Write as an algebraic expression and then simplify if possible :

the sum of x and x+3

Answer:

5 terms

Step-by-step explanation:

The numbers will be 3, 4 1/2, 6, 7 1/2, and 9.

Answer:

c

Step-by-step explanation:

week 4 = 11

start = 3

11 - 3 = 8

answer is c

The correct Answer is: C. 8 inches

Step-by-step explanation:

If the plant started out at 3 inches and finished after 4 weeks at 11 inches, we can do 11-3 to find how much growth the pepper plant had.

11 - 3 = 8, therefore our answer is

C. 8 inches

The values of x are (4+k)/2 and 10. The value of the variable x in terms of y is x = y -4

These are equations that contains several equations and unknowns.

Given the following system of equation

x+y=4

x-y=k

Add both equation

x + x = 4 + k

2x = 4+k

x = (4+k)/2

For the equation  

x+y-z=8  

x-y+z=12

Add both equations

2x = 8 + 12

2x = 20

x = 10

The value of x from the equation is 10

Given the equations

x=3b

y = 2/6b+4,

______________

b = x/3

Substitute

y = 2/6(x/3)+4

y = x + 4

x = y - 4

Hence the value of the variable x in terms of y is x = y -4

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The sequence of transformations will be relection and dilation. Then the correct option is A.

A spatial transformation is each mapping of feature shapes to itself and it maintains some spatial correlation between figures.

The sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent.

Reflection does not change the size and shape of the geometry.

Rotation does not change the size and shape of the geometry.

Translation does not change the size and shape of the geometry.

Dilation does not change the shape but changes the size of the geometry.

Then the correct option is A.

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Answer:

sin C = cos A

Step-by-step explanation:

sinC = opp/hyp

=12/13

cosA = adj/hyp

12/13

The average monthly temperature of a city can be modeled by a cosine graph, Melissa should focus on the Midline. This is further explained below.

Generally, The average temperature would be indicated somewhere along the curve, most likely near the middle.

In conclusion, Melissa should concentrate on the Midline, which can be used to model the average monthly temperature of a city.

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Answer:

It is located to the right of the 0 on the line,

Step-by-step explanation:

the numbers are increasing going from left to right. 1.84 is located 1.84 from 0.

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal. Kyle's claim is Incorrect.

It is a polygon with four sides. The total interior angle is 360 degrees.

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal.

Kyle's claim is Incorrect. Because the shapes are square and rhombus.

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal.

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The cost price of pawpaw is 40 and the cost if the basket of mangoes is 1250.

Based on the information given, the equations to solve the question will be:

30p + 100m = 2450 .... i

1.3 × 40p - 30 p + 1.3 × 100m = 855 ..... ii

30p + 100m = 2450

12p + 30m = 855

Solving simultaneously, the price of pawpaw is 40 and the price of mango is 12.5.

Therefore, the cost of 100 basket of mangoes will be:

= 12.5 × 100

= 1250

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Answer:

the portion of a solid that lies between one or two parallel planes cutting it

Step-by-step explanation:

The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.  

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Let's assume the graph of Cheryl's commute was like the one below.

We can see that she started at 0 mph.  

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.

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The half life in days is  1924.0245 days.

Half life is the time taken for the radioactivity of a substance to fall to half its original value.

Given:

N= 8

N[tex]_0[/tex]= initial mass

t= in days

So, N= [tex]N_0e^{-kt}[/tex]

Putting the values we get

half value = 5.2713 years or 1924.0245 days

Hence, the half-life is 1924.0245 days.

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Answer:

0.7855 square feet

Step-by-step explanation:

90/360×3.142×1 squared

=0.7855

Answer:

4y⁷x²

Step-by-step explanation:

    Prime factorize each expression.

28y⁷x² = 2 * 2 * 7 * y⁷ * x²

8y⁸v⁴x⁶ = 2 * 2 * 2 * y⁸ * v⁴ * x⁶

GCF = 2 * 2 *y⁷*x²

        = 4y⁷x²

They are both factors of 15x-10 because 5(3x-2)=15x-10

factor x factor=product.

In this case 15x-10 is the product

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

Answer:

72

Step-by-step explanation:

I got to get some bread for you guys

Answer:

I'll do it the answer is truthfully 72 if you don't think go check my page

Answer: C, {(1, -4), (4, -1)}

Step-by-step explanation: Where the two graphs meet are their solutions, and the points where they meet are {(1, -4),(4,-1)}.

Answer:

(-1 ; 3)

Step-by-step explanation:

when they say find the ordered pair they simply mean find the corresponding y value when x = -1

* where you see x substitute-1 *

f(-1) = 3(-1) + 6

=3

Answer:

Step-by-step explanation:

Log x=4 ➡️ e⁴=x or x= e⁴

Hope it helps

As the travelling distance to work increases, number of such people decreases. Therefore this distribution shape will be skewed right.

On each weekday, the number of sleeping hours generally remains the same. So the shape of the distribution will be uniform.

In general, most people will have their first heart attack at a higher age. So the shape of the distribution will be skewed left.

Scores of GRE will have a normal distribution in general. So the shape of the distribution will be symmetric.

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Answer:

R

H

S

=  cos

2

x

Step-by-step explanation:

Hope this helped!

Answer:

[tex]a_{n}[/tex] = 100n - 78

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₁₄ = 1322 and a₃₈ = 3722 , then

a₁ + 13d = 1322 → (1)

a₁ + 37d = 3722 → (2)

subtract (1) from (2) term by term to eliminate a₁

24d = 2400 ( divide both sides by 24 )

d = 100

substitute d = 100 into either of the 2 equations and solve for a₁

substituting into (1)

a₁ + 13(100) = 1322

a₁ + 1300 = 1322 ( subtract 1300 from both sides )

a₁ = 22

then nth term formula is

[tex]a_{n}[/tex] = 22 + 100(n - 1) = 22 + 100n - 100 = 100n - 78

The angle at which the man should observe is 45 degrees.

Given :

height of man = 1.5m

height of tower = 81.5 m

distance between tower and man = 80 m

Since, ABCD is a rectangle, AD = BC = 80m

Similarly, AB = CD = 1.5m

EC = ED + CD

81.5 = ED + 1.5

ED = 80m

Now, in order to find the angle EAD, we use trigonometric functions,

tan ∅ = perpendicular / base = ED / AD

tan ∅ = 80 /80 = 1

∅ = [tex]tan^{-1} (1)[/tex]

∅ = 45°.

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The complete question says: Let v, w, be vectors of [tex]\mathbb{R}^4[/tex]. Let A be a matrix with 4 columns v, w, 2v+w, v-w. What are the possible values for rank(A)?

The possible values for rank A = 2

A vector space is a space that contains vectors as well as the associative including the commutative operation of vector addition and the associative, as well as, distributive operations of vector multiplication by scalars.

From the information given:

where;

However, the vectors 2v+w and v-w can be expressed as a linear combination of the given values of v and w(independent vectors).

We can conclude that the maximum no. of independent rows = 2. Hence, the possible rank of matrix A is 2.

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Answer:

62m^2

Step-by-step explanation:

From the figure above, we have two rectangles

For one rectangle,

Lenghts= 7m

Width = 6m

Area = lenght× width = 7×6= 42m^2

For the sect rectangle

Lenght = 5cm

Width = 4cm

Area = 5×4 = 20cm^2

Area of jack patio = 42+20= 62m^2

the transformations used are:

We start with the function:

[tex]f(x) = 2^x[/tex]

And we have the transformed function:

[tex]g(x) = 5*2^{x-2} + 3[/tex]

Bow, let's start with the original function f(x). If first we apply a vertical dilation of scale factor 5, then we have:

g(x) = 5*f(x).

Then we apply a shift of 2 units to the right, so we have:

g(x) = 5*f(x - 2)

Then we apply a shift of 3 units up, so we have:

g(x) = 5*f(x - 2) + 3

Replacing f(x) by the actual function:

[tex]g(x) = 5*2^{x-2} + 3[/tex]

Then the transformations used are:

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