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

Un par de zapatos más dos pantalones valen $ 70.000 en una tienda. Se ofrece una oferta, al comprar dos o más pares de zapatos del mismo precio se descuenta un 10% en cada par y por tres o más pantalones del mismo precio un 15% en cada pantalón. Juan paga por tres pantalones $ 38.250 y luego, compra dos pares de zapatos. ¿Cuánto pagó Juan por los dos pares de zapatos?

Answers

Answer:

49.5 $

Step-by-step explanation:

Comencemos por lo siguiente:

Si llamamos  x al precio del  par de zapatos  y  "y"  al precio de cada pantalón, entonces la tienda ofrece:

un par de zapatos   x    más dos pantalones   2*y  en  70.000 $  (deben ser 70 $ pero esa cifra no importa a los fines de resolver el problema, habrá solo que hacer el ajuste correspondiente, en lo que aqui respecta hablaremos de 70 $)

Entonces  de acuerdo a lo expuesto

x  +  2y  =  70         or    y  =  ( 70 - x) /2      (1)

Esa es la condición inicial.

Ahora bién  Juan paga por tres pantalones  38.25 $

Eso quiere decir ( como los pantalones son iguales) que pago 38.25/3 por cada pantalón

38.25/3  =  12.75 $

Ahora bién ese precio tubo una rebaja del precio original del 15 % ( quiere decir que el precio original de cada pantalón es de

12.75/0.85  =  15 $            x =  15 $

Entonces si nos vamos a la ecuación (1) (alli los precios son originales) tenemos que

y  =  ( 70  - x ) / 2       y  =  ( 70 - 15 ) / 2    y  = 55/2     y  =  27.5 $

Ahora Juan paga por dos pares de zapatos donde según las ofertas de la tienda el debera tener un descuento del 10 % en cada par

Por lo que si  un par cuesta  27.5 $  le darán un descuento del 10% es decir pagará  27.5 *0.9 =   24.75  por cada par, como son dos pares

pagará 2 * 24.75  =   49.5 $

Which equation in slope-intercept form represents a line that passes through the point (5,−1) and is parallel to the line y=2x-7?

Answers

Answer:

y = 2x - 11

Step-by-step explanation:

y = 2x + b

-1 = 2(5) + b

-1 = 10 + b

-11 = b

Find the other endpoint of the line segment with the given endpoint and midpoint. I
nearest tenth.
Endpoint (-8, 8) Midpoint (5,-3)

Answers

The answer is (18,-14)

To get from (-8,8) to (5,-3) we can make into a transformation. T(x,y) = (x + 13,y - 11), so we just apply that transformation a second time to get (18, -14).

What is the approximate value of x. Enter only a numeric answer rounded to the nearest tenth

Answers

Answer:

14.9 degrees

Step-by-step explanation:

For this problem you can use Tan∅=o/a and solve for the angle:

15.7 / 59 = 0.2661

Then use inverse tangent of 0.2661 to get 14.9.

picture for question

Answers

Answer:

pretty sure it would be 90 degrees

Which of the following is a solution to 2sin^(2)x+sinx-1=0
45\deg
200\deg
240\deg
270\deg
330\deg

Answers

Hello,

[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]

Answer A : 45°

Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?

Answers

There are 6 numbers on the dice, rolling a 3 would be 1/6

Multiply total rolls by probability of getting a 3:

132 x 1/6 = 132/6 = 22

The answer: 22 times.

A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?

Answers

Answer:

43.6 (approximately)

Step-by-step explanation:

Diagonal measures of the screen is,

√(35²+26²)

= √(1901)

= 43.6 (approximately)

Answered by GAUTHMATH

We calculate the dioglonal using the Pythagorean theorem

[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]

which of the following equations describes the line
check all that apply (1,9) (-2, 3) A. y - 1 = 2(X-9) B. Y- 2 = 2(x-3) c. y - 3 = 2(x + 2) D. Y-3 = 2(x - 2) E. y + 2 = 2(x-3) F. - 9 = 2(x - 1)​

Answers

The equation of the line that connects the two points (1,9) and (-2,3) is,

y = 2x+7

or, y-3=2x+4

or, y-3=2(x+2)

So, option c, is the correct option

Answered by GAUTHMATH

Talia wants to find the amount of sugar that will fit in a box that is 4 inches long, 2 inches wide, and 6 inches high. What measurement does she need to calculate?

