5p coins weigh approximately 3 grams.
What would be the weight of £5 worth of 5p coins?
Give your answer in kg.

Answer:

5 pages per hour

Step-by-step explanation:

Here, we need the constant of proportionality in pages per hour.

This is just like having 2 sets of point of a graph and asked to find the slope

Where the pages is the y-axis or vertical axis and the number of hours is the horizontal axis.

So let’s proceed to say we have points ;

(4,20) and (5,25)

So the constant of proportionality would be;

(25-20)/(5-4) = 5/1 = 5 pages per hour

The answer is for this question is c

2(3x+2)+2(2x-1)

=10x+2

This is a polynomial

So the answer is c

Answer:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

Step-by-step explanation:

For this case if we want to find a model for the population number after some time t we can use the following general model:

[tex] P= a b^t[/tex]

And for this case [tex]a=12000[/tex] and the growth rate can be founded like this:

[tex]b= 1+0.108 = 1.108[/tex]

And then our model would be given by:

[tex] P = 12000 (1.108)^t[/tex]

Answer: The answer would be the second one.

Step-by-step explanation:

It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.

Answer: 14

Step-by-step explanation:

P(6)- Q(2) = 4

Q(5) - R(2) = 3

R(6) - S(2) = 4

S(5) - P(2) = 3

4 + 3 + 4 + 3 = 14

Brainliest is appericiated!

Answer:

Perimeter = 14

Step-by-step explanation:

to find the perimeter first find the distance between the two points :

d=√((x2-x1)²+(y2-y1)²)

PQ:(2,2)(6,2)

d=√(6-2)^2+(2-2)^2

= √16=4

PQ=4

RS: (6,5),(2,5)

d=√(6-2)^2+(5-5)^2

d=4

RS=4

QR:(6,2),(6,5)

QR=3

SP(2,5),(2,2)

SP=3

perimeter=2length+2width

P=2l+2w

p=2(4)+2(3)

p=8+6=14

Answer:

[tex]k \approx 5$ units[/tex]

Step-by-step explanation:

In Triangle JKL

[tex]\angle K=120^\circ\\\angle L=40^\circ\\KL=2\\JL=k[/tex]

We want to determine the approximate value of k using the law of sines.

[tex]\angle J+\angle K+\angle L=180^\circ $ (Sum of angles in a \triangle)\\\angle J+120^\circ+40^\circ=180^\circ \\\angle J=180^\circ-(120^\circ+40^\circ)=20^\circ[/tex]

Using Law of Sines

[tex]\dfrac{k}{\sin K} =\dfrac{j}{\sin J} \\\dfrac{k}{\sin 120} =\dfrac{2}{\sin 20} \\k=\sin 120 \times \dfrac{2}{\sin 20}\\k=5.06\\k \approx 5$ units[/tex]

Answer:

5.1

Step-by-step explanation:

Right on EDU

Answer:

The answer is below

Step-by-step explanation:

The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]

Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.

Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:

[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]

A)  3 females and 2​ males

The possible ways of choosing 3 females and 2​ males is given as:

[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]

probability of selecting 3 females and 2​ males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]

B)  4 females and 1​ males

The possible ways of choosing 4 females and 1 males is given as:

[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]

probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]

C)  5 females

The possible ways of choosing 5 females  is given as:

[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]

probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]

​(D) At least 4​ females

This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)

The possible ways of choosing atleast 4 females  is given as:

[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]

probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]

Answer:

4096

Step-by-step explanation:

used a calculator but u always do indicies first due to bidmas

Answer:

4096

Step-by-step explanation:

The little two on top of the 32 means squared or that we need to multiply 32 by itself.

So 32*32 equals 1024

Then we multiply it by 4 to give us 4096.

Answer:

2m/s south

Step-by-step explanation:

p = mv

Where p is the momentum, m is the mass, while v is the velocity.

Given that

m = 25kg

v = ?

p = 50kgm/s

Substituting the values into the formula.

50kgm/s = 25×v

50kgm/s = 25v

Divide both sides by 25

v = 50/25

v = 2m/s

From the option list, the answer is

2m/s south

Answer:

198

Step-by-step explanation:

Answer:

(5,4)

Step-by-step explanation:

10x + 20y = 130

x + y = 9

you can solve by substitution

x = 9 - y

10 (9 - y) + 20y = 130

90 - 10y + 20y = 130

90 + 10y = 130 (subtract 90 from both sides)

10y = 40

y = 4

Plug the answer back in the original equations to solve for x

x + 4 = 9 (subtract 4 from both sides)

x = 5

The number of activities that cost $10 is 4.

The number of activities that cost $20 is 5.

10a + 20b = 130 equation 1

a + b = 9 equation 2

Where:

Multiply equation 2 by 10

10a + 10b = 90 equation 3

Subtract equation 3 from equation 2

$10b = $40

b = $40 / $10

b = 4

Subtract 4 from 9: 9 - 4 = 5

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Answer:

1.7

Step-by-step explanation:

Answer:

It 7 hours and 5 minutes to complete the race because it would be 8 times 50 which equals 400 and 400 plus 250 which equals 650 and 650 divided by 60 is 7.5 which is 7 hours and 5 minutes I believe so 7.5 is the answer

Hope it helps :D

Answer:

Always the same variable.

Step-by-step explanation:

When the question says "x is always constant", it means that the x variable does not change, and it is always the same number.

Answer:

Step-by-step explanation:

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

Answer:

-1,3i,-3i

Step-by-step explanation:

X^3+x^2=-9x-9

x^3+x^2+9x+9=0

x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor

(x+1)(x^2+9)=0

x+1=0 then x=-1

(x^2+9)=0 then x=+ 0r - 3i

Answer:  -1 is the correct answer

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

We can use the distance formula. Recall the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-11,7) be [tex]x_1[/tex] and [tex]y_1[/tex], and (-5,1) be [tex]x_2[/tex] and [tex]y_2[/tex]

Plug in the numbers:

[tex]d=\sqrt{(-5-(-11))^2+(1-7)^2[/tex]

[tex]d=\sqrt{6^2+(-6)^2}[/tex]

[tex]d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8[/tex]

Answer:

1) The length of the third side is 5.607 units

2) The sum of the numbers from 1 to 100 is 5050

3) For the x-axis, foci: ((√15/28), 0) and (-(√15/28), 0)

For the y-axis, foci: (0, (√15/28)) and (0, -(√15/28))

Step-by-step explanation:

1) When two sides of the triangle are equal to 4 then the triangle is an isosceles triangle

Given that the included angle (the angle between the two sides) is 89°, we have;

The other two base angles are equal to {180 - 89)/2 = 91/2 = 45.5°

Therefore, we have from cosine rule;

a² = b² + c² - 2·b·c·cos(A)

We note that the angle opposite the third side is the included angle 89°, therefore, when we put a as the third side in the above equation, we have;

a² = 4² + 4² - 2×4×4×cos(89°)

a² = 31.44

a = 5.607

The length of the third side is 5.607 units

2) The numbers 1 to 100 form an arithmetic series with the first term, a = 1 and the common difference, d = 1 with the number of terms n = 100

The sum of an arithmetic progression, Sₙ, is given as follows;

[tex]S_n = \dfrac{n}{2}\cdot (2 \cdot a + (n - 1) d)[/tex]

Therefore, by plugging in the values, we have;

Sₙ = 100/2*(2*1 + (100 - 1)*1) = 100/2*(101) = 5050

The sum of the numbers from 1 to 100 is 5050

3) The foci of an ellipse 7·x² + 8·y² = 30 is found as follows;

Dividing both sides of the equation by 30 gives;

7/30·x² + 8/30·y² = 30/30

7/30·x² + 8/30·y² = 30/30

7/30·x² + 4/15·y² = 1

Which is of the form;

x²/a² + y²/b² = 1

For the x-axis we have

c² = a² - b²

c² = 30/7 - 15/4 = 15/28

h = 0, k = 0

Foci: ((√15/28), 0) and (-(√15/28), 0)

For the y-axis, we have;

x²/b² + y²/a² = 1

The foci are then (0, (√15/28)) and (0, -(√15/28)).

Answer:

(x-1)/x

Step-by-step explanation:

its not having any term .

Answer:

(x - 1)/x

Step-by-step explanation:

A polynomial can have variables, variables raised to exponents, and variables can be multiplied by numbers. A polynomial cannot have division by a variable, a variable in a root, a logarithm of trig function of a variable.

All are polynomials except for (x - 1)/x where there is division by a variable.

Answer:

the measure of x is 64°.

Step-by-step explanation:

here,

angle I=60° (being corresponding angle)

now, angle A+angle I +angle B = 180°(sum of interior angle of a triangle is 180°)

or, x+56°+60°=180°

or, x= 180°-116°

therefore the measure of x is 64°.

hope it will help uh..

Answer:

I would say about 85º

Step-by-step explanation:

If we make a logical guess/hypothesis, 85º is a slightly tilted right angle.

I'm sorry if my hypothesis is wrong :(

Answer:

They are congruent

Step-by-step explanation:

Answer:

Two real world situations are shown below.

Step-by-step explanation:

Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is

[tex]f(x)=1(2)^x[/tex]

[tex]f(x)=(2)^x[/tex]

A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is

[tex]f(x)=1(2)^x[/tex]

[tex]f(x)=(2)^x[/tex]

Answer:

The answer is option D.

Step-by-step explanation:

f(x) = x² + 2x

g(x) = 2x

To find (ƒ ∘ g)(2) first find (ƒ ∘ g)

To find (ƒ ∘ g) wherever you see x in f(x) replace it with g(x)

That's

(ƒ ∘ g) = (2x)² + 2(2x)

= 4x² + 4x

Substitute 2 into the expression

That's

(ƒ ∘ g)(2) = 4(2)² + 4(2)

= 4(4) + 8

= 16 + 8

= 24

Hope this helps you.

Answer: 9 Apples

Step-by-step explanation:

Given the following :

Total number of bags = 12

Mean of the distribution(m) = 8

Number of apples (x):

6 - - - - 7 - - - - 8 - - - - 9 - - - - 10

Frequency (f) :

1 - - - - 4 - - - - 2 - - - - 3 - - - - 1

Therefore :

Let number of apples in the 12th bag = y

Frequency of 12th bag : (12 - 11) = 1

Mean of distribution(m) :

Sum of ( f * x) / sum of f

Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)

Sum of (f * x) = (6+28+16+27+10+y) = 87 + y

Sum of f = 12

From :

m = Sum of ( f * x) / sum of f

8 = (87 + y) / 12

87 + y = 12 * 8

87 + y = 96

y = 96 - 87

y = 9

Number of apples in 12th bag is 9 apples

Answer:

Step-by-step explanation:truest

Answer:

Its False

Step-by-step explanation:

to be an identity the equation has to be true for all values in the domain, sqrt3/2 is a specific value

Answer:

stratified random sampling

Step-by-step explanation:

Answer:

2 months

Step-by-step explanation:

$80 x 0.5 = $40

$80 + $40 = $120

$120 * 0.25 = $30

1st month - $120-$30 = $90

2nd month - $90-$22.5 = $67.5

Answer:

AFTER 2 MONTHS

Step-by-step explanation:

Answer:

Area of apothem is 8.33 inches

Step-by-step explanation:

Mathematically,

Area of hexagon = 1/2 * apothem * number of sides * length of side

Area = 50 in square

apothem = ?

number of sides = 6

Length of side = 2 inches

Substituting the values, we have;

50 = 1/2 * A * 6 * 2

50 = 6A

A = 50/6

A = 8.33 inches

Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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Answer: Only C

Step-by-step explanation:

Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out.  Thus, it can be any value.

Answer:

linear: y = x + 1

non-linear: y = x² + 1

Step-by-step explanation:

In a linear relationship, from one pair (x1,y1) to other one (x2,y2) that satisfies the equation, there is a constant k, so that k = (y2 - y1)/(x2 - x1).

Equation: y = x + 1

Computing some points as an example:

x | y

0 | 1

1  | 2

2 | 3

3 | 4

(2-1)/(1-0) = (3-2)/(2-1) = (4-3)/(3-2) = 1. Therefore, the equation is linear.

Equation: y = x² + 1

Computing some points as an example:

x | y

0 | 1

1  | 2

2 | 5

3 | 10

(2-1)/(1-0) ≠ (5-2)/(2-1) ≠ (10-5)/(3-2). Therefore, the equation is not linear.