What are the two modes? What mode does your calculator need to be set on? How do you change the mode?

12 or 128

by the way question is not complete

the answer is 128 , if repetition is allowed

and answer is 12 , if repetition is not allowed

Answer:

5.29

..................................

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

For more such questions on semi-annually

https://brainly.com/question/30573341

#SPJ8

Yes. It is reasonable to say that 24 more families chose Hawaii over Florida.

Thus, it is very reasonable to conclude from the survey that 24 more families chose Hawaii over Florida.

Link to related question on making conclusions from mathematical calculations at https://brainly.com/question/22224175

Hey there!☺

\(Answer:\boxed{6}\)

\(Explanation:\)

If x is equal to 4, then you will have to multiply 6 by x which is 4.

\(6*4=24\)

Now subtract 18 from 24.

\(24-18=6\)

\(6x-18=6\)

6 is your answer.

Hope this helps!☺

The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

Learn more about axioms here:

https://brainly.com/question/2857184

#SPJ8

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ1

The angle sum property of a triangle and the angle formed between a tangent and a radius of a circle indicates.

m∠ADC = 58°

A tangent to a circle is a straight line which touches the circumference of a circle at only one point.

The vertical angles theorem indicates that we get;

∠1 ≅ ∠2

Therefore; m∠1 = m∠2

The tangent to a circle indicates that we get;

The angle formed at vertex B and Q are 90 degrees angles and the triangles ABP and AQP are right triangles, which indicates that the acute angles of each of the right triangles are complementary, therefore;

m∠1 + 26° = 90°

m∠1 = 90° - 26° = 64°

Therefore, m∠2 = m∠1 = 64°

m∠2 = m∠CAD = 64°

The segments AC and AD are radial lengths therefore, the triangle ΔACD is an isosceles triangle.

m∠ADC ≅ m∠ACD (Base angles of an isosceles triangle)

The angles ∠ADC and ∠ACD are therefore;

m∠CAD + m∠ADC + m∠ACD = 180° (Angle sum property of a triangle)

m∠CAD + m∠ADC + m∠ADC = 180°

m∠CAD + 2 × m∠ADC = 180°

64° + 2 × m∠ADC = 180°

m∠ADC = (180° - 64°)/2 = 58°

m∠ADC = 58°

Learn more on the angle sum property of a triangle here: https://brainly.com/question/22262639

#SPJ1

Using law of cosine and Pythagorean theorem, the length of BC is 18 foot and CD is 12.3 foot

a) To find the length of support member BC, we can use the Law of Cosines:

BC^2 = AC^2 + AB^2 - 2 * AC * AB * cos(m/C)

where m/C is the measure of angle C. We know that m/A = 40° and m/D = 45°, so m/C must be the supplementary angle to the sum of these angles:

m/C = 180° - (m/A + m/D) = 180° - (40° + 45°) = 95°

Substituting known values into the Law of Cosines equation, we have:

BC^2 = 10^2 + 8^2 - 2 * 10 * 8 * cos(95°)

BC^2 = 100 + 64 + 160

BC^2 = 324

BC = sqrt(324) = 18

So, the length of support member BC is 18 feet to the nearest hundredth of a foot.

b) To find the length of cable CD, we can use the Pythagorean Theorem:

CD^2 = BC^2 + AC^2 - 2 * BC * AC * cos(m/A)

Substituting known values into the equation, we have:

CD^2 = 18^2 + 10^2 - 2 * 18 * 10 * cos(40°)

CD^2 = 324 + 100 - 360 * cos(40°)

CD^2 = 424 - 360 * cos(40°)

Using the cosine formula, we can find the value of cos(40°):

cos(40°) = cos(90° - 40°) = sin(40°)

And using a reference table or calculator, we find that sin(40°) = 0.766

So, substituting the value of cos(40°) back into the equation for CD^2, we have:

CD^2 = 424 - 360 * 0.766

CD^2 = 424 - 276.56

CD^2 = 147.44

CD = sqrt(147.44) = 12.3

So, the length of cable CD is 12.3 feet to the nearest hundredth of a foot.

Learn more on cosine law here;

https://brainly.com/question/4372174

#SPJ1

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Answer:

  dh/dt ≈ 0.55 ft/min

Step-by-step explanation:

The volume is given by the formula ...

  V = (1/3)πr²h

We have r = h/2, so the volume as a function of height is ...

