Do you guys understand this an quite not sure how but help how its done, no link plz

Answer:

x > -5

Step-by-step explanation:

e=3.

So this is how I approached this. Since 7 is being multiplied, I divided both sides by 7 so 105/7 = 15. Then it becomes simple as 5e=15. We divide both sides by 5 and get e=3. Tip: just try isolating the variable and then life is much easier.

Answer:

e = 3

Step-by-step explanation:

7 × 5e = 105

35e = 105

35e ÷ 35 = 105 ÷ 35

e = 3

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

The acute angle between the intersecting lines x = 3t, y = 8t, z = -4t and x = 2 - 4t, y = 19 + 3t, z = 8t is 81.33 degrees and can be calculated using the formula θ = cos⁻¹((a · b) / (|a| × |b|)).

First, we need to find the direction vectors of both lines, which can be calculated by subtracting the initial point from the final point. For the first line, the direction vector is given by `<3, 8, -4>`. Similarly, for the second line, the direction vector is `<-4, 3, 8>`. Next, we need to find the dot product of the two direction vectors by multiplying their corresponding components and adding them up.

`a · b = (3)(-4) + (8)(3) + (-4)(8) = -12 + 24 - 32 = -20`.

Then, we need to find the magnitudes of both direction vectors using the formula `|a| = sqrt(a₁² + a₂² + a₃²)`. Thus, `|a| = sqrt(3² + 8² + (-4)²) = sqrt(89)` and `|b| = sqrt((-4)² + 3² + 8²) = sqrt(89)`. Finally, we can substitute these values into the formula θ = cos⁻¹((a · b) / (|a| × |b|)) and simplify. Thus,

`θ = cos⁻¹(-20 / (sqrt(89) × sqrt(89))) = cos⁻¹(-20 / 89)`.

Using a calculator, we find that this is approximately equal to 98.67 degrees. However, we want the acute angle between the two lines, so we take the complementary angle, which is 180 degrees minus 98.67 degrees, giving us approximately 81.33 degrees. Therefore, the acute angle between the two intersecting lines is 81.33 degrees.

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The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.

The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.

Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.

The following formula gives the likelihood that we will discover a value for X between c and d,

\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)

Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.

Then,

\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)

The answer is 14.29%.

The complete question is -

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?

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Answer: Decreasing

Step-by-step explanation: The slope of the graph on (2, 5) is negative.

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

Answer:

2 times

Step-by-step explanation:

(1) By 1716 different ways can the offices be filled if each person can hold at most one office.

(2) By 132 number of ways Caden can be the chairperson.

(3) By 1320 of the 1716 total ways the offices can be filled,

(1) If each person can hold at most one office, there are 13 people to choose from for the first office, 12 people remaining to choose from for the second office, and 11 people remaining to choose from for the third office.

Therefore, the number of different ways the offices can be filled is:

13 * 12 * 11 = 1716 ways

(2) If Caden is the chairperson, there are 12 people to choose from for the second office and 11 people remaining to choose from for the third office.

Therefore, the number of ways Caden can be the chairperson is:

12 * 11 = 132 ways

(3) If Caden is an officer, there are 12 people to choose from for the first office, 11 people remaining to choose from for the second office, and 10 people remaining to choose from for the third office.

Therefore, the number of ways Caden can be an officer is:

12 * 11 * 10 = 1320 ways

So, in 1320 of the 1716 total ways the offices can be filled, Caden is one of the elected officers.

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The sum of x and 9.4 will be x + 9.4.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Let's say that number is x

Saying sum x with 9.4 means we need to add x and 9.4

So,

⇒ x + 9.4

Hence "The sum of x and 9.4 will be x + 9.4".

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6/8.50=2 we get 35 ticket did help

A plane in r3 is defined parametrically as the set of points is n · u * b + n · v * c = n · (P - a).

To give an implicit description of a plane in R3, we need to find a single equation that describes all the points in the plane.

Let's assume that the plane is defined parametrically as the set of points:

P(u,v) = a + u * b + v * c

where a, b, and c are vectors in R3 and u and v are parameters.

To find the implicit equation, we can start by taking the cross product of the vectors b and c, which gives us a normal vector to the plane. Let's call this vector n.

n = b x c

Next, we can take the dot product of the normal vector n with the vector (P - a), where P is any point on the plane. This will give us an equation that describes all the points in the plane:

n · (P - a) = 0

Expanding this equation, we get:

n · (u * b + v * c) = n · (P - a)

Simplifying further, we get:

n · u * b + n · v * c = n · (P - a)

This is the implicit equation of the plane in R3.

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The measure of the inscribed angle y in the circle is 60 degrees.

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

An inscribed angle is expressed as:

Inscribed angle = 1/2 × intercepted arc.

From the diagram:

Inscribed angle y =?

Intercepted arc of angle y = 120 degrees

Plug the given value into the above formula and solve for the Inscribed angle y:

Inscribed angle = 1/2 × intercepted arc.

Inscribed angle y = 1/2 × 120°

Inscribed angle y = 60°

Therefore, angle y measures 60 degrees.

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Answer:

A

Step-by-step explanation:

How dry and tough the meat is

Answer:

The answer's A

Step-by-step explanation:

Hope this helped! :)

Answer:

4

Step-by-step explanation:

2/3 for 1 jar | meaning that: 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 3/3 are left, and that makes another one (the 4th one).

Answer:

The SI unit for measuring mass is the kilogram

Step-by-step explanation:

I would show if they were right but the check marks kind of get in the way, sorry if this is too late.

The  two-way table with the joint and marginal relative frequencies is as follows:

         | Left    | Right   | Total

Female    | 0.048   | 0.450   | 0.498

Male      | 0.104   | 0.398   | 0.502

Total     | 0.151   | 0.848   | 1.000

A two-way frequency table, also known as a contingency table, is a tabular representation of categorical data that shows the frequency or count of observations for each combination of two categorical variables.

As, the joint relative frequencies represent the proportion of individuals who fall into both categories (e.g., female and left-handed, male and right-handed),

while the marginal relative frequencies represent the proportion of individuals in each category independently (e.g., the proportion of females and the proportion of left-handed individuals).

Here is the two-way table showing the joint and marginal relative frequencies:

         | Left   | Right  | Total

Female    | 11     | 104    | 115

Male      | 24     | 92     | 116

Total     | 35     | 196    | 231

To calculate the joint relative frequencies,

To calculate the marginal relative frequencies, we divide the row and column totals by the total number of individuals (231):

Marginal relative frequency of left-handed individuals: 35/231 ≈ 0.151

Marginal relative frequency of right-handed individuals: 196/231 ≈ 0.848

Marginal relative frequency of females: 115/231 ≈ 0.498

Marginal relative frequency of males: 116/231 ≈ 0.502

Therefore, the two-way table with the joint and marginal relative frequencies is as follows:

         | Left    | Right   | Total

Female    | 0.048   | 0.450   | 0.498

Male      | 0.104   | 0.398   | 0.502

Total     | 0.151   | 0.848   | 1.000

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Answer:

x = 2

Step-by-step explanation:

First distribute:

-3 (x+4) = 6(-x-1)

-3x -12 = -6x -6

Isolate the variable:

-6 = -3x

Simplify:

-6/3 = x

x = 2

Hope this helps!

so hmmm let's call them P(2, 4) and Q(10, 8)

\(\textit{internal division of a segment using a fraction}\\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{10}~,~\stackrel{y_2}{8})~\hspace{8em} \frac{1}{4}\textit{ of the way from P to Q} \\\\[-0.35em] ~\dotfill\)

\((\stackrel{x_2}{10}-\stackrel{x_1}{2}~~,~~ \stackrel{y_2}{8}-\stackrel{y_1}{4})\qquad \implies \qquad \stackrel{\stackrel{\textit{component form of}}{\textit{segment PQ}}}{\left( 8 ~~,~~ 4 \right)} \\\\[-0.35em] ~\dotfill\\\\ \left( \stackrel{x_1}{2}~~+~~\frac{1}{4}(8)~~,~~\stackrel{y_1}{4}~~+~~\frac{1}{4}(4) \right) \implies \boxed{(4~~,~~5)}\)

The corresponding eigenvalues for the given matrix and vector pairs are:

1. Eigenvalue: λ = -2

2. Eigenvalue: λ = -2

3. Eigenvalue: λ = -3

4. Eigenvalue: λ = -10

5. Eigenvalue: λ = -5

1. Matrix: \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

To check if [1; -2] is an eigenvector,

we need to solve the equation Av = λv:

                          \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)  \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

                            \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)  \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)  = \(\left[\begin{array}{cc}\lambda\\-2\lambda\end{array}\right]\)

Solving this system of equations,  λ = -2.

2. Matrix: \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\1\end{array}\right]\)

To check if [1; 1] is an eigenvector, we need to solve the equation

Av = λv:

                         \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\) = \(\lambda \left[\begin{array}{cc}1\\1\end{array}\right]\)

This simplifies to:

                         \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\) = \(\left[\begin{array}{cc}\lambda\\\lambda\end{array}\right]\)  

Solving this system of equations, we find that λ = -2.

3. Matrix: \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

  To check if [1; -2] is an eigenvector, we need to solve the equation Av = λv:

                                            \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\) \(\left[\begin{array}{cc}1\\-2\end{array}\right]\) = λ \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

  This simplifies to:

                                                   \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\) \(\left[\begin{array}{cc}1\\-2\end{array}\right]\) =  \(\left[\begin{array}{cc}\lambda\\-2\lambda\end{array}\right]\)

  Solving this system of equations, we find that λ = -3.

4. Matrix: \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  

  To check if [1; 1] is an eigenvector, we need to solve the equation Av = λv:

                                    \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  = λ \(\left[\begin{array}{cc}1\\1\end{array}\right]\)

  This simplifies to:

                                     \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  =  \(\left[\begin{array}{cc}\lambda\\\lambda\end{array}\right]\)

  Solving this system of equations, we find that λ = -10.

5. Matrix: \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}3\\1\end{array}\right]\)

  To check if [3; 1] is an eigenvector, we need to solve the equation Av = λv:

                                        \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\) \(\left[\begin{array}{cc}3\\1\end{array}\right]\) = λ \(\left[\begin{array}{cc}3\\1\end{array}\right]\)

This simplifies to:

                                       \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\) \(\left[\begin{array}{cc}3\\1\end{array}\right]\) = λ \(\left[\begin{array}{cc}3\lambda\\\lambda\end{array}\right]\)

Solving this system of equations, we find that λ = -5.

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The lateral area of the square pyramid in this problem is given as follows:

672 ft².

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

Considering a right triangle with sides of 14/2 = 7 ft and h ft, and hypotenuse of 25 ft, applying the Pythagorean Theorem, the height of each lateral face is given as follows:

h² + 7² = 25²

\(h = \sqrt{25^2 - 7^2}\)

h = 24.

The lateral area of the pyramid is composed by four triangles of base 14 ft and height 24 ft, hence it is given as follows:

LSA = 4 x 1/2 x 14 x 24

LSA = 672 ft².

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Answer: Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3.

Step-by-step explanation:

Given: Deb transformed △RST so that △RST~ΔR'S'T'. Point R is located at (4, 2) and point R' is located at (-12, 6).

Clearly, both coordinates is multiplied by 3 and polarity of x-coordinate changed.

i.e. she reflected △RST over y-axis such that \((x,y)\to(-x,y)\)

then she dilated it by using a scale factor of 3 such that \((-x,y)\to (-3x,3y)\)

hence, the correct series of transformation:

Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3.

Answer:

The metallurgist should use 3 ounces of the 30 % copper alloy and 9 ounces of the 50 % copper alloy to make 12 ounces of 45 % copper alloy.

Step-by-step explanation:

The ounce is a mass unit, as we notice that the metallurgist wants to make 12 ounces of an alloy containing 45 % copper by mixing two metal with different copper proportions. We can use the following two equations:

Alloys

\(m_{R} = m_{A}+m_{B}\) (Eq. 1)

Copper

\(r_{R}\cdot m_{R} = r_{A}\cdot m_{A}+r_{B}\cdot m_{B}\) (Eq. 2)

Where:

\(m_{A}\) - Mass of the 30 % copper alloy, measured in ounces.

\(m_{B}\) - Mass of the 50 % copper alloy, measured in ounces.

\(m_{R}\) - Mass of the 45 % copper alloy, measured in ounces.

\(r_{A}\) - Proportion of copper in the 30 % copper alloy, dimensionless.

\(r_{B}\) - Proportion of copper in the 50 % copper alloy, dimensionless.

\(r_{R}\) - Proportion of copper in the 45 % copper alloy, dimensionless.

Now, the mass of the 50 % copper alloy is cleared in Eq. 1 and eliminated in Eq. 2:

\(r_{R}\cdot m_{R} = r_{A}\cdot m_{A} + r_{B}\cdot (m_{R}-m_{A})\)

\((r_{R}-r_{B})\cdot m_{R} = (r_{A}-r_{B})\cdot m_{A}\)

And we clear and calculate the mass of the 30 % copper alloy:

\(m_{A} = m_{R}\cdot \left(\frac{r_{R}-r_{B}}{r_{R}-r_{A}} \right)\)

If we know that \(m_{R} = 12\,oz\), \(r_{R} = 0.45\), \(r_{A} = 0.30\) and \(r_{B} = 0.50\), the mass of the 30 % copper alloy:

\(m_{A} = (12\,oz)\cdot \left(\frac{0.45-0.50}{0.30-0.50} \right)\)

\(m_{A} = 3\,oz\)

And the mass of the 50 % copper alloy is:

\(m_{B} = m_{R}-m_{A}\)

\(m_{B} = 12\,oz-3\,oz\)

\(m_{B} = 9\,oz\)

The metallurgist should use 3 ounces of the 30 % copper alloy and 9 ounces of the 50 % copper alloy to make 12 ounces of 45 % copper alloy.

C should be the answer. I cant explain it because its hard to explain

Answer:

  a) 45

  b) 8

Step-by-step explanation:

There are a couple of ways to look at this.

1) Looking at the ratio, you can figure one number from the other.

2) Find what number the ratio must be multiplied by to give the ratio numbers you need

__

The ratio tells you the number of children is 9 times the number of adults. If there are 5 adults, there can be 9×5 = 45 children.

You recognize that multiplying the number of adults by 5 will give 5 adults. Then multiplying the number of children by 5 will give the corresponding number of children:

  1 : 9 = 5 : 45 (both numbers multiplied by 5)

There can be 45 children.

__

The number of adults needed is 1 for every 3 children, or 1/3 of the number of children. When there are 24 children, 1/3×24 = 8 adults are needed.

We recognize that 24 is 3 times 8, so the ratio must be multiplied by 8 to make the children number match:

  1 : 3 = 8 : 24 (both numbers multiplied by 8)

8 adults are needed.

On solving the provided question, we can say that here in this rhombus,

angle 1 is 106 and  angle 2 and 3 are 37 each

A rhombus is an equal-sided quadrilateral in Euclidean plane geometry. The term "equilateral triangle" also refers to a quadrilateral whose sides are of the same length. A parallelogram has a unique variation known as a rhombus. In a rhombus, the opposite sides and angles are parallel and equal. A rhombus's diagonal is split in half by a right angle, and each of its sides is the same length. Rhombic diamonds and diamonds are other names for rhombuses. The length of every side is the same. Diagonals are equal in a rhombus. At a 90° angle, parallel lines split in half. 180 degrees is the sum of adjacent angles.

here in this rhombus,

angle 1 is 106

other two side are 360-106-106 = 148

148/2 = 74

so angle 2 and 3 are 37 each

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Answer:

12- (1d) = x

Step-by-step explanation:

starting money- (money used x days)= money left

Given:

The figure of circle E. \(m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ\).

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

\(\angle ABD\) and \(\angle ACD\) are inscribed angles on the same arc AD. So,

\(m\angle ABD=m\angle ACD\)

\(11x-3=8x+15\)

\(11x-8x=3+15\)

\(3x=18\)

\(x=6\)

Now,

\(m\angle ABD=(11x-3)^\circ\)

\(m\angle ABD=(11(6)-3)^\circ\)

\(m\angle ABD=(66-3)^\circ\)

\(m\angle ABD=63^\circ\)

We know that the intercepted arc is always twice of the inscribed angle.

\(m(Arc(AD))=2\times m\angle ABD\)

\(m(Arc(AD))=2\times 63^\circ\)

\(m(Arc(AD))=126^\circ\)

Therefore, the measure of arc AD is 126 degrees.