which ordered pair lies on the graph of the function y= -2x +1

Answer:

A

D

Step-by-step explanation:

(x,y)→(−y,x)

(-6,3)→(-3,-6)

(2,-3)→(-6,2)→(-3,1)

Answer:

Step-by-step explanation:

The first step is to find the volume of the cube with the circular hole in the middle. The volume of the cube can be calculated as:

V_cube = (side length)^3 = 14^3 = 2744 mm^3

The hole is a cylinder with radius 6 mm and height 14 mm (the same as the side length of the cube). The volume of the cylinder can be calculated as:

V_cylinder = π(radius)^2(height) = π(6^2)(14) ≈ 1,657 mm^3

Therefore, the total volume of plastic used in each prototype is:

V_total = V_cube - V_cylinder ≈ 1,087 mm^3

To find the total volume of plastic needed for 9,000 prototypes, we can multiply the volume per prototype by the number of prototypes:

V_total_9000 = 9,000 * V_total ≈ 9,783,000 mm^3

Finally, we can calculate the cost of the plastic by multiplying the total volume by the cost per cubic millimeter:

Cost = V_total_9000 * $0.07/mm^3 ≈ $685,810

Therefore, the plastic for the prototypes will cost approximately $685,810.

Answer:

C

Step-by-step explanation:

Angie already has a fixed number of antiques - 4213 antiques. the rate of increase of ducks would depend on the number of weekends. this is the variable number of antiques

thus the equation is :

y = 4213 + 3x

Using the law of Sines

Consider the given triangle

Let A = 27°, the a = 11

Let B = 34°, the b = x

Substitute the values into the sine rule formula

This gives

Cross multiply

Divide both sides by sin 27

This gives

Solve for x

Therefore, the value of x is approximately 13.55

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

700(7/10)

4900/10

490 students carrying backpack

Since Kyle invested $500 and received $650 after three years, the value of Kyles's interest rate is 43.3%.

Given the following data:

To calculate the value of Kyles's interest rate:

Mathematically, simple interest is given by the formula:

\(S.I = \frac{PRT}{100}\)

Where:

Making R the subject of formula, we have:

\(R = \frac{100S.I}{PT}\)

Substituting the given parameters into the formula, we have;

\(R = \frac{100 \times 650}{500 \times 3}\\\\R = \frac{65000}{1500}\)

Interest rate, R = 43.3%

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Given:

The expression is:

\(-\dfrac{1}{4}-\left(\dfrac{2}{5}+\dfrac{3}{7}\right)\)

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

\(-\dfrac{1}{4}-\left(\dfrac{2}{5}+\dfrac{3}{7}\right)\)

Using the distributive property, we get

\(=-\dfrac{1}{4}-\dfrac{2}{5}-\dfrac{3}{7}\)

Taking LCM, we get

\(=\dfrac{-35-56-60}{140}\)

\(=\dfrac{-151}{140}\)

Therefore, the expression \(-\dfrac{151}{140}\) is equivalent to the given expression expression.

Note: There are more than one equivalent expressions.

Answer:

56ft

Step-by-step explanation:

Answer:

D

E

Step-by-step explanation:

we need to multiply x+y=7 by   2

2x+2y=14

5x+2y=8

subtract

-3x=6

x=6/(-3)=-2

-2+y=7

y=7+2=9

solution is (-2,9)

An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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Answer:

Step-by-step explanation:

To find the median of a set of data, we first need to arrange the data numbers from smallest to largest. The median is the middle data number in the list.

Given:

5, 0, 1, 3, 9, 0

Arrange the numbers:-

0, 0, 1, 3, 5, 9

Median = 1, 3

Since there are even amount of numbers, the median will be the average of the two middle data numbers.

To find the median, we'll add the numbers 1 + 3 and then divide them by two. (since they are 2 set numbers):-

Therefore, the median of this set of data is 2.

__________________________

Hope this helps! :)

Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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Answer: 19.8 acres

Step-by-step explanation:

multiply 54.8 by .35 to get 19.18

Answer:

Fraction of composite numbers = 6/10

Fraction of prime numbers = 4/10

Step-by-step explanation:

A composite number can be defined as a positive integer that will be formed when we multiply two smaller positive integers. It can also be said to be a positive integer that has at least one divisor of which 1 and itself are not included.

Thus, it means that the set of numbers given to us which is;

(11, 12, 13, 14, 15, 16, 17, 18, 19, 20), the composite numbers are;

12, 14, 15, 16, 18, 20

This is because each of them have at least one divisor that is neither itself or 1.

Thus, we have 6 out of the 10 numbers as composite.

Fraction of composite numbers = 6/10

Now, a prime number is a number that are only divisible by itself and 1.

Thus,from the given set, the prime numbers are; 11, 13, 17 & 19

We have 4 out of 10 numbers as prime numbers.

Thus, fraction of prime numbers = 4/10

Answer:

But where are the rectangles??

Let's start by defining some variables:

Let's call Jamal's age "J".

Let's call Alex's age "A".

