What transformation is required to obtain the graph of the function f (x) = 7cosx from the graph of g(x) = cosx?

Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100.01

First, determine the total amount of lavender solution needed for the 18 ounces of perfume.

This is 18 ounces x 12% = 2.16 ounces.

Next, determine the amount of lavender solution in the 15% solution. This is 2.16 ounces / 0.15 = 14.4 ounces.

Subtract the amount of lavender solution in the 15% solution from the total amount needed. 2.16 - 14.4 = 0.76 oz

Determine how many ounces of the 6% solution are needed. This is 0.76 oz / 0.06 = 12.67 oz

Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

Hence, Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.

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Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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Answer:

7.5 or 7 1.2

Step-by-step explanation:

The measure of the angle that turns through 3/10 of the circle is 108 degrees.

An angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.

Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.

Since a full circle has 360 degrees, 3/10 of the circle can be represented as:

(3/10) x 360 degrees = 108 degrees

Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.

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The complete question is :

The angle turns through 3/10 of the circle. What is the measure of the angle?

Answer:

length of an arc = θ/360 × 2πr

θ=116°

r=2

π= 3.14

l= 116/360 ×2×3.14×2

l= 4.047= 4.05cm

The required required value of angles are  31, 118, 31.

An Isosceles triangle is a triangle that has two equal sides. Also, the two angles opposite the two equal sides are equal. In other words, we can say that “An isosceles triangle is a triangle which has two congruent sides“.

We have,

∠Q = 8x-17, ∠R = 19x+4, ∠S = 5x+1

So,

∠Q + ∠R + ∠S = 180

= 8x-17 + 19x+4 + 5x+1

= 32x - 12 = 180

= 32x = 192

x = 6

Angles are;

∠Q = 8x-17 = 8(6)-17 = 31

∠R = 19x+4 = 19(6)+4 = 118

∠S = 5x+1 = 5(6)+1 = 31

Thus, required value of angles are  31, 118, 31.

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Answer:

It might be past the time, but I think the second one.

Step-by-step explanation:

The constant of proportionality is equal to 3/10.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/10 = 6/20 = 9/30

Constant of proportionality, k = 3/10.

Therefore, the required linear equation is given by;

y = kx

y = 3/10(x)

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Given:

The objective is to explain Pythagorean Theorem with two examples by applying it to sports.

Explanation:

The Pythagorean Theorem states that. in a right triangle the sum of the squares of a two perpendicular legs will be equal to the square of the largest side of the triangle.

Consider a right triangle ∆ABC right angled at B.

By applying the Pythagorean Theorem to the above right triangle,

Example 1:

Consider a tennis player standing striking the ball to the service line of opponent field.

Let the height of the tennis player will be h = 3m.

The distance between the tennis player and the opponent service line is x = 18m.

Then, the distance at which the tennis player strikes the ground can be calculated as,

From the above diagram the distance d can be calculated using equation (1) as,

On plugging the values in equation (2),

Example 2:

Consider a basket ball player ready to take a free throw standing at a horizontal distance of 20 ft from the ring and holding the ball at with distance of 10ft below the ring.

Then, the hypotenuse distance of the ring can be calculated using equation (1) as,

Hence, the explanation for Pythagorean Theorem with two examples are provided.

$2010.458 is her new balance after she makes one new transaction for $51.

What does a credit balance mean?

The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.

                                   When you return something you purchased with your credit card, you can receive an additional credit.

Credit balance  = $1,603

   APR = 28.6%

        = 28.6%  * $1,603

         =   458.458

Credit balance  = $1,603 + 458.458

                        = $2061.458

  net balance =  $2061.458 - 51

                      = $2010.458

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Since the input value of domain -4 has two different output values (7 and 6), the relation is not a function.

By definition, a relation is a function if each input value has only one output value.

Given the relation:

(-4,6)

(-4,7)

(6,5)

(7,9)

The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):

domain ={-4 ,6,5}

The range is the set of the y-coordinates of each ordered pair :

range=  {6,7,5,9}

Since the input value 4 has two different output values (7 and 6), the relation is not a function.

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Answer:

  y +2 = -2/7(x -2)

Step-by-step explanation:

You want the point-slope equation of the line through (9, -4) and (2, -2).

The slope is given by ...

