5(3square root x) + 9(3square root x)

The volume of the composite fiqure as shown in the diagram above is 300 cm³.

A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.

Note: The composite fiqure is made up of two different cubiods

To calculate the volume of the composite fiqure, we use the formula below.

Formula:

Where:

Given:

Subsitute these values into equation 1

Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.

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The area of triangle MNB, MNC and ABC 6 in.², 60 in.², and 30 in.² respectively

The ratio of the base of the triangles ΔMNB and ΔCBM, that shares a common vertex, is the ratio of their areas.

M is the midpoint of side AB in ΔABC

NB:CB = 1:5

Area of ΔCAM = 30 in.²

The area of ΔMNB and ΔABC

Area = 1/2 * base * height

Height of ΔCAM = Height of ΔCBM = Altitude of point C above line AB

MA = MB by definition of midpoint

MA is the base of ΔCAM, and MB is the base of ΔCBM

Therefore; Area of ΔCAM = 1/2 AM * Height of ΔCAM

= 1/2 * AM* height of ΔCAM

Which gives;

Area of ΔCAM = Area of ΔCBM = 30 in.²

Area of ΔABC = Area of ΔCAM + Area of ΔCBM = 30 + 30 = 60

Area of ΔABC = 60 in.²

Taking CB as the base of ΔCBM, we have;

Height of ΔMNB = Height of ΔCBM from line CB

Base length of ΔCBM = 5 × Base length of ΔMNB

Therefore; Area of ΔMNB = 30/5 = 6 in²

Area of ΔCBM = 30 in.² = 5 × The area of ΔMNB

Conclusively, the Area of ΔMNB = 6 in.²

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Correct question:

In a triangle ABC, M is the mid point of the side AB and N is the mid point of the side AC.  Find the lenght of the segment MN if AB =18, BC = 10 and AC = 20

Answer:

Both are equal to each other.

Step-by-step explanation:

\( \frac{10}{10} = 1\)

\( \frac{6}{6} = 1\)

Answer:

None of them are bigger than the other, they are equal to each other.

\( \frac{10}{10 } = \frac{6}{6} \\ 1 = 1\)

Answer:

All conjecture postulates and theorems prove a logical argument.

This is my opinion

Step-by-step explanation:

Theorems are the basics of mathematics.

They are verified multiple times in past.

They are certified by all famous mathematicians of world.

Some famous theorems are

Answer:

B. Executive

The executive is the branch of government exercising authority in and holding responsibility for the governance of a state

Answer:

=49

Step-by-step explanation:

7(3+4) substitute 7 into t

7(7) add numbers in brackets bec of BODMAS

49

Answer:

Yes, this is a quadratic form because it has an exponent. This equation is in standard form because the standard form is f(x)=ax^2+bx+c

Step-by-step explanation:

Hope this helps

Answer:

Which three questions?

Step-by-step explanation:

I've answered this first question, I guess I need two more...

The sum of the two rational equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).

In this question we must use algebra definitions and theorems to simplify the addition of two rational equations into a single rational equation. Now we proceed to show the procedure of solution in detail:

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Answer: No

Step-by-step explanation: This is not a function because functions must be a straight line.

Answer:

12 i guess?????????????

Answer:

When you do adding and subtracting with decimals just line up the decimal points and do the math regularly

0.72

-0.7

_____

0.02 meters further so Hector's car traveled farther

0.6

+0.25

_____

0.85 swam in total

Hope this helps

Step-by-step explanation:

Answer:

3/4 - 5/12

Step-by-step explanation:

first you make the demoninators the same so 3*4=12

and if you *3 you do it to the numerator

so its 9/12-5/12

the unsimplified fraction is 4/12

if wanted simplified version its 1/3

\(\frac{3}{4}-\frac{5}{12}\\\)

First make the denominators equal so you can easily add the numerators

Common Factor of 4 and 12: 12

So multiply \(\frac{3}{4}\) with 3 for both numerator and denominator (4*3=12, to make denominator equal)

\(\frac{9}{12} - \frac{5}{12} =\frac{4}{12}\)

Simplify further

\(\frac{4}{12} =\frac{1}{3}\)

\(\frac{1}{3}\) is the answer

Hope it helps!

Therefore , the solution of the given problem of logarithm comes out to be x =100.

Mathematically speaking, the reciprocal of a power is the logarithm. Therefore, the base-b logarithm of a given number, x, is equal to the exponential by which bc must be extended to acquire it. For instance, because 1000 = 103, whose base-10 logarithm, or log10 = 3, is 3. As an example, the square of ten is one hundred, but the base-10 logarithm of ten is two. Log 100 = 2. The mathematical concept of a logarithmic (or log) is used to respond to questions like.

Here,

Given : log x  =2

=> log x  =2

=>  x = antilog (2)

=> x  = 100

Therefore , the solution of the given problem of logarithm comes out to be x =100.

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Answer:8w+2x

Step-by-step explanation:

The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

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Answer:

.038++++9675756-:-

Step-by-step explanation:

5582989(888888

The number 0.405 is greater than the number 0.045.

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

The numbers are,

⇒ 0.045 and 0.405

Now,

In the numbers,

⇒ 0.045 and 0.405

The place value 4 in the number 0.045 = 4/100

And, The place value 4 in the number 0.450 = 4/10

Thus, The number 0.405 is greater than the number 0.045.

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Answer:

The number of checks processed at a bank in a day is categorical data.

Step-by-step explanation:

In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.

A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.

Basically, numerical data are classified into two (2) main categories and these are;

1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.

Hence, the number of checks processed at a bank in a day is discrete data.

Answer:

refer to workings

Step-by-step explanation:

Perimeter=15+15+8+8=46cm

Area=15×8=120cm²

15 = 5x + 45

15 - 45 = 5x

-30 = 5x

-30/5 = x

-6 = x

Answer:

x= -6

Step-by-step explanation:

15=5x+45

15-45=5x

-30=5x

-30/5=5x/5

-6=x

x= -6

Answer: Use the steps that are easiest to draw a parabola!

Step-by-step explanation:

I used Desmos, here are the key points.

Vertex: (-5,-2)

Extra points to graph:

Hope this helps!

Answer:

15.3

×6.4

-------

I am going to attach a Photo so you can understand it more.

Step-by-step explanation:

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!!!

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

112.5 pi

Step-by-step explanation:

hi, to find this we need to know the formula for the area of a circle. it is:

a=pi*radius^2

so the radius is 30/2=15

now we can just plug 15 in to find the area.

a=pi*15^2

a=225pi

now, that is the area for the full circle, but here it is a semi circle, so we just divide 225 pi by 2 to get

112.5 pi, or 112.5π

Answer: eighty and four-hundred ninety two thousandths.

Step-by-step explanation:

Answer:

eighty and four hundred ninety-two thousandths

Step-by-step explanation:

80 = eighty

0.4 = Four Hundredths

0.092 = ninety-two thousandths

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph