John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards?

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

9514 1404 393

Answer:

  widen

Step-by-step explanation:

The vertical scale factor is 3/4, so the vertical extent is shortened at a given x-value distance from the axis of symmetry. That will give the appearance of making the parabola (slightly) wider.

Answer:

Step-by-step explanation:

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

(3xy - 1)/3x = b

Step-by-step explanation:

make b the subject of formula

then simply it

did you get it

Answer:

b=Y-x/3

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

have a great day and thx for your inquiry :)

The probability that she will select a black pen both times if she takes a pen from the box without replacing the first one is 41.176%.

Given that

Six black, four blue, and seven red pens are included in a box. Clarissa takes a black pen at random from the box without even looking.

We have to find what is the probability that she will select a black pen both times if she takes a pen from the box without replacing the first one.

Based on the given conditions, formulate:

7/(7+6+4)

7/(13+4)

7/17

0.41176

41.176%

Therefore, the probability that she will select a black pen both times if she takes a pen from the box without replacing the first one is 41.176%.

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Answer:

The probability that at least one of the children get the disease from their mother is 0.7125.

Step-by-step explanation:

We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.

Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.

Let Probability that children get the disease from their mother = P(A) = 0.34

SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)

where A' = event that children do not get the disease from mother.

So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66

Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother

                     = 1 - P(X = 0)

                     = 1 - (0.66 \(\times\) 0.66 \(\times\) 0.66)

                     = 1 - 0.2875 = 0.7125

Answer:

After 3 minutes

Step-by-step explanation:

In fact i have written an inequality to express the situation.

The expression equivalent to\((1/\sqrt y)^(^-^1^/^5^) is y^(^1^/^5^)/ \sqrt y\).

To simplify the expression (1/√y)^(-1/5), we can use the rule for negative exponents, which states that a negative exponent is equivalent to a positive exponent when the base is moved to the opposite side of the fraction.

First, we can simplify (1/√y) by rationalizing the denominator as follows:

1/√y = 1/√y * √y/√y = √y/√(y^2) = √y/y

Therefore, (1/√y)^(-1/5) can be written as:

\([(\sqrt y/y)^(^-^1^)]^(^1^/^5^)\)

Next, we can use the rule for raising a power to another power, which is to multiply the exponents:

\([(\sqrt y/y)^(^-^1^)]^(^1^/^5^) = (\sqrt y/y)^(^-^1^/^5^)\)

Finally, we can use the negative exponent rule again to rewrite (√y/y)^(-1/5) as:

\((y/√y)^(1/5)\) = \((1/\sqrt y)^(^-^1^/^5^) is y^(^1^/^5^)/ \sqrt y\)

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If Triangle SRTs angle R is 59° angle T is 79°  the length of ST to the nearest 10th of a yard is 6.1

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST .

To find the length of ST, we can use the Law of Sines, which states:

sin(T) / SR = sin(R) / ST

sin(79°) / 7 = sin(59°) / ST

0.14 = sin(59°) / ST

ST =  sin(59°)/0.14 ⇒ 0.8572 / 0.14 ≈ 6.1229

Therefore, the length of ST is approximately 6.1 yards to the nearest tenth of a yard

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The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

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

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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The factors of the polynomial function f(x) must be x, x + 6  and x + 3

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

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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Answer:

\(L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]\)

Step-by-step explanation:

Given that:

\(f(t) = 12 cos (t- \dfrac{\pi}{6})\)

recall that:

cos (A-B) = cos AcosB + sin A sin B

∴

\(f(t) = 12 [cos\ t \ cos \dfrac{\pi}{6}+ sin \ t \ sin \dfrac{\pi}{6}]\)

\(f(t) = 12 [cos \ t \ \dfrac{3}{2}+ sin \ t \ sin \dfrac{1}{2}]\)

\(f(t) = 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t)\)

\(L(f(t)) = L ( 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t) ]\)

\(L(f(t)) = 6 \sqrt{3} \ L [cos \ (t) ] + 6\ L [ sin \ (t) ]\)

\(L(f(t)) = 6 \sqrt{3} \dfrac{S}{S^2 + 1^2}+ 6 \dfrac{1}{S^2 +1^2}\)

\(L(f(t)) = \dfrac{6 \sqrt{3} +6 }{S^2+1}\)

\(L(f(t)) = \dfrac{6( \sqrt{3} \ S +1 }{S^2+1}\)

\(L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]\)

Answer:

Step-by-step explanation:

A concave polygon can never be regular (all sides and angles must be congruent). Hope this helps..

Step-by-step explanation:

If journal prices increased by 15% each year, after 15 years the total price increase would be calculated as follows:

(1 + 0.15)^15 = 2.25

So the total price increase over 15 years would be 225%. This matches the increase reported in the library's report, which concluded that the price increase was 15% per year

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The zeros of the function defined by

h(x) = x³ – 4x² – 5x are x = 0, x = 5 and x = -1

The zeros of a function, also referred to as roots or x-intercepts, occur at x-values where the value of the function is 0. It is simply the values of x when f(x) is equal to 0.

For x = 0, we substitute 0 for x in the function h(x);

h(0) = (0)³ - 4(0)² - 5(0)

h(0) = 0

For x = 1, we substitute 1 for x in the function h(x);

h(1) = (1)³ - 4(1)² - 5(1)

h(1) = 1 - 4 - 5

h(1) = -8

For x = -5, we substitute -5 for x in the function h(x);

h(-5) = (-5)³ - 4(-5)² - 5(-5)

h(-5) = -125 - 100 +25

h(-5) = -200

For x = 5, we substitute 5 for x in the function h(x);

h(5) = (5)³ - 4(5)² - 5(5)

h(5) = 125 - 100 - 25

h(5) = 0

For x = -1, we substitute -1 for x in the function h(x);

h(-1) = (-1)³ - 4(-1)² - 5(-1)

h(-1) = -1 - 4 + 5

h(-1) = 0

Therefore, the values of x that makes the function h(x) = x³ – 4x² – 5x equal to zero are; 0, 5, and -1, they are the zeros of the function h(x).

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Answer:

wait

Step-by-step explanation:

wait

Answer:

31.5

divide x/2 than times 7, put 7 on both sides only cross the 7 and 7 but divide x/2 than multiply by 7 and you get ur answer. AKA the right  answer

Answer:

Step-by-step explanation:

Answer:The cost of petrol used in November is £86

Step-by-step explanation:

Here, we are interested in calculating the cost of the petrol the car used in the month of November.

We proceed as follows;

Total miles driven = 580 miles

Now, on a gallon of petrol, the car will travel 33.5 miles

Thus, the amount of gallon of petrol

used for 580 miles will be 580/33.5

Let’s convert this to liters

Since 1 gallon is 4.55 liters, 580/33.5 gallons will be 580/33.5 * 4.55 = 78.78 liters

now the cost of 1 liter is 1.09, the cost of 78.78 will be 78.78 * 1.09 = 85.87

To the nearest pounds, we have the cost as £86.

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

x ≥ 4

Step-by-step explanation:

Given the inequality 4x-1≥15

Add 1 to both sides

4x-1+1≥15+1

4x≥16

Divide both sides by 4

4x/4 ≥ 16/4

x ≥ 4

Hence the solution is x ≥ 4

Answer:

65c

Step-by-step explanation:

The size of a matrix is typically described using the number of rows and columns.

Size of matrix A = 3 × 5

Given,

Matrix A.

Here,

The size of a matrix is an important factor in determining its properties and the operations that can be performed on it.

So,

Number of rows in matrix A = 3

Number of columns in matrix A = 5

So the size or order of the matrix is 3 × 5 .

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for number 4 it's A and D

for number 5 it's E

The triangles are solved and the isosceles triangles are A and D

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

a)

The acute triangles are which has angles less than 90°

So , triangle C , triangle E and triangle A are acute

b)

The obtuse triangles are having angles greater than 90°

Triangle D is obtuse

c)

The scalene triangles have all different angles and sides

So , Triangle C is scalene

d)

The isosceles triangles have 2 congruent sides

So , triangle A and triangle D are isosceles

e)

The equilateral triangle is Triangle E with all sides equal

f)

The right triangle is triangle B with 90°

Hence , the triangles are solved

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Answer:

The price would be decreased by 18 bozats

Step-by-step explanation:

The following information is given in the question

x = number of kilograms of snig sold

P = Price per kilogram

And, the equation is

p = 300 - 18x

Now if an extra kilogram is sold so it should be x+1

Now the new price is

New price = 300 - 18(x + 1)

= 300 - 18x - 18

Therefore the price would be decreased by 18 bozats

Given that:

Price-demand equation is

\(p=300-18x\)

where, x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat.

To find:

The price which needs to decrease to sell an additional kilogram of snig,

Solution:

We have,

\(p=300-18x\)

If x=1, then

\(p=300-18(1)\)

\(p=300-18\)

\(p=282\)

It means, the price is 282 if 1 kg of snig sold.

Similarly,

If x=2, then

\(p=300-18(2)\)

\(p=300-36\)

\(p=264\)

It means, the price is 264 if 2 kg of snig sold.

Change in price if sales increased by 1 kg is

\(264-282=-18\)

Here, negative sign means decrease in price.

Therefore, the price needs to decrease by 18 to sell an additional kilogram of snig.

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Answer: 40% OUT OF 100