Fill in the missing number to complete the linear equation that gives the rule for this table. Explain/show how you got your answer in
as much detail as you can.

Answer:

The new line will be parallel to the line represented by y =2x +2

The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:

y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

3 = 2 * (-1) + b

3= -2 + b

b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:  y = 2x + 5

(Hope it can help)

Answer:

y=2x+5

Step-by-step explanation:

hope you understood

Answer:

SYNTAX ERROR

Step-by-step explanation:

Answer:

696

Step-by-step explanation:

Answer:

YOU DID THAT TEST? samee

Step-by-step explanation:

Answer:

Step-by-step explanation:

No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.

Answer:

no

Step-by-step explanation:

because 3/4 equals to 0.75 or 75%

1/4 = 0.25 or 25%

2/4 or 1/2 = 0.50 or 50%

3/4 = 0.75 or 75%

4/4 or 1 = 1 or 100%

Answer:

6500

Step-by-step explanation:

KCF

3250/1 ÷ 1/2

3250/1 x 2/1

3250 x 2=  6500

1 x 1 = 1

final answer 6500/1 or 6500

Answer:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

Step-by-step explanation:

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Let θ be the angle of elevation of the line of sight from the horizontal. Since the hot air balloon is rising at a speed of 100 m/min, its vertical distance in time, t is d = vt = 100t.

Since the point of the observer is 200 m away( the horizontal distance), then tanθ = vertical rise/horizontal distance = 100t/200 = t/2

tanθ = t/2

To find the rate of change of the angle of elevation, we differentiate with respect to t.

So, dtanθ/dt = d(t/2)/dt

sec²θdθ/dt = 1/2

dθ/dt = 1/(2sec²θ)

At 600 m high, tanθ = vertical rise/horizontal distance = 600 m/200 m = 3

Given that tan²θ + 1 = sec²θ

dθ/dt = 1/(2sec²θ)

dθ/dt = 1/(2[tan²θ + 1])

Since tanθ = 3

dθ/dt = 1/(2[tan²θ + 1])

dθ/dt = 1/(2[3² + 1])

dθ/dt = 1/(2[9 + 1])

dθ/dt = 1/(2[10])

dθ/dt = 1/20

dθ/dt = 0.05 rad/min

Learn more about rate of change of angle of elevation here:

https://brainly.com/question/13932041

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

Answer:

ummm.... -2 ? because both lines are parallel they have the same slope

Answer:

16 + 10 ÷ 2

Step-by-step explanation:

We adding 16 to 10. So, 16 + 10. We then divide it by two. So, it is 16 + 10   2

Answer:

Question 6

[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]

Question 7

The width is 2x.

Step-by-step explanation:

                                           Question 6)

Expand

[tex](5a+2)(a+4)[/tex]

solving to the expand

[tex](5a+2)(a+4)[/tex]

[tex]a=5a,\:b=2,\:c=a,\:d=4[/tex]

so the expression becomes

[tex]=5aa+5a\cdot \:4+2a+2\cdot \:4[/tex]

[tex]=5aa+5\cdot \:4a+2a+2\cdot \:4[/tex]

[tex]=5a^2+20a+2a+8[/tex]

adding similar elements: 20a+2a=22a

[tex]=5a^2+22a+8[/tex]

Hence,

[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]

                                                  Question 7)

Given

Using the formula

width = Area/Length

          [tex]=\:\frac{8x^2}{4x}[/tex]

          [tex]=2x[/tex]                  ∵ [tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2[/tex]

Therefore, the width is 2x.

Answer:

$72,000

Step-by-step explanation:

6000-5000=1000

1000x6 =6000

6000x12=72,000

Answer:

0.0066

Step-by-step explanation:

Given that:

Mean [tex]\mu[/tex] = 75

Variance [tex]\sigma^2 =961[/tex]

The standard deviation [tex]\sigma = \sqrt{961} = 31[/tex]

The sample size n = 100

[tex]\mu = \mu_{\overline x} = 75[/tex]

[tex]\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}[/tex]

[tex]\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}[/tex]

[tex]\sigma _{\overline x} = \dfrac{31 }{10}}[/tex]

[tex]\sigma _{\overline x} = 3.1[/tex]

[tex]P(\overline x > 83.7) = 1 - P( \overline x < 83.7)[/tex]

[tex]P(\overline x > 83.7) = 1 -P\bigg ( \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)[/tex]

[tex]P(\overline x > 83.7) = 1 -P\bigg ( Z< \dfrac{7.7}{3.1} \bigg)[/tex]

[tex]P(\overline x > 83.7) = 1 -P ( Z< 2.48)[/tex]

Using the Z table;

P(x > 83.7) = 1 - 0.9934

P(x > 83.7) = 0.0066

Thus, probability = 0.0066

Answer:

SU, TU, ST

Step-by-step explanation:

Given:

<S = 7x - 36,

<T = 5x - 1,

<U = x + 9

First, find the value of x

(7x - 36) + (5x - 1) + (x + 9) = 180° (sum of ∆)

7x - 36 + 5x - 1 + x + 9 = 180

Collect like terms

13x - 28 = 180

Add 28 to both sides

13x = 180 + 28

13x = 208

Divide both sides by 13

x = 16

Next, find the measure of each angle.

<S = 7x - 36,

Plug in the value of x

m<S = 7(16) - 36 = 76°

<T = 5x - 1,

m<T = 5(16) - 1 = 79°

<U = x + 9

m<U = 16 + 9 = 25°

The size of each angle of a triangle is tells how much longer or shorter the length of the side opposite it is. The greater the degree of am angle, the longer the side, and vice versa.

Thus.

The largest angle in ∆STU is <T, which is opposite to side SU. This means the greatest side is SU.

The medium angle is <S, which is opposite to side TU. This means side TU is the medium side.

The smallest angle is <U, which is opposite to side ST. This means the least side would be ST.

From greatest to the least, the sides of ∆STU are:

✅SU, TU, ST

Answer:

you can get some fries and chickent aint enough for me keep it going people

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent

Step-by-step explanation:

I'm not sure the answer

Answer:

2lb 32 oz.

Step-by-step explanation:

because 2=5 so 8=32  

32 divided by 2 =16 so 32 oz  2lb

Answer:

Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. ... Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.

Step-by-step explanation:

Answer:

Photosynthesis

Step-by-step explanation:

Answer:

You have to draw we cant draw 4 you sorry i cant help

Step-by-step explanation:

Answer:

BE = 49

Step-by-step explanation:

In triangle BDC

  65^2=56^2+BD^2

  65^2-56^2=BD^2

  4225-3136=BD^2

  1089=BD^2

   33=BD

In triangle FDE

    65^2=63^2+DE^2

    4225-3969=DE^2

    256 = DE^2

    16=DE

since ED+DB=BE

THEREFORE

      16+33=BE

         49=BE

Answer:

a

[tex]P(N_g) = 0.5155[/tex]

b

 [tex]P(K ) = 0.36364[/tex]

c

[tex]P(U1 | N_y ) = 0.7223[/tex]  

Step-by-step explanation:

From the question we are told that

  The number of green marbles in Urn 1 is  [tex]N_g = 4[/tex]

   The number of yellow marbles in Urn 1 is [tex]N_y = 5[/tex]

   The number of green marbles in Urn 2 is  [tex]n_g = 7[/tex]

   The number of yellow marbles in Urn 1 is [tex]n_y = 4[/tex]

    The probability of choosing Urn 1 is  [tex]P(U1) = 0.63[/tex]

    The probability of choosing Urn 2 is [tex]P(U2) = 1- 0.63 =0.37[/tex]

Generally the total marble in Urn 1 is  

     [tex]N_t = N_g +N_y[/tex]

=>  [tex]N_t = 4 + 5[/tex]

=>  [tex]N_t = 9[/tex]

Generally the total marble in Urn 2 is  

     [tex]n_t = n_g +n_y[/tex]

=>  [tex]n_t = 7+4[/tex]

=>  [tex]n_t = 11[/tex]

Generally the probability of choosing green marble is

     [tex]P(N_g) = P(U1 ) * \frac{N_g}{N_t} + [P(U2 ) * \frac{n_g}{n_t} ][/tex]

=>   [tex]P(N_g) = 0.63 * \frac{4}{9} + [0.37 * \frac{7}{11} ][/tex]

=>   [tex]P(N_g) = 0.5155[/tex]

Generally  the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen is mathematically represented as

     [tex]P(K ) = \frac{n_y}{n_t}[/tex]

=>   [tex]P(K ) = \frac{4}{11}[/tex]

=>   [tex]P(K ) = 0.36364[/tex]

Generally the probability of choosing yellow marble is

     [tex]P(N_y) = P(U1 ) * \frac{N_y}{N_t} + [P(U2 ) * \frac{n_y}{n_t} ][/tex]

=>   [tex]P(N_y) = 0.63 * \frac{5}{9} + [0.37 * \frac{4}{11} ][/tex]

=>   [tex]P(N_y) = 0.4845[/tex]

Generally  the  probability that Urn 1 was chosen, if it is known that a yellow marble was drawn is mathematically represented as

     [tex]P(U1 | N_y ) = \frac{ P( U1 \ n N_y)}{P(N_y)}[/tex]

=>   [tex]P(U1 | N_y ) = \frac{0.63 * [\frac{5}{9} ] }{0.4845 }[/tex]

=>   [tex]P(U1 | N_y ) = 0.7223[/tex]      

Answer:

4.66 billion

Step-by-step explanation:

Answer:

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Step-by-step explanation:

Answer:

275 miles

Step-by-step explanation:

Answer:

Initial temperature = 20° C

Temperature after 18 minutes = 4° C

Step-by-step explanation:

Function representing the relation in the temperature of the soda and time has been given as,

T(x) = [tex]-8+28e^{-0.045x}[/tex]

Here x = number of minutes since the can was placed in the cooler

For initial temperature of the soda,

x = 0,

T(0) = [tex]-8+28e^{(28\times 0)}[/tex]

      = -8 + 28(1)

      = 20° C

For the temperature after 18 minutes,

x = 18,

T(18) = [tex]-8+28.e^{-0.045\times 18}[/tex]

       = [tex]-8+28.e^{(-0.81)}[/tex]

       = [tex]-8+12.456[/tex]

       = 4.456 C

       ≈ 4° C

Answer:

61=x ( vertical opposite angle)

61=y (corresponding angle)

Step-by-step explanation:

y = 61°( corresponding angles)

x = y = 61°(vertically opposite angles)

Answer:

-2 or -5

Step-by-step explanation:

( shown in photo below )