2, 5, 4, 10, 8, 20 [Hint: It is a combined series: two geometric series. Find common ratio for each by dividing.]

Answer:

To solve the equation -7(1-4m)=13(2m-3), we can start by simplifying each side of the equation:

-7(1-4m) = 13(2m-3)

-7 + 28m = 26m - 39 (distributing the -7 and 13)

Next, we can simplify further by combining like terms:

28m - 26m = -39 + 7

2m = -32

Finally, we can solve for m by dividing both sides of the equation by 2:

m = -16

Therefore, the solution to the equation -7(1-4m)=13(2m-3) is m = -16.

Answer:

\( \sf \: m = - 16\)

Step-by-step explanation:

Now we have to,

→ Find the required value of m.

The equation is,

→ -7(1 - 4m) = 13(2m - 3)

Then the value of m will be,

→ -7(1 - 4m) = 13(2m - 3)

→ -7(1) + 7(4m) = 13(2m) - 13(3)

→ -7 + 28m = 26m - 39

→ 28m - 26m = 7 - 39

→ 2m = -32

→ m = -32 ÷ 2

→ [ m = -16 ]

Hence, the value of m is -16.

Answer:

1.15m/s

Step-by-step explanation:

Given data

m1=0.025 kg

m2= 2.35kg

u1= 217 m/s

v1= 109 m/s

u2= 0

v2=???

Applying the law of conservation of linear momentum

m1u1+m2u2=m1v1+m2v2

substitute

0.025*217+2.35*0= 0.025*109+2.35*v2

5.425= 2.725+ 2.35v2

5.425-2.725=2.35v2

2.7=2.35v2

divide both sides by 2.35

v2= 2.7/2.35

v2=1.15 m/s

Hence the speed of the watermelon will be 1.15m/s

Answer:

((1+2)x3) + (4x5) = 29

Step-by-step explanation:

Since 4x5 = 20 and 3x3 = 9, and 9 + 20 = 29, we put parenthesis around 1+2,

we get,

((1+2)x3) + (4x5) = 29

This is true because,

(3x3) + (4x5) = 29

(9) + (20) = 29

29 = 29

Answer:

X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.

Step-by-step explanation:

Hope this helps

Answer:

0.9728

Step-by-step explanation:

We have 2 options for the system to fail - no components work, or only one works.

The probability that no components work is:

\(0.2^4 = 0.0016\)

The probability that one SPECIFIC component works and the others failed is:

\(0.2^3 \cdot 0.8 = 0.0064\)

And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:

\(4 \cdot 0.0064 = 0.0256\)

So we sum the probabilities:

\(P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728\)

Answer:

x=3

Step-by-step explanation:

A vertical line is an up and down line

It is of the form

x =

The x coordinate is 3

x=3

Answer:

x=8

Step-by-step explanation:

Using it's formula, it is found that the standard deviation of the data-set is of 8.9.

In this problem, the data-set is: {6, 7, 5, 22, 26}.

The mean is:

\(M = \frac{6 + 7 + 5 + 22 + 26}{5} = 13.2\)

Hence, the standard deviation is:

\(S = \sqrt{\frac{(6-13.2)^2+(7-13.2)^2+(5-13.2)^2+(22-13.2)^2+(26-13.2)^2}{5}} = 8.9\)

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Answer: always true

Step-by-step explanation:

3x + 12 + x= 4x +12

4(3 + x)= 12 + 4x

4x + 12= 4x + 12

Hey there!

SOLVING for 3x + 12 + x

3x + 12 + x

= 3x + 12 + 1x

COMBINE the LIKE TERMS

= (3x + 1x) + (12)

= 3x + 1x + 12

= 4x + 12

SOLVING for 4(3 + x)

4(3 + x)

DISTRIBUTE 4 WITHIN PARENTHESES

= 4(3) + 4(x)

= 12 + 4x

= 4x + 12

Thus, this statement is: TRUE

THEY ARE BOTH EQUIVALENT TO EACH OTHER

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The correct answer is = 22.4 km

Step-by-step explanation:

Answer:

T1=-12

T2=-19

T3=-26

Step-by-step explanation:

Determine which term will have a value of -6998

-7n-5=-6998

-7n=-6998+5

-7n=-6993

-7n/-7=-6993/-7

n=999

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

-11 to the power of 3

Step-by-step explanation:

The total surface area of the rectangular pyramid is 73.3 yd²

A pyramid is a three-dimensional figure (having length, breadth and height) in which the base is a polygon and the lateral faces are triangles.

