Find the sum of the geometric sequence. 1, 1/2,1/4,1/8,1/16

Answer: 2/3

Step-by-step explanation: As you can see, the denominators are different so we need to find a common denominator to add these 2 fractions.

We find the common denominator by finding

the common multiple for these 2 denominators.

Multiples of 10

1 x 10 = 10

2 x 10 = 20

3 x 10 = 30

Multiples of 15

1 x 15 = 15

2 x 15 = 30

As you can see, we have a common multiple of 30.

To get 30 in the denominator of 2/10, multiply top and bottom by 3.

To get 30 in the denominator of 7/15, multiply top and bottom by 2.

So we have 6/30 + 14/30 which is 20/30.

20/30 can be reduced to 2/3.

Answer:

Option C.

Step-by-step explanation:

It is given that,

[tex]P(A)=\dfrac{1}{4}[/tex]

[tex]P(B)=\dfrac{13}{20}[/tex]

It is given that events A and B are mutually exclusive. It means they have no common elements.

[tex]P(A\cap B)=0[/tex]

We know that,

[tex]P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

On substituting the values, we get

[tex]P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0[/tex]

[tex]P(A\cup B)=\dfrac{5+13}{20}[/tex]

[tex]P(A\cup B)=\dfrac{18}{20}[/tex]

[tex]P(A\cup B)=\dfrac{9}{10}[/tex]

Therefore, the correct option is C.

The P (A or B) should be [tex]\frac{9}{10}[/tex]

Given that,

Based on the above information, the calculation is as follows:

[tex]= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}[/tex]

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Answer:

your answer is

2 X l+b

2 X 6x + 3x

8x + 10...

-5,3,-2,1 on a number line

<-|----|----|----|----|----|----|----|----|->

-5 -2 0 1 3

Answer:

x = 15.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 28 = 14/x

x  cos 28 = 14

x = 14 / cos 28

x=15.85598

Rounding to the nearest tenth

x = 15.9

Answer:

$60

Step-by-step explanation:

Answer:

60$

Step-by-step explanation:

3 gallons per hr

multiply by 4

12gl  per 4hrs

5 dl per gl

multiply by 12

60 dl per 12 gl

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

   ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                  PEACE!

Answer:

Step-by-step explanation:

The general form of a quadratic equation is ax²+bx+c = 0

Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;

ax² = x²

a = 1

bx = 4x

b = 4

c = 9

The quadratic formula is given as x = -b±√(b²-4ac)/2a

Substituting the constant;

x = -4±√(4²-4(1)(9))/2(1)

x = -4 ±√(16-36)/2

x = -4±√-20/2

x = -4±(√-1*√20)/2

Note that √-1 = i

x = -4±(i√4*5)/2

x = (-4±i2√5)/2

x = -4/2±i2√5/2

x = -2±i√5

The solution to the quadratic equation are  -2+i√5 and  -2i-√5

Answer:

3x+11y-3

Step-by-step explanation:

Hey! So here is what you do to solve the problem-

Combine like terms:

(x) 5x-2x=3x

(y) 3y+8y=11y

(#) 7-10 =-3

So....

3x+11y-3 is your answer!

Hope this helps!:)

Answer:

It is reduced to the equation of the Theorem of Pythagoras.

Step-by-step explanation:

Any triangle can be modelled by this formula under the Law of Cosine:

[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a\cdot c\cdot \cos B}[/tex]

Where:

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Side lengths, dimensionless.

[tex]B[/tex] - Angle opposed to the side [tex]b[/tex], measured in sexagesimal degrees.

Now, let suppose that angle B is a right angle (90º), so that b is a hypotenuse and a and c are legs. Hence:

[tex]\cos B = 0[/tex]

And the equation is reduced to the form of the Theorem of Pythagoras, that is to say:

[tex]b = \sqrt{a^{2}+c^{2}}[/tex]

Answer:

C 39.0

Step-by-step explanation:

To find the approximate angle, x, that the second tree makes with the ground, we can use the concept of similar triangles Therefore the correct option is B.

Let's calculate the height of the first tree using the given information. We can use the formula for the opposite side in a right triangle: opposite = adjacent * tan(angle). Therefore, the height of the first tree is approximately [tex]19 * tan(32°) = 19 * 0.6249 ≈ 11.873[/tex]  feet. Now, we can set up a proportion between the two trees based on their heights. Let x be the angle the second tree makes with the ground.

We have the following proportion: (height of first tree)/(height of second tree) = (length of first tree)/(length of second tree). Substituting the known values, we have [tex]11.873/16 = 19/x[/tex]. Cross-multiplying gives us [tex]11.873x = 304,[/tex]  and dividing both sides by 11.873 yields[tex]x ≈ 25.63°.[/tex]  The approximate angle, x, that the second tree makes with the ground is closest to 35.0°.

Hence the correct option is B

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Answer:

I may be wrong but I think 8 is your answer.

Step-by-step explanation:

(-1)^(3/7)  x 128^(3/7)

-1 x 128^3/7

128^(3/7) = 8

= 8

Answer:

x = 7

Step-by-step explanation:

4x + 5 = x + 26

4x - x = 26 - 5

3x = 21

x = 21/3

x = 7

Check:

4*7 + 5 = 7 + 26

28 + 5 = 33

3920|2

1960|2

980|2

490|2

245|5

49|7

7|7

1

[tex]3920=2^4\cdot5\cdot7^2=(2^2)^2\cdot5\cdot7^2[/tex]

It's 5

Answer:

2x-1 is the answer (or if you're trying to multiply it, the answer is -8.)

Step-by-step explanation:

Answer:

x = [tex]\frac{12-4y}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{4}[/tex] + [tex]\frac{y}{3}[/tex] = 1

Multiply through by 12 to clear the fractions

3x + 4y = 12 ( subtract 4y from both sides )

3x = 12 - 4y ( divide both sides by 3 )

x = [tex]\frac{12-4y}{3}[/tex]

Answer:

-1, 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is (-1,4)

Answer:

A=45cm^2

Step-by-step explanation:

A= h/2(b1 + b2) for trapezoid

A=(5/2(6+12))cm^2

A=(2.5(18))cm^2

A=45cm^2

Answer:

C.

Step-by-step explanation:

When you replace x by x - h, the graph is shifted h units horizontally.

Here, x is replaced by x - 6.

x - h = x - 6

h = 6

6 is positive, so the shift is 6 units to the right.

Answer: C.

Answer:

I used to know this not anymore sry g

Answer:

21.7 m

Step-by-step explanation:

The question above is a right angle triangle and we would be using the trigonometric function of tangent to solve for it.

tan θ = Opposite/ Adjacent

Opposite side = Height = unknown

Adjacent = 20sqrt(3) m

θ = Angle of Elevation = 30°

Hence, we have:

tan 30° = Opposite/ 20√3

Opposite = tan 30° × 20√3m

Opposite = 20m

Height of the tower = Height of the observer + Height (Opposite side)

Height = 20m

Height of the the observer as given in the question is = 1.7m

Height of the tower = 20m + 1.7m

= 21.7m

Therefore, the height of the tower = 21.7m

Answer:

Step-by-step explanation:

North-east has a bearing of 45 degrees

South-west has a bearing of 225 degrees.

Taken anticlockwise,

angle = south-west - north-east

=  (225-45)

= 180 degrees

answer

hope this helps....

distance of a point [tex](x,y)[/tex] from origin is $\sqrt{x^2+y^2}$

so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$

Answer:

Distance=17 units

Step-by-step explanation:

Coordinates of the origin: (0, 0)

Coordinates of the point in question: (-15, 8)

Distance formula for any two points [tex](x_1,y_1), (x_2,y_2)[/tex] on the plane:

[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance=\sqrt{(-15-0)^2+(8-0)^2}\\distance=\sqrt{(15)^2+(8)^2}\\distance=\sqrt{225+64} \\distance=\sqrt{289} \\distance=17[/tex]

Answer:

7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.

Step-by-step explanation:

Pls mark as brainliest answer

The calculated division of the numbers seven divided by 4 is 1 3/4

From the question, we have the following parameters that can be used in our computation:

seven divided by 4

When represented as an equation, we have

seven divided by 4 = 7/4

Divide 7 by 4

So, we have the following result

seven divided by 4 = 1 3/4

Using the above as a guide, we have the following:

the result is 1 3/4

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Answer:

they are equal due to the vertical angles theorem

vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent

Answer:

They are equal

Step-by-step explanation:

I just had it on a exam and can I have brainliest Im trying to level up

Answer:

4 is tenths (a) and 5 is hundredths (b)

Step-by-step explanation:

Now, 0.45

0 indicates the ones place (it comes before the decimal)

0.45 can also be written as:

0.4+0.05

= 4/10+5/100

what can we conclude from this?

we can say that 4 is in the tenths whilst 5 is in the hundredths.

therefore, a is 4 and b is 5.

Hope this helps you! :)

Answer:

Step-by-step explanation:

To find the value of h use the formula for finding the slope of a line

That's

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Where ( x1, y1) and (x2 ,y2) are the points

From the question

slope = - 3

The points are [4,-9] and [-3,h]

Substitute these values into the equation

We have

[tex] - 3 = \frac{h + 9}{ - 3 - 4} [/tex]

[tex] - 3 = \frac{h + 9}{ - 7} [/tex]

Cross multiply

That's

- 3(-7) = h + 9

21 = h + 9

h = 21 - 9

We have the final answer as

Hope this helps you

Answer:

True

Step-by-step explanation:

Microsoft Excel is a great tool and has saved me on countless occasions in graphs and tables. I agree with the earlier answer by Hedland.

Answer:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Step-by-step explanation:

Answer:

Rewrite the absolute value equation as two separate equations, one positive and the other negative

Solve each equation separately

After solving, substitute your answers back into original equation to verify that you solutions are valid

Write out the final solution or graph it as needed

Step-by-step explanation:

Answer:

JK = 6.86

Step-by-step explanation:

The parameters given are;

LJ = 14

JM = 48

LM = 50

[tex]tan(\angle JML )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{LK}{JM} = \dfrac{14}{48} = \dfrac{7}{24}[/tex]

[tex]tan \left( \dfrac{7}{24} \right)= 16.26 ^{\circ }[/tex]

∠JML = 16.26°

Given that ∠JML is bisected by KM, we apply the angle bisector theorem which states that a ray that bisects an interior angle of a triangle bisects the opposite (bisected angle facing side) in the proportion of the ration of the other two sides of the triangle.

From the angle bisector theorem, we have;

LM/JM = LK/JK

50/48 = LK/JK................(1)

LK + KJ = 14.....................(2)

From equation (1), we have;

LK = 25/24×JK

25/24×KJ + JK = 14

JK×(25/24 + 1) = 14

JK × 49/24 = 14

JK = 14×24/49 = 48/7. = 6.86.

JK = 6.86

Answer:

1, 6, 15, 20, 15, 6, 1