What is the gradient of the graph shown?
Give your answer in its simplest form.

a. The conditional statement p → q is true

b. The converse q → p is False.

c. The inverse p → ~q is False

d. The contrapositive -q→ ~p is True

We are given the conditional statement;

Let p be "an animal is a puppy" and let q be "it is a dog."

a) The conditional statement p → q which is "If an animal is a puppy, then it is a dog" is true.

b) The converse statement q → p which is "If an animal is a dog, then it is a puppy" is false.

c) The inverse statement p → ~q which is "If an animal is not a puppy, then it is not a dog" is false.

d) The contrapositive statement: q → ~p which is  "If an animal is not a dog, then it is not a puppy" is true.

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2  is the value of invar in the base workspace after executing.

What are variables?

What three categories of variables are there?

Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable. Independent, dependent, and controlled variables are typically present in an experiment.

invar = 1;

out1 = plusone(invar);

= 2

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Mel should make 12 bracelets.

Here, we are given that Mel makes arm bracelets.

She is making a bracelet for each arm of her 6 friends.

We know that a humans by default have 2 arms each.

We will assume that all of her 6 friends have 2 arms each.

Thus, 6 of her friends will get 2 bracelets each, one for each arm.

This means that the total number of bracelets Mel should make will be given by-

2 + 2 + 2 + 2 + 2 + 2

or we can also write this as

2 × 6

6 times 2 is equal to 12.

Thus, Mel should make 12 bracelets.

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complete the table above or below as appropriate of segun corresponda.

Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%

1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.

2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).

3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)

4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).

5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).

6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.

y tres)

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Answer:

64 Feet.

Step-by-step explanation:

First find the expression that describes the distance at t seconds. Which will be 16t^2

Now the distance is t=2.

So...

=16t^2

=16(2)^2

=64.

1) The solution to the given quadratic equation is; x = ¹/₂(3 ± 3√2)

2) The solution to the given quadratic equation is; x = 5/6 or -2

1)  (2x - 3)² = 18

To fid the value of x, we can solve by first taking the square root of both sides to get;

√(2x - 3)² = ±√18

Add 3 to both sides using addition property of equality to get;

2x - 3 = ±3√2

2x = 3 ± 3√2

x = ¹/₂(3 ± 3√2)

2) 2(5x + 2)² = 64

To fid the value of x, we can solve by first  dividing both sides to get;

(5x + 2)² = 32

Take square root of both sides to get;

(5x + 2) = ±8

Subtract 2 from both sides using subtraction property of equality to get;

5x + 2 = ±8

5x = ±8 - 2

5x = 6 or 5x = -10

x = 5/6 or -2

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Answer:

43

Step-by-step explanation:

Answer:

D, F and G

Step-by-step explanation:

A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C

Also no fractional exponents so eliminate E

F & G are positive exponents so acceptable

D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.

Answer:

1/7

Step-by-step explanation:

You can just divide all the possible answers.

1/9 = 0.1111111 (1 repeating

1/7 = 0.142857142857

1/11 = 0.090909090909 (repeating)

1/14 = 0.0714285714286 (repeating)

After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.

Here,

Samuya is multiplying 0.7 by 0.003.

We have to find, zeros will be to the right of the decimal point in the product.

What is Product?

The product of two numbers is the result you get when you multiply them together.

Now,

Product of 0.7 and 0.003 we get;

0.7 x 0.003 = 0.0021

Clearly, there are two zero to the right of the decimal point in the product.

So, After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.

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Answer:

-20, -18

Step-by-step explanation:

let x = the smaller number

Let x + 2 = the larger number

3(x +2) -26 = 4x

3x + 6 -26 = 4x

3x -20 = 4x  Subtract 3x from both sides of the equation

-20 = x

x + 2

-20 + 2 = -18

Check:

3(-20 + 2) -26=  4(-20)

3(-18) - 26 = -80

-54 -26 = -80

-80 = -80

Answer:

63,756 ft / 70 min

Answer: y = 8

Step-by-step explanation:

      Point-slope form is written as y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ([tex]x_1[/tex] , [tex]y_1[/tex]) are points on the line.

      First, we need to find the slope. This can be found with change in y over change in x:

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\displaystyle \frac{8-8}{-4--4}=\frac{0}{-4+4}=\frac{0}{0}=[/tex] undefined

      Now, we will plug this undefined slope (0) into the equation below. Anything times 0 is 0, so no matter what (x - [tex]x_1[/tex]) is, the right side of the equation will always be 0.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - [tex]y_1[/tex] = (0)(x - [tex]x_1[/tex]) ➜ y - [tex]y_1[/tex] = 0

      Lastly, we will take the y-value of 8 and plug it into the equation and simplify.

y - [tex]y_1[/tex] = 0 ➜ y - (8) = 0 ➜ + 8 (y - 8) = (0) + 8

      y = 8

See attached for a visual explanation.

Answer:

y=-x-3

Step-by-step explanation:

Write in slope-intercept form, the equation is y=mx+b .

y=−x−3

The property shown in 2 + 0 = 2 is the Identify Property of Addition

The expression is given as:

2 + 0 = 0

The  Identify Property of Addition property states that

a * 0 = a

This means that the property shown is the Identify Property of Addition

Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition

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Answer: 297

Step-by-step explanation:

2a^2 - 2a - 15

sub a = 13

2 * 13^2 - 2 * 13 - 15

2 * 169 - 2 * 13 - 15

338 - 26 - 15

= 297

Answer:

C

Step-by-step explanation:

given the zeros x = a and x = b then the corresponding factors are

(x - a) and (x - b)

then f(x) is the product of these factors

given zeros x = 6 and x = - 4 then the factors are

(x - 6) and (x - (- 4)) , that is (x - 6 and (x + 4) , then

f(x) = (x - 6)(x + 4)

The value of c is 25° and x is 116°.

From figure 1, we can see hat the entire angle is given to be 90°. This angle is divided into 2 parts, one is 65° and the other is c

This means that-

65 + c = 90

c = 90 - 65

c = 25

Thus, the value of c is 25°.

Now, in the 2nd figure, we can see that both the horizontal lines are parallel and a transversal is drawn between them.

Both the angles thus formed are opposite interior angles and are hence supplementary.

Therefore, (x - 20) + 84 = 180

x - 20 = 180 - 84

x - 20 = 96

x = 96 + 20

x = 116

Thus, the value of x is 116°

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So the perimeter of the polygon with vertices U (-2,4) V (3,4) and W (3,-4) is Perimeter = 22.434

Perimeter of any close shape is the total length of the boundary of any closed shape.

We have been given vertices of polygon that are U (-2,4) V (3,4) and W (3,-4)

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

[tex]$d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$[/tex]

side UV:

[tex]$U V=\sqrt{(-2-3)^2+(4-4)^2}=5$[/tex]

side VW:

[tex]$V W=\sqrt{(3-3)^2+(4-(-4))^2}=8$[/tex]

side UW:

[tex]$U W=\sqrt{(-2-3)^2+(4-(-4))^2}=9.434$[/tex]

So the perimeter is:

P=UV+VW+UW

[tex]$P=5+8+9.434=22.434$[/tex]

So the perimeter is: 22.434

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The quotient of the fraction 4/12 ÷ 1/12 is 4.

So, evaluation of 4/12 ÷ 1/12:

Therefore, the quotient of the fraction 4/12 ÷ 1/12 is 4.

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The quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

A linear function is modeled by the following rule:

y = mx + b

In which:

Another feature of linear functions is uniform behavior, as they are either increasing or decreasing over the entire domain, there are no changes from increasing to decreasing.

Heights increase or decrease over the domain, hence they are not linear, while the area of the square is quadratic, as A = s².

One hour has 3600 seconds, hence the number of seconds in a number of hours is modeled by the following linear function:

S(h) = 3600h.

Hence the quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

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Answer:

it can be reduce by turning into a mixed number.

Answer:

horizontal shift 5 units left

Vertical shift 1 unit down

reflection on the x-axis: Reflected

Vertical stretch: stretched

Step-by-step explanation:

The final area of the mixer cover is 1650/7 square cm.

Given that:-

Diameter of circular plywood cover = 20cm

Diameter of circular hole in the middle = 10cm

We have to find the final area of the mixer cover after cutting the hole in the middle.

We can find the radius of the circular cover and the circular hole using their respective diameters.

Hence,

Radius of circular plywood cover = 20/2 = 10 cm

Radius of circular plywood cover = 10/2 = 5 cm

We know that,

Area of circle = [tex]\pi r^2[/tex]

Hence,

Area of circular plywood cover = [tex]\frac{22}{7}*(10)^2 =\frac{2200}{7}[/tex]

Area of circular hole  = [tex]\frac{22}{7}*(5)^2 =\frac{550}{7}[/tex]

Final area = Area of circular plywood cover - Area of circular hole

Final area = (2200/7) - (550/7) = 1650/7 square cm.

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We get the values of m as 1 and n as 0.

We are given a function:

f(x) = m / (x - 1) + n

We are also given that:

f (-2) = 1 and f (4) = 3

We have to find the value of m and n.

f (-2) = m (2 - 1) + n

1 = m + n

n = 1 - m

f (4) = m / (4 - 1) + n

3 = 3 m + n

3 = 3 m + 1 - m

3 = 2 m + 1

2 m = 3 - 1

2 m = 2

m = 2 / 2

m = 1

m + n = 1

1 + n = 1

n = 0.

Therefore, we get the values of m as 1 and n as 0.

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The experimental method has one advantage over the correlational method in that it "determines cause and effect," whereas the correlational study does not.

Quantitative methods are used in both experimental and correlational research to investigate interactions between variables. However, there are significant differences with how data is gathered as well as the conclusions that can be drawn.

Experimental research is scientific research that employs two sets of variables. The first set serves as a constant against which the differences in the second set are measured. Experimentation is used in quantitative research, for example.

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