Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent. round to the leading digit to determine approximately how many countries edna has visited.

Answer:

r = ± \(\sqrt{S+2t}\)

Step-by-step explanation:

S = r² - 2t ( add 2t to both sides )

S + 2t = r² ( take square root of both sides )

± \(\sqrt{S+2t}\) = r

Answer:

y=7

Step-by-step explanation:

7y-3y=19+9

4y=28

y=7

Answer: y = 7.

Step-by-step explanation:

First you need to combine like terms. The like terms in this is 7y & 3y and -9 & 19. So to combine those like terms, you first need to subtract 3y on both sides because to cancel out the 3y in the right side, you need to perform the opposite operation on the positive 3. And 3y - 3y is 0 so thats why you subtract 3y on both sides. When you subtract 3y from 7y on the left side (because 3y is the like term of 7y and what operation you do on one side you have to do on the other side of the equation) you get 4y - 9 = 19. Now you still need to combine the like terms -9 and 19 so you need to add 9 on both sides to get 4y = 28. Since 4 is being multiplied by "y" to get "y" by itself in the left side of the equation, you need to divide 4 on both sides. 28 ÷ 4 = 7, so your final answer would be y = 7!

I hope this is helpful :)

Answer:

-380

Step-by-step explanation:

7 - 9(8 + 5f)

7 - 9(8 + 5(7))

7 - 9(8 + 35)

7 - 9(43)

7 - 387

-380

Best of Luck!

Answer:

-380

Step-by-step explanation:

7-9(8+5f) with f = 7

substitute the variable with the number

7-9(8+5 x 7)

do the parenthesis first using P.E.M.D.A.S.

7-9(8+35)

7-9(43)

7 - 9 x 43

7 - 387

-380

Question

What is the diameter of 11.94 cm circumference

Answer:

Soln,

We know that  diameter = * 2 radius

radius = 11.94/2= 5.97 half of diameter and when you multiply with 2 ,Then it comes 11.94cm  

Now

Step-by-step explanation

Circumference = 2πr

11.94 = 2*22/7*r

11.94 = 6.28r

r= 11.94/6.28

therefore, r= 1.90 cm

Now

We know that  diameter = * 2 radius

diameter = 1.90*2 = 3.80 cm

answer checking,

Circumference = 2πr

c= 2*22/7*1.90

therefore c = 11.94 cm

ans proved

plz mark me brainliest and thanks

have a good day ahead ; )

Answer:

a.12.6   b.8.0

Step-by-step explanation:

The sum of the angles of any triangle is 180°.

75° + 75° + m<BAC = 180°

m<BAC = 180° - (75° + 75°) = 30°

Answer:

2

Step-by-step explanation:

2

The circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

The circumference and area of a circle of radius 4.2 cm can be calculated using the following formulas:

Circumference = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14.

Area = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14.

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Given the radius of the circle as 4.2 cm, the circumference of the circle can be found by using the formula for the circumference of a circle. The circumference of a circle is the distance around the circle and is given by the formula C = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the circumference of the circle is calculated as follows:

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Similarly, the area of the circle can be found by using the formula for the area of a circle. The area of a circle is given by the formula A = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the area of the circle is calculated as follows:

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Therefore, the circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

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Answer:

look at the photo..........

Answer:

The GCF for the variable part is

x

2

y

2

.

GCF

Variable

=

x

2

y

2

=====================================================

Work Shown:

(2 cm)/(7 m) = (7.5 cm)/(x meters)

2/7 = 7.5/x

2x = 7*7.5

2x = 52.5

x = 52.5/2

x = 26.25

7.5 cm on paper corresponds to 26.25 meters in real life.

side note: 26.25 meters = 86.122 feet approximately

Answer:

Step-by-step explanation:

1/8=0.125

rounded to the nearest thousand is 0

The domain can be matched with function as

function1        x≥0

function 2      All real numbers

function 3      x≥-2

function 4       All real numbers

function 5           x≥0

function 6         All real numbers

This is the function's domain because it only applies to the range [0, 4]. It should be noted that there are several ways to specify a function's domain, including interval notation, set notation, and the use of inequalities. The matching cam be done as

Regarding the functions 2, 4, and 6. All real numbers will be in the domain since they are linear functions of x.

Due to the impossibility of taking a square root of a negative number, the domain for the functions 1 and 5 is going to be (x above or equal to zero).

The domain for function 3 will be (x higher than or equal to -2).

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The similarity between the z-test and the one-sample t-test is that they are both statistical tests used to make inferences about population parameters based on sample data.

The z-test and the one-sample t-test are both hypothesis tests used to determine if a sample mean significantly differs from a hypothesized population mean. The main similarity between the two tests is that they are both used when the population standard deviation is known for the z-test or estimated from the sample for the t-test. Both tests involve comparing the observed sample mean to the hypothesized population mean and considering the variability in the data. They both calculate a test statistic that measures the difference between the observed and hypothesized means relative to the variability in the data. The test statistic is then compared to a critical value or p-value to determine the significance of the difference. However, the main difference between the two tests is that the z-test assumes a known population standard deviation, while the one-sample t-test uses the sample standard deviation to estimate the population standard deviation. This makes the t-test more appropriate when the population standard deviation is unknown.

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Answer:

2 ×10 to the power of 10 is the answer

Answer:

30000000000

Step-by-step explanation:

6x(10^7)=60,000,000

10 to the power  of -3=0.001

0.001*2=0.002

60,000,000/0.002=30000000000

Answer:

2

Step-by-step explanation:

Answer:

They'll need to see 12 movies together before they pay the same amount.

Let the number of movies be x

Based on the question given, the equation for Jaycie will be:

= 27 + (6 × x)

= 27 + 6x

The equation for Clarie will be:

= 8.25 × x

= 8.25x

Then, the equation to solve the question will be:

27 + 6x = 8.25x

Collect like terms

27 = 8.25x - 6x

2.25x = 27

x = 27/2.25

x = 12

They will see 12 movies together.

If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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Answer:

m = 1

Step-by-step explanation:

slope is equal to the change in y over the change in x

the change in y = (-13- -10) = -3

change in x = (3 - 6) = -3

-3/-3 = 1

To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.

To find the value of k, we need to follow these steps:

Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0

This means that the curve intersects the x-axis at x = 0 and x = 2k.

Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.

Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx

Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)

Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3

Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3

Take the cube root of both sides:
k = 3

The value of k is 3 (Option b).

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The eighth term of the given geometric sequence is 256/6561.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: 2/3, 4/9, 8/27...

As we can observe, each successive term of the geometric sequence is 2/3 of the previous one.

Thus, r = 2/3  and a₁ = 2/3.

The formula used to find the nth term of a geometric sequence is given by: \(a_n=a_1(r^{n-1})\)

For n = 8, \(a_8=\frac{2}{3}(\frac{2}{3})^7=\frac{2}{3}^8=\frac{256}{6561}\)

Thus, the eighth term of the given geometric sequence is 256/6561.

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Two balls are dropped from a height of 5 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. They both experience the same impulse.

The impulse experienced by an object during a collision is given by the change in momentum of the object. Momentum is defined as the product of mass and velocity.

In this scenario, we are not given the masses or the durations of the collisions. However, we can make some assumptions to determine which ball experiences the larger impulse.

Assuming that the balls have the same mass, we can compare their velocities before and after the collision with the floor. Both balls start with the same initial velocity (downward) and experience the same change in velocity (upward) after the bounce. Therefore, the change in momentum and the impulse experienced by both balls should be the same.

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The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

# defining function to calculate total cost

def total_cost(units):

   if units <= 500:

       return units * 0.02

   elif units <= 1000:

       return (500 * 0.02) + ((units - 500) * 0.05)

   else:

       return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)

# Driver Code

consumptions = [200, 500, 700, 1000, 1500]

for i in consumptions:

   total = total_cost(i)

   print("Total cost of Electricity for", i, "units is", round(total + 5, 2))

Output:

Total cost of Electricity for 200 units is 9.0

Total cost of Electricity for 500 units is 15.0

Total cost of Electricity for 700 units is 25.0

Total cost of Electricity for 1000 units is 40.0

Total cost of Electricity for 1500 units is 90.0

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

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Answer:

"statement 1: The number of boys at the school is \(\frac{4}5\) of the number of girls." is true.

Step-by-step explanation:

Given:

Ratio of Number of boys to the number of girls = 4 : 5

Total number of students = 270

To find:

Number of boys in terms of number of girls = ?

Solution:

As per given statement,

Let, Number of boys = \(4x\)

Let, Number of girls = \(5x\)

Total number of students = Number of boys + Number of girls = 270

\(\Rightarrow 4x+5x =270\\\Rightarrow 9x=270\\\Rightarrow \bold{x = 30}\)

Therefore, number of boys = 4 \(\times\) 30 = 120

And, number of girls = 5 \(\times\) 30 = 150

As per Statement 1:

Finding \(\frac{4}5\) of the number of girls:

\(\dfrac{4}{5}\times 150 = 4 \times 30 = 120\) = Number of boys.

Finding \(\frac{4}9\) of the total number of students:

\(\frac{4}{9}\times 270= 4 \times 30 = 120\) = Number of boys.

Number of boys is equal to \(\frac{4}9\) of total number of students.

So, "statement 1: The number of boys at the school is \(\frac{4}5\) of the number of girls." is true.

The density function of the random variable Y = 1/X-1, where X is a continuous random variable with the density function f(x) = (2x - 20) for x ≥ 2, can be determined as follows:

To find the density function of Y, we need to use the transformation technique and apply the formula for transforming random variables.

Determine the range of Y:

Since X ≥ 2, we have X - 1 ≥ 1. Therefore, the range of Y is 1 ≤ Y < ∞.

Find the inverse function of Y:

To find the inverse function of Y = 1/X-1, we can rearrange the equation as X = 1/(Y+1).

Calculate the derivative of the inverse function:

We differentiate the inverse function X = 1/(Y+1) with respect to Y:

dX/dY = -1/(Y+1)²

Substitute the density function of X into the derivative:

Substituting the density function f(x) = (2x - 20) into dX/dY = -1/(Y+1)², we have:

dX/dY = -1/(Y+1)² = (2x - 20)

Solve for the density function of Y:

To solve for the density function of Y, we need to express fY(y) in terms of y. We can use the relationship between X and Y: X = 1/(Y+1).

Substituting X = 1/(Y+1) into dX/dY = (2x - 20), we get:

-1/(Y+1)² = (2/(Y+1)) - 20

Simplifying the equation, we have:-1 = 2(Y+1) - 20(Y+1)²

Expanding and rearranging the terms, we get:

-1 = 2Y + 2 - 20(Y² + 2Y + 1)

Simplifying further:

-1 = 2Y + 2 - 20Y² - 40Y - 20

Rearranging the equation:

20Y² + 38Y - 23 = 0

Solving this quadratic equation, we find the values of Y.

Once we have the values of Y, we can determine the density function fY(y) by substituting them into the equation derived from the transformation.

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Answer:

x = 5

Step-by-step explanation:

Given

2x + 7 = 17 ( subtract 7 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer: 2.91666666667

Answer:

(2 1/3) : (4/5) = 35 /12 = 2 11 /12

1. You convert the mixed number (2 1/3) into an improper fraction which is 7/3.

2.Then you find a new numerator so you multiply the whole number (2) by the denominator (3) which is 6.

3 Add the answer (6) to the starting numerator (1). The new numerator equation: 6+1=7.

4.Write the new numerator (7) over the denominator (3)

Two and one seven third is seven thirds.

5. Then you divide: 7/3 : 4/5 = 7/3 * 5/4 = 7*5/ 3*4

6. Multiply (7 and 5) and (3 and 4) which gives you 35/12.

7.Then you transform it back into a mixed number by dividing 35/12 which gives you 2 11/12.

Answer:

149 in sq

Step-by-step explanation:

split in to the 3 rectengles

top right 6x(9-6)=18

middle rec 6×(10+6)=96

bottom rec. 5x7=35

total 149

Answer:

area = 149 in.²

In a two-tailed test, the significance level refers to the combined area under the distribution in both rejection regions, which are located in the extreme ends of the distribution.

1. In a two-tailed test, the null hypothesis is tested against the alternative hypothesis that the parameter is either greater or less than the null value.
2. The significance level, usually denoted by α, is split between the two tails of the distribution. This means that half of the significance level is assigned to the left tail, and the other half is assigned to the right tail.
3. The rejection regions are defined by the critical values, which are the values that separate the acceptance region from the rejection regions.
4. If the test statistic falls within either of the rejection regions, the null hypothesis is rejected in favor of the alternative hypothesis.

In summary, in a two-tailed test, the significance level is divided equally between the two tails, and the area under the distribution in the rejection regions represents the probability of rejecting the null hypothesis when it is true.

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Answer:

8m+4g

Step-by-step explanation:

Answer:

8m+4g is the correct answer

Step-by-step explanation:

The answer above is correct, but to get some points. There you go have a nice day