You are driving 72 miles per hour on the highway. Write an expression that represents the distance you travel in t hours. How far will you travel in 3.25 hours?

Answer:

It is 240(Two hundred and forty)

Step-by-step explanation:

Multiply

Answer:

5x³ + 6x² -8

Step-by-step explanation:

Add all the sides together to find the perimeter

4x³ + 2x² + 3x² - 4x + 3 + x² + 6x - 11 + x³ - 2x

Collect like terms.

5x³ + 6x² -8

Answer:

the answer is 7^5

Step-by-step explanation:

if you need the full number use the calculator

The value of m in the diagram is 18°

What is a right-angle?

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life.

From the diagram, the two angles sum up to 90°

∠WZX + ∠XZY = ∠WZY

3m + 3 + 33 = 90

3m + 36 = 90

3m = 90 - 36

3m = 54

m = 54/3

m = 18°

In conclusion the value of m is 18°

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Answer:

15

Step-by-step explanation:

3x - 2y = ?

3(7) - 2(3) = ?

21 - 6 = ?

= 15

All you have to do is substitute the given values & follow the order of operations! Best of luck.

Answer:

In a right triangle, as the angle increases, the value of the sine increases.

Step-by-step explanation:

Think of the unit circle, a circle with radius 1 unit centered at the origin which is the point with coordinates (0, 0). Draw a radius of the circle from the center, to point (1, 0) on the positive x-axis. The angle formed by this radius and the positive x-axis is 0 degrees. This is an angle in standard position. The endpoint of the radius on the circle has a y-coordinate. The y-coordinate is the sine of the angle. As you choose points on the circle going up from the positive x-axis, the angle formed by the radius connected to the point on the circle and the positive x-axis increases in measure until it coincides with the positive y-axis, where it has a measure of 90 degrees. The sine of the angle is always the y-coordinate of the point on the circle. As the angle increases from 0 to 90 degrees, the y-coordinate increases from 0 to 1. The acute angles of a right triangle can have measures of only between 0 and 90 degrees.

Answer: In a right triangle, as the angle increases, the value of the sine increases.

Answer: 16/3

Hope this helps !!!

The linear equation passing through both points is:

f(x) = 8x - 14 ,the quadratic equation passing through both points is:

\(f(k) = -1/28k^2 + 17/14k - 36/7\)

Linear Equation:

f(x) = mx + b

Where, m is the slope and b is the y-intercept.

Calculation:

By substituting the two points (3,2) and (7,18) in the equation, we get:

2 = 3m + b

18 = 7m + b

Solving the equation we get:

m = 8

b = -14

Therefore, the linear equation passing through both points is:

f(x) = 8x - 14

Quadratic Equation:

f(k) = ax^2 + bx + c

Where, a, b and c are constants.

Calculation:

Substituting the two points (3,2) and (7,18) in the equation, we get:

2 = a(3)^2 + b(3) + c

18 = a(7)^2 + b(7) + c

Solving the equation we get:

a = -1/28

b = 17/14

c = -36/7

Therefore, the quadratic equation passing through both points is:

f(k) = -1/28k^2 + 17/14k - 36/7

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Rounded to 1 decimal place, the wholesaler's in-stock probability during a normal week is approximately 89.2%.

To calculate the wholesaler's in-stock probability during a normal week, we need to consider the number of items that are available for the entire week and divide it by the total demand.

Total demand = 4,800 items

Items not available for the entire week = 250 items

Items available for only part of the week = 270 items

Therefore, the number of items available for the entire week can be calculated as follows:

Items available for the entire week = Total demand - Items not available for the entire week - Items available for only part of the week

                                = 4,800 - 250 - 270

                                = 4,280 items

The in-stock probability can be calculated by dividing the number of items available for the entire week by the total demand and then multiplying by 100 to convert it to a percentage:

In-stock probability = (Items available for the entire week / Total demand) * 100

                   = (4,280 / 4,800) * 100

                   = 89.1666...

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Answer:

(14x+14)-3=39

Step-by-step explanation:

Answer:1

1

Answer is 14

Step-by-step explanation:

X+2X-3=39

3X-3=39

3X=42

Divide by 3 on both sides.

