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[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5

because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]

The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].

Given:

2x + 5

To find:

The expression is a difference of squares with a factor of 2x + 5.

Step 1

The difference of squares formula is given by

[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]

We have been given that one factor is 2x + 5.

Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]

Step 2

It means that the other factor must be (a - b) = (2x - 5)

Hence, in order to expression, we can multiply the factors.

(2x + 5)(2x - 5)

Step 3

Using the difference of squares formula

(2x + 5)(2x - 5)

[tex]$&=(2 x)^{2}-5^{2} \\[/tex]

[tex]$&4 x^{2}-25[/tex]

The required expression exists [tex]$4 x^{2}-25$[/tex].

Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].

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1x1x1.  That's pretty much the definition of

Answer: 1 cubic foot, last choice

Answer:

1 hour and 20 minutes

Step-by-step explanation:

Answer:

Total time taken by Natalie to reach the airport is 1 hour and 20 minutes

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree

No, I do not agree because:

2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.

No, do not agree because:

A  cylinder has two congruent bases but it is not a  polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons

Hope it will find you well.

Answer:

This first expression is correct

V= 2/3*pi*r³

Step-by-step explanation:

This problem bothers on the volume of a cone

We know that the volume of a cone is expressed as

V= 1/3πr²h

Given that h= 2r

Let us substitute h=2r in the formula above

V= 1/3πr²*2r

V= 2/3πr³

The Answer Is:

2/3pix^3

Answer:

Step-by-step explanation:

43feet

Answer:

v= 904.78

Step-by-step explanation:

Answer:

904.77868423386 feet^3

Step-by-step explanation:

Step one the formula is 4/3 Pie R ^3

Step two you do 4/3 x PI x 6^3

Step three do exponents first so 6x6x6=216

Step four multiply 4/3 x 3.14 which equals 4.187

Step four finally you are going to multiply 216 by 4.187 to get   904.77868423386 feet^3

Answer:

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is expressed as shown;

[tex]Tn = a+(n-1)d[/tex]

a is the first term of the sequence

n is the number of terms

d is the common difference

If T₁₂ = 70 and T₃₀ = 124

T₁₂  = a+(12-1)d = 70

T₁₂  = a+11d = 70... (1)

Similarly;

T₃₀ = a + (30-1)d = 124

T₃₀ = a +29d = 124...(2)

Solving equation 1 and 2 simultaneously to get a and d.

Subtracting 2 from 1 we have;

29d - 11d = 124-70

18d = 54

d = 54/18

d = 3

Substituting d = 3 into equation 1 to get a we have;

a + 11(3) = 70

a + 33 = 70

a = 70-33

a = 37

The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d

Tn = 37+(n-1)*3

Tn = 37+3n-3

Tn = 34+3n

the correct answer is -4π/3.

Answer:

B = 41.81

Step-by-step explanation:

sin B = opposite/ hyp

sin B = 2/3

Take the inverse sin of each side

sin ^-1 sin (B) =sin ^-1 (2/3)

B =41.8103149

To the nearest hundredth

B = 41.81

Answer:

-1

Step-by-step explanation:

Take the two points

(-2,4) and (4,-2)

And we can find the  slope

m = (y2-y1)/(x2-x1)

   = (-2-4)/( 4 - -2)

   =(-2-4)/(4+2)

   = -6/6

   = -1

Answer:

19.5

Step-by-step explanation:

there are two middle values in this data set so you have to add and divide them. 18+21=39

39/2= 19.5

hope this helps ! :)

Answer:

19.5

Step-by-step explanation:

middle is 18 and 21 so we need to take the average of these  2 numbers

18+21=39

39/2=19.5

Answer:

A 50

B 10

C 12/5

D 5

E 21

F 100

Answer: -8

Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.

