match each step to its justfication to solve 2x+5=19.

Dividing each term in the given series by 0.315 reveals a simple geometric sum,

0.315 (1 + 1/1,000 + 1/1,000,000 + …)

or

0.315 (1 + 1/10³ + 1/10⁶ + …)

or

[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]

i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that

[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]

if |r | < 1. This is the case here, so

0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)

… = (315/1000) / (999/1000)

… = 315/999

… = 35/111

Mark Brainliest please

Answer:

38 degrees

Step-by-step explanation:

Let the angle be x

Supplement:: 180-x

Equation:

x = 180-x + 104

2x = 284

x = 142 degrees

therefore , 180-x = 180-142= 38 degrees

Answer:

10

Step-by-step explanation:

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.

  r = 480/768 = (5·96)/(8·96) = 5/8

The common ratio is 5/8.

Answer:

22 units

Step-by-step explanation:

split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units

Answer:

log(4).

Step-by-step explanation:

By the law of logarithms:

log(8) - log(2)

= log(8/2)

= log(4).

Answer:

what number?

number three or number two

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{x+7}{3} =\frac{2x+4}{4}[/tex]

do cross multiplication

[tex]3(2x+4) = 4(x+7)\\6x + 12 = 4x + 28\\6x - 4x = 12 - 16\\2x = 16\\x = 16/2\\x = 8[/tex]

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

please attach a diagram

Answer:

16=/-4+3+2

16=/-1jhcdf why

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Answer:

(2y+3)

Step-by-step explanation:

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

Answer:

Step-by-step explanation:

seven more than the quotient of a number and 2 is 10

7+n/2=10 n=6 check 7+3=10 ok

Answer:

No choices listed.

Step-by-step explanation:

Answer:

25.12 cm

Step-by-step explanation:

circumference= 2pi*r

3.14x8x2= 50.24

50.24/2= 25.12 cm

Or you could have just done 3.14 x8 which equals 25.12 as well

Answer: 5.5. if you divide you will clearly see it is 5.5 so D

Step-by-step explanation:

Answer: x=-3

Step-by-step explanation:

First let's eliminate the square root

[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]

Now subtract [tex]x^2\\[/tex] from both sides

[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]

Subtract 2 from both sides

[tex]-5x+2-2=17-2\\-5x=15[/tex]

Finally divide both sides by -5

[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]

Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are [tex]3[/tex]

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]

If the order matter, then

[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]

The probability that 1 woman and 1 man will be chosen is "0.6".

According to the question, the club has nominated:

Now,

→ The number of ways to select two persons from 6 will be:

= [tex]\binom{6}{2}[/tex]

hence,

The probability that one woman and one man will be chosen will be:

→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]

                                              [tex]= 3\times \frac{3}{15}[/tex]

                                              [tex]= \frac{9}{15}[/tex]

                                              [tex]= 0.6[/tex]

Thus the above answer is right.

Learn more:

https://brainly.com/question/13419138

Answer:

Hola busco amigos

Perdí mi otra cuenta

Ayúdame y te ayudo con tus tareas

¿ si?

Step-by-step explanation:

Answer:

The roots for [tex]f(x) = \cos 4x - 4\cdot x^{2} + 9\cdot x[/tex] are [tex]x_{1} = -0.098[/tex] and [tex]x_{2} = 2.166[/tex], respectively.

Step-by-step explanation:

A root is a value of [tex]x[/tex] so that [tex]f(x) = 0[/tex]. Let suppose that function is the consequence of the subtraction between two functions, that is:

[tex]f(x) = g(x) - h(x)[/tex] (1)

If we know that [tex]f(x) = 0[/tex], [tex]g(x) = \cos 4 x[/tex] and [tex]h(x) = 4\cdot x^{2}-9\cdot x[/tex], then we have the following identity:

[tex]g(x) = h(x)[/tex]

We can estimate graphically the roots of [tex]f(x)[/tex] by graphing the following system:

[tex]y = \cos 4x[/tex] (2)

[tex]y = 4\cdot x^{2}-9\cdot x[/tex] (3)

Where roots are the points in which functions find each other.

With the help of a graphing, we estimate two solutions:

[tex](x_{1}, y_{1}) = (-0.098, 0.924)[/tex], [tex](x_{2}, y_{2}) = (2.166, -0.725)[/tex]

Answer:

6

Step-by-step explanation:

Foot long = 1 foot

6 / 1 = 6 foot pieces

Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

Answer:

0.00000003

Step-by-step explanation:

2+ 7 * 4 - 5 = 25

(3/6) ^ 25 = 0.00000003

Answer:

C(s) = total cost function

$5,500 base price to rent trucks

$250 per ton of sugar to be transported

Total Cost = Price per ton of sugar * # of tons + total cost to rent trucks

C(s) = $250s + $5,500

For 14 tons of sugar the total cost would be:

C(s) = $250(14 tons) + $5,500

C(s) = $9,000

Total cost to transport 14 tons of sugar would cost $9,000

Answer:

Total Cost = 29x + 0.32y

Step-by-step explanation:

It is 29x since you pay $29 per day, and x represents the number of days.

It is 0.32y since you pay $0.32 per mile, and y represents the number of miles.

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row