4(x+5)-x+3 simplified

Answer:

Step-by-step explanation:

You take items out of a square root if you have a pair of numbers or if you know the square root.  

\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)

So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3

Now for the b's for every pair there are, you can take that out.  There are 3 pairs of b's so b³ is outside and one b is left inside.

Answer:

4b³\(\sqrt{3b}\)

Answer:

=−44.248595

Step-by-step explanation:

Evaluate for x=55,y=4

−3√55−6−42

−3√55−6−42

Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.

To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:

Help Center to Water Slide #1:

Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)

Toddler area to Concessions:

Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)

Gift Shop to Restrooms:

Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)

Security desk to Water Slide #2:

Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)

Lazy River to Large Whirlpool:

Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5

Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)

Presently, let's calculate the linear equations for each case:

Help Center to Water Slide #1:

The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.

Toddler area to Concessions:

The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:

-7.5 = (-1/3)(1.5) + b

-7.5 = -0.5 + b

b = -7

Gift Shop to Restrooms:

The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.

Security desk to Water Slide #2:

The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.

Lazy River to Large Whirlpool:

The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:

12 = (2/5)(-2) + b

12 = -4/5 + b

b = 61/5

The Linear equations for each case are as follows:

Help Center to Water Slide #1: y = 3

Toddler area to Concessions: y = (-1/3)x - 7

Gift Shop to Restrooms: y = -9

Security desk to Water Slide #2: y = 4

Lazy River to Large Whirlpool: y = (2/5)x + 61/5

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Answer:

4 feet and 9 inches

Step-by-step explanation:

First, we shall convert 9 feet and 6 inches into just inches.

9 x 12 = 108

108 + 6 = 114 inches.

114 divided by 2 = 57 inches.

Then, we divide 57 by 12:

57 divided by 12 = 4.75.

So, we have 4 feet.

0.75 x 12 = 9 inches.

In conclusion, we have 4 feet and 9 inches.

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Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

The attached graph represents the graph of the constraints

The constraints are given as:

7x+11y≤ 1540

x+3y ≤ 360

x+y≤ 200

x ≥ 0, y ≥ 0

Next, we plot the graph of the constraints using a graphing calculator

From the graph (see attachment), we have the coordinates of the feasible region to be (66, 98), (120,80) and (165,35)

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As given by the question

There are given that the system of the equation:

Now,

Put the value of y from equation (2), into equation (1):

So,

Now,

Put the value of x into the equation (2):

So, the value of x and y is shown below:

Hence, the correct option is A.

Answer:

It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.

Step-by-step explanation:

Answer:

There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.

Step-by-step explanation:

I just took the test, The other person is very wrong!!!

Answer:

I don't quite understand what you're asking, but the first number is on the axis that goes left or right, which in that case it will all be to the right.

Step-by-step explanation:

For the first one you'd go 4 blocks to the right and 4 blocks up, creating a perfect square. For the second one, you'd go 8 to the right and 4 blocks up. 4 to the right, but with the 7 it goes down.

For the pen, you might need to add a picture so that I can see it.

This might have not answered it, but if you can comment on this and specify, I might be able to answer better.

Answer:

Step-by-step explanation:

radius = 16/2 = 8

Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter

For the distance and time data , the true statement to represent the speed is given by :

a. A graph formed by given distance and time represents Kassie’s speed would have a slope of 1.22.

Let the time on the graph of distance and time graph is 't'

Distance of the graph is 'd'

Speed = Distance / time

Let us consider two coordinates of distance and time on graph be :

( t₁ , d₁ ) = ( 3, 3.72 )

( t₂ , d₂) = ( 12, 14.88)

Speed is represented by the slope of distance and time

Speed = ( d₂ - d₁ ) / ( t₂ - t₁ )

           = ( 14.88 - 3.72 )/ ( 12 - 3 )

           = 11.16 / 9

           = 1.24 m/s  ___(1)

Equation of Kassie swims is d = 1.22t

It implies d/t = 1.22 ___(2)

From (1) and (2) we have :

Kassie speed represents the slope 1.22m/s.

Therefore, the true statement is option a. Kassie speed representing the slope equals to 1.22m/s.

The above question is incomplete , the complete question is:

Kassie and Luke timed each other during swim practice. The speed

at which Kassie swims is represented by the equation = 1.22,

where d is the number of meters she swims in t seconds. The speed

at which Luke swims is represented in the table.

                    Luke's speed

Time in seconds (t)    :   3                       6                     9                   12

Distance in meter (d) :   3.72                 7.44                11.66              14.88

Which of the following statements are true?

a. A graph of Kassie’s speed would have a slope of 1.22.

b. Luke’s rate of speed is 1.86 meters per second.

c. A graph of Luke’s speed would go through (0,0) and (1,24).

d. Kassie’s rate of speed is 0.02 meters per second slower than Luke’s rate of speed.

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The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.

The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled.

Arrows pointing from the selected cell to cells that depend on the selected cell are generated by using the Trace dependents button of the Formula Auditing group.

nodes in an influence diagram represent part of the model

The Trace Precedents button, located in the Formula Auditing group, creates arrows pointing to the selected cell from cells that are part of the formula in that cell

The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.

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Answer:

15

Step-by-step explanation:

Multiply: 25x.60=15

The reason why you multiply 25 times .60 is because you need to change the percentage to a decimal. The way you change you from a percentage to a decimal is by moving the decimal twice to the left.

So, 60%=.60

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Using compound interest formula, the final payment for a principal of $12000 compounded continuously at rate of 5% is $13,097.31

Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula of compound interest is given as;

A = P(1 + r/n)^nt

Substituting the values into the formula

A = Pe^rt

This formula is only for continuously compounded

A = 12000e^(0.05 * 1.75)

A = $13,097.31

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Answer:

2.8

Step-by-step explanation:

We can rewrite the equation of the line as x+y-4=0.

So, the distance is

\(\frac{|(1)(4)+(1)(-4)-4|}{\sqrt{1^2+1^2}} \approx 2.8\)

Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

What is measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and

170 when measured in a different unit.

We have to find the correct units from grams and ounces for these.

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

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The possible pair of null and alternative hypotheses for this experiment is   "The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.

The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases."

Hypotheses

Hypotheses refers the testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Given,

A group of elementary school students designed a study to find a possible relationship between the number of students absent from school and the overall rate of flu infections in their town.

Here we need to find the correct pairing of possible null and alternative hypotheses for this experiment.

Here the given situation is relationship between  the number of students absent from school and the overall rate of flu infections in their town.

So, the null hypotheses of this relation is flu infection rate has no impact on the number of students absent from school

And the alternative hypotheses of the relation is defines that the flu infection rate increases, the number of students absent from school also increases.

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Answer:

Step-by-step explanation:

The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.

The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases.

Answer: yes

Step-by-step explanation:

(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

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Answer:

When rotating a rectangle 270° counter clockwise, you change the vertices in this way: (x,y) ---> (y,-x).

In other words, the "x" and "y" values switch, and the "x" becomes negative. If the "x" value is already negative, it becomes positive.

E' = (-8,6)   ---->   (6,8)

F' = (-8, 10)   ---->   (10,8)

G' = (-3, 10)   ---->   (10,3)

H' = (-3, 6)   ---->   (6,3)

Answer:

You are 6

Step-by-step explanation:

8×6=48 and 6/3=2

6 is even and fits in all of these areas.

Hope this helps.

Mark brainliest if correct.

P = 0.0181 , The probability is very low but not negligible.

What is probability ?

The likelihood that something will occur is the foundation of it. The logic underpinning probability serves as the basic foundation for theoretical probability.

          The theoretical likelihood of receiving a head, for instance, is 12 when a coin is tossed.

there are (52,3) ways to pick 3 cards out of 52 cards. Also, there are (4,3) ways to pick 3 kings out of the 4 total available kings in the deck.  In essence, we need to have one of those ways to be the selected 3 cards. Hence, the probability is the ration (4,3)/(52,3). Computing this

=      \(\frac{\frac{1 *2*3 * 4}{(1 *2 * 3)* 1} }{\frac{52 * 51 * 50}{1 * 2 * 3} }\)

P = \(\frac{4 * 1 * 2 * 3}{52 * 51 * 50}\)

P = 0.0181

The probability is very low but not negligible.

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Answer:

(1, 1)

Step-by-step explanation:

not 100% sure though, but hope it helps

Answer and Step-by-step explanation:

Let

P = this computer program has a logical error in the first ten lines.

q = it is being run with an incomplete data set.

Not p = ¬p

P or q = p ∨ q

P and q = p ∧ q

If p then q = p → q

P if and only if q = p ↔ q

a)  Computer program does not have a logical error in the first ten lines or is not being run with an incomplete data set.

     ¬p ∨ ¬q

b)  Computer program has a logical error in the first ten lines, or it is not being run with an incomplete data set

p v ¬q

c) Computer program does not have a logical error in the first ten lines, and it is not being run with an incomplete data set

¬p v ¬q

d)  Computer program has a logical error in the first ten lines, and it is not being run with an incomplete data set.

P v ¬q

e)  Computer program does not have a logical error in the first ten lines, and it is being run with an incomplete data set

¬p v q

Considering the scatter plot, the function that best fits the data is given by:

f(x) = 3x².

To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).

We have that:

Hence the function that best fits the data is given by:

f(x) = 3x².

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Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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Answer:

784

Step-by-step explanation:

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P.S

other person is wrong

Answer: 30%

Step-by-step explanation: 21/70 = 21 divide 70 = 0.3 = 30%