If the Company pays. Rs 40 per her. The total cost is Rs 16,000.
Total costFirst step is to calculate the time taken to produce
Time= (10000/200) × 8
Time= 400 hours
Second step is to calculate the total cost
Total cost= 400 × Rs 40
Total cost= Rs 16,000
Therefore the total cost is Rs 16,000.
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The 8. is just the number of the question.
The value of (1+tanx)(1-tanx)+sec²x is 0 and the value of [tex]\frac{sec^{2}-4 }{sec+2}[/tex] is [tex]sec\theta \ -2[/tex].
Given that, (1+tanx)(1-tanx)+sec²x.
Now, (1-tan²x)+sec²x
=1-tan²x+sec²x
=1+sec²x-tan²x
=1-1=0
Now, evaluate [tex]\frac{sec^{2}-4 }{sec+2}[/tex]
[tex]=\frac{sec^{2} \theta \ -2^{2} }{sec\theta \ +2} =\frac{(sec \theta \ +2)(sec \theta \ -2)}{sec \theta \ +2}[/tex] (∵a²-b²=(a+b)(a-b))
[tex]=sec \theta \ -2[/tex]
Hence, the value of (1+tanx)(1-tanx)+sec²x is 0 and the value of [tex]\frac{sec^{2}-4 }{sec+2}[/tex] is [tex]sec\theta \ -2[/tex].
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Natalie is ordering a burrito. For the main protein, she is given the option of veggie, chicken, carnitas, or carne asada. For the beans, she is given the option of no beans, black beans, or pinto beans. How many possible order combinations are there?
Answer: 12
Step-by-step explanation:
For this counting question, we need to figure out the possible choices for each selection.
For main protein, there are four options, so we can make four slots
_ _ _ _
For beans, there's three options, so we can make three slots
_ _ _
Doing some casework, we know that 4*3 = 12, which is the answer.
11. (21x² - 6x +14) + (x²-3x+18)
Answer:
22x^2-9x+32
Step-by-step explanation:
(21x² - 6x +14) + (x²-3x+18)
To add, we need to combine like terms
21x^2+x^2 -6x-3x +14+18
22x^2-9x+32
Answer:
22x² - 9x + 32
Step-by-step explanation:
(21x² - 6x +14) + (x²-3x+18)
Get rid of the parenthesis:
21x² - 6x + 14 + x² - 3x + 18
Group like terms:
22x² - 9x + 32
Through how many degrees does the hour hand of a clock travel between 3:00pm and 3:15pm?
Answer:
90 degrees
Step-by-step explanation:
the clock is a circle so the entire # of degrees is 360.
there are 12 sections on the clock so 360 /12 =30
so each section is 30 degrees.
if you go from 3:00 to 3:15, that is 3 sections.
so 3 times 30 is 90
Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.
Which explains whether ΔFGH is congruent to ΔFJH?
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
They are congruent because opposite sides of a parallelogram are congruent.
They are not congruent because only one pair of corresponding sides is congruent.
They are not congruent because only two pairs of corresponding sides are congruent.
ΔFGH is congruent to ΔFJH They are not congruent because only one pair of corresponding sides is congruent.
The correct option is (C)
What is Congruency?Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.
Given:
ΔFGH and ΔFJH share common side FH. Sides FG and GH are congruent.
As, per the information, it can be seen that the triangles are not congruent as one pair of corresponding side is not congruent.
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Answer: C
Step-by-step explanation: edge
4. In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?
A team of 3 boys and 3 girls be selected from 5 boys and 4 girls in 40 ways
How to determine the number of ways?The selections are given as:
3 boys from 5 boys
3 girls from 4 girls
Each selection is calculated using:
[tex]^nC_r = \frac{n!}{(n- r)!r!}[/tex]
So, we have:
[tex]Ways = ^5C_3 * ^4C_3[/tex]
Apply the combination formula
[tex]Ways = \frac{5!}{2!3!} * \frac{4!}{1!3!}[/tex]
Expand
[tex]Ways = \frac{5 * 4 * 3!}{2 * 3!} * \frac{4 * 3!}{1 * 3!}[/tex]
Simplify
Ways = 5 * 2 * 4
Evaluate
Ways =40
Hence, the number of ways is 40
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hep me out with this question i will give you brainly!
Answer:
c because have great day
Use the given graph to determine the limit, if it exists. (4 points)
A coordinate graph is shown with a horizontal line crossing the y axis at three that ends at the open point 2, 3, a closed point at 2, 1, and another horizontal line starting at the open point 2, -2.
Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x. .
Does not exist; does not exist
1; 1
-2; 3
3; -2
Limit of x approaches two from the left of f of x: 3. Limit of x approaches two from the right of f of x: - 1 (negative 1)
How to find the value of the function as x approaches infinity (+ve or -ve)?If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
In order to find the limit as x approaches two from the left of f of x:
Lim x→2- f(x) = ?
