Self Practice 5.3
1. Find the sum of the following arithmetic progression.

(a) -20, -15, -10, ..., 100

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Have a phd in mathematics! Congrats on your first question!!!! Send me a brainlist :)


Related Questions

The combined mass of two children is 75lbs. The first child is four times the mass of the second child. What are the masses of the two children?

Answers

The second child is about 19lbsif you want to round it otherwise it's 18 something lbs, so the first child is about... 57.
first child would be 60 lb and the second is 15

Will mark brainlest helpppp pleaseeeee​

Answers

Answer:

come to mya massanger dk khanal fb user

Step-by-step explanation:

i will teach you by sending picture


[tex]solve \: this \: \\ \\ 2a + 5b + 7a + 3b - 2a + 3c[/tex]

Answers

Answer:

7a + 8b + 3c

Step-by-step explanation:

Group together like terms and simplifyy

Answer:

7a + 8b + 3c

Step-by-step explanation:

2a + 5b + 7a + 3b - 2a + 3c

= 2a - 2a + 7a + 5b + 3b + 3c

= 7a + 8b + 3c

Helpppppp!!!!!!!!!!and explain too

Answers

Answer:

Relation

Explanation:

The definition of a relation is just a set of ordered pairs.

A function is a relation in which each domain element is paired with exactly one range element.  

It can't be a function because if it is a vertical line, then the x-value is the same for the whole line.

I hope that helps a bit

Find the value of x.
A. About 57.6
B. About 42.6
C. About 12.6
D. About 27.6

Answers

Answer:

about 27.6

Step-by-step explanation:

The sum of interior angles for this rectangle is 1080

119+140+124+6x+132+132+102 = 1080 add like terms

749 + 12x = 1080 subtract 749 from both sides

12x = 331 divide both sides by 12

x = 27.6 approximately

Isosceles trapezoid EFGH has area 80 cm ^2, height 20 cm and legs 22 cm. One of the bases is 5 cm. How long is the remaining base ?

Answers

Answer:

3

Step-by-step explanation:

A = [tex]\frac{base1 + base2}{2}[/tex] x h     Formula

[tex]\frac{base1 + 5}{2}[/tex] x 20 = 80      Substitution

[tex]\frac{base1 + 5}{2}[/tex] = 4                 Work  (divide by 20, multiply by 2, subtract 5)

base1 + 5 = 8

base1 = 3                  Solution

Which polynomial function has a root of 1 with
multiplicity 2 and a root of 6 with multiplicity 1?
Of(x) = (x - 1)(x – 6)
O f(x) = 2(x - 1)(x – 6)
O f(x) = (x - 1)(x - 1)(x – 6)
O f(x) = (x - 1)(x - 6)(x-6)

Answers

Answer:

The 3rd:

f(x) = (x - 1)(x - 1)(x – 6)

Step-by-step explanation:

Its roots are the x-values for which f(x)=0, that are:

x1=1

x2=1

x3=6

Four friends all give each other presents
The total costs of presents is £80.52
Work out the mean cost of presents in pounds

Answers

It would be 20.13 pounds

A can of cashews mixed with almonds costs $24.60. Cashews cost $4.25//lb and almonds cost $3.80/lb. There are twice as many cashews as almonds in the can. How many pounds of each type are in the can?

Answers

Answer: 2 and 4 lb

Step-by-step explanation:

Given

There are twice as many cashews as almonds in the can

Cashews costs [tex]\$4.25\ lb[/tex]

Almonds costs [tex]\$3.80\ lb[/tex]

Can costs $24.60

Suppose there are x lb almonds, so there is 2x lb cashews

[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]

Amount of cashews =4 lb

Amount of almonds =2 lb

The area of a rectangle is 35ft^2 , and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

1228 is your answer

Step-by-step explanation:

Circumference of a circle with a diameter of 15 inches.

Answers

Answer:

Cir = d[tex]\pi[/tex]

C = 15[tex]\pi[/tex]

Step-by-step explanation:

Answer:

Exact Answer: 15π inches

Decimal Answer: 47.1 inches

Step-by-step explanation:

The unit is inches because circumference is one dimension.

1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius

2.) dπ=15π

3.) 15 × 3.14⇒approximate answer

a set has 62 proper subsets how many elements has it for?

Answers

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

[tex] {2}^{n} [/tex]

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

[tex] {2}^{n} = 64[/tex]

[tex] {2}^{n} = {2}^{6} [/tex]

Comparing both sides

[tex]n = 6[/tex]

Find the measure of each angle indicated.
23)

A) 125°
C) 120°
B) 110°
D) 112°

Answers

Answer:

B

Step-by-step explanation:

The exterior angles of the triangle sum to 360° , then

? + 107° + 143° = 360°

? + 250° = 360° ( subtract 250° from both sides )

? = 110° → B

i need help asap like right now!!! MWEN BEZWEN ÈD AK MATEMATIK MWEN AN. ​

Answers

Answer:

i guess it is "not enough information"

please help me i need this asap

Answers

Answer:

-2, -1

Step-by-step explanation:

B is the answer for you. Have a good day!

