Which equation could have been used to create this graph?



A.
y = 5x


B.
y = x + 0


C.
y = x + 1


D.
y = x + 5

Answers

Answer 1
Im Pretty Sure its D!
Answer 2

Answer:

Its b :)

Step-by-step explanation:


Related Questions

PLEASE HELP ME !!!!!!

CHOOSE 1 GRAPH ONLY

AND TRY TO EXPLAIN..
THERE ARE ONLY 4 GRAPHS

Answers

it is the first graph. the equation can be estimated out to be close to 48,000 but still more than it. the line starts up above 48,000 so that is the most logical answer

how do i solve this?

Answers

The area is the same, regardless of how you find it. It is the product of base length and height measured perpendicular to that base.
.. 15*8 = 10*AX
.. AX = 15*8/10 = 12

Given the equation 2x +4 = 4x -2, select the reasoning that correctly solves for x.
A.add 2, subtract 2x, then divide by 2
B.add 2, subtract 4x, then divide by -2
C.subtract 4, subtract 2x, then divide by -2
D.subtract 4, subtracts 4x, then divide by 2.,

Answers

The correct answer is A, as you add two to both sides, giving 2x +6=4x, then subtract 2x from both sides, giving 6=2x, and then divide both sides by 2, giving 3=x.

A is the correct answer.

2x+4=4x-22x+4+2=4x-2+22x+6=4x2x-2x+6=4x-2x6/2=2x/23=x

Ms. Jones is ordering pizzas for the school dance. To keep things simple, she plans on only ordering two types, cheese and pepperoni. Each cheese pizza costs $10 and each pepperoni pizza costs $13. The number of cheese pizzas should be more than twice the number of pepperoni pizzas. The school dance budget will allow for no more than $200 to pay for the pizzas. This situation can be modeled by the following system of inequalities.

Answers

let 
x-------------> number of cheese pizza  (each cheese pizza costs $10)
y-------------> number of pepperoni pizza (each pepperoni  pizza costs $13)

we know that
10x+13y <= $200
x > 2y

the answer is 
This situation can be modeled by the following system of inequalities
10x+13y <= $200
x > 2y

using a graph tool
see the attached figure to view the solution of the system of inequalities

You didn't add the system of inequalities. But when you are posting a question and you don't know how to type the question or the answer or if you don't feel like it. Hold down shift, ctrl (control), and the button that divides/spaces  each tab out, amd you're screen if go dime so you can highlight a part of the screen so it will take a picture and you can post it.

___________________________

I posted the question and answer below.

!!Hope this helped!!

Please rate "excellent"

Step-by-step explanation:

Answer: In the picture below the correct answer is

D. The system represents the minimum amount that Ms. Jones can spend on cheese pizzas, x, and pepperoni pizzas, y, and the relationship between the number of cheese pizzas and pepperoni pizzas.


The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum

Answers

Hope this helps.

The largest pair of consecutive integers are 198 and 200.

Explanation: hope it helps

If the sum of two equal even numbers is 400, the numbers will be 200+200.
Therefore the largest possible consecutive even numbers which have a sum of 400 or less are 198 and 200 which have a sum of 398.

Any pair of consecutive numbers less than these will have a sum of less than 400.



A duck has two legs. Write a conditional statement based on the given statement. A. An animal is a duck if it has two legs. B. If an animal has two legs, then it is a duck. C. If an animal is a duck, then it has two legs. D. If an animal is not a duck, then it does not have two legs.

Answers

we know that

the conditional statement is a logical statement that has two parts, a hypothesis and a conclusion. 
in this problem
 hypothesis----------->If an animal is a duck
conclusion-----------> then it has two legs

the answer is the option C.) If an animal is a duck, then it has two legs.

Answer:

C

Step-by-step explanation:

PLEASE HELP QUICK
HURRRY!!!!!

Answers

The answer is D = 3(h - 5)

Which of these is equal to sin 21°?
A) cos 21°
B) cos 69°
C) sin 69°
D) tan 69°

Answers

Answer: Choice B) cos(69)

Work Shown:
cos(90-x) = sin(x)
cos(90-21) = sin(21)
cos(69) = sin(21)

Answer:

B. Cos 69°

Step-by-step explanation:

Given : sin 21°

Solution : To show how Cos 69 ° = Sin 21 °

we will use sine and cosine trigonometric identity

i.e. Cos (90 °-x) = Sin x           ---(A)

We are given Sin 21 °

So, putting x =21 ° in (A)

We are getting : Cos(90 °-21 °) = Sin 21 °

Cos 69 ° = Sin 21 °

Hence it is shown that Cos 69 ° = Sin 21 °


Hey there! I’m having a bit of trouble with this one, I think I’ve been looking at this for too long. If you could give me an explanation, I would be appreciate it! Thanks in advance! This is a practice test.

Answers

AD = 42-x

The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides  ⇒
AB/BC = AD/DC
36/27 = (42-x)/x
36x = 27(42-x)
36x = 1134 - 27x
36x + 27x = 1134
63x = 1134
x = 1134/63
x = 18

no lo sé, pero como necesito puntos, ¿sí?

The angles opposite the congruent sides of an isosceles triangle are congruent find the value of x in the triangle TRIANGLE BOTTOM LEFT OF TRIANGLE 70 DEGREES VERY TOP OF TRIANGLE X!!!! PLS HELP WITHOUT COPY AND PASTING. SHOW ALL UR WORK

Answers

Final Answer:

In the isosceles triangle, the base angles are congruent, and the given angle at the top is [tex]\(70^\circ\)[/tex]. Using the sum of angles in a triangle, we find that the value of (x) is [tex]\(40^\circ\)[/tex]. Therefore, the final answer is [tex]\(x = 40^\circ\)[/tex].

Step-by-step explanation:

The base angles of the isosceles triangle as (A) and (B), and the vertex angle as (x). Since we know that the angles opposite the congruent sides are congruent, we have:

[ A = B ]

Now, let's consider the sum of angles in a triangle. The sum of all angles in a triangle is always [tex]\(180^\circ\)[/tex]. Therefore:

[tex]\[ A + B + x = 180^\circ \][/tex]

But since (A = B), we can rewrite this as:

[tex]\[ 2A + x = 180^\circ \][/tex]

Now, substitute (A) with [tex]\(70^\circ\)[/tex] (as given in the problem):

[tex]\[ 2(70^\circ) + x = 180^\circ \][/tex]

Simplify the equation:

[tex]\[ 140^\circ + x = 180^\circ \][/tex]

Now, isolate (x) by subtracting [tex]\(140^\circ\)[/tex] from both sides of the equation:

[tex]\[ x = 180^\circ - 140^\circ \][/tex]

[tex]\[ x = 40^\circ \][/tex]

So, the value of (x) in the given isosceles triangle is [tex]\(40^\circ\)[/tex].

Final answer:

The value of x in the isosceles triangle is 40 degrees, which is found by using the property that the angles opposite the congruent sides are congruent and the sum of the angles in any triangle is always 180 degrees.

Explanation:

To find the value of x in an isosceles triangle where one of the angles at the base is 70 degrees, we employ the property that the angles opposite the congruent sides of an isosceles triangle are also congruent. This means that the other angle at the base is also 70 degrees. Since the sum of the angles in any triangle is always 180 degrees, we can set up an equation to solve for x:

70° (angle at the left base) + 70° (angle at the right base) + x (angle at the top) = 180°

Adding the base angles together gives us:

70° + 70° = 140°

To find x, we simply subtract the sum of the base angles from 180 degrees:

180° - 140° = 40°

Therefore, the value of x, the angle at the top of the isosceles triangle, is 40 degrees.

What is the value of x?
4/5 x- 1/10= 3/10

A. 1/4
B. 8/25
C. 2/5
D.1/2

Answers

the answer is D. 1/2

What is the sum of the polynomials (7x^3-4x^2)+(2x^3-4x^2)

Answers

Answer:

9x3 (B)

Step-by-step explanation:

i just took the unit test, it was correct

The sum of the polynomial function is 9x^3 - 8x^2

Sum of polynomial functions

Polynomial functions area function with a leading degree of 3 and above. Given the sum;

(7x^3-4x^2)+(2x^3-4x^2)

Expand

(7x^3-4x^2)+(2x^3-4x^2)

= 7x^3-4x^2 + 2x^3-4x^2

Collect like terms

7x^3 + 2x^3 - 4x^2 -4x^2

9x^3 - 8x^2

Hence the sum of the polynomial function is 9x^3 - 8x^2

Learn more on polynomial here: https://brainly.com/question/2833285

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jackie set up a lemonade stand

Answers

Jackie set up a lemonade stand, then what?

What is the question?

1 question need help thank you!!

Answers

The correct answer is:  [D]:  "  x² – 5x – 24 " .
____________________________________________________
Explanation:
_____________________________________
Given:  " (x + 3)(x – 8) " ; expand :
______________________________________
Note:  (a + b) (c + d) = ac + ad + bc + bd .
_____________________________________
a = x ; 

b = 3 ; 

c = x  

d = 8
_______________________________________

   " (x + 3)(x – 8) " ; 

        =  (x * x)  + ( -8 * x)  + ( 3 * x ) + (3 * -8) ; 

        =  x² + (-8x) + 3x + (-24) ;

         = x² – 8x + 3x – 24 ;

→ Combine the "like terms" :

          – 8x  +  3x  =  – 5x ;

And simplify the expression; 

to get: 

 " x² – 5x – 24 " ; which is:  Answer choice:  [D]:  " x² – 5x – 24 " .
________________________________________________________

If AB < AC < CB in triangle ABC then which of the following is true?

Angle A < Angle B < Angle C
Angle C < Angle A < Angle B
Angle C < Angle B < Angle A
Angle A < Angle C < Angle B,

Answers

 The answer would be the third option where angle C is the smallest while angle A is the largest. For example, in a 30-60-90 triangle the hypotenuse (2x) uses angles 30 and 60 which are smaller than 90. Then the smaller leg (x) uses angles 60 and 90 while the larger leg (x [tex] \sqrt{3} [/tex]) uses angles 30 and 90. I hope this helped!
Angle C < Angle B < Angle A

For this problem, the sides opposite each angle is proportional to the sine of the angle. Larger side = larger angle. So we've been given AB < AC < CB.
Side AB is opposite angle C

Side AC is opposite angle B
Side CB is opposite angle A
So
C < B < A

Now looking at the options, the third options matches, which is
Angle C < Angle B < Angle A

The other 3 options don't match and therefore are wrong.

Which is the graph of f(x)= square root of x

Answers

Hello!

The answer for f(x) = sqrt x is the image below. It is neither of these, so check to see if you have more answer choices. (Just make sure to pay attention to the x- and y-values that the graph is plotted on below)

I hope this helps :))

(3c2 + 2d)(–5c2 + d) Select all of the partial products for the multiplication problem above.

Answers

Answer:

2d^2

-15c^4

-10c^2 d

3c^2d

Step-by-step explanation:

Just had the question, good luck lovelies! :)

The partial products for the expression (3c² + 2d)(-5c² + d) are -15c⁴, 3c²d, -10c²d, and 2d².

The multiplication of the expression (3c² + 2d)(-5c² + d) step by step,

(3c² + 2d)(-5c² + d)

To find the partial products, we'll use the distributive property, which states that for any numbers a, b, and c:

a(b + c) = ab + ac

Now, applying this to your expression:

3c² × -5c²:

Multiply 3c² by -5c².

Result: -15c⁴

3c² × d:

Multiply 3c² by d.

Result: 3c²d

2d × -5c²:

Multiply 2d by -5c².

Result: -10c²d

2d × d:

Multiply 2d by d.

Result: 2d²

Therefore, these are the partial products obtained when multiplying the given expressions.

-15c⁴

3c²d

-10c²d

2d²

learn more about  partial products here

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The above question is incomplete , the complete question is:

(3c² + 2d)(–5c² + d) Select all of the partial products for the multiplication problem above.

2d²

3cd³

-15c⁴

-10c²d

-15c²

3c²d

Centered 7 meters above the ground, a Ferris wheel of radius 6 meters is rotating with angular speed
24 degrees per second.
a. Assuming that you begin at time t = 0 seconds at the lowest point on the wheel, find a formula
that describes the distance h (in meters) from you to the ground after t seconds of riding.
b. At what times are you 10 meters above the ground? Please explain clearly how you got your
solution.

Answers

a)[tex]\[ h(t) = 13 - 6\cos\left(\frac{2\pi}{15} t\right) \][/tex]

This formula gives the distance \( h \) from you to the ground after \( t \) seconds of riding.

b) you are 10 meters above the ground at [tex]\( t = \frac{5}{2} \)[/tex] seconds, which is \( 2.5 \) seconds after starting at the lowest point.

Let's break down this problem step by step:

a. To find a formula for the distance ( h ) (in meters) from you to the ground after ( t ) seconds of riding, we can use trigonometry and the properties of circular motion.

1. The Ferris wheel has a radius of 6 meters and is centered 7 meters above the ground. This means that at the lowest point, you are ( 7 + 6 = 13 ) meters above the ground, and at the highest point, you are ( 7 - 6 = 1 ) meter above the ground.

2. The angular speed of the Ferris wheel is given as 24 degrees per second. Since the Ferris wheel completes one full rotation (360 degrees) in[tex]\( \frac{360^\circ}{24^\circ/\text{sec}} = 15 \)[/tex] seconds, its angular velocity is[tex]\( \omega = \frac{2\pi}{15} \)[/tex]radians per second.

3. Let [tex]\( \theta \)[/tex] be the angle in radians that the Ferris wheel has rotated through at time ( t ) seconds. The height ( h ) above the ground can be expressed as:

[tex]\[ h = 13 - 6\cos(\theta) \][/tex]

To relate[tex]\( \theta \) to time \( t \)[/tex], we use the formula for angular displacement in circular motion:

[tex]\[ \theta = \omega t \][/tex]

Substitute [tex]\( \omega = \frac{2\pi}{15} \)[/tex] into the equation above to get:

[tex]\[ \theta = \frac{2\pi}{15} t \][/tex]

Now, substitute [tex]\( \theta \)[/tex]back into the equation for height \( h \):

[tex]\[ h(t) = 13 - 6\cos\left(\frac{2\pi}{15} t\right) \][/tex]

This formula gives the distance \( h \) from you to the ground after \( t \) seconds of riding.

b. To find the times when you are 10 meters above the ground, we set \( h(t) = 10 \) and solve for \( t \):

[tex]\[ 10 = 13 - 6\cos\left(\frac{2\pi}{15} t\right) \][/tex]

First, subtract 10 from both sides:

[tex]\[ -3 = -6\cos\left(\frac{2\pi}{15} t\right) \][/tex]

Divide both sides by -6:

[tex]\[ \frac{1}{2} = \cos\left(\frac{2\pi}{15} t\right) \][/tex]

Now, take the inverse cosine (arccos) of both sides:

[tex]\[ \frac{2\pi}{15} t = \cos^{-1}\left(\frac{1}{2}\right) \][/tex]

Solve for \( t \) by dividing both sides by [tex]\( \frac{2\pi}{15} \)[/tex]:

[tex]\[ t = \frac{15}{2\pi} \cos^{-1}\left(\frac{1}{2}\right) \][/tex]

Using the fact that [tex]\( \cos^{-1}\left(\frac{1}{2}\right) = \frac{\pi}{3} \)[/tex], substitute this value into the equation:

[tex]\[ t = \frac{15}{2\pi} \times \frac{\pi}{3} \]\[ t = \frac{5}{2} \][/tex]

So, you are 10 meters above the ground at [tex]\( t = \frac{5}{2} \)[/tex] seconds, which is \( 2.5 \) seconds after starting at the lowest point.

One number is 5 greater than another. the product of the numbers is 150. find the numbers. one pair of​ numbers, both of which are​ positive, is nothing.

Answers

150 = 1*150 = 2*75 = 3*50 = 5*30 = 6*25 = 10*15

Your numbers are 15 and 10.

Factor completely: 5ab + 3ay + 5b + 3y (1 point)
(5b + 3y)(a + 1)
(5b - 3y)(a + 1)
(5b + 3y)(a - 1)
Prime
5. Factor completely: 4x3 + 28x2 + 7x + 49 (2 points)
(x - 7)(4x2 + 7)
(x - 7)(4x2 - 7)
(x + 7)(4x2 + 7)
(x + 7)(4x2 - 7)
6. Factor completely: 21x3 + 35x2 + 9x + 15 (2 points)
(3x - 5)(7x2 - 3)
(3x - 5)(7x2 + 3)
(3x + 5)(7x2 - 3)
(3x + 5)(7x2 + 3)
7. Factor completely: 10xy + 3y + 20ax + 6a (2 points)
(10x - 3)(y - 2a)
(10x - 3)(y + 2a)
(10x + 3)(y + 2a)
(10x + 3)(y - 2a)

Answers

4.  ( 5b + 3y ) ( a + 1 )

5.  ( x + 7 ) ( 4x² +7 )

6.  ( 3x + 5 ) ( 7x² +3 )

7.  ( 10x + 3 ) ( y + 2a )

Answer:  The correct options are :

(4). (A) [tex](5b+3y)(a+1).[/tex]

(5). (C) [tex] (x+7)(4x^2+7).[/tex]

(6). (D) [tex] (3x+5)(7x^2+3).[/tex]

(7). (C) [tex] (10x+3)(y+2a).[/tex]

Step-by-step explanation:  We are given to completely factor the following expressions :

Expression 4 :

The given expression is

[tex]E_1=5ab+3ay+5b+3y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The factorization of expression (i) is as follows :

[tex]E_1\\\\=5ab+3ay+5b+3y\\\\=a(5b+3y)+1(5b+3y)\\\\=(5b+3y)(a+1).[/tex]

So, option (A) is CORRECT.

Expression 5 :

The given expression is

[tex]E_2=4x^3+28x^2+7x+49~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

The factorization of expression (ii) is as follows :

[tex]E_2\\\\=4x^3+28x^2+7x+49\\\\=4x^2(x+7)+7(x+7)\\\\=(x+7)(4x^2+7).[/tex]

So, option (C) is CORRECT.

Expression 6 :

The given expression is

[tex]E_3=21x^3+35x^2+9x+15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

The factorization of expression (iii) is as follows :

[tex]E_3\\\\=21x^3+35x^2+9x+15\\\\=7x^2(3x+5)+3(3x+5)\\\\=(3x+5)(7x^2+3).[/tex]

So, option (D) is CORRECT.

Expression 7 :

The given expression is

[tex]E_4=10xy+3y+20ax+6a~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)[/tex]

The factorization of expression (iv) is as follows :

[tex]E_4\\\\=10xy+3y+20ax+6a\\\\=y(10x+3)+2a(10x+3)\\\\=(10x+3)(y+2a).[/tex]

So, option (C) is CORRECT.

Evaluate the series 8 simga 5n n=3.In this image, the lower limit of the summation notation is n=3

Answers

The answer is 165.

The values of n from 3 to 8 are what we substitute into our expression, 5n:

5(3)+5(4)+5(5)+5(6)+5(7)+5(8)
=15+20+25+30+35+40
= 165.

Answer:

The value of [tex]\sum_{n=3}^{8}5n[/tex] is 165.

Step-by-step explanation:

We have to evaluate sigma 5n from n=3 to 8 taht is:

[tex]\sum_{n=3}^{8}5n[/tex]

Thus, substituting the value of n from 3 to 8 in the above equation, we get

=[tex]5(3)+5(4)+5(5)+5(6)+5(7)+5(8)[/tex]

=[tex]15+20+25+30+35+40[/tex]

=[tex]165[/tex]

Thus, the value of [tex]\sum_{n=3}^{8}5n[/tex] is 165.

Question 1.1. Suppose a normal distribution has a mean of 20 and a standard deviation of 4.

A value of 26 is how many standard deviations away from the mean?
(Points : 1)
1.5

0.5

0.5

1.5



Question 2.2. Suppose a normal distribution has a mean of 20 and a standard deviation of 4.

What is the z-score of a value that is 0.52 standard deviations less than the mean?
(Points : 1)
0.52

0.13

0.13

0.52,

Answers

Answer: Question 1.1: It is 1.5 standard deviations away from the mean.

Our value of 26 is 6 units about the mean of 20. If each standard deviation is 4, we just divide 6 by 4. This gives us the number of standard deviations.

Question 2.2 The correct answer is -0.52

If we are 0.52 standard deviations below the mean, then our z-score is simply -0.52. The definition of a z-score is the number of standard deviations from the mean.

.Wind is related to the movement of warm and cold air masses. Which kind of heat transfer does this represent? ANSWERS: A. radiation


B. conduction


C. convection


D. absorption

Answers

C. Convection 
Explanation: Convection heat transfer creates wind because hotter, less dense air rises, while colder, more dense air moves downward. This movement of heated and cooled air is wind.

Answer:

Convection

Step-by-step explanation:

can someone check my answer please HELP!

Sonji paid $25.00 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

i believe i got 14 for the most expensive scarf am i correct?

Answers

Let price of one scarf be $x 
Price of the other is 3 more than $x
 Therefore price of the other scarf =$x +3
 The total price she paid = $25.00
 That is, x+x+3=25
  2x+3=25
  2x=25-3
  2x=22
  x=22/2
  x=11
 The price of one scarf is $11 and the price of the other is 11+3=$14
 The price of the expensive scarf =$14.

