Which of the following is the inverse of the statement "If I like math, then I like science"? A. If I do not like science, then I do not like math. B. If I do not like math, then I like science. C. If I do not like math, then I do not like science. D. If I like science, then I like math

Answers

Answer 1

Original Conditional: If P, then Q

Inverse: If not P, then not Q

Using that template, the inverse would be "If I do not like math, then I do not like science" (simply insert those two "not" words keeping the order the same)

so the answer is choice C

Answer 2

Answer:

Option C If I do not like math, then I do not like science

Step-by-step explanation:

we know that

To find the inverse of a conditional, negating both the hypothesis and conclusion of a conditional statement

In this problem we have

"If I like math, then I like science"

therefore

the inverse is

If I do not like math, then I do not like science

Related Questions

Compute

$(\sqrt{3755}+\sqrt{3752})(-\sqrt{3755}-\sqrt{3752})(\sqrt{3755}-\sqrt{3752})(\sqrt{3752}-\sqrt{3755})$.
Thanks!

Answers

We could use:

[tex](a-b)(a+b)=a^2-b^2[/tex]

For the first and third factors there will be:

[tex](\sqrt{3755}+\sqrt{3752})(\sqrt{3755}-\sqrt{3752})=(\sqrt{3755})^2-(\sqrt{3752})^2=\\\\3755-3752=3[/tex]

and for the second and fourth:

[tex](-\sqrt{3755}-\sqrt{3752})(\sqrt{3752}-\sqrt{3755})=\\\\= (-\sqrt{3755}-\sqrt{3752})(-\sqrt{3755}+\sqrt{3752})=\\\\= (-\sqrt{3755})^2-(\sqrt{3752})^2=3755-3752=3[/tex]

So the answer is:

[tex]3\cdot 3=\boxed{9}[/tex]

The sum of three numbers is 104. The first number is 6 less than the second. The third number is 3 times the second. What are the numbers

Answers

We can write this in math as x+y+z=104, x=y-6, and z=3y

Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.

y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.

Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.

The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.

The third equation z = 3y can be written as z = 3(22) or z = 66.

Our three numbers are 16, 22, and 66. Hope this helps you!

Solve the trigonometric equation on the interval 0 ≤ θ < 2π. (enter your answers as a comma-separated list.) 2 sin(θ) − 2 = 0

Answers

Final answer:

The solution to the trigonometric equation 2 sin(θ) − 2 = 0 on the interval 0 ≤ θ < 2π is θ = π/2.

Explanation:

The given trigonometric equation is 2 sin(θ) − 2 = 0. To solve this equation, we can isolate the sine function by adding 2 to both sides, resulting in 2 sin(θ) = 2. Then, dividing both sides by 2 gives us sin(θ) = 1. Since we are looking for solutions on the interval 0 ≤ θ < 2π, we know that the sine function is equal to 1 at π/2. Therefore, the solution to the equation is θ = π/2.

please help with below question
find the smallest possible constant C such that x,y,z are all integers

2x+y=C
3y+z=C
x-4z=C

Answers

Hello,

C=23
[tex]\ \left \lbrace \begin{array} {r @{ = } l} 2x+y & C \\ 3y+z & C \\ x-4z & C \end{array}\right\\\\ \ \left \lbrace \begin{array} {r @{ = }l} x & \frac{7}{23}*C \\ y & \frac{9}{23} *C \\ z & \frac{7}{23}* C \end{array}\right\\\\ [/tex]

2x + y = C [1]
3y + z = C [2]
x - 4z = C [3]

PART 1:
Rearrange [3] like so, to get an expression for x:
x = 4z + C
Sub' expression equivalent to x into [1] and rearrange to get an expression for C:
2(4z + C) + y = C
8z + 2C + y = C
8z + C + y = 0
C = -8z - y [4]
This equation will be useful later on so I will let it be [4]

PART 2:
We will also need this rearrangement (can be found by rearranging [4]):
8z + C = -y
We need to take out x from the left side like so:
x = 4z + C
So:
8z + C = x + 4z
And so:
-y = 4z + x
y = -4z - x [5]
This one is also essential so I will let it be [5]

