what can 7 and 5 both be divided by​

The explicit formula of the sequence is aₙ = -10 + 8n

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

The first term and the common difference

These values of the first term and the common difference are given as

First term = -2

Common difference = 8

The interpretation of the above sequence is that the 8 is added to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ + 8

When represented explicitly, we have

aₙ = a + (n - 1) * d

Where

a = -2 and d = 8

Substitute the known values in the above equation, so, we have the following representation

aₙ = -2 + (n - 1) * 8

Evaluate the products

aₙ = -2 + 8n - 8

Evaluate the like terms

aₙ = -10 + 8n

Hence, the explicit formula is aₙ = -10 + 8n

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Answer:

126.5 cm2

Step-by-step explanation:

First, the equation to find the area of a trapezoid is A= 1/2(b1 + b2)h  , where b1 is the first length and b2 is the second length and h is the height. For these measurements, you would simply factor them into the equation-  A= 1/2(8 + 15)11. Then using pemdas, 8+15= 23... multiplied by 1/2 equalling 11.5. Then multiply 11.5 by 11 to get your answer of 126.5 then add the units.

Answer:

24

Step-by-step explanation:

(25-10) ÷ 5 × 8

15 ÷ 5 × 8

3 × 8

24

Answer:

24

Step-by-step explanation:

Any work inside parentheses must be done first:  (5^2 - 10).  Also:

Exponentiation is done before addition/subtraction:  5^2 - 10 = 25 - 10 = 15

 So now we have 15 / 5 * 2^3 and recognize exponentiation again:

                               15 / 5 * 8

Then, since multiplication and division have the same order of priority,

carry out the division in 15/5 and then multiply the result (3) by 8

to obtain 24 (final answer)

Answer: I think 48 degrees

Step-by-step explanation: they are both diagonal

hope this helps, have a great day!! :D

Answer:

It is also 48

Step-by-step explanation:

1 and 3 are vertical to each other therefore their degree is both the same.

The solid that can produce the given two-dimensional shape when sliced vertically is option 2.

When we examine anything vertically, we see it from top to bottom. When something is standing, it is referred to as the alignment.

When we examine objects horizontally, we do it from left to right. When anything is in the sleeping posture, it is known as the alignment.

The given shape is a rectangle. When the rectangular prism is sliced in a vertical manner the solid will represent the given shape that is a rectangle.

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Answer:

12/20 and 1/20.

Step-by-step explanation:

The least common denomiator between 3/5 and 1/20 is 20.

For the first equation, we multiply the numerator and denominator by 4 to get 12/20.

The second equation's denominator is already 1/20, so we can leave it as is.

The final answer is 12/20 and 1/20.

Answer:

$46,320

Step-by-step explanation:

Given that

The rate of interest is 6.1%

The amount is $71,000

And, the time period is  7 years

We need to find out the invested amount

As we know that

In the compounded continously, the following formula should be used

Amount = Invested amount × e^(rate × time period)

$71,000 =  Invested amount × e^(6.1% × 7)

$71,000 =  Invested amount × e^0.427

$71,000 =  Invested amount × 1.5326

So, the investment amount is

= $71,000 ÷ 1.5326

= $46324,912

= $46,320

Answer:

387 and 388

Step-by-step explanation:

775 / 2 = 387.5

387 and 388

Answer:

2/3

Step-by-step explanation:

Slope = rise / run = 2 / 3

Because points A, B, C, and D are collinear (meaning on the same line), the slope for line segment AB is the same as the slope for segment DC.

Answer:

2/3.

Step-by-step explanation:

The 2 triangles are similar so their corresponding sides are in same ratio.

The sides BA and CD are collinear so theire slopes are the same.

Slope of BA = rise/run = 2/3 so slope of DC is also 2/3.

There is no sufficient evidence at the 0.05 level to substantiate the publisher's claim

Note that the significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant

In conclusion, the advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%

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The guidelines apply to logarithms of any base anyway a comparable base ought to be used all through a calculation. This guideline tells us how to add two logarithms together. Adding log An and log B achieves the logarithm of the consequence of An and B, that is log Stomach muscle.

As demonstrated by the norm of logs, a log of a base with similar bases will drop and will leave simply the power. Logarithms are models, and when you increment, you will add the logarithms. The log of a thing is the number of logs.

In case you have comparable systems on the different sides of a circumstance, they offset each other! Recollect that this conceivably works when the logarithms on the different sides of the circumstance have a comparable base.

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Answer:

a. Volume 120km^2

Surface area 168km^2

Step-by-step explanation:

Answer:

t=-58

Step-by-step explanation:

[tex]14=t+72\\14-72=t+72-72\\-58=t[/tex]

Answer:

168

Step-by-step explanation:

Surface area= 2(WL+HL+HW)

2×(4×6+6×6+6×4)

=168

=Mr.Lehmans hourly rate for labor is 20$

=30+40=70-50=20

Answer:

The Answer is 15$

You'd need to get the slope

it tells us how he charges with respect to Time

So picking any Point on the graph. Let's say (0,10) and (2,40)

m(slope) = y2-y1/x2-x1

= 40-10/2-0

=30/2

= 15$

Picking other points would still give this value

The probability of Anna winning chances of buying 20 ticket out of 1500 tickets is  0.013.

Probability simply means possibility. It deals with how likely something is to happen.

Therefore,

p(A) = number of favorable outcomes to A / total number of outcome

Hence,

Number of ticket bought by Anna = 20

Total ticket sold = 1500

Therefore,

probability of the winning chances of Anna = 20 / 1500

probability of the winning chances of Anna = 2 / 150

probability of the winning chances of Anna = 1 / 75

probability of the winning chances of Anna  = 0.013

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Answer:

50=2x-2

52=2x

26=x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

261.79

Step-by-step explanation:

V= 1/3 N r2 h

Answer:

1/2

Step-by-step explanation:

You are comparing ponies to sheep, so you put the ponies on top(3)

and the sheep on the bottom(6)

3/6 reduces to 1/2

When the root of x²-bx+c = 0 is decreased by 2, the resulting equation is x²-2x+1, then b = 2 and c = 1

The values of variables satisfying the given quadratic equation are called its roots.

if the roots of a quadratic equation ax²+bx+c = 0 are alpha and beta

alpha + beta = -b/a and

alpha × beta = c/a

when the roots are reduced by 2

alpha-2+ beta-2 = -b/a

(alpha+beta)-4 = -b/a

alpha+ Bata = -b/a + 4

the resulting equation is x²-2x+1 = 0

a = 1, b = -2 and c = 1

therefore alpha +beta = -b/a = -(-2)/1 = 2

therefore 2 = -b/a+4

a = 1

2 = -b+4

b = 4-2 = 2

alpha×beta = c/a = 1/1

(alpha -2)× ( beta -2) = (alpha)( beta) -2(alpha+beta) + 4 = 1-2(2)+4 = 1

therefore b = 2 , c = 1

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Answer:

44 div by 4 = 11

the answer is 11

Step-by-step explanation:

Answer:

26.3

Step-by-step explanation:

Delta Math

The radius of a hemisphere with a volume of [tex]38153[/tex] in", to the nearest tenth of an inch is [tex]26.3[/tex].

A circle's or sphere's radius is any line segment that connects the object's centre to its perimeter in classical geometry; in more contemporary usage, it is also the length of those line segments.

The word "radius" is derived from the Latin word "radius," which also refers to the spoke of a chariot wheel. Use the equation  [tex]r =\frac{D}{2}[/tex]  to determine the radius, which is equal to half the diameter. This is the same process used to determine a circle's radius from its diameter.

A hemisphere's volume is equal to  [tex]\frac{2}{3} \pi r^3[/tex]  cubic units. Where is an estimated constant with a value of [tex]3.14[/tex]. The hemisphere's radius is denoted by "r."

Required calculations are:

V = r

r = radius.

Given, V = 38153 in³

[tex]38153 = \frac{2}{3} \pi r^3[/tex]

[tex]r^3 = \frac{3 \times 38153}{2 \times \pi }[/tex]

[tex]r = 3\sqrt{\frac{3 \times 38153}{2 \times \pi }}[/tex]

r =26.3 in

Therefore, the radius of a hemisphere with a volume of [tex]38153[/tex] in", to the nearest tenth of an inch is [tex]26.3[/tex].

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The answer to 7 to the power of 2 is 49.

This is because when a number is raised to a power, it means that it is multiplied by itself that number of times. 7 to the power of 2 is 7 multiplied by itself 2 times, which is 7 x 7, which equals 49.

An expression known as "power" denotes the process of repeatedly multiplying a value or integer. An is often a power where n is the exponent and an is the base.

As an illustration, the power 63 demonstrates how three times the number 6 is multiplied.

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If triangle JKL is dilated by a scale factor of 3,cos(bº)=4/5.

Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

If you know the lengths of two of the triangle's sides, you can use trigonometric ratios to get the measurements of one (or both) of the acute angles.

tan(b)=P/B=3/4

sin(b)=P/H=3/5

cos(b)=B/H= To find

B=4, H=5

cos(b)=4/5

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Answer:

∠ A ≈ 53°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{12}{9}[/tex] , then

∠ A = [tex]tan^{-1}[/tex] ([tex]\frac{12}{9}[/tex] ) ≈ 53° ( to the nearest whole number )

Answer:

30 degrees - its been a minute since I done that type of math

Answer:

Below:

Step-by-step explanation:

When finding the power of a power, simplify the expression by multiplying the exponents

[tex]a^{m^n} =m^m^n[/tex]

12^4^-5 = [tex]12^{4*-5[/tex][tex]=12^-20=\frac{1}{12^{20}}[/tex]

[tex](-3)^{72}[/tex]

Answer: D

Step-by-step explanation:

i got this question before