Let P represent the statement "Mary works at the water park." Let Q represent the statement "Mary takes college classes."
Which symbolic notation represents the statement "Mary works at the water park or takes college classes." ?

A. P ∨ Q
B. P ∧ Q
C. P → Q
D. P ↔ Q

The expression 'x squared minus 9' represents a difference of two squares. It can be factored using the rule a² - b² = (a - b)(a + b), resulting in (x - 3)(x + 3).

The expression x squared minus 9 is a difference of two squares, which can be factored into two binomials. The general rule for factoring a difference of squares is that a² - b² = (a - b)(a + b). Therefore, x² - 9 can be factored as (x - 3)(x + 3). Here, 'x' is the square root of 'x²' and '3' is the square root of '9'. Thus,

x² - 9 = (x - 3)(x + 3).

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The expression 'x squared minus 9' is factored as (x - 3)(x + 3) using the difference of squares rule in algebra.

Factoring the expression x squared minus 9 is an application of a rule in algebra known as the difference of squares. The difference of squares rule states that for any two terms a and b, the difference of their squares can be factored as (a - b)(a + b). Apply this rule to the given expression x squared minus 9

by considering 'x' as 'a' and '3' as 'b' (since 3 squared is 9), we get (x - 3)(x + 3) as the result. So, x squared minus 9 factors into (x - 3)(x + 3).

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Answer:

Step-by-step explanation:

Part One

Number of girls with blonde hair = 6

Total number of students = 40

% = 6/40 * 100% = 15%

Part Two

Number of Red Headed boys = 2

Just read the chart.

Part Three

The Chance that black hair is 4/40 = 0.1 or 1 in 10

Answer:

Four less a number

Step-by-step explanation:

x-4 is literally subtracting 4 and 4 less a number is basically also subtracting 4 from an equation.

Answer:

Step-by-step explanation:

The sentence that represents better the given expression is "The difference of a number and 4".

Mainly because states the difference in the right order, first the unknown number, which is called "a number", and in second place the number 4, referring to the difference is the subtract of 4 units from the number, not in the opposite way.

On the other hand, "a number less than 4" specifies that the unknown number is minor than 4, which is not true. "the sum of a number and 4" is completely wrong, because there's no sum at all. "Four less a number" refers to a difference but in the opposite way 4-x.

Therefore, the right answer is

Answer:

a = ( 5 +/- sqrt(57) )/2

Step-by-step explanation:

Uh...well just multiply by a and move the 4, setting the equation to 0.

a, b, and c are 2, -5, -4

Plug that into the QuadF.

Answer:  [tex]\bold{\dfrac{5\pm \sqrt{57}}{4}}[/tex]

Step-by-step explanation:[tex]2a-5=\dfrac{4}{a}\\\\\text{Multiply by the LCD (a) to clear the denominator:}\\\\\\2a(a)-5(a)=\dfrac{4}{a}(a)\\\\2a^2-5a=4\\\\2a^2-5a-4=0\quad \rightarrow \quad a=2,\ b=-5,\ c=-4\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(2)(-4)}}{2(2)}\\\\\\.\ =\dfrac{5\pm \sqrt{25+32}}{4}\\\\\\.\ =\dfrac{5\pm \sqrt{57}}{4}[/tex]

Answer:

Step-by-step explanation:

If you are making $14.00 in an hour then in 1 day it will be $14.00 × 24 = $336.00 and in 1 month $336.00 × 12 = $4032.00

Answer:

The sample size is not appropriate.

The population isn’t given to be approximately normal.  And for the following question, "A convenience sample of forty people is taken from a population. Which of the following is a reason why you can not make a statistical inference on the population?" The answer is The wrong sampling method was used.

Answer:

Answers are : (1st & 2nd choices)

• The sample size is not appropriate.

• The population isn't given to be approximately normal.

Answer:

Step-by-step explanation:

y=4(2)-7

y=(4)(2)(−7)

Answer:

y=−56

Value of y when x = 2 is 1.

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given equation

y = 4x-7

Value of y when x = 2

Substitute x = 2 in above equation

[tex]y = 4 \times 2 -7[/tex]

[tex]y=8-7[/tex]

y = 1

Value of y when x = 2 is 1.

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ANSWER

[tex](3x - 2)(x + 4)[/tex]

EXPLANATION

The given quadratic trinomial is

[tex]3 {x}^{2} + 10x - 8[/tex]

Comparing to the general quadratic trinomial:

[tex]a{x}^{2} + bx + c[/tex]

We have a=1, b=10 and c=-8

[tex]ac = 3 \times - 8 = - 24[/tex]

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

[tex]3 {x}^{2} + 12x - 2x- 8[/tex]

Factor;

[tex]3x(x+ 4) - 2(x + 4)[/tex]

Factor further;

[tex](3x - 2)(x + 4)[/tex]

The last option is correct.

Final answer:

The correct equation is c=3.5h+15, where c is the total rental cost and h is the number of hours the kayak is rented. The equation includes a fixed fee of $15 and a variable hourly rate of $3.50. The correct answer is option (A).

Explanation:

The equation representing the function for the total cost c, to rent a kayak for h hours, is A. c=3.5h+15. This equation consists of a fixed cost and a variable cost.

The fixed cost, or y-intercept, is the initial $15 fee required to rent the kayak, which is represented when h=0. The variable cost, or slope, is $3.50 per hour of rental, indicating that for each additional hour h, the cost increases by this amount.

Answer:

D) coordinates of its reflection image is ( -3 , 2) .

Step-by-step explanation:

Given : S ( 3 ,2)  If point S is reflected across the y-axis,

To find : what are the coordinates of its reflection image.  

Solution : We have given S ( 3 ,2).

By the reflection rule over y -axis : (x ,y) →→ ( -x , y) .

Then x = 3 , y = 2

Then coordinates of its reflection image is

(3 , 2 ) →→ ( -3 , 2) .

Therefore,  D) coordinates of its reflection image is ( -3 , 2) .

Answer:

30,000 stores

Step-by-step explanation:

setting up a proportion is proably the easiest way to solve this equation..

9/ x = 3%/100%

0.03x = 9(100)

0.03x = 900

/0.03     /0.03

x = 30,000 stores

hope this helps!!

Answer:

8in

Step-by-step explanation:

input (D) which is 7 days to find the height

h(d) = 3/7d +5

h = 3/7(7) + 5

h = 3+5

h=8

Answer:

8in

Step-by-step explanation:

The height of her plant can be expressed by the following function where d represents the number of days the plant has been growing and h(d) Represents the height in inches. h(d)= 3/7d + 5.

Answer:

No

Step-by-step explanation:

No, because think of 9, its not divisible by two and for the second one yes, a perfect square always has a positive and negative

Answer: 18% of 120 is 21.6

And, 12% of 120 is 14.4

* Both of their work is below:)

* Hopefully this helps:)!! Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

Step-by-step explanation:

18% of 120

Convert 18% to a decimal by dividing by 100:

18 / 100 = 0.18

120 * 0.18 = 21.6

12% of 120

Convert 12% to a decimal by dividing by 100:

18 / 100 = 0.12

120 * 0.12 = 14.4

Answer:

$14.21

Step-by-step explanation:

To find 25% of 18.95, you can multiply 18.95×0.25, which approximately equals $4.74. Then subtract $4.74 from $18.95 to get $14.21

Answer:

$14.2125

Step-by-step explanation:

We have been given that the original cost of a lamp is $18.95. The lamp is on sale for 25% off.

Since the lamp is on a 25% sale, then the cost of the lamp would be 75% (100%-25%) of the original price.

[tex]\text{Cost of lamp after sale}=\$18.95\times \frac{75}{100}[/tex]

[tex]\text{Cost of lamp after sale}=\$18.95\times 0.75[/tex]

[tex]\text{Cost of lamp after sale}=\$14.2125[/tex]

Therefore, you will have to pay $14.2125 for the lamp.

Answer: 86

Step-by-step explanation: You would add up all the numbers, then divide by the amount of numbers there are.

For example

79+89+90=258

Since there are three numbers(79,89,90) you would divide 258 by 3 and would get 86.

Hopes this helps

Answer:

Fraction form: x = ln(5)/ln(10)

Decimal form: 0.69897000

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Answer:

1/14

Step-by-step explanation:

There are 9 + 4 + 1 people to choose from. Total = 14

There is a 1/14 probability that she will be choosen.

Answer:1/12

Step-by-step explanation:

Answer:

489 to the nearest foot.

Step-by-step explanation:

y = -2.58x + 566.67

x = 30:

y = -2.58*30 + 566.67

= 489 to nearest foot.

Answer:

A 30 year old driver can see 489.27 feet

Step-by-step explanation:

The equation yˆ=−2.58x+566.67 models the distance a driver can see in feet, where x is the age of the driver in years.

WE need to find out the height when x is 30

Plug in 30 for x  and find out y

y=−2.58x+566.67

Replace x with 30

y=−2.58(30)+566.67 = 489.27

A 30 year old driver can see 489.27 feet

Answer:

[tex]\large\boxed{A.\ (x+6)^2+(y+10)^2=20}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

Substitute:

[tex]x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10[/tex]

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

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

Substitute (-6, -10) and (-8, -6):

[tex]r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}[/tex]

Finally we have

[tex](x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20[/tex]

Answer:

It's A...Just had it but i Chose B but it's A

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

15+8=23

Answer:

7

Step-by-step explanation:

um thats just 15-8

Answer:

A

Step-by-step explanation:

First: C is incorrect. It is using the value of acceleration due to gravity in the metric system.

