If a delivery truck drives 150 miles in 6 hours and maintains that rate of speed,
what is the unit rate for miles per hour?

Answer:

4

Step-by-step explanation:

We need to know about rate of change to solve the problem. The flower was 16.5 cm tall on 13th April.

Rate of change is the rate at which a quantity changes over time, the rate of change might be increasing or decreasing. We know that the flower was 15 cm tall on 8th April and it grew to become 17.4 cm tall on 16th April, we can find the rate of growth of flower from this information. We need to use the rate of change to find out in how many days the flower will be 16.5 cm tall.

rate of growth= 17.4-15/16-8=0.3 cm

number of days to grow by 1.5 cm =1.5/0.3=5

Therefore the flower becomes 16.5 cm tall on 13th April.

Learn more about rate of change here:

https://brainly.com/question/20884505

#SPJ4

Answer:

8, 0.5

Step-by-step explanation:

i hope this helps :)

Answer:

59.69 ft (nearest hundredth)

Step-by-step explanation:

The edge of a circular pool is the circumference of a circle

circumference of a circle = \(\pi d\)  (where d is the diameter)

Given diameter = 19 ft

⇒ circumference = 19\(\pi\) = 59.69 ft (nearest hundredth)

The tip of the minute hand on a clock travels a distance of 15π inches in 45 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 10 inches.

The circumference of the circle traced by the tip of the minute hand is:

C = 2πr

= 2π(10)

= 20π inches

Since the minute hand travels the full circumference of the circle in 60 minutes, in 45 minutes it will cover 45/60 = 3/4 of the circumference.

The distance traveled by the tip of the minute hand in 45 minutes is:

Distance = (3/4) × C

= (3/4) × (20π)

= 15π inches

For similar questions on distance

https://brainly.com/question/26046491

#SPJ11

Answer:

4 pizzas - 26 cups

13 cups - 2 pizzas

Step-by-step explanation:

4 pizzas:

39 cups : 6 pizzas

6.5 cups : 1 pizza

6.5×4 cups : 4 pizzas

4 pizzas = 26 cups

6.5 cups : 1 pizza

13/6.5 cups : x pizzas

13 cups = 2 pizzas

Answer:

1) necesita 26 tazas de harina .

2) puede hacer solo 2 pizzas .

espero te sirva :)

Step-by-step explanation:

1) 39 dividido en 6 = 6,5 , 6,5 por 4 = 26.

2) 6,5 por 2 = 13.

Hello there!

If a bag has 12 balls labelled 1 through 12, that means that the balls inside the bag includes:

1  2  3  4  5  6  7  8  9  10  11  12

When creating a fraction for a probability, the numerator usually consists of a specific probability you are trying to find; the denominator usually consists of the total amount of samples in the bag.

In this example: What is the probability of picking an even number?

Ask yourself: What are we trying to find?

We are trying to find the probability of even numbers.

Then ask yourself: What is the amount of possibilities that we can get an even number from the bag?

The bag consists of: 1  2  3  4  5  6  7 8  9  10  11  12

Even numbers are divisible by 2 and has a remainder of 0 ; which means in this bag, the bolded numbers are even.

Then we can conclude that in this bag, counting all of the bolded numbers, we have 6 possibilities of choosing an even number.

Finally, think about: What is the total amount of samples in this bag?

We know that there are 12 balls, so 12 would be the total amount.

To conclude, we can find 6 even numbers in a bag of 12 balls;

Therefore, the chances you can pick an even number is \(\frac{6}{12} ,\) or \(\frac{1}{2}\).

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ1

The higher the RPN value, the more critical the risk. In this case, the RPN is 70 which is considered to be moderate and needs to be acted upon to prevent a possible outcome.

Risk Priority Number (RPN) is a quantitative way of prioritizing risk. To calculate RPN from the following: severity = 7, occurrence = 2, and detectability = 5, the following steps are used:

Step 1: Multiply severity, occurrence, and detectability to get the risk priority number (RPN). That is, 7 x 2 x 5 = 70.

