what is the solution of

sqrt 2x + 4 equals 16?​

Answer:

Step-by-step explanation:

1)(-3x+10)(50-x)=180

-4x+60=180

-4x=120

x=-30

2)6x+2+2x=90

8x=88

x=11

larger angle: 68°

3) a=3x°

4)(7x-5)=-2x+22

9x=27

x=3

DBE=16°

5)(x-39)=2x-59)

x=20

Answer: x=2

Isolate the variable by dividing each side by the factors that don't contain variables.

Answer:

There is sufficient evidence to support the claim.

Step-by-step explanation:

Given

[tex]\alpha = 0.10[/tex]

Make A

[tex]\bar x_1 = 41[/tex]

[tex]\sigma_1= 4.6[/tex]

[tex]n = 35[/tex]

Make B

[tex]\bar x_2 = 45[/tex]

[tex]\sigma_2 = 4.3[/tex]

[tex]n = 35[/tex]

First, we state the null and alternate hypothesis

[tex]H_0 : \mu_1 = \mu_2[/tex]

[tex]H_1 : \mu_1 \ne \mu_2[/tex]

Next, calculate test statistic:

[tex]z = \frac{(\bar x_1 - \bar x_2)-(\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}[/tex]

[tex]z = \frac{(41- 45)-0}{\sqrt{\frac{4.6^2}{35}+\frac{4.3^2}{35}}}[/tex]

[tex]z = \frac{-4}{\sqrt{0.6046+0.5283}}[/tex]

[tex]z = \frac{-4}{\sqrt{1.1329}}[/tex]

[tex]z = \frac{-4}{1.0643}[/tex]

[tex]z = -3.7583[/tex]

The critical value at [tex]\alpha = 0.10[/tex] is: [tex]\±1.282[/tex]

[tex]-3.7583 < -1.282[/tex]

So, we reject [tex]H_0[/tex]

This implies that; there is sufficient evidence to support the claim.

Answer:

x equals 10, angle measure is 30°

Step-by-step explanation:

By using the Vertical Angles Theorem which states that opposite angles formed by 2 intersecting lines are congruent we can find that the measure of the angle with 3x is equal to the measure of it's opposite angle or 30°. Using this we can make an equation that can find us our answer.

3x = 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Answer:

6h+ (-7.1d) -15+4d-3.4h

Step-by-step explanation:

Answer:

see the attachment, answers there

9514 1404 393

Answer:

  $14.14

Step-by-step explanation:

The amount of interest earned is ...

  I = P((1 +r/365)^n -1) . . . . interest on principal P at annual rate r compounded daily for n days

  I = 3021(1 +0.055/365)^31 -1) ≈ 14.14

$14.14 in interest is earned in 31 days.

Answer:

25

Step-by-step explanation:

Answer:

just shade in the same thing

just shade in the same thing

Answer:

4 is in the one thousands place. The 0 is in the hundredths place. The 7 is in the tenths place.

Answer:

The first part is 5

The maximum it can be is 200

Step-by-step explanation:

Because I said So

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

⇒ y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

⇒ 2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - [tex]\frac{60}{2}[/tex]x) + y + 250 = 0

⇒ 2 ( x² - [tex]\frac{2^{2} *3*5}{2}[/tex]x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

⇒ y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

Learn more about parabola here:

https://brainly.com/question/5527217

#SPJ2

Answer: 732 mi

Step-by-step explanation:

Assuming you meant 24.4

Answer:

Hello your question is poorly written attached below is the complete question

answer : 166.41 kph

Step-by-step explanation:

Given data :

Drone speed = 180 kph

Altitude of drone  = 1 km

distance of motorcycle from drone = 2 km

distance of motorcycle decreases at  200 kph

calculate the speed in kph of the motorcycle

attached below is a detailed solution of the problem

Answer:

7

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

The height of the rock after t seconds is given by the following equation:

[tex]H(t) = -16t^2 + 96t + 112[/tex]

How long will it take in seconds for the rock to hit the ocean?

This is t for which:

[tex]H(t) = 0[/tex]

So

[tex]-16t^2 + 96t + 112 = 0[/tex]

Simplifying by -16

[tex]t^2 - 6t - 7 = 0[/tex]

So a quadratic equation with [tex]a = 1, b = -6, c = -7[/tex]

[tex]\Delta = b^{2} - 4ac = (-6)^2 - 4*1*(-7) = 36 + 28 = 64[/tex]

[tex]t_{1} = \frac{-(-6) + \sqrt{64}}{2*1} = 7[/tex]

[tex]t_{2} = \frac{-(-6) - \sqrt{64}}{2*1} = -1[/tex]

Since time is a positive measure, it will take 6 seconds for the rock to hit the ocean, and the answer is 7.

Answer:

50%

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

from the scale 0-1, 2/8 is closer to 0 because you round 2 down to 0, which gives you 0.

Answer:

264

Step-by-step explanation:

8+(7+1)^2 / 4(1/2)^4

8+ 8^2 / 4(1/2)^4

8+64/4(1/16)

8+64 / 1/4

8 + (64*4)

8+256

264

Answer:

40 feet?

Step-by-step explanation:

11 ft + 3 ft + 4 ft + 6 ft + 3 ft + 3 ft + 4 ft + 6 ft = 40

Answer:

Yes

Step-by-step explanation:

Because you're multiplying by 1 so it stays the same value

Answer:

Step-by-step explanation:

Given

24 = 3(n - 5)

24/3 = n - 5

n- 5 = 8

n = 8+5

n = 13

hope it helps :)

Answer:

n = 13

Step-by-step explanation:

8=n-5

-n=-5-8

-n=-13

n=13

Answer:

C:140

Step-by-step explanation:

because 7 x 5 in the tiangle.

Answer:

23% probability the family has at least 3 children under the age of 21.

Step-by-step explanation:

If a family is selected at random, what is the probability the family has at least 3 children under the age of 21?

15% have three children under the age of 21

5% have 4 children under the age of 21

3% have 5 or more children under the age of 21.

So:

15% + 5% + 3% = 23%

23% probability the family has at least 3 children under the age of 21.

Answer: 5.4

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

Step-by-step explanation:

the answer is 576 cubic centimetre.

Answer:

Its 576 cubic centimeters

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

delta math

The  length of h, to the nearest inch. is 57.4 inch.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, given that,

In ΔGHI, i = 64 inches, g = 91 inches and ∠H=134°

Now. we know that,

a sinA =b sinB =c sinC

We get,

length of h = 57.4 inch.

hence, The  length of h, to the nearest inch. is 57.4 inch.

To learn more on triangle click:

brainly.com/question/29126067

#SPJ2