find x if 8.4% of x is 420. explain with steps

Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

Answer:

It depends is w is a negative or positive number

Step-by-step explanation:

5w could = 5 x 4 = 20 this is greater than -20

5w could = 5 x -4 = -20 this is equal to -20

hope this helps...

The speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.

Distance is defined as the product of speed and time.

Let the speed of the slower plane would be s

then (s+10) = speed of the faster

So time equation; time = dist/speed

130 / s = 135 / (s+10)

130(s+10) = 135s

130s + 1300 = 135s

135s - 130s = 1300

5s = 1300

s = 1300 / 5

s = 260

Since s = 260 mph is the speed of the slower plane

So, 270 mph is the speed of the faster.

Thus, the speed of the slower plane is 260 mph and the speed of the faster plane is 270 mph.

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The recursive formula of the linear growth model is Pₙ = Pₙ ₋ ₁ + 5

The explicit formula of the model is P(n) = 7 + 5n

37 cars are sold in the 6th week

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

P₀ = 7

P₁ = 12

So, the common difference is

d = 12 - 7

Evaluate

d = 5

The recursive formula of the linear growth model is

Pₙ = Pₙ ₋ ₁ + d

So, we have

Pₙ = Pₙ ₋ ₁ + 5

Here, we have

P₀ = 7

d = 5

The explicit formula of the linear growth model is

P(n) = P₀ + nd

So, we have

P(n) = 7 + 5n

This means that

n = 6

So, we have

P(6) = 7 + 5 * 6

Evaluate

P(6) = 37

Hence, 37 cars are sold in the 6th week

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Answer:

  3000

Step-by-step explanation:

There are 5 odd digits, so 5^3 = 125 ways to have 3 odd digits.

Given 3 odd digits, the first digit can be even, but not zero, so there are 4 ways to do that.

The second, third, or fourth digits can be even 5 ways, so there are ...

  125(4 +5 +5 +5) = 2375

ways to have 3 odd digits in a 4-digit number.

__

There are 5^4 = 625 ways to have 4 odd digits.

The number of 4-digit numbers with 3 or 4 odd digits is ...

  2375 +625 = 3000

The solution of the inequality 3x < 13 is x < 4.33.

None of the given option is correct.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality,

3x < 13.

Simplifying,

x < 4.33

The graph is given in the attached image.

Therefore, the solution is x < 4.33.

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The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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The inequality tha calculates the possible values of x is x < 2

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

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

-12x⁸y⁵

Step-by-step explanation:

Exponent law:

         xᵃ * xᵇ = xᵃ ⁺ ᵇ

In exponent multiplication, if bases are same, add the exponents.

(4x⁵y³) (-3x³y²) = 4*(-3) * x⁵⁺³ * y³⁺²

                        = -12x⁸y⁵

The matching of equations with their characteristic is as shown:

a) Neither parallel nor perpendicular lines

b)  these are perpendicular lines

c) these are parallel lines

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Rewrite the equations that need to be in y=mx+b form, then compare the slopes ( m values )

a) y= -4x +5 , y=(-1/4)x - 6

Neither parallel nor perpendicular lines

b)  y=3x+5 , y= (-1/3)x - 7

The slopes are m and -1/m , these are perpendicular lines

c)  The slopes are equal

So, these are parallel lines

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Answer:

C. F(x) = 1/(x+7)(x-3)

Step-by-step explanation:

How do I solve this ?

Solving equations with algebra tiles or balance scales is difficult due to its limitation which is explained below.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Because of their 2-d existence, algebra tiles can only model graduate degrees or reduced polynomials. Their physical nature furthermore restricts the number of different factors that can appear in the algebraic expressions they model, as well as the complexity of their understanding of contradiction and subtraction.

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Using scientific notation, the measure is given as follows:

\(1.9 \times 10^{-10}\)

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

The diameter of a proton, in scientific notation, is given by:

\(1.9 \times 10^{-15}\).

The hydrogen atom has an overall length of 100,000 = 10^5 times the diameter of the proton, hence the length is given by:

\(L = 100000 \times 1.9 \times 10^{-15} = 10^5 \times 1.9 \times 10^{-15} = 1.9 \times 10^{5 - 15} = 1.9 \times 10^{-10}\)

For the above length, I applied the multiplication of factors with the same base and different exponents, where we keep the base and add the exponents.

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The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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Answer:

c

Step-by-step explanation:

14-11=3

12-9=3

10-7=3

8-5=3

Answer:

A

Step-by-step explanation:

It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.

Answer:

113

100

Step-by-step explanation:

63           50  

100         100

       113

       100

Answer:

113/100 or 1 13/100

Step-by-step explanation:

convert the 10 in 5/10 into 100 by multiplying 10x10 and do this repeatedly with 5, 5x10 and you will get 50/100, 50/100 x 63/100 is 113/100 or 1 13/100

hoped this helped <3

expression: 63/100+5/10 =x/100=5x10=50=50/100+63/100=113/100=1 13/100 x=50

have a great day!! :))

The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

\(Y =x^2-23x^2 + 18x+40\)

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

\(x^2-23x^2 + 18x+40 = 0\)

Then after solving it become

\(-22x^2 + 18x+40 = 0\)

Then take negative sign common from it then

\(22x^2 - 18x - 40 = 0\)

Make the factors of this quadratic equation

\(22x^2 + 22x -40x - 40 = 0\)