Answer:

56$

Step-by-step explanation:

40% of 20 = 8 - 20 = 12 times 3 = 36+20=56

Answer:

x is 33

Step-by-step explanation:

All 3 of these angles added together create a straight line, and such lines always measure 180°, so if we create an equation with the 3 angles being added together, set it equal to 180, and solve, we'll find the answer:

104+x+(x+10)=180

104+x+x+10=180 (use the distributive property to remove parenthesis)

104+10+x+x=180 (rearrange terms)

114+2x=180 (combine like terms)

2x=180-114 (subtract 114 from both sides)

2x=66

x=33 (divide 2 from both sides)

Answer:

whats the question

Step-by-step explanation:

Answer:

8ab

Step-by-step explanation:

Answer:

-2a^2b-6ab^2

Step-by-step explanation:

(3a²b-4ab²+a²b²)-(2ab²+a²b²+5a²b)

3a²b-4ab²+a²b²-2ab²+a²b²+5a²b

(3a^2b-5a^2b)+(-4ab^2-2ab^2)+(a^2b^2-a^2b^2)

-2a^2b-6ab^2

Step 01

Data :

(3x - 8) ²

Step 02

(3x - 8) ²

(3x - 8) (3x - 8)

9x² - 24x - 24x + 64

9x² - 48x + 64

Sum.

(9x² - 48x + 64) +( 9x² - 48x + 64)

18x² - 96x + 128

Product.

(9x² - 48x + 64) * ( 9x² - 48x + 64)

Answer:

(1 suptlimary)  ( 2. 41)     (3. alternate exterior)  (4. 149)

Step-by-step explanation:

It is found that the first system of equations is consistently independent, the second one is inconsistent, and the third one is consistently dependent.

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

We are given the first system of equations:

4x + y = 8

x + 3y = 8

thus 4/1 ≠ 1/3 = 1 is consistently independent.

The second system of the equation is;

-4x + 6y = 2

2x - 3y = 1

Therefore, -4/2 = -6/3 = 2 is inconsistent.

The third system of equations is;

5x - 2y = 4

5x - 2y = 6

Thus, 5/5 = -2/-2 ≠ 4/6 is consistent dependent.

Thus, It is found that the first system of equations is consistently independent, the second one is inconsistent, and the third one is consistently dependent.

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For the continuous function, the limit h approaches 0 of the average value of f is written as:

\(\lim_{h \to \infty} (f(x +h))=f(x)\)

The function's limit can be found using the derivative of the function concept. If the function is continuous and we know the value of the function at some point, then the limit will also be the same value as that of the function's at that point.

For the continuous function, the limit h approaches 0 of the average value of f is written as:

\(\lim_{h \to \infty} (f(x +h))=f(x)\)

Since, This is when the function is continuous.

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Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.

Step-by-step explanation:

Answer:

solution-----

Here,

cost of rent per day=$35

cost of rent for all 4 days =$35×4

=140

Put x=4 and y=3 in 5x+2y. Then,

Therefore, the value of 5x+2y when x=4 and y=3​ is 26.

Answer: 26

Step-by-step explanation:

 5x + 2y

5(4) + 2(3)
     26

the size of the bacterial population after 80 minutes is approximately 1,052,614, and after 7 hours is approximately 2,478,752.

To find the size of the bacterial population after a certain time, we need to find the constant "k" in the formula p(t) = 2000e^(kt).

Given that the bacteria population doubles every half hour, we can set up the equation:

2 = \(e^{(0.5k)}\)

Taking the natural logarithm of both sides, we have:

ln(2) = ln(\(e^{(0.5k)}\))

ln(2) = 0.5k

Now, we can solve for "k":

k = 2 * ln(2)

Approximating the value, we get k ≈ 1.386.

1. Size of bacterial population after 80 minutes:

Since 80 minutes is equivalent to 160 half-hour intervals, we can substitute t = 160 into the formula:

p(160) = 2000\(e^{(1.386 * 160)}\)

Calculating the value, we find p(160) ≈ 1,052,614.

2. Size of bacterial population after 7 hours:

Since 7 hours is equivalent to 840 minutes or 1680 half-hour intervals, we can substitute t = 1680 into the formula:

p(1680) = 2000\(e^{(1.386 * 1680)}\)

Calculating the value, we find p(1680) ≈ 2,478,752.

