What is the rate of change ???

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x

The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10.  Substitute x=72 into the equation.

2(72)+10

144+10

154

Answer: x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.y + 2x+10 =180Solve for y by subtracting 2x+10 from each side.y + 2x+10 - (2x+10) =180 - (2x+10)y = 180-2x-10y = 170-2xThe three angles of a triangle add to 180 degreesx+ y+ 82 = 180x+ (170-2x)+82 = 180Combine like terms-x +252=180Subtract 252 from each side-x+252-252 = 180-252-x = -72Multiply each side by -1-1*-x = -72*-1x=72The exterior angle is 2x+10.  Substitute x=72 into the equation.2(72)+10144+10154

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube is 1/36.

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube:

Probability of rolling a 3 on the first roll: 1/6

Since each roll is independent, the probability of rolling a 4 after rolling a 3: 1/6

Therefore, the overall probability of getting a 3 and then a 4: 1/6 × 1/6 = 1/36

Answer:

A factor of 24 is a number that can be multilied by another number (normally whole (not fraction or decimal) numbers) so a factor must be less than the number any multiple of 2 greater than 24 will work so just any even number greater than 24 exg 26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60, and so on.

Step-by-step explanation:

Not all multiples of a number are its factors. In the case of the number 24, only the multiples that can divide evenly into 24, which include 1, 2, 3, 4, 6, 8, 12, and 24, can be considered its factors. Higher multiples like 48, 72 or 96 are not factors as they do not divide into 24.

In mathematics, the multiples of a number are obtained by multiplying that number by any integer. The factors of a number, on the other hand, are the numbers that you can evenly divide into that number. Therefore, for the number 24, its multiples include 24, 48, 72, 96, and so on.

However, not all multiples of 24 are factors of 24. A factor must divide into 24 with no remainder, which isn't the case with greater multiples of 24. For instance, 48, 72, 96 etc. are multiples of 24, but they are not factors of 24 because they cannot divide evenly into 24.

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Answer: 3 days

Step-by-step explanation: It would take 3 days for seven hens to 7 lay eggs because each hen lays an egg each day.

1 hen/1 egg = 3 days

7 hens/7 days = 14 eggs

7 hens/3 days = 7 eggs

Answer:

3 days

Step-by-step explanation:

Three hens lay 3 eggs in 3 days

We have to find the days in which 7 hens lay 7 eggs

Hen/egg=[tex]\frac{3}{3}[/tex]

Hen/egg=1

Using unitary method

1 hen lays 1 egg in 3 days

1 hen lays in 1 day =[tex]\frac{1}{3}[/tex]eggs

7 hens lay 7/3 eggs in 1 day

7 hens lay 1 egg=[tex]\frac{3}{7}[/tex]days

7 hens lay 7 eggs=[tex]\frac{3}{7}\times 7[/tex]

7 hens lay 7 eggs=3 days

Hence, 7 hens lay 7 eggs in 3 days

Answer:

11

Step-by-step explanation:

Since Farmer Tim has one of each coin, 50+20+10+5=85 cents are accounted for, leaving 395 - 85 = 310 cents for the remaining coins. We can try minimizing the number of coins that add up to 310 cents by using as many large denominations as possible.

The largest denomination is 50 cents, so we can take six 50 cent coins, which add up to 6 times 50 = 300 cents. We then can take one 10 cent coin. Thus, we have a combination of seven coins that up to 310 cents.

Therefore, the smallest number of coins that Farmer Tim could have is 4 + 7 = 11.

Answer:

The correct option is C. 5,400

Step-by-step explanation:

Consider the provided number.

[tex]5.4\cdot 10^3[/tex]

If the exponent of 10 is a positive number then you need to move the decimal point right as much as the exponent value.

If the exponent of 10 is a negative number then you need to move the decimal point left as much as the exponent value.

Now consider the provided number.

