If wy is the midsegment of triangle QRS. Find the value of x, if WY=80 and RS=2x+20

Answer:

1.5 per minute

Step-by-step explanation:

unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45

Answer:

x = 39

Step-by-step explanation:

In the image, in order for DE to be parallel to CB, the scale factor between AE and EB should be the same as between AD and DC. To solve this, you first need to identify these lines:

AE = 12, EB = x - 3

AD = 6, DC = 18

Now, you need to find the scale factor by dividing 18 by 6:

18 ÷ 6 = 3

So the scale factor from AD to DC is 3. This means that the scale factor from AE (12) to EB should also be 3. You can find x by writing and solving an equation:

12 × 3 = x - 3 (given)

36 = x - 3 (simplify)

x = 39 (add 3 to both sides)

So x = 39.

The proportion of all bearings falls in the acceptable range is 0.9544 (rounded to four decimal places).

The proportion of all bearings falls in the acceptable range is 0.9544. The given problem statement asks to determine the proportion of bearings produced in the acceptable range, given the mean, standard deviation and the acceptable range for bearing diameters.Solution: The given distribution is normal with mean (μ) = 1.5 cm and standard deviation (σ) = 0.02 cm. Also, the acceptable range of diameter is from 1.46 cm to 1.54 cm, hence the distance between the lower limit and mean is: $Z_{lower}=\frac{1.46-1.5}{0.02}=-2$Similarly, the distance between upper limit and mean is:$Z_{upper}=\frac{1.54-1.5}{0.02}=2$Using the standard normal table or calculator, we can obtain the probability (proportion) of the distribution that falls within the acceptable range (from $Z_{lower}$ to $Z_{upper}$).So, the proportion of all bearings that fall in the acceptable range is:$$P(-2≤Z≤2)=0.9544$$Therefore, the proportion of all bearings falls in the acceptable range is 0.9544 (rounded to four decimal places).

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Answer:x=y-bm

Step-by-step explanation:

Answer:

x = y-b/m

Step-by-step explanation:

Step 1:  y = mx + b

Step 2: Bring b to the left side of the equation

Step 3: y - b = mx

Step 4: To isolate for x, we must get rid of m. Therefore, divide m on both sides of the equation

Step 5: y-b/m = mx/m

Step 6: On the right side of the equation, m and m crosses out.

Step 7: All we have left is: y-b/m = x

(Or you can write it as x = y-b/m)

Hope this helps.

Answer:

Range: [-6, ∞)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's y-values span from -6 to infinity. Since -6 is closed dot, it is inclusive in the range.

Interval Notation: [-6, ∞)

Inequality Notation: y ≥ -6

Answer:

for the first question is -4

the second question is -11

Answer: 1. -4

              2. -11

hope this helps :)

Answer:

343

Step-by-step explanation:

There are quarters(25¢), loonies ($1), and toonies ($2)

And total number of coins is 9

If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7

If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7

If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7

So possible number number of combination for an item that cost between $10 and $12 is

= 1^3 * 1^3 * 7^3

= 343

hope this helps, stay safe :)

The number of different combinations of coins could Teo use to pay for an item that costs between $10 and $12 is 17.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Given that,

Teo has a combination of quarters, loonies, and toonies in his pocket.

Total number of coins = 9

1 quarter = $0.75

1 loonie = $1

1 toonie = $2

If he uses fewer toonies than loonies,

Total number of combinations of 9 coins = 1³ × 1³ × 7³ = 343

We need the number of combinations in between $10 and $12.

We can form the following combinations.

(2 × $1) + $2 gives $4. Remaining can be 8, 9 and 10 quarter coins.

(3 × $1) + (2 × $2) gives $7. Remaining can be 4, 5 and 6 quarter coins.

(3 × $1) + (1 × $2) gives $5. Remaining can be 7, 8 and 9 quarter coins.

(4 × $1) + (3 × $2) gives $10. Remaining can be 1 or 2 quarter coins.

(4 × $1) + (2 × $2) gives $8. Remaining can be 3, 4 and 5 quarter coins.

(4 × $1) + (1 × $2) gives $6. Remaining can be 6, 7 and 8 quarter coins.

Total number of combinations = 3 + 3 + 3 + 2 + 3 + 3 = 17

Hence the total number of combinations are 17.

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Step-by-step explanation:

draw a rectangle with width 98 and height 55 there are two of each side, so 98 + 98 + 55 +55 = 306

Answer:

306m

Step-by-step explanation:

You need to find the perimeter of the rectangle. To do that, you just add the side lenghts. So, this is your lawn with the side lengths:

                      55m
           _____________
           |                           |
           |                           |
           |                           |
98m    |                           |     98m
           |                           |
           |                           |
           |                           |
           _____________
                      55m

You just add them together!

55 + 55 + 98 + 98 = 306

so you need 306 meters of fencing

Answer:

0.0000016

Step-by-step explanation:

(8×10^-3)×(2×10^-4)

=8×10^-3 × 2×10^-4

= (8×2) × (10^-3 × 10^-4)

=16 × 10^(-3) + (-4)

= 16 × 10^ (-3-4)

=16× 10^(-7)

= 0.0000016

The fraction of the Easter bunny's diet is 3/5.

Let's assume that the Easter bunny eats a certain amount of food every day, and that this food is made up entirely of rabbit food and carrots.

Let's also assume that the fraction of the Easter bunny's diet that is rabbit food is 2/5.

We can use fractions to represent the proportion of the Easter bunny's diet that is made up of rabbit food and carrots.

Let's use "r" to represent the fraction of the diet that is rabbit food, and "c" to represent the fraction that is carrots.

Since the Easter bunny's diet consists entirely of rabbit food and carrots, we know that:

r + c = 1

In addition, we know that the fraction of the Easter bunny's diet that is rabbit food is 2/5, so:

r = 2/5

We can substitute this value for "r" in the first equation to get:

2/5 + c = 1

Subtracting 2/5 from both sides, we get:

c = 1 - 2/5

Simplifying, we get:

c = 3/5

Therefore, the fraction of the Easter bunny's diet that is made up of carrots is 3/5.

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Answer:

Yes two sets of data have the same mean but not the same variance

We can be 99.7% confident that the true proportion of individuals with schizophrenia in the population lies between 0.44 and 0.62.

In our schizophrenia model, the rough 99.7% certainty stretch can be determined utilizing the point gauge and standard blunder of the extent. With a point gauge of 0.53 and a standard blunder of 0.03, we can involve the equation for a certainty stretch, which is point gauge ± z* (standard mistake), where z* is the z-score related with the ideal certainty level.

For a 99.7% certainty stretch, the z-score is roughly 3. Consequently, the certainty span would be:

0.53 ± 3(0.03) = (0.44, 0.62)

This implies that we can be 99.7% certain that the genuine extent of people with schizophrenia in the populace lies somewhere in the range of 0.44 and 0.62.

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Answer:

16/81

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

how do you solve it the problem

Answer:

x = 55° and y = 25°

Step-by-step explanation:

Since we have two triangular patios with angles  (x + 5)°, (y + 15)°, and 80° and the second patio has angles, (x + 25)°, 40°, and 60° respectively, and the sum of angles in a triangle is 180, we have that,

(x + 5)° + (y + 15)° + 80° = 180° and

(x + 25)° + 40° + 60° = 180°

Simplifying both expressions, we have

x + 5° + y + 15° + 80° = 180° and

x + 25° + 40° + 60° = 180°

collecting like terms, we have

x  + y + 5° + 15° + 80° = 180° and

x + 25° + 40° + 60° = 180°

Adding the like terms, we have

x  + y + 100° = 180°  and

x + 125° = 180°

So,

x  + y = 180° - 100° and

x = 180° - 125°

Thus,

x  + y = 80°   and

x = 55°  

So, y = 80° - x = 80° - 55° = 25°

So, x = 55° and y = 25°

The coordinates of point M are (-6, 6.5). Option (B) is the correct answer.

We are given that S(-4, 5) is the midpoint of MP and the coordinates of P are (-8, 8). We want to find the coordinates of point M.

Since point S is the midpoint of MP, we can use the midpoint formula to find the coordinates of point M:

Midpoint formula: (xm, ym) = ((xp + xs)/2, (yp + ys)/2)

Substituting the given values, we get:

(xm, ym) = ((-8 - 4)/2, (8 + 5)/2)

(xm, ym) = (-6, 6.5)

The other points listed in the answer choices are not relevant to this problem.(option-b)

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Using the midpoint formula to solve the equations gives us the coordinates of M as (0,2).

In mathematics, we can find the coordinates of the point M using the formula properties of a line division. Since S is the midpoint, that means it equally divides the line segment MP into two. The midpoint formula is M = [(x1+x2)/2 , (y1+y2)/2]. You have the coordinates of S(-4,5) and P(-8,8), so we can set up the following equations using the midpoint formula:
(-4+X)/2 = -8 and (5+Y)/2 = 8
Solving these equations for X and Y, we get X = 0 and Y = 2. Therefore, the coordinates of M would be (0,2), which is option O (0,2) in your given choices.

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1. The slope of the water table between the two wells can be calculated by determining the difference in water table levels and dividing it by the distance between the wells. 2. The slope of Deer Creek can be determined by calculating the difference in elevation between its source and the valley floor and dividing it by the length of the creek. 3. To determine the ground measurements corresponding to 3.5 inches on the map, we need to use the map's scale. The scale of 1:24000 means that 1 inch on the map represents 24000 inches on the ground.

1. To calculate the slope of the water table between the wells, we subtract the water table level at one well (100 feet) from the level at the other well (300 feet), resulting in a difference of 200 feet. Since the wells are half a mile apart (2640 feet), we divide the difference in water table levels by the distance between the wells, giving us a slope of approximately 0.076 ft/mi.

2. The slope of Deer Creek can be determined by subtracting the elevation of its source (2700 meters) from the elevation at the valley floor (1290 meters), resulting in a difference of 1410 meters. Since the creek flows for 8 kilometers, we divide the elevation difference by the length of the creek, giving us a slope of approximately 176.25 m/km or 0.176 m/m.

3. To determine the ground measurements corresponding to 3.5 inches on the map, we use the scale of 1:24000. Since 1 inch on the map represents 24000 inches on the ground, 3.5 inches on the map would represent 84000 inches on the ground, which is approximately 7000 feet or 1.32 miles.

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The dimensions of the rectangle is 25m × 25m.

Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth.

The three dimensions of a three-dimensional shape are length, width, and depth.

It is given that

Perimeter of the rectangle = 100m

Area is as large as possible if both the values are the same number.

The measurements must be equivalent for the rectangle to attain its maximum area.

Consider the dimensions as x

So perimeter can be written as

2 (x + x) = 100

2 (2x) = 100

By additional computation

4x = 100

Divide both sides by 4

x = 25

Therefore, the dimensions of a rectangle is 25m × 25m.

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The dimension for the enclosure that is most economical to construct will be length=11.13 feet and width=27.85 feet.

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

A=l*b

=310

b=310/l

total cost=(8b+4l+16l)

=8b+20l

=8*310/l+20l

t=2480/l+20l

t'=20-2480/l²

t'=0

20l²=2480

l²=124

l=11.13 feet

b=310/11.13

b=27.85 feet

The enclosure's length and width, which add up to 11.13 feet and 27.85 feet respectively, will be the most cost-effective dimensions to build.

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The length of the missing side (hypothenuse) is equal to 5

"Information available from the question"

Opposite side of the triangle(y) = 3

Adjacent side of the triangle (z)= 4

Hypothenuse side of the triangle = x

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle if two sides are given.

\(x^{2} =y^2+z^2\)

Let's substitute the values into the formula and solve for the hypothenuse

\(x^{2} =3^2+4^2\)

\(x^{2}\) = 9 + 16

\(x^{2}\) = 25

\(x=\sqrt{25}\)

x = 5

The length of the missing side (hypothenuse) is equal to 5.

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On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

The lengths of the shorter and longer pieces of a board should be determined.

the case

Let's say that the shorter parts are x in length.

as stated

Jared has an 11-foot wooden board with him.

In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.

The length of the longer pieces is then equal to 4x - 4.

The equation then becomes

\(x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft\)

The shorter pieces will therefore be 3 feet long.

The longer pieces' length -

\(4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft\)

The longer pieces will therefore be 8 feet long.

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Answer:

12 is the answer

Step-by-step explanation:

first r/r will cancel r

9/3*4 is left

simplifying 9/3 gives 3

hence answer is 3*4=12

plz mark brainliest

Answer:

\(9r \div 3r = (3r)4 = 12r \)

The first consecutive even integer that follows -6 is -4.

To determine the first consecutive even integer that follows -6, we need to consider the concept of consecutive even numbers. Consecutive even integers are a series of numbers that follow one another with a difference of 2. In this case, we start with -6, and the next even number would be -4.

To understand why -4 is the correct answer, we can examine the pattern of even numbers. Even numbers are divisible by 2, and each even number can be represented as 2n, where n is an integer. Starting with -6, we can assign n = -3, since (-3) x 2 = -6. Moving to the next even number, we increment n by 1, giving us n = -2. Plugging this into the equation, we get (-2) x 2 = -4, confirming that -4 is the first consecutive even integer following -6.

Therefore, option A (-4) is the correct answer as it is the first consecutive even integer that follows -6.

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Answer:

\((\dfrac{1}{4})^{\dfrac{-3}{2}}\) = 8

Step-by-step explanation:

The given expression is :

\((\dfrac{1}{4})^{\dfrac{-3}{2}}\)

We know that,

\(\dfrac{1}{x}=x^{-1}\)

So,

\((\dfrac{1}{4})^{\dfrac{-3}{2}}=(\dfrac{1}{2^2})^{\dfrac{-3}{2}}\\\\=(2^{-2})^{\dfrac{-3}{2}}\\\\=(2^{-1})^{-3}\\\\=2^3\\\\=8\)

So, the value of the given expression is 8.

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Answer:

\(vol.\: of \: cone \\ = \frac{1}{2} \times \frac{22}{7} \times 4 \times 4 \times 8 \\ = \frac{11 \times 16 \times 8}{7} \\ = 1408 \\ = 201.14 \\ = 201.1\)

Answer:

Vertex: (2, -1)

Axis of Symmetry: x=2

Parabola: Downwards

Step-by-step explanation:

The equations that can be used to solve for y are options 2, 3, and 5, and the solution is y = 30.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x.

Let's assume that the length of the room is y feet. Then, according to the problem, the width of the room is y-5 feet.

The area of the rectangular room is given by the formula:

Area = length x width

We are given that the area is 750 square feet. So we can write:

750 = y(y-5)

Simplifying this equation, we get:

y² - 5y - 750 = 0

This is a quadratic equation that can be solved using the quadratic formula:

y = (-b ± √(b² - 4ac)) / (2a)

where a = 1, b = -5, and c = -750.

Now let's check which of the given options can be used to solve this equation.

Option 1: y(y + 5) = 750

This equation is not equivalent to the quadratic equation we derived above. We cannot use it to solve for y.

Option 2: y² - 5y = 750

This is the same equation we derived above. It can be used to solve for y using the quadratic formula.

Option 3: 750 - y(y - 5) = 0

This equation is equivalent to the quadratic equation we derived above, but it is not in standard form. We can simplify it to y² - 5y - 750 = 0, which can be used to solve for y.

Option 4: y(y - 5) + 750 = 0

This equation is not equivalent to the quadratic equation we derived above. We cannot use it to solve for y.

Option 5: (y + 25)(y - 30) = 0

This is a factorization of the quadratic equation y² - 5y - 750 = 0. It can be used to find the roots of the equation, which are y = -25 and y = 30. However, since the length of the room cannot be negative, the only valid solution is y = 30.

Therefore, the equations that can be used to solve for y are options 2, 3, and 5, and the solution is y = 30.

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