Graph 40-5y=x and plot coordinates.

Answer:

Two solutions: X = -5 and X = -0.5

Step-by-step explanation:

4x^2 + 22x + 10 = 0 // divide by 2

2x^2 + 11x + 5 = 0

delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81

sqrt(delta) = 9

x1 = (-11 - 9) / 4 = -5

x2 = (-11 + 9) / 4 = -0.5

They found that those who had been treated with Procellera healed almost twice as fast is d. retrospective study.

A retrospective study is a type of research that looks back at past events or data to draw conclusions.

In this case, the researchers looked back at the records of 38 patients who had been treated for acute or chronic wounds between 2010 and 2012 to see if those who had been treated with Procellera healed faster than those who had not.

A randomized experiment would involve randomly assigning participants to different treatment groups and comparing the results. A matched experiment would involve matching participants based on certain characteristics and then comparing the results of different treatments.

A survey would involve asking participants questions about their experiences or opinions. A prospective study would involve following participants over a period of time and collecting data as events occur.

In this case, the researchers were looking back at past data, so the correct answer is a retrospective study.

Hence Option d is correct.

For more similar questions on records:

brainly.com/question/13189580

#SPJ11

Answer: 5(3+2)

Step-by-step explanation: and once you distribute that it gives you (15+10) so that’s how you know it’s right hope it helped

(sorry if it’s wrong lol )

Answer:

D. reflect across the y-axis  and translate right 1 unit

Step-by-step explanation:

Answer:

the unit rate is 1.33$ per pound of apples

Step-by-step explanation:

you can rewrite the word problem as

3x = 3.99.

now just divide both sides by 3.

3x / 3 = 3.99/3

x = 1.33

Using Absolute Maximum and Minimum,

the absolute Maximum value of f(x) is 8.5 at x = 8 and absolute minimum value of f (x) is 2.44 at x = 0.2 on given interval [0. 2, 8].

we have given function is

f(x) = x + 4/x ---(1)

and interval [ 0.2 , 8]

firstly, find first order derivative of f(x)

f'(x) = 1 - 4/x²

now, f'(x) = 0 then 1 - 4/x^2 =0

=> 4/x²= 1

=> x² = 4

=> x = 2 or -2

that is 2 and -2 are critical points but only critical number 3 belong to given closed interval.

we evaluate the value of "f" at critical point, x =3 and at ends points of given interval [0.2, 8].

f(3) = 3 + 4/3 = 4.33 , f(0.2) = 0.2 + 4/0.2 = 2.44

, f(8) = 8 + 4/8 = 17/2 = 8.5

Hence, the absolute Maximum value of f on [0.2,8] is 8.5 occuring at x = 8 and absolute minimum value of f on [0.2,8] is 2.44 occuring at x= 0.2 ..

To learn more about Absolute minimum and maximum , refer:

https://brainly.com/question/19921479

#SPJ4

Answer:

7

Step-by-step explanation:

blue raspberry  1/5 of 140 = 28

strawberry 1/4 of 140 = 35

cherry 1/2 0f 140 = 70

added together 28 + 35 + 70 = 133

mystery flavors are 140 - 133 =7

Answer:

904.78

Step-by-step explanation:

I hope this is correct, if it isn't please feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.

The probability that the first child of Clara and Charles will be a boy with hemophilia is 1/4.

It shouldbe noted the dominant and recessive alleles is given as H and h. It should be noted that A and a also represent the tyrosinase alleles.

The father of Clara had hemophilia.

Therefore, the probability that the first child of Clara and Charles will be a boy with hemophilia will be:

= 1/2 × 1/2

= 1/4.

Therefore, the probability is 1/4.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

In humans, hemophilia (OMIM 306700) is an X-linked recessive disorder. The dominant and recessive alleles represented by H and h . Albinism is an autosomal recessive condition . A and a represent the tyrosinase alleles. A healthy woman named Clara (II-2), whose father (I-1) has hemophilia and whose brother (II-1) has albinism, is married to a healthy man named Charles (II-3), whose parents are healthy. Charles's brother (II-5) has hemophilia, and his sister (II-4) has albinism. The pedigree is shown.

Determine the probability that the first child of clara and charles will be a boy with hemophilia.

The only possible dimension for the third side of the triangle is 7 inches, as it is the only option given that satisfies the above conditions.

The properties of the triangle are:

Every side of a triangle must be shorter than the total length of the other two sides. Hence, the third side of the triangle in this instance must be more than the difference between 10 and 4 inches but less than the product of 10 and 4 inches.

The third side must be larger than 6 inches since 10 inches and 4 inches differ by 6 inches.

The third side must be shorter than 14 inches since the total of 10 inches and 4 inches is 14 inches.

Therefore, 7 inches is the only choice presented that meets the aforementioned requirements, it follows that this measurement is the only one that may be used for the third side of the triangle.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ7

Answer:

\(\huge \boxed{a= P-b-c}\)

Step-by-step explanation:

\(P=a+b+c\)

Subtracting b and c from both sides.

\(P-b-c=a+b+c-b-c\)

Simplifying both sides.

\(P-b-c=a\)

P=a+b+c

Subtracting b and c from both sides.

P-b-c=a+b+c-c

Simplifying both sides.

P-b-c=a

\( \huge \bold{answer}\)

Answer:

helllp me plz

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Using this editor, you never want to pick a. The answer requires brackets.

B  is correct

C is not for the same reason A is not.

D is awkward but it is correct.

E is not. The brackets ought to contain 5 + 6

Step-by-step explanation:

There are FOUR queens in a deck of 52 cards

4/52 chance of selecting a queen =  1/13  chance  = .07692 chance

The square root of 12654987 is approximately 3567.824.

Answer:

3557.38485 . \(\sqrt[2]{12654987}\)

Step-by-step explanation:

The number “ 12654987 “ is NOT a perfect square AT ALL

\(\sqrt[2]{12654987}\) =

3557.38485. ( very weird number to ask… )

Answer:

165

Step-by-step explanation:

we solve this by sum over the possible symmetry groups of the colorings.

1.If the board has 90 degree rotational symmetry, then all four squares are the same color. There are 5 such boards.

2. If the board has 180 degree rotational symmetry (but not 90 degree), then it has to be a 2-color checkerboard pattern. There are ⁵c₂=10 such boards.

All the remaining boards have no rotational symmetry. We can count these boards by taking all possible colorings, subtracting the ones counted above, and dividing by four (since each of these boards corresponds to four colorings). The result is (54−2×10−5)÷4=600÷4=150.

so, total number of boards= 5+10+150= 165.

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

To learn more about volume visit:

https://brainly.com/question/463363

#SPJ4

The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or the alpha error.

The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or alpha error.

It refers to the probability of rejecting a true null hypothesis (in this case, the process is in control) when it should not be rejected. In other words, it is the probability of concluding that there is a problem with the process when there is actually no problem, and the observed value is simply a result of random variation.

This means that the value appears to be abnormal, but it is actually just a result of the natural variation in the process. It is important to minimize the risk of Type I errors to ensure that only truly abnormal values are addressed and corrected.

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11

Answer:

1/4

Step-by-step explanation:

A percentage is over 100, so we can express 25% as 25/100, which simplifies to 1/4.

The Economic Order Quantity (EOQ) is calculated to be 547.72 units. The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.

The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00. These calculations provide valuable insights for efficient inventory management.

The Economic Order Quantity (EOQ) can be calculated by using the formula: EOQ = √2DS / H,

where D = Total Demand = 3200 units,

S = Ordering cost per order = R150,

and H = Annual holding cost per unit = R5.

Therefore, EOQ = √ (2 x 3200 x 150) / 5 = 547.72 units.

4.2 Number of orders placed per year: No of orders per year = D / Q,

where D = Total Demand = 3200 units and Q = EOQ = 547.72 units.

Therefore, No of orders per year = D / Q = 3200 / 547.72 = 5.84 orders.

4.4 Total holding cost of lawnmowers:

Total holding cost of lawnmowers = (Average inventory level) x (Annual holding cost per unit),

where (Average inventory level) = EOQ / 2 = 547.72 / 2 = 273.86 units and Annual holding cost per unit = R5.

Thus, the Total holding cost of lawnmowers = 273.86 x R5 = R1369.30.

4.1 Reorder Point (ROP): ROP can be calculated by using the formula:

ROP = dL, where d = Daily demand = D / Number of working days

= 3200 / 300 = 10.67 and L = Lead time = 3 days.

Hence, ROP = dL = 10.67 x 3 = 32.01.

