Which expressions are equivalent to z + (z + 6)z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?
choose all answers that apply:

(choice a)
a
(z+z) + (z+6)(z+z)+(z+6)left parenthesis, z, plus, z, right parenthesis, plus, left parenthesis, z, plus, 6, right parenthesis

(choice b)
b
(z+6) + 6(z+6)+6left parenthesis, z, plus, 6, right parenthesis, plus, 6

(choice c)
c
2(z+3)2(z+3)

Answer:

Money invested in Canada saving bond is $6000.

Money invested in provincial government bond is $9000.

Step-by-step explanation:

First of all, let us have a look at the formula for simple interest:

\(SI = \dfrac{P\times R\times T}{100}\)

Where P is the amount invested

R is the rate of interest and

T is the time

We are given here, 2 bonds in which a total of $15000 were invested

Let money invested in Canada saving bond  \(P_1\), = $x

Rate of interest, \(R_1=4\%\)

Time, \(T_1 = 1\ year\)

\(SI_1 = \dfrac{P_1\times R_1\times T_1}{100}\\\Rightarrow \dfrac{x\times 4\times 1}{100} ..... (1)\)

Let money invested in provincial government bond \(P_2\), = $(15000-x)

Rate of interest, \(R_2=5\%\)

Time, \(T_2 = 1\ year\)

\(SI_2 = \dfrac{P_2\times R_2\times T_2}{100}\\\Rightarrow \dfrac{(15000-x)\times 5\times 1}{100} ..... (2)\)

We are given that

\(SI_1+SI_2=$690\\\text{Using equations (1) and (2):}\\\\\Rightarrow \dfrac{4x}{100} + \dfrac{(15000-x)\times 5}{100} = 690\\\Rightarrow 4x + (75000-5x) = 69000\\\Rightarrow x = \$6000\)

Money invested in Canada saving bond = $6000

Money invested in provincial government bond = $15000-$6000 = $9000

The equation of a plane in vector form is r. (n * a) = d, where a is a point on the plane, n is the normal, r is the position vector, and d is the distance from the origin. The line passes through (0,-5,-4) and has a direction vector of d = (1,0,0).

Given:Point through which the line passes (0,−5,−4)Normal to the surface at (0,−5,−4)The equation of a plane in vector form is given byr. (n * a) = dwhere, a is a point on the plane, n is the normal to the plane, r is the position vector and d is the distance of the plane from the origin.For the given point and normal vector,n = (0,-1,0)and a = (0,-5,-4)respectively.

So, the plane equation can be written as

r.(0,-1,0) = - 5

So, the equation of the plane can be given by y = - 5 It is given that the line passes through the point (0,-5,-4) which is normal to the surface at (0,-5,-4).As the given normal vector is in y-direction, the line will be parallel to x-z plane and perpendicular to the y-axis.

So, the direction vector of the line can be given byd = (1,0,0)Now, as the line passes through (0,-5,-4), we can get the vector equation of the line as

r = a + td

where, t is the parameter.So, the vector equation of the line can be givend = (0,-5,-4) + t(1,0,0)Thus, the vector equation of the line through point (0,−5,−4) which is normal to the surface at (0,−5,−4) isr = (t, - 5, - 4) where t is any real number.

Note: In the given question, it was not mentioned about the surface. But it is given that the line is normal to the surface. So, the equation of the surface is taken as the plane equation.

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Answer:

You didn't post any choices so attached is the box plot:

The cake pan that will hold more butter is the rounded pan.

Mrs. Warren is making a cake, because she LOVES cake! She has two cake pans.

One cake pan is rectangular and measures 13 centimetres by 21 centimetres by 5 centimetres.

Therefore,

volume of the rectangular pan = 13 × 21 × 5

volume of the rectangular pan = 1365 cm³

Her other cake pan is round and has a diameter of 21 centimetres and is 4 centimetres high.

Volume of the rounded pan = πr²h

Volume of the rounded pan = 3.14 × (10.5)² × 4

Volume of the rounded pan = 1384.74 cm²

Therefore, the rounded pan will hold more butter.

