Hope this helps!
Answer:
k<5
Step-by-step explanation:
All you have to do is divide 2 on each side.
2k < 10
/2 /2
k < 5
I hope this helps, and have a great day! :)
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 18 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?
Answer:
9 weeks
Step-by-step explanation:
divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity
An electrician has 4.1 meters of wire.
a. how many strip 7/10m long can he cut?
b. how much wire will he have left over
In a bag, there are six white balls and four black balls. I take out two balls at random, one at a time, without replacement. What is the probability that the second ball I take is black
Answer:
[tex]Probability = 0.4[/tex]
Step-by-step explanation:
Given
[tex]White = 6[/tex]
[tex]Black = 4[/tex]
Required
Probability that second is black
This selection can be represented as:
(Black and Black) or (White and Black)
The probability of Black and Black is:
[tex]P(Black\ Only) = \frac{Black}{Total} * \frac{Black - 1}{Total - 1}[/tex]
1 is subtracted from the second fraction because it is probability without replacement
[tex]P(Black\ Only) = \frac{4}{10} * \frac{4- 1}{10 - 1}[/tex]
[tex]P(Black\ Only) = \frac{4}{10} * \frac{3}{9}[/tex]
[tex]P(Black\ Only) = \frac{2}{5} * \frac{1}{3}[/tex]
[tex]P(Black\ Only) = \frac{2}{15}[/tex]
The probability of White and Black is:
[tex]P(Black\ and\ White) = \frac{Black}{Total} * \frac{White}{Total - 1}[/tex]
1 is subtracted from the second fraction because it is probability without replacement
[tex]P(Black\ and\ White) = \frac{4}{10} * \frac{6}{10- 1}[/tex]
[tex]P(Black\ and\ White) = \frac{4}{10} * \frac{6}{9}[/tex]
[tex]P(Black\ and\ White) = \frac{2}{5} * \frac{2}{3}[/tex]
[tex]P(Black\ and\ White) = \frac{4}{15}[/tex]
So, the required probability is:
[tex]Probability = P(Black\ Only) + P(Black\ and\ White)[/tex]
[tex]Probability = \frac{2}{15} + \frac{4}{15}[/tex]
[tex]Probability = \frac{2+4}{15}[/tex]
[tex]Probability = \frac{6}{15}[/tex]
[tex]Probability = 0.4[/tex]
What is the slope of the line -3y = 12x + 6?
Answer:
-4
Step-by-step explanation:
Let us rearrange this equation by dividing both sides by (-3):
y=-4x-2
And since the equation of a line is y=mx+b, where slope=m,
then the slope of our line is -4
I hope this helps! :)
Slope of the line -3y = 12x + 6 is -4.
What is slope intercept - form of line?The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as:
y = mx + b.
Given,
Equation of the straight line
-3y = 12x + 6
Dividing by -3 on both side
y = 12x/-3 + 6/-3
y = - 4x - 2
Comparing the above equation with slope - intercept form equation of line
y = mx + b
where m is slope and b is vertical intercept.
Slope of the given line
m = -4
Hence, - 4 is the slope of the line -3y = 12x + 6 .
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Find estimates of the solutions of the equation x2 – 5x + 3 = 0
Answer:
x = 1
Step-by-step explanation:
Hope this will help
As terms help compensate for a quadratic equation. It can indeed be solved in several ways, and the calculation of the equation can be defined as follows:
Quadratic Equation:All quadratic equations can be stated as ax²+bx+c=0, where can not be equal to 0, but can.
Following are solutions to given equation:
[tex]\to[/tex] x² – 5x + 3 = 0
Comparing the value with the standard equation:
[tex]\to[/tex] ax² +bx +c = 0
[tex]\to[/tex] a= 1
[tex]\to[/tex] b=-5
[tex]\to[/tex] c=3
Appling the value into the Shreedhara Acharya's formula:
[tex]\to x = \frac {- b \pm \sqrt{ b^2 - 4ac } } { 2a}\\\\\to x = \frac {- (-5) \pm \sqrt{ (-5)^2 - 4\times 1 \times 3 } } { 2\times 1}\\\\\to x = \frac {+5 \pm \sqrt{ 25 - 12} } { 2}\\\\\to x = \frac {5 \pm \sqrt{ 13} } { 2}\\\\\to x = \frac {5 \pm 3.6} { 2}\\\\\to x = \frac {5 + 3.6 } { 2} \ \ \ \ \ \ OR \ \ \ \ \ \ \ x = \frac {5 - 3.6} { 2}\\\\\to x = \frac {8.6 } { 2} \ \ \ \ \ \ OR \ \ \ \ \ \ \ x = \frac {1.4} { 2}\\\\\to x = 4.3 \ \ \ \ \ \ OR \ \ \ \ \ \ \ x =0.7\\\\[/tex]
Therefore, the value of x is "4.3, 0.7".
Find out more about the Quadratic Equation here:
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What is the standard form of the polynomial
7x - 125 - 6x4 + 14x2
Answer:
Step-by-step explanation:
Writing the polynomial according to the decreasing value of the exponents, the polynomial in standard form is given by:
[tex]p(x) = -6x^4 + 14x^2 + 7x - 125[/tex]
In a standard form polynomial, the terms with the highest exponents always come first.
In this problem, the exponents are, in order, 1, 0, 4 and 2. Thus, first should come the term with exponent 4, then the term with exponent 2, then exponent 1 and finally the term with exponent 0. Thus, the polynomial in standard form is given by:
[tex]p(x) = -6x^4 + 14x^2 + 7x - 125[/tex]
A similar problem is given at https://brainly.com/question/21328461
Find the missing exponent in each expression
Answer:
See below.
Step-by-step explanation:
Multiplying terms with exponents make the exponents add together.
13.) x² · x⁵ = x⁷
14.) b⁵ · b³ = b⁸
15.) y⁴ · y⁷ = y¹¹
16.) m⁴ · m¹ = m⁵
I will give brainiest to whoever answers correctly !!
Answer:
it should cost about 140414031413414189043184948143814884184183940000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
Answer:
a) $96 b) 4.85%
Step-by-step explanation:
Cash cost: 4400
10% down: 4400 * 10% = 440
Rest cost she owed: 4400 - 440 = 3960
6 month paid: 676 * 6 = 4056
Finance interest paid: 4056 - 3960 = 96
calculate by simple interest rate (r: annual rate): 3960 * r * t ( t = 6 month = 1/2 year)
3960 * r * 6/12 = 96
r = 0.0485 (4.85%)
check: 3960 * ( 1 + 4.85% * 6/12) = 4056 = 676 * 6
f÷−32=−31
whats the answer?
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "/-32" was replaced by "/(-32)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
f/(-32)-(-31)=0
Step by step solution :
STEP
1
:
f
Simplify ———
-32
Equation at the end of step
1
:
f
——— - -31 = 0
-32
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using -32 as the denominator :
-31 -31 • -32
-31 = ——— = —————————
1 -32
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
f • -1 - (-31 • 32) 992 - f
——————————————————— = ———————
32 32
Equation at the end of step
2
:
992 - f
——————— = 0
32
STEP
3
:
When a fraction equals zero
3.1 When a fraction equals zero
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
992-f
————— • 32 = 0 • 32
32
Now, on the left hand side, the 32 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
992-f = 0
Solving a Single Variable Equation:
3.2 Solve : -f+992 = 0
Subtract 992 from both sides of the equation :
-f = -992
Multiply both sides of the equation by (-1) :
f = 992
the answer is f = 992
The perimeter of the rectangle is 34 cm. The perimeter of the triangle is 30 cm. Find the value of m.
a. 5 cm
b. 6 cm
c. 7 cm
d. 8 cm
Please select the best answer from the choices provided
Answer:
a. 5cm
Step-by-step explanation:
r. m+m+n+n= 34
t. m+n+n+1=30
r. 2m + 2n =34
t. m + 2n + 1 = 30
after multiple by negative t row
t. -m -2n -1 = -30
and combine the 2 rows
2m -m +2n - 2n -1 = 34 - 30
m - 1 = 4
and we add one to each side of the operation
m - 1 + 1 = 4 + 1
m = 5
The value of m is 5 cm. Therefore, option A is the correct answer.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Given that, the perimeter of the rectangle is 34 cm.
We know that, the formula to find the perimeter of rectangle is 2(Length+Width)
From the figure, 2(m+n)=34
m+n=17 -------(I)
The perimeter of the triangle is 30 cm.
From the figure, m+n+n+1=30
m+2n=29 -------(II)
From equation (I), we have m=17-n
Put m=17-n in equation (II), we get
17-n+2n=29
n=12 cm
Substitute n=12 in equation (I), we get
m=5 cm
The value of m is 5 cm. Therefore, option A is the correct answer.
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What is the value of x in the figure shown below?
Answer: 32 degrees
Step-by-step explanation: alternat interoir angles are the same.
What is 7/6 divided by 4/3 ?
Answer:
0.875
Step-by-step explanation:
I looked it up
Plz answer correctly and I will give you the brainiest answer.
Answer:
Communtative property of mulitplcation
Step-by-step explanation:
The ansewer is the Communtative property of mulitplcation because it states That it allows two or more factors to be multiplied in anny order without changing the profit
Pleas help!! Trigonometry! Picture Attached!!
6. sec0= 20
0= ____
Answer:
tan theta = -1
we know tan = opposite/ adjacent
So opposite/adjacent = -1
Multiply by adjacent on each side
opposite = - adjacent
We also know from pythagorean theorem that
opposite ^2 + adjacent ^2 = hypotenuse ^2
Substituting in for adjacent
opposite ^2 + (-opposite ) ^2 = hypotenuse ^2
opposite ^2 + opposite ^2 = hypotenuse ^2
2 opposite ^2 = hypotenuse ^2
Taking the square root on each side
sqrt(2 opposite ^2) = sqrt(hypotenuse ^2)
sqrt(2) opposite = hypotenuse
We are now set to find the sec
sec theta = hypotenuse / adjacent
= sqrt(2) opposite/ adjacent
Replace the opposite = -adjacent
= sqrt(2) (-adjacent)/adjacent)
= -sqrt(2)
Step-by-step explanation:
Answer:
tan theta = -1
we know tan = opposite/ adjacent
So opposite/adjacent = -1
Multiply by adjacent on each side
opposite = - adjacent
We also know from pythagorean theorem that
opposite ^2 + adjacent ^2 = hypotenuse ^2
Substituting in for adjacent
opposite ^2 + (-opposite ) ^2 = hypotenuse ^2
opposite ^2 + opposite ^2 = hypotenuse ^2
2 opposite ^2 = hypotenuse ^2
Taking the square root on each side
sqrt(2 opposite ^2) = sqrt(hypotenuse ^2)
sqrt(2) opposite = hypotenuse
We are now set to find the sec
sec theta = hypotenuse / adjacent
= sqrt(2) opposite/ adjacent
Replace the opposite = -adjacent
= sqrt(2) (-adjacent)/adjacent)
= -sqrt(2)
Step-by-step explanation:
Please help!!! 10 points for it!!
Answer:
83 degrees
Step-by-step explanation:
In order to find the angle x, you need to find all the angles inside the triangle.
You have already been given the angle 43 degrees, which is inside the triangle, but you dont know the other angle inside the triangle.
However, you have been given the angle 126 degrees, which is outside the triangle.
You can see that the base of the triangle consists of a straight line. And the angles on a straight line add up to 180 degrees.
So to find the missing internal angle of the triangle:
180 - 126 = 54 degrees.
Now you have 2 internal angles, but you are missing one, which is x.
all the angles in a triangle add up to 180 degrees.
T
herefore to find x, you add the two internal angles of the triangle and then subtract it from 180 degrees:
180 - (54 + 43) = 83 degrees
Sorry for the longwinded explanation, but I hope it helps.
Answer: x=180-43-54 iget 83degrees
Step-by-step explanation:
Which set of points on the graph represents equivalent ratios?
points C, D, and F
points B, C, and D
points B, C, and F
points A, C, and D
if u answer correctly or all i will mark brainliest
Write an equation that represents the line.
Use exact numbers.
Step-by-step explanation:
at 2=-2
at -3= -6
[tex]y = ax + b \\ - 2 = 2a + b \\ - 6 = - 3a + b[/tex]
[tex] - 2 - ( - 6) = 2a - ( - 3a) \\ 4 = 5a \\ a = 0.8[/tex]
[tex] - 2 = 2(0.8) + b \\ b = - 2 - 1.6 \\ b = - 3.6[/tex]
[tex]y = 0.8x - 3.6[/tex]
What should managers use if they want to identify and respond in a timely manner to social and political shifts?
