Find the sum of the geometric series if n = 5, r = 2, a = 3.

Answer:

c

Step-by-step explanation:

Answer:4.6

Step-by-step explanation:2.3-(-2.3) is the same thing as 2.3+2.3 which is 4.6

Answer:

4.6

Step-by-step explanation:

Answer:

Choice B

Step-by-step explanation:

7.1×10⁵ = 710,000

Answer:

The answer is B. 7.1 times 10^5.

Step-by-step explanation:

To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. Record down the coefficient and count the number of steps the decimal point was moved. The number of steps moved is taken as the exponent.

In 710,000, the decimal is moved to the left 5 times. Thus, causing 710,000 to written as 7.1 times 10^5 in scientific notation.

Answer:

x = 33

y = 5

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

4x20=80

Answer:

[tex] \frac{s}{s + 3} [/tex]

Answer:

S/S+3

Step-by-step explanation:

Hope this helps...

Answer:

56

Step-by-step explanation:

g(2) = 3(2) + 2

      = 6 + 2

      = 8

f(8) = 8^2 - 8

     = 64 - 8

     = 56

Answer:

Volume of the new similar cylinder is equals to 340,426.24 in.³.

" Volume is defined as the total space occupied by any three dimensional objects enclosed in it."

Formula used

Volume of the cylinder = πr²h

r = radius of the cylinder

h = height of the cylinder

value of π = 3.14

According to the question,

radius of the cylinder = 11 in.

height of the cylinder = 14 in.

Dimensions of new cylinder are quadrupled means 4times.

New radius = 44 in.

New height = 56 in.

Substitute the value in the formula we get,

Volume of the new cylinder = (3.14) ×(44)² × (56)

                                      = 340,426.24 in.³

Hence, volume of the new similar cylinder is equals to 340,426.24 in.³.

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Answer:

1045 ft³ of water

Step-by-step explanation:

Given :

Length = 20 feets

Width = 9 1/2 feets

Height = 5 1/2 feets

The maximum of water the pool can hold is equivalent to the volume of the pool ;

Hence, Volume = Length * width * height

Volume = 20 * 9 1/2 * 5 1/2

Volume = 1045 ft³ of water

Answer:

The correct option is d: All real numbers.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that we can input in that function.

A general way to find the domain of a function is:

First, assume that the domain is the set of all real numbers.

Then, look at restrictions implied:

like in functions like:

f(x) = 4   if x > 3

Here the domain of the function is implied.

Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.

In this case, we have a quadratic function:

y = a*x^2 + b*x + c

Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )

Then we can conclude that the domain of this function is the set of all real numbers.

The correct option is d: All real numbers.

Answer:

Step-by-step explanation:

✓(x-5) - 5 = 3

✓(x-5) - 8 = 0

(✓(x-5))² - 8² = 0

x-5 - 64 = 0

x - 69 = 0

x = 69

Answer:

10 2/7

Step-by-step explanation:

Of means multiply

2/7 *36

72/7

Changing from an improper fraction

70/7 +2/7

10 2/7

Answer:

[tex] \frac{2}{7 } \: of \: \: 36 \\ = \frac{2}{7} \times 36 \\ = \frac{2 \times 36}{7} \\ = \frac{72}{7} \\ = 10 \frac{2}{7} \\ = 10.28[/tex]

✐ The answer in fraction form is 72/7, & in decimal form is 10.28.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

266.65

Step-by-step explanation:

65% of 60 = 39 sandwiches sold

85% of 40 = 34 baguettes sold

all Jacket potatoes sold 3.25 x 25

34 x 2.70

39 x 2.40

add the total and comes to 266.65

55 x 7 = 385

dadadsdsadssdgregeg

becouse The size does not differ whether it is big or small, the degree remains the same

Answer:

D 1

Step-by-step explanation:

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hundreths

Step-by-step explanation:

Answer:

Following are the solution to the given question.

Step-by-step explanation:

Please find the graph file and its solution in the attachment.  

[tex]4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\[/tex]

Similarly:

[tex]3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\[/tex]

For point 1:[tex]\to KR=4x-15= 4\times 43-15=172-15=157[/tex]

For point 2: [tex]\to BR=2y+50= 2\times 43+50=86+50=136[/tex]

For point 3:[tex]\to BE=KR=157[/tex]

For point 4:[tex]\to Kf=BR=130[/tex]

For point 5:[tex]\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}[/tex]

Given that ΔKER and ΔBRE are congruent triangles, therefore:

1. How far KFC is from RCBC = KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 70°

Congruent triangles have corresponding parts hat are congruent to each other.

Thus, given that ΔKER ≅ ΔBRE, find the values of x and y as shown below:

KR = BE

4x - 15 =  3x + 28

4x - 3x = 15 + 28

x = 43

KE = BR

3y + 5 = 2y + 50

3y - 2y = -5 + 50

y = 45

Thus:

1. How far KFC is from RCBC = KR

KR = 4x - 15

Plug in the value of x

KR = 4(43) - 15

KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR

BR = 2y + 50

Plug in the value of y

BR = 2(45) + 50

BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 180 - (92 + 18) = 70°

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Answer: 385

Step-by-step explanation:

If prior population proportion p is unknown, then the formula to compute sample size will be:

[tex]n= 0.25(\frac{z^*}{E})^2[/tex]

where, E= Margin of error, z* = Critical zvalue

Given: E= 0.05

Critical value for 95% confidence = 1.96

Required sample size: [tex]n=0.25(\frac{1.96}{0.05})^2[/tex]

[tex]\\=384.16\approx385[/tex]

Hence, the required sample size = 385

Answer:

48 people.

Step-by-step explanation:

Each person gets 1/4 of a pizza meaning that one pizza can serve 4 people. If one pizza can serve 4 people, 12 pizzas can serve 48 people, because 4x12=48.

9514 1404 393

Answer:

  B

Step-by-step explanation:

To find the graph of the inverse function, swap the labels x and y on the axes of the given graph.

There are no x-values common to all the tables, but you can make a determination of the correct one by looking at x=1 and x=-1.

After you swap the axis labels you see that the points ...

  (x, y) = (1, -2) or (-1, -3)

are on the graph. These points are only found in the table of selection B.

The table contains points from the inverse of the graphed function is B. Table 2.

A graph simply means a diagram that represents the variation of a variable when being compared with other variables.

In this case, the inverse of the graphed function will simply be done by switching all the values of x and y in each point. This is clearly illustrated in the second table.

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Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=>   T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=>   T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

Answer:

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Population of 280, which means that [tex]N = 280[/tex]

112 use e-ticket check-in kiosk, which means that [tex]k = 112[/tex]

Sample of eight passengers means that [tex]n = 8[/tex]

Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

This is P(X = 4). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348[/tex]

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Answer:

B

Step-by-step explanation:

Answer:

180-25=155 degrees

Step-by-step explanation:

Answer:

c. √174

Step-by-step explanation:

NP²= 10²+7²+5²=100+49+25= 174

NP = √174

The length of NP would be; √174

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

We are given the measure of sides;

NP²= 10²+7²+5²

NP²=100+49+25

NP²= 174

NP = √174

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