At an office store, pens are sold by the box with 15 pens per box. The store has 232 boxes to sell. How many pens does the store have to sell? Enter your answer in the box.

Answer:

Here's what I get  

Step-by-step explanation:

The formula for a quadratic equation is

ax² + bx + c = 0

The quadratic formula gives the roots:

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]

D is the discriminant.

It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.

[tex]D = \begin{cases}\text{positive} & \quad \text{2 real solutions}\\\text{zero} & \quad \text{1 real solution}\\\text{negative} & \quad \text{0 real solutions}\\\end{cases}[/tex]

It doesn't matter if the graph opens upwards or downwards.

If D > 0, the graph crosses the x-axis at two points.

If D = 0, the graph touches the x-axis at one point.

If D < 0, the graph never reaches the x-axis.

Your graph must look like one of the two graphs on the right in the Figure below.

Answer:

GRAPH D

Step-by-step explanation:

ENG 2021(:

Answer:

3n + 2

Step-by-step explanation:

Answer:

3 or -3

Step-by-step explanation:

You need to factor it to be able to find the solution.

x^2-9=0

(x+3)(x-3)=0  You now need to find 'each' zero, because if one parenthesis equals 0, then you are multiplying the rest of the equation by 0 which will equal 0.

x+3=0  Subtract three

x= -3    

x-3=0  Add three

x= 3

x^2-9 will equal 0 when x is either +3 or -3

Answer:

x=3  x=-3

Step-by-step explanation:

x^2-9=0

We know this is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(x-3)(x+3) =0

Using the zero product property

x-3 =0  x+3 =0

x=3  x=-3

Answer:

Solution:

The average marks of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102 and 152.

To find : average of the extracted scores that are the extreme values (outliers)

The average marks of candidates in an aptitude test was 128.5

=> Mean = 128.5

Standard Deviation = 8.2

outlier will be out sides   then range    Mean  ± 3* SD

128.5 ± 8.2 × 3

= 128.5 ± 24.6

Range is   ( 103.9  ,  153.1)

102 is outside this range

Formula for a quarter circle's perimeter: C = ((pi x 2 x radius) / 4) + r + r

17.85 = ((3.14 x 2 x r) / 4) + 2r

17.85 = (6.28r / 4) + 2r

17.85 = 1.57r + 2r

17.85 = 3.57r

r = 5 meters

Hope this helps! :)

Answer:

160 months

Step-by-step explanation:

just took that ap3x quiz yerrr

Answer:

Surface area: 310.86 sq ft

Step-by-step explanation:

First, find the surface area of the cylinder. This can be found by finding the area of the circle at its base, and then the area of its mid-region.

The area of the circle can be found using the formula: a = pi(r^2). r stands for radius, which is 3 in this problem. 3^2 equals 9, which, multiplied by pi (3.14), equals 28.26.

The area of the cylinder's mid-region is equal to the circumference of the circle multiplied by the height of the cylinder. The circumference of the circle is equal to c = 2pi(r), or in this case: 18.84. Now, multiply this value by the height to get 226.08 as the area of the mid-region.

Lastly, find the surface area of the sphere. This can be found using the equation a =4πr^2. r is, again, radius, which in this problem can be represented by 3. The surface area of a sphere with a radius of 3 is 113.04. However, this figure only shows half a sphere, which can be found by dividing 113.04 in half. This gets you 56.52.

Now, simply add all the areas together to get the total surface area!

Answer:

-14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x/2-5=-12

1/2x+-5=-12

1/2x-5=-12

Step 2: Add 5 to both sides.

1/2x-5+5=-12+5

1/2x=-7

Step 3: Multiply both sides by 2.

2*(1/2x)=(2)*(-7)

x=-14

Answer:

-14

Step-by-step explanation:

x/2 = -12 + 5 << add both sides by 5

x/2 = -7 << Combine -12 + 5

x = -14 << Multiply both sides by 2

This revolves around the idea of inverse operations

To get x by itself we needed to bring the other numbers to the other side of the equation.

Inverse operations is bring the numbers to the other side by doing the opposite operation it shows.

ex: if the number is +5 on one side, it will be -5 on the other

Hope this helps!

If you don't understand, please feel free to comment and let me know!

Have a great day!

Answer:

2100 people

Step-by-step explanation

3500 divided by 5=700

700 x 3= 2100

Answer:

Here you go

Step-by-step explanation:

A) 3x

B) -2p + 9

C) 13+6w

D) 2(5d + 3c +1)

E) 2(4g - 3)

F) 11a

Answer:

a. 3x

b. -2p+9

c. 6w+13

d. 6c+10d+2

e. 2(4g-3)

d. 11a

Step-by-step explanation:

Answer:

I'm not sure but I believe the correct answer is line L2.

Step-by-step explanation:

It seems to be closer to more points than the other lines.

If it is not L2, it must be L3.

Answer:

y^2-y^1/x^2-x^1

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Let's call blueberries, raspberries, grapes and cherries b, r, g, and c respectively. We can write:

b + r + g + c = 280 (1)

r = 2b (2)

g = 3c (3)

c = 4r (4)

We can plug (2) into (1) to get b + 2b + g + c = 280. Then, we can re-write (4) into r = c / 4 and plug that into (2) which gets us c / 4 = 2b, and when we re-write that we get c = 8b (5). Let's plug that into (1) to get b + 2b + g + 8b = 280. Next, we'll re-write (3) to get g / 3 = c, and we can plug that into (5) to get g / 3 = 8b so then g = 24b and plug that into (1) to get b + 2b + 24b + 8b = 280 → 35b = 280 → b = 8. We can plug this into (5) to get c = 8 * 5 = 40. Hope this helps!

Answer:

the answer is A 3 to 2

Step-by-step explanation:

but if it's wrong I'm sorry but if it's right I'm happy for you

Answer:

Difference = 480.9 in³

Step-by-step explanation:

Given

Cylinder;

Height, h = 3¾ inches

Radius, r₁ = 6 inches

Sphere

Radius, r₂ = 6 inches

The volume of a cylinder is calculated as thus

Volume, V₁ = πr₁²h

The volume of a sphere is calculated as this

Volume, V₂ = 4/3 πr₂³

Calculating the volume of the cylinder

V₁ = πr₁²h becomes

V₁ = π * 6² * 3¾

V₁ = π * 36 * 3¾

V₁ = π * 36 * 15/4

V₁ = π * 540/4

V₁ = π * 135

V₁ = 135π in³

Calculating the volume of the sphere

V₂ = 4/3 πr₂³ becomes

V₂ = 4/3 * π * 6³

V₂ = 4/3 * π * 216

V₂ = 864/3 * π

V₂ = 288π in³

The difference between the volume is calculated as thus.

Difference = V₂ - V₁

Difference = 288π - 135π

Difference = 153π

Take π as 22/7

Difference = 153 * 22/7

Difference = 480.9 in³ (Approximated)

Answer:

3,165.12 square meters

Step-by-step explanation:

To find the surface area of a cylinder, first separate the shapes you must find the area of. In this case, you need to find the areas of two circles and one rectangle (the height).

The two circles can be found using the equation: a = pi(r^2). r means radius!

12 squared is 144, which, multiplied by pi, is 452.16 square units. Because there are two circles, you can multiply this area by two to get the area of both: 904.32.

The rectangle can be found by multiplying the circumference of the circle by the height of the cylinder. The circumference can be found with the equation: c = 2pi(r). The circumference of this cylinder's base is 75.36, which, multiplied by the height of the cylinder, is 2,260.8.

Now that you have both the area of the circles and the side, you can add them both together and get the surface area.

Answer:

length = 14 feet  width = 6 feet

Step-by-step explanation:

you can use rational fractions so...

3/2=21/x         x=14

3/2=9/x          x=6

the x will convert inches to feet

Answer:

As shown in attached file:

green is f(x) = -3 if -2 <= x <= -1

red is f(x) = -2 if -1 <= x <= 0

blue is f(x) = -1 if 0 <= x <= 1

Hope this helps!

:)

Answer:

52min

Step-by-step explanation:

5 people..............5 walls............52 min

1 people...............5 walls...........52 x 5=260 min

1 people................20 walls.........260 x 4 =1040 min

20 people................20 walls........1040:20=52 min

Answer:

116

Step-by-step explanation:

maybe don't try this i could be wrong.

Answer:

0.75c

Step-by-step explanation:

If we have an expression as:

a*x + b*x

We can see that both terms in the expression, a*x and b*x have an x, so we can call the x a common factor and we can write an equivalent expression as:

a*x + b*x  = (a + b)*x

If we replace, for example, a by 2, b by 3 and x by 4, we can test the expression as:

2*4 + 3*4  = (2 + 3)*4

 8   +  12  = (5)*4

    20        = 20

Therefore, if we have the following expression:

c - 0.25*c

The expression that is equivalent is 0.75c and it is calculated as:

c - 0.25*c = (1 - 0.25)*c

c - 0.25*c = 0.75*c

Answer:

Correct option: b -> x + 20y

Step-by-step explanation:

From the first 50 kilometers, the price is a flat amount of x, and for the kilometers travelled thereafter, the price is y per kilometer.

If Ratnam travelled 70 kilometers, he needs to pay 'x' because of the first 50 kilometers, and (70 - 50) = 20 times y for the rest of the travel.

So the final price is:

x + 20y

Correct option: b

The correct option is b x + 20y

Given that,

Based on the above information, the equation is as follows:

x + (70 - 50)y

x + 20y

Learn more: https://brainly.com/question/24908711?referrer=searchResults

Answer:

x=-14

Step-by-step explanation:

first you add 5 to both sides, to get x/2=-7 then multiply each side by two to get x=-14 that is your answer :D

unless, it is [tex]\frac{x}{2-5}[/tex]=-12 if so than the answer would be 36

Answer:

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

Step-by-step explanation:

Meaning of percentile:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

In this question:

Working population of 10,500

8,925 people earn less than $75,000 per year.

8925/10500 = 0.85

0.85*100 = 85

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

Answer:

A and B

Step-by-step explanation:

The "zeros" of the quadratic equation simply refers to what x equals when q(x) = 0.

Set the equation equal to zero as so: 0 = x^2 - 9, and solve!

9 = x^2

+/- 3 = x, when q(x) = 0.

This means that the two points you are trying to find are (-3, 0) and (3, 0)!

Answer:

2 < x

Step-by-step explanation:

7-2(x + 2) <-4 - 3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7+3x

Add 2x to each side

3 -2x+2x< -7+3x+2x

3 < -7+5x

Add 7 to each side

3+7 < -7+7+5x

10 < 5x

Divide each side by 5

10/ 5 < 5x/5

2 < x

Answer:

7

Step-by-step explanation:

Answer:

the product = 0

Step-by-step explanation:

(4x)*0*(-7x)

=-28x^2*0

=0

THerefore, the product = 0

Answer:

10% probability that the number is greater than 2, then P

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Event A: Number greater than 2.

Event B: Letter P.

These events are independent, so:

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

P(A)

There are 5 numbers.

3, 4 or 5, that is, 3 numbers greater than 2.

3/5 = 0.6. So P(A) = 0.6.

P(B)

6 letters, one of which is P. So

P(B) = 1/6 = 0.1667.

What is the probability the number is greater than 2, then P?

[tex]P(A \cap B) = P(A) \times P(B) = 0.6 \times 0.1667 = 0.1[/tex]

10% probability that the number is greater than 2, then P