Step 2: To calculate the RPN, make a list of all the potential risks and the severity, occurrence, and detectability ratings for each risk. The RPN is calculated by multiplying the severity, occurrence, and detectability ratings together. RPN values range from 1 to 1,000 or higher.

Step 3: Once you have identified the risks and calculated their RPN values, prioritize them.

The higher the RPN value, the more critical the risk. In this case, the RPN is 70 which is considered to be moderate and needs to be acted upon to prevent a possible outcome.

To know more about Risk Priority Number (RPN) visit:

https://brainly.com/question/28480878

#SPJ11

Answer:

20 points

Step-by-step explanation:

He had 10 correct making him earn 30 points

He had 5 wrong lossing 10 points

He didn't answer 10 lossing no point

So 30-10=20

Answer: 20 points

Step-by-step explanation:

Total questions answered = 15

10 correct answers = 10(3) = 30

5 incorrect answers = 5(2) = 10

Therefore since the student loses 2 points with each wrong answer

=30 - 10

=20 points

Answer: (read the explanation)

Step-by-step explanation:

To graph the solution set to the given system of inequalities, we can begin by graphing the two inequalities separately. For the first inequality, y > x^2 – 2, we can graph the function y = x^2 – 2 on the coordinate plane and shade the region above the graph. This will represent the values of x and y that satisfy the inequality.

For the second inequality, y ≥ –x^2 + 5, we can graph the function y = –x^2 + 5 on the coordinate plane and shade the region below the graph. This will represent the values of x and y that satisfy the inequality.

Next, we can combine the two graphs by intersecting the shaded regions. The resulting graph will show the solution set to the system of inequalities. The solution set can be identified as the points on the coordinate plane that are contained within the shaded region on the combined graph.

Overall, to modify the graphs of f(x) and g(x) to graph the solution set to the given system of inequalities, we can graph the functions y = x^2 – 2 and y = –x^2 + 5 on the coordinate plane and shade the regions that satisfy the inequalities. The solution set can then be identified as the points within the shaded region on the resulting combined graph.

Answer:

x = 14

Step-by-step explanation:

x + 10 = 2x - 4

x + 10 - 10 = 2x - 4 - 10

x = 2x - 14

x - 2x = 2x - 2x - 14

- x = - 14

- x ÷ - 1 = - 14 ÷ - 1

x = 14

The equation that models the situation is 0.50x+7.50= 0.75(x+6)( option B)

Average cost is the ratio of the total cost to the total number of unit. It can be expressed mathematically as AC = TC/Q

where Q is the total number of unit and TC is the total cost

Cost for wooden bead = 0.5× x= 0.5x

cost for glass beads = 1.25×6 = $7.50

total cost = 0.50x+ 7.50

total unit = x+6

therefore average cost = (0.50x+7.50)/(x+6)

0.75= (0.50x+7.50)/(x+6)

therefore 0.5x+7.50 = 0.75(x+6)

therefore the equation 0.5x+7.50 = 0.75(x+6) can be used to model the situation.

learn more about average cost from

https://brainly.com/question/29802410

#SPJ1

Answer:

B

Step-by-step explanation:

Answer:

Just took the test the answer is 85%

Answer:

0.40=2/5

Step-by-step explanation:

the arc-length of the given curve is 53.6204 units.

The formula for arc length is given as : L =  ∫a^b√[1 + f'(x)²] dxHere, the given function is:x = (t^2) / 22  and  y = (t^2 + 2t + 5)^(3/2) Now, we can differentiate the given function to find f'(x). Here's the differentiation process:dx/dt = t/11dt/dt = 1

Now, we can find f'(x) by substituting the values: f'(x) = √[dx/dt² + dy/dt²]f'(x) = √[(t² / 121) + (t² + 2t + 5)³]

Now, let's simplify it:

f'(x) = √[t^4 + 4t^3 + 26t² + 40t + 125]

Finally, let's substitute all the values in the formula:L =  ∫0^2√[1 + (t^4 + 4t^3 + 26t² + 40t + 125)] dt

To solve this, let's break this down into simple steps. Follow these steps to find the arc length of the given curve:

Step 1: Differentiate the given function to find f'(x). We've found it above. We can use that value to simplify the formula further.

Step 2: Write down the formula of arc length given above and substitute the values for it. L =  ∫a^b√[1 + f'(x)²] dx Here, we have a = 0 and b = 2. Therefore, L = ∫0^2√[1 + (t^4 + 4t^3 + 26t² + 40t + 125)] dt

Step 3: Let's simplify this further by expanding the expression inside the square root.L = ∫0^2√[t^4 + 4t^3 + 26t² + 40t + 126] dt

Step 4: To find the antiderivative of the expression, we can use substitution method. Let's assume u = t² + 2t + 5 Therefore, du/dt = 2t + 2 and dt = du / 2(t+1)

Using this substitution, we can simplify the expression inside the integral further:L = ∫0^2√[(u^(3/2))/2 + 5u^(1/2) - 2u + 127/2] du / 2(t+1)

Step 5: Now, let's solve this integral using the substitution rule:Let's first find the antiderivative of [(u^(3/2))/2 + 5u^(1/2) - 2u + 127/2] = [(2/5)u^(5/2) + (10/3)u^(3/2) - u² + (127/2)u]

Therefore, L = [((2/5)u^(5/2) + (10/3)u^(3/2) - u² + (127/2)u) | [0, 2]] / 2(t+1)L = [(2/5)(19^(5/2)) + (10/3)(19^(3/2)) - (2^2) + (127/2)(2) - (2/5)(0^(5/2)) - (10/3)(0^(3/2)) + 0 + (127/2)(0)] / 4

Step 6: Simplify the expression: L = [38.8073 + 53.6743 - 4 + 127 - 0 - 0 + 0 + 0] / 4L = 214.4816 / 4L = 53.6204 units

Therefore, the arc-length of the given curve is 53.6204 units.

To know more about integral visit:

brainly.com/question/31109342

#SPJ11

Answer:

I think yeah, triangle with this side are possible.

Answer:

I don think so they only have 3 sides so I think the answer is no

Step-by-step explanation:

please mark brainliest ☺♦

Answer:

15.6.

Step-by-step explanation:

5-44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)

= 5 + 33 - 27*0.8 - 0.8

= 5 + 33 -21.6 - 0.8

= 15.6.

The solution of the expression will be;

⇒ - 50.4

What is Mathematical expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 5 - 44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)​

Now,

Solve the expression as;

⇒ 5 - 44 • (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)​

⇒ 5 - 44 • (-0.75) - 18 × 3/2 • 0.8 + (-4/5)​

⇒ 5 - 44• (-0.75) - 27 • 0.8 + (-4/5)​

⇒ 5 - 33 - 21.6 - 0.8

⇒ - 50.4

Thus, The solution of the expression will be;

⇒ - 50.4

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

y = - \(\frac{3}{2}\) x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = \(\frac{0-3}{2-0}\) = - \(\frac{3}{2}\)

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \(\frac{3}{2}\) x + 3 ← equation of line

When a plane is inclined at a 45-degree angle and intersects a cylinder's base along its diameter with radius "r," it results in the division of the cylinder into two identical right circular cones.

Imagine a cylinder with a radius "r."

The plane passes through the cylinder's base, creating a line that bisects the circular base into two equal halves.

This intersection between the inclined plane and the cylinder forms a cross-section that resembles an isosceles right triangle.

By symmetrically splitting the cylinder along its central axis, the inclined plane generates two congruent right circular cones, each with a 45-degree angle at its apex. The curved line formed by the intersection represents the boundary between the two cone halves.

Learn more about cylinder here:

https://brainly.com/question/30419673

#SPJ12

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

The focus of the parabola is located at the point (1/224, 6).

To find the coordinates of the focus of the parabola represented by the equation y = -112x² - x + 6, use the formula for the focus of a parabola in standard form, which is given by (h, k + 1/(4a)), where the equation is in the form y = ax² + bx + c.

Comparing the given equation y = -112x² - x + 6 to the standard form y = ax² + bx + c, a = -112, b = -1, and c = 6.

To find the x-coordinate of the focus (h), use the formula h = -b/(2a).

Substituting the values of a and b into the formula:

h = -(-1)/(2 × (-112))

h = 1/224

To find the y-coordinate of the focus (k + 1/(4a)), use the formula k + 1/(4a) = c - (b² - 1)/(4a).

Substituting the values of a, b, and c into the formula:

k + 1/(4a) = 6 - ((-1)² - 1)/(4 × (-112))

k + 1/(4a) = 6 - (1 - 1)/(-448)

k + 1/(4a) = 6

Now, solving for k:

k = 6 - 1/(4a)

k = 6

Therefore, the coordinates of the focus of the parabola are (h, k) = (1/224, 6).

Hence, the focus of the parabola is located at the point (1/224, 6).

Find out more on parabola here: https://brainly.com/question/28563771

#SPJ1

The number of solutions which the equation y = -2x² -7x + 5 has as required in the task content is; 2.

As evident in the task content; the number of solutions which the given equation has is to be determined.

Since the given equation; y = -2x² -7x + 5 is a quadratic equation.

It follows that the number of solutions which the equation has is two.

PS; Quadratic equations are polynomials with degree 2 and hence, have two solutions.

Read more on quadratic equations;

https://brainly.com/question/24546586

#SPJ1

Answer:

it could be either 1, 2 or 7

Step-by-step explanation:

1×14=14

2×7=14

7×2=14

Answer:

5+8=14

Step-by-step explanation:

5+8 is 13 not 14

Answer:

4x + 16

Step-by-step explanation:

The area of the shaded region = area of the outer rectangle - area of the inner rectangle

Area of rectangle = l*w

Area of outer rectangle, where length (l) = (x + 5), and width (w) = (x + 4):

Area = (x + 5)(x + 4)

Expand

x(x + 4) +5(x + 4)

x² + 4x + 5x + 20

area of outer rectangle = x² + 9x + 20

Area of inner rectangle, where length (l) = (x + 4), and width (w) = (x + 1):

Area = (x + 4)(x + 1)

Expand

x(x + 1) +4(x + 1)

x² + x + 4x + 4

Area of inner rectangle = x² + 5x + 4

Area of shaded region = (x² + 9x + 20) - (x² + 5x + 4)

x² + 9x + 20 - x² - 5x - 4

Collect like terms together

x² - x² + 9x - 5x + 20 - 4

4x + 16

Area of the shaded region = 4x + 16

Answer:

-37/100

Step-by-step explanation:

-37÷100

=-37/100

Answer:

Write the number in scientific notation

-0. 3 7 = - 3 . 7 × 1 0-¹<- minus 1

Rewrite the decimal as a fraction

-37 /100

Answer:

\(y=\frac{5}{6} x-2\)

Step-by-step explanation:

Point-slope form:

where \((x_1, \ y_1)\) are coordinates of a point that the line passes through, and \(m\) is the slope of the line.

We are given two points that the line passes through, but we are not given the slope.

We can find the slope by using the slope formula:

where \((x_1, \ x_2)\) and \((y_1, \ y_2)\) are two points that the line passes through.

Substitute (-6, -7) and (6, 3) into the slope formula:

The slope of this line is 5/6. Now we are able to use the point-slope equation to find the slope-intercept equation \((y=mx+b)\) of this line.

Substitute a point that the line passes through and the slope of the line into the point-slope equation. I'm using the point (6, 3).

Distribute 5/6 inside the parentheses.

Add 3 to both sides of the equation.

This is the equation of the line that passes through (-6, -7) and (6, 3) in slope-intercept form.