help meeeeeeee please

Answer:

-1/3

Step-by-step explanation:

gradients of perpendicular lines= m1 × m2=-1

hence , 3 × m2 = -1

m2 -1/3

Gross salary of an individual is $150 000 a year if they pay a tax of 30% then net salary is equal to $8750 per month and $105000 per year.

As given in the question,

Gross salary of an individual is $150 000 a year

Percentage of tax on gross salary =30%

Amount of tax is equal to

= 30% of $150 000

= (30/100)× 150 000

= $45000

Net salary per year

= $(150 000 - 45000)

= $105000

Net salary per month

= $(105000/12)

= $8750

Therefore, gross salary of an individual is $150 000 a year if they pay a tax of 30% then net salary is equal to $8750 per month and $105000 per year.

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Answer:

The answer is 4

The inequality that is represented by the number line is C. x ≤ 7.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line. A difference between two values indicates whether one is smaller, larger, or simply not equal to the other.

It should be noted that from the number line, we can see that the arrow starts from -7 and then moves backwards. This shows that it's x ≤ 7.

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Factorization of the  given equation : 6x² + 7x +2 is equal to

(2x +1 ) ( 3x +2 ).

As given in the question,

Given equation is

6x² + 7x +2

Using the sum and the product pattern we get

Product of extreme terms is 6 × 2=12

Factors of 12 are 1, 2, 3, 4, 6,12

4 ×3=12(product of extreme terms)

4 +3 = 7(middle term)

Factorize the equation by splitting  middle term

6x² +7x +2

=6x²+ 4x +3x +2

=2x( 3x+2)+1(3x+2)

=(2x+1)(3x+2)

Therefore, factorization of the  given equation : 6x² + 7x +2 is equal to

(2x +1 ) ( 3x +2 ).

The complete question is :

Factorize the given equation : 6x² + 7x +2 .

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Answer: 64 is the answer

Step-by-step explanation:

I had a question like this and got it right! Hope this the correct answer for you!

well, we know that the regular price is 320 bucks, but is discounted by 20% so

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 320}}{\left( \cfrac{20}{100} \right)320}\implies 64~\hfill \underset{\textit{discount price}}{\stackrel{320~~ - ~~64}{\text{\LARGE 256}}}[/tex]

By estimating the linear inequality, the possible numbers of hours the chemistry club could rent the meeting room exists 9 hours.

In mathematics, an expression with uneven sides is referred to as an inequality. When a relationship leads to a non-equal comparison between two expressions or two numbers, it is referred to as an inequality in mathematics.

In this case, the equal sign "=" is replaced with any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol ().

Strict inequalities are denoted by the symbols "" and ">," whereas slack inequalities are denoted by "" and "". A linear inequality has the same appearance as a linear equation, but uses a different symbol to link the two expressions.

To rent a certain meeting room, a college charges a reservation fee of $19 - 16 and an additional fee of $6 per hour. The chemistry club wants to spend at most $67 - 70

Given that, college charges a reservation fee of $19 and an additional fee of $6 per hour.

The chemistry club wants to spend at most $67.

To estimate the possible numbers of hours the chemistry club could rent the meeting room:

The governing inequality is

19 + 6t < 67

The solution is

t < (67-19)/6

simplifying the above equation, we get

t = 8 hours.

Therefore, the value of t = 8 hours.

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Answer:

answer a

Step-by-step explanation:

spongy bone in the center

Answer:

i) 62

ii) 92

iii) 28

Step-by-step explanation:

i) 19+23+20

=62

ii) 23+9+9+7+19+5+20

=92

iii) 120-23-9-9-7-19-5-20

or

120-92

=28

The value of f(1) is the value of function f(x) at x = 1 which is 0.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

So,

We have given that the function

f(x)=[tex]2x(1-x)^2[/tex]

So, when x = 1

f(x)= [tex]2(1)(1-1)^2[/tex]

f(x)= 2(1)(0)

f(x)= 0

Therefore, The value of function f(x ) at x = 1 is f(1) 0.

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4/5 is the probability that jack will win at least 30 points in a throw.

So, the probability formula:

Now, insert values in the formula as follows:

Therefore, 4/5 is the probability that jack will win at least 30 points in a throw.

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The formula of the volume of a rectangular prism

we substitute the values given

l=length= 1/3cm

w=width=1/2cm

h=height=1/4cm

The measure of the corresponding angle; ∠UZP = 95°.

For the given question;

Lines TU || RQ || VW are parallel.

The measure of the ∠RPZ= 95.

Thus, from the diagram,

∠UZP = ∠RPZ= 95

As both angles are corresponding angle so equal.

Therefore, the measure of the ∠UZP = 95°.

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Yes!, This is a proportional relationship.

A proportional relationship means that the ratios of two variables are equal.

According to the question, the requirements of the recipe are

Number of cups of sour cream required be x1 = 4

Number of packages of onion soup mix required be y1 = 3

Used products by Harlan,

Cups used by Harlan of sour cream be x2 = 2

Packages of onion soup mix used by Harlan be y2 = 1.5

As we can see that,

x1/x2 = y1/y2

4/2 = 3/1.5

2 = 2

L.H.S = R.H.S                          ( ratio is same)

Therefore, we conclude that the above case is a proportional relationship.

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Answer:

105 and five kids can attend

Step-by-step explanation:

12 divide by 4=3

this means that 3 groups of kids can go

so 35 x 3=105

therefore

Answer:

105 and five kids can attend

Step-by-step explanation:

12 divide by 4=3

this means that 3 groups of kids can go

so 35 x 3=105

So the answer is 105

The contrapositive statement is If an angle is a right angle, then is not an obtuse angle True. Option B

A contrapositive statement can be defined as a theorem created by contradicting the hypothesis and conclusion of a statement.

It involves exchanging both the hypothesis and conclusion of a given conditional statement and then negating both hypothesis and conclusion.

It is a combination of an inverse and converse statements.

The hypothesis and conclusion are interchanged or switched.

A contrapositive statement is written as;

a b is equivalent to b ~a

Given the statement;

Obtuse angles are not right angles.

The contrapositive statement is :

If an angle is a right angle, then is not an obtuse angle

Thus, the contrapositive statement is true

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The sequences are :

a. 2 , 16 , 18 , 54 , 162  is Geometric progression

Three terms : 486, 1458, 4374.

b. 1, 6 , 11, 16, 21  is arithmetic  progression

Next three terms  26, 31., 36..

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Answer:

1. Undefined

2. A

Explanation:

Part 1

The value of 10/0 is undefined because you cannot divide by 0.

Part 2

From the given options:

Therefore, A is the correct choice.

Answer:

221

Step-by-step explanation:

Interest goes up 5 dollar each year

(a) 291/2020

Divide the total for the 10-14 year column by the total.

(b) 77/465

There are 465 people from the east, 77 of which were loyal for 10 to 14 years

(c) 437/1010

There are 291+583=874 people who were loyal for at least 10 years. Divide this by the total of 2020 people.

(d) 145/376

376 people are from the West, (45+100)=145 of which are at least 10.

(e) 32/157

157 people were loyal for less than a year, 32 of which were from the East.

(f) 53/157

157 people were loyal for less than a year, 53 of which were from the South.

(g) 433/465

465-32=433 people were loyal for at least 1 year out of the 465 people from the East.

(h) 335/376

376-41=355 people were loyal for at least 1 year out of the 376 people from the West.

Probability to like both of them is 0.02.

Probability to like neither of the songs is 0.62.

Probability to like at least one of the songs is 0.44

What is probability?

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Given Data

The album has 10 songs and

it turns out you really like 5 of them.

a) You like both of them

P(like both of them )

= [tex]\frac{2}{10}[/tex] ×[tex]\frac{1}{9}[/tex]

= 0.02

Probability to like both of them is 0.02.

b )you like neither of the songs

P(like neither of the songs)

= [tex]\frac{8}{10}[/tex] ×[tex]\frac{7}{9}[/tex]

= 0.62

Probability to like neither of the songs is 0.62.

c) you like at least one of the songs

P( like at least one of the songs)

2 ×[tex]\frac{2}{10}[/tex] ×[tex]\frac{1}{9}[/tex]

= 0.44

Probability to like at least one of the songs is 0.44

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Answer: 6000 at 3% and 22000 at 6%

Step-by-step explanation:

x + y = 28,000

0.3x + 0.6y = 1500

multiply everything in the first equation by 0.3 since we want to be able to eliminate the variable x from both equations.

0.3x +0.3y = 840  then subtract second equation to just get one variable

0.3x + 0.6y =1500

-0.3y = -660

y = 22000

28000 - 22000 = 6000 which is x

So 6000 is  invested at 3% and 22000 is at  invested at 6%

Answer:

h(1)=h(1-2)+h(1-1)

h(1)=h(-1)+h(0)

h(-1)-h(-1)=0

h(0)=h(0)

Answer: second option

y= -5x +1

The product of three different prime numbers that has largest factor is 13 and is between 185 and 200 is 195.

It should be noted that prime numbers are the numbers that can be divisible by only 1 and itself. They include 2, 3, 5, 7, 11, 13, etc.

It should be noted that the information illustrated that the prime numbers are 3, 5 and 13. The multiplication will be:

= 3 × 5 × 13

= 195

The number is between 185 and 200.

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Answer:

Step-by-step explanation:

20$

Answer:

48 feet

Step-by-step explanation:

Areas of a square is the length times the width.  In a square the length and width are the same number because all the sides of a square have the same length.

12 x 12 = 144, so each side of the pen is 12 feet.  We want to find the perimeter (the distance around the square).  4(12) = 48

Answer: 83/1000 should be the answer

Step-by-step explanation:

0.083 goes to the thousandths place. Which would mean the denominator would be 1000, and in the hundredths and thousandths place it says 83, so the numerator would be 83. Resulting in the answer, 83/100.

The solution of the expression 0.083 in form of fraction is,

⇒ 83/1000

We have to given that,

Write a number 0.083 as a fraction.

Here, The number is,

⇒ 0.083

⇒ 0.083 x 1000 / 1000

⇒ 83/1000

Therefore, The solution of the expression 0.083 in form of fraction is,

⇒ 83/1000

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Answer:

I think the answer would be 33