Write an inequality that describes the safe speeds to drive according to the sign.
Speed Limit 65
Minimum 45

Answer:sometimes

Step-by-step explanation:

The number of different committees that can be formed is 495

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

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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The solution of the expression is x=0 and it is the only solution that is an integer.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.

To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.

Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:

=> x=5x−x³

Expanding this equation, we get

=> 4x³+x=0.

Factoring this equation, we get

=> x(4x²+1)=0.

This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.

Complete Question:

Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.

y = x,

y = 5x−x³

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Answer:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

Step-by-step explanation:

Table:

                              Vitamin A        Vitamin B         Cost $/oz

Wheat  (x)                10.5                    2.4                   0.05          

Oats     (y)                 6                       1.8                    0.10          

Requirements           48 (mg)              20 (mg)

Requirements           1,693 (oz)           0,7054 (oz)

The problem is minimized z subject to two constraint

z  =  0.05*x  + 0.1*y   to minimize

Subject to:

Requirement  of  Vitamin A

10.5*x + 6 * y  ≥  48

Requirement  of  Vitamin B

2.4*x   + 1.8*y ≥  20

x≥0  y≥0

Using  the on-line solver AtomZmaths and after 3 iterations the solution is:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

682 x 790 is 538,780, in order to get our estimate how ever we can round our 682 to 700 and our 790 to 800. 7 x 8 is 56. In total there are 40 zeros in this equation, so we would have 560,000. This means that an estimate would be 560,000 and a exact amount would be 538,780. Our acutal answer and estimate are not to far of when using mathical terms.

I HOPE THIS HELPS & GOOD LUCK ON YOUR ASSIGNMENT <3 !!!!!

Answer:

2

Step-by-step explanation:

because the outer line is one line and the triangle in other line

Answer:

3

Step-by-step explanation:

There is a line of symmetry from each vertex of the triangle through the square opposite it. I can't draw it out here but there's one going straight down the middle, another going from the triangles leftmost point through the right hand square and another from the triangles rightmost point through the left hand square.

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

openThe equation must be

y = 6 x + 120

The slope is 6 and the y-intercept is 120

The mistake is

He chooses a -ve slope because he said he will loss 6

Loss means (-) and the value will decrease

So the real-world situation is

I opened a saving account with $120 worth of birthday money and I have $6 a month

Choose add

They want us to correct the wrong

So we must say positive slope and increasing

Answer:

Step-by-step explanation:

Why are you asking? Why isn't your friend?

The diagram assumes that the angle on the lower left of the triangle is a right angle. If it is not, then I don't think there is a way that this can be solved.

Tan(A) = opposite / adjacent

opposite = 7

Adjacent = 4

Tan(A) = 7/4 = 1.75

A = inverseTan (1.75)

A = 60.60 degrees

Answer:

thats not that hard just put it on a number line get it lol

Step-by-step explanation:

Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

The balanced force of 32 N acting on a 4.0 kg object will produce an acceleration of 8.0 m/s².

It is defined as the rate of change in angular velocity with respect to time. It is also known as rotational acceleration.

It is given that:

The balanced force (F) acting on a 4.0 kg object will produce an acceleration of 8.0 m/s²

As we know from Newton's second law of motion:

F = ma

Here F is the force

m is the mass of the object

a is the acceleration

m = 4.0 kg

a = 8.0 m/s²

F = (4.0 kg)(8 m/s²)

F = 32 kg-m/s²

Or

F = 32 N

Thus, the balanced force of 32 N acting on a 4.0 kg object will produce an acceleration of 8.0 m/s².

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Answer:

-0.38

Step-by-step explanation:

0.6-(0.7)(1.4)

0.6-0.98

-0.38

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is

\(y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4\)

We have the final answer as

\(y = - \frac{2}{5} x - 2 \\ \)

Hope this helps you

Answer:

C or D In a chemical change, the atoms in the reactants rearrange themselves and bond together differently to form one or more new products with different characteristics than the reactants. When a new substance is formed, the change is called a chemical change.

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

Step 1: Identify the Qualitative Variables:

The qualitative variables in this data set are Degree, School, Program, and Classes.

Step 2: Identify the Categories Associated with Each Qualitative Variable:

Degree: Bachelors, Masters

School: Brookside E.S., Bergen Academies-Hackensack

Program: 3-Emotionally Distur., 5-Life Skills

Classes: Experience Taught

Step 3: Identify the Quantitative Variables:

The quantitative variables in this data set are Salary and Years.

Step 4: Identify the Measurement Scales for All Variables:

Salary and Years are measured on an interval scale, while Degree, School, Program, and Classes are measured on a nominal scale.

The question does not have any part related to Master's yearly salaries.

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Answer:

Step-by-step explanation:

Let Carlo's age =  x

Equation: 6*x = 108

               6x = 108

Solution:

6x = 108

x = 108/6

x = 18

Carlo's age = 18 years

Answer:

Let the age of Carlo be x

\( \tt \: equation \longrightarrow \: 6x = 108\)

Age

\( \tt \: 6x= 108\)

\( \tt \: x \: = \dfrac{108}{6 } = 18\)

Answer:

1.24

Step-by-step explanation:

because 1.24>1.215>0.365>0.095

Answer:

?

Step-by-step explanation:

Answer: 50$

Step-by-step explanation:

To calculate the amount the college student can spend on fast food in December, we need to find the total amount he can spend in 5 months, given that he wants to spend an average of $50 per month.

Let's start by finding the total amount he can spend in 5 months:

Total amount = 5 x $50 = $250

Now, we can subtract the amount he spent in the other 4 months from the total amount to find out how much he can spend in December:

The amount he can spend in December = Total amount - Amount spent in 4 months

Amount spent in 4 months = $35 + $90 + $15 + $60 = $200

Amount he can spend in December = $250 - $200 = $50

Therefore, the college student can spend $50 on fast food in December to meet his goal of spending an average of $50 per month on fast food for the remaining 5 months of the year.

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

I believe the answer is c) 3

Step-by-step explanation:

f(x) = (x + 3)(x - 1)(2x + 2)

x(x) + x(-1) + 3(x) + 3(-1)

f(x) = (x^2 - x + 3x - 3)(2x + 2)

f(x) = (x^2 + 2x - 3)(2x + 2)

2x(x^2) + 2x(2x) + 2x(-3) + 2(x^2) + 2(2x) + 2(-3)

f(x) = (2x^3 + 4x^2 - 6x + 2x^2 - 6)

f(x) = (2x^3 + 6x^2 - 6x - 6)

The correct conclusion based on the given statements is:

If the time is between 8:00 a.m. and 6:00 p.m., then people may swim or dive into the pool.

A conditional statement, also known as an "if-then" statement, is a type of logical statement that consists of two parts: a condition (the "if" part) and a result (the "then" part).

It expresses a cause-and-effect relationship, stating that if a certain condition is true, then a specific result or action will follow.

"If the time is between 8:00 a.m. and 6:00 p.m., then people may swim or dive into the pool." This conclusion follows from the given information that if the time is within the specified range, the public swimming pool is open, and if the pool is open, people are allowed to swim or dive into it.

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Answer:

0.1

Step-by-step explanation:

0.5/4 = 0.125

0.125 Rounded to the nearest tenth, is 0.1

Therefore, the correct answer is 0.1

I hope this helps!

Answer:

Step-by-step explanation:

Use a simple Equation

Price = Number x Price

So Price = 536.

Since it was 67% off we multiple the price of the original by .67.

So

536 = .67x

Solve for x = 536/.67 = 800

The original Price is $800.

check by multiplying by the sale %.