A punch recipe calls for 7 parts water to 2 parts powder. You make 108 fluid ounces of punch. How many fluid ounces of each ingredient do you need?

Answer:

550.5323531336038

Step-by-step explanation:

I have a hint: if you ever need help with triangle trigonometry questions go to carbside depot trigonometry calculator it is a literal life savor

Answer:

$25

Step-by-step explanation:

Let her monthly allowance be M.

=> M x 16% = 4

=> M = 4 x 25 / 4

=> M = 25

Maggie's monthly allowance is $25

Answer:

62 degrees

Step-by-step explanation:

Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.

Answer:

-139

Step-by-step explanation:

just substitute in a to 5 and b to -33

Answer:

There are 26,000 seats in Section A, 14,100 in section B & 11,900 in section C

Step-by-step explanation:

Section B = x

Section C = y

Section A = x + y

Step 1-

Total number of seats = 52000

x + y + (x + y) = 52000

x + y + x + y = 52000

2x + 2y = 52000

x + y = 26000

x = 26000 - y

Step 2-

Total amount collected = $1,370,500

20x + 15y + 35(x + y) = 1,370,500

20x + 15y + 35x + 35y = 1,370,500

55x + 50y = 1,370,500

11x + 10y = 274,100

Step 3-

x = 26000 - y  

11x + 10y = 274,100

Finding y

11 (26000 - y) + 10y = 274,100

286000 - 11y + 10y = 274,100

y = 11,900    

Finding x

x = 26000 - y

x = 26000 - 11900

x = 14,100

Section B = 14,100

Section C = 11,900

Section  A = 14,100 + 11,900 = 26,000

Answer:

-495

Step-by-step explanation:

-360-135= -495

The quadrilateral that has four congruent sides is option D. square. A square is a special type of rectangle and rhombus, characterized by having all four sides of equal length.

A parallelogram (option A) is a quadrilateral with opposite sides that are parallel. While the opposite sides of a parallelogram are congruent, it does not guarantee that all four sides are equal.

A rectangle (option B) is a quadrilateral with four right angles. While opposite sides of a rectangle are congruent, it does not necessarily have four congruent sides unless it is also a square.

A rhombus (option C) is a quadrilateral with all sides of equal length. While a rhombus does have four congruent sides, it is not the only quadrilateral with this property.

Therefore, among the given options, the quadrilateral that has four congruent sides is the square (option D).

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The surface area of a cube is changing at a rate of 200 cm²/sec when each edge is 5 centimeters, and it is changing at a rate of 600 cm²/sec when each edge is 15 centimeters.

(a) To find how fast the surface area is changing when each edge is 5 centimeters, we need to calculate the rate of change of the surface area with respect to time. The surface area of a cube is given by the formula S = 6a², where S is the surface area and a is the length of each edge.

Given that each edge is expanding at a rate of 8 centimeters per second, we can write da/dt = 8 cm/sec. We need to find dS/dt, the rate at which the surface area is changing.

Using the chain rule, we have dS/dt = dS/da * da/dt. Taking the derivative of the surface area formula, we get dS/da = 12a.

Substituting the values, we have dS/dt = 12a * da/dt = 12(5) * 8 = 480 cm²/sec.

Therefore, the surface area is changing at a rate of 480 cm²/sec when each edge is 5 centimeters.

(b) Similarly, when each edge is 15 centimeters, we have a = 15 cm. Using the same process as before, we find dS/dt = 12a * da/dt = 12(15) * 8 = 1440 cm²/sec.

Therefore, the surface area is changing at a rate of 1440 cm²/sec when each edge is 15 centimeters.

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No, it is not possible to find a power series with an interval of convergence [0, ∞).

The interval of convergence of a power series represents the range of values for which the series converges. The convergence of a power series is determined by its radius of convergence, which is a non-negative real number.

The radius of convergence (denoted by R) defines a symmetric interval centered at the center of the power series. If the radius of convergence is infinite (R = ∞), then the interval of convergence extends infinitely in both directions from the center.

However, since [0, ∞) includes positive infinity, it implies an unbounded interval. Power series can only converge within a finite range, so it is not possible for a power series to have an interval of convergence that includes positive infinity.

