3. Shikha's mother is four times as older as Shikha.Twenty years later, she will be twice as old as Shikha will be then. Find Shikha's present age.
​

Answer:

2/6

Step-by-step explanation:

The LCD of 18 and 6, so when you multiply 2/6, it will be 5/18. So 5/18 is greater than 3/18

Answer:

3/18  is smaller than 2/6

Step-by-step explanation:

Answer:

( x − 1 ) (x + 2 ) (x + 4 )

Step-by-step explanation:

Answer:

C, D, F

Step-by-step explanation:

The new variance is 0.0625 / n

We can use the following formula to calculate the variance of a data set

variance = (sum of (x - mean)^2) / (number of data points)

where x is a data point and mean is the mean of the data set.

If the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35, we can find the standard deviation as follows

standard deviation = square root of variance = sqrt(0.35) = 0.59

Now, if the price increases by 25 cents a box, the new mean cost will be

new mean = $4.00 + $0.25 = $4.25

To find the new variance, we need to calculate the sum of (x - mean)^2 for the new data set and divide by the number of data points. Let's assume we are still considering the same number of boxes.

sum of (x - mean)^2 = [(4.25 - 4)^2 × n] = 0.0625 × n

where n is the number of data points.

Therefore, the new variance can be calculated as

new variance = (sum of (x - mean)^2) / (number of data points) = 0.0625 / n

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To test for consistency in the given system of equations:

\(\[\begin{align*}x - 4y + 7z &= 14 \\3x + 8y - 2z &= 13 \\7x - 8y + 26z &= 5\end{align*}\]\)\(\[x - 4y + 7z &= 14 \\3x + 8y - 2z &= 13 \\7x - 8y + 26z &= 5\]\)

We can use the method of Gaussian elimination or matrix operations. However, to provide a short answer using LaTeX, I will use matrix notation to perform row reduction:

\(\[\begin{bmatrix}1 & -4 & 7 & 14 \\3 & 8 & -2 & 13 \\7 & -8 & 26 & 5\end{bmatrix}\]\)

Performing row reduction operations, we can obtain the row-echelon form:

\(\[\begin{bmatrix}1 & -4 & 7 & 14 \\0 & 20 & -23 & -29 \\0 & 0 & 1 & -3\end{bmatrix}\]\)

Since we do not have a row with the form [0 0 ... 0 | b], where b is a non-zero value, the system is consistent. Additionally, all the rows have at least one non-zero entry in the augmented column. Therefore, the system of equations is consistent.

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Answer:

The bike path

Step-by-step explanation:

A right triangle has a hypotenuse that can be found using the formula

a^2 + b^2 = c^2 where c is the hypotenuse

The street sign is obviously not correct because a hypotenuse is longer than the sides. The bathroom tile isn't correct either because 6^2 + 8^2 = 100, or 10 after you take the square root. That leaves the bike path.

Checking to make sure:

5^2 + 12^2 = c^2

25 + 144 = √169

√169 = 13

The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.

Any three line segments can form a right triangle only when they satisfy the Pythagoras Theorem, according to which, the square of the largest side in a right triangle is equal to the sum of the squares of the other two sides, that is, a² = b² + c², where a is the largest side, and b and c are the two other sides.

In the question, we are asked to identify from the given scenarios, the case that involves a right triangle.

We know that for three segments to be a right triangle, they need to satisfy the Pythagoras Theorem. So we check every scenario with the theorem:

∴ The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.

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The evaluation of the expression 12.75 ÷ 1.5 is 51  / 6.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

Therefore, let's evaluate the expression as follows:

Hence,

12.75 ÷ 1.5

Let's convert each decimal to fractions for easy evaluation

Therefore,

12.75  = 1275 / 100

1.5 = 15 / 10

Therefore,

1275 / 100 ÷ 15 / 10

Let's change the division sign to multiplication sign.

