The next number in the sequence -5,-2,4,13 is 25. Is this conjecture ruse or false ?

A. False
B. Not enough info provided.
C. True

Answer:

g = ±2h

Step-by-step explanation:

4g^2 -1= 16h^2 -1

Add 1 to each side

4g^2 -1+1= 16h^2 -1+1

4g^2 = 16h^2

Divide each side by 4

4/4g^2 = 16/4h^2

g^2 = 4 h^2

Take the square root of each side

sqrt(g^2) = ±sqrt(4h^2)

g = ±sqrt(4h^2)

g = ±2h

Answer:

The error was in step 3

Step-by-step explanation:

The first two steps are correct, the property of addition of internal angles of a triangle that equal [tex]180^o[/tex] is properly used, Also the addition of supplemental angles to total  [tex]180^o[/tex] is also properly used.

In step 3. there is an error. Notice how it should have been done:

[tex]\angle m+\angle n +\angle o=180^o\\\angle o + \angle p = 180^o\\then:\\\angle m+\angle n +\angle o=180^o=\angle o+\angle p\\\angle m+\angle n +\angle o=\angle o+\angle p[/tex]

Answer:

y24

Step-by-step explanation:

thats what i think, sorry if im wrong have a nice day

Answer:

16

Step-by-step explanation:

Triangle area = (1/2)*b*h

Base = b = 4

Height = h = 8

Area = (1/2) * 4 * 8 =  16

The area of the polygon shown in the figure is 16 unit square.

A polygon is a closed figure made up of three or more line segments connected end to end.

Triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

WE can see from the given figure;

The Base = b = 4

The Height = h = 8

The Area of figure = (1/2) * 4 * 8

The Area of figure =  16

Hence, the area of the polygon shown in the figure is 16 unit square.

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Answer:

[tex]x=1/2[/tex]

Step-by-step explanation:

[tex]27 = 3^{4x+1}[/tex]

[tex]3^3 = 3^{4x+1}[/tex]

[tex]3=4x+1[/tex]

[tex]2=4x[/tex]

[tex]2/4=x[/tex]

The value of x in the given equation is 1/2

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is an equation, [tex]27 = 3^{4x+1}[/tex]

Solving for x,

3³ = [tex]3^{4x+1}[/tex]

Therefore,

3 = 4x+1

4x = 2

x = 2/4

x = 1/2

Hence, the value of x in the given equation is 1/2

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Answer:

Question 4. Option C,

Question 5. Option A

Step-by-step explanation:

Question 4.

Take a look at the procedure below;

[tex]34 / 5 = x / 6,\\34 * 6 = 5 * x,\\204 = 5 * x,\\\\x = 40.80\\\\Conclusion - Option C[/tex]

To solve this problem, you could have to cross - multiply, and through simple algebra, isolate x.

Question 5.

If Becky charges an amount per hour per baby, to determine the total amount she would earn, multiply the number of hours by the number of babies taken care of, and multiply that amount by the cost she demands per hour per baby;

[tex]Children = 3,\\Hours = 5,\\Amount Charged = 7,\\\\Profit = 3 * 5 * 7 = 105 Dollars,\\\\Conclusion - Option A[/tex]

Answer:

Use the quadratic formula

x = [-b  +- sqr root (b^2 - 4*a*c)] / 2a

x = [-3 +- sqr root (9 - 4*1*-7)] / 2

x = (-3 +- sqr root (37) / 2

x1 = 1.5414

x2 =  -4.5414

Step-by-step explanation:

Answer:

I just took the test here's the answer

Step-by-step explanation:

Answer:

6.25 cm

Step-by-step explanation:

[tex]\rho=\dfrac{m}{V} \\\\V_{\text{pyramid}}= A_{\text{base}}\cdot h \cdot \dfrac{1}{3} \\\\1.6=\dfrac{400}{V} \\\\V=120 \cdot h \cdot \dfrac{1}{3} \\\\1.6=\dfrac{400}{40h} \\\\1.6=\dfrac{10}{h} \\\\1.6h=10 \\\\h=\dfrac{10}{1.6}=6.25\text{ cm}[/tex]

Hope this helps!

Answer:

1.2 cm

Step-by-step explanation:

Im so sorry if this is incorrect

Answer:

[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]

Step-by-step explanation:

The expression given is:

[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]

Difference of two squares:

[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]

The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.

Given :

[tex]f(x) = 5x^4-80[/tex]

The following steps can be used in order to determine the factors of the given function:

Step 1 - Write the given function.

[tex]f(x) = 5x^4-80[/tex]

Step 2 - Take out 5 as common in the above function.

[tex]f(x) = 5(x^4-16)[/tex]

Step 3 - Now, try to factorize the above function.

[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]

From the above steps, it can be concluded that the correct option is B).

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Answer:

12

Step-by-step explanation:

We just plug in 8 for x and 3 for y which gives us 1/2 * 8 * 3 = 12.

Answer:

12

Step-by-step explanation:

1/2(8)(3)

4(3)

12

Answer:

x=100

Step-by-step explanation:

Because they are vertical angles, AEG=FEB

You can see that FED+DEB=FEB

Therefore, 80+20=FEB=100

Since FEB=100 and FEB=AEG

AEG=100

Answer:

100°

Step-by-step explanation:

In this question, vertical angles are key. If you didn't know, vertical angles are basically opposites of each other. A pair of vertical angles are equal.

ACE = 20°

FED = 80°

FED and CEG are vertical angles (+the 20 from ACE), so your answer is 100°

hope this helps, brainliest is appreciated.

Answer:

x=8in

Step-by-step explanation:

Let the unknown side=xin

Hypotenuse^2=opposite^2+adjacent^2

Hyp=17in

Opp=xin

Adj=15in

Hyp^2=opp^2+adj^2

17^2=x^2+15^2

17^2-15^2=x^2

289-225=x^2

64=x^2

x=√64

x=8in

Answer:

d) √2/2

Step-by-step explanation:

cos∠E= 5/5√2= 1/√2=√2/2

Correct option is d)√2/2

Answer:

Step-by-step explanation:

Given

[tex]z(14x -2y)=7[/tex]

Required;

Solve for x, when

[tex]z(14x -2y)=7[/tex]

Divide both sides by z

[tex]\frac{z(14x -2y)}{z} = \frac{7}{z}[/tex]

[tex]14x -2y = \frac{7}{z}[/tex]

Add 2y to both sides

[tex]14x -2y + 2y= \frac{7}{z} + 2y[/tex]

[tex]14x = \frac{7}{z} + 2y[/tex]

Divide both sides by 14

[tex]\frac{14x}{14} = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

The above expression is the value of x when [tex]z\neq 0[/tex]

To solve for when z = 0, we simply substitute 0 for z

[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

[tex]x = \frac{1}{14}(\frac{7}{0} + 2y)[/tex]

0 cant't divide any number; hence, from the above expression we conclude that

[tex]x = \ u\ n\ d\ e \ f\ i \ n\ e\ d[/tex]

or

x doesn't have a solution

Answer:

Your answer is mean absolute deviation.

Step-by-step explanation:

Answer:

The required number of outcomes is 4 and the last option is correct.

Important information:

From the given tree diagram, it is clear that the total number of outcomes is 6.

The numbers greater than 1 on the spinner are 2 and 3.

The outcomes that result in a number greater than 1 on the spinner are:

heads, 2

heads, 3

tails, 2

tails, 3

Therefore, the required number of outcomes is 4 and the last option is correct.

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Answer:

[tex]x=-28[/tex]

Step-by-step explanation:

[tex]x+5=-23\\x=-23-5\\x=-28[/tex]

Answer:

x = -28

Step-by-step explanation:

x-(-5) = -23

Subtracting a negative is adding

x+5 = -23

Subtract 5 from each side

x+5-5 = -23-5

x = -28

Answer:

x < 5.1

Step-by-step explanation:

Let's define:

Using Law of Sines we can find x, as follows:

10/sin(95°) = 8/sin(α)

sin(α) = sin(95°)*8/10

α = arcsin(0.8) = 53.13°

β = 180° - 95° - 53.13° = 31.87°

x/sin(β) = 10/sin(95°)

x = 10/sin(95°)*sin(31.87°)

x = 5.3

On the other hand, we know that the addition of the two shorter sides of a triangle must be greater than the long side of the triangle. Therefore:

