I really need help please


Applying the Solution to a 3X3 System


At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?

Show up all steps please

The tangents of triangle DEF are Tan D = 0.28 and Tan F = 0.96  

The tangents of triangle JLK are Tan J = 0.8574 and Tan K = 0.5388  

In a right-angled triangle, the tangent of one of the non-right angles is defined as the ratio of the length of the opposite side to the length of the adjacent side.  

where θ is the angle between the hypotenuse and the adjacent side.          

Here we have

Two right-angled triangles

From triangle DEF,

DE = 24, EF = 7 about FD = 25  

From triangle JLK,

JL = 3, LK = 5,  JK = √34  

Using the formula, Tan(θ) = opposite/adjacent

From triangle DEF,

Tan D = EF/DF = 7/25 = 0.28

Tan F = DE/DF = 24/25 = 0.96

From triangle JLK,

Tan J = LK/JK = 5/√34 = 0.8574

Tan K = JL/JK = 3/√34 = 0.5388  

Therefore,

The tangents of triangle DEF are Tan D = 0.28 and Tan F = 0.96  

The tangents of triangle JLK are Tan J = 0.8574 and Tan K = 0.5388  

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The triangles are given in picture

Answer:

c) none of the above

Step-by-step explanation:

this is because we should put the equation like:

1/3 - (-4/3) because the distance is 5 units and

1/3 + 4/3 = 5/3

this is because (-) × (-) = (+)

Answer:

1) selling price is 1.07 multiplied by whatever they paid for the car

2) selling price is $1.35

Step-by-step explanation:

2) to get 80% markup on 0.75 you can multiply 0.75 x 1.8

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19

19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

14 children do not like vanilla ice-cream.

answer

£2

explanation

12÷50%=6

12÷33%=4

6+4=10

12-10=2

Answer:

2.04 pounds left.

Step-by-step explanation:

Whitney has 12 pounds pocket money

She spends 50% of it on magazines

50% of 12 pounds is 50/100 * 12 = 600/100 =         6 pounds

33% of 12 pounds is 33/100 * 12 = 395/100             3.96 pounds

Total Spent                                                                9.96 pounds

Amount left = 12 - 9.96 = 2.04

She has 2.04 pounds left.

The man still owes R87,726 in taxes.

To calculate the tax amount the man still owes, we need to determine his taxable income first.

Gross income: R500,000

Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000

Taxable income: R500,000 - R85,000 = R415,000

Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.

Tax owed: R93,135 + 36% of (taxable income - R393,200)

Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)

Tax owed: R93,135 + 0.36 * R21,800

Tax owed: R93,135 + R7,848

Tax owed: R100,983

Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.

Tax owed - Rebate: R100,983 - R13,257 = R87,726

Therefore, the man still owes R87,726 in taxes.

The correct option is not provided among the given answer choices.

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Answer:

I believe the answer is

x + 4 = 6.5

-4 -4

__________

x = 2.5

Step-by-step explanation:

hope this helps!

cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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Answer:

Not a function

Step-by-step explanation:

This is not a function. It will fail the vertical line test.  For any value of x, there are two different y values.  This tells us that it is not a function

Answer:

the answer is 37/7

Step-by-step explanation:

u multiply the 5 and the seven and add the 2 and u get 37/7 so u keep the denominator the same

Answer:

A) PB M(b, m), we have;

b = 1

b = 2

b = 3

B) E(B) = 1.7

C) No they are not independent

Step-by-step explanation:

A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;

For PB M(b, m), we have;

b = 1

b = 2

b = 3

B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60

Factory R is 180 miles from the company. Thus under factory R in the table, m = 180

Now;

P_B (b) for b = 1 which is small order is;

P_B (b) = 0.3 + 0.2 = 0.5

P_B (b) for b = 2 which is medium order is;

P_B (b) = 0.1 + 0.2 = 0.3

P_B (b) for b = 3 which is large order is;

P_B (b) = 0.1 + 0.1 = 0.2

Thus;

E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)

E(B) = 0.5 + 0.6 + 0.6

E(B) = 1.7

C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.

Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.

Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;

0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

Option (2)

Step-by-step explanation:

Given:

∠1 ≅ ∠3

To Prove:

∠AXD ≅ ∠CXB

Solution:

Given question is incomplete; find the complete question in the attachment.

            Statements                                                              Reasons

1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3          1). Given

2). m∠1 + m∠2 = m∠CXB and                    

    m∠2 + m∠3 = m∠AXD                            2). Angle addition postulate

3). m∠1 + m∠2 = m∠AXD                             3). Because you can substitute

                                                                          m∠1 for m∠3

4). m∠CXB = m∠AXD                                   4).Transitive property of equality

5). ∠AXD ≅ ∠CXB

Therefore, Option (2) will be the correct option.

