Answer:
it takes 48 days for 15 men to work
it takes 16 days for 15/48*16
the answer is 5 men
Answer:
45 men
Step-by-step explanation:
If you 1/3 the amount of time (from 48 to 16 ) to weed the plot, you will need to TRIPLE the number of men to 45 men
What is the area of Victor’s storage space?
The area of victor's storage space is 28 square inches
What is a polygon?A polygon is a plane shape with at least three sides.
Analysis:
Area of storage = area of triangle + area of rectangle
Height of triangle = 5 - 3 = 2 inches
Base of triangle = 12 - 4 = 8 inches
length of rectangle = 5 inches
width of rectangle = 4 inches
Area of storage = 5 x 4 + 1/2 x 8 x 2 = 28 square inches
In conclusion, the area of the storage space is 28 square inches.
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What is the probability of drawing a red card, replacing it, and then drawing an odd card?
4 red 5 blue 6 red 7 blue 8 blue
Answer:
4
Step-by-step explanation:
5
what is 3x+2y=6 ordered pair?
The ordered pair of the equation 3x +2y = 6 will be ( 0,3) and ( 2 , 0).
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
We have an equation 3x + 2y = 6 now the ordered pair of the equation will be found by the graph will be ( 0,3) and ( 2, 0). The graph is also attached with the answer below.
Therefore the ordered pair of the equation 3x +2y = 6 will be ( 0,3) and ( 2 , 0).
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Which expressions are equivalent to the one below? Check all that apply.log(10^7)
The value of expression is 7.
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Given:
[tex]log 10^{7}[/tex]
Now, using property of log
[tex]log b^{a} =[/tex] a log b
So,
[tex]log 10^{7}[/tex]= 7 log 10
As log 10 = 1
[tex]log 10^{7}[/tex]= 7 (1)
[tex]log 10^{7}[/tex]= 7
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The price of one kilograms of apple at a fruit mart is $4.00. If there is a special price this week with a
15% discount, how much do I need to pay if I buy 3 Kg of apple?
solve for y in 1/8^2-3y=2^y-2
The value of y is 2.33924.
What is equation?
An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.
Given:
(1/8)²-3y = [tex]2^{y}[/tex]-2
1/64 - 3y = [tex]2^{y}[/tex]-2
1/64+ 2 = [tex]2^{y}[/tex]+3y
129/2 = [tex]2^{y}[/tex]+3y
Taking log on both side
log 129 - log 2 = y log 2 + 3 log y
2.11 - 0.301 = 0.301 y + 3 log y
1.809 = 0.301 y + 3 log y
1.809/3= 0.1 y + log y
0.603 = 0.1 y + log y
y = [tex]10^{\frac{603-100y}{1000}}[/tex]
y= 2.33924
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Please help me i would really appreciate it, I really dont want to fail the assignment!!!
The ordered pair of the solution for the system of equation area are (2, -3) and (3, -3)
How to solve system of equation?f(x) = x² - 5x + 3
f(x) = -3
Therefore,
-3 = x² - 5x + 3
x² - 5x + 3 + 3 = 0
x² - 5x + 6 = 0
x² - 2x - 3x + 6 = 0
x(x - 2) - 3(x - 2) = 0
(x - 3)(x - 2) = 0
x = 3 or 2
when x = 2
f(x) = 4 - 10 + 3 = -3
when x = 3
f(x) = 9 - 15 + 3 = -3
Therefore, the ordered pair of the solution for the system of equation are (2, -3) and (3, -3)
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Pls answer this asap
Answer:
The correct answer is A
Step-by-step explanation:
2 is exactly 7 units away from -5.
(02.01)
Solve for x: (x+20)/2=3x
Does the table of values below represent a proportional relationship?
x
2
3
4
5
y
10
15
24
25
Answer:
No
Step-by-step explanation:
The constant of proportionality is k = y/x. In this case, k is 5. When you multiply k which is 5 with the x value you should get the y value. You will see that 2 X 5 = 10, 3 X 5 = 15, and 5 X 5 = 25 but 4X 5 is not equal to 24. This means the ordered pair (4, 24) does not lie on the straight line that is formed where all the other ordered pairs (2,10), (3,15), and (5,25) lie.
For a proportional relationship in a table, the k is constant for all the ordered pair x and y values. All the ordered pairs in the table should also lie on the same straight line.
So the answer is no.
the question is below
Answer:
B. $4.75
Step-by-step explanation:
3(4) + 7 = 19
19/4=4.75
Answer:
B
Step-by-step explanation:
First, 3n + 7 while n = 4 then 3*4 = 12 + 7 = 19. Next, you do 19/4 which is
n
equal to 4.75.
I Hope This Helped :D
Add the following two numbers in scientific notation.
Answer:
3.31 x 10^4
Step-by-step explanation:
3.111 x 10^4 is 31110
2 x 10^3 is 2000
31110 + 2000 = 33100 or 3.31 x 10^4
Answer:
b) 3.31 × 10⁴
Explanation:
[tex]\sf \rightarrow \left(3.11\cdot 10^4\right)+ \left(2\cdot 10^3\right)[/tex]
remove parenthesis
[tex]\rightarrow \sf 3.11\cdot \:10^4+2\cdot \:10^3[/tex]
simplify
[tex]\rightarrow \sf 31100+2000[/tex]
add the numbers
[tex]\sf \rightarrow 33100[/tex]
convert to scientific form
[tex]\sf \rightarrow 3.31 \ x \ 10^4[/tex]
Find the values of a and b 3 * 2 = a + b if
value of a = 3
value of b = 2
a + b = 3 + 2 = 5 .
What is the difference between -5 and 3?
Answer:
8
Step-by-step explanation:
3 - -5 = 8
filling space here dont mind this
Which function is increasing at the highest rate? A. B. A linear function on a coordinate plane passes through (minus 1, 3), and (2, minus 3) which intercepts axis at (0.5, 0), and (0, 1) C. A linear function, f, with an x-intercept of 8 and a y-intercept of -4. D. x 1 2 3 4 5 g(x) -5 -4 -3 -2 -1
The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.
The options are given in the image attached with the answer
What is a Function ?A function is a law that relates a dependent variable and an independent variable.
It is asked among the options given , which is increasing at the highest rate.
To increase at a rate , the value of the slope , m should be > 0
For the Option 1
for a straight line function , the slope is given by
m = ( y₂ -y₁)/(x₂-x₁)
m = ( -3 -3)/(2- (-1)) = -6 /3 = -2
Therefore the function is decreasing
For Option 2
12x - 6y = -24
-6y = -12x -24
y = 2x +4
m = 2 (increasing)
For option 3
m = (-4 + 5)/(2-1) = 1
For Option 4
(8,0) (0,-4)
m = (-4 -0) /(0-8) = 4/8 = 1/2
The highest rate on increasing is of 12x -6y = -24
Therefore Option B is the correct answer.
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Solve the equation for 0 <= x < 2pi.
(2sin x - 1)(2cos^2 x - 1) = 0
If
(2 sin(x) - 1) (2 cos²(x) - 1) = 0
then either
2 sin(x) - 1 = 0 or 2 cos²(x) - 1 = 0
sin(x) = 1/2 or cos(2x) = 0
The first equation gives two families of solutions,
x = arcsin(1/2) + 2nπ = π/6 + 2nπ
x = π - arcsin(1/2) + 2nπ = 5π/6 + 2nπ
where n is any integer; we get the solutions x = π/6 and x = 5π/6 in the interval 0 ≤ x < 2π when n = 0.