                                             -4x - 8 = 24

                                             -4x - 8 + 8 = 24 + 8

                                             -4x = 32

                                             -4x/-4 = 32/-4

                                              x = -8

Answer:

[tex]73\%[/tex]

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]

[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]

Answer:

64 - 8 + 12 x (2 + 9) = 188

Step-by-step explanation:

64 - 8 + 12 x 2 + 9 = 188

Putting parentheses around two numbers and one operation:

64 - 8 + 12 x (2 + 9) = 188

Following the BODMAS principle

Solving the bracket or parentheses first

(2 + 9) = 11

64 - 8 + 12 × 11

Then multiplication:

12 × 11 = 132

64 - 8 + 132

Then addition:

-8 + 132 = 124

64 + 124 = 188

Hence the proof

Answer:

300 Backpacks each week]

Step-by-step explanation:

dont have an explanation srry but the answer is totally 300 backpacks a week

Answer:

30

Step-by-step explanation:

Answer:

1. x=3, y=1

2. x=1, y= 1

3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)

4. x=1 , y=2

Step-by-step explanation:

This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.

Two rectangles can be similar, but that's not always guaranteed.

In fact, similar shapes have the same angles and correspondant sides in proportion.

All rectangles will always have four right angles, so we only have to worry about the sides.

Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].

Then, the two rectangles are similar if and only if

[tex]a\div c=b\div d[/tex]

So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).

Answer:

The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.

OR B on edge

Step-by-step explanation:

The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is increasing at a faster rate than the cost per pound of broccoli.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

First, Slope for Broccoli

Slope = (3.6 - 3) / (3 - 2.5)

Slope = 0.6 / 0.5

Slope = 1.2

Second, Slope for Cauliflower

slope = (4.50 - 2.75) / (4.5 - 2.75)

= 1.75 / 1.75

= 1.000

Since the slope of the cauliflower function (1.0000) is greater than the slope of the broccoli function (0.8364), we can conclude that the cauliflower function has the greater slope.

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Answer:

x is 31.5°

Step-by-step explanation:

Here, we have each interior angle of a regular octagon = 135°

Each interior angle of a regular pentagon = 108°

Therefore, 135° + 108° + ∡B = 360°

Hence, ∡B = 360° - (135° + 108°) = 117°

Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))

Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB  from which we have;

∡x + ∡CFB + 117° = 180°

∴  ∡x + ∡CFB = 180° - 117° = 63°

Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives

2·∡x = 63°

Hence, ∡x = 63°/2 = 31.5°

∡x = 31.5°.

Answer:

She sold $1,711 in make-up.

Step-by-step explanation:

She sold x.

For the first $500, she gets 18% = 0.18.

For the balance(x - 500), she gets 22% = 0.22.

So her total earnings can be modeled by the following equation:

[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]

[tex]E = 90 + 0.22*(x - 500)[/tex]

She made $356.42 in commission. How much did she sell in make-up?

So

[tex]356.42 = 90 + 0.22*(x - 500)[/tex]

[tex]90 + 0.22x - 110 = 356.42[/tex]

[tex]0.22x = 356.42 + 20[/tex]

[tex]x = \frac{376.42}{0.22}[/tex]

[tex]x = 1711[/tex]

She sold $1,711 in make-up.

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 6

Step-by-step explanation:

In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).

3 - 2x = -1.5x

(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)

-1.5x = 3 - 2x

First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.

0.5x = 3

For our next part here, let's convert 0.5 to a fraction to make life easier for us.

[tex]\frac{1}{2}[/tex]x = 3

When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!

[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)

What we do to one side we must do to another.

x = 3 · 2

x = 6

Our answer is x = 6. Woo!

Answer:

Step-by-step explanation:

Yes, because the sample is random. If she had chosen the participants in any way other than randomly, it would not be representative of her entire school.

Answer

7.85

but I not sure JutMon21 know the problem

Answer:

I got 7.85

Step-by-step explanation:

First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85

Answer:

Step-by-step explanation:

Hard to figure out huh