Find the sum of the first 16 terms of the series 20+27+34+41+...

Answer:

The answer to your question is below

Step-by-step explanation:

Data

4 red marbles

3 blue marbles

3 yellow marbles

a) Total number of marbles = 4 + 3 + 3 = 10 marbles

b) Number of red marbles = 4 marbles

c) Number of blue marbles = 3 marbles

d) P(blue) = number of blue marbles/ total number = 3/10

e) P(red) = number of red marbles/total number = 4/10 = 2/5

The square root 75 in  simplest radical form will be [tex]5\sqrt{3}[/tex].

We have to Express the square root 75 in  simplest radical form.

We know that An expression that uses a root, such as a square root, cube root is known as a radical notation.

First find the factors of 75.

The factors of 75 will be,

[tex]3\times5\times5[/tex].

Now,

[tex]\sqrt{75} =\sqrt{3\times5\times5}[/tex]

since 5 is in pair under the root so it will come out from the root,

[tex]\sqrt{75}=5\sqrt{3}[/tex]

Thus the simplified radical form is [tex]5\sqrt{3}[/tex].

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Answer:

the answer is 67

Step-by-step explanation:

hope it's helpful

Answer:

The measurement which Jane finds to be 10 meters is the length of the banner.

Step-by-step explanation:

The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

It is possible to find the AREA, or PERIMETER, or LENGTH.

But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.

Answer:

length

Step-by-step explanation:

for answer above: TYSM I NEEDED THAT SO BADLY i struggled with math my entire life and hardly understand when people teach math  that really helped explain that problem tysm!!!

Answer:

I'm not sure how to answer is but i think its called   < CDE  or  < EDC  or it is an acute angle.

Step-by-step explanation:

The two ways of naming the given angle are:

There are two general ways of naming an angle.

First, we just call the angle as the vertex. For example, in this case the vertex is D, then the name of the angle would be D or ∠D, where the symbol ∠ is used for angles.

Now, there are another way of naming an angle, and it depends on the arms of the angle (in cases where a point is a common vertex for many angles, we need to specify the arms).

So the name would be:

EDC or ∠EDC

Where the vertex goes always in the middle.

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Answer:

7(2x+3y+z)

Step-by-step explanation:

Answer:

.26 = 26%     hope this helps!   :)

Step-by-step explanation:

.26

100 = 1.00

26 = .26

you just move the decimal point over 2

Answer:

26% = 0.26 in decimal form

Step-by-step explanation:

You just put a 0. in front of it,

take .26

Then 100 = 1.00

and 26 = .26

Hope This Helps:)

Would appreciate brainliest!!:)

In a perfectly competitive market, Andy will produce two basketballs in the short run, as this is the quantity at which the marginal cost equals the equilibrium price of $2.50.

In a perfectly competitive market, a firm like Andy's basketball business should continue to produce and sell its product as long as the marginal cost (MC) of producing an additional unit is less than or equal to the market price, and stop at the point where MC equals the market price. Given that the equilibrium price of basketballs is $2.50, and looking at the provided information where various costs are outlined, we can determine how many basketballs Andy should produce.

Andy should look at the marginal cost for each output level and compare it to the equilibrium price. He will produce up to the point where marginal cost equals the equilibrium price. The table shows the last unit he should produce at a marginal cost of $2.50 is the second basketball. Producing the third basketball would have a marginal cost of $5.00, which is higher than the equilibrium price, indicating that producing the third basketball would lead to a loss. Therefore, in the short run, Andy will produce two basketballs per day.

Answer:It’s b

Step-by-step explanation:

Girl it’s sum

Answer: 65535

Step-by-step explanation:

Use:

[tex] sec a=\frac{1}{cos a}[/tex]

Answer:

See below.

Step-by-step explanation:

Write the sec's as 1 / cos  and the tan's as sin / cos

I will write sin as s and cos as c:

Left side  =  1 / ( cos)a - b)  =     1  / (ca cb + sa sb)

Right side =    1  /  (  ca cb ( 1 + sa sb / ca cb))

=  1 / ( ca cb *  ( ca cb + sa sb) / ca cb)

The 'ca cb' cancels out so

Right side = 1 / (ca cb + sa sb)  = left side..

Answer:

This number can be found using the Rule of 70, which describes the formula dt = 70 / r, where dt is the doubling time, and r is the annual rate of growth.

Step-by-step explanation:

24/6 = 4

20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320

20 ---> 320 in the first day.

Keep doing this equation. Multiply each day's end result by 2 four times for 9 more days.

Answer:

$468

Step-by-step explanation:

450 + (450*0.04) = $468

Answer:

18

Step-by-step explanation:

Given:

The volume of the sphere = 12348π in³

To find the radius of the sphere.

