Which equation can be used to find the length of AC?10 in.40BO (10)sin(409) = ACO (10)cos(40°) = AC10= ACsin( 40°)o cos1800) = AC

Answer:

E

Step-by-step explanation:

if the x value or y value is 0 the equation is undefined

Answer:

35 weeks

Step-by-step explanation:

If Frankie already has $150 in his bank account, we can subtract it from the cost of the game.

$499 - $150 = $349

Now we can begin to solve for the number of weeks it will take for Frankie to purchase the game system.

If he needs $349, and he adds $10 every week,

10 weeks would give him $100

5 weeks would give him $50

$100 + $100 + $100 + $50 = $350

10 + 10 + 10 + 5 = 35

It would take Frankie 35 weeks to be able to buy the game system.

Answer:

Slope = 4/3

Step-by-step explanation:

Slope= (y2-y1)/(x2-x1)

Let's say (0,1) is x2 and y2. That means (-3,-3) is x1 and y1.

(1 - -3) / (0 - -3)

(1 + 3) / (0 + 3)

4 / 3

Answer:

X=11 trust me on my mom

The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

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After 7 years, the total amount accumulated is $13,691.43.

For the given question;

The formula for compound interest is;

CI = P(1 + r/n)∧nt

The rate rate of interest is according to APR; r = 4.4% = 0.044

P = principal amount ($5800).

t  = time in years (7 years)

n = number of times interest given per time period

n = 7×12 = 84 (as compounded monthly)

CI = 5800( 1 + 0.044/84)∧(84×7)

CI = 5800×(1.36)

CI = 7891.43

Thus, the total interest formed after 7 years.

Total amount in bank = principal amount + CI

                                   = 5800 + 7891.43

                                   = 13,691.43

Therefore, the total amount accumulated after 7 years is $13,691.43.

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Answer:

0.36

Step-by-step explanation:

0.45 x 0.80

= 0.36

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

The coordinates of the points B', C', and D' are:

B': (20/3, 4)

C': (8, 12)

D': (-4, 4)

To find the coordinates of points B', C', and D' that divide the respective line segments in a 2:1 ratio, we can use the section formula.

Point B':

To find point B', which divides segment AB in a 2:1 ratio, we can use the section formula:

\(B' = ( (2 \times B) + A ) / 3\)

Substituting the coordinates of point A (0,0) and B (10,6) into the formula:

\(B' = ( (2 \times (10,6)) + (0,0) ) / 3\)

= ( (20, 12) + (0,0) ) / 3

= ( 20/3, 12/3 )

= ( 20/3, 4 )

Therefore, the coordinates of point B' are (20/3, 4).

Point C':

To find point C', which divides segment AC in a 2:1 ratio, we use the section formula:

\(C' = ( (2 \times C) + A ) / 3\)

Substituting the coordinates of point A (0,0) and C (12,18):

\(C' = ( (2 \times (12,18)) + (0,0) ) / 3\)

= ( (24, 36) + (0,0) ) / 3

= ( 24/3, 36/3 )

= ( 8, 12 ).

Therefore, the coordinates of point C' are (8, 12).

Point D':

To find point D', which divides segment AD in a 2:1 ratio, we use the section formula:

\(D' = ( (2 \times D) + A ) / 3\)

Substituting the coordinates of point A (0,0) and D (-6,6):

\(D' = ( (2 \times (-6,6)) + (0,0) ) / 3\)

= ( (-12, 12) + (0,0) ) / 3

= ( -12/3, 12/3 )

= ( -4, 4 )

Therefore, the coordinates of point D' are (-4, 4).

In summary, the coordinates of the points B', C', and D' are:

B': (20/3, 4)

C': (8, 12)

D': (-4, 4)

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Answer:

thw answer is 102148.6666

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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The expression (128 + 32) when rewritten using factoring is 4(32 + 8)

The expression in the question s given as

(128 + 32)

Express the numbers 128 and 32 as the product of their factors

i.e. we factor out 4 from the expression

So, we have

(128 + 32) = (4 * 32 + 4 * 8)

Next, we factor out the common factor (i.e. 4) from the expression

So, we have

(128 + 32) = 4 * (32 + 8)

Rewrite the above expression as follows

(128 + 32) = 4(32 + 8)

Hence, the expression (128 + 32) when rewritten using factoring is 4(32 + 8)

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On solving the provided question we can say that - the value of the trignometric function will be -cos(t)+2cosec(t)

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.

here,

(sint(t) + cos(t))\(^{2}\) =(sint +cost)(sint - cost)

=|  -cos(t)+2cosec(t) |

= -cos(t)+2cosec(t)

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Answer:

I think we could use pemdas for this

Step-by-step explanation:

parenthesis

exponents

multiply

divide

add

subtract

multiply 9 and 3 would probably be best

Answer:

add -15 and 9

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

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Answer:

