Deena had 30 dollars to spend on 3 gifts. She spent 10 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did she have left for gift C?

The height of the steeple is 12.66 feet.

To find the height of the steeple, we will use the concept of angle of elevation. Angle of elevation is the angle between the horizontal line and the line of sight when we look up at an object.

Let's denote the height of the church as h1 and the height of the steeple as h2. Then, the total height of the church and the steeple is h1 + h2.

Using the concept of angle of elevation, we can write the following equations:

tan(35°) = h1/50 tan(47°40') = (h1 + h2)/50

Solving the first equation for h1, we get:

h1 = 50 * tan(35°) = 35.08 feet

Substituting the value of h1 into the second equation and solving for h2, we get:

50 * tan(47°40') = 35.08 + h2

h2 = 50 * tan(47°40') - 35.08

= 47.74 - 35.08 = 12.66 feet

Therefore, the height of the steeple is 12.66 feet.

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Answer:

If you mean rounding it would be 1000

Step-by-step explanation:

Is that the question?

Answer:

Simplifying

12x + 2y = 18

Solving

12x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

12x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

12x + 0 = 18 + -2y

12x = 18 + -2y

Divide each side by '12'.

x = 1.5 + -0.1666666667y

Simplifying

x = 1.5 + -0.1666666667y

Answer:

Hi

Step-by-step explanation:

First, you need to subtract both sides by 12x

12x+ 2y=18

-12x         -12x

That will give you: 2y= 18-12x

Next, you need to deviede both sides by 2

2y/2= 18-12x/2

That gives you the answer:

y= 18-6x

(im not 100%  sure but i think this is right, feel free to correct me)

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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Answer:

x = 62°

Step-by-step explanation:

the top-most angle in the top isosceles triangle must be 73° also

the third angle of the top isosceles triangle is (180 - 73 + 73) which is 34°

the left portion of the right angle must be 56°

you can find by using this equation:  x + x + 56 = 180

2x = 124

x = 62

The set that contains all the roots of the polynomial is given by:

C. {-3/2, 0,1}

They are the values of x for which F(x) = 0.

In this problem, the polynomial is given by:

F(x) = 2x³ + x² - 3x.

Hence:

2x³ + x² - 3x = 0.

2x(x² + 0.5x - 1.5) = 0.

2x = 0 -> x = 0.

x² + 0.5x - 1.5 = 0 -> (x + 1.5)(x - 1) = 0.

Then, this means that the other two roots are:

Hence the correct option is:

C. {-3/2, 0,1}

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Answer:

The only option 2 which gives the same values for m=1 and m=4 in both the expressions. ∴ Option 2 is correct.

Answer:

2nd one is the correct answer

Step-by-step explanation:

Answer: 53

Step-by-step explanation:Divide 159/3 to get the rate per second

To solve for x in: \(2x + 8 = 3x + 10\)

Collect like terms

\(→8 - 10 = 3x - 2x \\ - 2 = x\)

Therefore:

\(x = - 2\)

Answer: It's C=πr2

Step-by-step explanation: I took the test

To solve these probability questions, we can utilize the Poisson distribution, which is commonly used to model the number of events occurring in a fixed interval of time or space.

In this case, we assume the number of airplane crashes follows a Poisson distribution with an average of 2.2  per month.

(a) To find the probability of less than 5 accidents in the next month, we sum up the probabilities of having 0, 1, 2, 3, and 4 accidents using the Poisson distribution formula. The probability can be calculated as follows:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

(b) To calculate the probability of more than 2 accidents in the next 3 months, we need to find the complement of having 0, 1, or 2 accidents in the next 3 months. We can calculate the complement as follows:

P(X > 2 in 3 months) = 1 - [P(X = 0 in 3 months) + P(X = 1 in 3 months) + P(X = 2 in 3 months)]

(c) To determine the probability of exactly 6 accidents in the next 4 months, we use the Poisson distribution formula:

P(X = 6 in 4 months)

To calculate these probabilities, we need to use the Poisson distribution formula with the given average rate of 2.2 crashes per month.

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Answer:

The shorter side: longer side is 385:512

Step-by-step explanation:

We are given that A man has 166 feet of fencing to build the pen

We are supposed to find If one end is a square, find the outside dimensions, if a = 6.

Side of square = x

Perimeter of square =\(4 \times side = 4x\)

a=6

Length of rectangular part = x+a = x+6

Breadth of rectangular part = x

Perimeter of rectangular part = 2(l+b)=2(x+6+x)=2(2x+6)

So, ATQ

4x+2(2x+6)=166

4x+4x+12=166

8x=154

x=19.25

Shorter side = 19.25

Longer side = x+6=19.25+6=25.6

So, the shorter side: longer side =\(\frac{19.25}{25.6}=\frac{385}{512}=385:512\)

Hence the shorter side: longer side is 385:512

Answer:

a)

We know that:

There is a fixed cost of $7

for each mile, you need to pay $0.65

Then if you take the taxi for "m" miles, the total cost is:

c(m) = $0.65*m + $7

Now we know that Gavin also gives a $3 tip, so we need to add this to the cost:

c(m) = ($0.65*m + $7) + $3 = $0.65*m + $10

c(m) = $0.65*m + $10

Now we know that he paid a total of $62.65

Then:

c(m) = $62.65 =  $0.65*m + $10

This is the equation we need to solve in order to find m, the number of miles between Gavin's house and the airport.

b)

$62.65 =  $0.65*m + $10

We only need to isolate m, we will get:

$62.65 - $10 =   $0.65*m

$52.65/$0.65 =  m = 81

This means that there are 81 miles between the airport and Gavin's house.

Answer:

  127/924 ≈ 0.1374

Step-by-step explanation:

Given a box with 2 pennies, 4 nickels, 6 dimes, you want the probability that 6 randomly chosen coins will have a value of 50 cents or more.

The ways 50 cents (or more) can be made from those coins are ...

There is 6C6 = 1 way to choose 6 dimes.

There are (6C5)(4C1) = 6·4 = 24 ways to choose 5 dimes and 1 nickel

There are (6C5)(2C1) = 6·2 = 12 ways to choose 5 dimes and 1 penny

There are (6C4)(4C2) = 15·6 = 90 ways to choose 4 dimes and 2 nickels

The total number of ways to get 50¢ or more is ...

  1 +24 +12 +90 = 127

The total number of ways to choose 6 coins from the 12 is ...

  12C6 = 924

The probability of choosing 6 coins that total 50¢ or more is ...

  127/924 ≈ 0.1374

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The solution for the given equation √2x - 7 = 1 is  extraneous .

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Solve for x , √2x - 7 = 1

1x − 2+1x + 2=4(x − 2)(x + 2) .

1x − 2+1x + 2=4(x − 2)(x + 2)

(x − 2)(x + 2)(x − 2)+(x − 2)(x + 2)(x + 2)=4(x − 2)(x + 2)(x − 2)(x + 2)

(x−2)+(x+2)=4

2x=4

x=2

However, since division by zero is prohibited, the number 2 is not included in the range of the original equation because it would reduce one of the fractions' denominators to zero.

As a result, it can't be one of the roots of the initial equation.

2 is therefore an erroneous solution. As a result, the equation has no answers.

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a. Ashley would need to invest approximately $49,302.55 in one lump sum today. b. Ashley would need to put away approximately $9,167.42 annually to accumulate the required capital in 6 years. c. Ashley already has $20,000 saved, she would need to put away approximately $6,111.57 annually to accumulate the required capital in 6 years.

a. To determine how much Ashley would need to invest today, in one lump sum, to end up with $70,000 in 6 years, we can use the future value formula:

Future Value (FV) = Present Value (PV) * (1 + interest rate)^time

In this case, FV = $70,000, interest rate = 7% (0.07), and time = 6 years. Plugging in these values into the formula, we can solve for PV:

$70,000 = PV * \((1 + 0.07)^6\)

PV = $70,000 /\((1.07)^6\)

PV ≈ $49,302.55

Therefore, Ashley would need to invest approximately $49,302.55 in one lump sum today.