Now take common values 22x and 40 from the equation then

\(22x (x + 1) -40 (x + 1) = 0\)

Then it become

\((22x - 40) (x + 1) = 0\)

Then the values of x become from the equation is

\(x = -1, x= 40/22\)

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

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The function as time is t = √[-h/16 + 31.25] and the time to reach 250 meters is 3.95 seconds

A height function is a function that represents height in relation to time

The equation of the function is given as

h(t) = 500-16t²

Rewrite the function as

h = 500 - 16t²

Subtract 500 from both sides

-16t² = h - 500

Divide both sides by -16

t² = -h/16 + 31.25

Take the square roots of both sides

t = √[-h/16 + 31.25]

This means that

h = 250

So, we have

t = √[-250/16 + 31.25]

Evaluate

t = 3.95

Hence, the time is 3.95 seconds

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Answer:

10

Step-by-step explanation:

10

Answer:

B and C are both in slope-intercept-form.

Step-by-step explanation:

Slope Intercept Form is --> y = mx + b, where m is the slope, and b is the y-intercept.

Both B and C have a slope (-6/4 for B, -3/2 for C) and both have a y-intercept (8/4 or 2).

I hope this helps. Please mark me brainliest!

For the given condition the age of the son will be 69 years.

A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.

Suppose the two-digit number is x,

The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,

(10x+y) -(10y+x)=27

9x-9y=27

x-y=27/9

x-y=3

The value of x and y will be 4 and 1.

At x=9 and y=6, the age of the son is obtained as,

=10×6+9

=69 years

Thus, the age of the son will be 69 years.

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The length of the hypotenuse with legs 8 units and 6 units is 10 units and with leg 8 units and 15 units is 17 units. We calculate the length of a leg of the right triangle by using formula    \(h ^ {2} = p ^ {2} + b ^{2}\)

If one of the angles in a triangle is 90 degrees, the triangle is said to have a right angle. The term "right angle" refers to angles in right triangles that are 90 degrees. The side opposite in a 90° angle is the hypotenuse. The hypotenuse is always the longest side. The sum of the other two inner angles is 90 degrees.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

length of legs = 8 units and 6 units

hypotenuse = \(\sqrt {8 ^ {2}+6 ^ {2}}\) = 10 units

length of legs = 8 units and 15 units

hypotenuse = \(\sqrt {8 ^ {2}+15 ^ {2}}\) = 17 units

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Answer:

x=2

Step-by-step explanation:

4(x+5)=32

4x+20=32

4x=8

x=2

Answer:

Simplifying

4(x + 5) = 32

Reorder the terms:

4(5 + x) = 32

(5 * 4 + x * 4) = 32

(20 + 4x) = 32

Solving

20 + 4x = 32

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20' to each side of the equation.

20 + -20 + 4x = 32 + -20

Combine like terms: 20 + -20 = 0

0 + 4x = 32 + -20

4x = 32 + -20

Combine like terms: 32 + -20 = 12

4x = 12

Divide each side by '4'.

x = 3

Simplifying

x = 3

Answer:

The equation becomes

\(7x+6 = 10x-12\)

Thus, the number = x = 6

Step-by-step explanation:

Let 'x' the number

seven times a number = 7x

Six more than seven times a number = 7x+6

10 times the number -12 = 10x-12

Given that Six more than seven times a number equals 10 times the number -12.

Thus, the equation becomes

\(7x+6 = 10x-12\)

We can further solve for x

\(7x+6 = 10x-12\)

\(6+12 = 10x-7x\)

\(18 = 3x\)

\(x = 6\)

Thus, the number = x = 6

Answer:

A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 times 4 is 20 divided by 2 is 10 hope this helps

Answer:

B

Step-by-step explanation:

There are several ways to find the vertex of function such as formula, completing the square or differential.

I will use the formula to find the vertex.

We are given the function:

\( \displaystyle \large{f(x) = - {x}^{2} + 4x - 3}\)

Vertex Formula

Let (h,k) = vertex

\( \displaystyle \large{ \begin{cases} h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} \end{cases}}\)

From the function, compare the coefficients:

\( \displaystyle \large{a {x}^{2} + bx + c = - {x}^{2} + 4x - 3}\)

Therefore:-

\( \displaystyle \large{ \begin{cases} h = - \frac{4}{2( - 1)} \\ k = \frac{4( - 1)( - 3)- {4}^{2} }{4( - 1)} \end{cases}}\)

Then evaluate for h-value and k-value.

\( \displaystyle \large{ \begin{cases} h = - \frac{4}{ - 2} \\ k = \frac{4( 3)- 16}{ - 4} \end{cases}} \\ \displaystyle \large{ \begin{cases} h = 2 \\ k = \frac{12 - 16}{ - 4} \end{cases}} \\ \displaystyle \large{ \begin{cases} h = 2 \\ k = \frac{ - 4}{ - 4} \end{cases}} \\ \displaystyle \large{ \begin{cases} h = 2\\ k = 1\end{cases}}\)

Therefore the vertex is (h,k) = (2,1)

Answer:

B (2.1)

Step-by-step explanation:

it was on a test i got it right

Answer:

-6m+3

Step-by-step explanation:

Answer:

An equivalent value is -6m -n +3

Step-by-step explanation:

Given

-3(2m-1)-n   expand

=-6m+3-n

(also equals -6m -n +3 by commutativity)

Answer:

-22

Step-by-step explanation:

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