Quadrilateral ABCD is inscribed in circle O.
What is m∠C?

Enter your answer in the box.


____°


Please show how to solve this question. Thanks again.

Answers

Angle C would equal 59 degrees

To solve this question we will have to make use of one of the properties of the inscribed quadrilateral. That property is: "Opposite angles in any quadrilateral inscribed in a circle are supplements of each other".

Thus, as we can see from the diagram given, [tex] \angle B+\angle D=180^{\circ} [/tex]

[tex] (2x+3)+(4x+3)=180^{\circ} [/tex]

[tex] \therefore 6x+6=180^{\circ} [/tex]

[tex] 6x=174^{\circ} [/tex]

[tex] \therefore x=\frac{174^{\circ}}{6} =28^{\circ} [/tex]

Thus, now that we know the value of x, we can easily find the value of the [tex] \angle C [/tex] because we know that:

[tex] \angle C=2x+1 [/tex]

[tex] \therefore \angle C=2(29^{\circ})+1=59^{\circ} [/tex]

Thus, [tex] \boldsymbol{59^{\circ}} [/tex] is the correct answer.


Which of the points are solutions to the inequality?

y > 2x -4

Check all that apply.

(–2, –5)
(0, –4)
(1, 1)
(3, 5)
(5, 5)

Answers

the real answer is (1) (3) (4) on edgen.

The points that are solutions to the inequality below are (–2, –5), (1, 1) and (3, 5)

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

We need to replace the values of x and y of the point into the inequality, and if all conditions are respected, they are solutions.

Given inequality is

y > 2x -4

The points that are solutions given as follow:

1. (–2, –5)

y > 2x -4

-5 > -4 -4, True

2. (0, –4)

y > 2x -4

-4 > -4 False

3. (1, 1)

y > 2x -4

1 > -2 True

4. (3, 5)

y > 2x -4

5 > 2 True

5. (5, 5)

y > 2x -4

5 > 6 False

Hence, The points that are solutions to the inequality below are (–2, –5), (1, 1) and (3, 5)

Learn more about inequalities here:

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What is n -7_> 2. ( p.s. that’s a greater than equal to sign_>)

Answers

n - 7 ≥ 2
add 7 to both sides
n ≥ 2 + 7
n ≥ 9

ANSWER: n ≥ 9

Hope this helps! :)

PLEASE HELP ASAAAAPPPPPPP

Answers

Distribute ^4 to both 2 and q^5

2^4 = 2 x 2 x 2 x 2 = 16
(q^5)^4 = q^20

16(q^20) = 16q^20 

16q^20 is your answer

hope this helps

Derek's phone number, $336$ - $7624,$ has the property that the three-digit prefix, $336,$ equals the product of the last four digits, $7 \times 6 \times 2 \times 4.$ how many seven-digit phone numbers beginning with $336$ have this property?

Answers

Final answer:

To find the number of seven-digit phone numbers beginning with 336 that have the given property, we need to determine the number of possible combinations for the middle three digits. The number of different seven-digit phone numbers that satisfy the given property is 7.

Explanation:

To find the number of seven-digit phone numbers beginning with 336 that have the given property, we need to determine the number of possible combinations for the middle three digits.


 The last four digits of the phone number are the product of 7, 6, 2, and 4, which is 336.
 Since the three-digit prefix is also 336, the remaining three digits in the middle should be such that their product is also 336.
 336 can be factored as 2 x 2 x 2 x 2 x 3 x 7. So, we need to find the number of ways to distribute these factors over the three middle digits.
 Since the digits cannot be repeated, we can list down all the possibilities:
   
     2 x 2 x 7
     2 x 4 x 3
     2 x 2 x 3 x 2
     4 x 2 x 3
     3 x 2 x 2 x 2
     2 x 3 x 2 x 2
     2 x 2 x 2 x 3
   
 
 Each of these combinations can be arranged in different ways, resulting in multiple seven-digit phone numbers.
 Therefore, there are 7 different seven-digit phone numbers beginning with 336 that have the given property.

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A square prism has a base with the length of 23 cm. What is the area, in square centimeters, of the base of the prism?

Answers

46 square centimeters. If it's a square, the length and width are the same. If they're both 23, you multiply that by two and get 46
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