Guadalupe drove 45 miles in 1 1/3 hours. on average how fast did she drive per hour

Answer:

a=7.93

b=8.77

c=505

d=6.96

e=1.29

Step-by-step explanation:

Isolate the variable

111/14 = 7.93

13.65-4.88 = 8.77

518-13= 505

174/25=6.96

5.16/4=1.29

Using the Fundamental Counting Theorem, it is found that there are 416,520 ways to fill out a lottery ticket.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Then:

\(N = n_1n_2n_3 = 52(90)(89) = 416520\)

There are 416,520 ways to fill out a lottery ticket.

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Answer:

D. 30°

Step-by-step explanation:

QP and QR have the same length "8" , therefore, the triangle is an isosceles triangle. Opposite angles are congruent.

- ∠R = ∠P

- ∠R = 30°

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

The value for the expression is 87.92.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3.14(a² + ab)

We have the values of a and b as a = 4 and b = 3.

Substituting these values in the expression,

3.14(a² + ab) = 3.14 (4² + (4 × 3))

                    = 3.14 (16 + 12)

                    = 3.14 (28)

                    = 87.92

Hence the value of the given expression is 87.92.

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Answer:

Step-by-step explanation:

Answer:

4th Option

Step-by-step explanation:

When we look for side x, we have multiple ways:

cos60° = 10/x

x = 10/cos60°

sin30° = 10/x

x = 10/sin30°

sin60° = 15/x

x = 15/sin60°

cos30° = 15/x

x = 15/cos30°

Out of these choices, only the 4th Option is present, so that is our answer.

The weight of the truck,  When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river is  11,788 N.

To discover the weight of the truck, we ought to utilize the concept of buoyancy.

When the truck pulls onto the vessel, it uproots a sum of water that breaks even with its claimed weight. The weight of this uprooted water makes an upward buoyant constraint on the pontoon.

The watercraft sinks an extra 5.00 cm, which suggests that the buoyant constraint breaks even with the weight of the truck furthermore the weight of the uprooted water, and this adds up to the weight causing the boat to sink assist.

Let's accept that the thickness of water is 1000 kg/m³ (this can be ordinary esteem for new water). The volume of water uprooted by the pontoon is rise to its length times its width times the profundity it sinks into the water:

V = (6.00 m)(4.00 m)(0.05 m) = 1.20 m³

The weight of this uprooted water is:

Wwater = Vρg = (1.20 m³)(1000 kg/m³)(9.81 m/s²) ≈ 11,788 N

where ρ is the thickness of water and g is the speeding up due to gravity.

Since the buoyant drive is broken even with the weight of the truck furthermore the weight of the uprooted water, we have:

Wtruck + Wwater = Fbuoyant

where Wtruck is the weight of the truck and Fbuoyant is the buoyant drive. Ready to improve this condition to illuminate for the weight of the truck:

Wtruck = Fbuoyant - WWater

The buoyant drive is broken even with the weight of the water uprooted by the watercraft, which we calculated prior to being around 11,788 N. In this manner:

Wtruck = 11,788 N - 0

 Wtruck ≈ 11,788 N

So, the weight of the truck is around 11,788 N. 

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The full question is

A small ferryboat is 4.00m wide and 6.00m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river. What is the weight of the truck?

B= 81 sq. ft

B= 9C

Wc= 3 ft

Lc= ?

9C = 81

C = 9

C= L * W

9= L * 3

L = 3 ft

Answer:

3 ft

Step-by-step explanation:

Area of bedroom = 81 ft^2

Arear of closet = Area of bedroom/ 9

= 81/9= 9 ft^2

9= width × length

length = 9÷ width = 9 ÷ 3 = 3

For a vertical cylindrical water tank where the rate of flowing is 5 cubic metre per minute. The rate at which the height of the water is rising is equals to the \( \frac{5}{9π }\) metre per minute.

We have, water flowing into a vertical cylinder. Let the radius, height and volume of cylindrical tank be r metre, h metre and V cubic metre respectively. Now, Rate of water flow in tank, \( \frac{dV}{dt}\) = 5 cubic m /min

Radius of cylindrical tank, r = 3 m

We have to determine rate at which height of the water is rising, i.e., dh/dt. As we know, Volume of cylindrical water tank, V = πr²h --(2)

Differentiating equation (2) with respect to time t,

=> \( \frac{ dV}{dt }= π(r)²\frac{dh}{dt}\)( since, radius of cylinder is constant)

=> \(5 = π(3)² \frac{ dh}{dt}\)

=> \(5 = 9π \frac{dh}{dt}\)

=> \( \frac{ dh}{dt} = \frac{5}{9π }\)

Hence, the required rate is \( \frac{5}{9π }\)m/min.

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Answer:

X = 10

Step-by-step explanation:

Multiply both sides of the equation by 5

x + 2x - 60 = -30

Collect like terms

3x - 60 = -30

Move constant to the right-hand side and change its sign

3x = -30 + 60

Calculate the sum

3x = 30

Divide both sides of the equation by 3

x = 10

Solution

x = 10

Answer: x = 10

Step-by-step explanation:

1/5x + 2/5x - 12 = -6    Add 12 to both sides

                   +12    +12

1/5x + 2/5x = 6     Combine like terms on the left side

3/5x = 6         Divide both sides by 3/5

x =  10

Answer:

The age distribution of a population is shown.

a. The probability that a person chosen at random is at least 15 years old is 14%

b. The probability that a person chosen at random is 25 - 44 years old is 26%

The probability that a person chosen at random is at least 15 years is 80%

The probability that a person chosen at random is 25 - 44 years old is 26%

Probability determines how likely it is that a stated event would occur. This probability lies between 0 and 1.

The probability that a person chosen at random is at least 15 years = sum of percentages of people at least 15 years old : 14 + 13 + 13 + 15 + 12 + 13 = 80%

The probability that a person chosen at random is 25 - 44 years old : 13% + 13% = 26%

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Answer:

x = 3^ √ k − y ^3 − z ^3

y = ^3 √ k − x ^3 − z ^3

z = ^3 √ k − x ^3 − y^3

k = x ^3 + y ^3 + z ^3

Step-by-step explanation:

hope this helped (^3= to the third power:))

Answer:

Step-by-step explanation:

The value of the given trigonometric function is 1.1547.

The main trigonometric ratios are: sinβ, cosβ and tg β. From these ratios, you can calculate other trigonometric ratios such as sec β, cossec β and cotg β.

These ratios help you find the angles and the sides of a rectangle triangle.

The question asks \(\frac{2 *sin(30)}{cos (30}\), for the angle 30° you have sin=1/2 and cos= \(\frac{\sqrt{3} }{2}\).

Thus,

\(\frac{2 *sin(30)}{cos (30}=\frac{2 *\frac{1}{2} }{\frac{\sqrt{3} }{2} }=\frac{1}{\frac{\sqrt{3} }{2} }= \frac{2}{\sqrt{3} } =\frac{2\sqrt{3} }{3}=1.1547\)

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Answer:

2

Step-by-step explanation:

1 +1=2

Answer:

2

Step-by-step explanation:

Answer: the mode is 3

Step-by-step explanation:

As per the given measurement, you would need to burn an extra 500 calories every day in order to lose 9 pounds in 63 days, assuming that the rest of your diet remains constant.

We know that in order to lose 1 pound of body weight, you need to burn an extra 3500 calories. Therefore, to lose 9 pounds, you would need to burn an extra 31,500 calories

=> (9 pounds x 3500 calories per pound).

If you divide this number by the number of days in which you want to achieve this goal, you'll find the amount of calories you need to burn each day. In this case, it would be:

31,500 calories / 63 days = 500 calories per day

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The equation of the curve c is given by y = (x2 + 2x - 1) / 4(x - 1)2 for -∞ ≤ x ≤ +∞.

The curve c is defined by the parametric equations x = 2t2 - t and y = t2 - 3t + 1. To calculate the equation of the curve, we need to eliminate the parameter t. To do so, we first solve the equation for t:

t = (x + 1) / 2(x - 1).

Substituting this into the equation y = t2 - 3t + 1, we get y = ((x + 1)2 / 4(x - 1)2) - 3(x + 1) / 2(x - 1) + 1.

Simplifying this, we get the equation of the curve: y = (x2 + 2x - 1) / 4(x - 1)2.

Therefore, the equation of the curve c is given by y = (x2 + 2x - 1) / 4(x - 1)2 for -∞ ≤ x ≤ +∞.

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Answer:

(10, -2)

Step-by-step explanation:

The inequalities are:

y < x - 7               (1)

y < (1/5)x - 2        (2)

To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.

To solve the inequality, subtract inequality (2) from inequality (1) which gives:

0 < (4/5) x - 5

-(4/5)x < -5

Dividing both sides of the equation by -4/5 gives:

-(4/5)x / (-4/5) < -5/ (-4/5)

x > 6.25

Put x > 6.2 in inequality 1

y < 6.25 - 7

y < -0.75

The solution of the inequality is x > 6.25 and y < -0.75

From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75

Answer:

1 x 10^-7

Step-by-step explanation:

Answer:

l;komjni

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

x1=1 ,y1=3

x2=2 , y2=5

then

m= 5-3/2-1= 2/1

Answer:

The answer is C

Step-by-step explanation:

If this is the graph of f(x) =a^(x+h)+k then h<0 and k> 0.Hence option C is correct.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

If f(x) = a(x+h) + k is the graph, then h<0 and k> 0.

Therefore, choice D is right.

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Answer:

f(x) = 19x/5+4

Step-by-step explanation:

f(0) = 4,f(5)=19

[f(x) - 4]/[x-0] = (19-0)/(5-0)

f(x) = 19x/5+4

Two sets of angles are corresponding angles will be ∠w = ∠v and ∠x = ∠y. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Two similar triangles are shown below:

Then two sets of angles are corresponding angles will be

∠w = ∠v and ∠x = ∠y

Then the correct option is A.

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Answer:

  b > 1

Step-by-step explanation:

You want to know the conditions on an exponential function that represents growth.

The value of 'b' in the exponential function y = a·b^x is called the "growth factor." Each time x increases by 1 unit, the value of y is multiplied by 'b'. If that product is increasing, the value of 'b' must be greater than 1.

The relation represents growth when b > 1.

An exponential function in the form \(y = ab^x\) represents growth when the base (b) is greater than 1.

In an exponential function of the form y = ab^x, the base (b) is a crucial component. The behavior of the function depends on the value of the base.

When the base (b) is greater than 1, it means that b is a positive number larger than 1. In this scenario, as the value of x increases, the value of \(b^x\) also increases exponentially. This results in the function \(y = ab^x\) exhibiting growth.

To better understand this growth behavior, let's consider an example. Suppose we have an exponential function \(y = 2^x\). As x increases from 0, the values of \(2^x\) will be as follows:

For x = 0, \(2^0\) = 1

For x = 1, \(2^1\) = 2

For x = 2, \(2^2\) = 4

For x = 3, \(2^3\) = 8

For x = 4, \(2^4\) = 16

As you can see, as x increases, the values of \(2^x\) grow exponentially. This demonstrates the growth behavior of exponential functions when the base is greater than 1.

It's important to note that when the base (b) is between 0 and 1 (exclusive), the exponential function will exhibit decay or decreasing behavior rather than growth.

In summary, an exponential function of the form \(y = ab^x\) represents growth when the base (b) is greater than 1. As x increases, the function values increase exponentially, indicating a growth pattern.

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Answer:

Explanation:

2(x + 1) = 2x + 1

2(x + 1) = 2x + 1

(2)(x) + (2)(1) = 2x + 1 [Distribute]

2x + 2 − 2x = 2x + 1 − 2x

2 = 1

2 − 2 = 1 − 2

0 = −1

- PNW

Answer:

The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Step-by-step explanation:

Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).

To find the values in the domain where f(x) = 0, we look at the ordered pairs given.

We look for the pair in which f(x) = 0.

So f(x) = 0 in (-2.5, 0)

f(x) = 0 in (-0.75, 0)

and f(x) = 0 in (1, 0)

The corresponding values of x  in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Answer:

C. \(x=1\)

Step-by-step explanation:

When x is 1, y is 0.

The equation of the line in slope-intercept form is y = 5x − 18.

Point-Slope Form:
The equation of the line in point slope form is (y − y1) = a(x − x1) \

given that the slope is 5 and the line passes through (4,2).

Here, x1 = 4, y1 = 2, and slope, a = 5.

Substituting these values in the given formula,

we get(y − 2) = 5(x − 4)Slope-Intercept Form:

The given equation in point slope form is (y − 2) = 5(x − 4).

Now, we will convert it into the slope-intercept form y = mx + b,

where m is the slope and b is the y-intercept.

To convert the given equation into the slope-intercept form,

we simplify it by solving for y.(y − 2) = 5(x − 4)

⇒ y − 2 = 5x − 20 (distribute 5)⇒ y

= 5x − 20 + 2 (add 2 to both sides)⇒ y

= 5x − 18

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Answer:

it takes 2/3 gallons to paint each square yard of wall.

You know that Tyler painted 9/2 square yards area with 3 gallons of paint and want to know many gallons of paint does it take to paint each square yard of wall.

Then 9/2 square yards - 3 gallons

1  square yards - x gallons,

mathematically this is proportion: (in the picture)

The gallons of paint required for one square yard, and its tape diagram is required.

The volume of paint required to paint 1 square yard of the wall is \(\dfrac{2}{3}\ \text{gallons of paint}\)

The required tape diagram is attached.

\(\dfrac{9}{2}\ \text{square yards}=4.5\ \text{square yards}=3\ \text{gallons of paint}\)

\(1\ \text{square yard}=\dfrac{3}{4.5}=\dfrac{2}{3}\ \text{gallons of paint}\)

So, the volume of paint required to paint 1 square yard of the wall is \(\dfrac{2}{3}\ \text{gallons of paint}\)

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