There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If the average of all seven numbers is (6 + 4/7), find the number common to both sets of four numbers.

Answer:

[tex]2^{5}[/tex]= 32

[tex]5^{-2}[/tex]= 1/25

[tex]5^{3}[/tex]=125

[tex]2^{-4}[/tex]=1/16

i hope this helps, the reason there are fraction is because of the negative exponent. To solve those you need to find the normal answer(with no negative exponent) and put it over 1. Doing that switches it to a positive response(needed).

Answer: The answers are in the steps.

Step-by-step explanation:

[tex]2^{5}[/tex]  = 2*2* 2 *2 *2  = 32  

[tex]5^{-2}[/tex]  =  [tex]\frac{1}{5*5}[/tex]= [tex]\frac{1}{25}[/tex]    

[tex]5^{3}[/tex] = 5 * 5 *5 = 125

[tex]2^{-4}[/tex] = [tex]\frac{1}{2*2*2*2} = \frac{1}{16}[/tex]  

2^5  →  32

5^-2  → 1/25

5^3 →  125

2^-4  → 1/16

Answer:

4

Step-by-step explanation:

Let the number be x.

(11+41)/x = 13

52/x = 13

13x = 52

x = 52/13

x = 4

The number, if Eleven plus forty-one is divided by a number, and the result is 13, is 4.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

Eleven plus forty-one is divided by a number, and the result is 13,

Assume the number is x,

Write the equation as shown below,

11 + 41 / x = 13

52 / x = 13

x = 52 / 13

x = 4

To know more about division:

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Answer:

Slope: -2/5

Step-by-step explanation:

To find slope, use: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Answer:

B.

Step-by-step explanation:

total chips = 6

chips not including yellow= 4

simplify 4/6 = 2/3

Answer:

A) a/b = d/c

Step-by-step explanation:

The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.

In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c

Answer:

C. 9.6 cm

Step-by-step explanation:

This is all about unit rate. In this scenario the unit rate is 50/1 and for 480 km that fraction would be 480/x so we could either do cross multiplication or divide across the numerator and denominators.  Let's divide. 480/50 is equal to 9.6. Seeing as that is what helped us get from numerator a to numerator b we would then multiply that in our denominators. So, 1*9.6 is equal to 9.6 so the amount of cm for 480 km is 9.6 cm.

Answer:

I think it’s parallel

Step-by-step explanation:

Correct me if this is wrong

Answer:

plz mark me brainliest

Step-by-step explanation:

parallel is the answer confirmed

proof: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.

hope it halps

Answer :

[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]

I hope it helps :)

Answer:

A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!

Answer:

30 comedy DVDs

35 Action DVDs

5 Horror DVDs

Step-by-step explanation:

Total Parts of the ratio are = 6+7+1 = 14 parts

Now Finding:

1) Comedy:

=> [tex]\frac{6}{14} * 70[/tex]

=> 6 * 5

=> 30 comedy DVDs

2) Action:

=> [tex]\frac{7}{14} * 70[/tex]

=> 7 * 5

=> 35 Action DVDs

3) Horror:

=> [tex]\frac{1}{14} * 70[/tex]

=> 1*5

=> 5 Horror DVDs

Answer:

the answer is B

Step-by-step explanation:

100 on the plato test

Answer:

A. the average income earned

B. the average tax rate

C. the minimum tax rate

D. the next year's tax rate

Step-by-step explanation:

Plato Users

Step-by-step explanation:

Is this correct

HAVE A GOOD DAY!

Answer:

2

Step-by-step explanation:

well less than 3

Answer:

A

Step-by-step explanation:

The easiest way to do this problem is to find out how far he can go in 1/2 hour.

If he goes 3 miles in 1 hour

he will go 3/2 miles in 1/2 hour

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

Now just add this onto the distance travelled in 1 hour.

3 + 3/2 = 3 + 1.5 = 4.5

The answer is A

The answer can be obtained another (perhaps better ) way.

Set up a proportion

1 hour gives 3 miles

1.5 hours gives x

1/1.5 = 3/x                Cross multiply

1*x = 1.5 * 3             Combine    

x = 4.5 miles

Answer:

The number of different possible vote totals is 184.

Step-by-step explanation:

It is provided that there are N = 50 people in a club.

The position of President is open. And there are x = 4 members running for he post of President.

So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.

Each member of the club has x = 4 possible choices.

So, the number of different possible vote totals are:

Number of different possible votes = n × x

                                                           = 46 × 4

                                                           = 184

Thus, the number of different possible vote totals is 184.

Answer:

the mean (average) is 4

Step-by-step explanation:

add all the numbers together (100) and then divide by the number of patients (25).

Answer:

Just saying that there are links people post that scam you and this is requird by Brainly

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

This is due to the symmetry of the sin function, which states that:

[tex]sin(-x)=-sin(x)[/tex]

Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.

Answer:

x=11

Step-by-step explanation:

the 100-2=98 so you would need the 98 times 89 on both sides or something that is equal

[tex]\bigstar\bf\:89\times (100-2)=98\times (100-x)[/tex]

[tex]:\implies\tt\:89\times 98=98\times (100-x)[/tex]

[tex]:\implies\tt\:100-x=\dfrac{89\times 98}{98}[/tex]

[tex]:\implies\tt\:100-x=89[/tex]

[tex]:\implies\tt\:x=100-89[/tex]

[tex]:\implies\boxed{\bf{\gray{x=11}}}[/tex]

Answer:

-15,20

Step-by-step explanation:

I do not know how to explain how I did it lol :) , but I am very sure that it is correct.

I hope this help you :)

Answer:

-15, 20

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

5, -5, 10, -10, 15,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

5 - first term

-5 - second term

5 ? ? = -5

5 × -1 = -5

So, this means the sequence multiplied negative one by the first term to get the second term. Therefore, the pattern should be 'multiply negative one' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

5, -5, 10, -10, 15,...

5 × -1 = -5 [correct; provides the next term]

-5 × -1 = 5 [incorrect; does not provide the next term]

10 × -1 = -10 [correct; provides the next term]

-10 × -1 = 10 [incorrect; does not provide the next term]

According to the calculations shown above, the pattern we have identified ('multiply negative one') only works on every other term. Therefore, we must figure out the rest of the pattern for the remaining terms. To do that, identify what basic operation and number must be applied.

-5 - second term

10 - third term

-5 ? ? = 10

-5 × -2 = 10

So, this means the sequence multiplies negative two every other term. Therefore, the pattern should be:

multiply by negative one, multiply by negative two

However, to be sure the pattern we have identified is correct, apply it to the sequence.

5 × -1 = -5 [correct; provides the next term]

-5 × -2 = 10 [correct; provides the next term]

10 × -1 = -10 [correct; provides the next term]

-10 × -2 = 15 [correct; provides the next term]

Now that we have identified the correct pattern, let's apply it to the last term to find the next two terms.

5, -5, 10, -10, 15....

15 × -1 = -15

-15 × -2 = 20

Therefore, the next two terms in the sequence is -15, 20.

Answer:

A = 25pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 5

A = pi 5^2

A = 25pi

Answer: The correct answer is option 4;

A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.

Step-by-step explanation: A simple check for the result of each set of dimensions would give the correct answer.

The volume of a right triangular prism is derived as follows;

Volume = 1/2 * b * h * l

Where, b is the base of the triangle, h is the vertical height of the triangle and l is the length of the prism.

Note that the area of the right triangle is denoted by 1/2 * b * h, and multiplying this result by the length of the prism gives the entire depth or volume of the triangular prism. Let us examine the dimensions one after the other;

(1) A triangular prism. The triangular base has a base of 7 metres and height of 9 metres. The height of the prism is 6 metres.

Volume = 1/2 * 7 * 9 * 6

Volume = 189 cubic metres

(2) A triangular prism. The triangular base has a base of 6 metres and height of 13 metres. The height of the prism is 5 metres.

Volume = 1/2 * 6 * 13 * 5

Volume = 165 cubic metres

(3) A triangular prism. The triangular base has a base of 11 metres and a height of 8 metres. The height of the prism is 8 metres.

Volume = 1/2 * 11 * 8 * 8

Volume = 352 cubic metres

(4) A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.

Volume = 1/2 * 10 * 9 * 8

Volume = 360 cubic metres

Answer:

2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

180-153=b

b=27

Answer:

B) 27

Step-by-step explanation:

Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:

153+b=180

b=180-153

b=27

Hope this helps!

Answer:

Last option is the correct choice.

Step-by-step explanation:

See the attachment below.

Best Regards!

Answer:

Range { -8,-3,5,7}

Step-by-step explanation:

The range of the function is the output values

Range { -8,-3,5,7}

Answer:

D

Step-by-step explanation:

8, -3, 5, 7

List of all possible outputs

Answer:

A = 60 cm²

Step-by-step explanation:

Finding BC using Pythagorean Theorem:

=> [tex]c^2= a^2+b^2[/tex]

=> [tex]13^2 = a^2+5^2[/tex]

=> 169-25 = [tex]a^2[/tex]

=> [tex]a^2[/tex] = 144

Taking sqrt on both sides

=> BC = 12

So,

BC = CD = 12

=> BD = BC+CD

=> BD = 12+12

=> BD = 24

Now, The area:

=> Area of a Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where BASE = 24, HEIGHT = 5

=> A = 1/2(5)(24)

=> A = 1/2(120)

=> A = 60 cm²

Step-by-step explanation IN triangle abc,

AC² = AB² + BC² (Phythogoras theorem)

13² = 5² + BC²

169 - 25 = BC²

144 = BC²

BC² = 144

BC = 12 (APPLAYING SQAURE ROOT)

Then in triangle ADC,

AD² = AC² + CD²

AD² = 13² + 12² (CD = BD - BC)

AD² = 169 + 144

AD = 17cm (aprox.)

Therefore area of triangle abd = 1/2× length × side = 1/2× 5 ×24 = 5 × 12 = 60cm

Answer:

Option C. Substitute -x for x and simplify f(-x)

Step-by-step explanation:

The rule for reflection over y axis is:

Substitute -x for x and simplify f(-x)

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

While reflecting a point with coordinates as (x, y), over y axis, the rule followed is

(x, y) = (-x, y)

The given function is,

f(x) = x²

So, reflecting it over y axis, we have to replace x with -x

(x, f(x)) = (-x , f(x))

So, the new reflected function is

f(-x) = -x²

Learn more about Transformation here:

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If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=-1[/tex], [tex]i^3=-i[/tex], and [tex]i^4=1[/tex].

We can break up the given sum into 25 groups (after adding and subtracting [tex]i^{100}[/tex]):

[tex](i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}[/tex]

We have

[tex]i+i^2+i^3+i^4=i-1-i+1=0[/tex]

and in each group, we can pull this out as a factor. For example,

[tex]i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0[/tex]

So the entire sum reduces to the remaining term,

[tex]-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}[/tex]

Answer:

jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................

Step-by-step explanation:

Answer:

x degrees = 50 degrees.

x + 50 degrees = 50  + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Step-by-step explanation:

In a triangle, the sum of all inside angles must be 180 degrees.

In this question:

The inside angles are: x, x + 50 and 180 - 3x.

Then

x + x + 50 + 180 - 3x = 180

2x - 3x = -50

x = 50

So

x degrees = 50 degrees.

x + 50 degrees = 50  + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Answer:

$5000

Step-by-step explanation:

Hours until midnight = 3 1/2

Hours until 1am = 1

3 1/2 x 1000 = 3500 = $3500

1 = ( 1000 x 0.50 = 500 (+1000) ) = 1500= $1500

3500+1500 = $5000