From the problem statement, we know that:

J = A - 5 (Jamal is 5 years younger than Alex)

J * A = 300 (the product of their ages is 300)

We can use the first equation to substitute J in the second equation:

(A - 5) * A = 300

Expanding the left-hand side:

A^2 - 5A = 300

Moving all terms to the left-hand side:

A^2 - 5A - 300 = 0

We can solve for A using the quadratic formula:

A = (-(-5) ± sqrt((-5)^2 - 41(-300))) / (2*1)

A = (5 ± sqrt(25 + 1200)) / 2

A = (5 ± sqrt(1225)) / 2

Since A is a positive integer, we take the positive solution:

A = (5 + 35) / 2 = 20

Now we can use the first equation to find J:

J = A - 5 = 20 - 5 = 15

Therefore, Jamal is 15 years old.

Answer:  \(\frac{1}{3}\)  (One third)

Step-by-step explanation: There are 3 numbers below 8. So 3 is the denominator as there are 3 different options to choose. There is only 1 six so, it is the numerator.

Answer:

1/8

Step-by-step explanation:

Convert to fraction

6:48 is 6/48 as a fraction. Now simplify.

1. Find the GCD (or HCF) of numerator and denominator

GCD of 6 and 48 is 6

Divide both the numerator and denominator by the GCD

6 ÷ 6/

48 ÷ 6

Reduced fraction:

1/8

Therefore, 6/48 simplified to lowest terms is 1/8.

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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The error interval for x is 3.65,3.74.

Given that,

Now based on the above information, the number should be more than or equivalent to 5 at the n+1 place

Based on the above information, we can conclude that the error interval for x is 3.65,3.74.

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Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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A 90% confidence interval for proportion p ( for registered voters that would vote to raise taxes) = 0.483 is 0.483 +/- 0.024... So, the correct answer is option (b).

We have provide a random sample of 1200 registered voters and found that 580 would vote to raise taxes.

Sample size , n = 1200

The number of voters rise the tax = 580

Let p represent the proportion of registered voters in the state that would vote to raise taxes. From reading the provide data we get ,

sample proportion p = 580/1200 = 29/60 = 0.483

To use the standard error, we replace the unknown parameter p with the p-cap statistic , so p-cap = 0.483

Standard error = √p-cap (1 - p-cap )/n

= √0.483(1- 0.483)/1200 =√0.483(0.517)/1200

=√0.0002080925

= 0.0144254116

Now, the 90% confidence interval for p is

p-cap +/- z√(p-cap(1 - p-cap)/n)

Using the Z-table, z-value for 90% confidence interval is 1.645...

So, p-cap +/- z√((1 - p-cap )/n) = 0.483 +/- (1.645)0.014425

= 0.483 +/- 0.023729125 ~ 0.483 +/- 0.024

Hence, the required interval is 0.483 +/- 0.024.

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Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Step-by-step explanation:

100 equals the exponential expression 10^2. So 100 times 100 can be written as an expression: 100 × 100

10^2 × 10^2

The product can be written as 10² x 10².

Any whole-valued (integer) power of 10 is the power of 10. To put it another way, when the power is any positive integer, the power of 10 indicates that the number 10 has been multiplied by itself n times. Therefore, the long-form 10 power is the number 1, followed by n zeros, where n is the number greater than or equal to 0.

Given 100 times 100

which is

100 x 100

to convert in power of 10,

Move the decimal point to the left side of its original position and place it after the first digit if the whole number greater than 10 is to be converted into the power of 10 Math. The number of places the original decimal point was moved will be represented by the power of 10, which will be positive as it moves to the left.

so 100 can be written as 10²,

and 100 x 100 is written as

10² x 10²

Therefore 100 times 100 is written as 10² x 10².

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Answer:

it opens up, when the first number is a positive, the parabola opens up, when the first number is a negative, the parabola opens down. in this case, the number is positive, so up is the answer

Step-by-step explanation:

Answer:

Upward

Step-by-step explanation:

because the therm that multiply x^2 is positive

Recall that

\((a+b)^3=a^3+3a^2b+3ab^2+b^3\)

which means

\(\left(r+\dfrac1r\right)^3=r^3+3r^2\left(\dfrac1r\right)+3r\left(\dfrac1r\right)^2+\left(\dfrac1r\right)^3=r^3+3r+\dfrac3r+\dfrac1{r^3}\)

Given that \(r+\frac1r=\sqrt2\), we have

\((\sqrt2)^3=r^3+3\sqrt2+\dfrac1{r^3}\)

\(\implies r^3+\dfrac1{r^3}=2\sqrt2-3\sqrt2=\boxed{-\sqrt2}\)

Answer:

\( g(3) - h(3) = -16 \)

Step-by-step explanation:

Given:

\( g(x) = 2x - 5 \)

\( h(x) = 4x + 5 \)

Required:

\( g(3) - h(3) \)

SOLUTION:

Substitute x = 3 into \( g(x) = 2x - 5 \)

\( g(3) = 2(3) - 5 \)

\( g(3) = 6 - 5 \)

\( g(3) = 1 \)

Substitute x = 3 into \( h(x) = 4x + 5 \)

\( h(3) = 4(3) + 5 \)

\( h(3) = 12 + 5 \)

\( h(3) = 17 \)

Therefore:

\( g(3) - h(3) = 1 - 17 = -16 \)