Formula

The volume of a sphere of radius r is

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

According to the problem,

[tex]\frac{4}{3} \pi r^{3} = 12348\pi[/tex]

Eliminating π from both the side.

or, [tex]\frac{4}{3} r^{3}= 12348[/tex]

or, [tex]r^{3}=\frac{(12348)(3)}{4}[/tex]

or, [tex]r^{3}=9641[/tex]

or, [tex]r=\sqrt[3]{9261}[/tex]

or, [tex]r=21[/tex]

Hence,

The radius of the sphere is 21 inches.

Answer:

21 inches

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume

12348 pi = 4/3 pi r^3

Divide each side by pi

12348 pi/pi = 4/3 pi r^3 /pi

12348  = 4/3 r^3

Multiply each side by 3/4

12348 *3/4 = 4/3*3/4 r^3

9261 = r^3

Take the cubed root of each side

9261^ (1/3 ) = r^3 ^1/3

21 =r

Answer:

a = 3

b = 4

c = 5

Step-by-step explanation:

This is a rhombus. A property of a rhombus is that their diagonals perpendicularly bisect each other. In other words, if the point in the center is A, then HA = MA and EA = OA. So: 3 = a and 4 = b.

Since angle HAO forms a right angle, we can use the Pythagorean Theorem to say that HA^2 + AO^2 = OH^2: 3^2 + 4^2 = 9 + 16 = 25.

OH^2 = 25

OH = 5

Hope this helps!

Answer:

a = 3

b = 4

c = 5

Step-by-step explanation:

Rhombus has all sides equal

c = EH = sqrt(4² + 3²) = 5

Diagonals are Perpendicular bisectors of each other

b = 4

a = 3

Answer:

The answer is 36.

Step-by-step explanation:

   36

    /\

6      6

/\      /\

3 2   3 2

Answer: [tex]2 \°C/min[/tex]

Step-by-step explanation:

The rate of change is a measure in which one variable is modified in relation to another. In this case we have the variables:

Temperature in [tex]\°C[/tex]

Time in [tex]min[/tex]

Now, to calculate the rate of change, we have to divide one variable by the other. In this case the change in temperature [tex]\Delta T[/tex] divided by the time variation [tex]\Delta t[/tex].

Hence, assuming the ambient temperature of the glass is [tex]30 \°C[/tex] and the elapsed time [tex]15 min[/tex] we have:

[tex]\frac{\Delta T}{\Delta t}=\frac{30 \°C}{15 min}=2 \frac{\°C}{min}[/tex]

Answer:

I think it's 3.5

Step-by-step explanation:

Step-by-step explanation:

Nathan read 2 books in 10 months.

The time taken to complete 1 book = [tex]\frac{10}{2}[/tex] = 5 months

To complete 1 book it takes 5 months.

The rate of reading a book per month = [tex]\frac{1}{5}[/tex] = 20%

Answer:

$18

Step-by-step explanation:

since she saved 20% you turn the percentage into a decimal which is .20 then multiply it by 15 because that's how much she saved and you get $3 which you add to $15 and you get the regular price which is $18

1 odd number

2 prime number

3 odd number and prime number

4 none (is out of the diagram)

5 odd number and prime number

Answer:

Ok here's the answer

Step-by-step explanation:

Odd numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers, when divided by 2, leave a remainder of 1. 1, 3, 5, 7, 9, 11, 13, 15 … are sequential odd numbers. Odd numbers have the digits 1, 3, 5, 7 or 9 in their ones place.

Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101,

so you need to put 1 in the odd number section

put 2 in the prime number section

put 3 in the middle section which is the similarities

don't put 4 anywhere because it's neither an odd number nor a prime number

put 5 in the middle section which is the similarities

Answer:

75 times

Step-by-step explanation:

First of all let's ook at the 36 possible outcomes and their sums.

2=1,1

3=1,2 2,1

4=1,3 ; 2,2 ; 3,1

5=1,4 ; 2,3 ; 3,2 ; 4,1

6=1,5 ; 2,4 ; 3,3 ; 4,2 ; 5,1

7=1,6 ; 2,5 ; 3,4 ; 4,3 ; 5,2 ; 6,1

8=2,6 ; 3,5 ; 4,4 ; 5,3 ; 6,2

9=3,6 ; 4,5 ; 5,4 ; 6,3

10=4,6 ; 5,5 ; 6,4

11=5,6 ; 6,5

12=6,6

Looking at the above, there are 4 sums equal to 5 out of a total of 36 sums.

Thus, probability of getting a sum equal to 5 is;

P(5) = 5/36

Now,since the cubes are rolled 540 times, number of times a sum equal to 5 will appear will be;

(5/36) x 540 = 75 times

Answer:

P=x/2.2

Step-by-step explanation:

We can create an equation to solve this.

Let the number of pounds be P

Let the number of kilograms be X

Now, we know that for 1 kilogram, there is 2.2 pounds.

Therefore if we have 1 kilogram (X) then we will have 2.2 pounds (P).

X=2.2P

All you have to do now is rearrange the equation to find the number of pounds in x kilograms. To do this divide both sides by 2.

Therefore you will get P=x/2.2

The number of pounds in X kilograms can be obtained by using the proportional relationship, Hence, the number of pounds in X kilograms is 2.2X pounds

Given the Parameters :

Creating the proportional expression thus :

1 kilogram = 2.2 pounds

X kilograms =?

Cross multiply :

Number of pounds = 2.2X

Therefore, there will be 2.2X pounds in 1 kilogram.

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Answer:

Step-by-step explanation:

Both x and y have the exponent 1, and therefore this is a LINEAR equation.  NO, it is not an exponential function.

Final answer:

The function y=7x-3 is not an exponential function; it is a linear function with a slope of 7 and a y-intercept of -3.

Explanation:

The function given is y=7x-3. To determine whether this function is exponential, we should look at the form of the function. An exponential function has the form y = abˣ, where a is a constant, b is the base of the exponential (which is a positive real number other than 1), and x is the exponent. The given function, however, is a linear function because it can be rewritten in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, m (the slope) is 7, and b (the y-intercept) is -3. Therefore, y=7x-3 is not an exponential function; it is linear.

Given:

The area of the rectangular garden is 18z+24 sq ft.

To find the possible dimensions of the garden.

Formula

The area of the rectangular garden is

[tex]A = lb[/tex]

where,

l be the length of the rectangle

b be the width.

Let us take l and b be the length and width of the given rectangular park respectively.

Now,

According to the problem,

[tex]lb = 18z+24[/tex]

or, [tex]lb = 6(3z+4)[/tex]

We can determine that,

l = 6 and b = 3z+4 or vice versa.

Hence,

The possible length and width of the rectangular garden is 6 and (3z+4) respectively.

We can begin by noting a few things:

• dB represents the sound intensity in decibels

• I represents intensity

• I0 represents reference intensity

Assuming the reference intensity (I0) is the base level of hearing represented by the equation 1 • 10^(-12) watts per meter^2, we can incorporate 100 into the equation.

If the sound intensity of rustling leaves (I) is 100 times the reference intensity (I0), we can set up an equation to solve:

I = 100 • 10^(-12)

Now to calculate the intensity of rustling leaves in decibels:

dB = 10 • log10(100 • (1 • 10^(-12)) / (1 • 10^(-12)))

dB = 10 • log10(100) = 10 • 2 = 20 dB

Therefore, the sound intensity of rustling leaves is 20 decibels.

Answer:

256 cm squared

Step-by-step explanation:

Just did the Quiz, hope this helps!

The area of this composite figure is 256 centimeters squared, the correct option is D.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

Measure of rectangle = 16x10

Measure of triangle base of 16 centimeters and height of 6 centimeters.

Now,

The area of the composite figure can be calculated by adding the area of the rectangle and the area of the two triangles.

The area of the rectangle is 16 * 10 = 160 cm^2. The area of one triangle is 1/2 * 16 * 6 = 48 cm^2. The area of two triangles is 2 * 48 = 96 cm^2.

160 + 96 = 256 cm^2.

Therefore, by the given composite figure the answer will be 256 centimeters squared.

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Answer:

It is 4 feet below the tree limb now

step by step

it starts at -23 or 23 below and rises 19 or adds 19 to the -23

so -23+19=-4. or 4 feet below the tree limb

Final answer:

After floating up 19 feet from its initial position of 23 feet below the tree limb, the balloon is 4 feet below the limb.

Explanation:

The student's question pertains to finding out the position of a balloon relative to a tree limb if the balloon starts 23 feet below the tree limb and then floats up 19 feet. We begin by acknowledging that the balloon's initial position is -23 feet (since it is below the limb, we consider this as negative). Upon floating up 19 feet, we perform the arithmetic operation of adding +19 feet to the initial position.

The calculation is as follows: -23 feet + 19 feet = -4 feet.

Therefore, the balloon's final position relative to the tree limb is 4 feet below it, since the result is still negative, indicating that the balloon did not reach or surpass the height of the limb.

Answer: A

Step-by-step explanation:

The expanded form for the series is 0 + 1+ 4 + 9 +3

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

[tex]_3\\\sum{n^2}+3\\n=0[/tex]

⇒(0)² + (1)² + (2)² + (3)² +3

⇒0 +1+ 4 + 9 +3

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Answer:

1/3 or 33.3%

Step-by-step explanation:

theres 3 total, and one squirtle so it's 1/3

Answer:

x + 2(-4) = 10

x - 8 = 10

x = -18

y = -4

(-18, -4)

Step-by-step explanation:

Answer:

x + 2(-4) = 10

Step-by-step explanation:

Substituting -4 for y in the second equation results in x + 2(-4) = 10.  This simplifies to x - 8 = 10 and then x = 18.

Please, when the problem statement includes possible answer choices, share them.