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -(-4))/(2 -9) = 2/-7 = -2/7

The point-slope equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Using the second point with the found slope, the equation is ...

  y +2 = -2/7(x -2)

Answer:

1.5

Step-by-step explanation:

Answer:

1.5 i think

Step-by-step explanation:

1/4:2/8 so it would be 1/4 and 1/8 or 1.5

Answer and Step-by-step explanation:

This graph is a One to One Function.

For a function to be one-to-one, each x value must have its own y-value, which is the case for this graph.

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If you draw a vertical line on the graph, and it intersects more than once, then the graph does not define as a function because that x value has more than one output (y).

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

c

Step-by-step explanation:

made 100% on edu

Answer:

C

Step-by-step explanation:

This student would receive 10 bag of popcorns.

Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.

In order to determine the quantity of popcorn, we would make use of the information provided about the unit price for one bag of popcorn by using the following mathematical expression;

Number of bag of popcorns = Cost of one bag of popcorn/Unit price

Substituting the given parameters into the mathematical expression above, we have the following;

Number of bag of popcorns = 5/0.50

Number of bag of popcorns = 10 bag of popcorns.

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They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Answer:

B. Quadrant II

Use this:

Quadrant 1 (+,+)

Quadrant 2 (-,+)

Quadrant 3 (-,-)

Quadrant 4 (+,-)

The claim is false, since an individual's earning potential is not always determined by the number of years of schooling they have.

Unique and methodical activity performed to improve the reservoir of knowledge is known as the research. . A research project might be a continuation of previous work in the topic.

A study looked at whether education was the most important element in predicting earning potential.

He stated that the better an individual's earning potential was, the more years of schooling they had, and that this was causality and correlation.

The claim is incorrect because the more years of education an individual has is not necessarily the case of him/her having a higher earning potential.

Hence, option B is correct.

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Answer:

6.8333333333 or 41/6

Step-by-step explanation:

The number of cups of mango juice and peach juice required is given by the equations M = 200 cups and P = 120 cups

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of cups of mango juice required be M

Let the number of cups of peach juice required be P

Now , the recipe for fruit punch calls for 5 cups of mango juice for every 3 cups of peach juice

So , when the recipe requires wot make 40 cups of fruit punch juice ,

The number of cups of mango juice required M = 40 x 5

The number of cups of mango juice required M = 200 cups of mango juice

And ,

The number of cups of peach juice required P = 40 x 3

The number of cups of peach juice required P = 120 cups of peach juice

Hence , the equations are M = 200 cups and P = 120 cups

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Answer:

7/145

Step-by-step explanation:

7/30x6/29=42/870 = 7/145

Answer:

107.16

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

there isnt an arrow saying it keeps going past 10

Answer:

third option represents a function.

Step-by-step explanation:

for the ordered pairs to represent a function.

each value of x must only map to one unique value of y

in the first option

(- 2, 0 ) and (- 2, 2 )

the same x- coordinate maps to 2 different values of y

thus not a function.

in the second option

every value of x = - 5 maps to 5 different values of y

thus not a function.

in the third option

each value of x maps to a unique value of y.

thus a function.

in the fourth option

(- 6, - 3 ) and (- 6, - 2 )

the same x value maps to 2 different values of y

thus not a function.

===================================

\( \large \sf \underline{Direction:}\)

Evaluate the given expression.

===================================

\( \large \sf \underline{Answer:}\)

===================================

\( \large \sf \underline{Explanation:}\)

In the expression 6², 6 is the base and 2 is the exponent. The exponent tells how many times the base should be multiplied by itself.

===================================

#LetEarthBreathe

\(\large \boldsymbol{} \sf 1. ~~ 6^2 = \pmb{36} \\\\\\ 2. ~~ 7^4 = 7^2 \cdot 7^2 = 49 \cdot 49 = (49 +1)(49-1) + 1=\pmb{2401} \\\\\\ 3. ~~12^2= \pmb{144} \\\\\\ 4 . ~~ 3\cdot 3\cdot 3 \cdot 3\cdot 3 = 3^5 = \pmb{243 }\\\\\\ 5 . ~~ 4^4 = 4^2 \cdot 4^2 = 16 \cdot 16 = \pmb{256}\)

Answer:

(36^t) / (6^(t^2)) is nonequivalent

(6^(t^2)) / (36^t) is equivalent

(6^(t^2)) * 36^t is nonequivalent

Step-by-step explanation:

We can use the exponential quotient law for this problem.

a^x / a^y = a^x - y

(6^(t^2)) / (6^2t) = (6^(t^2)) / (36^t)

Answer:

251,734.

Step-by-step explanation: