Trisha knit a total of 8 centimeters of scarf over 4 nights. How many nights will Trisha have to spend knitting in order to knit a total of 48 centimeters of scarf? Assume the relationship is directly proportional.

In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

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

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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Answer:

The missing number is 20

Step-by-step explanation:

Given function: f(x) = 1/2x + 10

Rewrite: y = 1/2x + 10

Flip x and y: x = 1/2y + 10

x - 10 = 1/2y

2(x-10) = y

2x - 20 = y

y = 2x - 20

h(x) = 2x - 20

Answer:

Step-by-step explanation:

What is 3-3×6+2 please?

remember PEMDAS

3 - 3 × 6 + 2 =    (solve multiplication)

3 - 18 + 2 =         (solve addition)

3 - 16 =              (solve subtraction)

-13                     (result)

Answer: D

Step-by-step explanation:

Answer: Choice D

Open hole at -3 with shading to the left.

==========================================================

Explanation:

The inequality \(-3 > \text{x}\) is the same as \(\text{x} < -3\)

When swapping both sides, the inequality sign flips as well.

Since we're looking for numbers smaller than -3, this includes things like -4, -5, -6, -7, and so on. Therefore we shade to the left of -3 on the number line.

We have an open hole at -3 to indicate it's not included as part of the solution set. We would include it if there as an "or equal to" as part of the inequality sign.

Answer:

Step-by-step explanation:

A possible arrangement of the whole numbers 0 through 9, at most one time, to create an accurate number line is: 0 - 3 - 1 - 2 - 4 - 7 - 6 - 5 - 9 - 8.

To create an accurate number line using the whole numbers 0 through 9, at most one time, we need to arrange the numbers in ascending order from left to right.

To maintain the right spacing, each number should be spaced at an acceptable interval. Here is one possible configuration:

0 - 3 - 1 - 2 - 4 - 7 - 6 - 5 - 9 - 8.

In this arrangement, each number appears exactly once, and they are placed in sequential order with equal spacing between them.

This creates an accurate number line representing the whole numbers 0 through 9.

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Step-by-step explanation:

You have found a used car and your parents have agreed to pay the first $750 for you. You have a summer job mowing yards for $25 per yard. Write and inequality that will calculate the number of yards (y) you will have to mow to get to at least the cost (C) of the car.

25y + 750 = C

If the car cost a total of $4500 how many yards will you have to mow?

25y + 750 = 4,500

subtract 750 from both sides:

25y + 750 - 750 = 4,500 - 750

25y = 3,750

divide both sides by 25:

25y/25 = 3,750/25

y = 150

Must mow 150 yards.

check:

25(150) + 750 = 4,500

3,750 + 750 = 4,500

4,500 = 4,500

Answer:

13

Step-by-step explanation:

The average of a group of numbers is calculated by adding all of the numbers up and then dividing by the number of numbers. Because of this, we can easily find the sum of the numbers by multiplying the average by the numbers.

1.) The average of the first 3 numbers is 15, meaning that the total of the numbers is 15*3 = 45.

2.) The average of the 6 other numbers is 12, meaning that the total of the numbers is 6*12 = 72.

3.) Since we know the totals of both groups of numbers, to find the total of all the numbers, we add these totals together. 45 + 72 = 117.

4.) Finally, we are finding the average, and since we know the total is 117 and there are 9 numbers, we just divide 117 by 9 to get 13. Therefore, the average of the numbers is 13.

Answer:

answer would be 1:2

Step-by-step explanation:

you have to find the greatest common divisor of 5 and 10 and you divide 5 and 10 by the greatest common divisor.

The greatest common divisor that you can apply for 5:10 is 5 which means the answer to the ratio of 5:10 is:

1:2

The answer is \(\frac{32x+105}{120}\).

The area of mathematics known as algebra is used to represent situations or problems using mathematical expressions. In algebra, we combine integers with variables like x, y, and z.

A fraction is a number that is a component of a whole. In algebra, fractions can be added, subtracted, multiplied, and divided just like in basic arithmetic.

The given equation is an algebraic fraction having variables in the numerator. This equation is written as,

\(\left(\frac{3}{5}x+\frac{3}{4}\right)-\left(\frac{1}{3}x-\frac{1}{8}\right)\)

First combine, x with the nearby fraction,

\(\begin{aligned}\left(\frac{3}{5}x+\frac{3}{4}\right)-\left(\frac{1}{3}x-\frac{1}{8}\right)&=\left(\frac{3x}{5}+\frac{3}{4}\right)-\left(\frac{x}{3}-\frac{1}{8}\right)\\&=\frac{3x}{5}+\frac{3}{4}-\frac{x}{3}+\frac{1}{8}\end{aligned}\)

Now, group the fraction with a common denominator,

\(\begin{aligned}\left(\frac{3}{5}x+\frac{3}{4}\right)-\left(\frac{1}{3}x-\frac{1}{8}\right)&=\left(\frac{3x}{5}-\frac{x}{3}\right)+\left(\frac{3}{4}+\frac{1}{8}\right)\\&=\left(\frac{3x\cdot3}{15}-\frac{x\cdot5}{15}\right)+\left(\frac{3\cdot2}{8}+\frac{1}{8}\right)\\&=\left(\frac{9x-5x}{15}\right)+\left(\frac{6+1}{8}\right)\\&=\frac{4x}{15}+\frac{7}{8}\\&=\frac{32x+105}{120}\end{aligned}\)

Therefore, the final answer is \(\frac{32x+105}{120}\).

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Answer:
10

Step-by-step explanation:

-3x+7x-8=34+9x-2

(Combine like terms)

4x-8=32

(Add 8 to each side)

4x=40

(Divide by 4)

X=10

Answer:

The sample required is  \(n = 135\)

Step-by-step explanation:

From the question we are told that

     The  standard deviation is  \(\sigma = 9\)

      The margin of error is \(E = 2\)

Given that the confidence level is  99%  then the level of  significance is mathematically evaluated as

         \(\alpha = 100-99\)

        \(\alpha = 1 \%\)

        \(\alpha = 0.01\)

Next we will obtain the critical value  \(\frac{\alpha }{2}\) from the normal distribution table(reference  math dot armstrong dot edu) , the value is  

             \(Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 2.58\)

The  sample size is mathematically represented as

          \(n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2\)

substituting values

           \(n = [ \frac{ 2.58 * 9 }{2} ]^2\)

            \(n = 135\)

Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

Answer:

A

Step-by-step explanation:

using the Cosine Rule in Δ ABC

cosA = \(\frac{b^2+c^2-a^2}{2bc}\)

where a, b, c are the sides opposite A, B , C

here a = 10 , b = 12 , c = 8

cosA = \(\frac{12^2+8^2-10^2}{2(12)(8)}\) = \(\frac{144+64-100}{192}\) = \(\frac{108}{192}\) , then

∠ A = \(cos^{-1}\) ( \(\frac{108}{192}\) ) ≈ 55.8° ( to the nearest tenth )

The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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Answer:where is the question??.?

Step-by-step explanation:

Answer:

$540

Step-by-step explanation:

Define x as:

x = the Original Price, in dollars ($)

Then,

x - (80%)x = 108, where we note that (80%)x is the reduction amount, so that

20%x = 108,

0.2x = 108,

x = 108/0.2 = $540

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer:

Frank

Step-by-step explanation:

First let's start by calculating the speed of each runner.

Let's use feet per second

Frank's speed is already given in feet per second: 14 feet/second

We are given that Jake runs 382 feet in 38 seconds. To bring this down to feet/second we need to divide both numbers by 38.

382/38=10.05 feet/second (about)

We are given that Will runs 1 mile in 394 seconds. 1 mile is equivalent to 5280 feet. Now we divide both numbers by 394 to bring it down to feet/second.

5280/394=13.401  feet/second (about)

We are given that Ron runs 555 feet in 1 minute. 1 minute is equivalent to 60 seconds. Now we divide both numbers by 60 to bring it down to feet/second.

555/60=9.25 feet/second

After comparing all the speeds, we can conclude that Frank runs the fastest

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

C. two-thirds raised to the fourteenth

Step-by-step explanation:

Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

Answer:8

Step-by-step explanation:8x1=8

Answer:

4a=4a

Step-by-step explanation:

first you multiply 4 to a then 4 to 2 you'll have 4A + 8 = 8 + 4A you subtract 8 to both sides which will make 0 and the only thing you'll have is 4a equals 4a and that's the answer

Answer: All Real Numbers

Step-by-step explanation:

All Real Numbers . Just completed this quiz

The length of PQ is 3√5 and its slope is -2

The length of SR is 3√5 and its slope is -2

The length of SP is 5√2 and its slope is -7

The length of RQ is 5√2 and its slope is -1

So PQ ≅ SR and SP ≅ RQ. By the Perpendicular Bisector theorem, adjacent sides are perpendicular. By the selection of  side, ∠PSR, ∠SRQ, ∠RQP and ∠QPS are right angles. So, the quadrilateral is a rectangle.

To find the lengths and slopes of the sides of the quadrilateral PQRS, we apply the distance formula:

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

and the slope formula:

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

1. Length PQ:

Using the distance formula, the length PQ can be calculated as follows:

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

  = √((3 - 0)² + (-4 - 2)²)

  = √(3² + (-6)²)

  = √(9 + 36)

  = √45

  = 3√5

2. Length SR:

Using the distance formula, the length SR can be calculated as follows:

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

  = √((1 - (-2))² + (-5 - 1)²)

  = √((1 + 2)² + (-6)²)

  = √(3² + 36)

  = √(9 + 36)

  = √45

  = 3√5

3. Length SP:

Using the distance formula, the length SP can be calculated as follows:

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

  = √((1 - 0)² + (-5 - 2)²)

  = √(1² + (-7)²)

  = √(1 + 49)

  = √50

  = 5√2

4. Length RQ:

Using the distance formula, the length RQ can be calculated as follows:

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

  = √((-2 - 3)² + (1 - (-4))²)

  = √((-2 - 3)² + (1 + 4)²)

  = √((-5)² + 5²)

  = √(25 + 25)

  = √50

  = 5√2

Now, let's calculate the slopes of the sides:

1. Slope PQ:

The slope of PQ can be calculated using the slope formula:

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

  = (-4 - 2) / (3 - 0)

  = -6 / 3

  = -2

2. Slope SR:

The slope of SR can be calculated using the slope formula:

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

  = (-5 - 1) / (1 - (-2))

  = -6 / 3

  = -2

3. Slope SP:

The slope of SP can be calculated using the slope formula:

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

  = (-5 - 2) / (1 - 0)

  = -7 / 1

  = -7

4. Slope RQ:

The slope of RQ can be calculated using the slope formula:

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

  = (1 - (-4)) / (-2 - 3)

  = 5 / (-5)

  = -1

Therefore, the lengths and slopes of the sides of the quadrilateral PQRS are:

Length PQ: 3√5

Length SR: 3√5

Length SP: 5√2

Length RQ: 5√2

Slope PQ: -2

Slope SR: -2

Slope SP: -7

Slope RQ: -1

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Answer:

C. (x + 3)(x − 8)

Step-by-step explanation:

We need two numbers that add to -5 and multiply to -24.

They are -8 and 3 since -8 + 3 = -5, and -8 * 3 = -24.

x^2 - 5x - 24 = (x - 8)(x + 3)

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

\(y=3a^{\frac{x}{10}\)

\(y=a3^{\frac{x}{10}\)

Therefore the daily rate is given by \(3^{\frac{x}{10}\).

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So, the given triangle is a scalene right triangle.

what is triangle ?

With three consecutive sides and three angles, a triangle is an enclosed plane shape. It is one of the fundamental geometric shapes and is frequently used in physics, maths, and engineering. A triangle's total angles are always 180 degrees. Triangles come in a variety of shapes, such as equilateral triangles, which have three equal sides and angles, isosceles triangles, which have two equal sides and angles, and scalene isosceles (all sides and angles are different).

To determine the type of triangle based on the given side lengths, we can use the following rules:

If all three sides are equal, it's an equilateral triangle.

If two sides are equal, it's an isosceles triangle.

If all three sides are different, it's a scalene triangle.

We can also use the Pythagorean theorem to determine if the triangle is a right triangle. According to this theorem, in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.

Let's check the sides of the given triangle using these rules:

The three sides are different, so it's a scalene triangle.

To check if it's a right triangle, we can find the longest side (53) and see if it satisfies the Pythagorean theorem with the other two sides. Using a calculator, we find that \(28^2 + 45^2 = 784 + 2025 = 2809\), and \(53^2 = 2809.\)Therefore, the triangle is a right triangle.

So, the given triangle is a scalene right triangle.

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