WHat is 5/1 x 4/5 This is a hard one

A solution to this inequality |y + 4| < 1 in as an interval is: A. −5 < y < –3.

An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Adding -1 to both sides of the inequality, we have:

|y + 4| + (-1) < 1 + (-1)

|y + 4| - 1 < 0

Evaluating the absolute value function, we have the following:

y + 4 < ±1

For the positive interval, we have:

y < -4 + 1

y < -3

For the negative interval, we have:

y < -4 - 1

y < -5

Finally, we would express the solution to this inequality as an interval as follows:

-5 < y < -3.

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Complete Question:

What is a solution to this inequality |y + 4| < 1?

A. −5 < y < –3

B. –3 < y < 5

C. –4 < y < 1

D. 1 < y < 4

The elements of AUB is {6, 7, 8, 9, 11} when A = {6,7,8,11} and B = {7,6,7,9}.

According to the question,

We have the following information:

A = {6,7,8,11} and B = {7,6,7,9}

Now, we know that the elements of AUB means that all the elements which are there in both sets but the elements are not supposed to be repeated.

(Please that AUB can also be found using Venn diagram and questions are asked where the question has to be solved by making Venn diagram and representing all the elements in it.)

So, we have the following expression:

AUB = {6,7,8,9,11}

(Now, note that numbers however repeated in sets are not repeated here.)

Hence, the elements of AUB is {6, 7, 8, 9, 11} when A = {6,7,8,11} and B = {7,6,7,9}.

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Answer:

two times x plus two

Step-by-step explanation:

According to the solving the percent error = 11.764%

The percent error is the distinction between the estimated value and the real value in relation to the actual value. In those other words, the relative error is multiplied by 100 to calculate the percent error.

The difference between an approximate number and an exact value is measured in percent error. The bigger the percentage error, the further your estimated value deviates from the known value; conversely, the smaller the percentage error, more closer your approximation to the true value.

Actual value = 408

Expected value = 456

We know that the percent error :

= (expected value - actual value)/actual value.

= (456 - 408)/ 408

= 48/408

= 11.764

= 11.764%

According to the solving the percent error = 11.764%

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24.

[tex](6x+3y)-\frac{z^{2}}{(2x)}[/tex]

[tex](6(3)+3(4))-\frac{(6)^{2}}{(2(3))}[/tex]

a) Solve parenthesis.

[tex](18+12)-\frac{(6)^{2}}{6}\\ \\30-\frac{(6)^{2}}{6}[/tex]

b) Solve the exponent.

[tex]30-\frac{36}{6}[/tex]

c) Divide.

[tex]30-6[/tex]

d) Subtract.

[tex]24.[/tex]

Answer:

1350 ml

Step-by-step explanation:

(1800 : 4) * 3

450 * 3

1350 ml

The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) .

In the question ,

it is given that

the number is x ,

we have to find the expression , that represents the difference of 20 and 3 times a number .

three times the number x is denoted by 3x .

and the difference of 20 and three times the number x is 20 - 3x .

the expression is (20 - 3x).

Therefore , The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) 20 - 3x .

The given question is incomplete , the complete question is

Which answer choice represents the difference of 20 and 3 times a number x ?

(a) 3x + 20

(b) 20(3x)

(c) 20 – 3x

(d)  (20 · 3)x

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60% of the fruit punch is orange juice.

In this question, we have been given 3/5 of a fruit punch is orange juice.

We need to find the percentage of the fruit punch is orange juice.

3/5 of a fruit punch is orange juice, means 3 of 5 fruit punch is orange juice.

Using the percentage formula,

3/5 * 100

= 0.6 * 100

= 60%

Therefore, 60% of the fruit punch is orange juice.

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For the given ratio of orange juice , the percentage of the orange juice from the given fruit juice is equal to 60%.

As given in the question,

Ratio of orange juice in the given fruit juice = 3/5

From the given ratio it indicates out of 5 fruits 3 are orange

Percentage of fruit punch is orange juice in the given juice is equal to

= ( 3 / 5 ) × 100

= ( 3 × 100 ) / 5

= 300 / 5

= 60%

60% of the fruit punch is orange juice.

Therefore,  for the given ratio of orange juice , the percentage of the orange juice from the given fruit juice is equal to 60%.

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a. The annual base premium when Danielle cecils driver rating factor is 1.60 and her car is in age group is $709.

b. The annual premium is $1134.40

It should be noted that the annual premium simply refers to the amount of premium that's paid yearly by the entity. The insurance company has premium payment options for the clients.

The annual base premium will be:

= Liability premium + Collision premium + Comprehensive premium

= $383 + $240 + $86

= $709

The annual premium will be:

= Annual base premium × Driver rating factor

= $709 × 1.60

= $1134.40

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The expression [tex](\frac{1}{4^{-3 } } )^{-2}[/tex] is less than 1.

