If we know that p → q is true and p is true, what do we know about q?

a. q is false
b. q is true
c. q must be negated
d. q could be either true or false

Answers

Answer 1
It will be true it will be false if p or q is fals
Answer 2

Answer:

B

Step-by-step explanation:

If p and q are both true, then p→q is true.

If p is true, q is false, then p→q is false.

If p is false, q is true, then p→q is true.

If p and q are both false, then p→q is true.

So if you know that p→q and p are both true, then q must be true (because if q is false, then p→q must be false).  


Related Questions

what is the volume of a cyclinder with radius 4 and height 13

Answers

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

It took 5 people to clean a classroom in 4 hours. How long would it take 4 people? Please help

Answers

Answer:

3 hours

Step-by-step explanation:

Reduce the fraction to lowest terms m^2/m^2-n^2

Answers

Answer:

[tex]\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}[/tex]

Step-by-step explanation:

Factor [tex]\bold{m^2-n^2}[/tex]

[tex]\bold{\left(m+n\right)\left(m-n\right)}[/tex]

Rewrite Equation

[tex]\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}[/tex]

Answer:

[tex]\frac{m^2}{(m+n)(m-n)}[/tex]

Step-by-step explanation:

Here we have to simplify the denominator of the expression given in the question.

We will use the formula for

Difference of the squares which us given as under

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

Let us now simplify the denominator

[tex]m^2-n^2=(m+n)(m-n)[/tex]

Hence

Our answer is

[tex]\frac{m^2}{(m+n)(m-n)}[/tex]

A new pencil was 18 cm long. Now it measures 12.7 cm. How many centimeters of the pencil have been used?

Answers

18-12.7, 5.3 centimeters have been used

Answer- 5.3 cm

Step-by-step explanation:

18-12.7

Help! its division pretty easy now do it!

Solve the following:
8,106 ÷ 114
A) 71 R12
B) 75 R67
C) 82 R26
D) 87 R43

Answers

The answer is A) 71 R12

The answer would be A) 71 R12

Which of the following is an arithmetic sequence?

Answers

Answer:

0,2,4,6

Step-by-step explanation:

This sequence is arithmetic because the same number is being added each time: 2. With the others, the number being added changes every time.

ANSWER

[tex]0,2,4,6,8,...[/tex]

EXPLANATION

An arithmetic has a constant difference .

We check to see which of the given sequences has a constant difference.

0,2,4,6,8,... has a constant difference of

[tex]d=2-0=4-2=6-4=8-6=2[/tex]

hence it is an arithmetic sequence.

1,2,4,8,... is not an arithmetic sequence because there is no constant difference.

[tex]2-1 \ne4-2.[/tex]

1,4,8,13,... is also not an arithmetic sequence because there no constant difference.

[tex]4 - 1 \ne8 - 4[/tex]

The first option is correct.

Which linear equation describes the line passing through point (10,3) and has a y-intercept at (0,-1)?

Answers

Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:

C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]

The image shows a trapezoid ABCD that has been dilated to form a trapezoid A'B'C'D'. We need to determine which rule represents the dilation applied to trapezoid ABCD to create A'B'C'D'.

To find the rule, we can follow these steps:

1. Choose a Corresponding Point: Pick a point from the original figure and its corresponding point in the dilated figure.

2. Calculate Scale Factor: Determine the scale factor by comparing the distances of the chosen points from the origin.

3. Formulate the Rule: The rule for dilation with respect to the origin is given by [tex]\( (x, y) \to (kx, ky) \)[/tex], where [tex]\( k \)[/tex] is the scale factor.

Looking at the grid in the image:

- Point B has coordinates (-2, -3).

- Point B' has coordinates (-4, -6).

