Huilan is 6 years younger than Thomas. The sum of their ages is 64. What is Thomas's age?

Answer:

cool

Step-by-step explanation:

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

The sample standard deviation is 7.

We first need mean of the three numbers. The mean of the set is:

= (1035 + 1042 + 1049) / 3

= 1042

Now, we will calculate variance of sample which will give:

Variance = [(1035 - 1042)^2 + (1042 - 1042)^2 + (1049 - 1042)^2] / 2

Variance = [(-7)^2 + 0^2 + 7^2] / 2

Variance = (49 + 49) / 2

Variance = 98 / 2

Variance = 49

Next, we will take square root of variance to derive standard deviation which is:

Standard deviation = √49

Standard deviation = 7.

Full question "What is the standard deviation of 1035, 1042 & 1049".

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According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Answer:

?

Step-by-step explanation:

can you specify which numbers to round

The simplest fraction form of the given expression 4/5^3 is 4/125.

A fraction is part of a whole. In arithmetic, numbers are represented as the quotient of the numerator divided by the denominator. In simple fractions, both are integers. A complex fraction has a fraction in the numerator or denominator. A true fraction has the numerator less than the denominator 

Simplifying a fraction means finding the equivalent fraction, truncated as much as possible. 

According to the information from the question given:

Simplified form of fraction= 4/5^3

                                           =4/(5x5x5)

                                           =4/125

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The value of x in the chord of the circle using the chord-chord power theorem is 0.

The chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".

From the figure:

The first chord has consist of 2 segments:

Line segment 1 = 27

Line segment 2 = ( x + 16 )

The second chord also consist of 2 sgements:

Line segment 1 = 24

Line segment 2 = ( x + 18 )

Now, usig the Chord-chord power theorem:

27( x + 16 ) = 24( x + 18 )

Solve for x:

27x + 432 = 24x + 432

27x - 24x = 432 - 432

3x = 0

x = 0

Therefore, the value of x is 0.

Option D) 0 is the correct answer.

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Answer:

a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:

28 + 49 + 77 = 154

= 7*4 + 7*7 + 7*11

= 7 (4 + 7 + 11)

= 7 (22)

= 154

Step-by-step explanation:

a) Data and Calculations:

Number of stamps that Mia has = 28

Number of stamps that Alex has = 49

Number of stamps that Michael has = 77

GCF = 7

b) GCF = Greatest common factor.  The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.  The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.

Answer:

\(-\frac{11}{12}\)

Step-by-step explanation:

\((\frac{5}{8}+ \frac{3}{4} )/(-\frac{2}{3} -\frac{5}{6})\)

8 = 2 × 2 × 2

4 = 2 × 2

LCM = 2 × 2 × 2

LCM = 8

3 = 3 × 1

6 = 2 × 3

LCM = 2 × 3 × 1

LCM = 6

\((\frac{5}{8}+ \frac{2(3)}{2(4)} )/(-\frac{2(2)}{2(3)} -\frac{5}{6})\)

\((\frac{5}{8}+ \frac{6}{8} )/(-\frac{4}{6} -\frac{5}{6})\)

\(\frac{11}{8}/(-\frac{4}{6} -\frac{5}{6})\)

\(\frac{11}{8}/-\frac{9}{6}\)

\(\frac{11}{8}(-\frac{6}{9})\)

\(-\frac{66}{72}\)

66 = 2 × 3 × 11

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3

GCF = 6

\(-\frac{66/6}{72/6}\)

\(-\frac{11}{12}\)

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

P(2 red balls without replacement) = P(1st red ball) x P(2nd red ball | 1st red ball is red), where P is probability.

The probability of getting 2 red balls with replacement is the probability of drawing a red ball multiplied by the probability of drawing a second red ball. This can be written as P(2 red balls with replacement) = P(1st red ball) x P(2nd red ball).

The probability of drawing a second red ball given that the first ball drawn was red is the probability of drawing a red ball given that the first ball drawn was red. This can be written as P(2nd red ball | 1st red ball is red) = P(2nd red ball | 1st red ball is red).

The probability of getting a red ball randomly is simply the probability of drawing a red ball. This can be written as P(Random red ball) = P(Red ball).

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Answer:

900

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is given by the formula:

\(S=(n-2)180\)

The polygon given has 7 sides. Substitute 7 for n. Thus:

\(S=(7-2)180\\S=5(180)\\S=900\)

The sum of the interior angles is 900 degrees.

The solution of the linear equation:

3x+4x+5x=4(x+2)

is x = 1

Here we need to solve the following linear equation:

3x + 4x + 5x = 4*(x + 2)

First, we should expand the right side to get:

3x + 4x + 5x = 4x + 8

Now we group like terms:

3x + 4x + 5x - 4x = 8

Taking x as a common factor in the left side:

(3 + 4 + 5 - 4)*x = 8

(3 + 5)*x = 8

8x = 8

x = 8/8

x = 1

The solution is x = 1.

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The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9

The equation of the function is given as

f(x) = 3x²

Also, we have

Vertex = (5, 9)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (5, 9)

Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 5)² + 9

This also means that

f(x) = -3(x - 5)² + 9

The -3 is gotten from f(x) = -3x²

Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9

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The value of dy/dx is ( v du/dx - u dv/dx)/v²

From the question, we have

y = (1+x)u/(1+x)v

y = u/v

dy/dx = d/dx(u/v)

d/dx(u/v) = ( v du/dx - u dv/dx)/v²

Derivatives:

A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilized. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial. In calculus, a function's derivative measures how sensitively its output value changes in response to changes in its input value.

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Answer:

Step-by-step explanation:

y= 3x

x            y

0           0

1             3

2            6

3             9

-1            -3

-2             -6

Answer:

C, 4+x=15

Step-by-step explanation:

since you're trying to find x you need to isolate it, so use the other numbers you have, 19 and 4, subtract 4 from 19, (19-4) to get x=15.

The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10

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

The difference of -10 and the product of p and q

The numbers are given as

p and q

The product of p and q means pq

So, we have the following

The difference of -10 and pq

The difference of -10 and pq means

pq + 10

Hence, the expression is pq + 10

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Answer:

21 inches

Step-by-step explanation:

If the boy is 25% smaller, that means his current height is 75% of his previous height. 75% of 28 is 0.75 * 28 which is 21.

Hope this helps :)

Answer:

35 inches tall. (This is assuming they want him to be 25% taller. Using the past tense of 28, I assume this is growth.)

Step-by-step explanation:

25% is 25/100 therefore we get 1/4 which gives us 28/4 = 7.

So this makes the boy 7 inches taller than 28.

28 + 7 = 35

Making him 35 inches tall.

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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The value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.

Two things are equal, according to an equation.

It will be written with the equals sign "=" as in x+2=6.

What is on the left (x + 2) is equal to what is on the right ((6)), according to that equation.

A remark like "this equals that" can be compared to an equation.

So, we have the equations:

6x + 4y = 7

Kx + 8y = 7

Now, we know that both equations are equal to 7. so, we can write it as:

6x + 4y = Kx + 8y

Solve with subject K as follows:

6x + 4y = Kx + 8y

Kx - 6x  = 4y - 8y

(K-6)x = -4y

k-6 = -4y/x

k = (-4y/x) + 6

Therefore, the value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.

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Answer: 1:3

Step-by-step explanation:

there are 3 squares and 6 triangles.

as a ratio we would write this as 3:6

all we need to do is simply it by dividing 3 on both sides

this would give us the ratio of 1:3

hope this helps :)

Answer:

this triangle is a acute angel so it 3

To find (f - g)(x), you can subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x)

= (2x2 + 2) - (6x2 + 6)

= -4x2 + (-4)

= -4(x2 - 1)

Therefore, the result of (f - g)(x) is -4(x2 - 1).

Answer:

there are 160 pages

Step-by-step explanation:

72 divided by 45 multiplied by 100 is your answer

Answer: 4102

Step-by-step explanation:

8^4 + 6=

4096+6=4102

Answer:

Nice "short" ride unless your out of shape

Step-by-step explanation: