Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,… A. 5 B. -5 C. −15 D. 15

Answer:

C

Step-by-step explanation:

Determine the nature of the solutions using the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct solutions

• If b² - 4ac = 0 then 2 real and equal solutions

• If b² - 4ac < 0 then no real solutions\

Given

2p² + 9p - 7

with a = 2, b = 9, c = - 7 , then

b² - 4ac = 9² - (4 × 2 × - 7) = 81 +56 = 137

Since b² - 4ac > 0 then there are 2 real solutions → C

Answer:

C. 2

Step-by-step explanation:

2p² + 9p - 7 = 0

p = {-9±√((9²)-(4*2*-7))} / (2*2)

p = {-9±√(81+56)} / 4

p = {-9±√137} / 4

p = {-9±11.7} / 4

p₁ = {-9-11.7} / 4 = -20.7/4 = -4.55   aprox.

p₂ = {-9+11.7} / 4 = 2.7/4 = 0.67     aprox.

This equation have 2 real solutions:

-4.55   aprox.

0.67      aprox.

Answer:

Yes

Step-by-step explanation:

Because 12/18 = 2/3..(cancel 12 and 18 by 6)

Answer:

yes

Step-by-step explanation:

2x6=12

3x6=18

6 is the multiplying number

( the 2 equations are the same amount )

Greetings from Brasil...

Its attached the diagram of the situation.....

The ground is 8 feet from the bottom edge of the window

We start by representing the building, the ladder and the ground in a sketch.

See attachment for diagram

From the diagram, the distance (d) from ground to the bottom edge of the window is calculated using Pythagoras theorem:

10^2 = d^2 + 6^2

Evaluate the squares

100 = d^2 + 36

Evaluate the like terms

d^2 = 64

Take the square root of both sides

d = 8

Hence, the ground is 8 feet from the bottom edge of the window

Read more about Pythagoras theorem at:

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Answer:

100.66 is the decimal.

Step-by-step explanation:

100⅔ = 302/3

302 ÷ 3 = 100.66 to infinity.

Answer:

y = 4/3x - 3

Step-by-step explanation:

slope = (-2 - 4)/(7 - -1) = -6/8 = -3/4

perpendicular slope  = 4/3

midpoint (-1 + 7)/2, (4 + -2)/2

(3, 1)

y = mx + b

1 = 4/3(3) + b

1 = 4 + b

-3 = b

y = 4/3x - 3

Answer:

Step-by-step explanation:

Given three elements A, B and C related together according to the expression A(B+C), according to distributive property, the element A will be distributed to the rest of the element as shown;

A(B+C) = A(B)+A(C)

A(B+C) = AB + AC (Law of distributivity)

Given the expression according to the question (1−2g+4h)⋅5, in order to use the distributive law to find the equivalent expression, we will use the concept above as shown;

= (1−2g+4h)⋅5

= 5.(1−2g+4h)

= 5(1)-5(2g)+5(4h)

= 5 - 10g + 20h

Hence the equivalent expression using the distributive property is 5 - 10g + 20h

Answer:

5 - 10g + 20h

Answer:

A - 672

Step-by-step explanation:

Any number divisible by both 3 and 2 is divisible by 6.

Answer:

1. 98.7 km

2. 303.5 degree

Step-by-step explanation:

Using the alternate angle, the angle at B will be 50 + 10 = 60 degree.

To calculate the length AC of the returning journey, use cosine formula to calculate it.

To find the bearing of the returning journey, use sine rule to calculate it.

Please find the attached file for the solution

Answer:

6

Step-by-step explanation:

78

Answer:

A. g(x)= 1/3x²

Step-by-step explanation:

The graph of the function g(x) has a point (3,3) on it.

So

Let's check which of the answer choices is correct:

B. g(x)= (1/3x)²

C. g(x) = 1/9*x²

D. g(x)= 3x²

Correct choice is A. g(x)= 1/3x²

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

    Hi my lil bunny!

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( -Screen Shot 1 is for (A) and Screen Shot 2 is for (B) - )

A) [tex]9x + 3y = -3[/tex]

= [tex]y = -3x -1[/tex]

Xmin: -10

Xmax: 10

Ymin: -10

Ymax: 10

~~~~~~~~

B) [tex]2x - y = -4[/tex]

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

Xmin: -10

Xmax: 10

Ymin: -10

Ymax: 10

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

y= -3x-1 and y=2x+4

Step-by-step explanation:

1. Rearrange the equations to the proper format which would be y=mx+b.

2. You can do this by adding or subtracting on both sides

- start with the first equation. subtract 9x on both sides.

- than divide 3 on both sides

- next equation subtract 2x on both sides

- divide -1 on both sides

which would get you y=-1-3x and y= 4+2x.

3. reagrange this equation again ( this step isn't always necessary)

you will get y= -3x-1 and y=2x+4

Remember M stand for the slope so your slopes for these two equations would be -3/1 and 2/1. Think about rise over run when you use slope. B is the y-intercept which means it will touch the y-axis.

Hope this helped!

Answer:

$120

Step-by-step explanation:

According to the information in the statement and taking into account that the price for renting the limo is fixed, you can say that the cost of renting the limo for 12 people is equal to the cost of renting it for ten. Then, the cost for 12 people is 12 for the cost per person which is equal to 10 for the cost per person and you can express it as follow:

x is the cost per person when the limo is rented by 10 people.

12*(x-2)=10*x

You can solve for x:

12x-24=10x

12x-10x=24

2x=24

x=24/2

x=12

Now that you have the cost per person when the limo is rented by 10 people, you can multiply this value for 10 to find the cost of renting the limo for the evening:

12*10=120

The answer is that the limo cost $120 for the evening.

Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y

Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows

Answer:

∠ G = 121°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 3x + 25 + x - 5 = 180 , that is

5x + 20 = 180 ( subtract 20 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

Thus

∠ G = 3x + 25 = 3(32) + 25 = 96 + 25 = 121°

Answer:

121

Step-by-step explanation:

Answer:

{ 11, -4, -29}

Step-by-step explanation:

5(-2) + y = 1

-10 + y = 1

y = 11

5(1) + y = 1

y = -4

5(6) + y = 1

30 + y = 1

y = -29

Answer:

The Range is the set: { -29, -4, 11 }

Step-by-step explanation:

You need to apply the given function to the x-values of the Domain, to find what values of the Range they are associated with. So let's start by isolating y on one side of the expression:

y = 1 - 5 x

Now let's find what values they result when x = -2, 1, and 6:

y = 1 - 5 (-2) = 1 + 10 = 11

y = 1 - 5 (1) = 1 - 5 = -4

y = 1 - 5 (6) = 1 - 30 = -29

Therefore the Range is the set: { -29, -4, 11 }

Answer:

La opción correcta es;

Estudiante 2, ya que está aproximadamente a 32,39 metros de distancia

Step-by-step explanation:

Los parámetros dados son;

La distancia entre los dos estudiantes = 53 metros

El ángulo medido entre la línea del Estudiante 1 a la caja fuerte y el Estudiante 1 y el Estudiante 2 = 37 °

El ángulo medido entre la línea del Estudiante 2 a la caja fuerte y el Estudiante 2 y el Estudiante 1 = 43 °

Dado que los dos estudiantes y la caja fuerte forman los vértices de un triángulo, tenemos;

Sea θ el ángulo del triángulo opuesto a la distancia entre los dos estudiantes

Por lo tanto;

θ + 43 ° + 37 ° = 180 ° (teorema de suma de ángulos)

θ = 180 ° - (43 ° + 37 °) = 100 °

Por regla del seno, tenemos;

a / (sin (A) = b / sin (B)

Por lo tanto;

53 / (sin (100 °)) = b / (sin (37 °)) = c / (sin (43 °))

Lo que da;

b = (sin (37 °)) × 53 / (sin (100 °)) = 32,39 metros

c = (sin (43 grados)) × 53 / (sin (100 grados)) = 36,7 metros

Por lo tanto, el Estudiante 2 está más cerca, ya que está aproximadamente a 32,39 metros de distancia.

Answer:

They either both have to be positive or negative.

Step-by-step explanation:

1 / 1 = 1

-1 / -1 = 1

This gets you positive, when both dividend and divisors are positive or negative.

-1 / 1 = -1

1 / -1 = -1

This gets you negative, when both dividend and divisors are different signs.

Answer:

Step-by-step explanation:

Both dividend and divisor have same sign -  

(i) both have positive sign  or

(ii) both have negative sign

Eg:

(i) [tex]\frac{10}{2}=5[/tex]

(ii)[tex]\frac{-10}{-2}=5[/tex]

Answer:

10 and seven twenty-fourths (10 7/24)

Step-by-step explanation:

2 1/6 + 8 1/8 =

2 4/24 + 8 3/24 =

10 7/24

a = 18°

we have opposite angles =>

=> 6a + 11 = 2a + 83

6a - 2a = 83 - 11

4a = 72

a = 72 : 4

a = 18°

Answer:

Step-by-step explanation:

[tex]Selling \:price = 3000gh Cedis\\Profit \% = 25\%\\Cost\:price =?\\\\CP =\frac{ ( Selling\:price \times 100 )}{ ( 100 + percentage profit)} \\\\C.P = \frac{3000\times 100 }{100+25}\\\\ C.P = \frac{300000}{125} \\\\Cost\: Price = 2400gh Cedis[/tex]