A)the perimeter of the box
B)the volume of the box
C)the width of the box
D)the area of the box

Answers

Answer:

B)the volume of the box

Explanation:

The volume represents the measurement of the inside of the box which is where the sugar will go.

Answer:

C) the volume of the box

:)

determine which two values the following expression is between.

Answers

Answer:

Between 12.8 and 12.9

Step-by-step explanation:

Firstly, we would need to get the value of the surd

So we have this as;

2 √41 = 12.81

Now, looking at the options, we can see that it lies between 12.8 and 12.9; this is our answer

Darcy's harvests 8 3/4 acres of corn every 5/6 hours. How much corn can she collect in a hour. ? =Amount of acres of corn done in a hour.

Answers

Answer:

Step-by-step explanation:

Acres of corn harvested : time taken = 8 3/4 : 5/6

How much corn can she collect in a hour. ?

Let

x = Acres of corn harvested

Acres of corn harvested : time taken = x : 1

8 3/4 : 5/6 = x : 1

35/4 : 5/6 = x : 1

35/4 ÷ 5/6 = x/1

35/4 × 6/5 = x/1

35*6/4*5 = x/1

210/20 = x/1

210 * 1 = 20 * x

210 = 20x

x = 210/20

= 10 1/2 acres

x = Acres of corn harvested = 10 1/2 acres

Twice a number minus 25 is less than 89. Translate it into an inequality and find the solution

Answers

Answer:

2x-25<89

x<57

Step-by-step explanation:

2x-25<89

2x<89+25

2x<114

Divide by 2...

x<57

Hope this helped! Please mark brainliest :)

the first three terms of a series of which the nth term is 2n+1.​

Answers

Answer:

3, 5, 7

Step-by-step explanation:

Substitute n = 1, 2, 3 into the nth term rule

a₁ = 2(1) + 1 = 2 + 1 = 3

a₂ = 2(2) + 1 = 4 + 1 = 5

a₃ = 2(3) + 1 = 6 + 1 = 7

Answer:

3, 5, 7

Step-by-step explanation:

n = 1, 2, 3 into the nth term rule

a₁ = 2(1)+1=2+1=3

a2=2(2)+1=4+1=5

a3 = 2(3)+1=6+1=7

4x+9/y+11=0 and 6/y -3x=8​

Answers

9514 1404 393

Answer:

  (x, y) = (-2 12/17, -51)

Step-by-step explanation:

Here is the answer to ...

  [tex]4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8[/tex]

If you mean something else, then parentheses are needed.

__

Let z = 1/y. Then the equations in general form are ...

  [tex]4x+9z+11=0\\3x-6z+8=0[/tex]

The solution (cross multiplication method) is ...

  x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17

  z = (11·3 -8·4)/-51 = -1/51

  y = 1/z = -51

The solution is (x, y) = (-2 12/17, -51).

PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:


A) (.....+2a)^2=.....+12ab+4*....


B) (3x+.....)^2=....*x^2+.....+49y^2

Answers

Answer:

I only have the answer for B

Step-by-step explanation:

This is the answer: 1st blank: 7y

2nd blank: 9

3rd blank: 42xy

A manufacturer knows that their items have a normally distributed length, with a mean of 10.2 inches, and standard deviation of 1.8 inches. If 25 items are chosen at random, what is the probability that their mean length is less than 9.8 inche

Answers

Answer:

P [ X ≤  9.8 ]  = 0.1335

Step-by-step explanation:

P [ X ≤  9.8 ]  =  [ ( 9.8  - 10.2 )/1.8√25 ]

P [ X ≤  9.8 ]  =  - 0.4*5/1.8

P [ X ≤  9.8 ]  = - 2 / 1.8

P [ X ≤  9.8 ]  =  - 1.11

From z- table we get:  α  =  0.1335

P [ X ≤  9.8 ]  = 0.1335   or   P [ X ≤  9.8 ]  = 0.1335

What is the order of rotational symmetry of a regular pentagon?

Answers

Answer:

yeet

Step-by-step explanation:

urmom

Sorry just needed points

b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?​

Answers

Answer:

The answer would be D

Step-by-step explanation:

I did the quiz

Step-by-step explanation:

n(u)=200

no(A)=80

no(B)=75

ii) Using both brand=200-80-75

=45

iii)n(A)=80+45

=125

iv)n(B)=75+45

=120

A baseball diamond is a square that is 90 feet on each side. How far is it from home plate to second base? Round to the nearest hundredth.
90.50 feet
97.50 feet
107.28 feet
127.28 feet

Answers

Answer:

[tex]\sqrt{90^2 + 90^2}[/tex]

= 127.2792206

Step-by-step explanation:

Answer: 127.28 feet.

Step-by-step explanation:

It’s actually 127.2792206 feet, but rounded to the nearest hundredth, it’s 127.28 feet. Hope I helped!

(17)^ 3 *(289)^ -6 =(17)^ 2m - 1​

Answers

Answer:

m = -4

Step-by-step explanation:

The given expression is :

[tex](17)^{3}\cdot(289)^{-6}=(17)^{2m-1}[/tex]

We need to find the value of m

We know that, 17² = 289

So,

[tex](17)^{3}\cdot(17^2)^{-6}=(17)^{2m-1}\\\\(17)^{3}\cdot(17)^{-12}=(17)^{2m-1}[/tex]

Also,[tex]x^ax^b=x^{a+b}[/tex]

So,

[tex]17^{3-12}=17^{2m-1}\\\\17^{-9}=17^{2m-1}\\\\\implies -9=2m-1\\\\-9+1=2m\\\\-8=2m\\\\m=-4[/tex]

So, the value of m is equal to -4.

A savings account for a car is set up with an initial balance of $1500, and 250 is added every month (no other
transactions occur on the account). Write the expression: Write the equation equal to the $5,000 car goal: M=
1. How long will it take:

Answers

Answer:

ok so first we subtract 1500

5000-1500=3500

3500 divided by 250= 14

So it will take 14 months

Hope This Helps!!!

One group of new freshmen is given a study-skills training course during the first week of college and a second group does not receive the course. At the end of the semester, the grade point average is recorded for each student. For this study, what is the dependent variable

Answers

Answer:

The dependent variable is the grade point average recorded for each student.

Step-by-step explanation:

The dependent variable is defined as the variable that is to be tested or even measured in an experiment.

In this question, At the end of the semester, the variable that is being tested is the grade point average for each student.

Thus it is the dependent variable.

will make brainliest, please help​

Answers

-5x+4y=2
9x-4y=6

eliminate the 4y as a positive 4 + negative 4 =0
this will leave you with
-5x=2
9x=6
add them
4x=8
divide both sides by 4

x=2


to find y, plug in x=2 for any one of the original equations

-5(2)+4y=2
-10+4y=2

add 10 to both sides

4y=12

divide both sides by 4

y=3

the final answer is (2,3)

PLS HELP(algebra 1)
solve -7 + 18(17h + 19)

Answers

Answer:

335+306h

Step-by-step explanation:

solve the brackets first by distributing 18 to 17h and 19

-7+306h+342

then group the like terms

-7+342+306h

335+306h

CO
Evaluate the function for an input of 0.
x
f(x)
-2
0
IX-2
0
-1
3
3
O
4
4
1
3
2.
0

Answers

Answer:    4

Explanation:

Refer to row three of the table. The table shows that when x = 0, we have f(x) = 4. This is the same as saying f(0) = 4.

Answer:

the answer

-2 0-2

Find the measure of the angle indicated.
1
2
4
3
151°
6
8
7
The measure of angle 7 is

Answers

............................

...............................................................................................................................................................................................................................................................................................................

I do not understand any of this

Answers

Answer:

to get the slope. take the change of y axis value divide by the change of x axis value

Help and explain pls and thankyouuu

Answers

Answer: (1, 8)

Step-by-step explanation:

Substitute y = 3x + 5 into the equation 2x + 3y = 26:

2x + 3(3x + 5) = 26

2x + 9x + 15 = 26

11x = 26 - 15

11x = 11

x = 1

Substitute the value of x into the equation y = 3x + 5:

y = 3(1) + 5 = 3 + 5 = 8

bobby drove 110 miles and his car used 5 gallons of gas. How many miles can he drive with 16 gallos of gas

Answers

Answer:

Bobby can drive 352 miles with 16 gallons of gas.

Step-by-step explanation:

110 miles uses 5 gallons of gas.To find how many miles can be driven with one gallon we divide 110 by 5.

110 ÷ 5 = 22

Therefore to find the amount of miles that can be driven with 16 gallons we multiply 16 × 22 = 352

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