What was yesterday? Or tim

SOLUTION

From the question, given the functions, we can see that the function is constant at where we have less/equal to sign.

Hence the function is constant at c(x) =

Based on the information given the original size of the bottle is 17.5 ounces.

Using this formula

Original size of the bottle =New bottle size / Percentage increase

Where:

New bottle size=18.4 ounces

Percentage increase=(1+0.05)=1.05

Let plug in the formula

Original size of the bottle=18.4/(1+0.05)

Original size of the bottle=18.4/1.05

Original size of the bottle=17.5 ounces

Inconclusion the original size of the bottle is 17.5 ounces.

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Answer:

17.5

Step-by-step explanation:

i did the math and also im never wrong swear on got thats the annswer

Answer:

-0.9

Step-by-step explanation:

-1.7 - (-0.8)

= -1.7 + 0.8

= -0.9

Answer:

The answer is a 150% increase!

Step-by-step explanation:

A recursive definition for the set S can be given as follows:

What is recursion?

Recursion is a programming technique where a function calls itself to solve a problem.

Base case: (1, n) is in S for all positive integers n, since 1 is a factor of all positive integers.

Recursive case: If (a, b) is in S, then (a', b) is in S for all positive integers a' that are factors of a, and (a, b') is in S for all positive integers b' that are multiples of b.

In other words, the set S contains all pairs (a,b) where a is a positive integer that divides b, and b can be obtained by multiplying any such a with another positive integer. The base case includes all pairs where a=1 and b is any positive integer.

The recursive case states that if (a,b) is in S, then all pairs where a' is a factor of a and b is a positive integer such that b=a'b are also in S, as well as all pairs where b' is a multiple of b and a is a positive integer that divides b'.

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

Answer:

what are the options

Step-by-step explanation:

Answer:

A sports coach bought 2 bats and 3 packs of tennis balls with 4 balls each. If one bat and one ball are of the same price, and he payed $990.50, write the equation for this

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

3

Step-by-step explanation:

-2 + 40x + 62 = 180 They are same side interior angles and add to 180

solve for x

40x + 60 = 180

40x = 120

x=3

Answer: aA 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years = (0.163,0.189)

Step-by-step explanation:

Let p = population proportion of adults in the U.S. who have donated blood in the past two years.

Given: A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

Sample size: n= 2322

Sample proportion \(q=\dfrac{408}{2322}=0.176\)

Critical z-value for 90% confidence level : z*=1.645

The confidence interval for population proportion:

\(q\pm z^*(\sqrt{\dfrac{q(1-q)}{n}})\)

A 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years:

\(0.176\pm (1.645)(\sqrt{\dfrac{0.176(1-0.176)}{2322}})\\\\=0.176\pm (1.645)(0.0079)\\\\=(0.176\pm0.013)\\\\=(0.176-0.013,0.176+0.013))\\\\=(0.163,0.189)\)

Hence,

Answer:

-2x =34

Step-by-step explanation:

-2x = 34

or , -x = 34 ÷2

or , -x = 17

x = -17

Answer:

x = -17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

-2x = 34

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 34 does indeed equal 34.

∴ x = -17 is the solution of the equation.

Answer: 15

Step-by-step explanation:

we can  say 5x+55 and 2x+100 are corresponding angles and they are equal. so, 5x+55=2x+100

3x=45

x=15

Answer:

A. 21

Step-by-step explanation:

Recall: inscribed angle in a semicircle equals 90°

m<K is an inscribed angle in a semicircle = (4x + 6)°

Therefore,

4x + 6 = 90°

Solve for x. Subtract both sides by 6

4x + 6 - 6 = 90 - 6

4x = 84

Divide both sides by 4

4x/4 = 84/4

x = 21

Answer:

The test statistic is \(t = 2.79\)

Step-by-step explanation:

From the question we are told that

    The population mean is \(\mu = 59.3\)

    The sample size is  \(n = 79\)

    The  sample mean is  \(\= x = 62.4\)

    The  standard deviation is  \(\sigma = 9.86\)

Generally the test statistics is mathematically represented as

            \(t = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }\)

substituting values

          \(t = \frac{ 62.2 - 59.3 }{ \frac{ 9.86}{ \sqrt{ 79} } }\)

          \(t = 2.79\)

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The correct value of Z for the solution to true system is -2

From the question, we have the following parameters that can be used in our computation:

2x + 3y - z = 4

x - 3y + 2z = -3

3x + y - z = 5

Transform the third equation

So we have

2x + 3y - z = 4

x - 3y + 2z = -3

9x + 3y - 3z = 15

Eliminate y in the equations by subtraction

So we have

x - 3z = 7

10x - z = 12

Multiply x - 3z = 7 by 10

10x - 30z = 70

10x - z = 12

Subtract the equations

-29z = 58

So, we have

z = -2

Hence, the correct value of Z  is -2

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The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:

11.5 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

The parameters of the equation are given as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the distance between Ray-Ann and Steve is obtained as follows:

c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º

c² = 132

c = square root of 132

c = 11.5 feet.

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The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.

Which statement is true?

a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.

(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

The next step is to combine like terms within each parentheses:

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

Finally, we can add the two expressions:

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

= 56x - 3x² - 8x + 2x³ + 3 + 7

= 56x - 3x² - 8x + 2x³ + 10

The final answer is 56x - 3x² - 8x + 2x³ + 10.

Answer:

15

Step-by-step explanation:

Answer:

The quadratic equation y = -4x2 + 80x - 150 models the store's daily profit, y, for selling footballs at x dollars. you can subtract 150 from both sides and use the quadratic formula to find x=4. It can make at most 120 units in one day. 3 1. Backward Bending Supply Curve.

Answer:

  (1.989×10^27 kg) × (10^6 mg/kg) = 1.989×10^33 mg

  (1.989×10^33 mg) × (10^-6 kg/mg) = 1.989×10^27 kg

Step-by-step explanation:

"kilo-" and "milli-" are SI prefixes for the mass unit "gram". Respectively, they mean 10^3 and 10^-3 of the unit whose name they're attached to.

So, 1 kg = 1000 g, and 1 mg = 0.001 g. Hence 1 kg = 10^6 mg.

__

Using this fact, we can express the mass of Jupiter as ...

  1.989×10^27 kg = (1.989×10^27)(10^6 mg) = 1.989×10^33 mg

__

We can multiply the above kg/mg relation by 10^-6 and get ...

  10^-6 kg = 1 mg

Then we can express the mass of Jupiter as ...

  1.989×10^33 mg = (1.989×10^33)(10^-6 kg) = 1.989×10^27 kg

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

sin(β/2) = 0.5, cos(β/2) = 0.8, tan(β/2) = 0.625, sin(∝/2) = 0.5, cos(∝/2) = 0.836, and tan(∝/2) = 0.294.

We can use the given information about the right triangle to find the values of sin(β/2), cos(β/2), tan(β/2), sin(∝/2), cos(∝/2), and tan(∝/2) as follows:

First, we can use the Pythagorean theorem to find the length of the third side (the perpendicular side) of the right triangle:

\(a^2 + b^2 = c^2\)

where c is the length of the hypotenuse, a is the length of the perpendicular side, and b is the length of the base.

Applying the values in the problem, we get:

\(a^2 + 12^2 = 15^2\)

\(a^2 + 144 = 225\)

\(a^2 = 81\)

a = 9

So the length of the perpendicular side is 9.

Now we can use the definitions of the trigonometric functions to find their values:

sin(β/2) = \(\sqrt{\)((1-cos(β))/2)

cos(β/2) = \(\sqrt{\)((1+cos(β))/2)

tan(β/2) = sin(b)/(1+cos(β))

where b is the angle opposite the base of the triangle.

To find cos(β), we can use the fact that cos(β) = a/c:

cos(β) = 9/15 = 0.6

Then we can plug this value into the above equations to get:

sin(β/2) = \(\sqrt{\)((1-0.6)/2) = 0.5

cos(β/2) = \(\sqrt{\)((1+0.6)/2) = 0.8

tan(β/2) = sin(β)/(1+0.6) = 0.625

Similarly, we can use the definitions of the trigonometric functions to find the values of sin(∝/2), cos(∝/2), and tan(∝/2):

sin(∝/2) = \(\sqrt{\)((1-cos(∝))/2)

cos(∝/2) = \(\sqrt{\)((1+cos(∝))/2)

tan(∝/2) = sin(a)/(1+cos(∝))

where a is one of the acute angles of the triangle.

To find cos(∝), we can use the fact that cos(∝) = b/c:

cos(∝) = 12/15 = 0.8

Then we can plug this value into the above equations to get:

sin(∝/2) = \(\sqrt{\)((1-0.8)/2) = 0.5

cos(∝/2) = \(\sqrt{\)((1+0.8)/2) = 0.836

tan(∝/2) = sin(∝)/(1+0.8) = 0.294

Therefore, sin(β/2) = 0.5, cos(β/2) = 0.8, tan(β/2) = 0.625, sin(∝/2) = 0.5, cos(∝/2) = 0.836, and tan(∝/2) = 0.294.

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The interest accumulated in the account after the first and second year indicates;

The amount Miguel originally put into the bank is about $728

An interest is a reward or cost of borrowing or lending money.

Let P represent the amount Miguel deposited in the bank, and let r represent the interest rate in percentage, therefore, we get;

The amount in the account after the first year is; P + r·p = P·(1 + r)

P·(1 + r) = $757.12...(1)

The amount in the account after the second year can be obtained using the following formula;

Principal at the start of the second year = P·(1 + r)

Therefore; Amount = P·(1 + r)  + P·(1 + r) × r = P·(1 + r) × (1 + r) = P·(1 + r)²

P·(1 + r)² = $787.40...(2)

Equation (1) indicates that we get; (1 + r) = 757.12/P

Therefore; P·(1 + r)² = P·(757.12/P)² = 787.40

757.12²/P = 787.40

P = 757.12²/787.40 ≈ 728

The amount Miguel deposited in the bank is about $728

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Answer:

Not a right triangle

Obtuse isosceles triangle.

Sides: J = 3.606   K = 6   L = 3.606

Step-by-step explanation:

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