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Answer:

Is that it's not about the answers and the questions

The appropriate difference test for Principal Jones to use when the population standard deviation is unknown and the data is measured on an interval scale is a single-sample t-test (option c).

This test is suitable because it allows for inference about the population mean based on a sample mean when the population standard deviation is not known. The t-test takes into account the sample size and the sample standard deviation, providing a more accurate estimate of the population mean.

In contrast, a chi-square goodness-of-fit test is used to analyze categorical data, a single-sample z test assumes knowledge of the population standard deviation, and a between-subjects ANOVA is used to compare means across multiple groups. The correct option is c.

The complete question is:

Principal Jones collects data on how students in her school performed on a standardized test that is measured on an interval scale. If the population standard deviation is not known, the appropriate difference test for Principal Jones to use is:

a) a chi-square goodness-of-fit test

b) a single-sample z test

c) a single-sample t test

d) a between-subjects ANOVA

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Answer:

Yes

Step-by-step explanation:

x+1 is a factor of f(x) because \(f(x)=(x+1)(2x^2-5x+12)\), which can be easily found via polynomial division or some other strategy. Because \(f(x)=(x+1)(p(x))\), where p(x) is a polynomial without remainder, x+1 is a factor of f(x).

You didnt give the problem or explain anything all you said is what he has to pay i think you forgot to add something BUDDY careful next time =)

Answer:

I think its 15

Step-by-step explanation:

25 + 25 = 50

So 15 + 15 = 30

Answer:

Two possible dimensions of the rectangle are 4x and 7/2 y.

Step-by-step explanation:

The Perimeter of a Rectangle

It's given the perimeter of a rectangle is

P = 8x + 7y

The formula to calculate the perimeter of a rectangle of dimensions L and W is:

P = 2W + 2L

Equating term by term, we can guess two possible dimensions of the rectangle:

2W = 8x

Dividing by 2:

W = 4x

And also:

2L = 7y

Dividing by 2:

L = 7/2 y

Thus, two possible dimensions of the rectangle are 4x and 7/2 y.

From the given equation we get that the optimal time is represented by the following inequality:

Now, recall that:

Therefore:

adding 1200 to the above inequality, we get:

Finally, dividing by 100 we get:

Answer: The time interval is between 10 and 14 days.

The r function that the data analyst can use to do this automatically is the clean names function.

When it comes to data manipulation, R is an excellent tool. It enables the use of several preprocessed packages, making data manipulation much easier.

Janitor's clean names() function will make all of your variable names consistent in a single line of code.

In R, a data analyst is cleaning up their data. To avoid errors in their analysis, they want to ensure that their column names are unique and consistent. What R function can they use to automate this? The clean names() function will ensure that column names are both unique and consistent.

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Answer:

32.1

Step-by-step explanation:

You add the code chunk arrange(bill_length_mm) to sort the column bill_length_mm in ascending order. The correct code is penguins %>% arrange(bill_length_mm). Inside the parentheses of the arrange() function is the name of the variable you want to sort. The code returns a tibble that displays the data for bill_length_mm from shortest to longest. The shortest bill length is 32.1mm.

Answer:

B. 8

Step-by-step explanation:

Step 1: Find g(-2)

g(-2) = (-2)² + 1

g(-2) = 4 + 1

g(-2) = 5

Step 2: Find f(5)

f(5) = 2(5) - 2

f(5) = 10 - 2

f(5) = 8

Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. if it's 6÷x=3, do 6÷3=2 to get the value of x. 6÷2=3.

Answer:

Prime number

Step-by-step explanation: because it doesn't have a value so yeah its a prime number.

Answer:

V = 0.5

Step-by-step explanation:

V = u + at

If U = 2, a = -5, and t = 1/2, then you can replace these in the equation to make the equation: V= 2 + (-5 x 1/2)

Solve the parenthesis first. -5 times 1/2 is -2.5.

Now the equation is V= 2 + -2.5

Simplifying that even more, 2 + -2.5 is 0.5

Therefore, V = 0.5

Hope this helped!