b. If Ashley is starting from scratch, we need to calculate how much she would have to put away annually to accumulate the needed capital in 6 years. This can be calculated using the present value of an ordinary annuity formula:

PV = Annual Payment * [(1 - (1 + interest rate)^(-time)) / interest rate]

In this case, PV = $70,000, interest rate = 7% (0.07), and time = 6 years. Plugging in these values, we can solve for the annual payment:

$70,000 = Annual Payment *\([(1 - (1 + 0.07)^(-6)) / 0.07]\)

Annual Payment ≈ $9,167.42

Therefore, Ashley would need to put away approximately $9,167.42 annually to accumulate the required capital in 6 years.

c. If Ashley already has $20,000 saved, we can subtract this amount from the required capital and calculate the annual payment for the remaining amount:

Remaining Amount = Required Capital - Initial Savings

Remaining Amount = $70,000 - $20,000 = $50,000

Using the same formula as in part b, we can calculate the annual payment:

$50,000 = Annual Payment\(* [(1 - (1 + 0.07)^(-6)) / 0.07]\)

Annual Payment ≈ $6,111.57

Therefore, if Ashley already has $20,000 saved, she would need to put away approximately $6,111.57 annually to accumulate the required capital in 6 years.

d. Ashley can use an investment plan to help reach her objective by following these steps:

- Set a specific financial goal, such as accumulating $70,000 in 6 years.

- Determine the required investment amount, whether it's a lump sum or an annual payment.

- Consider her risk tolerance and investment options. Since she estimates a 7% return, she can explore various investment vehicles like stocks, bonds, mutual funds, or other investment instruments.

- Develop an investment plan that aligns with her financial goals and risk tolerance. This plan may involve diversifying her investments, considering different time horizons, and regularly monitoring her progress.

- Continuously track the performance of her investments and make adjustments if needed.

- Stay disciplined and committed to her investment plan, making regular contributions or adjusting investments as necessary to reach her desired capital.

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Answer: what he said^

Step-by-step explanation: i like the points

In the circle , the correct statement is A) \(\overline{AB}\)   is an internal part of a secant segment. line segment cap g cap A is an internal part of a secant segment.

A chord should be treated as the segment that contains the endpoints on the circle. A tangent line refers to the line that touches a circle at only one point. A diameter refer to a chord that passes via the center of the circle. A secant line should be a line that touches a circle at two points.

Here \(\overline {AB}\) is secant line , because Secant intersects the circle exactly at two points.

The measure of an angle formed by a tangent and a secant or two secants or two tangents which intersect outside the circle is one half the positive difference of the measures of the intercepted arcs.

Hence the answer is \(\overline{AB}\) is a secant line.

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Answer:

e

Step-by-step explanation:

The spread of a data can be determined by calculating the range of the data

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

A = 7 - 1 = 6

B = 9 - 3 = 6

C = 8 - 1 = 7

D = 7 - 1 = 6

E = 9 - 1 = 8

Dataset E has the largest spread

Answer:

Data set:E

Step-by-step explanation:

Answer:

The answer is B

- have a good day

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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Answer:

(4, 5)

Step-by-step explanation:

i hope this helps :)

Answer:

(4, 5)

Step-by-step explanation:

See attached image

The Mean, Variance, Standard Deviation, and Coefficient of Variation for the given sample of the number of severe car accidents in 1-90 from 2015 to 2020 are:

Mean = 224.833

Variance = 1956.0667

Standard Deviation (SD) = 108.319

Coefficient of Variation (CV) = 48.163%

From the question above, Given data is: 256, 189, 172, 220, 320, 192

Mean, variance, standard deviation and coefficient of variation for the given sample of the number of severe car accidents in 1-90 from 2015 to 2020 are given below:

The mean of data is equal to the sum of all data points divided by the total number of data points.

N = 6

Sum of data = 256 + 189 + 172 + 220 + 320 + 192 = 1349 ∴ Mean = 1349 / 6= 224.833

Calculation of Variance: The variance of data is the average of the squared differences from the mean.

Variance is calculated by dividing the sum of squared deviations by N-1, where N is the number of data points and then find the average.

