Anna is following this recipe to make biscuits.
Anna uses 660 mL of syrup.
How many grams of margarine will she need?

Recipe: Makes 24 biscuits
60 g sugar
110 mL syrup
220 g oats
120 g margarine
40 g chocolate​

The half-life of this sample is 535.1 days.

Half-life is defined as the time it will took a substance to reduce to half of its initial amount. The half-life of a substance is determined with respect to the rate of the reaction. It can be calculated using the formula below.

N(t) = N₀(1/2)^(t/T)

where N(t) = amount of substance remaining after time t

N₀ = initial amount of substance

t = time

T = half-life

If a sample of a certain substance decayed to 67.8% of its original amount after 300 days, then N(300) = 0.678N₀.

Plug in the given values to the equation.

N(t) = N₀(1/2)^(t/T)

0.678N₀ = N₀(1/2)^(300/T)

0.678 = (1/2)^(300/T)

T = 535.1 days

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Logistic growth is the module to calculate the growth rate of a population but you have no idea whether the population grows continuously or not.

Two types of growth modules:

logistic growth and exponential growth.

In logistic growth, a population's per capita growth rate decreases when population size approaches a maximum imposed by finite environmental resources.

Because it is based on boundless resources, exponential development is not a particularly sustainable condition of affairs (those are uncommon in the actual world).

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Yoko has 52 quarters and 32 nickels. This can be known by using the method below:

Let's represent the number of quarters Yoko has with "q" and the number of nickels with "n".

We know that Yoko has a total of 84 coins, so we can write an equation:

q + n = 84

We also know that the value of her quarters and nickels together is $14.60. We can represent the value of the quarters with 0.25q (since each quarter is worth $0.25) and the value of the nickels with 0.05n (since each nickel is worth $0.05).

0.25q + 0.05n = 14.60

Now we have two equations with two variables, which we can solve simultaneously.

First, we can simplify the second equation by multiplying both sides by 100 to get rid of the decimals:

25q + 5n = 1460

Next, we can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for n:

n = 84 - q

Now we can substitute this expression for n into the second equation:

25q + 5(84 - q) = 1460

Simplifying:

25q + 420 - 5q = 1460

20q = 1040

q = 52

So Yoko has 52 quarters. To find the number of nickels, we can use the equation we solved for earlier:

n = 84 - q

n = 84 - 52

n = 32

So Yoko has 52 quarters and 32 nickels.

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The item which is closest in size to one mole of gas at STP is C) A microwave

A mole is the quantity of matter contained in a body.

We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.

Now, we have 4 items.

Let us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is

L = ∛22.4 dm³

=  ∛(22.4 × 10³) cm³

= 28.2 cm

So, ithe item that is comparable to this length is the microwave.

So, the item is C. A microwave

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In a chi-square test, the  influence of the difference between fe and fo to the outcome is: "the larger the difference, the larger the value of chi-square and the lower the likelihood of rejecting the null hypothesis." (option b)

In a chi-square test, the test statistic (chi-square) measures the difference between the observed frequencies (fe) and the expected frequencies (fo) under the null hypothesis. The larger the difference between fe and fo, the larger the value of chi-square.

When the chi-square value is larger, it indicates a larger discrepancy between the observed and expected frequencies. This suggests that the data deviates more from what would be expected under the null hypothesis.

In a chi-square test, we compare the chi-square value to a critical value to determine whether to reject or fail to reject the null hypothesis. A larger chi-square value makes it less likely to reject the null hypothesis because it indicates a smaller likelihood of the observed data being due to chance.

Therefore, the correct answer is option b.

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Answer:

the factors are:  1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, 424380.

Step-by-step explanation:

Paco was able to sell a total of 1,582 gallons more in March than he was able to in February.

Paco was able to sell 4,510 gallons of gas in February and then a further 6,092 gallons in March.

The amount that he sold in March that was more than what he sold in February was:

= Amount sold in March - Amount sold in January

= 6,092 - 4,510

= 1,582 more gallons

In conclusion, Parco sold 1,582 gallons more in March than in February.

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Answer: 4

Step-by-step explanation:In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning side

Answer:

x=8,-2

Step-by-step explanation:

Add 10 to both sides.

{(x-3)}^{2}=15+10

2 Simplify 15+10+25

(x−3) ^2=25

3 Take the square root of both sides.

x-3=+or-√25

Answer:

Here, given

Step-by-step explanation:

\( \huge \mathfrak{\blue{Answer}} \\ \\ \: \rightarrow \: \: \tt \: Area \: = 200.96 \: inches {}^{2} \)

Step-by-step explanation:

Given :

Area of Circle = πr²

Answer:

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

Step-by-step explanation:

Distribute 2 to 1 and -x --->  (2-2x)+3x

Combine Like Terms ---> 2-x

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

Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦  The midline's length is the average of the lengths of the top and bottom parallel sides.

\(AL=\frac{OR+CE}{2}\)

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

\(x=\frac{9+5}{2}=7\)

2. AL = m - 4, CE = 15, OR = 17

\(m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16\)

3. OR = y + 5, AL = 15, CE = 18

\(15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12\)

Answer:

Step-by-step explanation:

In this problem, we want to write equivalent fractions that share a common denominator.

To find the common denominator, we need to find the lowest common multiple of the denominator for each fraction. So, we need to find the LCM (lowest common multiple) for 4, 2, and 9.

One method is to list multiples of each number until you find one that works. My advice is to start with the largest number, as the lists of smaller numbers can get pretty long.

Let's list the first five multiples of 9:

We see that 9 is not a multiple of 2 or 4.

We see that 18 is a multiple of 2 (2 times 9), but not 4.

As we move through the list, we can check the multiples until it works. In this case, 36 is our common multiple:

Now we want to rewrite each of our fractions using 36 as our denominator.

Next, we'll do 1/2:

Finally, we'll find the last fraction for 7/9:

So now we have all our equivalent fractions for 1/4, 1/2, and 7/9.

If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.

In the given question,

If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have to find how many ways can we choose the officers, if individual members may hold more than one office.

We have total 25 members.

Their have total 3 position president, secretary, and treasurer.

When the one position of president filled then their was left 24 member for the secretary position.

When the one position of secretary filled then their was left 23 member for the  treasurer position.

So the possible ways to fill the position is find by multiplying the 25,24 and 23. So

Possible ways=25*24*23

Possible ways=13,800

Hence, if you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.

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Answer:

Step-by-step explanation:

Answer:

coordinates of point g is ( -6, 14)

Step-by-step explanation:

The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).

___________________________________________

given point

F(-1, -1) to H(-8, 20)

ratio : 5:2

the coordinates of point g is

(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)

=> (-2 -40/7 , -2+100/7)

=> (-42/7, 98/7)

=>( -6, 14)

Thus ,  coordinates of point g is ( -6, 14)

Answer:

B

Step-by-step explanation:

The picture is kinda blurry for me, and I can't see the exact numbers, but with what I could see, I believe it's B

Answer:

Step-by-step explanation:

Check the picture attached.

Hope it helps ❤️

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Answer:

First there are 4 terms. I think/believe that there are 3 factors in the first term. And the answer to the last question is 16 or term 3.

Step-by-step explanation:

I hope this helps, plz mark me as brainlyest anyways I hope you get a good score on your test!!

Answer:

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

Step-by-step explanation:

The answer is letter b. $4.20 / 60 ounce is the rate for the glass bottle while $3.06 / 51 ounces is the rate for the plastic one. Simplified, the glass bottle is $0.07 / ounce while the plastic bottle is $0.06 / ounce.

Answer:

You get 6 dollars per car

Step-by-step explanation:

I divided 30 by 5

Answer: $6 per car

Step-by-step explanation:

If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5

\(\frac{30}{5} =6\\\frac{5}{5} =1\)

$6 per one car

The number that is divisible by both 2 and 4 is option c. 2,836.

To determine which number is divisible by both 2 and 4, we need to identify the number that is divisible by the prime factorization of both 2 and 4.

To be divisible by 2, a number must be even, meaning it should end with 0, 2, 4, 6, or 8. Looking at the given options, we can eliminate options a. 1,022 and d. 2,918 because they end with 2 and 8 respectively.

To be divisible by 4, a number must be divisible by 2 twice. In other words, the last two digits of the number should form a multiple of 4. Examining the remaining options b. 1,974 and c. 2,836, we find that only option c. 2,836 satisfies this condition. The last two digits of 2,836, 36, form a multiple of 4 (9 times 4 is 36).

Therefore, the number 2,836 is divisible by both 2 and 4, hence the correct answer is: c.2,836

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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The linear approximation, cos(227°) is approximately -0.6809 when rounded to four decimal places.

To use a linear approximation of f(x) = cos(x) at x = 5π/4 to approximate cos(227°), follow these steps:

1. Convert 227° to radians:

        (227 * π) / 180 ≈ 3.9641 radians.
2. Identify the given point:

         x = 5π/4 = 3.92699 radians.
3. Compute the derivative of f(x) = cos(x):

         f'(x) = -sin(x).
4. Evaluate the derivative at x = 5π/4:

         f'(5π/4) = -sin(5π/4) = -(-1/√2) = 1/√2 ≈ 0.7071.
5. Apply the linear approximation formula:

         f(x) ≈ f(5π/4) + f'(5π/4)(x - 5π/4).
6. Compute the approximation:

        cos(227°) ≈ cos(5π/4) + 0.7071(3.9641 - 3.92699)

                        ≈ (-1/√2) + 0.7071(0.0371)

                        ≈ -0.7071 + 0.0262

                        = -0.6809.

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