The second equation also gives two families of solutions,
2x = arccos(0) + 2nπ = π/2 + 2nπ
2x = -arccos(0) + 2nπ = -π/2 + 2nπ
Divide both sides by 2 :
x = π/4 + nπ
x = -π/4 + nπ
Then the solutions we want are x = π/4 and x = 5π/4 (when n = 0 and 1 in the first family, respectively) and x = 3π/4 and x = 7π/4 (when n = 1 and 2 in the second family).
We have 6 solutions, so A is the correct choice.
Which is the simplified form of x-12?
O 12
O
O
*12
12
17/7/22
Applying the negative exponent rule, the simplified form of [tex]x^{-12}[/tex] is: [tex]\frac{1}{x^{12}}[/tex].
What is the Negative Exponent Rule?The negative exponent rule states that, if [tex]x^{-a}[/tex] then, it can be rewritten as, [tex]\frac{1}{x^a}[/tex].
Given the expression, [tex]x^{-12}[/tex], we can apply the negative exponent rule to rewrite the expression in simplified form as:
[tex]\frac{1}{x^{12}}[/tex].
Therefore, expressing [tex]x^{-12}[/tex] in a simplified form will give us: [tex]\frac{1}{x^{12}}[/tex].
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The subject of the formula below is y.
y=X+p-q
Rearrange the formula to make x the subject.
Answer:
x=y-p+q
Step-by-step explanation:
y=x+p-q
x=y-p+q
Can someone help me please?
Answer:
C.
Step-by-step explanation:
The reds are counting up in whole numbers by one integer.
Hope this helps!
If not, I am sorry.
the expression 5 3/2 is equivalent to
to √5³
Step-by-step explanation:
[tex] = {5}^{ \frac{3}{2} } [/tex]
[tex] = \sqrt[2]{ {5}^{3} } [/tex]
[tex] = \sqrt{ {5}^{3} } [/tex]
24. Kyla has 2/7the amount of cherries that Denise has. If Kyla has 46 cherries, how many cherries do they have altogether
Answer:
207
Step-by-step explanation:
Denise has 46(7/2) = 161 cherries.
So, they have a total of 161 + 46 = 207 cherries
HELP ME PLEASE AND JUST GIVE ME THE ANSWER NO EXPLANATION
The missing end of the line segment [tex]\overline {GH}[/tex] whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).
How to locate the missing end of a line segment
In this question we know an end and a midpoint of a line segment. The missing end can be found from the following formula:
M(x, y) = G(x, y) + 0.5 · [H(x, y) - G(x, y)]
M(x, y) = 0.5 · G(x, y) + 0.5 · H(x, y)
0.5 · H(x, y) = M(x, y) - 0.5 · G(x, y)
H(x, y) = 2 · M(x, y) - G(x, y) (1)
If we know that M(x, y) = (5, 3) and G(x, y) = (1, -5), then the coordinates of the point H are:
H(x, y) = 2 · (5, 3) - (1, -5)
H(x, y) = (10, 6) - (1, -5)
H(x, y) = (9, 11)
The missing end of the line segment [tex]\overline {GH}[/tex] whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).
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Answer:
its A
Step-by-step explanation:
The value of x must be greater than
0
1
3
7
Answer:
The value of x should be greater than 3.
Step-by-step explanation:
Given that,
The AB is 12 units.
The AC is 15 units.
We need to find the value of BC.
Based on the above information, the calculation is as follows:
As we know that
The sum of two sides length is always more than the 3rd one.
Based on this,
12 + 15 > x
x < 27
15 + x >12
x >-3
12 + x > 15
x >3
What is the equation of the line that passes through (-3, 4) and (3, -2)?
y = - x - 1
y = x + 7
y = x - 1
y = - x + 1
Answer:
y = -x +1
Step-by-step explanation:
p1 (-3,4)
p2 ( 3, -2)
line equation y = mx + b
The slope m equals
[tex] \frac{y2 - 21}{x2 - x1} [/tex]
[tex] \frac{ - 2 - 4}{3 - - 3} = \frac{ - 6}{6} = - 1[/tex]
y = - x + b
from any point
-2 = -3 + b
b = 1
line equation = y = -x +1
2.2.5a (Part 1): For the graph below, what is the x-intercept? *
-4 -2
2
-2
-4
y
2
4
0 points
X
An x-intercept is the point where the line of a graph passes through the x-axis. Thus, you should look for this point on the given graph.
