Determine the angle of rotation

a. -75
b. -45
c. 45
d. 75​

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Answer:

y = 7

Step-by-step explanation:

y = 3(2-1) 2 + 1

y = 3(1)(2) + 1

y = 6 + 1

y = 7

Answer: 8.6

Step-by-step explanation:

Using pythagorean theorem, c²=a²+b² you can find the distance between AB.

c²=7²+5²

c²=74

√c²=√74

c=8.6

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Given data:

The total length of string is l=3 1/2 m.

The total length of the string is,

l=3.5

Divide the given length of string in 5 equal parts.

Thus, each length of string is 0.7 m.

The second derivative of the function is -6x

Derivative of a function f(x) signifies the rate of change of the function f(x) with respect to x at a point lying in its domain. For a function to be differentiable at any point x = a in its domain, it must be continuous at that particular point but vice-versa is necessarily not always true.

The derivative of a function f(x) is given as; d/dx(fx)

f(x) = -x³

d/dx = 3(-x)³⁻¹

d/dx = -3x²

For the second derivative, we would derivate the function the second time.

d²/dx² = d/dx(-3x²)

d²/dx² = 2 * (-3x)

d²/dx² = -6x

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Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

6.2 (Approximated).

Step-by-step explanation:

12x-7 > 67

Add 7 to both sides.

12x > 74

Divide 12 from both sides.

12/12x > 74/12

Final answer

x > 6.2 (approximately)

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

z = 20

Explanation:

The given equation is

To solve the equation, we first need to multiply both sides by 4

Then, divide both sides by 3

Therefore, the solution is z = 20

Answer:

slope= 5/3      y-intercept=3

Step-by-step explanation: Equation=   y=5/3x+3

Hope this helps

btw can i have brainliest?

Answer:

\(x+8=7*10\)

Step-by-step explanation:

Sum of X and 8: \(x+8\)

Product of seven and 10: \(7*10\)

Put them together:

\(x+8=7*10\)

Answer:

16

Step-by-step explanation

Rotate the triangle so 8 is the base

1/2bh

1/2*8*4

16

Answer:

the answer is 16

may it help you

Answer:  Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gal

Hi there!

Answer:

Find points for the equation y = 2x + 1 by plugging in x values:

For example, when x = 1, substitute in the value of 'x' into the equation:

y = 2(1) + 1

y = 2 + 1

Solve for the y-value:

y = 3

Repeat this process for multiple points:

X                               Y

-2                              -3

-1                                -1

0                                 1

1                                  3

2                                  5

To get the graph of y = 2x + 1, simply graph these points. :)

Answer:

1.8

Step-by-step explanation:

The doubling time after 4 and 7 years is 400 months and 700 months respectively

The formula for finding doubling time is given as;

Doubling time = \(t \frac{In 2}{In 1 + \frac{r}{100} }\)

Where t = time = 4 and 7 years

r = rate

For 4 years, we have

Doubling time = \(4 * \frac{In 2}{In ( 1 + \frac{0.7}{100}) }\)

⇒ \(4 * \frac{In 2}{In 1. 0074}\)

⇒ \(4 * \frac{0. 6931}{0. 0074}\)

⇒ \(4\) × \(93. 66\)

⇒ 374. 65

⇒ 400 months in the nearest hundredth

For 7 years

⇒ \(7\) × \(93. 66\)

⇒ \(655. 62\)

⇒ 700 months in the nearest hundredth

Thus, the doubling time after 4 and 7 years is 400 months and 700 months respectively

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Answer:

30.771

Step-by-step explanation:

17/100×26.30=4.471

therefore, add 4.471 to 26.30

26.30+4.471=30.771

The union of the sets is { 22, 33, 44, 55, 66 }

The union of sets can be defined as the sum of the elements of two or more sets without repetition of those elements.

It is also known as the combination of the all the elements of two or more sets.

It is denoted using the symbol , ' ∪ '

Given the sets;

The union of the sets is:

{ 22, 33, 44, 55, 66 }

Thus, the union of the sets is { 22, 33, 44, 55, 66 }

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Answer:

Thrusday

Step-by-step explanation:

Hence , the shading of the linear inequalities 9y - 2 < 13 and 3y - > -29 is given below.

The graph of the equation 9y - 2 < 13  equation (1) is represented by green colour and graph of the equation  3y - > -29  equation (2) is represented by yellow colour .

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The complete question is given below :

Shade the graph of 9y - 2 < 13 and 3y - > -29 .

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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Domain of r(x) = |x| is ( −∞, ∞ ) , { x | x ∈ R }

Range of r(x) = |x| is [ 0 , ∞ ) , { y | y ≥ 0 }

The domain of a function is defined as the set of values that we are allowed to enter into the function. This set is a bunch of x values in a function such as r(x).

The domain of the given function r(x) is all real numbers except where this expression, r(x) = |x| is undefined. In this question, there is no real number that makes this expression undefined.

The interval is denoted as ( −∞ , ∞ ).

The set builder is denoted as { x | x ∈ R }.

The range of a function is defined as the set of values that the function can assume. This set is a bunch of the values that the function shoots out after we enter a x value in. The range is a set of all valid y values. We have to use the graph to find the range.

The interval is denoted as [ 0 , ∞ )

The set builder is denoted as { y | y ≥ 0 }

Therefore, we get the domain and range as,

Domain of r(x) = |x| is ( −∞, ∞ ) , { x | x ∈ R }

Range of r(x) = |x| is [ 0 , ∞ ) , { y | y ≥ 0 }

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Answer:

-4x

Step-by-step explanation:

y is kind of like part of negative.

y=4x (kind of not really possible)

so add a negative sign.

which equals to -4x.

plus, the gragh shown below is a hint.

Answer:

1  1/15

Step-by-step explanation:

(I think)

And I am not a very good explainer

(sorry)

Answer:

\(( {2}^{ - 6} )(5)( {2}^{3} \times 5) {}^{2} \\ \\ = 2 {}^{( - 6 + (3 \times 2))} \times {5}^{(1 + 2)} \\ \\ = {2}^{0} \times {5}^{3} \\ \\ = 1 \times {5}^{3} \\ \\ = {5}^{3} \)