The slope of the line in the graph is_
The y-intercept is_
The equation of the line is y=
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Answer:

C B D E A

Step-by-step explanation:

The summation of integers with finite integral power (constant for all integers) up to a finite integer can be evaluated. The correct expressions filled would be in the sequence c,b,d,e,a.

Suppose we take the sum of natural numbers (also called positive integers) raised to power 1, 2, and 3, till the nth integer. Then, their sums are given as shown below:

[tex]S_1 = 1 + 2 + \cdots + n = \sum_{i=1}^n i = \dfrac{n(n+1)}{2}\\\\S_2 =1^2 + 2^2 + \cdots + n^2 = \sum_{i=1}^n i^2 = \dfrac{n(n+1)(n+2)}{6}\\\\S_3 = 1^3 + 2^3 + \cdots + n^3 = \sum_{i=1}^n i^3 = \left[\dfrac{n(n+1)}{2}\\\right]^2[/tex]

For this case, evaluating the rest of the two summations:

[tex]\sum_{i=1}^n ca_i = ca_1 + ca_2 + \cdots + ca_n = c(a_1 + a_2 + \cdots + a_n)\\\sum_{i=1}^n ca_i = c\sum_{i=0}^n a_i[/tex]

c was not depending on the variable on which summation is done, which was i. Therefore, it can come out directly.

Thus, whenever we get:

[tex]\sum_x k f(x)[/tex] where k is not depending on the value of x, then we can take it as:

[tex]\sum_x k f(x) = k\left(\sum_x f(x) \right)[/tex] (using the distributive property of multiplication over addition).

Similarly, we get:

[tex]\sum_{i=1}^n c = c + c + \cdots + c \text{ (n times)} = c\times n\\\sum_{i=1}^n ca_i = c.n[/tex]

Thus, the summation of integers with finite integral power (constant for all integers) up to a finite integer can be evaluated. The correct expressions filled would be in the sequence c,b,d,e,a.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Your Prime Factorization for the given number is}\downarrow[/tex]

[tex]\mathsf{2\times2\times2\times2\times2\times2\times3\times3}[/tex]

[tex]\large\text{The number of 2s you have in the factorization tree is about 6}[/tex]

[tex]\large\text{The number of 3s you have in the factorization tree is about 2}[/tex]

[tex]\large\text{So, your \bf exponential formation}\large\text{ should look like} \downarrow[/tex]

[tex]\mathsf{2^6\times3^2}[/tex]

[tex]\large\text{The CSV Formation}\downarrow[/tex]

[tex]\mathsf{2, 2, 2, 2, 2, 2, 3, \& \ 3}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\bf 2^6\times3^2}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

positive assosiation

Step-by-step explanation:

here is a screenshot of them plotted on a graph on

Answer:

5

Step-by-step explanation:

no give me brainliest lol

Answer:

answer is 140.

Step-by-step explanation:

if you do 60 x 5, you get 300.(close to 350)

then if you do 24 x 5 = 120, and the closest answer to that 1 is 140.

-7x+4>-10

cancel out 4 by subtracting on both sides

-7x>-14

Now divide

-7x>-14

/-7  /-7

x>2

---

hope it helps

Answer:

Step-by-step explanation:

volume of cone = πr²h/3

= 3.14×4²×5/3 = 84 m³

Answer:

by the -16 did you mean to put a + sign or is that a t

Answer:

1,620

Step-by-step explanation:

Answer:

C. because it does not contain a equal sign. please matk me as the brainliest. Please...

9514 1404 393

Answer:

  3.4%

Step-by-step explanation:

The total amount due is ...

  A = P(1 +rt/12) . . . . . principal P, annual rate r, t months

  33829.50 = 28500(1 +66/12r)

  1.187 = 1 +5.5r . . . . . divide by 28500, simplify

  0.185/5.5 = r = 0.034 = 3.4%

The interest rate on the loan is 3.4%.

Answer:

The graph flips over the x-axis

Answer:

The scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.

Step-by-step explanation:

In order to find the answer, you need to multiply the amount that the chef uses per serving for the number of servings. The statement indicates that the chef uses ​one- fiftieth of an ounce of a spice per serving and this is represented as 1/50 and you have to multiply this for 43 that is the number of people.

You can find 1/50 as a decimal dividing 1 by 50:

1/50=0.02

Now, you can multiply this value for 43:

0.02=43=0.86

According to this, the answer is that the scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.

Some times it's really very easy to answer the problem just by looking over the given problem.

For the given graph, we need to observe some(or any) point on the graph that can conclude anything to answer the given problem.

Generally we observe x or y-intercepts of the graph first.

Let us observe the y-intercept of the given graph, because we can see a clear picture of y-intercept there.

By looking on the graph, we can see y-intercept is at -1.

Note: y-intercept is a point on y-axis where value of x is 0.

Now let us observe the given functions in the given options.

First option: If we plug x=0 in the given function, we get f(0)=0.

So, y-intercept for first option is 0.

Second option: If we plug x=0, we get a negative -1 inside radical. Cube root of -1 is -1. On multiplying by -1 we get +1.

So, y-intercept for second option is 1.

Third option : If we plug x=0 in that function, we get 0-1 = -1.

So, the y-intercept for third function is -1.

Therefore, function in third option is the correct function for given graph.

Therefore, third option [tex]f (x) = \sqrt[3]{-x} -1[/tex] is correct option.

F(x) =  ∛-x   -1

A polynomial equation with a 3-exponent greatest exponent is called a cubic equation. Despite having many more uses for understanding more complex mathematics, such as calculus, cubic equations are frequently employed to calculate volumes.

