a book shelf is
nCr * r!
12C5 * 5!
792 * 120
= 95040
4.)Given m = 1/2 and the point (3, 2), which of the following is the point-slope form of the equation?
y - 2 = 1/2(x - 3)
y + 3 = 1/2(x + 2)
y - 3 = 1/2(x - 2)
y + 2 = 1/2(x + 3)
Answer:
y - 2 = 1/2(x - 3)
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Determine wether the following statement is always, sometimes, or never true. A regular polygon has all sides and angles congruent.
Answer:
most likely always. either that or sometimes I hope that answers your question!
Four angles are shown below. Recall that an angle completing a full rotation measures 2π radians.

Angle A represents ____ of a full rotation.
Therefore, Angle A has a measure of___ radians.
Angle B represents___ of a full rotation.
Therefore, Angle B has a measure of ____ radians.
Angle C represents____ of a full rotation.
Therefore, Angle C has a measure of ___radians.
Angle D represents_____ of a full rotation.
Therefore, Angle D has a measure of ___radians.
Answer:
Step-by-step explanation: Angle A is 45 degrees so it represents 1/8 of a rotation. so it has a measure π/4 rads. Angle B is 90 degrees so it represent 1/4 of a rotation. so it has a measure of π/2 rads. Angle C represents 180 degrees so that represent 1/2 of a rotation so it has a measure of π rads. Angle D is 270 degrees so it represents 3/4 of a rotation . Therefore, Angle D has a measure of 6π/4.
The for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.
What is an angle?The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.
From the figure attached:
Angle A represents 1/8 of a full rotation. Therefore, Angle A has a measure of π/4 radians.
Angle B represents 1/4 of a full rotation. Therefore, Angle B has a measure of π/2 radians.
Angle C represents 1/2 of a full rotation. Therefore, Angle C has a measure of π radians.
Angle D represents 3/4 of a full rotation. Therefore, Angle D has a measure of 6π/4 radians.
Thus, the for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.
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What is a natural number and what is a whole number? Explain..
Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purpose. It does not include zero. In fact, 1,2,3,4,5,6,7,8,9…., are also called counting numbers excluding zero, fractions, decimals and negative numbers.
The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.
Natural numbers are also all numbers 1, 2, 3,4.. and so on. They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart, -4, -3, -2, -1, 0,1, 2, 3, 4,…
So in all these words, this means that natural numbers are all the numbers not including 0 and negative and whole numbers are all the numbers including 0 and negative.
97 - 3 + 5³ ÷ 25 × 2 ×3² =
Answer:
139
Step-by-step explanation:
PEMDAS or Order of Operations
Complete the statement with <, >, or=.
PLEASEE HELP
Answer:
< LK
Step-by-step explanation:
The higher the angle, the bigger the opposite side, so since 123 is bigger than 114, LK is bigger than MN
Symify 9 to the 2 power / 9 to the 7 power
9514 1404 393
Answer:
1/9^5
Step-by-step explanation:
[tex]\dfrac{9^2}{9^7}=\dfrac{9\cdot 9}{9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9}=\dfrac{1}{9\cdot 9\cdot 9\cdot 9\cdot 9}=\boxed{\dfrac{1}{9^5}}[/tex]
_____
An exponent is an indicator of repeated multiplication. As you can see, factors in the numerator cancel those in the denominator, so the result is the difference of the exponents.
he line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?
A. -2
B. -1
C. 2
9514 1404 393
Answer:
C. 2
Step-by-step explanation:
When the coefficients of the standard-form quadratic are a, b, and c, the equation of the line of symmetry is ...
x = -b/(2a)
Solving for 'a', we find ...
a = -b/(2x)
For the given values b=-8 and x=2, the value of 'a' is ...
a = -(-8)/(2·2) = 8/4 = 2
The value of "a" is 2.
A line has a slope of 1/9 and passes through the point (6, 6). What is its equation in point- slope form?
4. If 4 bananas weigh 4 4/5 kilograms , how
many kilograms would you expect 3
bananas to weigh?
A.
//
C. 3
B. 1
}
D. D.8
Answer:
It's the same process, change 4 4/5 to an improper fraction = 24/5 then set up a proportion
4 bananas/(24/5) kg = 3 bananas/x kg take cross products
4x = 3 (24/5) = 72/5 divide by 4 (this is the same as multiplying by 1/4)
x = 72/20, change this to a mixed number = 3 12/20 = 3 3/5 kg
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 17.6 cm and a base with a
diameter of 16.4 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
1239.3 cm^3
Step-by-step explanation:
The volume of a cone is 1238.7 cm³.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is (1/3)πr²h.
We have,
Height = 17.6 cm
Diameter = 16.4 cm
Radius = 16.4/2 = 8.2 cm
Now,
The volume of a cone = (1/3)πr²h.
V = 1/3 x 3.14 x 8.2 x 8.2 x 17.6
V = 1238.87 cm³
Thus,
The volume of a cone is 1238.7 cm³.
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Simplify the expression: 2x + 1 + 7x
O 10
O 10x
O 9x + 1
O 9 + 1x
Answer:
9x+1
Step-by-step explanation:
2x+1+7x
2x+7x+1
9x+1
(+50)x(-10)
Respuesta, explicación, operación completa
Answer:
-500
Step-by-step explanation:
PLEASE HELP WITH THESE QUESTIONS I HAVE 5 MINUTES LEFT
What is 4 superscript 5 written in expanded form?
O 4 + 4 + 4 + 4 + 4
O 4 times 4 times 4 times 4 times 4
O 5 + 5 + 5 + 5
O 5 times 5 times 5 times 5
Answer:
4+4+4+4+5
Step-by-step explanation:
is 5 times the number only expanded
Answer:
4+4+4+4+5
Step-by-step explanation:
Write the following numbers in order of size.
Start with the smallest number.
0.3
1/3
21%
1/4
0.205
Answer:
0.205, 21%, 1/4, 0.3, 1/3
Step-by-step explanation:
Hi! How I was taught to do these was convert them all into percentages.
0.3 ---> 30%
1/3 ---> 33.33%
21% ---> 21%
1/4 ---> 25%
0.205 --> 20.5%
Now that we have these, order from least to greatest. Make sure you use the form it gave you in the question!
The selling price of an item is $650. It is marked down by 20%, but this sale price is still marked up from the cost of $400. Find the markup from cost to sale price
Answer: 10%×$650=$585
$585-$450=$135 Mark up.
HOPE THIS HELPS
150 meters is 30% of __________ meters. PLS HELP
Answer:
500
Step-by-step explanation:
150(100) = 15000 / 30 = 500
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
2x+30 = 90 (Choice A)
Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.
On a coordinate plane, a line goes through points (negative 2, 0) and (0, negative 1).
The graph shown is y =
x +
.
Answer:
[tex]m = -\frac{1}{2}[/tex]
[tex]y\ intercept = -1[/tex]
[tex]y = -\frac{1}{2}x -1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-2,0)[/tex]
[tex](x_2,y_2) = (0,-1)[/tex]
Required
Determine the slope and y intercept from graph
To calculate the slope, we have:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-1-0}{0 - (-2)}[/tex]
[tex]m = \frac{-1}{0 +2}[/tex]
[tex]m = -\frac{1}{2}[/tex]
The y intercept is when [tex]x = 0[/tex]
So,
[tex]y\ intercept = -1[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -\frac{1}{2}(x - (-2)) + 0[/tex]
[tex]y = -\frac{1}{2}(x - (-2))[/tex]
[tex]y = -\frac{1}{2}(x +2)[/tex]
[tex]y = -\frac{1}{2}x -\frac{1}{2}*2[/tex]
[tex]y = -\frac{1}{2}x -1[/tex]
See attachment for graph
Answer:
The graph shown is y = -1/2
x +-1 .
Step-by-step explanation:
did on edge