Find the horizontal distance x the escalator covers. Round your answer to the nearest tenth

Answer: 1085

Step-by-step explanation:

The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

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The best way to assign values for a simulation using random digits table will be option A.

The best way to assign values for a simulation using a random digits table would be to use a table with at least 10 digits (0-9) in each row.

For Country X, we would assign Blood type O with the digits 0-5, Blood type A with digits 6-7, Blood type B with digit 8, and Blood type AB with digit 9. If a digit outside of these ranges is generated, it would be ignored.

For Country Y, we would assign Blood type O with the digits 0-5, Blood type A with digits 6-7, Blood type B with digit 8, and Blood type AB with digit 9. Again, if a digit outside of these ranges is generated, it would be ignored.

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Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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Answer:

ACB = 87 degrees

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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Answer:

12calories per 1ounce

Step-by-step explanation:

B) The values of x and y in the figure are x=30 and y=150 respectively, with x and y corresponding to specific angles formed by the transversal line q intersecting parallel lines l, m, n, and p.

Based on the given information in the figure, we can see that:

L II n {Then lines are the alternate are equal}

x=30°

x=30

n II p

y+30=180°

y=150°

y=150

        therefore: 1 = x

Therefore, we can conclude that x = 30 and y = 150, so the answer is B) x=30, y=150.

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The complete question is :

In the figure shown, line q is a transversal of parallel lines l,m,n, and p what are the values of x and y?

Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

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a. The equation whose roots are 1/a and 1/b is:

x² - [(-3 + √33) + (-3 - √33)]x + [(3 + √33)(3 - √33)]/4 = 0

b.  The evaluation of 1/a + 1/b is:

4(3 - √33) + 3(3 + √33) = 24 - 4√33 + 9 + 3√33 = 33

This  is used to solve for the roots of a quadratic equation, which is an equation in the form of ax² + bx + c = 0.

A) The equation whose roots are 1/a and 1/B can be found by using the quadratic formula.

The general form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

We can substitute the values of a, b, and c into the equation to get: 2x²- 3x - 6 = 0.

To solve this equation, we can use the quadratic formula, which is: x = [-b ± √(b2-4ac)]/2a.

In this equation, a = 2, b = -3, and c = -6. Therefore, the equation becomes:

x = [-(-3) ± √((-3)2-4(2)(-6))]/2(2)

x = [3 ± √(9+24)]/4

x = [3 ± √33]/4

Therefore, the roots of the equation 2x2 - 3x - 6 = 0 are:

a = (3 + √33)/4

b = (3 - √33)/4

To find the equation whose roots are 1/a and 1/b, we can first rearrange the roots to make them the subject of the equation.

The rearranged roots are:

a = 1/(3 + √33)

b = 1/(3 - √33)

We can then substitute these values into the general form of a quadratic equation, which is ax² + bx + c = 0.

In this equation, a = 1, b = -(3 + √33) + (3 - √33) and c = [(3 + √33)(3 - √33)]/4.Therefore, the equation whose roots are 1/a and 1/b is:

x² - [(-3 + √33) + (-3 - √33)]x + [(3 + √33)(3 - √33)]/4 = 0

B) To evaluate 1/a + 1/b, we can first substitute the values of a and b into the equation. The values of a and b are:

a = (3 + √33)/4

b = (3 - √33)/4

Therefore, 1/a + 1/b becomes:

1/[(3 + √33)/4] + 1/[(3 - √33)/4]

We can then simplify this equation by multiplying the numerator and denominator of the first fraction by 4, and the numerator and denominator of the second fraction by 3.

The resulting equation is:

4(3 - √33) + 3(3 + √33)

Therefore, the evaluation of 1/a + 1/b is:

4(3 - √33) + 3(3 + √33) = 24 - 4√33 + 9 + 3√33 = 33

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The value of x cannot be determined and the answer is undefined.

To find the value of x in this scenario, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, triangle ABC is a right triangle with AB as the hypotenuse. So, we can use the Pythagorean theorem to solve for AC, which is equal to the square root of (AB^2 - BC^2).

Using the given values, we have:
AC = sqrt(16^2 - 8^2)
AC = sqrt(256 - 64)
AC = sqrt(192)
AC ≈ 13.86

Now, we can use triangle ACD to solve for x. This triangle is also a right triangle with CD as the hypotenuse. So, we can use the Pythagorean theorem again to solve for AD, which is equal to the square root of (CD^2 - AC^2).

Using the given values, we have:
AD = sqrt(9^2 - 13.86^2)
AD = sqrt(81 - 192.23)
AD = sqrt(-111.23)

We can't take the square root of a negative number, so there is no real solution for x in this scenario.

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Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37

SOLUTION

The given expression is,

The middle number is 13 and the last number is 22.

Factoring means we want something like:

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

1) Add together to get 13

2) Multiply together to get 22

Can you think of the two numbers?

Try 2 and 11:

1) 2+11 = 13

2) 2*11 = 22

Fill in the blanks in

(x+_)(x+_)

with 2 and 11 to get...

Therefore,

Hence, the correct choice is A.

The answer is,

Answer: 91

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the product to be zero one of the picks needs to be zero. It is easier to find the probability of NOT selecting a zero and subtract that from one.

P(0)=1-P(!0)

P(0)=1-(5/6)(4/5)

P(0)=1-4/6

P(0)=(6-4)/6

P(0)=1/3

Answer:

Step-by-step explanation:

F:  3×26 = 78 ≠ 84

G:  4×21 = 84

H:  6×14 = 84

I:  7×12 = 84

From the question that we have, the solution that we have gotten is that 4 cubic blocks with a side length of foot would be required to find the volume of the glass case

We have been given that a glass case is in shape of a rectangular prism.

The volume of a single cubic block is:

We have

Volume of block

= (1/5) * (1/5) * (1/5)

= 1/125 cubic feet

Next we will now have to divide the volume of the glass case by the volume of a single cubic block:

V olume of case / Volume of the block =

(4/125) / (1/125)

= 4

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A glass case is in the shape of a rectangular prism. The volume of the case is cubic 4/125 foot. How many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case?

Answer:

Step-by-step explanation:

given:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 +5+7 = 17

since Cindy ate 30, less than Ann and Ben together so, the factor is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70  

total            = 170

Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.

Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2

Answer:

96 is what percent of 367? = 26.16

Step-by-step explanation:

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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\(112 : ( 3 + 5 + 6)= 112 : 14 = 8\)

basketballs = 8(5) = 40

soccer balls = 8(3) = 24

→ basketballs - soccer balls = 40 - 24 = 16

Answer:

A=0.51

B=0.73

C=0.41

D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age

Step-by-step explanation:

These answers are all in fractions btw

A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51

B)100+65=165

165/225=0.73

C)100/245=0.41

Hope it helps !