1275 / 100 × 10 / 15

1275 / 150

Therefore,

255 / 30 = 51 / 6

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Answer

There are 36 combinations and 181440 permutations

Explanation

The number of combinations of n object taking r at a time is given by the formula;

From the question, n = 9 and r = 7, then substitute these values into the formula

The number of permutations of n object taking r at a time is given by the formula;

Also, n = 9 and r = 7, then substitute these values into the formula to get the number of permutations

Therefore, there are 36 combinations and 181440 permutations

9. Enrique would earn $7. 50 per hour. Option B

10. The number of girls that were at the assembly is 1390 . Option J

11. 40% of 60 is 24 . Option C

12. The simple interest is $72. 00 . Option F

13. The factory produces 1080 shoes on Tuesday. Option D

9. From the information given, we have;

He would earn;

= 420/ 56

= $7. 50 per hour

10. We have that;

The number of girls at the assembly would be;

= 23/ 20 × 1200

= 1. 15 × 1200

= 1380

11. Let the number be x

40% of x = 24

40/ 100x = 24

0. 4 x = 24

Make 'x' the subject

x = 24/ 0. 4

x = 60

12. The formula for simple interest is expressed as;

Simple interest = PRT / 100

Simple interest = 300 × 4 × 6/ 100

Simple interest = 7200/ 100

Simple interest = $72. 00

13. We have that;

Monday's production = 900 shoes

Tuesday's production = 900 + 900 × 20% = 900 × 20/ 100 = 18000/ 100 = $900 + 180

= $1080

Thus, the total amount Enrique earns per hour is $7. 50 .Option B

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Answer:

35P-200 is more than equal to 350

Step-by-step explanation:

my keyboard has no more than equal

to sign

Answer:

$676.8

Step-by-step explanation:

all you need to do is subtract jared's commission from the value of jewelry sold

720-43.20= 676.8

Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

^{4}+36+8x^{2}

x^{4}+8x^{2}+36

Step-by-step explanation:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.  

i hope this helped

(a) Differentiate \(s(t)\) to get the velocity.

\(s(t) = \cos(t^2 - 1)\)

Use the chain rule.

\(u = t^2 - 1 \implies \dfrac{du}{dt} = 2t\)

\(s(u) = \cos(u) \implies \dfrac{ds}{du} = -\sin(u)\)

\(\implies \dfrac{ds}{dt} = \dfrac{ds}{du} \dfrac{du}{dt} = \boxed{-2t\sin(t^2-1)}\)

(b) Evaluate the derivative from (a) at \(t=0\).

\(\dfrac{ds}{dt}\bigg|_{t=0} = -2\cdot0\cdot\sin(0^2-1) = \boxed{0}\)

(c) The object is stationary when the derivative is zero. This happens for

\(-2t \sin(t^2 - 1) = 0\)

\(-2t = 0 \text{ or } \sin(t^2 - 1) = 0\)

\(t = 0 \text{ or } t^2 - 1 = n\pi\)

(where \(n\) is any integer)

\(t = 0 \text{ or } t = \pm\sqrt{n\pi + 1}\)

We omit the first case. In the second case, we must have \(n\ge0\) for the square root to be defined. Then in the given interval, we have two solutions when \(n=\in\{0,1\}\), so the times are

\(t_1 = \sqrt{1} = \boxed{1}\)

\(t_2 = \boxed{\sqrt{\pi + 1}} \approx 2.035\)

(d) A picture is worth a thousand words. See the attached plot. If you're looking for a verbal description, you can list as many features of the plot as are relevant, such as

• intercepts (solve \(s(t)=0\) to find \(t\)-intercepts and evaluate \(s(0)\) to find the \(s\)-intercept)

• intervals where \(s(t)\) is increasing or decreasing (first derivative test)

• intervals where \(s(t)\) is concave upward or concave downward (second derivative test; at the same time you can determine any local extrema of \(s(t)\), which you can see in the plot agrees with the critical points found in (c))

The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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Answer:

m=undefined

Step-by-step explanation:

the formula for slope (m) is (y2-y1)/(x2-x1)

here are the given points: (-5,0) and (-5,5)

we can label the points:

x1=-5

y1=0

x2=-5

y2=5

now substitute into the equation

m=(5-0)/(-5--5)

m=(5-0)/(-5+5)

m=5/0

m=undefined

the slope is undefined, because you cannot divide by 0

Typically, a score in the top 25th percentile for a student's grade level is considered to be a strong performance, while a score in the bottom 25th percentile may indicate a need for additional support.

The I-Ready Diagnostic is a widely used assessment tool that measures student proficiency in math and reading. It's commonly used in K-12 schools to help teachers and administrators track student progress and identify areas where students may need additional support.

Here's a more detailed explanation: A "good score" on the I-Ready Diagnostic depends on several factors, such as the student's grade level, the state's standards, and the student's past performance.

It's important to note that the I-Ready Diagnostic is designed to provide a snapshot of a student's current skills and understanding, and it should not be used as the sole measure of a student's ability.

A student's score on the I-Ready Diagnostic can change from year to year based on their progress and the new material they are exposed to.

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The equivalent expressions indicated are;

1) 1/a^6b^4

2) a^6/b^6

3) a^6/b^5

4) b^6/a^6

5) a^5b^3

We have to note that when we talk about the equivalent expressions, we mean the expressions that we have to get from each other when we carry out a little computational work on the original expression.

Thus, the equivalent expression has shown that the expression that is in the bracket is the same as the original expression by the use of the laws of exponents.

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i)  The Cobb-Douglas production function y = \(Ax^1h^1x^2b^2\) is negatively sloped and convex to the origin. ii) These positive signs ensure that the partial derivatives and second-order partial derivatives are positive or non-negative. iii) This equation represents the isocline defined by RTS = 1 for the given Cobb-Douglas production function.

i) To prove that the Cobb-Douglas production function y = Ax^1h^1x^2b^2 is negatively sloped and convex to the origin, we need to show that the partial derivatives with respect to x1 and x2 are positive, and the second-order partial derivatives are non-negative.

Partial derivatives:

∂y/∂x1 = A *\((1 * x^1 * h^1 * x^2b^2) / x1 = A * h^1 * x^2b^2\)

∂y/∂x2 = A *\((1 * x^1 * h^1 * x^2b^2) / x2 = A * x^1 * h^1 * b^2 * x2(b^2-1)\)

The partial derivatives are positive since A, h^1, and x^1 are assumed to be positive parameters.

Second-order partial derivatives:

∂^2y/∂x\(1^2\) = \(A * h^1 * x^2b^2 > 0\)

∂^2y/∂x\(2^2\) = \(A * x^1 * h^1 * b^2 * (b^2-1) * x2(b^2-2) > 0\)

The second-order partial derivatives are non-negative since A, \(h^1,\) and \(b^2\) are assumed to be positive parameters.

Therefore, the Cobb-Douglas production function y = \(Ax^1h^1x^2b^2\) is negatively sloped and convex to the origin.

ii) For the function to be well-behaved, the parameters A, \(h^1,\) and \(b^2\) should have the following signs:

- A should be positive, as it represents the overall productivity level of the production function.

-\(h^1\) should be positive, as it represents the elasticity of output with respect to the input factor x1.

- \(b^2\) should be positive, as it represents the elasticity of output with respect to the input factor x2.

These positive signs ensure that the partial derivatives and second-order partial derivatives are positive or non-negative, leading to a well-behaved and meaningful production function.

iii) The marginal rate of technical substitution (RTS) for a Cobb-Douglas production function is defined as the ratio of the marginal product of one input to the marginal product of the other input:

RTS = (∂y/∂x1) / (∂y/∂x2)

From the partial derivatives calculated earlier, we have:

RTS = \((A * h^1 * x^2b^2) / (A * x^1 * h^1 * b^2 * x2(b^2-1))\)

    =\((x^2b^2) / (x^1 * b^2 * x2(b^2-1))\)

    = \((x^2b^2) / (x^1 * x2(b^2-1))\)

To find the isocline defined by RTS = 1, we set RTS equal to 1:

1 =\((x^2b^2) / (x^1 * x2(b^2-1))\)

Simplifying, we get:

\(x2(b^2-1) = x^1 * x^2b^2\)

This equation represents the isocline defined by RTS = 1 for the given Cobb-Douglas production function.

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Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Answer: y = 2/3x + 1

Step-by-step explanation: Slope is always slope = Change in y/Change in x

The change in y (the second point) is 2, and the change in x (the first point) is 3. Our y intercept is 1, so it will pass through (0,1)

Answer:

$1.53

Step-by-step explanation:

Weight of orange = 36 grams

Number of oranges purchased = 10

Total grams of oranges purchased :

Weight per orange * number of oranges

36 grams * 10 = 360 grams

Selling price per kg = $4.25

Price per gram = $4.25 / 1000 = $0.00425 per gram

Selling price of 360 g :

360 * $0.00425

= $1.53

Answer:

1 tennis ball would cost £3

Answer:

3

Step-by-step explanation:

(I used the table method and ratio method)

3x3 is 9

3x2 is 6

3x1 is 3

9 divided by 3 is 3

The points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)

The coordinates of the first point = (2, -10)

Using the number line we can only find the distance when the y coordinates or the x coordinates of the lines are equal

Here the first point is (2, -10)

The next point should be same quadrant, then the x coordinate will be positive and y coordinate will be negative

The points with same x coordinates = (2, -9)

The points with same y coordinates = (10, -10) and (7, -10)

Hence, the points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)

The complete question is

Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply. (10, –10) (3, –2) (2, –9) (7, –10) (9, –2) (10, –2) (12, –1)

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Answer:

Radius: 7.75; Volume: 142 (rounded to 3 s.f.)