8 + 5.3 > 3x - 2

Solving:

8 + 5.3 + 2 > 3x  

15.3/3 > x

5.1 > x

or

x < 5.1

The value of x from the given inequality is x < 5.1

Inequality expressions are expressions that are not equal to each other

Given the following variables;

Using the sine law to determine the value of x

10/sin(95°) = 8/sin(α)

sin(α) = sin(95°)*8/10

α = arcsin(0.8) = 53.13°

β = 180° - 95° - 53.13° = 31.87°

x/sin(β) = 10/sin(95°)

x = 10/sin(95°)*sin(31.87°)

x = 5.3

Also, using the rule that states that the addition of the two shorter sides of a triangle must be greater than the long side of the triangle. Hence;

8 + 5.3 > 3x - 2

8 + 5.3 + 2 > 3x  

15.3/3 > x

5.1 > x

x < 5.1

Hence the value of x from the given inequality is x < 5.1

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Answer:

2

Step-by-step explanation:

-8/2 ÷ 6 / -3

Copy dot flip

-8/2 * -3/6

Simplify the fractions

-4 * -1/2

-4 / -2

2

Answer:

[tex] (2)[/tex]

Answer B is correct

Step-by-step explanation:

[tex] \frac{ - 8}{2} \div \frac{6}{ - 3} \\ \frac{ - 8}{2} \times \frac{ - 3}{6} \\ = \frac{ 24}{12} \\ = (2)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]\frac{y}{y+x}[/tex]

First option

Answer:

1/4

Step-by-step explanation:

# of black marbles/ total # of marbles

3/(3+4+5)

3/12

1/4

Answer:

1/4

Step-by-step explanation:

3 black marbles, 4 white marbles and 5 striped marbles. = 12 marbles

P(black) = number of black / total

             =3/12

               =1/4

Answer: 1018 sq. mm.

Step-by-step explanation:

Area = πr^2

= π x 18^2

= 324π

The required area of a circle is 1018 millimeters² with a diameter of 36 millimeters.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

As per the question, we have

The diameter of the circle = 36 millimeters

The radius of the circle = diameter/2

The radius of the circle = 36/2 = 18 millimeters

The area of the circle = πr²

The area of the circle = π × 18²

The area of the circle = 3.14 × 324

The area of the circle = 1018

Thus, the required area of a circle is 1018 millimeters² with a diameter of 36 millimeters.

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Answer:

Area = 25cm²

Step-by-step explanation:

Given

Length of a square = 4.89cm

Required

Estimate the area of the square

The question says that the length of the side of the square be approximated to 1 significant figure.

When 4.89cm is approximated, it gives 5cm.

At this point, the area of the square can be estimated.

Area = Length * Length

Area = 5cm * 5cm

Area = 25cm²

Hence, the estimated area of the square is 25cm²

Answer:

x = - 3, y = - 6

Step-by-step explanation:

Given the 2 equations

- 14x = - 72 - 19y → (1)

9x =  87 + 19y → (2)

Add the 2 equations term by term to eliminate the y- term

- 5x = 15 ( divide both sides by - 5 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (2)

9(- 3) = 87 + 19y

- 27 = 87 + 19y ( subtract 87 from both sides )

- 114 = 19y ( divide both sides by 19 )

- 6 = y

Thus x = - 3, y = - 6

Answer:

bce

Step-by-step explanation:

Answer:

B: Both boundary lines are solid.

C: A solution to the system is (1, 3).

E: The boundary lines intersect.

Edg 2020

Answer:

x=2

Step-by-step explanation:

5x - 6(x + 1) + 8 = 0

Distribute

5x -6x-6+8 =0

Combine like terms

-x+2 = 0

Add x to each side

-x+2+x = 0+x

2 =x

2563[tex]\pi[/tex]

Step-by-step explanation:

Answer: its C

Step-by-step explanation:

Answer: Number 3 is the correct answer.

Step-by-step explanation:

Answer:

[tex]Initial- Velocity = 0\\Final- velocity = 25m/s\\Time = 6.0\\Acceleration = \frac{Final-velocity-initial-velocity}{time} \\Acceleration = \frac{25-0}{6} \\Acceleration = \frac{25}{6} \\Acceleration = 4.167[/tex]

Step-by-step explanation: