Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select three options.
If p = a number is negative and g = the additive inverse is positive, the original statement is p - 9.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is p -9.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~g - p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is perq.
Ulf g = a number is negative and p = the additive inverse is positive, the converse of the original statement is 9 - p.

Answer:

Step-by-step explanation:

(4x + 3)(4x+3) is the factor

the third one is the solution

Answer:

100 (+1) x 2^t     = 100 (+2et) as we plus and we multiply before squaring the years.

Step-by-step explanation:

You cna now work this out as +1 represents the 100% + 200% sum.

Answer:

C) [tex] A = 100e^{2t} [/tex]

Step-by-step explanation:

Continuous growth:

[tex] A = Pe^{rt} [/tex]

r = rate as a decimal

r = 200% = 2

P = initial value = 100

[tex] A = 100e^{2t} [/tex]

Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

Answer:

[tex]72.16 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]

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The sum of two rational numbers will always be rational

[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational

Answer:

- 6

Step-by-step explanation:

[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]

Answer:

7/4 x 3/2 x 1/2 = 1 5/16 or 21/16

Step-by-step explanation:

Answer:

it states:  a squared + b squared = c squared ( the hypotenuse)

Step-by-step explanation:

Answer: After 9 years, the ticket will be $13.79

Answer:

$13.79

Step-by-step explanation:

FV = PV(1+r/100)^9

A =7.50 (1+ [7/100]) ^9

A = $13.79 per ticket

Answer:

C) 32.6%

Step-by-step explanation:

Given:

Total number of cards = 52

3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.

To win the next card drawn must be greater than the highest card already drawn.

Required:

Find the probability of winning

Here, the highest card already drawn is 9 of spades or 9 of hearts.

The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.

Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).

Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]

Convert to percentage:

0.326 * 100 = 32.6%

Given:

4(2 + a)= 24

Use Distributive Property:

8 + 4a = 24

Subtract 8 to both sides:

4a = 16

Divide 4 to both sides:

a = 4

Answer:

A = 4

Step-by-step explanation:

Assuming the question is asking what a is, then all you have to do is follow a few steps to get the right answer.

1) Use the distributive property to simplify the first part of the equation.

4(2+a) distribute the 4 to what is within the parenthesis, so multiply 4 to what is in the parenthesis. P.S: This also gets rid of the parenthesis.

(8 + 4a)

2) Now your equation looks like 8 + 4a = 24. Now, use inverse operations to isolate a. Inverse operations are basically using the opposite signs and processes to get some parts of an equation to another side.

2a. Subtract 8 from both sides of the equation:

8 + 4a - 8 = 24 - 8.

So now you have 4a = 16.

2b. Divide 4 from both sides of the equation.

4a/4 = 16/4

So now you have a = 4.

Final answer:

A = 4

Answer:

35.06

Step-by-step explanation:

So you  have to multiply 27.50 by 0.075 to find the sales tax.

2.0625 ≈ 2.06

If the tip is off the original price, you multiply 27.50 by 0.2.

5.5

The whole meal is 27.50 + 5.50 + 2.06 = 35.06

Total cost of meal is $35.06.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

The bill amount = $27.50

tax amount = 7.5%

tip amount = 20%

Now 7.5 % of bill amount

=  27.50x 7.5/100

=  27.50 x 0.075

=2.0625

≈ 2.06

Now 20% of bill amount is

= 27.50 x 20/100

= 27.50x0.2

= 5.5

Now,

The total cost

=  27.50 + 5.50 + 2.06

= 35.06

Hence $35.06 is the total cost.

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Answer:

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

because Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number.

Answer:

(0,-2) and (1,1)

Hope this helps :)

Answer: (0,-2) & (1,1)

Step-by-step explanation:

correct answers ✅

Answer:

work is shown and pictured

Answer:

1.41

Step-by-step explanation:

You add 0.54 by 0.87

Answer:

One leg - 15 inches

Second leg - 36 inches.

Step-by-step explanation:

One leg - x inches.

Second leg - (x + 21) inches.

Hypotenuse - 39 inches.

Using Pythagorean theorem

x² + (x + 21)² = 39²

x² + x² + 2*21x  + 21² = 39²

2x² + 42x - 39² + 21² = 0

2x² + 42x - 1080 = 0

x² + 21x - 540 = 0

(x - 15)(x + 36) = 0

x = 15, x = - 36

We can use only positive value.

One leg - x inches = 15 inches

Second leg - (x + 21) inches = 15+21=36 inches.

Answer:

D. -2/3

Step-by-step explanation:

A rational number can be shown with a fraction and that's the only fraction in the answer choices

Answer:

[tex]=8x^2+8x+11y[/tex]

Step-by-step explanation:

[tex]\left(3x^2+10x+5y\right)-\left(-5x^2+2x-6y\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x^2+10x+5y-\left(-5x^2+2x-6y\right)\\=3x^2+10x+5y+5x^2-2x+6y\\=3x^2+5x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:3x^2+5x^2=8x^2\\=8x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:10x-2x=8x\\=8x^2+8x+5y+6y\\\mathrm{Add\:similar\:elements:}\:5y+6y=11y\\=8x^2+8x+11y\\[/tex]

 b. more groups should have been

Answer:

C AND D

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

The volume of frustum of cone is   [tex]42.75\pi[/tex]

Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

Where,

R = Radius of the bigger circular end

r = radius of the smaller circular end

H = height of frustum

According to the question

Original height of cone = 9 cm

Radius of the bigger circular end = 4.5 cm

Radius of the smaller circular end = 3 cm

Height of frustum = 3 cm

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

                                              = [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]

                                              =  [tex]\pi [ 20.25 + 9 + 13.5][/tex]

                                              = [tex]42.75\pi[/tex]

Hence, The volume of frustum of cone is   [tex]42.75\pi[/tex] .

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Answer:

a. Yes, the evidence supports the hypothesis

Step-by-step explanation:

The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D

Answer:

180 degrees rotation

Step-by-step explanation:

you take the. values of the object and multiply by -1 to obtain the values of the image

Answer:

9

Step-by-step explanation:

its perpendicular so you do the negative reciprical

Answer:

The correct answer is

A. 9

Step-by-step explanation:

Since the line is going up the slope will be positive... That leaves us with 2 options A/B. However the red line is much steeper and therefore has a greater slope so A is the answer.

Hope this helps!

- Quinn <3

Answer: £18

Step-by-step explanation:

let Bridget get £x,

Stephen gets 3x, Richard gets 2(3x)

Equation is x + 3x + 6x = 60

10x = 60: x = 60/40 = 6

Bridget gets £6

Stephen gets 3x = 3 x 6 = £18

Richard gets 2(3x) = 2 x 18 = £36

Answer:

its not very clear can you take a picture again?

Step-by-step explanation:

Answer:

11.6929451 %

Step-by-step explanation:

Take the amount of the tip over the total amount to find the percent left

10.16/86.89 =

.116929451

Multiply by 100 to put in percent form

11.6929451 %

Answer:

approx: 11.693%

Step-by-step explanation:

First divide the tip by the cost:

10.16/86.89

which =

0.11692945103

To get it to a percent we multiply by 100:

0.11692945103x100=

11.692945103

now all we need to do is add the percentage

11.692945103%

And it says approximately so that means round. A good place to round in a number as large as this is the thousandths place, so since the 9 next to the 2 is closer to 10 we make the 2 a 3 to fully complete the rounding.

= 11.693%

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Answer:

D) Communicative Property of Multiplication

Please give brainliest -3-

Answer:

8

Step-by-step explanation: