A package of 4 pairs of insulated socks costs ​$35.56 What is the unit price of the pairs of socks​?

Answer:375 milligrams of calcium.

Step-by-step explanation:

300/8 = 37.5

37.5 x 10 = 375 milligrams of calcium.

Answer: 375 mg

Step-by-step explanation:

You would do 300/8, which would give 37.5

So 37.5 mg per ounce

Then you multiply by 10 and boom, you got 375 mg in 10 ounces of milk

Hope this helps!! c:

Answer:

I'd say (x,y) --> (2x,2y)

Step-by-step explanation:

Please understand if I'm wrong because I couldn't enhance the image. The quality made it a bit hard for me to accurately tell.

Sorry if I'm wrong.

The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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Answer:

\(\large\boxed{\tt x = 2}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for x in the given equation.}\)

\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)

\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{How is this possible?}}\)

\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)

\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)

\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)

\(\textsf{of once.}\)

\(\large\underline{\textsf{For our problem;}}\)

\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)

\(\textsf{Property of Equality;}/tex]

\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)

\(\tt - x^{3} = 8\)

\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)

\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)

\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)

\(\underline{\textsf{Evaluate;}}\)

\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)

\(\textsf{*Note;}\)

\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)

\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)

\(\underline{\textsf{We should have;}}\)

\(\tt -x=2\)

\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)

\(\large\boxed{\tt x = 2}\)

(a) The statement (a) is FALSE.

Explanation:

To determine the truth value of the statement, we need to find an element x in C such that if x belongs to C, then {x} is a subset of A. Let's analyze each element of C:

For x = {1}: Since {1} is an element of C and {1} contains the element 1, we need to check if {1} is a subset of A. However, {1} is not a subset of A because A does not contain the element 1. Therefore, the condition is not satisfied.

For x = {2,3}: {2,3} is an element of C and {2,3} contains the elements 2 and 3. We need to check if {2,3} is a subset of A. However, {2,3} is not a subset of A because A only contains the elements 1, 2, and 3 individually, not as a set. Therefore, the condition is not satisfied.

For x = {2}: {2} is an element of C and {2} contains the element 2. We need to check if {2} is a subset of A. Since {2} is a subset of A (as A contains the element 2), the condition is satisfied.

Since there exists at least one element in C (x = {2}) that satisfies the condition, the statement (a) is FALSE.

(b) The statement (b) is TRUE.

Explanation:

To determine the truth value of the statement, we need to check if for every element x in A, {x} is a subset of A. Let's analyze each element of A:

For x = 1: {1} is a subset of A because A contains the element 1. This condition is satisfied.

For x = 2: {2} is a subset of A because A contains the element 2. This condition is satisfied.

For x = 3: {3} is a subset of A because A contains the element 3. This condition is satisfied.

Since for every element x in A, {x} is a subset of A, the statement (b) is TRUE.

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Answer:f(x)=3x^2+36x+33

0,-75

Step-by-step explanation:

your welcome plus just got it

Answer:

yes, correct me if im wrong

Step-by-step explanation:

No it is not a direct variation or A

Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.

The value of h'(2) is 25

The chain rule is a fundamental rule in calculus that provides a method to differentiate composite functions.

A composite function is a function that is formed by taking the output of one function and using it as the input of another function.

For instance, if we have two functions f(x) and g(x), then the composite function h(x) can be defined as h(x) = f(g(x)), where g(x) is the input to f(x).

here we have

h(x) = √6 + 5f(x)

Derivative of h(x) with respect to x

h'(x) = d/dx (√6 + 5f(x))

h'(x) = d/dx (√6) + d/dx (5f(x))

h'(x) = 0 + 5f'(x)

h'(x) = 5f'(x)

Now substitute x = 2 and f'(2) = 5, to find h'(2)

h'(2) = 5f'(2)

h'(2) = 5(5)

h'(2) = 25

Therefore,

The value of h'(2) is 25

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Complete Question:

If h(x) = √6 + 5f(x), where f(2)= 6 and f'(2) = 5, find h'(2).

Answer:

2f =c

350c + 500f = 4800

Step-by-step explanation:

Twice as many cans of soup as frozen dinners

All food combined contain 4800 (mg of sodium)

2f =c

350c + 500f = 4800

These are the systems of equations.

The blanks in this two-column proof should be filled as follows:

Statements                                             Reasons_______________

m∠1 = m∠3                                                Given

m∠CBA = m∠ABE + m∠CBD            Angle Addition Postulate  

m∠ABE = m∠3 + m∠2              Substitution Property of Equality          

m∠CBD = m∠3 + m∠2              Substitution Property of Equality

m∠ABE ≅ m∠CBD                    Transitive Property of Equality

In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.

This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.

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Answer:

I believe the answer is function

Step-by-step explanation:

from the figure above, we can say that △ABC ~ △DEC by "AA", so then we can say

\(\cfrac{(x+7)+34}{34}=\cfrac{15+3x}{3x}\implies \cfrac{x+41}{34}=\cfrac{15+3x}{3x} \\\\\\ 3x^2+123x=510+102x\implies 3x^2+21x-510=0 \\\\\\ 3(x^2+7x-170)=0\implies x^2+7x-170=0 \implies (x-10)(x+17)=0 \\\\\\ x= \begin{cases} ~~ 10 ~~ \checkmark\\ -17 \end{cases}\hspace{5em}\stackrel{\textit{\LARGE AB}}{15+3(10)}\implies 45\)

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

B; the angles of the triangle and the hypothnuse can be multiplied.

The blue region indicated by the Venn diagram can be notated using set notation as A ∩ B or using symbolic representation as C = A ∩ B.

When representing the blue region of a Venn diagram, there are two common ways to notate it: using set notation and using symbolic representation.

1. Set Notation: In set notation, each circle in the Venn diagram represents a set. Let's assume the sets represented by the circles are A and B. The blue region corresponds to the intersection of sets A and B, meaning the elements that are common to both sets. To notate this, we use the symbol ∩, which represents the intersection. Therefore, the blue region can be notated as A ∩ B.

2. Symbolic Representation: Another approach is to use a symbolic representation to notate the blue region. In this case, we can assign a variable, such as C, to represent the blue region. To indicate that C represents the intersection of sets A and B, we write C = A ∩ B. This notation clarifies that C represents the elements that belong to both sets A and B.

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The investment in the government bond has the lowest risk. Since it is not dependent on the market situation.

What is real estate?

Real estate is any immovable property of this kind that has a stake in a piece of land, a building, or housing in general. It also includes the natural resources on the land, such as water, crops, minerals, and minerals.

What is mutual fund?

A mutual fund is an investment vehicle that is professionally managed and collects money from a number of investors to buy securities. The phrase is frequently used in the US, Canada, and India, while open-ended investment companies in the UK and SICAVs in Europe are comparable global structures.

Stock market: One of the finest methods to make money is through stock investments. Any investor can successfully use stocks to attain their long-term financial goals with a smart investment plan and data-driven judgements. Every investment carries a certain level of risk.

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Percentages greater than 100% can be expressed as x% where x is any real number

As a general rule, percentages are represented by %

Take for instance

x% is pronounced x percentage

Where x is any real number

Whether x is greater than 100 or not, the format of the expression remains the same

i.e. 150 percent is written as 150% and 25 percent is written as 25%

Hence, percentages greater than 100% can be expressed as x% where x is any real number

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The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.

\(V_1 =\) VOLUME OF CYLINDRICAL TIN

   \(= \pi r^2 h\)

  \(=\frac{22}{7}\) x 6 x 6 x 14

  = 44 x 36

  = 1584 \(cm^3\)

\(V_2 =\) VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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Answer:

15

Step-by-step explanation:

Answer:

There were 64 boys

Step-by-step explanation:

80/(4+1) is 16.

16*4 is 64

pls mark me brainliest if this helps :)

Answer:

Step-by-step explanation:

Im going to need all the dat of all 50 states but heres how you do it.

List those numbers from smallest to largest.

The cancel them out meanign cancel out the first and the last, second and the second last, and keep on going untill you reach one number. If the case is that you dont reach one number then you'll have to work out the average meaning your gonna have to add those two numbers up and then divide by 2

Answer:

x=25

Step-by-step explanation:

60°+95°+X=180°

X=180°-60°+95°

X=180°-155

X=25°

Step-by-step explanation:

5x

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Answer:

8*(3/2)^x =f(x)