Step-by-step explanation:

The vollyball is a sphere.

The diameter of a sphere is twice as much as its radius.

Radius = 15.5 ÷ 2

           = 7.75

The volume of a sphere is \(\frac{3}{4} \pi\)r² where r is the radius.

Volume =  \(\frac{3}{4} \pi\)(7.75)²

             = 45.046875\(\pi\)

             = 142 (rounded to 3 s.f.)

Based on the vertical line test, y is not a function of x in the given graph because the line drawn intercepts the graph at two points.

The vertical line test is used to test whether a relation that is graphed is a function or not.

To conduct the vertical line test, a vertical line is drawn to cut through the graph that represents a relation. If the line intersects the graph at exactly one point, then it is a function. If the line intersects the graph at more than one point, then the graph does not represent a function.

The image attached below shows the vertical line test. The line intercepts the graph at two points, therefore, the relation that is represented by the graph is not a function.

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Answer:

I don't see the equation options.  See below for a predicted equation.

y= (2/3)x + 4

Step-by-step explanation:

The points are (-3,2), (0,4), and (3,6).  I will assume they lie in a straight line.

Find an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

m, the slope, is also known as the "Rise/Run."

Pick any two points.  I'll use (0,4) and 3,6)

Rise = (6-4) = 2

Run  = (3-0) = 3

Slope = 2/3

The equation becomes y = (2/3)x + b

B is easy in this case.  Point (0,4) tells us that y = 4 when x = 0 (the definition of b).

The equation is y= (2/3)x + 4

See the attached graph.

Answer:

im not really good at drawing but Can I ask a question can I help you with other questions?

Step-by-step explanation:

The cost of one baseball is $4 and the cost of one ping-pong ball is $1.5.  The cost of one baseball can be represented as "2x + 1" dollars.

Let's assume the cost of one ping-pong ball is represented by "x" dollars.

According to the given information, one baseball costs one dollar more than two ping-pong balls. Therefore, the cost of one baseball can be represented as "2x + 1" dollars.

Now, let's set up the equation based on the total cost of the baseballs and ping-pong balls.

The total cost of ten baseballs would be 10 times the cost of one baseball, which is 10(2x + 1) dollars.

The total cost of four ping-pong balls would be 4 times the cost of one ping-pong ball, which is 4x dollars.

According to the problem, the sum of these costs is $46.

So, we have the equation:

10(2x + 1) + 4x = 46

Now, let's solve the equation to find the values of x and y.

Expanding the equation:

20x + 10 + 4x = 46

Combining like terms:

24x + 10 = 46

Subtracting 10 from both sides:

24x = 36

Dividing both sides by 24:

x = 36/24

Simplifying:

x = 3/2 = 1.5

Now that we have found the value of x, we can substitute it back into one of the equations to find the value of y.

Let's use the equation for the cost of one baseball:

y = 2x + 1

y = 2(1.5) + 1

y = 3 + 1

y = 4

Therefore, the cost of one baseball is $4 and the cost of one ping-pong ball is $1.5.

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The mean and standard deviation of the number of people with blood type a-positive in 100 randomly selected is μ=85, σ=3.5707

The standard deviation is a statistic that measures the amount of variation or dispersion of a group of values.

Standard deviation is usually abbreviated SD and is most commonly represented in mathematical texts and equations by the lower case Greek letter (sigma) for population standard deviation or the Latin letter s for sample standard deviation.

A low standard deviation indicates that the values are close to the mean of the set (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a broader range.

Given, The population proportion of success is p=0.85

And also given that the sample size is n=100

b) The population mean is:

μ=np

μ=100(0.85)

μ=85

Therefore, mean=85

And the population standard deviation is:

σ=√np(1-p)

σ=√100(0.85)(1-0.85)

σ=3.5707

Therefore, standard deviation=3.5707

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The complete question is:

" Rh - positive blood appears in 85% of the population in the USA. a) Verify that it's possible to use the normal approximation to binomial distribution if a sample size is 100 randomly selected people. b) Find the mean and standard deviation of the normal distribution."

Answer:

No, I think and yes.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

no cap