Complete the recursive formula of the geometric sequence 10,6, 3.6, 2.16

The actual length of the bus is given as follows:

45 feet.

The actual length of the bus is obtained applying the proportions in the context of the problem.

The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:

5/0.5 = 10 feet.

The length of the drawing is given as follows:

4.5 inches.

Hence the actual length of the bus is given as follows:

4.5 x 10 = 45 feet.

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Answer:

3.5

Step-by-step explanation:

Given points are ,

Firstly find the slope of the line passing through these two points . Therefore ,

=> m = y₁ - y₂ / x₁ - x ₂

=> m = ( 3 - 1)/(-2-5)

=> m = -2/7

=> m' = -1/m

=> m' = -1 ÷ -2/7

=> m' = -1 × -7/2

=> m' = 7/2 = 3.5

divdelo

5/160.62

npome corona

Answer:

x = 66.74715005725

Step-by-step explanation:

First you bring over the added variable. 0.194185, and subtract it from 66. Then you divide your difference by 0.985897. This gives you 66.74715005725

The equation that represents the total cost that Debra paid is: C = 5N

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Information about the problem:

The function that models the situation is the following:

C = 5N

Where:

Number of notebooks = N

Cost of each notebook = $5

Total cost = C

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Correctly written question:

Debra purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Debra paid.

The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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Answer:

Step-by-step explanation:

A range

Answer:

f(-4)=3(4)^2-5(4)

16*3-20

48-20

f(-4)=28

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

What Problem?

Step-by-step explanation:

Answer: D. The theoretical probability is greater than the experimental.

Step-by-step explanation:

The theoretical probability is 1/2 (0.5) because a coin has two sides, and one of those sides is a head.

The experimental probability is 5/27 (0.19) because out of the 27 flips, 5 flips resulted in a head.

0.5 (Theoretical) > 0.19 (Experimental)

The theoretical probability is greater than the experimental probability.

Answer:

8 meters.

Step-by-step explanation:

the formula for the hypotenuse of a right triangle is: \(a^2 + b^2 = c^2\). Where C= hypotenuse and a and b = other sides. We can sub in a and c to get \(6^2 + x^2 = 10^2\\\). Simplify to \(36+x^2=100\). Subtract 36 from both sides to get x^2 = 64. \(\sqrt{64} =8\)

Given that;

STEP 1: Add 4 to both sides of the equation;

STEP 2: Simplify further;

CORRECT OPTION: A

Answer:45%

Step-by-step explanation:

Answer:

Denver should be experiences balmy weather on day 3. Temps vary depending on the month, but overall no storms, and fairly clear weather should be present.

Step-by-step explanation:

A higher pressure system is moving closer to Denver, making for sunnier and calmer weather. It also seems like the nice H should stick for around 2-5 days if the low and high pressure systems continue in what seems to be a slight loop, the low pressure system will probably be moving to the Northeast soon. Overall Denver should be experiencing nice weather, perhaps a bit colder because of the cold front that seems to have sweeped through before Day 1.

(Hope this helps out, I'm sorry if this is wrong.)

Answer:

this might help

Step-by-step explanation:

thanks to the person above me i got 100%! :)

Answer:

Decimal -12.25... Between -13 and -12...

Step-by-step explanation:

Here is what you need to do... Follow my directions exactly.

1) Label the left line -13 and label the right line -12...

2) On the first bullet write Between -13 and -12.

3) Decimal estimate ~ -12.25

4) Put your point towards the right line (which you labeled -12), but do not put it all the way on the line, you need to have it in-between the middle and the point labeled '-12'...  

I would appreciate 5 stars and Brainliest answer!

Answer:

Step-by-step explanation:

For quadratic ax² +bx +c, the axis of symmetry is x = -b/(2a). For your function, a=2, b=-5, c=3 and the axis of symmetry is ...

  x = -(-5)/(2(2)) = 5/4 = 1.25

The vertex is on the axis of symmetry. The y-value there is ...

  m(5/4) = (2(5/4) -5)(5/4) +3 = (-5/2)(5/4) +3 = -25/8 +24/8 = -1/8

The vertex is (5/4, -1/8).

The axis of symmetry is x = 5/4.

The leading coefficient is positive, so the parabola opens upward. The vertex is a minimum.

The minimum is -1/8.

The function is defined for all values of x, so ...

the domain is all real numbers.

Values of y can only be -1/8 or greater, so ...

the range is y ≥ -1/8.

Answer:

apples per pound: 0.25

pears per pound: 0.33

Apples give him the best value per pound

Step-by-step explanation:

to find apple per pound: 4/16= 0.25

to find pears per pound: 7/21= 0.33

f EB = 6.2, CD = 3.3, and ED= 6.2, then the value of B is 6.6.

An isosceles triangle is a type of triangle with two sides of equal  length. Two opposite angles of an isosceles triangle with equal sides are equal in size. In geometry, a triangle is a three-sided polygon that is classified into three categories based on its sides, for example:

Properties of an isosceles triangle

Therefore,

EB = 6.2

ED = 6.2

So EB=ED

ΔEBD is  isosceles triangle and ∠BCE is right angle

so C is middle point of BD

Hence, BD = 2CD

                  = 2X 3.3

                  = 6.6

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Answer:

It’s 1.5

Step-by-step explanation:

Just divide 2.1 and 1.4

The Inequality which ensure triangle exists is A. 7/4 < x < 11/2

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.

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Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

the actual length of the cement truck is 165cm. To determine the actual length of the cement truck, we can use the scale factor provided.

If the toy cement truck is 11cm long and the scale factor used is 1cm : 15cm, then we can write the following proportion:

1cm / 15cm = 11cm / x

Solving for x, we can cross-multiply and get:

x = (15cm * 11cm) / 1cm

x = 165cm

Therefore, the actual length of the cement truck is 165cm.

This answer makes sense in a real-life context. Scale models are often used in industries such as architecture, engineering, and construction to represent buildings, machines, and other structures before they are built in full-scale. The scale factor allows designers and builders to create models that are smaller in size but still represent the same proportions and features of the actual structure.

In the case of a toy cement truck, the scale factor used allows manufacturers to create a smaller, more affordable version of the real truck while still maintaining the same proportions and features. This can make the toy more accessible to children and collectors alike. Additionally, understanding the scale factor used to create a toy can provide insights into the actual size and features of the real-life object, making it easier to visualize and understand.

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The coordinate of A" if the scale factor of 3 is used would be (-24, -12).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (enlarged) or decreased (reduced) based on the scale factor applied.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair A (-8, -4) → Ordered pair A' (-8 × 3, -4 × 3) = Ordered pair A' (-24, -12).

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Answer:

Step-by-step explanation:

the answer is  −3(x − 1.7) hoep it helps you :)

The value of 92°C to Fahrenheit will be 197.6°F.

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Since the function F(C)=1.8C+32 represents Fahrenheit, F, as a function of the temperature in Celsius,.

Therefore, 92°C to Fahrenheit will be:

= (1.8 × 92) + 32

= 197.6°F

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If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.