matteo is following this
recipe to make a cake he
wants to make 5 of
these cakes how much of each ingredient does he need? Recipe: makes 1 cake
6 ounces butter
5 ounces sugar
7 ounces flour
3 eggs
2 teaspoon(tsp) baking powder

The bearing to take is 134 degrees and the shortest distance is 14.3 km

The attached diagram represents a labelled version of the ship movement

The angle at Q is

Q = 180 - 155 + 90 + 120 - 90

This gives

Q = 145

The distance PR is calculated as:

PR^2 =PQ^2 + QR^2 - 2 * PQ * QR * cos(Q)

This gives

PR^2 = 9^2 + 6^2 - 2 * 9 * 6 * cos(145)

Evaluate

PR^2 = 205.46

Take the square root

PR = 14.3 km

The angle at P is then calculated as:

QR/sin(P) = PR/sin(Q)

This gives

6/sin(P) = 14.3/sin(145)

Evaluate the quotient

6/sin(P) = 24.93

Make sin(P) the subject

sin(P) = 6/24.93

Divide

sin(P) = 0.2407

Take the arc sin of both sides

P = 14

The bearing is then calculated as:

Bearing = P + 120

This gives

Bearing = 14 + 120

Evaluate

Bearing = 134

Hence, the bearing to take is 134 degrees

In (a), we have

PR = 14.3 km

This represents the shortest distance

Hence, the shortest distance is 14.3 km

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The histogram is attached.

Given that, we need to draw a histogram,

Data :-

1-3        3, 2, 3     Frequency = 3

4-6       4, 6, 5     Frequency = 3

7-9       7, 8, 8, 7  Frequency = 4

10-12    10, 10       Frequency = 2

Hence, you can draw the histogram according to the table.

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Answer:

complementary angle: 63

supplementary angle: 153

Step-by-step explanation:

Complementary angles mean angles that add up to 90.  Therefore 90-27=63

Supplementary angles are angles that add up to 180. Therefore 180-27=153

Answer:

(C)\(-6x+8(-x+6) = 6\)

Step-by-step explanation:

Given the system of equations

\(x+y=6 \\-6x+8y = 6\)

From the first equation:

x+y=6

Making y the subject, we have:

y=-x+6

Substituting y=-x+6 into the second equation, we obtain:

\(-6x+8(-x+6) = 6\)

The correct option is C.

NOTE: The goal of substitution is to reduce the number of unknown variables to 1. Therefore, after the substitution, if you still have the two unknown, you might have done something incorrect.

Answer:Fank yew mate tea my yellow teeth

Step-by-step explanation:tea tea tea tea tea tea tea tea tea teateatea tea

The number of pies made by cooking club to raise the money for field trip is equal to 14 .

Number of pies given by cafeteria = 2

Number of pieces each pie cut into = 4

Total pieces donated by cafeteria = 8

Total number of pieces sold by cooking club = 64

Number of pieces made by cooking club = 64 - 8

                                                                     = 56

Total number of pies made by cooking club to raise the money

= 56 / 4

= 14

Therefore, the total number of pies made by cooking club to raise the money is equal to 14.

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There are 28 ways to choose the players for the workshop,

A combination in mathematics is the act of choosing elements from a set that includes distinctive members so that the order of selection is not significant or unimportant.

It can be expressed by using the formula:

\(\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}\)

From the given parameters:

∴

\(\mathbf{^8C_6 = \dfrac{8!}{6!(8-6)!}}\)

\(\mathbf{\implies \dfrac{8 \times 7 \times 6!}{6!(2)!}}\)

\(\mathbf{\implies \dfrac{8 \times 7}{2!}}\)

\(\mathbf{\implies \dfrac{8 \times 7}{2\times 1}}\)

= 28 ways

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Answer:

The answer above is correct! The answer is 28 :)

Step-by-step explanation:

The APC (average propensity to consume) measures the proportion of total income that is spent on consumption, while the MPC (marginal propensity to consume) measures the change in consumption resulting from a change in income.

The APC and the MPC are related, as the MPC is the slope of the consumption function at a particular income level, while the APC is the ratio of consumption to income.

The sum of the MPC and the MPS (marginal propensity to save) must equal 1, as any additional income must either be consumed or saved. Therefore, if someone's MPC is 0.8 (they spend 80% of their income), their MPS must be 0.2 (they save 20% of their income).

