The cost of 3 cheese sandwiches and 2 bottles of water is £7.80. The cost of 5 cheese sandwiches and 4 bottles of water is £14.20. What is the cost of: (a) one cheese sandwich? (b) one bottle of water?

Answer:

  (c)  The two quantities are equal.

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement. In a right triangle, the acute angles are complementary, which means ...

  sin(A) = cos(B)

The two quantities are equal.

Answer:

Step-by-step explanation:

Sin(A) = opposite / hypotenuse

opposite = 4

hypotenuse = 5

Sin(A) = 4/5 = 0.8

Cos(B) = adjacent / hypotenuse.

adjacent = 4

hypotenuse = 5

Cos(B) = 4/5 = 0.8

Believe it or not, this will always happen if you take Sin(A) and find that Cos(90 - A) are equal

Take a simpler case. Suppose you are working with a 30 60 90 triangle.

Cos(60) = Sin(90 - 60) = 1/2

Answer:

P(Kritika)= 27/41

P(Gavin)=1-(27/41)

= (41-27)/41

=14/41

A Proportional relationship between the two variables .The equation relating the total cups of sugar used (S) to the number of cookies made (N) is N = 35S. This equation states that the number of cookies made (N) is equal to 35 times the total cups of sugar used (S).

An equation relating the total cups of sugar used (S) to the number of cookies made (N), we can establish a proportional relationship between the two variables based on the given information.

The cookie company uses one cup of sugar for every 35 cookies it makes. This means that the ratio of cups of sugar to cookies is constant. To express this relationship, we can set up a proportion:

1 cup of sugar / 35 cookies = S cups of sugar / N cookies

We can cross-multiply to obtain the equation:

1 * N = 35 * S

Simplifying further:

N = 35S

Therefore, the equation relating the total cups of sugar used (S) to the number of cookies made (N) is N = 35S. This equation states that the number of cookies made (N) is equal to 35 times the total cups of sugar used (S).

This equation allows us to determine the relationship between the cups of sugar and the number of cookies made. For example, if we know the value of N (the number of cookies made), we can solve for S (the total cups of sugar used) by dividing N by 35. Alternatively, if we know the value of S, we can find N by multiplying S by 35.

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she started jumping rope at 7:45

Find the perimeters of all the figures. = ADD all four sides of shape.

(Length + Width + Height + Base)

If you are dealt five cards from an ordinary deck of 52 playing cards, the number of ways can you get a full house is 3,744.

A full house is a hand that contains three of a kind and a pair. For example, three aces and two kings are a full house. To calculate the number of ways to get a full house, use the following formula:

1. First, choose the rank for the three of a kind. There are 13 choices because there are 13 different ranks in a standard deck of cards.

2. Second, choose which three of the four suits for the three of a kind. There are four options for each card, but we must divide by 3! (the number of ways to order three cards) to correct for overcounting. Therefore, there are 4C3 * (3!) ways to pick three cards from four (equal to 4 ways to choose the three of a kind).

3. Third, choose the rank for the pair. This leaves 12 ranks to choose from since two of the 13 have already been used for the three of a kind.

4. Fourth, choose two suits for the pair. The suits for the pair must be different from those used for the three of a kind. There are four options for the first card, three for the second card, but we must divide by 2! to correct for overcounting. There are a total of 4C2 * 2! ways to pick two cards from four (equal to 6 ways to choose the pair).

We multiply these numbers to get the total number of ways to get a full house:

13 × 4C3 × 3! × 12 × 4C2 × 2! = 13 × 4 × 6 × 12 × 6 = 3, 744

Therefore, there are 3,744 ways to get a full house from a standard deck of 52 playing cards.

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It looks like the integral is

\(\displaystyle 6 \int yz\cos(x) \, ds\)

With \(x=t\), \(y=\cos(t)\), and \(z=\sin(t)\), the line element is

\(ds = \sqrt{\left(\dfrac{dx}{dt}\right)^2 + \left(\dfrac{dy}{dt}\right)^2 + \left(\dfrac{dz}{dt}\right)^2} \, dt = \sqrt2 \, dt\)

and so

\(\displaystyle 6 \int yz\cos(x) \, ds = 6\sqrt2 \int_0^\pi \cos^2(t) \sin(t) \, dt\)

Substitute \(u = \cos(t)\) and \(du=-\sin(t)\,dt\), then

\(\displaystyle 6 \int yz\cos(x) \, ds = -6\sqrt2 \int_1^{-1} u^2 \, du = 12\sqrt2 \int_0^1 u^2 \, du = \boxed{4\sqrt2}\)

where in the second-to-last equality, we have

\(\displaystyle -\int_1^{-1} = \int_{-1}^1\)

and

\(\displaystyle \int_{-1}^1 u^2 \, du = 2 \int_0^1 u^2\,du\)

by symmetry.

Answer:

Please add the full question

Step-by-step explanation:

I think that question is incomplete or lacks all of the question information.

Answer:

Infinite Slopes

Step-by-step explanation:

There are infinite slopes

The only point given is (0,4)

Without a second point or slope, the equation nor slope can be solved

Therefore, ANY slope will be valid

The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84

According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).

We need to find the trigonometric values, that is

 sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.

 sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.

Also note that,  sinƟ = perpendicular/hypotenuse

Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis

Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.

Thus, sinƟ = 0.84/1 = 0.84

Hence, sin(Π-Ɵ) = 0.84

  And sin(Π+Ɵ) = -0.84

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Answer:

A. 28.1 cm^2

Step-by-step explanation:

a = bh

a = (7.6)(3.7)

a = 28.12 cm^2

a = 28.1 cm^2

Answer: i eat fooood bro

Step-by-step explanation:

Answer:How much interest will I earn in a CD? It depends on the interest rate the bank offers and how long the CD's term is. Here's an example: $5,000 invested in a 3-year CD with a 0.80% APY would earn about $120 by the end of the term.

Step-by-step explanation:

Answer: 30 and 80

So the care gets *30* miles gallon.

After the car has traveled *80* miles, 2 2/3 gallons.

Answer:

30 and 80 is the answers

Step-by-step explanation:

Answer:

6x-18 is the simplest that it can go. brainliest plsss

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Answer:

BC

Step-by-step explanation:

its easy d will keep going as shown the arrow so when its pass c it will be in between makinn it BC (i cant explain well but thats the answer)

The initial quantity of 226Ra isotope is approximately 6.4 grams.


The formula for calculating the amount of a radioactive isotope after a certain time period is:

Amount = Initial amount x (1/2)^(time/half-life)

We are given the half-life of 226Ra isotope as 1599 years and the amount after 2000 years as 1.6 grams. We can use this information to find the initial quantity as follows:

1.6 = Initial amount x (1/2)^(2000/1599)
1.6 = Initial amount x 0.431
Initial amount = 1.6/0.431
Initial amount = 3.71 grams

Therefore, the initial quantity of 226Ra isotope is approximately 6.4 grams (rounded to 2 decimal places).

The initial quantity of 226Ra isotope is 6.4 grams and after 2000 years, it reduces to 1.6 grams due to its half-life of 1599 years.

To complete the table for the radioactive isotope 226Ra, we need to determine the initial quantity. Using the given half-life of 1599 years and the amount of 1.6 g remaining after 2000 years, we can find the initial quantity.


1. Calculate the number of half-lives elapsed during the 2000-year period:
Number of half-lives = Time elapsed / Half-life
Number of half-lives = 2000 years / 1599 years ≈ 1.25

2. Use the formula for radioactive decay to find the initial quantity:
Initial quantity = Amount remaining / (1/2)^Number of half-lives
Initial quantity = 1.6 g / (1/2)^1.25

3. Calculate the initial quantity:
Initial quantity ≈ 1.6 g / 0.4467 ≈ 3.58 g (rounded to 2 decimal places)


The initial quantity of the radioactive isotope 226Ra was approximately 3.58 grams.

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Answer:

10.82

Step-by-step explanation:

6^2+9^2=x

36+81=117

Square root of 117 is 10.82

The value of the given side x  in the given circle is 10.82.

We have given that,

If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.

\(side^2+side^2=hypotenous^2\)

6^2+9^2=x^2

36+81=117

117=x^2

taking square root on both sides.

The Square root of 117 is 10.82.

Therefore the square root of the 117 is 10.82.

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Answer:

the first step is to change the mixed fraction into an improper fraction so 4 and 1/5 will be 21/5 so then you question will be three times 21/5 and the answer is 12 and 3/5

The coordinates of the point P that divides the line segment whose endpoints are A(-4, -1) and B(2, 4) in the ratio 3:2 are P(-2/5, 2).

To find the coordinates of the point P that divides the line segment joining two points A(x1, y1) and B(x2, y2) in the ratio m:n, you can use the section formula:

P(x, y) = ((m * x2 + n * x1) / (m + n), (m * y2 + n * y1) / (m + n)).

In this particular case, A(-4, -1) and B(2, 4) are the endpoints of the line segment and the ratio r = 3/2, which means m = 3 and n = 2.

Plug the values into the formula:

x = ((3 * 2 + 2 * (-4)) / (3 + 2)) = ((6 - 8) / 5) = (-2 / 5),

y = ((3 * 4 + 2 * (-1)) / (3 + 2)) = ((12 - 2) / 5) = (10 / 5) = 2.

Therefore, the coordinates of the point P that divides the line segment whose endpoints are A(-4, -1) and B(2, 4) in the ratio 3:2 are P(-2/5, 2).

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The Question in English

Find the coordinates of the point P that divides the line segment whose endpoints are

A(-4,-1) and B(2,4) in a ratio of r = 3 /2

the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.

Hope thishelps!

Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

Answer:

4.1 and 4.2

Step-by-step explanation:

or 4 and 5

Answer:

3/2

Step-by-step explanation:

5x-7=-11x-25

5x+11x=-25+7

16x=18

x=18/16

x=3/2

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.

For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.

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1 cup will fills double than 1/2 cup, so:

With 1 cup you will be able to fills 4/3, in other words 1 full container and 1/3 of another.

Answer:

answer C

Step-by-step explanation:

I had the same test question

Answer:Hi here!!

Step-by-step explanation: first identify the cation and write down its symbol and charge. Then, identify the anion and write down its symbol and charge. Finally, combine the two ions to form an electrically neutral compound.

Answer:

y=28/3x+6

Step-by-step explanation:

If you use the slope formula,     y2-y1

                                                      _____\

                                                       x2-x1

You would get that the slope is 23/3 and you can see the y-intercept is 6 so you would get y=28/3x+6.                                                        

Answer:

13.7

Step-by-step explanation:

3x=41

x is around 13.7

Answer:

x = \(\frac{41}{3}\)

x ≈ 13.7

Step-by-step explanation:

\(3x+15=56\\3x+15-15=56-15\leftarrow \text {Subtraction Property of Equality} \\3x=41\\\\\frac{3x}{3} =\frac{41}{3} \leftarrow \text {Division Property of Equality}\\\\\boxed {x=\frac{41}{3}}\)

41/3 = 13.66666666....

13.666... ≈ 13.7