According to the graph, when x approaches two from the left (x<2), the function approaches 3:
Lim x→2- f(x) = 3
IN order to find the limit as x approaches two from the right of f of x:
Lim x→2+ f(x) = ?
According to the graph, when x approaches two from the right (x>3), the function approaches -1:
Lim x→2+ f(x) = - 1
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100 POINTS!!!
PLEASE HELP ITS EZ :)
In 2.44 seconds lindsey be 30 feet in the air.
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
y= -16x²+33x+45
If the height is 30 feet.
30= -16x²+33x+45
-16x²+33x+45-30=0
-16x²+33x+15=0
16x²-33x-15=0
Solving the quadratic equation
x=-b±√b²-4ac/ 2a
x= 33 ± √2049/32
x= (33+ √2049)/32 and x=33-√2049/32
x=2.44 and -0.3833
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Find the midpoint of a A(3, -1) and B(x, y) is P(4, - 5). Find the coordinates of B. pls answer it is urgent i will mark him or her brainlest
Answer:
is this tye required answer
true or false: prostulates are accepted as true without proof
Answer:
true
Step-by-step explanation:
Since their wise or intelligent guess
Based on a poll, 867 of 1050 randomly selected adult said that they always wear seat belts. Construct and interpret a 97% confidence interval for the proportion of adults who always wear seat belts.
The 97% confidence interval for the proportion of adults is 0.801<P<0.851.
Given that 867 adults are randomly selected from 1050 who always wear seat belts.
A confidence interval refers to the probability that a population parameter will fall between a set of values for a certain proportion of times.
Let's assume n=1050 and x=867
Find the sample proportion by dividing the given proportion with sample size as,
[tex]\begin{aligned}\hat{p}&=\frac{x}{n}\\\hat{p}&=\frac{867}{1050}\\ \hat{p}&=0.826 \end[/tex]
Find the α by subtracting the given confidence interval that is 97% from 1 as
α=1-(97÷100)
α=1-0.97
α=0.03
To find the critical value that is [tex]Z_{\frac{\alpha}{2}}[/tex] by dividing alpha with 2,
[tex]\begin{aligned}Z_{\frac{\alpha}{2}}&=Z_{\frac{0.03}{2}}\\ Z_{\frac{\alpha}{2}}&=Z_{0.015}\end[/tex]
From this table which is shown in the figure it says that the critical value is
[tex]Z_{crit}=\pm 2.17[/tex]
Use this formula to find the confidence interval [tex]P=\hat{p}\pm Z_{Crit}\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]
Substitute the values in the formula,
[tex]\begin{aligned}P&=0.826\pm 2.17\times \sqrt{\frac{0.826(1-0.826)}{1050}}\\ P&=0.826\pm 2.17\times \sqrt{\frac{0.826\times 0.174}{1050}}\\ P&=0.826\pm 2.17\times 0.0116995\\ P&=0.826\pm 0.025\end{aligned}[/tex]
Hence, a 97% confidence interval for the proportion of adults who always wear seat belts is 0.801<P<0.851.
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Which is an equation of the line through (0,0) and (2,-3)?
Answer:
y = -1.5x
How to build equation?
Given points: (0, 0), (2, -3)
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
[tex]\rightarrow \sf slope \ (m) = \dfrac{-3-0}{2-0} = -1.5[/tex]
Then find equation:
[tex]y-y_1 = m(x - x_1)[/tex]
[tex]y - 0 = -1.5(x -0)[/tex]
[tex]y = -1.5x[/tex]
Answer:
y = (-3/2)x
Step-by-step explanation:
I am going to answer this question in slope-intercept form, which is y = mx + b (m is the slope, b is the y-intercept). The question already gives us the y-intercept, or the point at which the graph crosses the y-axis. It is (0, 0). Now, all we have to do is find the slope, which we can do using the following formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
In this formula, (x1, y1) and (x2, y2) are two points that are given to us [the first point is (0,0) and the second point is (2,-3). We can solve for the slope by plugging in:
[tex]m=\frac{-3-0}{2-0}=\frac{-3}{2}[/tex]
Now that we have m and b, we can plug into slope-intercept form to get our equation: y = (-3/2)x + 0 or y = (-3/2)x
How many solutions exist for the system of equations graphed below?
