CD if c = 8 & d = 19

The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.

What is an expression?

A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Given expression is

2 (x+6)

Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.

The mathematical representation is a(b+c) = ab + ac.

Apply the Distributive property in the given expression:

(2×x) + (2×6)

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Answer:

1. Y= 7t^5 +C

2. Y= 35/12x^(12/7)+C

Step-by-step explanation:

The general solution will be determined by integrating the equations as the integration is a simple integration.

For dy/dt = 35t^4

The general solution y

= integral (35t^4)dt

The general solution y

=( 35/(4+1))*t^(4+1)

= 35/5t^5

= 7t^5 +C

To prove by differentiating the above.

Y= 7t^5 +C

Dy/Dt= (5*7)t^(5-1) +0

Dy/Dt= 35t^4

For dy/dx = 5x^(5/7)

Y=integral 5x^(5/7)Dx

Y= 5/(5/7 +1)*x^(5/7+1)

Y= 5/(12/7) *x^(12/7)

Y= 35/12x^(12/7)+C

To prove by differentiating

Y= 35/12x^(12/7)+C

Dy/Dx= (35/12)*(12/7) x^(12/7-1) +0

Dy/Dx=(35/7)x^(5/7)

Dy/Dx= 5x^(5/7)

The equation of the line that is perpendicular with y = 4 · x - 3 and passes through the point (- 12, 7) is y = - (1 / 4) · x + 4.

In this problem we find the case of a line that is perpendicular to another line and that passes through a given point. The equation of the line in slope-intercept form is described below:

y = m · x + b

Where:

In accordance with analytical geometry, the relationship between the two slopes of the lines are:

m · m' = - 1

Where:

If we know that m = 4 and (x, y) = (- 12, 7), then the equation of the perpendicular line is:

m' = - 1 / 4

b = 7 - (- 1 / 4) · (- 12)

b = 7 + (1 / 4) · (- 12)

b = 7 - 3

b = 4

And the equation of the line is y = - (1 / 4) · x + 4.

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Answer:

y = x + 5

Step-by-step explanation:

m = (0 --3 )/(-5--8)= 1

y - 0 = 1(x - - 5)

y = x + 5

Answer: 35

Step-by-step explanation:

Got it right on khan

Answer:

\(\mathbf{P_2(x) = 1+\dfrac{x^2}{2}}\)

Step-by-step explanation:

Given that:

f(x) = sec (x)  , n = 2

Where are to find P_2(x)

Suppose ; f(x) = sec (x)  , n = 2

then

\(f(0) = sec (0) = 1\)

\(f'(x) = sec (x)* tan (x)|_{x=0} = 0\)

\(f''(x) = sec (x)*tan ^2(x)+ sec (x) * sec^2(x)\)

\(f''(x) = sec (x)*tan ^2(x)|_{x=0} + sec^3(x)\)

\(f''(x) = 0 + sec^3(0)\)

\(f''(x) = 1\)

\(f(x) = f(0) + \dfrac{f'(0)x}{1!}+ \dfrac{f''(0)x^2}{2!}+ \dfrac{f'''(0)x^3}{3!}+...\)

\(f(x) = 1 + \dfrac{0}{1!}x+ \dfrac{x^2}{2!}+...\)

\(f(x) = 1 + \dfrac{x^2}{2}+...\)

since order n =2

\(\mathbf{P_2(x) = 1+\dfrac{x^2}{2}}\)

The three true statements are:

Only f(x) and h(x) have y-intercepts.

Only f(x) and h(x) have x-intercepts.

The minimum of h(x) is less than the other minimums.

From the given table, we can compare the characteristics of the functions f(x), g(x), and h(x) to determine which statements are true.

Statement 1: Only f(x) and h(x) have y-intercepts.

Looking at the table, we can see that f(x) and h(x) have y-intercepts since they have values for f(0) and h(0), while g(x) does not have a y-intercept. Therefore, statement 1 is true.

Statement 2: Only f(x) and h(x) have x-intercepts.

To find x-intercepts, we look for values of x where the functions f(x), g(x), and h(x) equal zero. From the table, we can see that only f(x) and h(x) have x-intercepts, as they have values for x where f(x) and h(x) are equal to zero. Therefore, statement 2 is true.

Statement 3: The minimum of h(x) is less than the other minimums.

By comparing the values in the table, we can see that the minimum value of h(x) is -28, which is indeed less than the minimums of f(x) (-2) and g(x) (-7). Therefore, statement 3 is true.

Statement 4: The range of h(x) has more values than the other ranges.

The range of a function represents the set of all possible output values. From the table, we can observe that the range of h(x) has more values (-28, 0, 7, 14, 49) compared to the ranges of f(x) and g(x) (only two distinct values each). Therefore, statement 4 is true.

Statement 5: The maximum of g(x) is greater than the other maximums.

Looking at the values in the table, we can see that the maximum value of g(x) is 7, which is indeed greater than the maximums of f(x) (-2) and h(x) (14). Therefore, statement 5 is true.

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Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

Answer:

C

Step-by-step explanation:

the answer is C

12*8=96

15*8=120

17*8=136

The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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The three integers are 5, 11 and 14.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Let x₁, x₂ and x₃ be the three integers in an increasing order.

Mean = (x₁ + x₂ + x₃) / 3

(x₁ + x₂ + x₃) / 3 = 10

x₁ + x₂ + x₃ = 30

Median is the middle element when the data set is arranged in an increasing or decreasing order. Here, it is the integer x₂.

x₂ = 11

So x₁ + x₂ + x₃ = 30 becomes,

x₁ + 11 + x₃ = 30

x₁ + x₃ = 19 ⇒ x₃ = 19 - x₁

Range is the difference of the highest and lowest value.

x₃ - x₁ = 9

Substituting x₃ = 19 - x₁,

19 - x₁ - x₁ = 9

19 - 2x₁ = 9

-2 x₁ = -10

x₁ = 5

x₃ = 19 - x₁ = 19 - 5 = 14

Hence the integers are 5, 11 and 14.

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Answer: c.)2 g/ml is the correct answer.

Answer:

D. 10

Step-by-step explanation:

8x-14=5x+34

8x-5x=34+14

3x=48

x=48/3

x=16

8x-14+5y+16 = 180

8(16)-14+5y+16 = 180

128-14+5y+16=180

5y=180-128-16+14

5y=50

Y = 10

Answer:

D is the answer

Step-by-step explanation:

AS IT IS MCQ

NO NEED OF STEP BY STEP EXPLAINATION

Answer:

11/6

Step-by-step explanation:

2 7/9 + 8/9

2 7/9 into a mixed fraction which is 25/9

now 25/9 + 8/9 = 33/18 then simplify which is 11/6

Answer:

ong

Step-by-step explanation:

Answer:

\(\sf -21b+84\)

Step-by-step explanation:

\(\sf 6(b+8)-9(3b-4)\)

We'll use the distributive property to multiply 6 by b + 8, and -9 by 3b - 4.

\(\sf 6b+48-27b+36\)

Combine like terms.

\(\sf -21b+48+36\)

Add numbers.

\(\sf -21b+84\)

_________________

Answer:

BCD are wrong

Step-by-step explanation:

I graphed this line below.

Start with an open dot on 7.

The reason we use an open dot is because x

does not equal 7, it is only greater than 7.

So from your open dot, draw an arrow to the right

to represent all numbers greater than 7.

Finally, state your answer in set notation if possible.

It is read as {x: x > 7}.

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

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Answer:

Step-by-step explanation:

Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:

First, we need to calculate the area of the rectangular base, which is simply length x width:

Area of rectangular base = 13 x 13 = 169 square units

Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.

To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:

a² + b² = c²

where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.

13² + 13² = c²

338 = c²

c ≈ 18.38

Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:

Area of isosceles triangle = (1/2) x base x height

Area of isosceles triangle = (1/2) x 13 x 18.38

Area of isosceles triangle ≈ 119.14 square units

To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:

Area of right triangle = (1/2) x base x height

Area of right triangle = (1/2) x 13 x 18.38

Area of right triangle ≈ 119.14 square units

Since there are two of each type of triangular face, the total surface area of the pyramid is:

Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle

Surface area = 169 + 2 x 119.14 + 2 x 119.14

Surface area = 546.28 square units

Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.

Answer:

28/55

Step-by-step explanation:

First thing you do is add up all of the data values.

This is the total of everything you can draw.

in this case it would by 55.

We set this as the denominator and set the numerator to the ammount of times orange has been drawn.

This would result in our answer.

Hope this helps!

Answer:

C

Step-by-step explanation:

If you have any questions with how I got that answer let me know in the comment section.

Examining the two column table with the given values the end behavior of the function is predicted to be

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

The end behavior of function typically says the characteristics of the function at the ends.

The given table is:

x      y

-5   -6

-4   -2

-3    0

-2    4

1      0

0     0

1     -2

2    -6

3    -10

The end behavior is determined by the examining the table

x ⇒ ∞ : when positive values of x is getting bigger, f(x) ⇒ -∞ this is equivalent to y, the negative values of y are getting bigger

x ⇒ -∞ when negative values of x is getting bigger  f(x) ⇒ -∞ this is equivalent to y and the negative values are getting bigger

the answer is read as, where ∞ is called infinity

as x tends to ∞, f(x) tends to -∞

as x tends to -∞, f(x) tends to -∞

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Answer:

x=-1, y=-1. (-1, -1).

Step-by-step explanation:

y=6x+5

5x-4y=-1

-----------------

5x-4(6x+5)=-1

5x-24x-20=-1

-19x-20=-1

-19x=-1+20

-19x=19

x=19/-19

x=-1

y=6(-1)+5

y=-6+5

y=-1

Considering the sequences given, the first number that appears in both sequences is given by: 45.

The rule is multiply by 3 starting from 5, hence the numbers are:

(5, 15, 45, 135, ...).

The rule is add 9 starting from 18, hence the numbers are:

(18, 27, 36, 45, ...).

45 is the first number that appeared in both sequences.

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Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Answer:

Solved below.

Step-by-step explanation:

The data is provided for the starting salary (in $1,000) at some company and years of prior working experience in the same field for randomly selected 10 employees.

(a)

The formula to compute the correlation coefficient is:

\(r=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}} {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\\)

The required values are computed in the Excel sheet below.

\(\begin{aligned}r~&=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}} {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\r~&=~\frac{ 10 \cdot 7252 - 97 \cdot 661 } {\sqrt{\left[ 10 \cdot 1335 - 97^2 \right] \cdot \left[ 10 \cdot 45537 - 661^2 \right] }} \approx 0.9855\end{aligned}\)

Thus, the sample correlation coefficient r is 0.9855.

(b)

The slope of the regression line is:

\(b_{1} &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\\= \frac{ 10 \cdot 7252 - 97 \cdot 661 }{ 10 \cdot 1335 - \left( 97 \right)^2} \\\\\approx 2.132\)

Thus, the slope of the regression line is 2.132.

(c)

The y-intercept of the line is:

\(b_{0} &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\\= \frac{ 661 \cdot 1335 - 97 \cdot 7252}{ 10 \cdot 1335 - 97^2} \\\\\approx 45.418\)

Thus, the y-intercept of the line is 45.418.

(d)

The equation of the sample regression line is:

\(y=45.418+2.132x\)

(e)

Compute the predicted starting salary for a person who spent 15 years working in the same field as follows:

\(y=45.418+2.132x\\\\=45.418+(2.132\times15)\\\\=45.418+31.98\\\\=77.398\\\\\approx 77.4\)

Thus, the predicted starting salary for a person who spent 15 years working in the same field is $77.4 K.

Answer:

Yes correct

Step-by-step explanation:

I think this is correct becase: 2 50

5 55

7 62

etc

these are all correct

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.