[tex]5.4\cdot 10^3[/tex]

Here the power of 10 is positive, so move the decimal point right as shown.

[tex]5400[/tex]

Hence, the correct option is C. 5,400

Answer:

15   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Absolute value is always positive.

Answer:

Step-by-step explanation: Absolute value of -15 is 15. Absolute value is the distance of a number on the number line from 0. Even though it is a negative, it is a positive because it is a number of units from number line. Hope it helps!!☺☻ Please give Brainliest!

Let us assume that it is 1/8 lb packages of fudge.

So, the question is how many 1/8 lbs of fudge can be sold from 7 pounds of fudge

Answer:

Total amount of fudge = 7 pounds

Portions of division = 1/8 pounds

So, number of packages that can be made from 7 pounds are =

[tex]\frac{7}{\frac{1}{8}}[/tex]

= [tex]7\times8=56[/tex]

Hence, 56 packages of 1/8 lbs each can be made from 7 pounds fudge.

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

Answer:

[tex]\frac{25}{4}[/tex]

Step-by-step explanation:

You have to use Order of Operations so you MUST multiply first  which gave me [tex]\frac{2}{25}[/tex] and in order to divide that you must make it a reciprocal and that's how I got the answer

Divide by a fraction means the same as multiply by its reciprocal.

[tex]\dfrac{1}{2}\div\dfrac{1}{5}\times\dfrac{2}{5}=\dfrac{1}{2}\times\dfrac{5}{1}\times\dfrac{2}{5}\\\\=\dfrac{1}{\not2_1}\times\dfrac{5}{1}\times\dfrac{\not2^1}{5}=\dfrac{1}{1}\times\dfrac{\not5^1}{1}\times\dfrac{1}{\not5_1}=1\times1\times1=1\\\\Answer:\ \boxed{\dfrac{1}{2}\div\dfrac{1}{5}\times\dfrac{2}{5}=1}[/tex]

Answer:

it's (B)

Step-by-step explanation:

To find a solution for the linear inequality y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. The correct solution for the inequality is (-2, 0).

To determine a solution for the linear inequality, y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. This inequality represents a line with a slope of 3/2 and a y-intercept of 3/2. Starting from the y-intercept, we can draw a line that goes up 3 units vertically and 2 units horizontally, and another line that goes down 3 units vertically and 2 units horizontally. Shade the region below the line to include the points that satisfy the inequality. The correct solution for the inequality is (C) (-2, 0).

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[tex]2x+4\geq24\qquad\text{subtract 4 from both sides}\\\\2x\geq20\qquad\text{divide both sides by 2}\\\\\boxed{x\geq10\to x\in[10;\ \infty)}[/tex]

Answer:

The answer is C

Step-by-step explanation:

Subtraction goes left on the number line

You always start with the first number on the number line

Answer:

Correct choice is C.

Step-by-step explanation:

The conic section is represented by equation

[tex]11x^2-2y^2 + 66x-16y + 45 = 0.[/tex]

First, simplify this equation:

[tex](11x^2+66x)+(-2y^2-16y) + 45 = 0,\\ \\11(x^2+6x)-2(y^2+8y)+45=0,\\ \\11(x^2+6x+9-9)-2(y^2+8y+16-16)+45=0,\\ \\11((x+3)^2-9)-2((y+4)^2-16)+45=0,\\ \\11(x+3)^2-2(y+4)^2-99+32+45=0,\\ \\11(x+3)^2-2(y+4)^2=22,\\ \\\dfrac{(x+3)^2}{2}-\dfrac{(y+4)^2}{11}=1.[/tex]

This is the equation of hyperbola with center at point (-3,-4), real semiaxis [tex]a=\sqrt{2}[/tex] and imaginary semiaxis [tex]b=\sqrt{11}.[/tex] Then the distance from the center to the focus is

[tex]c=\sqrt{a^2+b^2}=\sqrt{(\sqrt{2})^2+(\sqrt{11})^2}=\sqrt{2+11}=\sqrt{13}.[/tex]

Then foci are placed at points [tex](-3-\sqrt{13},-4),\ (-3+\sqrt{13},-4).[/tex]

Thus, correct choice is C.

Answer:

the answer is c

Step-by-step explanation:

I looked it up and found if on a trust worthy website.

Answer:

The answer is 7 if you round 6.5

Step-by-step explanation:

1/5(-22.38 - 10.12)

1/5 (-32.5)

= -6.5

I put it into Desmos and got (-11, -14)

Answer:

2 1/2 ft

Step-by-step explanation:

Area is given by the formula

A = l*w

We know the area is 8 1/2  

Changing this to an improper fraction  8 1/2 = (2*8 +1)/2 = 17/2

The width is 3 2/5  as an improper fraction  = (5*3+2)/5 = 17/5

A = l*w

17/2 = l* 17/5

Multiply each side by 5/17

17/2 * 5/17 = l* 17/5 * 5/17

5/2 = l

2 1/2 = l

Answer:

B

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

where d is the common difference and [tex]a_{1}[/tex] the first term

here d = - 10 - (- 5) = - 5 - 0 = 0 - 5 = - 5 and [tex]a_{1}[/tex] = 10, hence

[tex]a_{n}[/tex] = 10 - 5(n - 1) = 10 - 5n + 5 = 15 - 5n → B

Answer:

The equation of the line would be y = 5/4x - 4

Step-by-step explanation:

To find the equation of any line, start by finding the slope using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(0 - 4)

m = -5/-4

m = 5/4

Now that we have the slope, use that and either point to get the equation of the line

y - y1 = m(x - x1)

y + 4 = 5/4(x - 0)

y + 4 = 5/4x

y = 5/4x - 4

The equation of the line would be y = (5/4) x - 4. Hence, option B is correct.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

To find the equation of any line, start by finding the slope using the slope formula.

m(slope) = (y₂ - y₁)/(x₂ - x₁)

m = (-4 - 1)/(0 - 4)

m = -5/-4

m = 5/4

Now that we have the slope, use that and either point to get the equation of the line.

y - y₁ = m(x - x1)

y + 4 = 5/4(x - 0)

y + 4 = 5/4x

y = 5/4x - 4

Hence, option B is correct.

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Look at the picture.

[tex]a_1=4\\\\a_2=6\\\\a_3=8\\\\a_4=10[/tex]

Answer:

Start from bottom to top. They are asking for the y-intercept of the dot. The order is as follows: 4, 6, 8, 10.

Answer:

5.76

Step-by-step explanation:

If you subtract 7.26 by 1.5 by puting the 1.5 under the 7.26 you would get that and put y=5.76.

Answer:

Y=1.05 = 7.26

Y = 7.26 - 1.05 - 6.21

Step-by-step explanation:

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

18,000 - 6000 = 12,000

12,000 ÷ 450 = 26.66 = 26 days 16 hours

Answer:

The ratio is 1:3

Step-by-step explanation:

People can do this in different ways.

Firstly, set some variables for cydlinder A:

Diameter = 18

Height = 1

Radius = 18 ÷ 2 = 9

Area of a cylinder is [tex]\pi r^{2} h[/tex]

Plug values in:

[tex]\pi 9^{2} 1[/tex] = 81π

Diameter = 18 ÷ 3 = 6

Height = 1 * 3 = 3

Radius = 6 ÷ 2 = 3

[tex]\pi3^{2}3  = 27\pi[/tex]

Cylinder b is 3 times less than cylinder a:

81π ÷ 27π = 3

So that means three lots of cylinder b is equal to one of cylinder a.

Meaning the ration is 1:3

check the picture below.

so red line of BD is perpendicular to AC, hmmmm let's firstly find the slope of AC, bearing in mind that perpendicular lines have negative reciprocal slopes.

[tex]\bf A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{18}~,~\stackrel{y_2}{-8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-(-2)}{18-(-4)}\implies \cfrac{-8+2}{18+4} \\\\\\ \cfrac{-6}{22}\implies -\cfrac{3}{11} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{11}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{11}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{11}{3}}}\impliedby \textit{BD's slope}[/tex]

so we're really looking  for the equation of a line whose slope is 11/3 and runs through B(4,4).  Keeping in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex]\bf B(\stackrel{x_1}{4}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies \cfrac{11}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=\cfrac{11}{3}(x-4)[/tex]

[tex]\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}\textit{ to do away with the denominators}}{3(y-4)=3\left( \cfrac{11}{3}(x-4) \right)\implies 3y-12=11(x-4)} \\\\\\ 3y-12=11x-44\implies 3y=11x-32 \\\\\\ -11x+3y=-32\implies \blacktriangleright 11x - 3y= 32\blacktriangleleft[/tex]

Final answer:

The equation for the altitude passing through point B(4,4) is in standard form as 11x - 3y = 32. This was found by calculating the slope of AC, finding the perpendicular slope, and then applying it with point B to find the equation of the line.

Explanation:

To find the equation of the altitude that passes through point B(4,4) of the triangle ABC with vertices A(-4,-2), B(4,4), and C(18,-8), we need to determine the slope of line AC and then find the perpendicular slope that passes through B.

Firstly, we calculate the slope of AC:

The slope of the altitude will be the negative reciprocal of the slope of AC because the altitude is perpendicular to AC. Hence,

Now we use the point-slope form of the equation of a line using point B:

Rewriting in standard form (Ax + By = C), we get:

So, the standard form of the equation of the altitude passing through point B is 11x - 3y = 32.

Answer: [tex]0\leq w\leq 20[/tex]

Step-by-step explanation:

Since, Here w represents the weight of the bottle.

And, According to the question, he acceptable weights, w, of a 20-ounce bottle of sports drink.

That is, weight of the bottle can not be higher than 20 or the it can be atleast 20.

Therefore,  [tex]w\leq 20[/tex]

And, the weight can not be negative.

Therefore, [tex]0\leq w[/tex]

Thus, the required inequality is,

 [tex]0\leq w\leq 20[/tex]

The simplified expression for (m+13)-(p+25) is m - p - 12.

To simplify the expression (m+13)-(p+25), we can distribute the negative sign to both terms inside the parentheses:

[tex]\[m + 13 - p - 25.\][/tex]

Next, combine like terms by grouping the variables (m and -p) and the constants (13 and -25):

[tex]\[m - p + 13 - 25.\][/tex]

Now, simplify the constants:

[tex]\[m - p - 12.\][/tex]

So, the final answer is m - p - 12. This expression represents the simplified form of the given algebraic expression.

In the original expression, (m+13)-(p+25), we subtracted the entire quantity (p+25) from (m+13). Distributing the negative sign, we subtracted p and 25 individually. Combining like terms involved combining the variables (m - p) and constants (13 - 25). The final result is m - p - 12, where m and p are coefficients of the respective variables, and 12 is the simplified constant term.

In summary, the expression (m+13)-(p+25) simplifies to m - p - 12 by applying the principles of combining like terms and distributing the negative sign. This simplified form is a more concise representation of the original expression.

Answer:

B

Step-by-step explanation:

Put the second y into the first equation

3x + y = 10                           substitute for y

3x + 6x + 1 = 10                    Combine like terms on the left

9x + 1 = 10                             Subtract 1 from both sides

9x = 10 - 1                              Combine the right.

9x = 9                                    Divide by 9

x = 9/9                                   Divide

x = 1

The answer is right there. Only B is possible

y = 6x + 1

y = 6(1) + 1

y = 6 + 1

y = 7

Answer B

Answer:

125 liters of gasoline

Step-by-step explanation:

176/88 = 2

250 / 2 = 125