Please help asap 15 points that's more than usual just solve the question.

Answers

Answer:

1/n^2 is the answer......

What is the
No solution, one solution, and infinitely solutions
to the equation 2x+5+2x+3x=3x+5?

Answers

Answer:

one solution

Step-by-step explanation:

If (1/2)^n = 32, then what is n?

Answers

Answer:

2.32*10^-10

Step-by-step explanation:

n will change its position with 32

(1/2)^32=n

n=2.32*10^-10

Evaluate x^-2 for x = -3 plsss i really need help on this thank you

Answers

Answer: -1/9

Step-by-step explanation:

Answer:

- 1/9 OR -0.111....

Step-by-step explanation:

Make x= -3

-3^-2= -1/9

The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

160°

Step-by-step explanation:

Let one angle be x

Let second angle be 8x

Sum of supplementary angles = 180°

x+ 8x = 180°

9x = 180

x = 180/9 = 20

First angle= x= 20°

Second angle = 8x = 8*20 = 160°

Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.

Answers

Answer:

32, 34

Step-by-step explanation:

The answer must be grater than 30 so 30 is not an option the integers in the range are 31, 32, 33, and 34 the only even integers in this set are 32, and 34. Hope this helps. :)

Write an explicit formula for…

Answers

Answer:

aₙ = 11 - 3(n - 1)

Step-by-step explanation:

Arithmetic Explicit Formula: aₙ = a₁ + (n - 1)d

a₁ = First term

d = Common difference

n = Term number

The first term of the sequence is 11 and the common difference is -3.

Therefore, the explicit formula of the sequence is aₙ = 11 - 3(n - 1).

someone please please help me!

Answers

Answer:

[tex]mDE=90[/tex]°

Step-by-step explanation:

In this problem, one is asked to find the measure of the arc in degrees. This problem provides one with a diagram since the center is unnamed, call the center point (O). One is given the information that angle (<DOE) has a measure of (90) degrees. One is asked to find the degree measure of the surrounding arc (DE).

The central angles theorem states that if an angle has its vertex on the center of a circle, the degree measure of the angle is equal to the degree measure of the surrounding arc. One can apply this here by stating the following:

[tex]m<DOE = mDE\\[/tex]

Substitute,

[tex]90=mDE[/tex]

Which of the following is the equation of the quadratic function below?

Answers

Answer:

C y=x^2+2x+1

Step-by-step explanation:

round off to nearest 100 to 221​

Answers

Step-by-step explanation:

hope helps you

have a good day

What is the coefficient of x3 in the expansion of (2x−3)5?

Group of answer choices

a) -360

b) 720

c) 10

d) -5

e) -120

Answers

Answer:

B 720

Step-by-step explanation:

same process as the previous image I sent ya

Answer:

B) 720.

Step-by-step explanation:

We can use the Binomial Expansion Theorem:

[tex]\displaystyle (a+b)^n=\sum_{k=0}^{n}\binom{n}{k}a^kb^{n-k}[/tex]

We have the expression:

[tex]\displaystyle (2x-3)^5[/tex]

Therefore, a = 2x, b = -3, and n = 5.

We want to find the coefficient of . To get x³, we can cube a. Therefore, we can find our coefficient by letting k = 3. Hence:

[tex]\displaystyle \binom{5}{3}(2x)^3(-3)^{5-3}[/tex]

Evaluate:

[tex]\displaystyle =10(8x^3)(9)=720x^3[/tex]

Our answer is B.

what are the lengths of SV and QT? no links.

Answers

ok so we see that TR is 17 units, so RV is the same amount

3x+2 so 3x=15 so divide both sides by 3 we get x=5

now we know x=5 4x+1=21 and 9x-4=41

*drops microphone*

Answer:

TR = 12

=> 3x + 2 =17

=> x = 5

We have QT = QV (because QTV is an isosceles triangle)

=> QT = 4x+1=4x5+1=21 units

We have TS = SV (because TSV is an isosceles triangle)

=>SV = 9x-4= 9x5-4=41 units


15. A line is given by the equation y = 49. What is the equation
of the perpendicular line that passes through the point (12, 35)?
The equation of the line is given by x

Answers

Answer:

x=12

Step-by-step explanation:

Line that's perpendicular to y=49 should be a vertical line of the form x=a

Now the line passes through (12,35) so the equation of the line is,

x=12

Answered by GAUTHMATH

PLEASE HELP ASAP!!!!


Use the graph of ƒ to find x if ƒ(x) = 2.



x = –0.5


x = –8


(–∞, –0.5)


x = 0.5

Answers

Answer:

[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]

h(x) = x2 + 3. Is frl a function and why/why not?
No, the inverse function does not pass the horizontal line test.
No, the inverse function does not pass the vertical line test.
Yes, the inverse function has one y-value for every x-value.
Yes, the inverse function has one x-value for every y-value.

Answers

is good answer the x value and y value

Answer:

No, the inverse function does not pass the horizontal line test.

Step-by-step explanation:

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