Calculation of standard deviation: The standard deviation of data is the square root of the variance.SD = √11736.4 = 108.319

Coefficient of variation (CV): The coefficient of variation (CV) is a normalized measure of the dispersion of the data points. It is the ratio of the standard deviation to the mean.

CV is used to analyze and compare data of different sizes.

So, CV = (SD / Mean) × 100%CV = (108.319 / 224.833) × 100%= 48.163%∴

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Lucas bought 6 scarves and 4.8 hats.

Lucas has $100 to spend on scarves (X) and hats (Y).

Each scarf costs $7 and each hat costs $11.

If Lucas buys two or more scarves, he gets one scarf for free.

If he buys 4.8 hats, how many scarves does Lucas consume?

Let us suppose that Lucas buys x scarves and y hats.

He has to satisfy the following conditions:Cost of x scarves = 7x Cost of y hats = 11y

His budget is $100.

Therefore, 7x + 11y = 100 ----------- (1)

If Lucas buys two or more scarves, he gets one scarf for free.

In other words, if he buys n scarves, then he pays for (n-1) scarves.

Hence, if Lucas buys 2 scarves, he gets 1 for free and he pays for only one.

Therefore, cost of 2 scarves = 7(2-1) = $7

Similarly, if Lucas buys 3 scarves, he gets 1 for free and he pays for only two.

Therefore, cost of 3 scarves = 7(3-1) = $14 And so on...

We can write this information in a table:

Let us assume that Lucas buys n scarves. He gets (n/2) scarves for free.

Total cost of n scarves is given by:C(n) = 7(n - n/2) + 11y ----------- (2)

Since he buys 4.8 hats, we can write:y = 4.8

Therefore, equation (1) becomes:7x + 11(4.8) = 1007x = 100 - 11(4.8)7x = 45.6x = 6.51

Thus, Lucas bought 6 scarves and 4.8 hats.

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Stephen Curry is 75 inches tall.

Let's call Stephen Curry's height h.

Since the shadow length of Shaq is proportional to his height,

we can write the following ratio:

shadow length of Shaq / Shaq's height = shadow length of Curry / Curry's height

This gives

17'' / 85'' = 15'' / h

Solving for h:

h = 15'' * 85'' / 17'' = 75''

So Stephen Curry is approximately 75 inches tall.

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The value of x and y in the given system of equation are 5 and -2 respectively.

Given the equations in the question;

2x + 3y = 4 --------equ i

5x - 2y = 29-------equ ii

Using elimination method, multiply equation i by 2 and equation ii by 3

( 2x + 3y = 4 ) × 2

( 5x - 2y = 29 ) × 3

4x + 6y = 8

15x - 6y = 87

Next, we add the two equation

4x + 6y = 8

15x - 6y = 87

--------------------------------

19x +  0 = 95

Solve for x

19x +  0 = 95

19x = 95

x = 95/19

x = 5

Next, substitute x=5 into equation i and solve for y

2x + 3y = 4

2(5) + 3y = 4

10 + 3y = 4

3y = 4 - 10

3y = -6

y = -6/3

y = -2

Therefore, the value of x and y in the given system of equation are 5 and -2 respectively.

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The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.

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The value of x = 16, y = 172 and z = 2.

x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8

let x - 4z = 8 be equation (1), 12x - y - 6z = 8 be equation (2) and 42x + 3y - 2z = 8 be equation (3)

x - 4z = 8

x = 8 + 4z

12x - y - 6z = 8

12(8 + 4z) -y - 6z =8

96 + 48z - y - 6z = 8

42z - y = -88

y = 42z + 88

42x + 3y - 2z = 8

42(8+4z) + 3(42z + 88) - 2z = 8

336 + 168z + 126z + 264 - 2z = 8

168z + 126z + 2z = 336+264 - 8

296z= 592

z = 2

substituting the value of z

x = 8 + 4z

= 8 + 4(2)

8+8 = 16

y = 42z + 88

42(2) + 88

84 + 88= 172

The value of x = 16, y = 172 and z = 2.

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