Second: the 16 must be opposite in sign from the 25. That makes B and D incorrect.

Answer: A

Answer:

17

Step-by-step explanation:

given

2f + 4f + 2 - 3 ← simplify by collecting like terms

= 6f - 1 ← substitute f = 3 into the expression

= (6 × 3) - 1 = 18 - 1 = 17

Answer:

17

2(f) + 4(f) + 2 - 3        |         (f) = 3

2(3) + 4(f) + 2 - 3

(6 +  12) + (2 - 3)

(18) - (1)

Step-by-step explanation:

Answer: 1/81

First you simplify it to 3^-4

Then express it with a positive exponent which goes to 1/3^4

Then evaluate it to 1/81

Answer:  

The expression which is equivalent to the given expression is given by :

[tex]\bf\frac{1}{81}[/tex]

Step-by-step explanation:

The expression is given to be :

[tex](3^{2})^{-2}[/tex]

Now, we need to find a expression which is equivalent to this given expression.

[tex](3^{2})^{-2}\\\\\implies (3\times 3)^{-2}\\\\\implies (9)^{-2}\\\\\implies\frac{1}{(9)^2}\\\\ \implies \frac{1}{81}[/tex]

Hence, The expression which is equivalent to the given expression is given by :

[tex]\bf\frac{1}{81}[/tex]

When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section in geometry.

When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section. This is a key concept in geometry, where the intersection of a plane with a cone results in different types of curves known as conic sections.

Answer:

The value of y = 70°

Step-by-step explanation:

∵ The measure of the major arc = 160 + 60 = 220°

∵ The measure of the circle is 360°

∴ The measure of the minor arc = 360 - 220 = 140°

∵ y is the angle between a chord and a tangent

∵ The chord subtended by the arc of measure 140°

∵ y is subtended by the arc of measure 140°

∵ Angle of tangent subtended by an arc,

  its measure = half the measure of the subtended arc

∴ The measure of y = 1/2 the measure of the subtended arc

∴ y = 1/2 × 140 = 70°

Answer:

70

Step-by-step explanation:

Answer:

Factoring

Step-by-step explanation:

To solve the equation [tex]x ^ 2 + 4x + 3 = 0[/tex], you must apply the factoring method.

You must find two real numbers b and c such that:

[tex]b + c = 4[/tex]

and

[tex]b(c) = 3[/tex]

Then the expression:

[tex]x ^ 2 + 4x + 3 = 0 = (x + b)(x + c)[/tex]

You can prove that:

[tex]b = 3\\c = 1[/tex]

So

[tex]x ^ 2 + 4x + 3 = 0 = (x + 3)(x + 1)[/tex]

[tex](x + 3)(x + 1) = 0[/tex]

[tex]x +3 = 0[/tex] or [tex]x + 1 = 0[/tex]

[tex]x = -3[/tex] or [tex]x = -1[/tex]

X will be -1 and -3!

Answer:

[tex]\frac{21}{8}[/tex]

Step-by-step explanation:

Given: [tex]3\frac{1}{8} - \frac{1}{2}[/tex]

Let's changed that mixed number to an improper fraction. Now we get:

[tex]\frac{25}{8} - \frac{1}{2}[/tex]

Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:

[tex]\frac{25}{8} - \frac{4}{8}[/tex]

We can use [tex]\frac{4}{8}[/tex] because it is equal to [tex]\frac{1}{2}[/tex]. Now, all we need to do is subtract the numerators:

[tex]\frac{25}{8} - \frac{4}{8}=\frac{21}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

We know the measure of ∠CAB.  This is an inscribed angle; this means its measure is 1/2 that of the intercepted arc, BC.  This means the measure of BC is 100°.

This makes the measure of arc BAC is 360-100 = 260°.

The measure of the angle formed by the tangents, since it is outside the circle, will be 1/2 of the difference of the intercepted arcs.  This means the measure of this angle will be

1/2(260-100) = 1/2(160) = 80°

Based on the information given, it should be noted that the angle between the tangents to the circle at points B and C will be 80°.

It should be noted that the angle between the tangents to the circle at points B and C will therefore be calculated thus:

= 1/2(260-100)

= 1/2(160)

= 80°

In conclusion, the correct option is 80°.

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Answer:

The rate of change is 8 more for function 2 than it is for function 1.

Step-by-step explanation:

Function 1 is a horizontal line, which has a slope of 0. Slope is the same as rate of change.

Function 2 has a slope of 8 (since it is the coefficient of x.

As a result, we know that function 2's rate of change is 8 higher than that of function 1.