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Answer:

there is no ans that is the ans

Answer:

x³ + y³ + z³ = [ (x +y +z)(x² + y² + z² -xy - yz - xz) ] + 3xyz

Step-by-step explanation:

x³ + y³ + z³ = [ (x +y +z)(x² + y² + z² -xy - yz - xz) ] + 3xyz

The possible situation in first expression could be shopping , in second expression could be situation of a class going to a trip, in third expression could be situation of selling at a fair.

Given three expressions be 9.95+0.75*3, 15*6-5*6 and 59*5-25*5-30.

We are required to describe a situation that could be represented by each expressions that are given in the question.

a) The situation in first expression could be as under:

We go for shopping and buy a hairbrush for $9.95 and three packs of hair ties that cost $0.75 each. The total amount we could spend be 9.95+0.75*3.

b) The situation in second expression could be as under:

There are 6 classes which have 15 students each registered for a field trip. 5 students from each class are sick so they will not be going. Then the total number of students going on the field trip is 15*6-5*6.

c) We are selling 5 items for $59 each at a fair. It cost us $25 per item to make the items and we also had to pay a $30 booth fee to sell at the fair. The cost of the items is 25*5 and the profit is 59*5-25*5-30.

Hence the possible situation in first expression could be shopping , in second expression could be situation of a class going to a trip, in third expression could be situation of selling at a fair.

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Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.

Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:

Total earnings = Total sales x Commission rate

The total sales from selling 15 ads at $50 each are:

Total sales = 15 x $50 = $750

The commission rate is 6%, which can be written as 0.06 as a decimal.

Plugging these values into the formula, we get:

Total earnings = $750 x 0.06 = $45

Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

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Answer:

The mean is 25 and the median is 23

(a) The definite integral is  (3^50 - 1)/50 (b) The  value of the definite integral is -1,736,853.002.

a) The definite integral ∫(0 to 1) (1 + 2x)^49 dx can be evaluated using the power rule for integration.

By applying the power rule, we obtain the antiderivative of (1 + 2x)^49, which is (1/50)(1 + 2x)^50. Then, we can evaluate the definite integral by substituting the upper and lower limits into the antiderivative expression:

∫(0 to 1) (1 + 2x)^49 dx = [(1/50)(1 + 2x)^50] evaluated from 0 to 1

Plugging in the values, we get:

[(1/50)(1 + 2(1))^50] - [(1/50)(1 + 2(0))^50]

= [(1/50)(3)^50] - [(1/50)(1)^50]

= (3^50 - 1)/50

b) The definite integral ∫(-49 to 6.95) (27 + 2x)^2 dx can be evaluated by applying the power rule and integrating the expression. By simplifying the integral, we can find the antiderivative:

∫(-49 to 6.95) (27 + 2x)^2 dx = [(1/3)(27 + 2x)^3] evaluated from -49 to 6.95

Substituting the upper and lower limits:

[(1/3)(27 + 2(6.95))^3] - [(1/3)(27 + 2(-49))^3]

= [(1/3)(40.9)^3] - [(1/3)(-125)^3]

= 290,881.3733 - 2,027,734.375

= -1,736,853.002

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Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.

The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.

The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.

The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.

The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.

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Answer:

Radius, r = 4 units

Step-by-step explanation:

The equation of circle is given by :

\(x^2+y^2-10x+6y+18=0\)

We need to find the radius of the circle.

The general equation of a circle is given by :

\((x-h)^2+(y-k)^2=r^2\) ....(1)

We can rearrange the above equation in terms of the given equation as follows :

\(x^2+y^2-10x+6y+18-25-9+25+9=0\\\\(x^2-10x+25)+(y^2+6y+9)+18-25-9=0\\\\(x-5)^2+(y-(-3))^2=(4)^2\)

On comparing the above equation with equation (1)

h = 5, k = -3 and r = 4

So, the radius of the circle is 4 units.

The explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.

Given that x=2sin, y=2cos, and 0 are constants,

Simplify the parametric functions that are presented. Add their squares after taking them. The following trigonometric identity can be used:

sin2θ+cos2θ=1sin2⁡θ+cos2⁡θ=1

x=2sinθ,

y=2cosθ,0≤θ≤2πsinθ

=x2cosθ,

=y2x

Y=2sin⁡θ,

y=2cos⁡θ,0≤θ≤2πsin⁡θ=x2cos⁡θ=y2

Square them now and add them:

(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)

(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)

A parameter in a parametric equation can stand in for anything, including an angle. When a parameter is an angle—as opposed to a non-angle parameter—the plane curve can be graphed by choosing values for the angle and computing the x- and y-values.

Hence, the explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.

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The relationship between significant digits and calculations is; Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers

Precision refers to how closely individual measurements agree with each other. In any measurement, the number of significant figures is critical. The number of significant figures is the number of digits believed to be correct by the person doing the measuring. It includes one estimated digit.

Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers. It is important to estimate uncertainty in the final result, and this is where significant figures become very important.

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The process of a baby picking up a crumb or Cheerio involves several different types of assessment data, including visual, perceptual, fine motor, and proprioceptive skills.

Firstly, the baby uses their visual and perceptual skills to locate the crumb or Cheerio. They may scan the surrounding environment or look directly at the object. This can be assessed through observation of the baby's eye movements and head orientation.

Next, the baby uses their fine motor skills to reach for the crumb or Cheerio. They may use their fingers or their whole hand to grasp the object. This can be assessed through observation of the baby's hand movements and coordination.

Finally, the baby uses their proprioceptive skills to adjust their grip and bring the crumb or Cheerio to their mouth. This can be assessed through observation of the baby's mouth movements and coordination.

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Answer:

Option B

Step-by-step explanation:

By applying the converse theorem of corresponding angles,

"If corresponding angles formed between two parallel lines and the transversal line are equal then both the lines will be parallel"

Angle between line B and Y = 90°

Angle between line B and Z = 90°

Therefore, corresponding angles are equal.

By applying converse theorem, line Y and line Z will be parallel.

Option B will be the answer.

Answer:

$85

Step-by-step explanation:

445-20=425 425 ÷5= 85

Answer:

6 months.

Step-by-step explanation:

To find the answer, we first need to find out how much Omari paid for the down payment. To find this, you multiply 1083*0.20 and you get $216.60. So we subtract the down payment from the total leaving us with $866.40. Now to find out how many months it would take Omari to pay, we divide 866.40/144.40 since each month she pays $144.40 a month. Once you divide 866.40/144.40, you are left with an answer of 6 months.

Answer:

B.(-6,-1)

Step-by-step explanation:

Answer:

x = 14°

Step-by-step explanation:

All the interior angles of the triangle sum up to 180°

Therefore:

2x + 11° + 51° + 90° = 180°

2x + 152° = 180°

2x = 180° - 152°

2x = 28°                   [ divide both sides by 2 ]

x = 14°

Solution:

Note that:

Simplify the equation and solve for x.

Answer:

Step-by-step explanation:

1)  12

The mean of any number series is all of them added together and divided by the amount of numbers there are, when you add all the numbers together you get 96, and you divide it by 8 because that's how many numbers there are.

2)  5

Range is the distance between the smallest and largest number in the series, there is a difference of 5 between 10 and 15.

3) mean: 12  mode: 13, the mode is larger

The median is found by writing the numbers down in order and ticking off the number on each side back and forth until you come to the middle, if the number sequence has an even amount of values like it is here, you split the difference of the two middle numbers. The two middle numbers this time are 11 and 13 so you find the middle which is 12. The mode is the number that appears most frequently, which is 13, which means that the mode is greater than the mean.

4) Joanne's dance class' youngest student(s) are 13 years old, but the difference between the youngest and the oldest student will still be 5 so the oldest member(s) of the dance class are 18.

hope this helped

Answer:

11/5

Step-by-step explanation:

-4 - 7 = -11

-2 - 3 = -5

11/5

Answer:

B. 11/5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (3, 7)

Step 2: Find slope m

Answer:

multiply 2×3 to get 6and then multiply 6×4 to get 24

Answer:

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Explanation:

Original Answer : 2 × 3 × 4 = 24

1) 12 × 6 = 72

2) 6 × 12 = 72

3) 12 × 2 = 24

4) 6 × 4 = 24

5) 6 × 12 = 72

Hence, only option 3 and 4 is correct.