ASAP
the actual distance on a map is 50km and on the map it corresponds to 4cm on map

Answer:

C. 3⁶

Step-by-step explanation:

Exponents with the same base follow this exponential rule for division:

When the bases are the same, we can subtract the exponents.

The bases are the same in this problem: 3. Therefore, we can subtract the exponents from each other:

The final and correct answer is C. 3⁶.

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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The value of the expression is 1 / (x² \(y^4\)).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(x^{-2}\) / \(y^4\)

\(x^{-2}\) can be written as 1/x².

Now,

(1/x²)/\(y^4\)

= 1 / (x² \(y^4\))

Thus,

The value is 1 / (x² \(y^4\)).

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10(x-2) = -20

Distributing:

10(x) + 10(-2) = -20

10x - 20 = -20

Adding 20 at both sides:

10x - 20 + 20 = -20 +20

10x = 0

Dividing by 10 at both sides:

10x/10 = 0/10

x = 0

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.

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"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

As a result of answering the given question, we may state that As a equation result, the answer is B) 1/12.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides separated by an equals sign (=). For example, the equation "2x + 3 = 9" argues that the expression "2x + 3" is equal to the value "9". The purpose of equation solving is to determine the value or values of the variable(s) that make the equation true. \

Simple or complex equations, linear or nonlinear, and involving one or more variables are all possible. For example, the quadratic equation "x² + 2x - 3 = 0" involves the variable x raised to the second power. Equations are utilised in many areas of mathematics, such as algebra, calculus, and geometry.

A tree diagram can be used to calculate the likelihood of selecting a huge blue bag as the first winner.

First winner:

    /   |    \

   L    M     S

  /|\  /|\   /|\

 Y R B G Y R B G

The diagram demonstrates that the first winner has 12 possible outcomes, with each branch representing a distinct size and colour combination. Because only one of these outcomes corresponds to choosing a large blue bag, the likelihood of this occurring is 1/12.

As a result, the answer is B) 1/12.

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Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

6 or 7

Step-by-step explanation:

Answer:

oh yo tuff

dfssfc dsfv  ddfs f wqd waf sg

Answer:

A, C and E

Step-by-step explanation:

that's your answer for this question

The equation of the line in slope-point form is:

y - 7 = -4/5(x + 6)

The equation of a line in slope-point form is given by:

y - y₁ = m(x - x₁)

where:

(x₁, y₁) represents the coordinates of a point on the line.

m represents the slope of the line.

m = (y₂ - y₁)/(x₂ - x₁)

(x₁, y₁) represents the coordinates of the 1st point on the line

where (x₂, y₂) represents the coordinates of the 2nd point on the line

We have

(x₁, y₁) = (-6, 7)

(x₂, y₂) = (4, -1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (-1 - 7) / (4 - (-6))

m = -8/10

m = -4/5

Using y - y₁ = m(x - x₁):

y - 7 = -4/5(x - (-6))

y - 7 = -4/5(x + 6)

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Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:area is 12

Step-by-step explanation:

Answer:

The number 15/10 is a fraction, specifically a rational number. It can be expressed as the quotient of two integers, where 15 is the numerator and 10 is the denominator. In this case, the fraction is equivalent to 1.5, which is a decimal representation of the rational number.

Step-by-step explanation:

Answer:

Fraction, 15/10 is written out as 15 Over 10

Answer:

11

Step-by-step explanation:

for each full cup of sugar, you need 3 one-third measuring cups.

we have 3 full cups so 3×3=9

and another 2 for the 2/3, 9+2=11

so a total of 11 scoops

Answer:

f ( x ) = $1000 - $25*x

( 40 days, $0 )

( 0 days , $1000 )

Step-by-step explanation:

Solution:-

- Every quarter Hannah receives $1000 in her account for meal plan.

- So for a quarter of a year she has $1000 to spend.

- She spends $25 on food each day; hence, an amount of $25 is deducted each day.

- We can mathematically express the amount remaining in her account after ( x ) days as follows:

                    y = f(x) = Initial deposit - (per day deduction)*x

Where,

               y: The amount remaining in Hannah's account after x days.

- The initial amount is the quarterly deposit of $1000 and per day deduction is her buying food each day for $25.

                   y= f(x) = $1000 - ($25)*x

- The thing to note is that the above function f(x) is only defined over the domain of a quarter of year i.e from the first day she receives her amount till the next deposit.

- The number of days it will take for Hannah to empty her account can be determined from finding the x-intercept or ( y = f(x) = 0 ) using the function defined above:

                    f ( x ) = 1000 - 25x = 0

                    x = 1000 / 25

                    x = 40 days

- So it will take 40 days for Hannah to empty her account. As an ordered pair it can be written as:

                    ( 40 days , $0 )  ... Answer

- The initial deposit of $1000 corroborates the y-intercept of the function defined f ( x ). Or we can evaluate the derived function at f ( 0 ):

                     f ( 0 ) = 1000 - 25*0

                     f ( 0 ) = $1000

- The ordered pair for the y-intercpet would be:

                     ( 0 days , $1000 )   ... Answer  

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

four times a number less 10 is equall to 16 ia not

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

The correct variables which are continuous are,

1. Length of a frog's jump.

2. Monthly TV cable bills.

3. Lottery revenues of states.

4. Number of wheels of a car.

We have to given that;

To find correct variables which are continuous.

Since, The number of wheels of a car is a discrete variable, because it can only take certain integer values (2, 3, 4, etc.), while the other variables can take any real value within a certain range.

Hence, The correct variables which are continuous are,

1. Length of a frog's jump.

2. Monthly TV cable bills.

3. Lottery revenues of states.

4. Number of wheels of a car.

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Answer:

$134,061.09

Step-by-step explanation:

hope this helps

Answer:

134,061.09

Step-by-step explanation:

Divide 13,409,109 by 100

This can also be expressed as 134, 061 dollars, and 9 pennies.

Store revenue will be maximised, if they charge 7 dollars for each movie rental.

The entire amount of money received by an organisation's operations over a predetermined period of time is the basic definition of revenue.

A company's revenue is its total revenue before any expenses are subtracted. According to the definition, revenue is the total sum of money obtained through conducting commercial activities like sales.

Let store charge x $ for each movie.

No.of rented movies per weak = 108-9x(x-z)

Total revenue = x*[108-9(x-2)]

= x*[108-9x+18]

= x*[126-9x]

= 126x-9x^2

Total revenue will be maximised when dT/dx = 0

dT/dx = 126-9*2x

= 126-18x = 0

18x = 126

x = 7$

Store revenue will be maximised, if they charge 7 dollars for each movie rental.

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