The coordinates of B' are exactly double those of B, indicating that every coordinate is scaled by a factor of 2. This fits the dilation rule of [tex]\( (x, y) \to (2x, 2y) \).[/tex]

Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:

C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]

This means the rule for the dilation is to multiply both the x and y coordinates by 2, which is the scale factor for the dilation.

the owner of an appliance store brought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?​

Answers

Number of washers: 15
Price of a washer: $279
Total Price of 15 washers:-
15 x $279 = $4185

Number of dryers: 18
Price of a dryer: $229
Total Price of 18 washers:-
18 x $229 = $4122

Total Spend:-
$4185 + $4122 = $8307

Trigonometry please help #2 ASAP

Answers

1.  cos (angle) = adjacent leg / hypotenuse

cos(50) = 10/X

x = 10/cos(50)

x = 15.6 feet  

2.

tan(angle) = Opposite leg / adjacent leg

tan(5.5) = 600/x

x = 600/tan(5.5)

x = 6,231.2 feet.

Is this graph a parabola? Plz someone help!! 20pts

Answers

Answer:

Yes the graph is a parabola

Step-by-step explanation:

In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. The trajectory of a projectile always shows parabolic path. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.

frank is a time-share brokers. his earnings are based on a graduated commission. he receives 3% on any time-share sale up to $10,000 and 5% for any amount over the $10,000. last saturday he sold a time-share for $10,500. how much did he make selling the time-share?

Answers

Answer:

$325

Step-by-step explanation:

Time-share = $10 500

On first $10 000 ,

Commission at 3 % = 0.03 × 10 000 = $300

On remaining $500,

Commission at 5 % = 0.05 ×      500 =    25

                             Total commission = $325

Frank made $325 selling the time-share.

Given that y varies directly with x and that y = 60 when x = 20, find y when x = 12.

Answers

1.y varies directly with x

2.substitute the value of x and y in the equation below

y=kx

where k is the constant term

60=20k

k=60\20

k=30

:y=30x.....is the law

To find y when x is 12

You reinstate the law which is y=30x

Then substitutes the value of x to determine y

y=30*12

y=36.

What graph are present a proportional relationship I ready

Answers

Answer: The second one

Step-by-step explanation:it's the second one because the line goes strait through the orign

Ann, Jim, and Miguel sent a total of 115
text messages during the weekend. Jim sent 10
more messages than Ann. Miguel sent 3
times as many messages as Ann. How many messages did they each send?

Answers

Ann sent a total of 21 texts.

Jim sent a total of 31 texts.

Miguel sent a total of 63 texts.

A line has a rise of 6 and a slope of . What is the run? 30 90 120

Answers

Answer:

There's not enough information here to complete this problem.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

i got it right i took the lesson

A cylindrical oil drum has a diameter of 2 feet and a height of 3 feet. What is the volume of the oil drum?

Answers

Final answer:

The volume of the cylindrical oil drum is 9.426 cubic feet.

Explanation:

The volume of a cylindrical oil drum can be calculated using the formula V = πr²h, where r is the radius of the drum and h is the height. In this case, the diameter of the drum is given as 2 feet, so the radius is 1 foot (since the radius is half the diameter). The height of the drum is given as 3 feet. Therefore, the volume of the oil drum can be calculated as follows:

V = 3.142 × (1 foot)² × 3 feet

Calculating this, we get:

V = 3.142 × 1 foot × 1 foot × 3 feet = 9.426 cubic feet

So, the volume of the oil drum is 9.426 cubic feet.

Is that right?


7x3=21

21+5=26

Answers

Answer:

yes

Step-by-step explanation:

the correct answer is 2 after rounding it off to the nearest number

Help me please assap

Answers

Answer:  G

Step-by-step explanation:

(x, y) → ([tex]\frac{1}{8}x[/tex], [tex]\frac{1}{8}y[/tex])

means that the new quadrilateral will be [tex]\frac{1}{8}[/tex] the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.

625 / 2500 simplified?​

Answers

Answer:1/4

Step-by-step explanation:

- Divide the numerator and the denominator by 625

- Divide the numbers

- YOUR FINAL ANSWER

Hope I was able to satisfy your needs

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{625}{2500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{125}{500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{25}{100}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{5}{20}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{1}{4}[/tex]

or

divide [tex]\frac{625}{2500}[/tex] by 625 numerator and denominator and get the same answer, [tex]\frac{1}{4}[/tex]

the slash[ / ]means to divide

plz give a brainliestttt

Jesse uses this expression to determine how much to pay, including tax and tip, when he goes out to a restaurant:
x(1 + 0.0825 + 0.18).

Part A
Identify the two factors of the expression.

Answers

Answer:

x is the price of the meal

(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.

Step-by-step explanation:

The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.

Simplify (−2)∙(2a−b)+3(a+b) PLz and Thanks

Answers

Answer:

-a+5b

Step-by-step explanation:

(-2)x(2a-b)+3(a+b)

Multiply

Remove Parenthesis

-2(2a-b)+3a+3b

Multiply parenthesis by -2

-4a+2b+3a+3b

collect like terms

-a+5b

he midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5). Find the coordinates of point B.

Answers

Answer:

B: (9, 1)

Step-by-step explanation:

The mid point is (5, 3).  Compare the x and y values to point A: (1,5)  

We can see that the 'x' coordinate is 4 units higher than point A, so the x value for point B will be 4 points higher than the x value of the mid point.  

             5 + 4 = 9

We can see that the 'y' coordinate is 2 units less than point A, so the y value for point B will be 2 points less than the y value of the  mid point.  

            3 - 2 = 1

Answer:

B coordinate is  ( 9 ,1).

Step-by-step explanation:

Given  : The midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5).

To find : Find the coordinates of point B.

Solution : We have given

Midpoint of segment AB = (5, 3).

The coordinates of point A =  (1, 5).

Mid point : [tex]\frac{(x_{1}+x_{2}}{2} ,\frac{(y_{1}+y_{2}}{2})[/tex].

On plugging the values.

(5,3) = [tex]+\frac{1+x_{2}}{2} ,\frac{(5+y_{2}}{2})[/tex].

Now on comparing x coordinates

[tex](\frac{(1+x_{2}}{2})[/tex] = 5

On multiplying both number by 2

1 +[tex]x_{2}[/tex] = 10.

On subtracting both sides by 1.

[tex]x_{2}[/tex] = 9

Now on comparing y coordinates

[tex]\frac{(5+y_{2}}{2})[/tex] = 3

On multiplying both number by 2

5 +[tex]y_{2}[/tex] = 6

On subtracting both sides by 5.

[tex]y_{2}[/tex] = 1

Then B coordinate is  ( 9 ,1).

Therefore,  B coordinate is  ( 9 ,1).

Therefore, B coordinate is  ( 9 ,1).

Find the lateral surface area of the prism

Answers

Answe

255=222-22209/33

=6868

The lateral surface area of the prism with dimensions 4 ft, 3 ft, and 1.5 ft is 21 square feet.

To find the lateral surface area of a prism, you need to add the areas of all the lateral faces of the prism.

For a rectangular prism, the lateral surface area can be calculated by finding the perimeter of the base and multiplying it by the height of the prism.

In this case, with dimensions of 4 ft, 3 ft, and 1.5 ft for the rectangular prism:

Calculate the perimeter of the base: Perimeter = 2(length + width)

Perimeter = 2(4 ft + 3 ft) = 2(7 ft) = 14 ft

Then, multiply the perimeter by the height of the prism to get the lateral surface area:

Lateral Surface Area = Perimeter x Height

Lateral Surface Area = 14 ft x 1.5 ft = 21 square feet

The complete question is: Find the lateral surface area of the prism

Find the constant of variation k for the direct variation. 4x = -6(y)

Answers

Answer: [tex]k=-\frac{2}{3}[/tex]

Step-by-step explanation:

By definition, a direct varition is expressed as following:

[tex]y=kx[/tex]

 Then, y is directly proportional to x and k is the constant of variation.

Therefore, given the direct variation:

[tex]4x=-6y[/tex]

You must solve for the variable y as you can see below:

[tex]4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x[/tex]

Therefore, as you can see,  the constant of variation is the following:

[tex]k=-\frac{2}{3}[/tex]

Which equation represents a linear function?

Answers

Answer:

Option D) [tex]y=-3x+10[/tex]

Step-by-step explanation:

General form of linear function : [tex]y=mx+c[/tex]

Option A ) [tex]y=\frac{16}{x}[/tex]

Since this function cannot be represented as general form of linear function.

Thus it is not a linear function.

Option B)[tex]y=3x^2-1[/tex]

It is a quadratic function .

Option C) [tex]x=3[/tex]

Since this function cannot be represented as general form of linear function.

Thus it is not a linear function.

Option D) [tex]y=-3x+10[/tex]

Since it is represented in the general form of linear function.

So,  [tex]y=-3x+10[/tex] is a linear function.

Final answer:

A linear function is represented by an equation of the form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. It is called linear because its graph forms a straight line.

Explanation:

In mathematics, a linear function is a function that has a graph in the shape of a straight line. This means it follows a consistent rate of change, often represented by the slope of the line (known as 'm' in an equation). An example of an equation that represents a linear function is:

y = mx + b

Where:

'y' is the dependent variable, 'm' is the slope of the line, 'x' is the independent variable, and 'b' is the y-intercept.

Learn more about Linear function here:

https://brainly.com/question/31353350

#SPJ12

Need Help ASAP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Area = 52 cm2

Step-by-step explanation:

First you have to extend the line. It gave you two rectangles.

To find out the area you have to add this two surfaces.

A1 = 2*10 = 20

A2 = 8*4 = 32

Whole area = A1 + A2 = 20 + 32 = 52 square cm.

You can do this other way around and you get the same answer.

First you have to extend the line. It gave you two rectangles.

To find out the area you have to add this two surfaces.

A1 = 4*10 = 40

A2 = 2*6 = 12

Whole area = A1 + A2 = 40 + 12 = 52 square cm.

What is the probability of the outcome (not A)? a. 0.3 c. 0.8 b. 0.5 d. 0.15

Answers

Answer: b. 0.5

Step-by-step explanation:

We area given that the probability of outcomes A = 0.5

We know that for any event Q the probability of not getting Q is given by :-

[tex]P(Q)'=1-P(Q)[/tex]

Now, the probability of getting outcomes not A is given by :-

[tex]P(A)'=1-P(A)\\\\\Rightarrow\ P(A)' =1-0.5\\\\\Rightarrow\ P(A)' =0.5[/tex]

Hence option B is correct.

NEED HELP ASAPP!!!!!!!!!!!!!!!!

Answers

The answers might be B and C.

Answer:

B and C

Step-by-step explanation:

B has 4 equal parts easy. C is a more reasonable answer because a has NO equal parts.

Write an inequality for the given graph.

Answers

Answer:

[tex]y<0.5x-3[/tex]

Step-by-step explanation:

Find the equation of the dashed line

The line pass through the points

[tex]A(0,-3)[/tex] -----> is the y-intercept of the line

[tex]B(6,0)[/tex]

Find the slope of the line m

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{0+3}{6-0}=0.5[/tex]

Remember that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=0.5[/tex]

[tex]b=-3[/tex]  

substitute

[tex]y=0.5x-3[/tex]

Find the inequality

we know that

The solution of the inequality is the shaded area below the dashed line

so

[tex]y<0.5x-3[/tex]

may somebody help me please.

Answers

Answer:

(4,-6)

Step-by-step explanation:

4x+y = 10

We know y = -6

Substitute it in

4x -6 = 10

Add 6 to each side

4x-6+6 = 10+6

4x =16

Divide by 4

4x/4 = 16/4

x =4

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