Is 5 a factor of 6w + 30?
yes
no

HELP PLSS HELP

Answer:

Step-by-step explanation:

this is a cuboid

Volume = Length × Width × Height.

4 * 3 * 3 = 36 cubic units

Answer:

Gwen's ACT score is 1.2 standard deviations above the mean

if i'm wrong i'm rlly rlly sorry!!

Answer:

The answer is B :

The inverse square law is given below.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Inverse square law states that the intensity of the radiation is inversely proportional to the square of the distance.

If intensity = I and distance = x

Then

I ∝ 1/x²

Thus,

The inverse square law is given above.

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a) The Probability density function of given uniform distribution example is

F(x) = 1/3.5 for 8.5 < x< 12

Uniform distribution in Statistics is a type of probability distribution in which all possible outcomes have equally likely chance to occur. It is generally represented by U(x,y) where

x ---> minimum value and y---> maximum value

Probability density function is a probability function which defines the density of continuous random variable lying between specified range

values. It is denoted by f( a<X<b)

Probability density function for uniform distribution is F(x) = 1/(b-a) for a<x<b where a and b are parameters of uniform distribution.

We have following informations,

weigh of mini iPad = 11 ounces or 50% lighter than standard iPad.

Assume that the battery of iPad is uniformly distributed between 8.5 hours to 12 hours.

this implies a = 8.5 , b = 12

F(x) = 1/(12 - 8.5) = 1/3.5 for 8.5<x<12

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#Complete Qestion :

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the mini ipad showed that battery life is uniformly distributed between 8.5 and 12 hours. what is the value of 'a'? answer to one decimal. Assume that the battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a) What is the probability that the battery life for an iPad Mini will be 10 hours or less?

Answer:

22/5 (or) 4.4

Step-by-step explanation:

22/7 × 1.4

=22/7 × 1.4/1 <-- to change the decimal into a fraction multiply it with ×10 so the numerator 1.4 will become 14 and the denominator 1 will be 10

=22/7 × 14/10 <-- now you can cancel out as usual

=22/5 (or) 4.4

Answer:

coefficients: 1, 4

like terms 13, -5 and 1x, 4x

constant: 13, 5

Answer:

Step-by-step explanation:

The relation between intercepted arcs and angles at crossing chords can be used to find the angles of interest. That relation tells you the angle where the chords cross is half the sum of the intercepted arcs.

The arcs intercepted by the chords making angle 1 are given as 53° and 47°. Half their sum is the measure of angle 1:

  ∠1 = (53° +47°)/2 = 100°/2

  ∠1 = 50°

Angles 1 and 2 form a linear pair, so angle 2 is the supplement of angle 1.

  ∠2 = 180° -∠1 = 180° -50°

  ∠2 = 130°

Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.

The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.

By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:

m∠1 = ½(53 + 47)

m∠1 = ½(100)

m∠1 = 50°.

Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:

m∠1 + m∠2 = 180°

m∠2 = 180 - m∠1

m∠2 = 180 - 50

m∠2 = 130°.

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Answer:

\(\frac{10}{21}\)

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

\(\frac{3(3)}{14(3)}\) + \(\frac{2(2)}{21(2)}\) + \(\frac{1(7)}{6(7)}\)

= \(\frac{9}{42}\) + \(\frac{4}{42}\) + \(\frac{7}{42}\) ← add the numerators, leaving the denominator

= \(\frac{9+4+7}{42}\)

= \(\frac{20}{42}\) ← divide both values by 2

= \(\frac{10}{21}\) ← in simplest form

Answer: 56 on average

Step-by-step explanation:

30 + 45 + 50 + 75 + 80 = 280

divide by amount of numbers (5)

280 / 5 = 56

Answer:

41 ft² is the answer thank you

Answer:

the answer is 53 ft

Step-by-step explanation:

fist take the 3*3 square = 9

then the 4*11= 44(11 because I ssume the 8 ft does not account for the 3ft of the box)(if it is 8 ft then the answer is 41 ft^2 overall)

44+9= 53

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

The constant of variation is 62.5 and this means that the bus travel 62.5 miles per hour.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

The given relation is,

⇒ y = 62.5x

Where, y represent distance in mile and x represent the time in hour.

We know that;

The proportional relation is defined as;

⇒ y = kx

Where, k is constant of variation.

Hence, By comparing,

The constant of variation is 62.5 and this means that the bus travel 62.5 miles per hour.

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To sketch the region enclosed by the given curves, we can start by plotting the two curves:

Curve 1: x = 20 - 5y^2

Curve 2: x = 5y^2 - 20

Let's first analyze the curves and determine the orientation of the region. From the equations, we can see that both curves are symmetrical about the y-axis. The curve 1 is a downward-opening parabola, and curve 2 is an upward-opening parabola.

To find the area of the region, we need to determine the limits of integration. Since the curves are symmetrical, we can integrate with respect to y over the interval where y varies from the bottom curve to the top curve.

To find the intersection points of the curves, we can set the two equations equal to each other:

20 - 5y^2 = 5y^2 - 20

Rearranging the equation, we get:

10y^2 = 40

y^2 = 4

y = ±2

So the intersection points are (2, 2) and (-2, -2).

Now, let's sketch the region:

-2 |_______

| /

| /

| /

|/__________

|___________| 2

The region is bounded by the curves and the y-axis.

To find the area of the region, we can integrate with respect to y:

A = ∫[from -2 to 2] [(curve 1) - (curve 2)] dy

A = ∫[-2 to 2] [(20 - 5y^2) - (5y^2 - 20)] dy

Simplifying the expression:

A = ∫[-2 to 2] (40 - 10y^2) dy

Now, we can integrate:

A = [40y - (10/3)y^3] |[-2 to 2]

Evaluating the expression:

A = [(40(2) - (10/3)(2)^3) - (40(-2) - (10/3)(-2)^3)]

A = [(80 - (80/3)) - (-80 - (80/3))]

A = (80 - 80/3) - (-80 - 80/3)

A = (240/3 - 80/3) + (240/3 + 80/3)

A = (160/3) + (320/3)

A = 480/3

A = 160

Therefore, the area of the region enclosed by the given curves is 160 square units.

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By 7/18 fraction of the pizza's weight is the pizza dough.

A fraction in mathematics represents a portion or element of the whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator. The numerator indicates the number of equal parts that were actually taken, whereas the denominator shows the total number of equal parts in the whole.

total weight of pizza = 54 ounces

weight of pizza dough = 21 ounces

fraction of the pizza's weight the pizza dough is = 21/54 = 7/18

therefore, by 7/18 fraction of the pizza's weight is the pizza dough

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Answer:

3^2+4^2=5^2

Step-by-step explanation:

shown in the answer

Answer:

x = \(\sqrt{26}\)

Step-by-step explanation:

using pythagoras theorem

here \(\sqrt{13}\) and \(\sqrt{13}\) are the legs of the right angled triangle and x is hypotenuse.

a^2 + b^2 = c^2

\((\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2\)

13 + 13 = x^2

26 = x^2

\(\sqrt{26}\) = x

Answer:

answer would be c

Step-by-step explanation:

hope this helps

Answer:

(-41, 30)

Step-by-step explanation:

The midpoint of a segment lies on the segment.

x: (-88 + 6)/2 = -41

y: (61 + (-1)) = 30

Answer: (-41, 30)

Answer:

B

Step-by-step explanation:

Answer:

x = 137

Step-by-step explanation:

To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.

(7x + 78) - (6x + 73) = 142

Hannah - Sam = Difference

We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:

7x + 78 - 6x - 73 = 142

Then put like terms together

7x - 6x + 78 - 73 = 142

7x - 6x = x

78-73 = 5

x + 5 = 142

Then isolate the x by subtracting the 5.

x + 5 (-5)= 142 (-5)

x = 137

Then plug it back into the equation to check and see if your x is correct

(7x + 78) - (6x + 73) = 142

(7(137) + 78) - (6(137) + 73) = 142

(959 + 78) - (822 + 73) = 142

(1037) - (895) = 142

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The value of x is 137.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Hannah has created: 7x+78 lines of code

Sam has written: 6x + 73 lines of code.

Now, Hannah has written 142 more lines of code then sam.

So, Hannah - Sam = Difference

(7x + 78) - (6x + 73) = 142

7x + 78 - 6x - 73 = 142

7x - 6x + 78 - 73 = 142

x + 5 = 142

x = 142 (-5)

x = 137

Hence, the value of x is 137.

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Answer:

3/2 or 1.5

Step-by-step explanation:

1) Convert 2 1/6 into improper fraction

2) Find the LCM which is 6

3) Subtract like a normal fraction

Answer:

Step-by-step explanation:

Answer: 3/18

I hope this helps! :)

The fractional probability of rolling the same number all 3 times is 1/216.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given a six sided die.

Probability of getting any number on the die = 1/6

Probability of getting a number 1 time = 1/6

Probability of getting the same number second time also = 1/6 × 1/6 = 1/36

Probability getting the same number third time also = 1/6 × 1/6 × 1/6 = 1/216

Hence the required probability is 1/216.

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only Outcome D is a Pareto efficient outcome. In this given scenario, "A and D" are Pareto efficient outcomes.What is Pareto efficiency? Pareto efficiency is a state of allocation of resources in which it is impossible to make any one individual better off without making at least one individual worse off.

What are the given allocations and benefits of individuals? The net benefit for each individual in each allocation is given below: (The two numbers in each of the following brackets indicate the net benefits for individual 1 and individual 2, respectively.) Outcome A: (10, 25) Outcome B: (20, 10) Outcome C: (14, 20)Outcome D: (15, 15) Which of the outcomes are Pareto efficient?

Now, let's see which of the given outcomes are Pareto efficient: Outcome A: If we take Outcome A, then individual 1 gets 10 and individual 2 gets 25 as their net benefits. But the allocation isn't Pareto efficient because if we take Outcome B, then individual 1 gets 20 which is greater than 10 as his net benefit, and the net benefit for individual 2 would become 10 which is still greater than 25. Therefore, Outcome A isn't Pareto efficient. Outcome B: If we take Outcome B, then individual 1 gets 20 and individual 2 gets 10 as their net benefits.

But the allocation isn't Pareto efficient because if we take Outcome C, then individual 1 gets 14 which is less than 20 as his net benefit, and the net benefit for individual 2 would become 20 which is greater than 10. Therefore, Outcome B isn't Pareto efficient.Outcome C: If we take Outcome C, then individual 1 gets 14 and individual 2 gets 20 as their net benefits. But the allocation isn't Pareto efficient because if we take Outcome A, then individual 1 gets 10 which is less than 14 as his net benefit, and the net benefit for individual 2 would become 25 which is greater than 20. Therefore, Outcome C isn't Pareto efficient.

Outcome D: If we take Outcome D, then individual 1 gets 15 and individual 2 gets 15 as their net benefits. The allocation is Pareto efficient because there is no other allocation where one individual will be better off without harming the other individual.Therefore, only Outcome D is a Pareto efficient outcome.

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Answer:

She would have $33 left.

Step-by-step explanation:

First input the $2.50 into the "d" variable and multiply 6 by 2.50.

48−(6)(2.5)

Then, subtract 48 by 15.

48−15

Finally, you have your answer.

33

Answer:

Circumference = 2*pi*r

Diameter = 6 cm

Radius = 3 cm

Circumference = 2*22/7*3

= 18.85 cm.....

Step-by-step explanation:

Hope this helps you....

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The concave mirror should be placed at a distance of 2r from the wall to form a real image of the object on the wall. The magnification of the image is expressed using three significant figures is -0.500.

if the object is placed at a distance r in front of a concave mirror whose radius of curvature is also r, then the image is formed at the same distance r behind the mirror. This is a special case called the "center of curvature" configuration.

To form a real image on the wall, the mirror must be placed such that the object is beyond the mirror's focal point. The focal length of the mirror is half of its radius of curvature, so the focal length is f = r/2.

If the object is placed at a distance x from the mirror, then using the mirror equation:

1/f = 1/do + 1/di

where do is the distance of the object from the mirror and di is the distance of the image from the mirror. In this case, do = x and di = r, so we get:

1/r = 1/x - 1/f

Substituting f = r/2, we get:

1/r = 1/x - 2/r

Solving for x, we get:

x = 2r

Therefore, the mirror should be placed at a distance of 2r from the object to form a real image on the wall.

To find the magnification of the image, we use the magnification equation:

m = -di/do

where m is the magnification, di is the distance of the image from the mirror, and do is the distance of the object from the mirror. In this case, do = x = 2r and di = r, so we get:

m = -r/(2r) = -1/2

Therefore, the magnification of the image is -0.500.

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Answer:

3.78%

Step-by-step explanation:

The formula for compound interest is given by:

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

Thus, we can plug in 8500 for P, 11022 for A(t), 1 for n, and 7 for t to find r:

Step 1:  Plug in the values and simplify:

11022 = 8500 * ( 1 + r/1)^(7 * 1)

11022 = 8500 * (1 + r)^(7)

Step 2:  Divide both sides by 8500:

(11022 = 8500 * (1 + r)^(7)) / 8500

11022/8500 = (1 + r)^(7)

5511/4250 = (1 + r)^(7)

Step 3:  Raise both sides to the 1/7 power (this is the same as taking the 7th root of both sides):

(5511/4250 = (1 + r)^(7))^(1/7)

1.037815641 = 1 + r

Step 4:  Subtract 1 from both sides to find r:

(1.037815641 = 1 + r) - 1

0.0378154607 = r

Step 5:  Multiply 0.0378154607 by 100 to find the interest rate as a percentage:

0.0378154607 * 100

3.78156407 = %

Step 6:  Round to the nearest two decimal places:

3.78

Thus, the interest rate is about 3.78%

The pool workers can conclude that there is not a statistically significant difference between the expected and observed results.

The chi-square value is 1.3892 and the p-value is 0.7081 The p-value of 0.7081 is greater than the 5% significance level, meaning that the null hypothesis can not be rejected.

This means that the difference between the expected and observed results is not statistically significant, and the observed results are likely due to random chance. This means that there is not a significant difference in the observed results from the expected results, and the null hypothesis is accepted.

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