What is the equation through the points: (6, 10), (5, -6)

ASAP please

The value of the composite function t(s (2)) is 8

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

s(x) = -x + 5

t(x) = 2x + 2

The composite function t(s(x)) is calculated as

t(s(x)) = 2s(x) + 2

Substitute the known values in the above equation, so, we have the following representation

t(s(x)) = 2(-x + 5) + 2

Again, substitute the known values in the above equation, so, we have the following representation

t(s(2)) = 2(-2 + 5) + 2

Evaluate

t(s(2)) = 8

Hence, the value of t(s(2)) is 8

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

76.4°

Step-by-step explanation:

for figure see attachment.

from the figure,

mADC = mADB + mBDC

from the question,

mADB = (5x - 13.3)°

mCDB = (3x + 7.3)°

hence ,

mADC = (5x -13.3 + 3x + 7.3)°

mADC = (8x - 6)°

again , we know that the diagonals of a rhombus bisect each other . So the given two unknown angles are equal to each other. So that ;

5x - 13.3 = 3x +7.3

5x - 3x = 7.3+ 13.3

2x = 20.6

x = 20.6/2

x = 10.3

plug in this value of x in the measure of angle ADC as,

angADC = 8*10.3 -

angADC = 82 .4 - 6

angADC = 76.4°

and we are done!

Answer:

m∠ADC = 76.4°

Step-by-step explanation:

Properties of a Rhombus:

Each diagonal of a rhombus bisects the angle through which it passes.

Therefore, if rhombus ABCD has a diagonal BD, then BD bisects angle B and angle D.  This means that ∠ADB equals ∠CDB.

Therefore, to find the value of x, equate ∠ADB and ∠CDB:

\(\implies \angle ADB= \angle CDB\)

\(\implies (5x-13.3)^{\circ}=(3x+7.3)^{\circ}\)

\(\implies 5x-13.3=3x+7.3\)

\(\implies 2x=20.6\)

\(\implies x=10.3\)

Therefore, the measure of angles ADB and CDB are:

\(\implies \angle ADB= (5 \cdot 10.3-13.3)^{\circ}\)

\(\implies \angle ADB= (51.5-13.3)^{\circ}\)

\(\implies \angle ADB=38.2^{\circ}\)

\(\implies \angle CDB=38.2^{\circ}\)

The measure of angle ADC is the sum of angles ADB and CDB:

\(\implies \angle ADC= \angle ADB + \angle CDB\)

\(\implies \angle ADC=38.2^{\circ}+38.2^{\circ}\)

\(\implies \angle ADC=76.4^{\circ}\)

Therefore, the measure of angle ADC is 76.4°.

Answer:

it would be -2/3

since the equation layout is  formated like this:

F/G(-1)

you multiply -1 by everything.

Answer:

\(x^4-3x^2-x^2-4\)

Step-by-step explanation:

Given information.

P(x) = R(x) - C(x)

\(R(x) = 2x^4-3x^3+2x-1\)  and \(C(x) = 2x^4-x^2+2x+3\)

\((2x^4-3x^3+2x-1) - (x^4-x^2+2x+3)\)

Distribute the negative then solve by simplying either add or subtracting.

\((2x^4-3x^3+2x-1) +(-x^4+x^2-2x-3)\\\)

\((2x^4-x^4)-3x^3-x^2+(2x-2x)+(-1-3)\\\\(x^4) -3x^3-x^2+(0x)-4\\\\x^4 -3x^3-x^2-4\)

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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Answer:

500 -100 = 400

la respuesta es 400

Answer:

Left-hand side: \(\displaystyle -\frac{1}{2}\, \ln(5)\).

Right-hand side: \(\displaystyle \frac{1}{2}\, \ln(5) - \ln(5)\).

Step-by-step explanation:

Apply the logarithm power rule: \(\ln \left(x^{a}\right) = a\, \ln (x)\) for all \(x >0\).

This property is not only true for logarithm to the base \(e\), but for other bases, as well.

Take the logarithm (to the base \(e\)) of the left-hand side of this equation:

\(\displaystyle \ln \left(5^{-1/2}\right) = (-1/2)\, \ln(5)\).

For the right-hand side of this equation, consider the logarithm quotient rule:

\(\displaystyle \ln \left(\frac{a}{b}\right) = \ln(a) - \ln (b)\) for all \(a> 0\) and \(b > 0\).

Indeed, on the right-hand side of this equation, \(\sqrt{5} > 0\) and \(5 > 0\). Therefore:

\(\displaystyle \ln\left(\frac{\sqrt{5}}{5}\right) = \ln\left(\sqrt{5}\right) - \ln(5)\).

This expression could be further simplified. Notice that \(\sqrt{x}\) is equivalent to \(x^{1/2}\) for all \(x \ge 0\). (Think about how \(\sqrt{x} \cdot \sqrt{x} =x\) whereas \(x^{1/2} \cdot x^{1/2} = x^{(1/2) + (1/2)} = x\).)

Therefore, \(\ln \left(\sqrt{5}\right)\) would be equivalent to \(\ln\left(5^{1/2}\right)\). Apply the logarithm power rule to show that \(\displaystyle \ln\left(5^{1/2}\right) = \frac{1}{2}\, \ln(5)\).

\(\begin{aligned} \text{R.H.S.} &= \ln\left(\frac{\sqrt{5}}{5}\right) \\ &= \ln\left(\sqrt{5}\right) - \ln(5) \\ &= \frac{1}{2}\, \ln(5) - \ln (5) = -\frac{1}{2}\, \ln(5)\end{aligned}\).

Indeed, the left-hand side of this equation matches the right-hand side.

Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

\(\dfrac{54\hspace{4}feet}{minute}\)

Answer:

{-4, 1, 5, 8}

Step-by-step explanation:

The domain of a relation are all of the inputs (or x-values) of it.

Identify the x-values shown.

{(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)}

{-4, 1, 5, 8} is the domain of the relation.

Hope this helps.

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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Answer:

C. \( y = 3\sqrt{7} \)

Step-by-step explanation:

Based on the right triangle altitude theorem, the altitude, y, in the diagram above, equals the geometric mean of 9 and 7.

This implies => \( y = \sqrt{9*7} \)

Thus, solve for y.

\( y = \sqrt{9} * \sqrt{7} \)

\( y = 3\sqrt{7} \)

The answer is C. \( y = 3\sqrt{7} \)

The graph of the function for values of x ranging from -6 to +6 is shown below.

From the question, we are to graph the given quadratic function

The given quadratic function is

f(x) = x² + 3x − 4

The graph of the function for values of x ranging from -6 to +6 is shown below.

The table of values are

x       f(x)

-6      14

-5      16

-4      0

-3      -4

-2      -6

-1      -6

0      -4

1        0

2       6

3       14

4      24

5      36

6      50

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Answer:

8 x 3/4. Simplify using exponent rule with same exponent abn=an . bn:16 3/4 * x 3/4 Express as a product of p

Step-by-step explanation:

...

\(\frac{4(x+4)}{5} =-4-x\\4(x+4) = 5(-4-x)\\4x + 16 = -20-5x\\9x=-36\\x = -4\)

Hope that helps!

Answer:

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

If a is 3, then we plug in "a" as 3.

3(6a) is 3(6(3))

3 * 6 * 3 = 54

Answer:

X=3

Step-by-step explanation:

If you enter log5(125)= x into your calculator that should be your answer

Answer:

Length = 18 inches

Width = 12 inches

Step-by-step explanation:

Let the Length be 3x and width be 2x

Area= Length*Width=216 inches squared

216=3x*2x

216=6x²

x²=216/6

x²=36

x=√36

x=6 inches

Therefore

Length = 3x = 3*6 = 18 inches

Width = 2x = 2*6 = 12 inches

The correct solution set for the given graph include the following: D. {infinite set of points on the line}.

In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.

This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:

Generally speaking, the solution set of a graph simply refers to all of the points that lie on its line. By critically observing the graph of lines a and b, we can reasonably infer and logically deduce that they both have the same slope, solution set, as well as increasing and decreasing infinitely.

In this context, the correct solution set lies in both Quadrant II and Quadrant III because both lines move towards negative and positive infinity i.e [-∞, ∞].

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Answer:

6.5 yards of cord were bought

Step-by-step explanation:

234/36=6.5

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

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The equation to show the perimeter of the rectangle is P = 2(2w + 5)

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

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Answer:

15 DOGGGSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Step-by-step explanation:

Explanation

We are given the following:

The newspaper staff surveyed a group of students at a band concert about what their favorite elective is.

We are required to determine if the situation is biased or unbiased and give the reason.

We know that in a biased sample, one or more parts of the population are favored over others, whereas in an unbiased sample, each member of the population has an equal chance of being selected.

Therefore, the situation is biased because the choice of students surveyed simply supports band over others.

Answer:

Ans =17.37

32.7 -15.33=17.37