  V = (1/3)π(h/2)²h = (π/12)h³

Then the rates of change are related by ...

  dV/dt = (π/4)h²·dh/dt

  dh/dt = (4·dV/dt)/(πh²) = 4(35 ft³/min)/(π(9 ft)²)

  dh/dt ≈ 0.55 ft/min

Let's see

\(\\ \rm\rightarrowtail x^2-2x=0\)

\(\\ \rm\rightarrowtail x(x-2)=0\)

\(\\ \rm\rightarrowtail x=0\:or\:x-2=0\)

\(\\ \rm\rightarrowtail x=0\:or\:x=2\)

\( \green{••••••••••••••••••••••} \blue{••••••••••••••••••••••••••}\)

\( \sf {x^2 - 2x = 0} \)

\( \sf {x ( x - 2) = 0} \)

\( \sf {x = 0 \: or \: x-2 = 0} \)

\( \sf \green{ {x = 0 \: or \: x = 2}} \)

#CarryOnLearning

#LibreAngMatuto

The cost per ounce of the premium walnut is $0. 23

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

Learn more about proportion at: https://brainly.com/question/1781657

#SPJ1

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

Learn more about the total Surface Area of the Cone :

https://brainly.com/question/15153049

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

More can be learned about a system of equations at https://brainly.com/question/30374328

#SPJ1

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

Learn more on the area of a rectangle here: https://brainly.com/question/26303775

#SPJ1

It should be noted that an algebraic expression will be equal to zero when the difference is between the same expressions.

It should be noted that an algebraic expression simply means the expression that's used to show the relationship between the variables

In this case, the should be noted that an algebraic expression will be equal to zero when the difference is between the same expressions.

An example is illustrated as:

= 2x - 2x

= 0

Learn more about algebra on:

brainly.com/question/22399890

#SPJ1

Given data:

The given figure of the circle.

The angle DCA is,

BD is diameter , it means the angle BCD is 90 degrees, the angle DBC is,

The angle BOC is,

Thus, the third option is correct.

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Answer:

9000

Step-by-step explanation:

Relax this isn't really that hard. We're given a triangle with coordinates

X(4,4), Y(12,12), Z(4,12)

and we're told to dilate it around the origin by scale factor 1/4.   The origin part makes it easy; this just means we multiply all the coordinates by 1/4.

So our new triangle is

X'(1,1), Y'(3,3), Z'(1,3)

which we plot in red.

Is that third page asking for the lengths?  We have

X'Y' is the hypotenuse of a right triangle with legs 2 and 2, so

|X'Y'| = 2√2

|Y'Z'| is 3-1 = 2

|Z'X'| = 2

The rule is

(x,y) → (x/4, y/4)

Scale factors are used to enlarge or reduce the size of a shape

The coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

The coordinates of the triangle are given as:

\(X = (4,4)\)

\(Y = (12,12)\)

\( Z = (4,12)\)

The scale factor of dilation is given as:

\(k=\frac 14\)

The coordinates of the new triangle after dilation are calculated as follows:

\(X' = (4,4) \times \frac 14\)

\(X' = (1,1)\)

\(Y' = (12,12) \times \frac 14\)

\(Y' = (3,3)\)

\(Z' = (4,12) \times \frac 14\)

\(Z' = (1,3)\)

So, the dilation rule is:

\((x,y) \to \frac 14(x,y)\)

Hence, the coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

See attachment for the image of the triangle

Read more about dilations at:

https://brainly.com/question/10253650

Answer:

5.5-1.5= 4.

4*0.95= 3.8

so the mid weight is 3.8oz.

Therefore, **x < 7** is the inequality that may be utilized to find x

A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).

For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".

Let x represent how many days the client paid for pet sitting.

$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.

We are aware that the customer's purchase was under $125. Consequently, we can write:

20 + 15x < 125

Putting this disparity simply:

15x < 105

x < 7

To know more about inequality visit:

brainly.com/question/11536194

#SPJ1

Answer: \(f^{-1}(x) = (x-3)^2\)

Step-by-step explanation:

We are given that \(f(x) = \sqrt{x} + 3\).  A trick to solve for the inverse is to switch the f(x) and x in the equation. This gives us

\(x = \sqrt{f(x)} + 3\)

Now, we can solve for this f(x) which gives us

\(x = \sqrt{f(x)} + 3\\x -3 = \sqrt{f(x)}\\(x -3)^2 = f(x)\)

Then we simply let that \(f(x)\) be \(f^{-1}(x)\).  Thus, we have \(f^{-1}(x) = (x-3)^2\)

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$