PART 3:
Sub' expression for C from [4] into [2] and rearrange to get an expression for z like so:
-8z - y = 3y + z
9z = -4y
z = -4y/9 [6]

PART 4:
Sub' expression for y from [5] into [2] and simplify like so:
3(-4z - x) + z = C
-12z - 3x + z = C
-11z - 3x = C

PART 5:
Now, sub' in expression for C from [3] into the equation just above and rearrange to express in terms of z:
-11z - 3x = x - 4z
7z = -4x
z = -4/7x [7]

PART 6:
Sub' in expression for z from [6] into [7] and simplify:
-4/7x = -4/9y
-36x = -28y
-9x = -7y
9x = 7y

From the equation just above; we know 9 and 7 must both multiply by two integers to give the same number;
In order to find the two integers (x and y), we first need to find the LCM (lowest common multiple) of the two so:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, ...
63 is a the LCM, none of the multiples of 9 are also multiples of 7;
All we have to do know is set 9x and 7y equal to 63 and solve for x and y:

9x = 63
x = 7

7y = 63
y = 9

PART 7:
Now, to get z, we just sub' y = 9 or x = 7 into equations [6] and [7] respectively;
It is good practice to double check answers when you can so I would sub' both y = 9 and x = 7 into their respective equations to see if I get the same value (you should get the same value as equations [6] and [7] are both equivalent to z) and hence confirm whether my working is correct;
So:
z = -4/9y
z = -4/9(9)
z = -4

z =-4/7x
z = -4/7(7)
z = -4

As you can, see z = -4 regardless of whether I used the x in the x equation or the y in the y equation.

So, the values of x, y and z are:
x = 7
y = 9
z = -4
And the value of C, therefore, is 23

PART 8:
You should always check your values as I mentioned before so lets do that:
For [1]:
2(7) + 9 = 23
For [2]:
3(9) - 4 = 23
For [3]:
7 - 4(-4) = 23

As you can see, the integer values of x, y and z that I have found can all be subbed in to any of the equations in their respective variables and you will get the same number, 23.
I am quite sure this is the smallest value of C you would find as I did use the lowest common multiple and so I would expect I did get the smallest possible C value.

If (x)=x/2-2 and g(x)=2x2+x-3, find (f+g)(x)

Answers

(f+g)(x)=f(x)+g(x)=
[tex]\frac{x}{2}-2+2x^2+x-3=2x^2+\frac{2}{2}x+\frac{1}{2}x-2-3=[/tex]
[tex]2x^2+\frac{3}{2}x-5[/tex]

[tex](f+g)(x)=2x^2+\frac{3}{2}x-5[/tex]

wildlife protection groups buld bat houses to help sve bate one bat house holds about 300 bats larry says 12 bat houses hold about 4500 bats do you agree

Answers

No, I do not agree.

one bat hous holds about 3000 bats => 300 bats / house

So, to estimate the number of bats holded by 12 bat houses do>

300 bat / house * 12 house = 3600 bats

That is very far from the 4500 bats that Larry says.

Does this table represent a function?

Answers

it d because one x-value correspond two different y-values

State the ratio of 700 participants to 28 judges

Answers

700 : 28 are both divisible by 7 AND 4, so it would be (25 : 1)

In your own words explain how to round 9660 to the nearest thousand

Answers

9660 rounded to the nearest thousand.

first, find the number in the thousands place. It is the 9. Now look to the number directly to the right of it.
** if that number is 5 or above, u round the 9 up to 10.
** if that number is 4 or below, that 9 stays the same.

that number directly to the right of 9 is 6. It is above 5, therefore, u round the 9 up to a 10.

so 9660 rounded to the nearest thousand is 10,000. Because , after all, 9660 is closer to 10,000 then it is to 9000.

Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
Megan solved a similar equation below. Is Megan's solution correct? Explain why or why not.
3(2x − 4) = 5x − 1
6x − 12 = 5x − 1
11x − 12 = –1
11x = 11
x = 1

can someone do it step by step?

Answers

When you use the Distributive Property, we will find...
5x - 4 = -6x - 4
Eliminate 4 by adding it to both sides.
5x = -6x
Add 6x to both sides and we get 11x = 0.
11x = 0
Divide both sides by 11.

x=0

The only mistake Megan made was when adding 5x with Megan accidentally subtracting 5x from the other side.

For this problem:
3(2x − 4) = 5x − 1
Distribute
6x - 12 = 5x - 1
Add 1 to both sides
6x - 11 = 5x
Subtract 6x from both sides
-11 = -x
Divide both sides by -1.
x = 11.

Hope this helps! Like this answer? Give it a Brainiest reward if so.

Problem one: 5x - 4 = -2(3x + 2)
Use the distributive property to calculate what's in the parentheses
5x - 4 = -6x - 4
Add 4 to both sides
5x = -6x
(From here you can say x = 0 but here's a few final steps if you want)
Add 6 x to both sides
11x = 0
Divide both sides by 11
X=0
---------------------------------------------
Problem 2: Megan's solution

Megan correctly distributed the parentheses in her first step
Megan errored when she ADDED 5x to the left side but SUBTRACTED 5x from the right side in her third line
From that error she correctly finished the problem, but due to her error she got the wrong answer
The correct answer is x=11

Problem Page Round 84,548 to the nearest thousand.

Answers

85,000 will be your answer

hope this helps

if you round it to the nearest thousand it becomes 85000

What is the value of 0 in 601,199

Answers

The value of 0 in 601,199 would either be 00,000 or since its in the ten thousandths place it would be
10,000.

Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
Help on this, please?

Answers

To solve this problem, we are going to use trial and error.

If the 2 numbers are 3 and 4 then 3 and 4 is 12 and 3 + 4 = 7 which cannot be divided equally, so this is not the answer.

3 and 5 = 15 but this is not divisible by 2.

6 and 3 = 18 and 6 + 3 = 9 which is 1/2 of 18

therefore, one set is 6 and 3.

If R is the midpoint of QS, QR= 8x-51 and RS=3x-6, find QS.

Answers

QS = 11x - 57

since r is the midpoint, QR + RS = QS

Answer: The required length of QS is 42 units.

Step-by-step explanation: Given that R is the midpoint of QS, where

[tex]QS=8x-51,~~RS=3x-6.[/tex]

We are to find the length of QS.

Since R is the midpoint of the segment QS, so we must have

[tex]QR=RS\\\\\Rightarrow 8x-51=3x-6\\\\\Rightarrow 8x-3x=51-6\\\\\Rightarrow 5x=45\\\\\Rightarrow x=\dfrac{45}{5}\\\\\Rightarrow x=9.[/tex]

Therefore, the length of QS is given by

[tex]QS\\\\=QR+RS\\\\=8x-51+3x-6\\\\=11x-57\\\\=11\times9-57\\\\=99-57\\\\=42.[/tex]

Thus, the required length of QS is 42 units.

What multiplies to 14 and adds to -15?

Answers

This would be -14 and -1 (I'm assuming you're trying to factor a quadratic equation).

Check:
-14*-1=14
-14-1=-15

The difference between 29 and a number

Answers

The word "difference" means subtract (-)

29 equals 29

A number equals w

So, your answer would be: 29 - w

How many pair of socks a person has to take out from the drawer to be sure to have at least 4 pairs of blue socks?

Answers

I suspect you have more info than you have shared here. How many pair of socks, total, are in that drawer, and of what colors are they?

Add 1/7+7/10 as a fraction in simplest form

Answers

1/7 = 10/70 ; 7/10 = 49/70

10/70 + 49/70 = 59/70

59/70 is your answer.

First, we need to find the least common denominator in order to add these fractions together. The lowest common denominator is 70.

[tex]\frac{10}{70}[/tex] + [tex]\frac{49}{70}[/tex] = [tex]\frac{59}{70}[/tex]

The ratio of a number and 6 written as an algebraic expression is

Answers

The answer to your question is:
x/6

The required algebraic expression is x / 6.

Given that,
In the question, was asked to determine the ratio of the number 6 in the form of algebraic expression.

What is an algebraic expression?