A rectangular pyramid have a rectangular base and four triangular lateral faces. The surface area of the rectangular pyramid is gotten by summing the individual area of each surface including the base.

For the rectangular pyramid shown:

Surface area = (5 yd * 6 yd) + 2(1/2 * 5 yd * 4.1 yd) + 2(1/2 * 6 yd * 3.8 yd) = 73.3 yd²

The total surface area is 73.3 yd²

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Therefore, sin(0) = -√305/41 when 0 is an angle in quadrant IV.

Trigonometry is a branch of mathematics that deals with the study of relationships between the angles and sides of triangles. It is used to solve problems in many fields, including engineering, physics, astronomy, and architecture. Trigonometry involves the use of functions such as sine, cosine, and tangent to relate the angles and sides of a right triangle. It also includes the study of trigonometric identities, equations, and graphs, as well as applications of trigonometry in real-world situations.

Here,

If 0 is an angle in quadrant IV, then cosine is positive and sine is negative. We can use the Pythagorean identity to find the value of sin(0):

sin²(0) + cos²(0) = 1

sin²(0) = 1 - cos²(0)

sin(0) = -√(1 - cos²(0))

substituting the given value of cos(0):

sin(0) = -√(1 - (4√47/41)²)

sin(0) = -√(1 - (16*47/41))

sin(0) = -√(1 - 736/41)

sin(0) = -√(305/41)

sin(0) = -(√305)/√(41)

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Answer:

the values of x are 13 and 1.

Step-by-step explanation:

x - 7 = +√36 or x - 7 = -√36

Therefore,

x - 7 = +6 or x - 7 = -6

=> x = 7 + 6 or x = 7 - 6

=> x = 13 or x = 1

Therefore, the values of x are 13 and 1.

Answer: x = 25

Step-by-step explanation:

(x – 7)2 = 36 (Given)

2(x -- 7) = 36 (Associative Property)

2x - 14 = 36 (Distributive Property)

2x - 14 + 14 = 36 + 14 (Addition Property of Equality)

2x = 50 (Simplification)

2x/2 = 50/2 (Division Property of Equality)

x = 25 (Simplification)

Answer:

1330 in.

Step-by-step explanation:

38 x 35 = 1330

Answer:

1330

Step-by-step explanation:

area = b x h

base (38)

height (35)

38 x 35 = 1330

Answer:

Answer: The area of rectangle is 4*m square unit.

Step-by-step explanation:

first we can separate the values ​​with exponents that having the same base can be reduced

so

now do the multiplication between 4.8 and 2.2 and reduce the fraction

so, the right option is B

Answer:

a = 17

Step-by-step explanation:

It can be simplified to 17/24 when dividing top and bottom by 3

Therefore a = 17  

Answer:

I think C

Step-by-step explanation:

Sorry if i'm wrong

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

When talking about launching a watermelon, what heights make sense to talk about?

Can the watermelon be 10 feet in the air?  Sure.

Can the watermelon be on the ground (height = 0 ft)?  Sure.

Can the watermelon be 10 feet below the ground? Eh... not really.

So in context, the only heights that make sense are when the watermelon is on the ground or in the air. That's the highlighted part of the graph below.

So what is the domain of just that highlighted portion?

To answer the second question, remember that the watermelon being on the ground is the same as it's height being 0 ft, or h=0. That's the same thing as the x-axis. So when does the watermelon hit the ground? When the graph hits the x-axis.

Time can never be negative

We can't use domain (-oo,oo) although its shown in graph

The appropriate domain is that interval where the melon went up and hit the ground

Close intervals

If we find range then. that's

-oo is given because the melon may have travelled few ins inwards the ground

Answer:

230

Step-by-step explanation:

300 - 70 = 270 boom

Answer:

is a measure of the average absolute distance between each data value and the mean of a data set.