4.5 Total ordering cost of lawnmowers:

Total ordering cost of lawnmowers = (Number of orders placed per year) x (Ordering cost per order),

where (Number of orders placed per year) = 5.84 orders and Ordering cost per order = R150.

Therefore, the Total ordering cost of lawnmowers = 5.84 x R150 = R876.00.

The Economic Order Quantity (EOQ) is calculated to be 547.72 units.

The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.

The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00.

These calculations provide valuable insights for efficient inventory management.

To know more about  Economic Order Quantity, visits:

https://brainly.com/question/31694034

#SPJ11

Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

The equation of the line passing through the points (7,4) and (−5,4) in point slope form is y - 4 = 0

The equation of a line can be represented in point slope form as follows;

y - y₁ = m(x - x₁)

where

Therefore, let's find the equation of a line passing through the points (7, 4) and (-5, 4).

Let's find the slope of the line. The slope of the line is the change in the dependent variable with respect tot he change in the independent variable.

Hence,

m = 4 - 4 / -5  - 7

m = 0  / 12

m = 0

Therefore, using (7, 4) the equation in point slope form is as follows;

y - 4 = 0(x - 7)

y - 4 = 0

learn more on equation of a line here: brainly.com/question/28774054

#SPJ1

9514 1404 393

Answer:

  A √2 is an irrational number

Step-by-step explanation:

A: √2 ≈ 1.4142135623730950488... an infinite non-repeating decimal (irrational)

B: √4 = 2 (rational)

C: ∛8 = 2 (rational)

D: √16 = 4 (rational)

Answer: To find the rotation in revolutions per minute (RPM) given the angular speed and the radius, we can use the formula:

RPM = (Angular Speed (rad/s)) / (2 * pi)

To find the RPM, we first need to convert the linear speed to angular speed. We can do this by using the formula:

Angular Speed (rad/s) = Linear Speed (m/s) / Radius (m)

Angular Speed = 82.3 m/s / 0.131 m = 630 rad/s

RPM = (630 rad/s) / (2 * pi) = 131 rev/min

To find the RPM, we first need to convert the linear speed to angular speed. We can do this by using the formula:

Angular Speed (rad/s) = Linear Speed (ft/min) / (Radius (ft) * 12)

Angular Speed = 144.2 ft/min / (10.9 ft * 12) = 10.9 rad/s

RPM = (10.9 rad/s) / (2 * pi) = 10.9 rev/min

To find the RPM, we first need to convert the linear speed to angular speed. We can do this by using the formula:

Angular Speed (rad/s) = Linear Speed (in/h) / (Radius (in) * 3600)

Angular Speed = 553 in/h / (553 in * 3600) = 0.09 rad/s

RPM = (0.09 rad/s) / (2 * pi) = 0.09 rev/min

Step-by-step explanation:

Answer:

1.48502 × 10²

Step-by-step explanation:

A number expressed in standard form is

a × \(10^{n}\) ( 1 ≤ a < 10 and n is an integer )

Given

148.502 ← express as a number between 1 and 10

1.48502

To obtain the original number we require to multiply by 100 , that is 10²

Thus

148.502 = 1.48502 × 10²

Answer:

\(1.48502 \times {10}^{2} \)

Step-by-step explanation:

To convert to standard form, move the decimal point until there is one digit to the left of the decimal point.

Since the decimal point moves to the left, the exponent value goes up. If the decimal point moves to the right, the exponent value gpes down.

In this case, since the decimal point moves to the left twice, then the exponent goes up by 2.

Hope this helps!

Answer: the graph is decreasing everywhere

The expression is 8n – 3; The 100th term is 797

The nth term of an arithmetic sequence is given by:

an=a1+(100-1)d          ....[1]

where

a1  is the first term

d is the common difference of two consecutive terms.

n is the number of terms.

Given the sequence:

5, 13, 21, 29, 37, 45, …

This is an arithmetic sequence with first term  = 5 and common difference(d) = 8

Since;

13-5 = 8,

21-13 = 8,

29-21 = 8  and so on....

We have to find the 100th term in the sequence

Substitute in [1] we have;

an=a1+(100-1)d

an=5+(n-1)8=5+8n-8 = 8n-3

Substitute the given values and n=100 we have;

a100= 800 - 3 = 797

Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;

To learn more about arithmetic sequence refer to :

https://brainly.com/question/6561461

#SPJ4