The algebraic expression consists of constant and variable. eg x, y, z, etc.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Let the number be x,
The ratio of numbers x and 6,
= x / 6
Here above expression is an algebraic expression, because the x is a variable in the equation.

Learn more about algebraic expression here:

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The perimeter of a trapezoid is 39 – 7. Three sides have the following
lengths: 9, 5 + 1, and 17 – 6.
What is the length of the fourth side?

Answers

39-7 = 32
9, 6, 11 are your other sides

9 + 6 + 11 = 26

32 - 26 = the fourth side

the fourth side = 6

hope this helps

Alisa says it is easier to compare the numbers in Set A (45,760 and 1,025,680) than the numbers in Set B (492,111 and 409,867). What is one way you could construct an argument justifying whether Alisa's conjecture is true?

Answers

To construct the argument, one could look at the value of the largest digit. In Set A, the largest-valued digit (1) has a value of one million, while the 4 in the other value is only valued at 40,000. Set B has two 4 values that are both worth 400,000, which will end up requiring a second comparison to tease out the larger value.

Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to tip at 20%, what should she pay if she doesn’t want to leave pennies on the table?

Answers

The Tip will be $5.30
So the total she’ll pay is $31.80

Find the zeros of the function
f(x)=2x^2-4x-2.9 to the nearest hundredth

Answers

For this you have to use the quadratic formula, do you know it?

q(a+y)=67y+93 help me answer this

Answers

The answer your looking for is q-67

Item 10 A restaurant earns $1240 on Friday and $921 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.

Answers

Let the restaurant need to earn x dollars on Sunday, to average 1000$/day .

The average earning over the 3 days is [tex] \frac{1240+921+x}{3}= \frac{2161+x}{3} [/tex] dollars.

we equalize this expression to $1000:

[tex]\frac{2161+x}{3} =1000\\\\ 2161+x=3000\\\\x=3000-2161\\\\x=839[/tex] dollars

Thus the equation is : [tex]\frac{1240+921+x}{3}(\$/day)=1000(\$/day) [/tex]

In 448,244, how is the relationship between the first pair of 4's the same as the relationship between the second pair of 4's?

Answers

They are all whole numbers , Judy in different spaces and positions

Final answer:

The similar relationship between the two pairs of '4's in the number 448,244 is based on their order of magnitude or place value each pair differing by one order of magnitude.

Explanation:

In the number 448,244, the relationship between the first pair of 4's is the same as the relationship between the second pair of 4's in terms of their place value or order of magnitude.

The first '4' is in the hundred thousands place and the second '4' is in the ten thousands place, a difference of one order of magnitude (105 vs 104). Similarly, the third '4' is in the hundreds place and the second '4' is in the units place, also a difference of one order of magnitude (102 vs 100). So, despite the fact they are located in different parts of the number, the relationship between each pair of '4's is consistent based on their order of magnitude.

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A school party visit the gift shop. They all want to buy a badge. Your friend needs to get 37 badges from the stock room. The badges come in packs of 10. How many packs does she need?

Answers

She needs 4 packs and she will then have a spare 3

Answer:

She will need 4 packs.

Step-by-step explanation:

The badges come in packs of 10 but this person only needs 37 badges.

If she buys two packs, she will get 20 badges.

If she buys three packs, she will get 30 badges.

Is she buys four packs, she will get 40 badges.

She will need four packs so she can have 37 badges and there will be 3 remaining badges.

Currently, the area of Oak Park is represented by (9x2 + 6x + 9). The city will be expanding the park this summer. The area of the expansion is represented by 8x − 7. Which polynomial expression represents the total area of Oak Park after the expansion?

Answers

(9x2 + 6x + 9)+8x − 7=total area of oak park after the expansion.

Answer:

9x2 + 14x + 2

Step-by-step explanation:

Combine like terms

(9x2 + 6x + 9) + (8x −7)

9x2 + 14x + 2

What number is greater 87 or 13.688?

Answers

87 is greater of course

87, if it's easier to see, you can round 13.688 and get 14. 87 > 14

Whats 12 divided by 3 1/2

Answers

3 1/2 = 7/2

12 / 7/2 = 12*2 =24/7 = 3 3/7

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