The sign to change to make the expression greater than 1 is changing the sign of the exponential value which will make the new expression as

[tex](\frac{1}{4^{-3 } } )^{2}[/tex]

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).

In other words, an algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.)

Therefore, let's simplify the expression to know if it's equals to 1, greater than 1 or less than 1.

[tex](\frac{1}{4^{-3 } } )^{-2}[/tex]

using law of indices,

[tex](\frac{1}{4^{-3 } } )^{-2}[/tex] = 1 × [tex](4^{-3} )^{2}[/tex]

4⁻⁶  = 1 / 4⁶ = 1 / 4096

Hence,

1 / 4096 = 0.00024414062

Therefore,  the value is less than 1.

Let's change one sign to make the expression greater than 1.

Therefore, the expression will be [tex](\frac{1}{4^{-3 } } )^{2}[/tex]

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The value of x is -1 for equation -4x = -x + 3

Two or more expressions with an Equal sign is called as Equation.

The given equation is -4x = -x + 3

In the given equation minus four times of x equal to minus x plus three

x is the variable

Plus and minus are operators

-4x = -x + 3

Take the variables to one sides

Add +x on both sides

-4x+x=-x+x+3

-3x=3

Divide both sides by -3

x=-1

Hence, the value of x is -1 for equation -4x = -x + 3

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The composition f(4) has a value of -27

The definition of the functions is given as

f(x) = -2x^2 + 5

Rewrite the above function properly

So, we have the following representation

f(x) = -2x² + 5

To find the function f(4), we set the value of x in the equation f(x) = -2x² + 5

This is represented by

Calculate f(x), when x = 4

Substitute 4 for x in the equation f(x) = -2x² + 5

So, we have the following equation

f(4) = -2(4)² + 5

Evaluate the exponents

This gives

f(4) = -2 * 16 + 5

Evaluate the products

This gives

f(4) = -32 + 5

Evaluate the sum

f(4) = -27

Hence, the value of the function is -27

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Answer:

4

Step-by-step explanation:

aint no way...this is literally 1st grade math...anyways

7(x)=28

divide both sides by 7

x=4

Answer:

5

Step-by-step explanation:

:)

Answer:5

Step-by-step explanation:|-10|-|-5|

                                             10-5

                                              5

The quotient will be x² + 5x + 2 and the remainder will be 1.

Synthetic division method is a method used to divide polynomials. It is used to divide polynomial with a linear factor whose leading coefficient is 1.

We will factorize x³ + 7x² + 12x + 5 by x + 2 using synthetic division method.

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Answer:

4/15

Step-by-step explanation:

[tex]\frac{3}{5}=\frac{9}{15} \\ \\ \frac{1}{3}=\frac{5}{15} \\ \\ \frac{3}{5}-\frac{1}{3}=\frac{9}{15}-\frac{5}{15}=\frac{4}{15}[/tex]

By using addition, subtraction, multiplication and division of integers,

it can be calculated that

There are 3 groups of 9 and 21 groups of 10

What is addition, subtraction, multiplication and division of integers?

Addition of integers is used to find the sum total of two or more integers.

Subtraction of integers is used find the difference between two integers.

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

Division is the process in which the value of single unit can be calculated from the value of multiple unit

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

Here, addition, subtraction, multiplication and division of integers will be used

Total number of boys = 121

Total number of girls = 116

Total number of students = 121 + 116 = 237

Now,

The leader first makes groups of nine students each and then assigns any remaining students to make some groups of 10 students

So the group of 9 is to be made in such a way that on multiplying the number by 9, unit digit of 7 is obtained

So the number is 3 as 9 [tex]\times[/tex] 3 = 27

Remaining number of students = 237 - 21 = 210

They will enter into a group of 10

Number of group of 10 = 210[tex]\div[/tex] 10 = 21

There are 3 groups of 9 and 21 groups of 10

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Answer:

see explanation

Step-by-step explanation:

(a)

parallel line segments are indicated by arrows on the segments pointing in the same direction.

from the diagram EA and DC are parallel lines.

(b)

equal lines are indicated by a dash through the lines.

from the diagram AB and BC are equal.

(c)

perpendicular lines are at right angles (90° ) to each other, usually indicated by a small box between them.

from the diagram AE and CD are perpendicular to DE

The way the decrease in confidence affect the sample size​ required is: A. Decreasing the confidence level decreases the sample size needed.

Using this formula to find the decrease in sample size

n = [zs/E]^2

Where:

n = Sample size

zs = z-score

E=  margin of error

Confidence coefficient for 99% = 2.58

Hence,

2.58 × 13.8/sqrt(n) = 0.04

2.598 × 13.4 /0.04 = sqrt(n)

( 2.598× 13.8 /0.04)^2  = n

n=803,371.6

So,

Confidence coefficient for 90% = 1.64

n= (1.64× 13.8/0.04)^2

n =320,129.64

Therefore the correct option is A.

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The complete question is:

A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming S=13.8 based on earlier​ studies? Suppose the doctor would be content with 90 confidence. How does the decrease in confidence affect the sample size​ required?

How does the decrease in confidence affect the sample size required

A. Decreasing the confidence level decreases the sample size needed.

B. The sample size is the same for all levels of confidence.

C. Decreasing the confidence level increases the sample size needed.

The equation of the relationship is 2x + 4y = 45 and the graph is attached

From the question, we have the following parameters:

This means that

Price of each drink = Half $4

Evaluate

Price of each drink = $2

Represent the number of drinks with x and the number of bucket of popcorn with y

So, we have the following representation

Total amount of popcorn + Total amount of drinks = Total amount

This gives

2x + 4y = 45

Next, we sketch the graph

See attachment for the graph of the equation

The graph is represented by a straight line

This means that it is a linear equation

Also, the graph touches the axes at (0, 11.25) and (22.5, 0)

This means that the highest number of drinks and buckets are 11.25 and 22.5 respectively

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Answer:

Classification - Right Scalene

Perimeter - 30ft

Area - 30ft

Step-by-step explanation:

Classification - There's a right angle, and 3 unequal sides.

Perimeter - 5 + 13 + 12 = 30

Area = 5*12=60, 60/2 = 30

Probability that S assumes a value between 280 and 320 inclusive is 0.853.

S = Σ[tex]X_{i}[/tex] where  [tex]X_{i}[/tex] has a uniform distribution on 1, 2, 3, 4, 5, with mean 3 and variance (25 – 1)/12 = 2 (result known, or calculated via E[[tex]X^{2}[/tex]] = 11, or from book of formulae, p10, with a = 1, b = 5, h = 1).

So S ~ N(300, 200) approximately.

P(280 ≤ S ≤ 320) = [tex]P(\frac{279.5-300}{\sqrt{200} } < Z < \frac{320.5-300}{\sqrt{200} })[/tex]

                           = [tex]P(-1.450 < Z < 1.450)[/tex]

                           = 0.853.

Hence, probability is 0.853.

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Marissa will have $720 in 7 years when she has $48 in her saving account that earns 2% simple interest per year.

where

Calculation

From, A = P(1 + RT)

where, p = $48

R = 2%

T= 7 years

A = 48(1 + 2*7)

A = $720

Hence, Marissa will have $720 in her bank account after 7 years.

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Answer:

The distance between two points on a 2D coordinate plane can be found using the following distance formula. d = √ (x2 - x1)2 + (y2 - y1)2. where (x 1, y 1) and (x 2, y 2) are the coordinates

Step-by-step explanation:

Answer:

[tex]\frac{50}{50\\}[/tex] [tex]= \frac{65}{50}[/tex]

Now cross-multiply

Let p represent the percentage

50(50) = 50(65) ; 2500p = 3250

now divide 2500 on both sides to find p

2500p/2500 and 3250/2500

p = 1.3 ; percentage change is equal to %1.3 increase

The required net income of the companies is given as 49,000.

Given that,
Accounts receivable of 88000 and accounts payable of 39000 and have revenues of 121000 and expenses of 83000 what is the company's net income is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Total income = 88000 + 121000 = 209000
Total outflow = 39000 + 83000 = 122000
Net income = 209000 - 122000 = 49000

Thus, the required net income of the companies is given as 49,000.

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Required values are to be put in blank space,

a. 99

b. 10

c. 5

after using logarithmic properties.

The other technique to write exponents in mathematics is using logarithms. A numbers  base based logarithms is equal to other number. A logarithm performs exponentiation's exact opposite function

For example:

If 10² = 100 then log₁₀¹⁰⁰ = 2.

Some logarithmic properties used are:

All of the questions are based on simple logarithmic properties:

a. In this properties used are,

   logₐˣ + logₐⁿ = logₐˣⁿ

   log₅⁹ + log₅¹¹ = ?

   comparing with general form, we get

   log₅⁹ + log₅¹¹ = log₅⁹⁹

b. In this properties used are,

   logₐˣ - logₐⁿ = logₐ[tex]^{x/n}[/tex]

   ? - log₉⁷ = log₉[tex]^{10/7}[/tex]

   comparing with general form, we get

   log₉¹⁰ - log₉⁷ = log₉[tex]^{10/7}[/tex]

c. In this properties used are,

   logₐ⁽ˣ⁾ⁿ = n logₐˣ

   log₂[tex]^{1/25}[/tex] = log₂⁽[tex]^{1/5}[/tex]⁾² = -2 log₂⁽⁵⁾

   Comparing with general form, we get

   log₂[tex]^{1/25}[/tex] = -2log₂⁵

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