Answer: one
Step-by-step explanation:
When a system of equations is graphed the solutions are the point of intersections. Here, we only have one point of intersection since these are both linear equations. That means there is only one solution.
the question is on the image
Answer:
nth term: 0.5n² + 2.5n + 3
Explanation:
pattern 1 = 6 bowls
pattern 2 = 10 bowls
pattern 3 = 15 bowls
pattern 4 = 21 bowls
First difference:
10 - 6 = 415 - 10 = 521 - 15 = 6Second difference:
5 - 4 = 16 - 5 = 1This is not an arithmetic nor a geometric sequence.
Solve:
2a = 2nd difference
2a = 1
a = 1/2 or 0.5
===================
3a + b = 1st difference
3a + b = 4
b = 4 - 3(1/2)
b = 2.5
====================
a + b + c = first term
1/2 + 2.5 + c = 6
c = 3
Quadratic nth term:
0.5n² + 2.5n + 3
Just an easy question for 100 points! :)
If the function is translated 4 units down, the resulting function will be
y = x - 4 while the vertical stretch by 3units will be y = 3(x-4)
Transformation of functionsTransformation of function is a way of changing the position of a line or curve on an xy place.
Given the equation of a line as shown;
y = x (This will serve as the parent function)
If the function is translated 4 units down, the resulting function will be
y = x - 4. If the resulting function is stretched by a factor of 3, the final function will be y = 3(x - 4)
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Need help with this question
Now, ORQ is a straight angle and RS its bisector.
It means:
ORS = QRS = 180°/2 = 90°So, ∠ORS and ∠QRS are supplementary.
We also have ray RP, that divides the angles ORQ and QRS.
It gives us one more pair of supplementary angles:
∠ORP and ∠QRP.Since ∠QRS is right angle, its parts are forming a pair of complementary angles:
∠SRP and ∠QRP are complementaryif you can solve, i will give brainliest!
What is the sum of StartRoot 3 EndRoot – i and 2 – StartRoot 3 EndRooti?
(2 + StartRoot 3 EndRoot) – (1 –StartRoot 3 EndRoot )i
(2 + StartRoot 3 EndRoot) – (1 + StartRoot 3 EndRoot)i
(2 + StartRoot 3 EndRoot) + (1 + StartRoot 3 EndRoot)i
(2 + StartRoot 3 EndRoot) + (1 – StartRoot 3 EndRoot)i
Answer:
(2 + StartRoot 3 EndRoot) – (1 + StartRoot 3 EndRoot)i
Step-by-step explanation:
I'm 100% sure! ^^
Answer:
B: (2 + StartRoot 3 EndRoot) – (1 + StartRoot 3 EndRoot)i
Step-by-step explanation:
Took the quiz
Find x and y.
x - y = 2
3x - y = 12
the answer is
X=5
y=3
hope you like it
An adult gerbil at Fish 'n' weighed 1/5 lb. A young gerbil weighed 1/4 of that amount. How many did the young gerbil weigh?
You are able to walk uphill at a speed of 2 miles per hour and downhill at a speed of 3 miles per hour. What does the graph represent?
Using a piece-wise function, the representation of the graph is given as follows:
Walking uphill for 3 hours and downhill for 1 hour.
What is a piece-wise function?A piece-wise function is a function that has multiple definitions, depending on the input.
In this problem, we have that:
For the first 3 hours, the slope is of 2 miles per hour, equivalent to walking uphill.For the final hour, the slope is of 3 miles per hour, equivalent to walking downhill.Hence the meaning of the graph is:
Walking uphill for 3 hours and downhill for 1 hour.
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Here is a list of ages (years) of children in a room: 9 , 9 , 9 , 4 , 9 , 1 , 10 State the median.
Answer:
the median is 9
Explanation
Finding the median is easy, all you need to do is put the numbers in numeric order and the one that's in the middle of the numbers is the median
9 , 9 , 9 , 4 , 9 , 1 , 10 = 1, 4, 9, (9), 9, 9, 10
(median)
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Given the Ages of students: 9,9,9,4,9,1,10. State the median
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
[tex]\boxed{\begin{minipage}{7cm} Before finding the median, we\\ need to arrange \\ our data from least to greatest. \end{minipage}}[/tex]
Thus,
[tex]\bf{1,4,9,9,9,9,10}[/tex].
[tex]\fbox{The median is the number in the middle.}[/tex]
Thus,
[tex]\bf{9}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=9}[/tex]
Extra information [tex]\curvearrowright[/tex][tex]\begin{tabular}{c | 1} Data Parameter & What to Do \\ \cline{1-2} \\ Mean & Add all the numbers and divide by how many there are \\ Median & Arrange the numbers from least to greatest and take the number \\ & in the middle. Take the mean of the 2 numbers in the middle \\ & if there's an even amount of numbers \\ Mode & The number that occurs the most \\ Range & The largest number minus the smallest number \\ Minimum & The smallest value \\ Maximum & The largest value \end{tabular}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]
Which three pairs of measurements are possible side lengths for the triangle?
A
B
60°
F
AB=4, BC= 4√3
OBC= 2√3, AC=2
AB=3, AC=3√3
BC=10, AC= 4√3
AB=7, AC=14
AB=11, BC=11√3
30°
C
Answer:
Options (1), (5), and (6)
Step-by-step explanation:
See attached image
Three pairs of measurements which are possible side lengths for the triangle are,
1. AB = 4, BC = 4√3
5 AB = 7, AC = 14.
6. AB = 11, BC = 11√3
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, We get;
The sides of this triangles has lengths in the ratio x : √3x : 2x
where 2x is the hypotenuse.
Now, When C = 30, the side AB is the small leg (=x).
When B = 90, the hypotenuse is AC ( =2x).
When A = 60, the larger leg is BC (=√3x).
1. AB = 4, BC = 4√3 :- Are possible legs.
5 AB = 7, AC = 14. :- AB = small leg, AC = hypotenuse.
6. AB = 11, BC = 11√3:- AB = small, BC = larger leg.
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hellp help
x =x=x, equals
^\circ
∘
degrees
The sum of the unknown angle and 33 degrees are supplementary. The measure of x is 147 degrees
Supplementary anglesThe sum of the unknown angle and 33 degrees are supplementary to have:
x + 33 = 180
Subtract 33 from both sides
x + 33 - 33 = 180 - 33
x = 180 - 33
x = 147degrees
Hence the measure of x is 147 degrees
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Answer:
Step-by-step explanation:
x + 33° = 180°
reason :( they are cointerior angle )
x = 180° - 33°
x = 147°
What is the product of the...
Step-by-step explanation:
the answer is C) 8x^5y - 6x^4y^2
pls like and follow.
hope you understand as well
what is inversion transformation
Answer:
Inversión en una circunferencia es una transformación que conserva la magnitud de los ángulos pero cada ángulo se transforma en un ángulo de signo opuesto . El sentido o dirección de cada ángulo se invierte. La inversión en una circunferencia es una transformación anti-conforme(como la reflexión en una recta).
Step-by-step explanation:
El sentido o dirección de cada ángulo se invierte. La inversión en una circunferencia es una transformación anti-conforme(como la reflexión en una recta).
Answer:
inversion transformations are a natural extension of Poincaré transformations to include all conformal one-to-one transformations on coordinate space-time.
Find the answer
a
b
c
d
Answer: a
Step-by-step explanation:
[tex]\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)}=\frac{\sqrt{x^{2}-1}}{\sqrt{x-1}}}=\sqrt{\frac{x^{2}-1}{x-1}}=\sqrt{\frac{(x-1)(x+1)}{x-1}}=\boxed{\sqrt{x+1}}[/tex]
A projectile is fired from the ground with an upward speed of 245 m/s. What is the maximum height of the projectile?
The maximum height of the projectile fired from the ground with an upward speed of 245 m/s is 3001.25 m
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The maximum height (H) of a projectile is given as:
H = u²/2g
Where u is the initial speed = 145 m/s, g is the acceleration due to gravity = 10 m/s²
H = 245²/ 2(10) = 3001.25 m
The maximum height of the projectile fired from the ground with an upward speed of 245 m/s is 3001.25 m
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How can you quickly determine the number of roots a polynomial will have by looking at the equation?
One can determine the number of roots by seeing the degree of the given polynomial.
The number of roots can be determined by just seeing the highest power of the given equation.
1) for the equation x-4=0
here, the highest power of the equation is one. So, it will have one root.
What is the polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtract multiplication, on, and non-negative integer exponentiation of variables.
Let's check it by simplifying x-4=0 which implies x=4
Hence, the equation has only one root namely x = 4.
2) Consider a quadratic equation,
10t^2-t-3=0
here, the highest power of the equation is two. So, it will have two roots.
Let's check it by simplifying using the middle term splitting method,
10t^2+5t-6t-3=0
5t(2t+1)-3(2t+1)=0
(5t-3)(2t+1)=0
t=-3/5 or t=-1/2
Thus, the equation has two roots.
Hence, one can determine the number of roots by seeing the degree of the given polynomial.
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A pet supply store lets you donate your change to the local animal shelter. Denise buys a bag of dog food for $15.74 and a squeaky toy for $3.98. She gives the cashier $20. If she gives all of her change, how much will Denise donate to the animal shelter?
Considering her change, it is found that she will donate $0.28 to the animal shelter.
How to find the amount of change in a purchase?The amount of change is given by the subtraction of the total paid and the price of the products.
In this problem, the price of the products bought is given by:
$15.74 + $3.98 = $19.72
She paid $20, hence the change is given by:
$20 - $19.72 = $0.28.
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