What is a graph?A graph can be defined as a type of chart that is used for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.
In Mathematics, x-intercept refers to the point where the line of a graph passes through the x-axis as shown in the image attached below. Since the graph wasn't provided for this question, you should look for the point where the line passes or crosses through the x-axis.
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{
5x−y=19
13x−3y=51
Can anybody help me to understand this equation ASAP
Answer:
×=-3
y=-4
Step-by-step explanation:
13×-3y=51
(-) 5×-y=19
-5×+y=-19
13×-3y=51
8×-2y=32
2/8x-2y=32
4x-y=16
4×-y=16
-5×+y=-19
-×=-3
×=3
Answer:
x = 3
y = -4
(3,-4)
Step-by-step explanation:
Hello!
We can use the Elimination Method to solve the system.
To eliminate, we want atleast one variable to have the same coefficients on both equations. To do that, we can multiply the first equation by 3 to get -3y.
[tex]5x - y = 19[/tex][tex]3(5x - y = 19)[/tex][tex]15x - 3y = 57[/tex]Now, we can vertically subtract them to eliminate -3y.
[tex]-\left \{ {{15x - 3y = 57} \atop {13x - 3y = 51}} \right.[/tex][tex]2x + 0 = 6[/tex]Solve for x
[tex]2x + 0 = 6[/tex][tex]2x = 6[/tex][tex]x = 3[/tex]The value of x is 3.
To solve for y, we can plug in 3 into the original first equation and solve for y.
Solve for y
[tex]5x - y = 19[/tex][tex]5(3) - y = 19[/tex][tex]15 - y = 19[/tex][tex]-y = 4[/tex][tex]y = -4[/tex]The value of y is -4.
The solution to the system is (3,-4).
Solve the following quadratic by
completing the square.
y = x2 - 6x +2
Answer: [tex]3 \pm \sqrt{7}[/tex]
Step-by-step explanation:
[tex]1) \text{ } x^{2}-6x+2=0\\\\2) \text{ } x^{2}-6x=-2\\\\3) \text{ } x^{2}-6x+\left(\frac{-6}{2} \right)^{2}=-2+\left(\frac{-6}{2} \right)^{2}=7\\\\4) \text{ } (x-3)^{2}=7\\\\5) \text{ } x-3 =\pm \sqrt{7} \longrightarrow \boxed{3 \pm \sqrt{7}}[/tex]
A cone with radius 2 units is shown below. Its volume is 29 cubic units.
2
h
Find the height of the cone.
Use 3.14 for π and round your final answer to the nearest hundredth.
units
Answer:
It's very interesting 4
Kyla has the number of cherries that Denise has. If Kyla has 46 cherries, how many cherries do they have altogether?
Answer:
92
Step-by-step explanation:
46 + 46 = 92
Please can someone help asap thank you !x
Answer:
Step-by-step explanation:
Gradient is the slope, the rise over run, change in y over change in x.
For line A
6/3=2
Gradient=2
For Line B
5/5 =1
Gradient =1
Answer:
•The coordinates of line A (0,1) and (1,3)
gradient formula : y2-y1/x2-x1
gradient :
3-1/1-0=2
Actually you can take any other coordinates for reference!
example :
the other coordinates of line A (0,1) and (2,5)
=5-1/2-0
=2 (same)
•The coordinates of line B (3,2) and (4,1)
Gradient : =1-2/4-3
=-1
or
the coordinat B =(7,-2) and (-2,7)
=7-(-2)/-2-7
=9/-9
=-1
Note:The line to the right has a positive gradient, and the line to the left has a negative gradient