52nd percentile

Step-by-step explanation:

The sorted data :

36.0, 37.0, 39.5, 40.0, 40.5, 43.0, 44.0, 45.5, 45.5, 46.5, 48.0, 48.00, 49.0, 50.0, 51.5, 52.5, 53.0, 53.5, 54.0, 57.3, 57.5, 58.0, 58.5, 59.0, 59.5, 60.0, 61.0, 61.0, 61.0, 61.5, 62.0, 62.5, 63.0, 63.0, 63.5, 64.0, 64.0, 64.0, 64.5, 65.0, 66.0, 67.5, 67.5, 68.5, 70.0, 70.5, 71.5, 72.0, 72.5, 72.5, 72.5, 73.5, 74.5, 77.5

The total size of the data = 54

The value 61.0 occurs in position ; 27th, 28th and 29th

Taking the position average :

(27+28+29)/3 = 84/3 = 28th position

This means the percentile score of 61 is :

(Position average / total size) * 100%

(28/54) * 100%

0.5185185 * 100%

= 51.85%

This means that 61 inch length falls in the 52nd percentile

Answer:

Step-by-step explanation:

each function over the domain (-2,-1,0,1,2,3). As the values of the domain increase, do the values of the range increase or decrease? y=50*0.1^ (x)

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

The population distribution of scores has a similar average as the distribution of means.

In a sample distribution of means, the distribution will roughly resemble a normal distribution, the sampling distribution's mean will be equal to the population's mean, and the sampling distribution's standard deviation is based on the Central Limit Theorem.

The central limit theorem (CLT) of probability theory states that the distribution of a sample variable tends towards a normal distribution (i.e., a "bell curve") as the sample size increases, under the premise that all samples are of equal size and regardless of the population's actual distribution shape.

In other terms, the central limit theorem (CLT) is a statistical presumption that the mean of all sampled variables from the same population will be substantially equal to the mean of the entire population, given a large enough sample size from a population with little volatility. These samples likewise resemble a normal distribution in accordance with the law of large numbers, with their variances nearly matching the variance of the population as the sample size rises.

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the actual question is :

When comparing the size of the standard error of the mean with the size of the standard deviation of the underlying distribution of individual scores:

a. the standard error of the mean is always larger

b. the standard error of the mean is always smaller

c. the standard error of the mean is sometimes larger and sometimes smaller, depending on the sample size

d. none of these

The statements when completed are

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

x   y

4   -4

2   -2

-2    2

-4    4

The domain is the set of x values

So, we have

Domain = {4, 2, -2, -4}

The range is the set of y values

So, we have

Range = {-4, -2, 2, 4}

Also, we can see tha the graph decreases as x increases

This means that the graph decreases over the interval (+∝, -∝) and increases over the interval (-∝, +∝)

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Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Hello! :)

1/10 of 9000 is 900

9000 divided by 10 is 900

900 times 10 equals 9000

The answer would be 900.

Hope this helped you!

THEDIPER

Answer:

-$47

Step-by-step explanation:

If she has $146 in he account and we take away $193, we are left with -$47, making her in debt.

Answer:

The appropriate response is "(26.03, 33.97)".

Step-by-step explanation:

The given values are:

Average maternal age,

\(\bar{x} = 30\)

Standard deviation,

s = 6.2

Random sample,

n = 20

Now,

The degree of freedom will be:

⇒ \(df=n-1\)

        \(=20-1\)

        \(=19\)

"t" at confidence level 99%, will be:

⇒ \(\alpha=1-99 \ percent\)

       \(=1-0.99\)

       \(=0.01\)

⇒ \(\frac{\alpha}{2}=\frac{0.01}{2}\)

       \(=0.005\)

⇒ \(t\frac{\alpha}{2} \ df=t \ 0.005,19\)

By using the student table, we get

             \(=2.86 1\)

The margin of error will be:

⇒ \(E=\frac{t \alpha}{2,df\times (\frac{s}{\sqrt{n}})}\)

On substituting the estimated values, we get

⇒     \(=2.861\times (\frac{6.2}{\sqrt{20}})\)

⇒     \(=3.97\)

At 99%, the confidence level will be:

⇒ \(\bar{x}-E< \mu <\bar{x}+E\)

⇒ \(30-3.97< \mu < 30+3.97\)

⇒ \((26.03,33.97)\)

Thus the above is the correct approach.

Answer:

h = b - a

Step-by-step explanation:

Answer:

A/b = h

Step-by-step explanation:

A=bh

1) divide both sides by b

A/b = h

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

24.08

Step-by-step explanation:

We use the Pythagorean theorem and we get (16)^2 + (18)^2 = (x)^2

256 + 324 = x^2

x^2 = 580

x is about 24.08.