Answer: D. since the PPI measures the change of the price the producer receives for their product and the CPI measure the change of the price the consumer pays for the product, one should rise while the other will fall.​

Step-by-step explanation: Contrary to common belief, the price of a single item as listed in the CPI (Consumer Price Index) does not always rise and fall in tandem with the price of the same item in the PPI (Producer Price Index).

Answer:

Step-by-step explanation:

Tell him to not forget jill.

We have to prove (cosA−sinA+1)/(cosA-sinA-) = cotA+cosecA using Trigonometric Functions

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

L.H.S=(cosA−sinA+1)/(cosA-sinA-)

dividing by sinA

=cotA+1−cosecA/cotA−1+cosecA

​=(cotA−1+cosecA)(cotA+1+cosecA)/(cotA+1)²-cosec²A

=(cotA+cosec)²-1/2cotA

=cotA+cosecA(R.H.S)

​Hence the above trigonometric function is proved.

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3.31×\(10^-^5\) g is equivalent to 0.0331 μg which is obtained by using the conversion factor.

To convert from grams to micrograms, we need to consider the conversion factor that relates the two units. The prefix "micro-" represents a factor of \(10^-^6\), which means there are 1,000,000 micrograms in a gram. Therefore, to convert grams to micrograms, we multiply the given value by 1,000.

In this case, we have 3.31×\(10^-^5\) g. To convert this value to micrograms, we can multiply it by 1,000:

= 3.31×\(10^-^5\) g × 1,000

= 3.31×\(10^-^5\) × 1,000

= 3.31×\(10^-^5\) × \(10^{3}\)

= 3.31×\(10^(^-^5^+^3^)\)

= 3.31×\(10^-^2\)

= 0.0331 μg

Therefore, 3.31×\(10^-^5\) g is equivalent to 0.0331 μg.

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Answer:

A data type is an attribute associated with a piece of data that tells a computer system how to interpret its value

Step-by-step explanation:

Data types categorize data and specify its nature, amount characteristics, and behavior. It decides how data is handled within a computer system in terms of storage and manipulation.

Data types categorize data and specify its nature, characteristics, and behavior. It is a crucial part of every data structure and computer language. Primitive data types and complex data types are the two basic divisions of data types. Basic types like numbers, characters, booleans, and strings are examples of primitive data types. Arrays, objects, and records are examples of sophisticated data types that are more complex. Data types specify how information is handled and stored by computer systems. Size, precision, and range are a few examples of the unique qualities that each data type possesses. The arithmetic, comparison, and logic operations that can be carried out on the data are also determined by the data types.

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Answer:

36 yards = 1,296 inches.

The probability that the upward face shows a number that is a multiple of 3 is p = 1/3 .

Given :

When a dodecahedral die is rolled the possible outcomes are:

s = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }

The total numbers of possible outcomes is 12.

The numbers of outcomes whose upward face is multiple of 3 .

= { 3 , 6 , 9 , 12 }

so Number of favorable outcomes = 4

What is probability ?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Probability = number of favorable outcomes / number of possible outcomes

= 4 / 12

= 1 / 3

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Answer:

A.) Multiply or add terms in any order.

Step-by-step explanation:

The associative property allows you to add or multiply terms in any order.

Ex. (5 · 2) · 3 ⇔ (5 · 3) · 2

     (4 + 7) + 1 ⇔ (4 + 1) + 7

Answer:

The associative property states that you can A. (multiply or add terms in any order).

Step-by-step explanation:

The Associative propert lets you add or multiply number in any order.

For example,

(1 + 3) + 5 = 9 is the same as 3 + (1 + 5) = 9

(2 + 7) + 1 = 10 is the same as (1 + 2) + 7 = 10

(2 * 3) * 4 = 24 is the same as  (4 * 3) * 2 = 24

(10 * 2) * 4 = 80 is the same as (4 * 10) * 2 = 80

The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.

To find the median of a set of numbers, you need to first arrange the numbers in numerical order. The numbers from the given set, arranged in numerical order, are:

1, 3, 4, 6, 8, 12, 13, 23, 25, 26

The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.

