Pls help question 9 and 10

Answer:

2

Step-by-step explanation:

y    4-2=2

x     2-1=1    

2/1=1

hope it helps.

The required angles of x and y are x = 65° and y = 25°

Given is a triangle which is right angled

Thus the sum of the right angled triangle is 180 degrees

So we will write

y° + x + 90 = 180 [ angle sum property of the triangle ]

90 + x + y = 180

let the above equation be considered as equation 1

Since two sides are equal

thus the other angle will also be x°

Also the angle adjacent to 40° can be found out by linear angle property

thus according to this :

x + x + ( 90 - 40 ) = 180 °

2x + 50 = 180

thus subtracting 50 on both sides we get

2x = 130

x = 65°

Thus by equation 1

we can rewrite it as

y + x + 90 = 180

65 + 90 + y = 180

155 + y = 180

this implies y = 180 - 155

y = 25°

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x = 3

Step-by-step explanation:

[tex]{ \blue{ \sf{n(x) = 4x + 4}}}[/tex]

[tex]{ \blue{ \sf{16 = 4x + 4}}}[/tex]

[tex]{ \blue{ \sf{16 - 4 = 4x}}}[/tex]

[tex]{ \blue{ \sf{12 = 4x}}}[/tex]

Divide both the sides with 4

[tex]{ \blue{ \sf{ \frac{12}{4} = \frac{4}{4}x}}}[/tex]

[tex]{ \green{ \boxed{ \red{ \sf{x = 3}}}}}[/tex]

Step-by-step explanation:

Where's the calculator

Reflection across the y-axis is H(-1,-3), Z(-1,2) W(-4,1).

When point M (h,k) is reflected along the y-axis, the image M' with coordinates of forms in the second quadrant (-h, k).

Thus, we get the conclusion that when a point is mirrored along the y-axis, the y-coordinate stays constant but the x-coordinate changes to the negative.

H(1,-3) → H(-1,-3)

Z(1,2) → Z(-1,2)

W(4,1) → W(-4,1)

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Answer:18.43

Step-by-step explanation:

There are 255 students who prefer Movie C.

In the given case, the total number of students in the campus = 900

Number of students in the random sample :

= 31 + 27 + 34 + 28

= 120

Number of students who prefer to watch movie C in the chosen sample:

= 34

To get number of students who would prefer to watch the movies C in the total population of 900, we can extrapolate the data from the chosen sample to the entire population.

Thus, number of students expected to prefer movie C in the campus =

34/120 × 900

= 255

Hence the expected number of students are 255.

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The number of Hamilton Circuits with 8 vertices are 5040.

Given that, a complete, weighted graph with 8 vertices.

A Hamiltonian circuit is a circuit that visits every vertex once with no repeats. Being a circuit, it must start and end at the same vertex. A Hamiltonian path also visits every vertex once with no repeats, but does not have to start and end at the same vertex.

For N vertices in a complete graph, there will be (n−1)!=(n−1)(n−2)(n−3)…3⋅2⋅1 routes. Half of these are duplicates in reverse order, so there are (n−1)!/2 unique circuits.

A complete graph with 8 vertices would have = 5040 possible Hamiltonian circuits. Half of the circuits are duplicates of other circuits but in reverse order, leaving 2520 unique routes.

Therefore, the number of Hamilton Circuits with 8 vertices are 5040.

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The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). For example -

y = 4x⁴ + 3x³ + 2x² + 6x + 7

We have the following polynomial -

y = 2x⁴ - 5x³ + x² - 2x + 4

Now -

at x = 0, y = 4

at x = 1, y = 0

at x = 2, y = 32 - 40 + 4 - 4 + 4 = - 4

Refer to the graph attached. The points (0, 4), (1, 0) and (2, - 4) are plotted.

Therefore, the graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

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The total value of the ice cream shop owner's business assets would be; $286,898.

Business assets are the value of the assets of the Ice Cream Shop. The business assets consist of liabilities (amounts owed outsiders) and equity (the difference between assets and liabilities).

Business Assets:

Owned Inventory $30,500

Cash $75,420

Savings Account $28,000

Owned Equipment $15,670

Accounts Receivable $11,560

Property Value $125,768

Total assets = $286,898

Business Liabilities:

Small Business Loan $25,652

Other Debt $1,235

Building Mortgage $154,265

Total liabilities = $171,152

Equity = $115,746  ($286,898 - $171,152)

The total value of the ice cream shop owner's business assets would be; $286,898.

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Answer:

The net worth of the landscaping business is $148,708.

Step-by-step explanation:

Assets:

(Owned Inventory) $30,500

(Cash) $75,420

(Savings Account) $28,000

(Owned Equipment) $15,670

(Accounts Receivable) $11,560

(Investments) $178,925

30500+75420+28000+15670+11560+178925 = 340075

Liabilities:

(Building Mortgage) $154,265

(Small Business Loan) $25,652

(Credit Cards) $11,450

154265+25652+11450= 191367

Assets - liabilities = net worth

340075 - 191367 = 148708

So, the net worth of the landscaping business is $148,708.

An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.

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Answer:

Mark did 12 pull ups

Step-by-step explanation:

48 / 4 = 12

There is a total of 2152 yes votes

From the question, the statement is given as

The ratio of yes votes to no votes was 4 to 7

Mathematically, this can be represented as

Ratio = 4 : 7

Alternatively, we have

Yes : No = 4 : 7

Express the ratio as fraction

Yes = Yes/Yes + No

So, we have

Yes = 4/4 + 7

Evaluate the sum

Yes = 4/11

From the question, we have

Total votes = 5918

So, we have

Yes = 4/11 * 5918

Evaluate

Yes = 2152

Hence, the number of yes votes is 2152

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Answer:

How do I show you the graph because I have it

Step-by-step explanation:

Answer:

The answer to your question is,

MEAN = 43.6

MEDIAN = 43

MODE = 43

RANGE = 5

Step-by-step explanation:

BC  I know math :)

If [tex]n=25[/tex] and [tex]p=0.04[/tex], then the probability of [tex]P(X=4)[/tex] is found to be 0.001374.

What is Binomial Distribution?

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability, [tex]p[/tex]) or failure (with probability, [tex]q=1-p[/tex]).

How to Find the Probability of a Binomial Distribution?

From the given question, we have, [tex]n=25[/tex] and [tex]p=0.04[/tex]

Here, have to find the probability of [tex]P(X=4)[/tex], so [tex]k=4[/tex]

The binomial distribution formula is, [tex]P(X=k)={n \choose k}p^{k}(1-p)^{n-k}[/tex]

Substituting the given values in the above equation, we get

[tex]P(X=4)={25 \choose 4}0.04^{4}(1-0.04)^{25-4}[/tex]

[tex]\implies P(X=4)=12650 \times0.00000256\times0.4243\\\implies P(X=4)=0.001374[/tex]

Therefore, the value of [tex]P(X=4)=0.001374[/tex]

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Answer:

No

Step-by-step explanation:

It does not make sense becuse 6x9=54

And 4x9(2)=72 so it would make no sense

Answer:

[tex]\frac{7}{4}[/tex] or 1 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

I am not sure if you meant 6x or 6+x at the end of the equation. I went with what was written.

5x -3(x-3) = -5 +4x +6x  Distribute the -3

5x -3x + 9 = -5 + 4x + 6x  Combine like terms

2x + 9 = -5 + 10x  Subtract 2x from both sides

9 = -5 + 8x  Add 5 to both sides

14 = 8x  Divide both sides by 5

[tex]\frac{14}{8}[/tex] = x

[tex]\frac{7}{4}[/tex] o r 1 [tex]\frac{3}{4}[/tex]

Answer:

8421/10000

Step-by-step explanation:

8421/10000

Answer:

49

Step-by-step explanation:

35+14=49

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a) The penalty Lorna must pay for the late payment of her real estate tax is $26.50.

b) The total amount Lorna must pay on February 27 is $2,037.38.

The penalty for unpaid taxes is computed by determining the number of days the taxes remained unpaid.

Then the penalty rate is applied to the unpaid taxes multiplied by the number of days taxes were outstanding, divided by 365 days.

The product of the above multiplication and division operations is the penalty.

Outstanding real estate tax = $2,010.88

Due date for the tax = December 14, 2017

Payment date for the tax = February 27, 2018

Number of days, tax outstanding = 74 days

Penalty rate for late payment = 6.5%

Penalty = $26.50 ($2,010.88 x 6.5% x 74/365)

Total payment on February 27 = $2,037.38 ($2,010.88 + $26.50)

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The 6th term of this sequence is 360

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

Sequence representation = 2n² × 5

This means that

nth term = 2n² × 5

So, we have

f(n) =  2n² × 5

For the 6th term, the value of n is 6

i.e. n = 6

Substitute the known values in the above equation, so, we have the following representation

f(6) =  2(6)² × 5

Evaluate

f(6) =  360

Hence, the 6th term s 360

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Answer:

value of x are 2 and 3 which make the inequality true

The explicit form of the arithmetic sequence is

5, 13, 21, 29, .....

What is arithmetic sequence?

A sequence of numbers is said to be in arithmetic progression if the difference between the consecutive terms of the series are same

If the first term is a, common difference is d, then nth term of the sequence is given by

[tex]a_n = a + (n-1)d[/tex]

The recursive form of the given arithmetic series is

[tex]a_n = a_{n-1} + 8[/tex]

First term [tex]a_1 = 5[/tex]

[tex]a_2 = a_1 + 8\\a_2 = 5 + 8\\a_2 = 13[/tex]

[tex]a_3 = a_2 + 8\\a_3 = 13 + 8\\a_3 = 21[/tex]

[tex]a_4 = a_3 + 8\\a_4 = 21+8\\a_4 = 29[/tex]

So the explicit form of the arithmetic sequence is

5, 13, 21, 29, .....

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Answer:

82.96-22% = 67.83

Step-by-step explanation:

82.96-22% = 67.83

We can conclude that (C) Gibbons will live in a building that is similar to the Chimpanzee's rectangular house.

So, observe the given shapes on the graph:

Therefore, we can conclude that (C) Gibbons will live in a building that is similar to the Chimpanzee's rectangular house.

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Step-by-step explanation:

1.) The first shape is a parallelogram like prism, So we use Area of prism= Area of base shape*height

that is, Area of base shape= rectangle,L*B

35*14=490*height

490*24=11760 cm3

2.)A rectangle base prism,

Area of prism= Area of base shape*height

Area of Base shape=27*14

378cm2*21

7938cm3

3.)Square based prism,

Area of prism= Area of base shape*height

=21*21*21 (since all sides are the same)

=9261cm3