Given a graph of a cubic function for calculating the cubic function we need to standardize it. since it's a single aggregate graph that standard function would be.

x = a(y + 1 )³

for the value y tends to -1. "a" will be  -1.

Hence,

x = -1 (y+1)³

(y + 1 )³ =  -x

y+1  =  ∛-x

y = ∛-x   -1

Therefore, for the given graph F(x) = y = ∛-x   -1.

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Answer:the farmer paid $70 for each cow!

Step-by-step explanation:

$420 divided by 6 =70 therefore he paid $70 per each cow!Hoped this helped!

Answer:

1/216

Step-by-step explanation:

6^-3=1/216

Answer:

Total surface area of the pyramid is 236.16cm² and the expression is

2bs + s²

Step-by-step explanation:

Total surface area of a square pyramid is expressed as;

TSA = 2bs + Base Area

b is the side length  of the base = 8.2cm

s is the slant height of the triangular side = 10.3cm

Base area = s²

Base area = 8.2²

Base area = 67.24cm²

TSA = 2(8.2)(10.3)+67.24

TSA = 168.92+67.24

TSA = 236.16cm²

Hence the total surface area of the pyramid is 236.16cm² and the expression is 2bs + s²

Step-by-step explanation:

Number 1

For parallelism.....

gradient of the two lines is the same

y = 3/2x -4

y = mx + C

m = 3/2

(-1, 0) = (x1, y1)

y - y1 = m(x - x1)

y - 0 = 3/2[x - (-1)]

y = 3/2(x + 1)

2y = 3x + 3

y = 3/2x + 3/2

Option A

Number 2

For parallelism.....

gradient of the two lines is the same

y = -½x + 2

y = mx + c

m = -½

(-2, -1) = (x1, y1)

y - y1 = m(x - x1)

y - (-1) = -½[x - (-2)]

y + 1 = -½(x + 2)

2(y + 1) = -(x + 2)

2y + 2 = -x - 2

2y = -x - 2 - 2

2y = -x - 4

y = -½x - 2

Option A

Number 3

For perpendicularity... m1 × m2 = -1

y = 4/3x - 5

y = mx + c

m1 = 4/3

m2 = -1/m1

m2 = -1/(4/3)

m2 = -3/4

(3, -1) = (x1, y1)

y - y1 = m2(x - x1)

y - (-1) = -¾(x - 3)

y + 1 = -¾(x - 3)

4(y + 1) = -3(x - 3)

4y + 4 = -3x + 9

4y = -3x + 9 - 4

4y = -3x + 5

y = -¾x + 5/4

Option A

Number 4

For perpendicularity... m1 × m2 = -1

y = -5x + 5

y = mx + c

m1 = -5

m2 = -1/m1

m2 = -1/-5

m2 = ⅕

(5, 4) = (x1, y1)

y - y1 = m(x - x1)

y - 4 = ⅕(x - 5)

5(y - 4) = x - 5

5y - 20 = x - 5

5y = x - 5 + 20

5y = x + 15

y = ⅕x + 15/5

y = ⅕x + 3

Option C

Answer:

tysm bestie

Step-by-step explanation:

Answer:

[tex]q = -\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]3(q +\frac{4}{3} ) = 2\\3q + 4 = 2\\3q = 2 - 4\\3q = -2\\q = -\frac{2}{3}[/tex]

Answer:

1124

Step-by-step explanation:

1323

The area of the triangle △ABC is 12 square units.

The question is incomplete. The actual question is

Triangle ABC is symmetric about the y-axis. Point A is located at (-3,0), and AB is the longest side of ABC. If the perimeter of ABC is 16, what is the area?

Symmetrical forms or figures are things that can have a line drawn through them so that the representations on both sides of the line mirror each other.

As could be seen in the figure the triangle  △ABC is symmetric along the y-axis. Hence, the side AC and BC must be of the same length let us call it 'a'. Also, the coordinate of B must be (3,0) because (3,0) is the reflection of (-3,0) corresponding to the y-axis.

And, the length of AB=6 units because the distance between (-3,0) and (3,0) is 6 units.

Now, the perimeter of the triangle is 16 units. Therefore,

2a+6=16

⇒a=(16-6)/2

⇒a=5 units.

Hence, we have an isosceles triangle △ABC we can find the height 'h' of the triangle using the Pythagoras theorem. Consider the triangle  △ACE
then we have that

the height of the right triangle  △ACE= h

the base of the right triangle  △ACE= 3 units

the hypotenuse of the right triangle  △ACE= a = 5 units.

Hence, by Pythagoras' theorem

h²+3²=5²

⇒h²=25-9=16

⇒h=4 (we choose the positive value of h because length is always positive)

Hence, the area of the triangle △ABC is

(1/2)×base×height

=(1/2)×AB×CE

=(1/2)×6×4 unit²

=12 unit²

Hence, the area of the triangle △ABC is 12 square units.

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9514 1404 393

Answer:

Step-by-step explanation:

The percentages total 100%, so the missing percentage is

  100% - 60% = 40%

The numbers on the number lines are proportional, so now you can write ...

  ?/100% = 28/40% . . . . . . ? total students

Multiplying by 100% gives ...

 ? = 28/0.4 = 70 . . . . . total students

Then the 60% portion of students can be found two ways:

  60% × 70 = 42 students . . . . 60% of students

  70 -28 = 42 students

Answer:

A) y = -5/2x - 2

Step-by-step explanation:

y = slope + y-intercept

The slope is negative and the y-int is -2, thus the first option.