The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation. f(n) = 12n f(n) = 36n

Answer:

£110

Step-by-step explanation:

We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.

Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:

[tex](45*4)/60[/tex]

We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:

[tex]180/60=3[/tex]

Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:

[tex]3*20=60[/tex]

Now we add our totals for a grand total of...

[tex]50+60=110[/tex]

Answer:

62+75+85+63+69+72+76+84+87+88 = 761

total scores is 10 then divde 761 by the total number of scores which is 10

761÷10 = 76.1

Answer:

p = 26.3

Step-by-step explanation:

Using the law of sines

sin 101        sin 38

---------  = ------------

42               p

Using cross products

p sin 101 = 42 sin 38

p = 42 sin 38 / sin 101

p=26.34175

To the nearest tenth

p = 26.3

Step-by-step explanation:

The second option is the answer.

Answer:

LHS = (cosA+cosB)²+(sinA+sinB)²

= (cos²A+2cosAcosB+cos²B)+

(sin²A+2sinAsinB+sin²B)

/* By algebraic identity:

(x+y)² = x²+2xy+y² */

Rearranging the terms, we get

= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)

= 1+1+2cos(A-B)

________________________

we know that,

i) cos²x + sin²x = 1

ii) cosxcosy+sinxsiny = sin(x-y)

________________________

= 2+2cos(A-B)

= 2[1+cos(A-B)]

\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}

1+cosθ=2cos

2

2

θ

= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos

2

2

(A−B)

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

=RHSRHS

Therefore,

(cosA+cosB)²+(sinA+sinB)²

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

Answer:

C : 30 SQUARE UNITS

Answer:

1) 44  

a) 7 + 37

b) 3 + 41

c) 13 + 31

2) 36

a) 5 + 31

b) 7 + 29

c) 17 + 19

3) 24

a) 5 + 19

b) 7 + 17

c) 11 + 13

4) 18

a) 5 + 13

b) 7 + 11

Expressing the numbers as sum of two odd primes we have,

Prime numbers are numbers which are only divisible by 1 and itself.

Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...

Odd numbers are numbers which are not divisible by 2.

Odd numbers are give by: 1,3,5,7,9,11,.....

2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.

So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....

Expressing the give numbers as the sum of odd prime numbers we get,

A) 44

41+3 = 44

37+7 = 44

31+13 = 44

B) 36

31+5 = 36

29+7 = 36

23+13 = 36

19+17 = 36

C) 24

19+5 = 24

17+7 = 24

13+11 = 24

D) 18

13+5 = 18

11+7 = 18

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Given:

The expression is:

[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]

To find:

The simple product.

Solution:

We have,

[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]

It can be written as:

[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]

Cancel out the common factors.

[tex]=\dfrac{5\times x}{x+3}[/tex]

[tex]=\dfrac{5x}{x+3}[/tex]

Therefore, the correct option is C.

Answer:

2 × 10⁻⁶

Step-by-step explanation:

( 1 × 10⁻³ ) ÷ ( 5 × 10² )

→ Rewrite into normal form

0.001 ÷ 500

→ Simplify

2 × 10⁻⁶

Answer:

[tex]\frac{1}{500,000}=2*10^{-6}[/tex]

Step-by-step explanation:

[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]

We have:

[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]

In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]

Answer:

[tex]AB^{2} =AD^{2} +BD^{2}[/tex]

[tex]AB^{2} =(7.5)^{2} +(4.9)^{2}[/tex]

[tex]AB=\sqrt{80.26}[/tex]

[tex]=8.96[/tex]

ΔABC tan C=AB/BC

⇒ tan 55.8= 8.96/BC ⇒BC= 8.96/tan 55.8

BC=x= 6.09

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

Hope it helps...

Have a great day!!

Answer:

Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.

Step-by-step explanation:

Juan, Pedro and Luis build a 60 meter long wall. Juan builds triple the size of Pedro and Luis double the size of Juan. How many meters did each one build?

Total length of the wall is 60 m.

Let Pedro make p length of the wall.

Juan make = 3 p

Luis make = 6 p

So,

According to the question

60 = p + 3 p + 6 p

60 = 10 p

p = 6

So, Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.  

Answer:

Options (A) and (C)

Step-by-step explanation:

Parts of the function will show the increase where y-values are increasing.

From the graph attached,

We see two parts of the graph are showing the increasing trend.

Intervals where the y-values (Values of the function) are increasing,

-2 < x < -1

1 < x < ∞

Therefore, Options (A) and (C) are the correct options.

Answer:

= 16

Step-by-step explanation:

= 8 \div 2 . 4

= 16

Answer:

[tex]8\div \:2\left(2+2\right)[/tex]

[tex]=8\div \:2\cdot \:4[/tex]

[tex]=16[/tex]

OAmalOHopeO

Answer:

H0 : The mean difference in strikes between pre and post strike is equal to 0

H1 : The mean difference in strikes between pre and post strike is not equal to 0

Step-by-step explanation:

The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.

For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.

Answer:

12

Step-by-step explanation:

because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12

The required value of the PV is 12 in triangle DEF where p is the incenter.

Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.

The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.

Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.

PW = PV
PV = 12

Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.

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Answer:

Step-by-step explanation:

So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.  

Year 1 total: $2136.33

Year 2 total:$2173.29

Year 3 total:$2210.89

Year 4 total:$2249.14

Year 5 total:$2288.05

Total Paid After 5 years:$11057.70

Year 1 total interest:$36.33

Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91

Total Interest paid after 5 years:$188.05

Answer:

12.5 % was spent

Step-by-step explanation:

How much did he start with

20 + 140 = 160

He spent 20

20/160 = 1/8

.125

12.5 % was spent

Answer:

12.5%

Step-by-step explanation

ok so

20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%

Answer:

5x+y=3

Step-by-step explanation:

Slope = -5,

y intercept b=-2-(-5)×(1)=3

so, y=-5x+3

or, 5x+y=3

Answered by GAUTHMATH

Answer:

75 in^2

Step-by-step explanation:

The surface area is the sum of the areas

Area of the square:

A = s^2 = 5^2 =25

Area of one triangle

A = 1/2 bh = 1/2 (5)(5) = 25/2

There are 4 triangles

4* (26)/2 = 50

The sum is 25+50 = 75

Answer:

75 in2

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

Area of a triangle:

[tex]A=bh\frac{1}{2}[/tex]

[tex]===========================================[/tex]

Square:

5*5= 25 in.

Triangles (4):

[tex]5*5*\frac{1}{2} =12.5[/tex]

Multiply by 4.

12.5*4= 50 in.

Add all them up.

25+50= 75

Answer:

Step-by-step explanation:

7) PQ // RS,  RQ is transversal

x = 38 {Alternate interior angles are congruent}

In ΔPQR ,

x + y + ∠P  = 180   {Angle sum property of triangle}

38 + 90 + y = 180

  128 + y =  180

           y = 180 - 128

y = 52

9) Construct XY // AB

XY // AB  & AC is transversal

∠1 = ∠4     ---------(I)      {alternate interior angles are equal}

XY // AB  & BC is transversal

∠3 = ∠5     ---------(II)      {alternate interior angles are equal}

∠1 + ∠2 + ∠3 = 180   {straight line angles}

∠4 + ∠2 + ∠5 = 180    {From (I) & (II) }

Sum of three angles of triangle is 180.Hence proved.

Answer:

His loss is 90

He sold it 1710

Step-by-step explanation:

1) 1800x5/100= 90

2) 1800-90=1710

Answer:

Step-by-step explanation:

CP = ₹1800

Loss  = 5%

[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]

= ₹  1710

Loss = CP - SP

        = 1800 - 1710

        = ₹ 90

Answer: Count the dots located on the blot labeled at 2.

There are 6 dots, which mean 6 students read 2 books.

The answer is 6.

Step-by-step explanation:

Answer:

d. The APR helps compare loans with the same payback period, but with different monthly rates and different fees.

Step-by-step explanation:

A loan can be defined as an amount of money that is being borrowed from a lender and it is expected to be paid back at an agreed date with interest.

Generally, the financial institution such as a bank lending out the sum of money usually requires that borrower provides a collateral which would be taken over in the event that the borrower defaults (fails) in the repayment of the loan.

An annual percentage rate (APR) is an amount of money paid as interest by borrowers or earned on loans by lenders such as banks, expressed as a percentage of the amount borrowed or invested over a 12-month period i.e on an annual basis.

Generally, the annual percentage rate (APR) helps compare loans with the same payback period, but with different monthly rates and different fees.

Answer:

A- If you have good credit, you will get a higher APR

Step-by-step explanation:

Answer:

40 pupils speak French and English

5 pupils speak only English

Step-by-step explanation:

**The grammar has some errors, but I hope I understood it correctly to answer your question correctly!**

Here's what we know about the question:

- 1/10 of the 50 pupils speak only FRENCH

- 4/5 of the 50 pupils speak FRENCH and ENGLISH

- rest of the pupils speak only ENGLISH

Here's what we're trying to find:

- # of pupils that speaks FRENCH and ENGLISH

- # of pupils that speak only ENGLISH

Let's start of with find how many pupils speak French:

1/10 of the 50 pupils speak French. To find the # of pupils, divide 50 by 10:

50/10 = 5

5 pupils speak only French

Now let's find out how many pupils speak French and English:

4/5 of the 50 pupils speak French and English. We are going to divide 50 by 5 and then multiply the result by 4:

50/5 = 10

10 * 4 = 40

40 pupils speak French and English

Finally, let's find the number of pupils that speak only English:

The question only says that the rest of the 50 pupils speak only English.

We are going to add the other pupils who don't speak only English, then subtract that value from 50:

40 + 5 = 45

50 - 45 = 5

5 pupils speak only English

Hope that helps (●'◡'●)

OPTION C is the correct answer.

Answer:

I have no clue sorry bro.

Answer:

D. A point

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps ;)