Answer:

( -1, 1 )

Step-by-step explanation:

For f ( x ) = tan x ;   Range = R (real no.)

Range in interval = ( -1, 1 )

Answer:

Step-by-step explanation:

The graph is below(picture)

● tan Pi/4 = 1

● tan -Pi/4 = -1

So the range is [-1;1]

Answer:

The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.

Step-by-step explanation:

In hypothesis testing, there is  a premise or a claim where an analyst want to test or to investigate in an experiment. In this study, different sampling methods are being carried out.

In hypothesis testing, we usually have the null hypothesis and the alternative hypothesis.

The null hypothesis is an established hypothesis which is usually denoted by [tex]H_o[/tex] and it is a currently accepted value or default  for a parameter.

On the other hand the alternative hypothesis or the research hypothesis denoted by [tex]H_a[/tex] came into place to challenge the study to be tested.

In the given question , the teacher wants to see the difference in the outcome of the test scores if there will be an improvement.  The same is true for hypothesis testing, we tends to see the difference in the test statistics result maybe it is significant or not  in order to determine the conclusion on the null hypothesis.

Answer:

2(5x - 4)(x + 1)

Step-by-step explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x      )(x       )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

Answer:

[tex]\large \boxed{2(5x-4)(x+1)}[/tex]

Step-by-step explanation:

[tex]10x^2 + 2x - 8[/tex]

Rewrite 2x as 10x - 8x.

[tex]10x^2 + 10x-8x - 8[/tex]

Factor out the two groups.

[tex]10x(x+1)-8(x+1)[/tex]

Take x+1 as a common factor.

[tex](10x-8)(x+1)[/tex]

Factor 10x - 8.

[tex]2(5x-4)(x+1)[/tex]

Answer:

x=(t+m)/b is the answer

Step-by-step explanation:

Hope it will help :)

Answer:

x =  t(b-m)

Step-by-step explanation:

x/t + m =b

subtract m from each side

x/t +m-m = b-m

x/t =b-m

Multiply each side by t

x/t *t = t(b-m)

x =  t(b-m)

============================================

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232  = -168*cos(A)

-151  = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = arccos(0.8988095)

A = 25.9979801

A = 26 degrees approximately

The angle m∠A will be 27. so option C is correct.

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

u² = s² + t² - 2(s)(t)·cos U

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232  = -168*cos(A)

-151  = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = 25.9979801

A = 26 degrees approximately

Therefore, the angle m∠A will be 27. so option C is correct.

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Answer:-24

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

−4|−3−3|

First find the value inside the absolute value

−4|-6|

Absolute value means take the non-negative value

-4 * 6

Multiply

-24

Answer:

9

Step-by-step explanation:

Consider the polygon to consist of 2 rectangles, rectangle X (The bigger rectangular) and Y(the smaller rectangle), as shown in the diagram attached below.

To find DE + EF, let's find each lengths as follows:

DE = BC - FA

DE = 9 - 5 = 4

EF = AB - DC

EF = 8 - DC (we don't know DC)

Let's find out DC by considering the area of the entire polygon to derive an equation that will enable us to find DC.

Area of a rectangle = L*B

Therefore:

Area of the polygon = Area of rectangle X + Area of rectangle Y

Area of Polygon = (AB*FA) + (DE*DC)

52 = (8*5) + (4*DC)

52 = 40 + (4*DC)

Subtract 40 from both sides

52 - 40 = 4*DC

12 = 4*DC

Divide both sides by 4 to make DC the subject.

12/4 = DC

3 = DC

DC = 3

Thus,

DE + EF = (BC - FA) + (AB - DC)

= (9 - 5) + (8 - 3)

= 4 + 5

= 9

Answer: Absolute Value

Step-by-step explanation:

The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.

Examples:

|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.

|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.

|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.

|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.

Answer:

Hello! I hope I am correct! (Picture below)

Step-by-step explanation:

Function:

Y=15-2x

The word “decreased” means subtraction & The word “twice” means 2x (2 times)

Therefore, the answer is 15-2x.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Look at picture.

Brainliest would be appreciated!

Hope this helps!

By: BrainlyAnime

Answer:

Step-by-step explanation:

Sin(A) = 8/10

Cos(A) = 6/10

Sin(B) = 15/17

Cos(B) = 8/17

Cos(A+B) = 6/10 * 15/17 - 8/10  * 8/17

Cos(A +B) = 90/170 - 64/170

Cos(A + B) = 26/170