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The changes in the volume of the spherical balloon is approximately o.3351-meter cube.

the volume of the sphere =\(v=\frac{4}{3}\pi r^3\)

using the definition of differential to find the change we write

                                          \(dv=\frac{4}{3}\pi (dr)^3\)

where,                               \(dr\)=\(r_{2}-r_{2}\)

                                         \(dr\)=\(2-1.8\\\)

                                         \(dr\) \(=0.2\)

                                         \(dv=\frac{4}{3}\pi (0.2)^3\)

                                         \(dv=0.3351\) approx.

where dr and dv represent the differential or change with respect to radius and volume in the above calculation. so first we apply differential on both sides of the formula of the sphere then we find its approximation by the next coming equation. so, the volume of the sphere is approximately 0.3351-meter cube here approximation represents that it is not the exact solution it is basically approximated solution.

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Answer:

3.2 π

Step-by-step explanation:

The volume V of a sphere with radius r is given by the formula V = (4/3) * π * r^3.

Taking the derivative with respect to r, we get dV/dr = 4 * π * r^2.

Let dr be the change in radius, which is 1.8 - 2 = -0.2.

The differential dV is given by dV ≈ (dV/dr) * dr = 4 * π * r^2 * dr.

Substituting r = 2 and dr = -0.2, we get dV ≈ 4 * π * 2^2 * (-0.2) = -3.2 * π.

So, using differentials, we estimate that the volume of the balloon decreases by approximately 3.2 * π cubic meters as it deflates from a radius of 2 meters to a radius of 1.8 meters.

The standard form is:

Convert each equation:

1. x² + 2x = -1                        add 1 to both sides

⇒ x² + 2x + 1 = 0

2. 4 + x² = 7x                        add - 7x to both sides and rearrange

⇒ x² - 7x + 4 = 0

3. x² - x = 1                            add - 1 to both sides

⇒ x² - x - 1 = 0

4. x² + 9x = 10                       add - 10 to both sides

⇒ x² + 9x - 10 = 0

5. 4x + 3 = x²                        add -4x - 3 to both sides

⇒ x² - 4x - 3 = 0

6. x² + 5x = 5                        add -5 to both sides

⇒ x² + 5x - 5 = 0

7. 2x² + 7x = 3                      add -3 to both sides

⇒ 2x² + 7x - 3 = 0

8. x² = 3x + 8                        add -3x - 8 to both sides

⇒ x² - 3x - 8 = 0

9. x(x + 3) = 1                         distribute and add - 1 to both sides

⇒ x² + 3x - 1 = 0

10. x² - 3x = -2                       add 2 to both sides

⇒ x² - 3x + 2 = 0

11. y² - 7y = -6                        add 6 to both sides

⇒ y² - 7y + 6 = 0

12. z² - 5z = -4                       add 4 to both sides

⇒ z² - 5z + 4 = 0

Answer: ^^

1. x2 + 2x + 1 = 0

2. x^2 - 7x + 4 = 0

3. x^2 - x - 1 = 0

4. x^2 + 9x - 10 = 0

5. -x^2 + 4x + 3 = 0

6. x^2 + 5x - 5 = 0

7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0

8. x^2 - 3x - 8 = 0

9. x^2 + 3x - 1 = 0

10. x^2 - 3x + 2 = 0

11. y^2 - 7y + 6 = 0

12. z^2 - 5z + 4 = 0

Step-by-step explanation:

:)

Answer:

16

Step-by-step explanation:

each sheep has about 6.42 pounds of wool so if you do 100/6.42 you get 15.5 but there isn't half sheeps so you round up to 16

Answer:

Step-by-step explanation:

6. Complementary angles add up to 90 degrees

m<S is 52

90-52= 38

m<R is 38

38=3x+2

-2

3x=36

x=12

7.

Lines are always equal to 180

(5x+1)+(12x-8)=180

17x-7=180

+7

17x=187

x=11

8.

These angles are equal to each other '

79= 4x+15

-15

64=4x

x=16

Hope this Helps!