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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Given the figure, we can deduce the following information:

radius= 8

tangent line =5

To determine the length of C, we first redraw the figure as shown below:

Next, we use Pythagorean theorem:

where:

a=5

b=8

c=C

Then, we plug in what we know:

Therefore, the answer is:

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

r = ?

pi = 3.14

h = 17 cm

3*V = pi * r^2 h = r^2    Divide by pi

3*V/pi = r^2 h  = r^2     Divide by h

3*V/(pi*h)         =r^2      Take the square root of the left to get just  r

sqrt(3*V/(pi*h))  = r         Now solve the equation.

sqrt(3*538.25 /(3.14*17)) = r

sqrt(1614 / 53.38) =

r = sqrt(30.24)

r = 5.493

Answer:

(0,2)

(3,0)

Step-by-step explanation:

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Answer:

Kirsten makes $12.50 per hour

Step-by-step explanation:

The total is $432.50

$5 is taken out of her paycheck, so that will be negative.

35 hours is the time she spent working.

The unknown variable we are looking for is the amount she makes in one hour.

Setting up the equation, we get:

$432.50 = $35x - $5

where x is the amount she makes every hour

Solve for x:

$437.50=$35x

$437.50 / $35 = x

Therefore, x = $12.50

Using proportions, it is found that he bikes:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:

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Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

⇒Plug in places the given values in the expression x-2c and simplify

given that x=3 and c =-3

⇒\(=(3)-2(-3)\\=3+6\\=9\)

The expression evaluated at the given variables is equal to 9.

Answer:

m=7

Step-by-step explanation:

Answer:

m=7

-8m+3m=-6-9-20

-5m=-35

-35/-5=7

m=7

For fluid moving in a vector field, the flux through the rectangle's perimeter is 750.52.

Flux = ∫ F. X ds

Flux = ∫∫ delta. F da (by divergence theorem)

delta. F = d/dx(x³+4) + d/dy(ycos(3x))

            = 3x² + cos(3x)

So flux = ∫∫ 3x² + cos(3x) dy dx

            = ∫ (3x² + cos(3x)) (y)⁶₀ dx

            = 6 ∫ 3x² + cos(3x) dx

After evaluating,

             = 6(125 + sin(15)/3)

             = 750.52

Therefore, the flux through the boundary of the rectangle for fluid flowing along the vector field is 750.52

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The corresponding areas under the curves for y = 2x-x² in the interval [1, 2] and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit²

Given:

1. y = 2x-x² in the interval [1, 2]

2. y = x³-6x²+8x in the interval [0, 4]

In order to find  the area under the curve for these functions for the given intervals, we will take the integral of the functions and use the intervals as upper and lower limits: Thus:

y = 2x-x² in the interval [1, 2]  will be:

\(\int\limits^2_1 {2x-x^{2} } \, dx = \left[\frac{ 2x^2}{2}-\frac{ x^3}{3}\right]_1^2\)

                   \(= \left[x^{2} -\frac{ x^3}{3}\right]_1^2\)

Substitute the value of the upper and lower limits into x:

               =  [2²- 2³/3] - [1²- 1³/3]

              =   [4 - 8/3] - [ 1 - 1/3]

              =   [4/3] - [2/3]

              = 2/3 unit²

y = x³-6x²+8x in the interval [0, 4] will be:

 \(\int\limits^4_0 {x^{3} -6x^{2} + 8x } \, dx = \left[\frac{ x^4}{4}-\frac{ 6x^3}{3}+\frac{ 8x^2}{2}\right]_0^4\)

                               \(= \left[\frac{ x^4}{4}- 2x^3+4x^2\right]_0^4\)

                              = [4⁴/4 - 2(4)³ + 4(4)²] - [0⁴/4 - 2(0)³ + 4(0)²]

                              =  [ 64 - 128 + 64] - [0 - 0 -0]

                              = 0 unit²

Therefore, the areas under the curves y = 2x-x² in the interval [1, 2]

and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit² respectively

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Answer:

positively skewed to the right

Step-by-step explanation:

The measure of the central tendency is a profound way to describe the mean, median and mode. The measure of central tendency indicates where the center of distribution tends to be. The measure of central tendency provide a validity and answers whether the scores are high or generally low.

In this measure,The mean is usually pulled to the tail. The skewed is determined by where the tail goes, to the right side , it is positively skewed  and to the left side , it is known as negatively skewed distribution.

Given that:

In a frequency of distribution of 290 scores,

the mean  = 99

the median = 86

One would expect this distribution to be; positively skewed to the right  since the mean value is greater than the median value.

The image's distance from the mirror is -1.87, by using the mirror equation.

Note:-  Although the question is missing, I believe the issue is asking where the image is located.

To find the solution to the problem, the mirror equation can be used:

Mirror equation =  \(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)

Where,

f = mirror's focal length

\(d_{o}\) = object's distance from the mirror

\(d_{i}\) =  image's distance from the mirror

The focal length is assumed to be negative for a convex mirror in our problem.

f = -2.8 m

The object's distance (do) = 5.6m

By using the mirror equation, the image's distance from the mirror can be determined

\(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)

i.e, \(\frac{1}{d_{i} } = \frac{1}{f} -\frac{1}{d_{o} }\)

= \(-\frac{1}{2.8} -\frac{1}{5.6}\) =  \(-\frac{3}{5.6}\)

= - 0.5357

\(d_{i} =\) \(-\frac{5.6}{3}\)

= -1.87 m

The virtual nature of the image is indicated by the negative sign (located behind the mirror)

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In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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