Find the equation of the line passing through (-7, 13) with a slope of -2. Write your answer in slope-intercept form.

Answer:

Step-by-step explanation:

Margin of error = Z * √p(1-p)/n

z is the z score at 95% confidence = 1.96

p = 0.72

1-p = 0.28

Substitute and get n

Margin of error = Z * √p(1-p)/n

0.06 = 1.96 * √0.72(0.28)/n

0.06/1.96 = √0.72(0.28)/n

0.0306² = 0.2016/n

n = 0.0306²/0.2016

n =0.2016/0.00093636

n = 215.3

Hence the random sample is about 215

5th term of an AP = 31

9th term = 59

the sum of the first 14 terms of an arithmetic sequence

We know that,

nth term of an AP – a(n) = a + (n - 1)d

Hence,

⟹ a + (5 - 1)d = 31

⟹ a + 4d = 31 -- equation (1)

Similarly,

⟹ a + (9 - 1)d = 59

⟹ a + 8d = 59 -- equation (2)

Subtract equation (1) from (2).

⟹ a + 8d - ( a + 4d ) = 59 - 31

⟹ a + 8d - a - 4d = 28

⟹ 4d = 28

⟹ d = 28/4

⟹ d = 7

Substitute the value of d in equation (1).

⟹ a + 4(7) = 31

⟹ a + 28 = 31

⟹ a = 31 - 28

⟹ a = 3

Now,

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

⟹ S(14) = 14/2 * [ 2(3) + (14 - 1)(7) ]

⟹ S(14) = 7 [ 6 + 91 ]

⟹ S(14) = 7 * 97

⟹ S(14) = 679

∴ The sum of first 14 terms of the given AP is 679.

I hope it will help you.

Regards.

Answer:

tell me why do you like crystal math:)

Step-by-step explanation:

Answer:

I think you mean with a e but always stay in school kids

Step-by-step explanation:

Step-by-step explanation:

Hey there!

The given point is (-2,4) and slope is 2/5.

While finding the eqaution which has slope and point always use one point formula.

(y-y1) = m(x-x1)

Keep all values.

(y - 4) = 2/5(X+2)

Therefore, the equation is (y-4) = 2/5(X+2).

Hope it helps....

Answer:

8

Step-by-step explanation:

4 + 2³- |-4|

~Take the absolute value of -4

4 + 2³- 4

~Simplify the exponent

4 + 8 - 4

~Add

12 - 4

~Subtract

8

Best of Luck!

Answer:

8

Step-by-step explanation:

Do the cube of 2, which equals 8

Add 8 to 4 and you get 12

Absolute value of -4 is 4

Subtract 4 from 12 and you get 8

Answer:

1000000

Step-by-step explanation:

Estimated product = 2000 * 500

= 1000000

Answer:

It's the fourth one.

Step-by-step explanation:

The greater than or equal to means closed dot. The less than means open dot.

The line graph second represents the solution to the inequality which is x ∈ [-3, 3) option second is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have an inequality:

x ≥ –3 and x < 3

Here the and means intersection.

The solution of the x in the interval notation form:

x ∈ [-3, 3)

The line graph second represents the solution to the inequality.

Thus, the line graph second represents the solution to the inequality which is x ∈ [-3, 3) option second is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

Answer: it's 7.

Step-by-step explanation:

Answer: D 353

Step-by-step explanation:

you can do it on math calculus calulator

Answer:

170x hopes this helps

Step-by-step explanation:

Answer:

Supplementary

Step-by-step explanation:

They add up to 180 degrees

Answer:

50 degrees

Step-by-step explanation:

Answer:

y= -1.5 + 3x

Step-by-step explanation:

Answer:

y=3x−1.5

I hope this helpssss

Answer: "Like terms" are terms whose variables (and their exponents such as the 2 in x^2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

Step-by-step explanation: Hope this helped

Answer:

215

Step-by-step explanation:

239 x .10 = 23.9

239 - 23.9 = 215.1

then to round it would be 215!

Answer:

A: y-4=2/5 (x+2)

Step-by-step explanation:

Answer: The length is 16 meters and the width is 3 meters.

Step-by-step explanation:

Since we know the length and w, we will represent the length by l and the width by w.

We know the length is 13 more than the width so we will represent it by the equation   l =  w + 13  .

The width will be represented by w.

We know the area of a rectangle is the length being multiplied by the width.

Since we know the area, multiply the length by the width and set it equal the area and solve for w.

w(w+ 13) = 48     Multiply on the left side

w^2 + 13w = 48       subtract 48 from both sides

         -48      -48

w^2 + 13w - 48 = 0  Now find two numbers that their product is -48 and their                                sum 13.

The numbers 16 and -3 works, because 16* -3 = -48  and  16 + (-3) = 13.

Rewrite the whole equation in this form.

w^2 + 16w -3w - 48 = 0  Now factor on the left side.

w(w + 16) -3(w+16) = 0      Factor out w+16

(w+16)( w-3) = 0   Now set each of the expressions to equal to 0 and solve for w.

w+ 16 = 0     or   w-3 = 0

  -16     -16              +3  +3

w = -16      or          w = 3

-16 can't be use to represent distance so w has to equal 3 and this means the width is 3.

The length is 13 meters more than the width so 3 + 13 will be the width.

l = 3 + 13

l = 16

Answer:

1x=8 is the answer

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

subtract nine both sides

9x — 1 = 10x + 9

-9.   -9.    -9.   -9

0.   -10.    1.    0

1x is the same as x

x=-10

Answer:

870,722

Step-by-step explanation:

Answer:

870,000

Step-by-step explanation:

When rounding lets take this problem as an example, you need to rely on the number that is right from it. In this case, it will be the number 3. Any number that is below 4 will be 870,000, any number that is above a 5 will be 880,000. Also note that rounding is always going to be 1-10 not 1-5. What I mean is people will do the mistake and say 873,711 will be rounded to 875,000 which is incorrect.

Answer:

E

Step-by-step explanation:

Start by distributing:

y - 3 = 1/2(6-2x)

y - 3 = 3 -x

Add three to both sides:

y = 6 - x

Rearrange to make it look like an equation of a line:

y = -x + 6

Now all you have to do is plug in the points to see which point makes both side equal to one another. When you plug in (4,2), you get 2=2 which shows that that point is on the line.

Answer:

probably c

Step-by-step explanation:

add 7 to 18 and you get 25 and so on

Answer:

El mayor contenido de miel de caña que puede contener el modelo semiesférico es aproximadamente 261.328 centímetros cúbicos.

Step-by-step explanation:

Sabemos que el volumen del modelo para la elaboración de la panela es directamente proporcional al cubo del radio de la esfera. Dado que el perímetro del círculo máximo ([tex]p_{max}[/tex]), medido en centímetros, es conocido, podemos obtener el radio del modelo según la siguiente fórmula:

[tex]r = \frac{p_{max}}{2\pi}[/tex] (Eq. 1)

Donde [tex]r[/tex] es el radio de la semiesfera, medido en centímetros.

([tex]p_{max} = 31.4\,cm[/tex])

[tex]r = \frac{31.4\,cm}{2\pi}[/tex]

[tex]r \approx 4.997\,cm[/tex]

Ahora, el mayor contenido de miel de caña que puede contenerse en el modelo semiesférico obedece a esta expresión:

[tex]V = \frac{2\pi}{3}\cdot r^{3}[/tex] (Eq. 2)

Donde [tex]V[/tex] es el volumen ocupado por la miel de panela, medido en centímetros cúbicos.

Si conocemos que [tex]r \approx 4.997\,cm[/tex], entonces ese volumen ocupado es:

[tex]V = \frac{2\pi}{3}\cdot (4.997\,cm)^{3}[/tex]

[tex]V\approx 261.328\,cm^{3}[/tex]

El mayor contenido de miel de caña que puede contener el modelo semiesférico es aproximadamente 261.328 centímetros cúbicos.

Answer:

$27.20

Step-by-step explanation:

we can rule out the others because they logically just dont make sense-

Using domain concepts, it is found that the two most known functions that do not have a domain of all real numbers are fractions and even roots.

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A similar problem is given at https://brainly.com/question/13136492

Answer:

it might be 7 or 10.69

Step-by-step explanation:

4÷42.78=10.69

Answer:

10020000

Step-by-step explanation:

Can i have Brainliest? Plz!!!