What is 127 divided by 4

The value of the angle Q is 25 degrees

It is important to note the following;

From the information given, we have that;

m<P = 90 degrees

m<R = 2x - 5

m<Q = x - 10

Now, equate the angles

m<P +m<R + m< Q = 80 substitute the values

90 + 2x - 5 + x - 10 = 180

collect the like terms

3x = 180 - 75

subtract the values

3x = 105

Divide by the coefficient of x

x = 35

Then, m<Q = 35 - 10 = 25 degrees

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Solution:

As we know that f(x) = y

∴ y = f-1(x) ----------> (1)

Given f(x) = 4x

y = 4x

To find the inverse of the f(x), put y for all values of x and x for all values of y.

x = 4y

Divide both sides by 4.

x/4 = y

Using eq (1).

y = 1/ 4x or x / 4

Which represents the inverse of the function f(x) = 4x?

h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x

Summary:

The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

Answer:

Base of the triangle = 7 cm

Step-by-step explanation:

Given information,

→ Area of triangle = 35 cm

→ Height = 10 cm

Now we have to,

→ Find the base of the triangle.

Formula we use,

→ Area = ½ × b × h

Forming the equation,

→ (1/2) × b × 10 = 35

Then the value of b will be,

→ (1/2) × b × 10 = 35

→ (b × 10)/2 = 35

→ 10b/2 = 35

→ 10b = 35 × 2

→ 10b = 70

→ b = 70/10

→ [ b = 7 cm ]

Hence, the value of b is 7 cm.

The value of function is positive so the function have maximum value 30 at x=3.

In the given question we have to find the maximum or the minimum value of a function.

The given function is

f(x) = -3x^2+18x+3

To find the maximum or minimum value we firstly find the value of f'(x).

f'(x) = -6x+18

Now put f'(x)=0

-6x+18=0

Subtract 18 on both side we get

-6x=-18

Divide by -6 on both side we get

x = 3

Now finding the value of function at x=3

f(3)= -3*(3)^2+18*3+3

f(3)= -3*9+54+3

f(3)= -27+54+3

f(3)= 30

Since the value of function is positive so the function have maximum value 30 at x=3.

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The vectors a₁, a₂, and a₃ span a 3-dimensional subspace U. a₁, a₂, and a₃ are linearly independent. a₄ = 1a₁ - 2a₂ + 1*a₃.

To show this, we check if they are linearly independent. Next, we demonstrate that a₄ belongs to U by expressing it as a linear combination of a₁, a₂, and a₃. To determine if the vectors a₁, a₂, and a₃ span a 3-dimensional subspace U, we need to verify if they are linearly independent. We can do this by constructing a matrix with these vectors as its columns and performing row reduction to check for linear dependence. Creating the matrix:

[0 1 1]

[1 1 2]

[2 4 6]

[2 0 2]

[0 0 1]

Performing row reduction on the matrix: [R2 = R2 - R1, R3 = R3 - 2R1]

[0 1 1]

[1 0 1]

[2 2 4]

[2 0 2]

[0 0 1]

[R3 = R3 - 2R2]

[0 1 1]

[1 0 1]

[2 2 4]

[0 -2 0]

[0 0 1]

[R4 = R4 + 2R2]

[0 1 1]

[1 0 1]

[2 2 4]

[0 0 2]

[0 0 1]

[R1 = R1 - R2]

[0 1 0]

[1 0 1]

[2 2 4]

[0 0 2]

[0 0 1]

[R3 = R3 - 2R2, R4 = R4 - 2R2]

[0 1 0]

[1 0 1]

[0 2 2]

[0 0 2]

[0 0 1]

[R3 = R3/2, R4 = R4/2]

[0 1 0]

[1 0 1]

[0 1 1]

[0 0 1]

[0 0 1]

Since we have reached the reduced row-echelon form with three non-zero rows, it confirms that a₁, a₂, and a₃ are linearly independent. Therefore, they span a 3-dimensional subspace U. To show that a₄ belongs to U, we need to express it as a linear combination of a₁, a₂, and a₃. We solve the equation:

x₁a₁ + x₂a₂ + x₃a₃ = a₄

Using the given vectors:

x₁(0,1,2,2,0) + x₂(1,1,4,0,0) + x₃(1,2,6,2,1) = (-1,2,2,6,-1)

Expanding the equation component-wise:

(0x₁ + x₂ + x₃) = -1

(x₁ + x₂ + 2x₃) = 2

(2x₁ + 4x₂ + 6x₃) = 2

(2x₁ + 0x₂ + 2x₃) = 6

(0x₁ + 0x₂ + x₃) = -1

Solving this system of equations, we find x₁ = 1, x₂ = -2, and x₃ = 1. Therefore, we can express a₄ as a linear combination of a₁, a₂, and a₃:

a₄ = 1a₁ - 2a₂ + 1*a₃.

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Answer:

the 8 in the graph

Step-by-step explanation:

Answer:

20.03

Step-by-step explanation:

distance ran For 1st day+distance ran For 2nd day+distance ran For 3rd day.

3.99+10.6.4=20.03

Answer:

39°

Step-by-step explanation:

The given angles has equal angle measurement

4x + 7 = 6x - 9 add like terms

16 = 2x

8 = x

4x + 7 ➡ 4 × 8 + 7 = 39°

Answer: -4

Step-by-step explanation:

So, for y=3x-7, substitute the x with 1 (from (1,?) ) which gives you y=3(1)-7. Lastly, when you solve the equation, it would give you y=-4.

The soap from Seventh Generation brand cost less than Method brand.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

The Method brand that is $5. 49 for 36 oz

So, the unit rate of soap

= 5.49 / 36

= $ 0.1525

and, The Seventh Generation brand that is $3. 39 for 25 oz

So, the unit rate of soap

= 3.39/ 25

= $0.1356

So, the soap from Seventh Generation brand is cheaper.

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≈ 21.4 units

Hi there !

Volume formula

V = πr²×h/3

3V = πr²

r² = 3V/π

r = √3V/π

replace

r = √3×480/3.14

= √1440/3.14

= √4586

≈ 21.4 units

Good luck !

Answer:

60

Step-by-step explanation:

\(\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}\)

The type of sampling described in the scenario is c. Cluster sampling.

Cluster sampling involves dividing the population into clusters or groups and randomly selecting some of these clusters. In this case, the state is subdivided into counties, which act as the clusters. Seven counties are selected at random, and further sampling is concentrated on these seven counties.

Cluster sampling is commonly used when it is not feasible or practical to directly sample individuals from the entire population. Instead, clusters or groups are randomly selected, and then a sample is taken from each of these clusters. This approach can be more efficient and cost-effective compared to other sampling methods, especially when the clusters are internally heterogeneous.

In this scenario, the initial random selection of the seven counties represents the cluster sampling, as subsequent sampling is focused on these specific clusters.

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The remaining amount of money in Denise's account is $250 - (2x).

Therefore, if Denise buys x bottles of water, she will have $250 - (2x) remaining in her account.

Denise has $250 in her checking account.

Each time she buys a bottle of water, she spends $2.

If Denise buys x bottles of water, the total amount of money spent is 2x.

To calculate the remaining amount in Denise's account, we need to subtract the total amount of money spent (2x) from the original amount of money in her account (250).

Therefore, the formula to calculate the remaining amount is $250 - (2x).

Substituting the value of x in the formula, we get the remaining amount of money in Denise's account.

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For every bottle of water Denise buys her balance decreases by $2. So If Denise buys x bottles of water, her balance decreases by $2 * x.

Let's call the amount of money remaining in Denise's account after buying x bottles of water M.

The equation to find M is:

M = 250 - 2x

This equation says that the money remaining in Denise's account is equal to her initial $250 balance minus the amount she spent on buying x bottles of water, which is $2 per bottle.

In other words, for every bottle of water Denise buys, her balance decreases by $2. So, if she buys x bottles of water, her balance decreases by $2 * x.

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Answer:

Increase?

Step-by-step explanation:

Because think about it let's use 1/2 as an example.

1/2 equals .5 now lets add 2 to both the numerator and denominator

3/4 is the result and it also equals .75 which is larger than .5 so that's why the answer is increase.

and u can keep on going on with the method

4/5=.8

If equal amounts are added to the numerator and the denominator of the current ratio, the ratio will always decrease.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Let m be the positive number.

And the ratio is p:q = p/q.

If equal amounts are added to the numerator and the denominator of the current ratio is,

(p+m)/(q+m).

The ratio will always decrease.

Therefore, the ratio will always decrease.

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Answer:

2/3

Step-by-step explanation:

1, 2,4, 6

so that’s 4 numbers out of 6 so 4/6, 2/3

Answer:

2/3

Step-by-step explanation:

TOTAL number of outcomes=6

outcomes possible=4. (1,2,4,6)

P= 4/6=2/3

A corporate bond has a face value of p dollars. The interest each year is 6% of the face value.  the total interest /, in dollars, as a function of the age f, in years, of the bond is

a)I(f) = 0.06 * f * p

b) P(f) = I(f) + p

Generally, (a) The total interest, in dollars, as a function of the age f, in years, of the bond can be expressed as:

I(f) = 0.06 * f * p

This represents the total interest paid over f years, which is calculated by multiplying the annual interest rate (0.06), the number of years (f), and the face value of the bond (p).

(b) The payout P, in dollars, as a function of f can be expressed as:

P(f) = I(f) + p

This represents the total payout over f years, which is calculated by adding the total interest paid (I(f)) and the face value of the bond (p).

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Answer:

g = 7

Step-by-step explanation:

Follow the attachment.

Solving four less than the product of eight and the number g is equal to ten more than g is equal t0 2.

To write the word sentence as an algebraic equation:

In this exercise, we are required to translate the word sentence into a mathematical (algebraic) expression and solve for the unknown variable (number):

Four less than the product of eight and the number g:

\(8g-4\)   ....equation 1.

Ten more than g:

\(g+10\)   ...equation 2.

Equating the two equations, we have:

\(8g-4=g+10\\\\8g-g=10+4\\\\7g=14\\\\g=\frac{14}{7}\)

g = 2

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Answer:

(a+b)² - 2ab

Step-by-step explanation:

it is a formula :)

Answer:

C.

Step-by-step explanation:

:>

Answer: Get a snack.

The required  cost of each shirt is $21.28.

A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.

The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:

3s + 7.99 = 71.83

To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:

3s = 63.84

Then, we can divide both sides by 3:

s = 21.28

Therefore, the cost of each shirt is $21.28.

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Answer:100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The equation models the median monthly cost for the rent of a one bedroom apartment in San Fransisco.

If the year 2013 can be counted as t=0

Then the next year 2014 will be t=1

And the next year, 2015, will be t=2

To determine how much less would James pay if he moved in 2014 instead of 2015, you have to calculate the median cost for both yeanrs and calculate their difference.

Median cost for 2015 (t=2)

Median cost for 2014 (t=1)

Subtract the median cost of 2014 to the median cost of 2015:

He woul have paid $250 less if he rented the place in 2014.

Answer:

36miles per hour

Step-by-step explanation:

1 hour = 60 minutes

20minutes x 3 = 60 minutes

12 miles x 3 = 36miles

answer

36 miles per hour

Answer:

-x² + 8x - 7

Step-by-step explanation:

Step 1: Write expression

(7 - x)(x - 1)

Step 2: FOIL (First Outside Inside Last)

7x - 7 - x² + x

Step 3: Combine like terms

-x² + 8x - 7

Answer:

-x^2 + 8x - 7

Step-by-step explanation:

(7 - x)(x - 1)

(7 * x) + (7 * -1) + (-x * x) + (-x * -1)

7x - 7 - x^2 + x

8x - 7 - x^2

-x^2 + 8x - 7

Best of Luck!

is it factorisatiom or solving equation?

Step-by-step explanation:

2m² + 2m - 12 divide the equation by 2

then: m² + m - 6

factorise: (m + 3)(m - 2)

solve m + 3 =0 or m - 2 =0

m= -3 or m = 2

Answer:

\(\boxed{\sf m=2,\:m=-3}\)

Step-by-step explanation:

\(\sf 2m^2+ 2m - 12 = 0\)

We can solve the problem by the quadratic equation:

\(\boxed{\sf x=\cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}\)

\(\sf a=2,\:b=2,\:c=-12\)

\(\sf m=\cfrac{-2\pm \sqrt{2^2-4\times \:2\left(-12\right)}}{2\times \:2}\)

lot's solve \(\sf \sqrt{2^2-4\cdot \:2\left(-12\right)}\)

Multiply 4 * 2* 12= 96

→ \(\sf \sqrt{2^2+96}\)

→ \(\sf \sqrt{4+96}\)

Add 4 + 96= 100

→ \(\sf \sqrt{100}\)

→ \(\sf \sqrt{10^2}\)

→ \(\sf 10\)

________________

\(\sf m=\cfrac{-2\pm \:10}{2\times \:2}\)

Separate solutions:

\(\sf m_1=\cfrac{-2+10}{2\times \:2}\)

Add/Subtract then Multiply:

→ \(\sf \cfrac{8}{2\times \:2}\)

Divide:

→ \(\sf \cfrac{8}{4}\)

→ \(\boxed{\sf 2}\)

______________________

Add/Subtract then Multiply:

\(\sf m_2=\cfrac{-2-10}{2\times \:2}\)

→ Divide:

→ \(\sf -\cfrac{12}{4}\)

→ \(\boxed {\sf -3}\)

Solutions:

\(\sf m=2,\:m=-3\)

_______________________________________

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Answer:

\(\boxed{x = -31}\)

\(\boxed{y = -62}\)

\(\boxed{z = -6}}\)

Step-by-step explanation:

There are a couple of properties of parallelograms that can help solve for the unknowns

Using property 1 that opposite angles are equal we have:
-4x - 5 = 119

⇒  -4x = 119 + 5

⇒ -4x = 124

⇒ x = 124/-4

⇒ x = -31

Using property 2 that consecutive angles are supplementary on angles
(-y - 1)° and 119°:

(- y - 1) + 119 = 180

⇒ - y - 1 + 119 = 180

⇒ - y + 118 = 180

⇒ - y = 180 - 118

⇒ - y = 62

⇒ y = -62

Using property 2 for angles (-10z - 1)° and 119°
(-10z + 1) + 119 = 180

- 10z + 1 + 119 = 180

⇒ - 10z + 120 = 180

⇒ -10z = 180 - 120

⇒ -10z = 60

⇒ z = 60/-10

⇒ z = -6

A. (a) Yes, f(x) is a function.

B. (a) f(4) = 5.

C. (a) There are no values of x for which f(x) = 3.

Explanation:

A. (a) A function is a relation between a set of inputs (x-values) and a set of outputs (y-values), where each input corresponds to exactly one output. In the given expression f(x) = x + 1, for every value of x, there is a unique value of f(x) = x + 1. Therefore, f(x) is a function.

B. (a) To find the value of f(4), we substitute x = 4 into the expression f(x) = x + 1. Therefore, f(4) = 4 + 1 = 5.

C. (a) We need to solve the equation f(x) = 3, which means we set x + 1 equal to 3 and solve for x. However, when we solve x + 1 = 3, we find that x = 2. So there are no values of x for which f(x) equals 3.

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