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Answer:

b im preety shore

Step-by-step explanation:

Answer:

a) 4x is bigger than or equal to 40

Hope this helps and have a great day :)

And please mark this brainliest if you can :)

Answer:

12x-39

Step-by-step explanation:

40-1=39

Answer:

12

Step-by-step explanation:

Step 1:

They spilt 1/5 on the way to the lemonade stand.

180 x 1/5

= 180/5

= 36

So they spilt 36 cups of lemonade on the way to the stand.

Number of cups left = 180 - 36

= 144

Step 2:

They sold 75% of 144 cups of lemonade

75/100 x 144      (divide both 75 and 100 by 25)

= 3/4 x 144         (divide 144 by 4)

= 3 x 36

= 108

So they sold 108 cups of lemonade.

Number of cups left = 144-108

= 36

Step 3:

They spilt 1/3 of 36 cups of lemonade on the way home.

36 x 1/3

= 36/3

= 12

Therefore they brought back 12 cups of lemonade home.

Answer:

A. 12 cups

Step-by-step explanation:

1/5 of 180 is 36

to find 1/5 of something multiply it by 1/5

1/5 * 180 = 36

180 - 36 = 144

they have 144 cups after spilling 1/5

75% of 144 is 108

to find 75% of something is to multiply the number by 0.75

0.75 * 144 = 108

to find the remaining lemonade subtract sold from remaining

144 - 108 = 36

1/3 of 36 is 12

to find 1/3 of something multiply the number by 1/3

1/3 * 36 = 12

12 cups made it to the house

your answer is A.

hope this helps:)

Answer:

Midpoint of AC = (-1, 1)

Midpoint of BC = (1, -2)

Length of the midsegment = \(\sqrt{13}\)

Step-by-step explanation:

Vertices of a triangle ABC are A(0, 5), B(4, -1) and C(-2, -3).

Midpoint of segment AC = \(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\)

                                         = \((\frac{0-2}{2},\frac{5-3}{2})\)

                                         = (-1, 1)

Midpoint of BC = \((\frac{4-2}{2},\frac{-1-3}{2})\)

                         = \((1,-2)\)

Length of the mid segment = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

                                              = \(\sqrt{(-1-1)^2+(-2-1)^2}\)

                                              = \(\sqrt{4+9}\)

                                              = \(\sqrt{13}\)

The fitted model log( ) = 1.6 - 0.2c is equivalent to the models y = 21.6 - 0.25(1+\(e^(1.6-0.2c)\)), y = 1.6 - 0.22/(1+\(e^(1.6+0.2)\)), and y = 1.6 - 0.22.

The fitted model log( ) = 1.6 - 0.2c represents a logarithmic relationship between the dependent variable and an independent variable, denoted as "c." To identify equivalent models, we need to examine the given options.

Option 1: y = 21.6 - 0.25(1+\(e^(1.6-0.2c)\))

This model is equivalent to the fitted model log( ) = 1.6 - 0.2c because the right side of the equation contains the term 1+\(e^(1.6-0.2c)\), which corresponds to the exponential function e^(1.6-0.2c). The coefficient -0.25 in front of the parentheses can be absorbed into the equation without altering its equivalence.

Option 2: y = 1.6 - 0.22/(1+\(e^(1.6+0.2)\))

This model is also equivalent to the fitted model because it contains the term 1+e^(1.6+0.2) in the denominator. The coefficient -0.22 in front of the fraction can be absorbed into the equation without changing its equivalence.

Option 3: y = 1.6 - 0.22

This model is a simplified version of the fitted model. It does not involve any exponential or logarithmic functions, but the coefficients 1.6 and -0.22 remain the same as in the original equation.

Therefore, the correct answers are options 1 and 2, as they preserve the logarithmic nature of the fitted model. Option 3 is not equivalent to the fitted model, as it lacks the logarithmic and exponential components.

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Answer: 210

Step-by-step explanation:

42% is equal to the fraction 42/100.

We can multiply 42/100 by 500 to find how much candy was eaten.

42/100 x 500 = 210.

Therefore, 210 pieces of candy were eaten. Hope this helps and good luck!

Answer:

210

Step-by-step explanation:

500 - 42%= 290

500 - 290 = 210

210 = Answer