Maria has books that she wants to arrange in piles. The books have different thicknesses. This line plot shows the thickness of each book. She piles the four thinnest books on top of each other.


How thick is the pile?


Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer:

es 132°

Step-by-step explanation:

KL ≅ ML, entonces triángulo KNL y NLM son similares ah Angle side Angle Theorom .

Entonces,{LNK ≅ LNM}

7x+7=8x-3 8x-7=7+3,x=10

13x+2=13*10+2=130+2=132°

La respuesta es 132°

Based on the relationship of the intercepted arcs of congruent chords, the measure of arc JM is: C. 132°.

If two chords are congruent, then the corresponding arcs bounded by the chords will have equal measure too.

Thus, KL = LM, therefore:

7x + 7 = 8x - 3

Solve for x

7x - 8x = -7 - 3

-x = -10

x = 10

Arc JM = 13x + 2

Plug in the value of x

Arc JM = 13(10) + 2

Arc JM = 132°

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Answer:

12

Step-by-step explanation:

The ratio of cars to trucks to motorcycles is $4:3:2.

If there are $42$ cars and trucks total,

To get how many motorcycles are there

Sum up the ratio of cars and trucks 4:3= 4+3 = 7

Sum up the ratio of cars and trucks and motorcycles

4+3+2 =9

Let the total number of cars and trucks and motorcycles be represented as A

The total number of cars and trucks in the question is 42

(7/9) x A = 42

7A/9 = 42

cross multiply

7A = 42×9 = 378

A= 378/7 = 54

The total number of cars and trucks and motorcycles is 54

To get the number of motorcycles can be calculated through

a. The total number of cars and trucks and motorcycles subtracted by the number of cars and trucks = 54-42=12 or use the ratio which is

2/9 × 54 = 2×6=12

Answer:

A = 70 and N=30

Step-by-step explanation:

Total - 100 cards

American League = A

National League = N

A = 2N + 10 and A+N = 100

100-10 = 90

90/3 = 30

A = 2(30) + 10 = 70

A = 70 and N=30

Answer:

A. x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

Let's move all the terms to one side:

[tex]x^2=5x+2[/tex]

[tex]x^2-5x-2=0[/tex]

Now, we want to use the quadratic formula, which states that for a quadratic equation of the form [tex]ax^2+bx+c=0[/tex], the roots can be found with the equation: [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].

Here, a = 1, b = -5, and c = -2, so plug these in:

[tex]x=\frac{-(-5)+\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5+\sqrt{25+8} }{2}=\frac{5+\sqrt{33} }{2}[/tex]

OR

[tex]x=\frac{-(-5)-\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5-\sqrt{25+8} }{2}=\frac{5-\sqrt{33} }{2}[/tex]

Thus, the answer is A.

Hope this helps!

Answer:

First one:

x = x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

x² = 5x + 2

x² - 5x - 2 = 0

Using quadratic formula:

x = [-(-5) +/- sqrt[(-5)² - 4(1)(-2)]/2(1)

x = [5 +/- sqrt(33)]/2

Answer:

the length between them is 4

Step-by-step explanation:

from Q - T

both are at -9 so its a straight line.

the difference between -2 and 2 is 4

-2 , -1, 0, 1, 2,

Answer:

4

Step-by-step explanation:

Q and T are on the same line.

-9 is the x value for both points.

All you are left with is the distance between -2 and 2.

Subtract and take absolute value if you come up with a negative answer.

2 - -2 = 4

Answer:

A) [tex]log_{5}(12)[/tex]

B) [tex]log_{8}(9)[/tex]

C) [tex]log_{9}(25)[/tex]

Step-by-step explanation:

Hello! I am going to walk you through how some simple rules regarding logs!

For A, we will use the 'AM' rule! When adding logs of the same base (in this case 5), you multiply the two answers (3 and 4)!

3 · 4 = 12, giving us [tex]log_{5}(12)[/tex]!

For B, we will use the 'SD' rule! When subtracting logs of the same base (in this case 8), you divide the two answers (9 and 5)!

9/5 = [tex]\frac{x}{5}[/tex] ; simplify! (9/5) x 5 = 9, giving us [tex]log_{8}(9)[/tex]!

For C, we will use the 'MS' rule! When multiplying a number times a logarithm, you can get the same argument by removing the coefficient (2) and squaring the log's answer (5)!

[tex]5^{2} = 25[/tex], giving us [tex]log_{9}(25)[/tex]!

I hope that this helps!

The argument discrediting Todd Burpo uses an ad hominem fallacy and a fallacy of weak induction called circumstantial ad hominem, focusing on Burpo's potential financial gain instead of the validity of his claims.

The argument presented commits a couple of logical fallacies.

Firstly, it commits the ad hominem fallacy, which is a type of fallacy of relevance.

This fallacy occurs when the arguer attacks the person making the argument instead of the argument itself.

In this case, discrediting Todd Burpo because he has a financial motivation does not address the actual content of his claims about heaven.

Secondly, there's a fallacy of weak induction known as circumstantial ad hominem.

Here, the suggestion is that Burpo’s circumstances (wanting to sell books), rather than evidence, make his claims unworthy of consideration, which is an insufficient basis to deny the merits of his arguments.

While the argument does not prove the existence of a supernatural deity, dismissing it because of the author's potential financial gain uses inappropriate grounds that do not speak to the truth or falsity of the actual claim, thus making it an invalid critique.

The burden of proof demands that a claim be established through reason and evidence, and this fallacy does not appropriately engage with either.

Answer:4

Step-by-step explanation:1+1 is 2 and 2x2 is 4

Answer:

2.) P(Chocolate, sprinkles)

Step-by-step explanation:

A lot of people choose chocolate ice cream over other flavors, and a lot of people also like sprinkles on their ice cream.

Answer:

True for all values of x

The given equation 6x − 4 = -4 + 6x, is true for all values of x.

so, we get, each equation is true for all values of x.

Here, we have,

The equation 6x - 4 = -4 + 6x can be simplified as follows:

Subtracting 6x from both sides, we get:

-4 = -4

This equation states that -4 is equal to -4,

which is true for all values of x.

The equation holds true regardless of the value of x.

Therefore, the given equation is true for all values of x.

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Answer: 3 /2 x^3y^3z

Answer:

Simplified, it equals (3x^3*y^3*z)/2

Step-by-step explanation:

Answer:

$7.5 is the ROI on each sweatshirt

Step-by-step explanation:

In this question, we are asked to calculate ROI for a businessman who sells sweatshirts.

To calculate the profit we need to subtract the total cost incurred form manufacture to delivery and subtract bogus from the cost at which he sells the shirts.

Mathematically let’s calculate the cost from production to delivery.

That would be ;

$15 + $3 + $0.5 = $18.5

sales price is $26

His ROI will be $26 - $18.5 = $7.5

Answer:

google 72 percent of 138$ boom asnwer

Step-by-step explanation:

Best Buy would sell the 26" LED TV, which they bought from SONY for $138 each, at $237.36 in the store after adding a 72% mark-up.

The question is asking how much a 26" LED TV, bought by Best Buy from SONY for $138 each, would cost in the store if Best Buy charges 72% more than this. We can solve this problem using basic multiplication and addition.

So, this 26" LED TV from SONY would cost $237.36 in Best Buy's store.

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Answer:the answer is 3 years or b

Step-by-step explanation:

I got it correct on ed 2021!

Answer:

A part of a whole expressed in hundredths is a percent.

Answer:

4

Step-by-step explanation:

The 4 youngest, the 4 oldest, the 4 shortest, the 4 tallest. Hope this helps.

Answer:

6

Step-by-step explanation:

Answer:

1 This study is best described as an experiment.

5 The response variable is the average yield for each group of 10 plots.

Step-by-step explanation:

1) This study is best described as an experiment.

This is true. This experiment indicates that study of the crops with or without fertilizers

2) The response variable is whether the corn plants had fertilizer X or not.

No the response variable is the yield

3) The explanatory variable is whether the corn plants had fertilizer X or not.

Sort of The explanatory variable is the fertilizer the levels would be whether or not it had the fertilizer

4) This is best described as an observational study.

No because they had an influence of using a particular fertilizer and a particular plot of land

5) The response variable is the average yield for each group of 10 plots.

Here we are using the fertilizers in order to increasing the yield of the crops So it clearly shows that  growth of the  corn hybrid depends upon the fertilizers(dependent or response variable)

6) The explanatory variable is the average yield for each group of 10 plots.

No the explanatory variable is the fertilizer

Answer:

11/2

Step-by-step explanation:

[tex] \frac{ {x}^{2} + {y}^{3} }{2 + x} \\ [/tex]

when,

[tex]x = 6 \\ y = 2[/tex]

Now substitute the value we get,

[tex] \frac{ {6}^{2} + {2}^{3} }{2 + 6} \\ \\ = \frac{36 + 8}{8} \\ \\ = \frac{44}{8} \\ \\ = \frac{11}{2} [/tex]

Answer:

10/3

Step-by-step explanation:

2/3 x 5 is really

2     x    5

3            1

when you multiply them separately  you will get 10 as your numerator and 3 as your denominator.

hope this helps!

Answer: 2.4 pounds of the type of nut that sells for $3.00/lb and 4.8 pounds of the type of nut that sells for $5.40/lb would be needed.

Step-by-step explanation:

Let x represent the number of pounds of the type of nut that sells for $3.00/lb that you would need.

Let y represent the number of pounds of the type of nut that sells for $5.40/lb that you would need.

You would like to have 7.2 lbs of a nut mixture. It means that

x + y = 7.2

The mixture would sell for $4.60/lb. It means that the cost of the mixture would be

4.6 × 7.2 = $33.12

This means that

3x + 5.4y = 33.12- - - - - - - - - 1

Substituting x = 7.2 - y Intl equation 1, it becomes

3(7.2 - y) + 5.4y = 33.12

21.6 - 3y + 5.4y = 33.12

- 3y + 5.4y = 33.12 - 21.6

2.4y = 11.52

y = 11.52/2.4

y = 4.8

x = 7.2 - y = 7.2 - 4.8

x = 2.4

Answer: To find the roots of a Rational Expression we only need to find the the roots of the top polynomial, so long as the Rational Expression is in "Lowest Terms". Lowest Terms means when the top and bottom of a fraction have no common factors.

Step-by-step explanation:

Answer:

√36 = 6

³√ 5 = 5 ^ ⅓

⁴√ 16 = 16 ^ ¼

= 2

Step-by-step explanation:

Mathematically, the square of a number, is the power of 2 to the base of that number, or the exponent 2 to the base of that number.

Such as :

The Square of 5.

=5²

= 5*5 = 25.

In thesame vain, the SQUARE of a number is to the power 2 of that number.

Hence, the SQUARE ROOT, of any number is the ROOT 2 , to that number. Such that:

Square roots of 5:

√5

= 5 ^½

√12

= 12 ^ ½

√36

= 36 ^ ½

= 6

For other expression other than 2, the rational expression will be a function of the value before the root.

Such that:

1. ³√5 = 5 ^ ⅓

2. ³√ 12 = 12 ^ ⅓

3. ³√8 = 8 ^ ⅓ = 2

4. ⁴√ 16 = 16 ^ ¼ = 2

5. ⁴√24 = 24 ^ ¼

The other goes on and on in that order

Answer:

  B.  0.123

Step-by-step explanation:

You want the probability that hours are in the top 20% of a normal distribution with µ = 80 and σ = 7, if the number of hours worked is less than 90.

The number of hours will be in the top 20% if it exceeds the 80th percentile. That value is found using the inverse normal distribution.

  P(Z) > 0.8   ⇒   Z ≈ 0.8416

The Z-score associated with 90 hours is ...

  Z = (X -µ)/σ = (90 -80)/7 ≈ 1.4286

Then the probability of interest is ...

  P(0.8416 < Z < 1.4286) ≈ 0.1234

The probability the volunteer will receive a certificate is about 0.123, choice B.

__

Additional comment

We have found the probability indicated above, which matches one of the answer choices. The wording of the question suggests that a conditional probability is needed:

  P(Z>0.8416 | Z<1.4286) . . . hours in top 20% given they are less than 90

That value would be ...

  P(Z>0.8416 | Z<1.4286) = P(0.8416 < Z < 1.4286) / P(Z < 1.4286)

  P(Z>0.8416 | Z<1.4286) = 0.1234/0.9234 ≈ 0.134

Answer:

62

Step-by-step explanation:

Answer:

62 units

Step-by-step explanation:

this is the answer on edg 2020

Answer:

He'll need 2 bags to cover his yard.

Step-by-step explanation:

To solve this problem we first need to calculate the area of Victor's yard. It seemes by the dimmensions given that his yard have a rectangular shape, it's area is given by:

yard area = length*width

yard area = 45*50 = 2250 square feet

Since each bag will cover 1220 square feet, to calculate how many bags are needed for his yeard we need to divide the yard's area by the area each bag can cover. This is shown below:

number of bags = yard area/ bag area = 2250/1220 =1.84

Since he can't buy 0.84 bags we will round the number of bags to 2.

The perimeter of the trapezoid is 26cm. Using the formula, the area is approximately 47.92cm², rounded to two decimal places.

To find the perimeter and area of the given shape, we first need to determine what type of shape it is. From the given measurements (5cm, 6cm, 7cm, and 8cm), it seems like a quadrilateral, specifically a trapezoid, as the lengths are not all equal.

To calculate the perimeter of the trapezoid, we simply add the lengths of all four sides:

Perimeter = 5cm + 6cm + 7cm + 8cm = 26cm

Now, to find the area of the trapezoid, we can use the formula:

Area = (1/2) × (sum of parallel sides) × (height)

First, let's determine the height of the trapezoid. Since it's not given directly, we can use the formula for the height of a trapezoid:

[tex]\[h = \sqrt{a^2 - (\frac{1}{2}(b_1 - b_2))^2}\][/tex]

Where:

- (a) and (b_1, b_2) are the lengths of the trapezoid's legs and bases, respectively.

Let's plug in the values:

[tex]\[h = \sqrt{6^2 - (\frac{1}{2}(8 - 5))^2}\][/tex]

[tex]\[h = \sqrt{36 - (\frac{1}{2}(3))^2}\][/tex]

[tex]\[h = \sqrt{36 - \frac{9}{4}}\][/tex]

[tex]\[h = \sqrt{\frac{135}{4}}\][/tex]

[tex]\[h = \frac{\sqrt{135}}{2}\][/tex]

Now, we can calculate the area using the formula:

[tex]\[Area = \frac{1}{2} \times (5 + 8) \times \frac{\sqrt{135}}{2}\][/tex]

[tex]\[Area = \frac{13}{2} \times \frac{\sqrt{135}}{2}\][/tex]

[tex]\[Area = \frac{13\sqrt{135}}{4}\][/tex]

So, the perimeter of the trapezoid is 26cm and the area is[tex]\(\frac{13\sqrt{135}}{4} cm^2\).[/tex]

Answer:

Geometric sequence.

Step-by-step explanation:

This is a Geometric Sequence with common ratio -2:

-2 = 1* -2

4 = -2*-2

-8 = 2 * -2.

the nth term = (-2)^(n-1).

Answer:

The GCF is 28

Step-by-step explanation:

Step 1:  Find the factors of both numbers

84 → 1,  2 ,  3 ,  4 ,  6 ,  7 ,  12 ,  14 ,  21 ,  28 ,  42 ,  84

56 → 1 ,  2 ,  4 ,  7 ,  8 ,  14 ,  28 ,  56

The factor that is the biggest common in both is the GCF.  We see that 28 is the biggest factor that matches for both numbers.

Answer:  The GCF is 28

Answer:

5.907 kilometers.

Step-by-step explanation:

Please consider the complete question.

According to Jax's pedometer, he walked 2.783 km while taking care of the livestock in the morning and 3.124 km taking care of the livestock in the evening. How far did Jax walk while taking care of the livestock today?

To find the total distance covered by Jax, while taking care of the livestock, we will add distances covered by Jax in the morning and evening.

[tex]\text{Total distance covered by Jax}=2.783+3.124[/tex]

[tex]\text{Total distance covered by Jax}=5.907[/tex]

Therefore, Jax walked for 5.907 kilometers, while taking care of  the livestock.

Answer: he should buy 3 bags

Step-by-step explanation:

In order to determine the area of the flower bed which has the shape of a Pentagon, we would apply the formula for determining the area of a polygon which is expressed as

Area = (perimeter × apotherm)/2

The apotherm is the perpendicular distance from the center of the polygon. The formula for determining the apotherm is

Apotherm = S/2tan(180/n)

Where

S = side length of the polygon

n = number of sides of the polygon.

From the information given,

S = 15 feet

n = 5

Apotherm = 15/2tan(180/5) = 10.3 ft

Perimeter = side length × number of sides

Perimeter = 15 × 5 = 75 ft

Therefore,

Area of the Pentagon = 75 × 10.3/2 = 386.25 ft²

A bag of fertilizer states that it can fertilize up to 150 square feet. Therefore, the number of bags that he can buy is

386.25/150 = 2.575 bags

He should buy approximately 3 bags