Answer:
They need to use issues management
Step-by-step explanation:
Due to the fact that social and political shifts are usually quite complex in terms of the possible issues that arise from them, managers are best served to use Issues management because it is an anticipatory and strategic management process which aids organizations in quick & timely detection and response to changes in the socio - political system or environment.
Find the zeros of g(x)=2x^2+32
Answer:
x = 4i, − 4i
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x
x = 4i, − 4i
look at the diagram, how do you know that y is not directly proportional to x.
Step-by-step explanation:
If y was directly proportional to x, the graph of y against x would pass through the origin (O).
Since the graph above does not show this, y is not directly proportional to x.
S2=1/(1)(2)+1/(2)(3)
Answer:
1/(1) (2) +1/(2) (3)
=1/2+1/6
=3
Write the following ratio as a reduced fraction. Simplify your answer when possible: 44 to 50
Answer:
22 to 25
brainliest pls!
Question 2
A toy spinner found in a kindergarten classroom is shown below.
Each of the six sections of the spinner are equal. What percentage and decimal equivalent of the spinner is represented by the star?
Answer
F 1% and 1.6
6
G 0.6% and 0.6
H 16% and 0.166
J 60% and 0.60
Answer:
answer J
Step-by-step explanation:
srry if im wrong hope it helps:)
Whats the slope and y-intercept of y=-3x+4?
Answer:
slope= -3. y intercept is 4
Step-by-step explanation:
the x value is slope and the y value is y intercept.
REMEMBER THIS!!! ITS SUPPPER IMPORTANT
Answer:
[tex]\boxed {\sf m= -3}}[/tex]
[tex]\boxed {\sf b= 4}[/tex]
Step-by-step explanation:
The equation of the line is in slope intercept form or:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Essentially:
The coefficient to x, or number being multiplied is the slope The number added or subtracted from the x term is the y-interceptThe line given is:
[tex]y= -3x+4[/tex]
-3 is the coefficient of x and 4 is being added to -3x.
The slope (m) is -3 and the y-intercept (b) is 4.
Find the value of f(x) = -3x +2
When x=2
Answer:
it is -4
Step-by-step explanation:
-3 * 2 = -6 + 2 = -4
WILL GIVE BRAINLIEST!!!
Step-by-step explanation:
In A, XY and ZW are congruent sides and both the sides are parallel.they will never interecet.
In B, WX and YZ are also congruent and are parallel.They also never intersect.
In C, WY and WZ are not congruent and will intersect at one point.They form triangle.
In D, angle of W is same as angle of Y.They are congruent angles.Opposite angles of a parallelogram are always equal.
Craig invests $350 in a savings account that earns 1.5% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account
after 2 years?
Answer:
Step-by-step explanation:
Kyra invested $15,000 of her money at a 1.8% per year bank rate. ... What is Kyra's account balance, to the nearest cent, after: Year 1? Year 2? ... -Compounded interest adds interest not only to your principle amount, but your ... 5) Suppose you deposit $3,000 into an account that earns 6% compounded annually
for what value of x is ABC~DEF 30,36
15 ,72
Answer:
Just do x 30,36 x 15,72
Step-by-step explanation:
just go on the calculator
The population f(x), in millions, of State A of a country after x years is represented by the function shown below:
f(x) = (1.08)x
The graph shows the population g(x), in millions, of State B of the country after x years. (0,2) and (9,4).
Which conclusion is correct about the population of State A and State B?
a. The original population of State B was half of the original population of State A.
b. The original population of State A was half of the original population of State B.
c. The original population of State B was one-fourth of the original population of State
d. The original population of State A was one-fourth of the original population of State
Answer:
-- State-A . . . Population = 1 · (1.08)ˣ
-- State-B . . . Population = 2 · (1.08)ˣ
' x ' = number of years after the original population
At the beginning, x=0.
Any quantity raised to the zero power = 1.
At the beginning, when x=0, the original populations were
State-A = 1 · 1 = 1
State-B = 2 · 1 = 2
The original population of State A was half of
the original population of State B.
this isn't my answer but hope it helps
plz help me with this page ill give brainilest
Answer:
1. 5,570
2. 7,430 - 3,870 =3560
3. 0
4.15
5. 6/8 7/8
6. >
7.not equal
8.520,685
9.5
10. a-3210 b-2346
1. 6,790
2. b , c , e
3. 2
4. 3
5. 1
6.B
7. A-3 B-2
8. 7/13
9. 3/8
10. 543