The determinants of consumption and saving schedules include income, interest rates, expectations about future income and prices, and wealth. Additionally, personal preferences and values can also influence an individual's consumption and saving behavior.

At the personal level, consumption is determined by income, as well as personal preferences and values. Other factors that can influence an individual's consumption behavior include interest rates and expectations about future income and prices.

Personal saving behavior is influenced by income, as well as personal preferences and beliefs about the importance of saving for the future.

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Answer: d. 3/8

Step-by-step explanation:

The answer is correct

Answer:

The Answer Is D!

Step-by-step explanation:

Answer:

1. rhombus and square

2. rhombus, rectangle, square

3. rectangle and square

4. rectangle, squares, rhombus

5. same as 3

6. rhombus, rectangle, square

7. rhomus, rectangle, square

8. rectangle, square

Step-by-step explanation:

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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Given:

The expression is

\(\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}\)

To find:

The simplified form of given expression.

Solution:

We have,

\(\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}\)

It can be written as

\(\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}\)                    \(\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right]\)

Therefore, the simplified form of given expression is \(\sqrt[3]{\dfrac{9}{4}}\).

Note: We can further simplify this expression but be need use exponential properties.  

Step-by-step explanation:

this is a multiplication dot, right ?

so,

(f.g)(x)

or

(f×g)(x)

any arithmetic operation (like +, -, ×, ÷) between 2 functions is done by applying that operation to the functional expressions.

(f×g)(x) = (x² - 12x + 35)(x - 5) =

= x³ - 5x² - 12x² + 60x + 35x -175 =

= x³ - 17x² + 95x - 175

Step-by-step explanation:

(f.g)(x) = f(x) . g(x)

= (x² - 12x + 35)(x - 5)

=x(x²-12x+35) - 5(x²-12x+35)

= x³-12x²+35x-5x²+60x-175

(f.g)(x)=x³-17x²+95x-175

Answer:

im not shure which one it is

Step-by-step explanation:

Answer:

  \(A=300ml\)

Step-by-step explanation:

From the question we are told that

5% solution of dextrose sugar in water

20% solution of dextrose in

100 milliliters of distilled water water

Generally in mathematically solving we call A the amount of D20W added

Since 20% of dextrose is needed

       \(20 \%*100=20milliter\)

Total quantity after addition (100+x)

for DW5% total solution is

          \(5\% (100+A)= \frac{5}{100}(100+A)\)

          \(5\% (100+A) =5+0.05A\)

Mathematically

           \(5+0.05A =20\)

           \(5+0.05A =20-5\)

           \(A=\frac{15}{0.05}\)

           \(A=300ml\)

Therefore the required quantity \(A=300ml\)

The statement is true. Many companies provide fitness centers or subsidize the cost of off-site fitness center memberships as a way to alleviate stress among employees.

Companies often recognize the importance of promoting employee well-being and reducing stress in the workplace. One way they address this is by offering fitness centers within the company premises or providing financial support for employees to access fitness facilities off-site. By doing so, companies aim to create an environment that encourages physical activity, which can have numerous benefits for employee health and stress management.

Fitness centers and subsidized memberships can provide employees with convenient opportunities to engage in regular exercise and physical activity. Exercise has been shown to reduce stress levels, increase endorphin production, and improve overall well-being. By removing the stressor of finding affordable fitness options or allocating time to exercise outside of work, companies demonstrate their commitment to supporting employee health and stress reduction.

The statement is true. Many companies implement fitness centers or subsidize off-site fitness center memberships as a means to alleviate stress among employees and promote a healthy work environment.

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The magnitude of the charge on each sphere is approximately 4.47 x 10^-7 C. Each sphere has an excess of approximately 2.79 x 10^9 electrons.

To determine the magnitude of the charge on each sphere, we can use Coulomb's law. Coulomb's law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

First, let's convert the mass of each sphere to kilograms. Each sphere has a mass of 5.80 g, which is equal to 0.0058 kg. We know that the acceleration of the spheres is 190.0 m/s^2.

Using Newton's second law, F = ma, where F is the force between the spheres, m is the mass of each sphere, and a is the acceleration, we can calculate the force between the spheres. The force between the spheres is given by F = ma = (0.0058 kg) * (190.0 m/s^2) = 1.102 N.

Now, let's apply Coulomb's law. The force between the spheres is equal to the electrostatic force, given by F = k * (q1 * q2) / r^2, where k is the electrostatic constant, q1 and q2 are the charges on the spheres, and r is the distance between the spheres.

The electrostatic constant, k, is approximately equal to 8.99 x 10^9 N m^2/C^2. The distance between the spheres, r, is given as 5.5 cm, which is equal to 0.055 m.

Rearranging the equation, we can solve for the charges on the spheres, q1 and q2. Plugging in the known values, we have 1.102 N = (8.99 x 10^9 N m^2/C^2) * (q1^2) / (0.055 m)^2.

Solving for q1, we find q1 = sqrt((1.102 N * (0.055 m)^2) / (8.99 x 10^9 N m^2/C^2)). Evaluating this expression, we get q1 ≈ 4.47 x 10^-7 C.

To determine the number of excess electrons, we can use the elementary charge, which is approximately 1.602 x 10^-19 C. The number of excess electrons can be calculated by dividing the charge on each sphere by the elementary charge.

Dividing 4.47 x 10^-7 C by 1.602 x 10^-19 C, we find that each sphere has approximately 2.79 x 10^9 excess electrons.

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Answer:

B and D

Step-by-step explanation:

From inspection of the graph, we can see that as \(x\) increases, \(f(x)\) tends to 0 (gets increasingly closer to zero, but doesn't actually get there).

Therefore:

B)  \(\textsf{as }x\rightarrow +\infty, f(x) \rightarrow 0\)

From inspection of the graph, we can see that as \(x\) decreases, \(f(x)\) is increasing.

Therefore:

D) \(\textsf{as }x\rightarrow -\infty, f(x) \rightarrow +\infty\)

Answer:

that's a bit too far away haha

Answer:

oof that sucks i live in cali

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

r = 2.5 in

V = 4(3.14)\((2.5 in)^{3}\)/3 = \(65 in^{3}\)

The cost equation is used to estimate total costs associated with a given level of activity or output, where f is the fixed cost and v is the variable cost per unit of activity. The variable cost component (vx) changes in proportion to the level of activity or output (x), whereas the fixed cost component (f) remains constant regardless of the level of activity.

In the cost equation tc = f + vx, x is best described as the level of activity or the quantity of the input variable. The cost equation is a mathematical representation of the relationship between the total cost of production and the level of activity or the quantity of the input variable. The variable x represents the number of units produced or the amount of resources used in the production process, which can be measured in terms of labor hours, machine hours, or any other relevant unit of measure. The variable v represents the variable cost per unit of activity, and f represents the fixed cost of production.

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Answer:

C

Step-by-step explanation:

The zeros are the values of x on the x- axis where the graph crosses.

the graph crosses the x- axis at 0 and 5

then the zeros are x = 0 and x = 5 → C

Answer:

1/12

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

Answer and Step-by-step explanation:

A is the answer because

you need to look at how many of each number and see how many of that number is given. Then, see which graph has the same amount of that number.

We can see that the first answer choice (A) has all the same number of the numbers from the list of numbers given to us.

#teamtrees #PAW (Plant And Water)

By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

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a^4+b^4=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

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If the person filling the tank realizes something is wrong with the hose. The time  it take to completely fill the tank by using the second hose is: 5.56 minutes.

Using this formula find  long does it take to completely fill the tank by using the second hose

Let Assume  the tank has a capacity of 100 gallons.

Time =Amount of water ÷ rate

Let plug in the formula

Time = 100 gallons ÷ 18 gallons/minute

Time = 5.56 minutes (Approximately)

Therefore  it would take 5.56 minutes to fill a 100-gallon tank.

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If the person filling the tank realizes something is wrong with the hose. The time  it take to completely fill the tank by using the second hose is: 5.56 minutes.

Using this formula find  long does it take to completely fill the tank by using the second hose

Let Assume  the tank has a capacity of 100 gallons.

Time =Amount of water ÷ rate

Let plug in the formula

Time = 100 gallons ÷ 18 gallons/minute

Time = 5.56 minutes (Approximately)

Therefore  it would take 5.56 minutes to fill a 100-gallon tank.

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Answer: B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.

Step-by-step explanation:

Let "up" be positive and "down" be negative.

Both elevators start at position x = 0

The change in x (Δx) of Elevator 1 is +18 feet, which means it is 18 feet above the origin (which is ground level)

The change in x (Δx) of Elevator 2 is -20 feet, which means it is 20 feet below the origin (which is ground level)

Therefore, Elevator 1 is 18 feet above ground level, while Elevator 2 is 20 feet below

Answer:

Awnser B :) Hope i helped

Step-by-step explanation: